{"data":[{"name":"Protein-protein interaction","means":[[31.48251183757938,28.283825061096838,23.502551361923935,21.49897517092883,17.71085494325453,21.70941094946657,19.800519852043404,22.630165554758825,24.44448045217223,22.7655511116488,26.19103565673027,28.138169683088016,23.466729656292543,24.238057809206857,27.475487535965975,26.34884498646396,22.532986294688065,25.053241767391334,24.745841870255013,24.767131446905204,27.031440471914223,28.150681269839573,29.16282973785107,27.07153794361649,24.040368603261395,22.519287579272643,20.312337722993004,19.20280844275454,22.291887455266682,23.89845660708392,29.926913555608554,28.9346291892853,33.53900913158396,35.12444151325016,30.990864367631982,27.844690244578373,26.055869281076372,22.927278857417026,19.973943702362238,22.30487914893639,19.83913640431298,23.761504433744246,26.664713542178315,24.898776946370297,26.31243852626759,24.574277168960922,28.123915205205996,27.747136149130444,23.29323614601368,26.20198107014119,28.528375835116705,28.34805228376863,30.44678053596736,26.056073794064563,31.403099564956584,33.995299617566715,30.815766789193816,31.531858700735846,36.02210051910556,35.180780427185056,32.7961689219697,36.446259608820384,36.17205460435205,37.7119443597365,33.68708242167221,30.941377253479377,30.828484506963125,29.783324367039146,29.08594161149343,29.797011447262364,29.572978655829914,33.22493367632153,33.776578044821655,34.24489734369066,33.37627008510874,38.37402516877427,34.56018662408242,38.102264143033224,35.06781460526982,33.60311410224139,31.53811770848837,28.358439723273946,27.6983444832525,26.456809992237073,22.780943065090913,23.70354502738585,26.09284957282325,29.46355937435849,29.836848496373445,35.22173592672612,34.3869978149917,38.61705824335121,36.974614902399395,36.175655840496454,32.489487090512526,35.26310025437135,32.10068663007418,32.28504308038684,30.596814503759695,33.214464330746,30.139945048874267,28.678261132070983,26.59152065081972,24.313916487042768,21.833913129117747,19.06004568189004,21.839150793161743,19.50569559756424,18.53613224105774,19.977121229693235,18.165932979031776,15.66672539332395,17.380547382707388,14.216624927008201,17.417958443746894,15.017844037079842,17.320974934200443,17.511054208190526,21.70131697990229,22.389863828945852,21.78616483417527,20.859988975691326,17.25117609136249,16.495698824897673,17.02128351942434,12.113158762105298,15.451007962428225,12.508171974268242,13.096782229914181,15.085835221339742,13.342927890620683,17.024404767872323,14.135084557115905,16.760192262963084,10.930279064052279,10.05724400884063,8.548320148810065,6.2128427760482134,6.3035188167487375,8.410243046339776,9.764114843783634,12.11016626637682,14.515331994622452,13.065155241068332,15.02691171189291,16.838178971684037,14.952009703449464,17.50347424747894,17.6975416576991,20.126485429683694,22.056619368263473,26.063311419969086,29.468258304776427,33.50750068150713,32.939854123527816,30.028450016208943,26.638101447142972,24.754004672626017,23.416766556972544,19.606464833822688,14.910964565307635,17.767185241259604,12.296459778391842,15.904394787012901,12.88929738122968,7.92571840165192,10.505994807678752,11.307667473656505,9.519352429952905,5.821690010655462,7.861067237562211,7.247238392954906,12.090812518988368,14.813417488452462,18.21317211399084,21.174908845354327,22.77912110324984,26.206787948710275,22.95820228310738,22.726992812719633,18.39201855991974,16.897937849469475,17.159278005376084,17.149804076419557,13.84113088000242,17.07404539685606,17.745891829047903,19.880049062030167,16.41032889528985,16.933762794073388,15.70380827223086,15.401994142097042,14.254590198050396,13.172146784252384,14.864127857784244,16.58118496820787,13.865078289489611,17.684471314667277,18.66706381176131,19.301371443523358,23.86010798159228,24.60878500081346,21.441352624248214,23.171521581144876,27.257143573114377,26.18565786622017,23.853718211665566,27.931042408452644,31.334911309396606,28.76310569895125,30.014858146992275,33.570035927666424,33.1263512396948,31.79554893762842,34.79064279297707,32.17863852566603,36.75910598019623,33.026517607871284,32.07816162496473,35.77081539763392,37.393128692081646,42.22374273880225,40.933130423573026,40.150757775028396,37.0472325798229,37.620733056689154,34.07587706654936,35.78703174340318,36.13627786488758,30.394309052672963,30.33491543262572,32.51806298365159,29.806664156860503,26.370224677767112,26.716095724540775,27.993994205192507,25.55278198584637,20.701644195530605,22.197328907895624,22.35423887361464,26.25929921995808,28.991895234440953,30.406191391800608,34.96187280190029,31.818929072996596,28.316528301563075,33.318491745672354,34.31998468669068,29.798912755495557,30.667859978849027,34.949724180989556,34.61145975872663,32.37121833537081,36.39126663876078,38.6619400240893,36.50993026907031,36.895217335249896,39.73642284493514,37.14222275087243,37.40055799724114,34.13477196390145,36.13313660244534,37.37605741393436,32.1004727084416,31.832803759435567,34.2799398266517,32.74021397990517,28.265595814577633,32.416087473623804,33.581520096497094,28.728969366876438,27.01003900372124,31.924189381457317,32.187467565410046,28.831913443065805,26.800779273038547,30.29254578816539,28.950793566074264,31.926400208885486,28.15820345755084,26.955830124628836,26.29491158387122,25.57072695753738,23.10836824595442,23.182496754759075,20.3212665526745,21.65872443527888,18.358867534431184,16.956507541028767,15.376473150135293,21.869930318377527,22.603680565475525,26.396863183791567,26.18023292165369,23.320217924237888,27.90063811470674,29.79471838812678,25.145249130638263,28.387310538788963,32.34143190899265,32.01695712291847,31.384451007341543,32.023333099772564,34.12610335300158],[28.526481258340983,25.33653437087171,20.70319911009839,18.34833265956923,14.9995877227599,18.9927592466263,17.34473565429499,20.648762545387722,22.212712860807656,20.79104005865201,24.37188775374152,26.55446566061728,22.225240646550546,22.60164750964965,26.332266256398917,25.561255041897617,21.85115060200357,24.817276521440927,24.82937222929532,25.372007594863028,27.851967299459876,29.490458841854064,30.44056469164557,28.4369725998762,25.434414996688925,23.351811978704706,21.147944705225548,19.370781200199275,22.360594490608797,23.7789792971337,29.60366963405685,28.687252990898394,33.28707257393989,35.23661299707471,31.279389948273323,28.221150296365234,26.523061937478907,23.878163521046726,21.262359216157737,24.333612849504995,21.734672059480626,25.26702597348377,28.51313977054575,27.03493633218517,28.49206898447374,26.968884002984712,30.630470623939495,30.182454026091307,25.90879651537461,29.08442083192561,31.221730555422255,31.071830559088564,32.96814658731503,28.362708161037727,33.50744605943235,36.28701332348384,32.983829832550164,33.31005756027601,37.9346606972675,37.31672611728021,34.53925438657614,37.86941828069988,37.29226914319863,38.814880171405804,35.01347806256433,32.07625805711645,31.424880520795504,30.049685611251363,28.942955220233877,29.234925025801477,28.874473867041317,32.446297759113634,33.2602665878793,34.19445966485479,33.376877600685525,38.71561806245507,35.249166922979626,38.776130149091095,36.007658893506374,34.931181943605466,32.83089091791936,30.004124744077124,28.940310220696116,28.154642213359732,24.628784666578305,24.995863392624578,27.362695633689427,30.40765154669889,30.638802141547536,35.78657928931287,34.65172724476003,38.743657076247565,36.79659524226976,35.80546559193947,31.839479040468216,34.33619858214138,30.89082976221463,31.471034579441454,29.59655993172766,32.183138911118355,29.698869568228982,28.22041637409215,26.698996059316222,24.27746047207809,22.57540381980644,19.24385268159485,22.170007622014175,19.941169077943574,18.20023200674325,19.533465599742325,16.948917929153758,14.775448656206601,15.783433322329035,12.803643042898493,16.029894444276742,13.655417615453525,16.56027975463916,16.986474345345552,21.417945194527164,21.807910466169922,20.700310522331787,19.36945494199186,15.462332367811364,14.38243928629553,14.618902502061232,9.9569946778175,13.284315270887433,11.191508684592938,12.395590442041994,15.503050502284575,13.567881193708425,17.792466535465596,15.651019684073757,18.220517726669627,12.334118702976962,10.721311334711077,7.83378603116314,5.659215624434856,5.025631140614621,8.37006718731978,9.423755847487733,12.86556814365127,15.020181958813039,13.247811294299488,15.928127278647906,17.23876967379665,14.832585233036754,17.03541954612606,17.126295311605134,18.853080848091654,20.892795013251497,24.53286529300045,28.28200747424726,31.874598173290295,31.51283706099303,28.97104872113881,25.623796776560496,24.00485758815555,22.942215125142894,19.426274182853998,15.282144412552794,18.409382542058676,13.299062629811234,17.51892609781949,15.224421855261248,10.425521128586889,13.527923840104492,14.477848444574173,12.705965999892241,8.889875047767392,10.6825085001385,9.14837723688221,14.152390345596876,16.37211796091683,19.443129894140707,22.077913893327977,23.27998309356272,27.12221390019685,24.342902603645065,24.20478845269251,20.344758053939998,18.079829157552226,19.17404337205613,19.636939854318754,16.359776936480987,19.719446427993528,20.19804412744493,22.737190246159898,19.405399306363392,20.132183331426113,18.97480928644104,18.499372974643485,17.177847369851673,15.67333366753822,16.93749314614769,18.157916794819595,14.681145766122302,18.254257391893038,18.41079966751694,18.851409116713892,23.32256221238873,23.835946055931142,20.30652396664296,21.897785976123103,26.07573042685364,24.57953120014893,21.816795796635386,26.18659601377708,29.66622189211417,26.543570279237578,27.740732958442837,31.42454510848209,30.795583927776516,29.164218889146987,32.300574338363106,29.76949117284269,34.5966319281496,31.022050309254578,30.27788815207239,34.074142101233114,36.11063778895074,40.88645734169258,39.95239864242887,39.37683527172133,36.50641001282512,37.39770826074932,33.96827481210318,36.0300016344013,36.09694835219794,30.131736845191277,30.549791690353373,32.89825102549214,29.818439303055502,26.501810077604535,27.396481235361726,28.377108339458182,25.4764116166243,21.208940780368746,21.939057704537817,22.685252057079463,26.61360881558211,28.856267048497905,30.477740099537513,34.85859652487522,31.73674764091497,28.024139965829082,32.713794031391636,33.70952006948022,28.984991937967088,29.575019059297418,33.75130471071961,33.20948336867216,30.745975113891074,34.941489243565776,37.06055957936626,34.56909688092072,35.02723795867363,38.06859711950246,35.55725411571221,36.17390553760191,33.14348090766284,35.39033662764991,36.233395250249124,30.75573687188041,31.01635972927335,33.339620655737825,31.48174013280609,27.262170228327687,31.809592205560445,32.57454273930619,27.459777879781196,26.308614333804446,31.341395992060434,31.181113450612898,27.59432504803882,25.082185052386087,28.71442609427697,26.92113209107917,29.829744025285937,25.73537686179072,24.706916306853294,23.697046749732056,22.802786726560253,20.60326810720141,20.98507117412812,18.410326838199072,20.066375655740533,16.426195898877346,15.780419051806348,13.621787980317357,19.859560705464734,21.04881516590045,24.89465408875646,24.569072080096962,21.283800255680088,25.742933720687,27.699476126050495,22.93952944513206,25.732418895381382,29.903216954162684,29.769893528020052,29.200361959154385,29.885149468411743,32.10888847073638],[27.314132243911555,24.256089776114223,20.13001994168652,16.81274235028991,14.758239952634828,18.041818594260985,16.495615149070748,20.335633862389887,21.009077202152984,19.429937927583843,22.984758820687745,25.744751582983536,21.635251790460412,21.06591893179912,25.270917572167978,25.085942876865595,21.266205538057953,24.338409569617273,24.19596087506935,25.546612261076476,27.91072181512581,30.147413901651703,30.74713229615988,28.676055736829756,25.994571272901215,23.338754382060653,21.58762228607013,19.33685787930563,22.501177759405294,24.14545809336898,29.31397184589672,29.023493319279968,33.5098516617523,35.58247696704171,31.921928531515906,28.74142576473835,27.5897606299731,25.02668502819156,22.786028457974368,26.684271391964533,23.458515054023987,26.406722520051066,30.075207833206743,28.72843054942502,29.93289783872132,28.570745046062335,32.356118380652475,32.09327579515455,28.126636322384194,31.681806637328133,33.78472794807923,33.922611550574054,35.59780717622265,30.80394423991385,35.89744615832172,38.5499197323004,34.90991426445601,35.03057508955468,39.74644139066213,39.06721771970451,35.792594198217664,38.77649445155402,38.02619974206831,39.18074065947618,35.61623471970832,32.733047090463856,31.24718638171716,29.79233952157198,27.972595590562484,28.040074780363348,27.281201589088347,30.598798942091644,31.947016686483547,33.24253277831024,32.85807273089549,38.51218846050189,35.572873214533224,39.259108175472925,36.89277584323151,36.231861663015316,34.46969047488139,32.10976230628592,31.05756460582001,30.81953810149841,27.263617669625248,26.964422333167605,28.854507372974396,31.821589059544802,31.449447636096117,36.47300189870848,34.801832997940295,38.57286481071224,36.4259772116239,35.48309612977047,31.318039918808825,33.43505618879144,29.76973999268826,31.16903645010742,29.385216154587578,32.317489606609676,30.32692566898993,29.377033565058536,28.19095787918647,26.166910960963314,25.378417821300147,21.846315743564514,25.10724486970056,23.22759109664078,20.962251585388472,21.883250401735133,18.547681941023438,16.370306884789947,16.112657620279307,13.044536952344343,15.311975601773199,12.57220194343628,15.647976539542489,15.536379023405448,20.148680021822383,20.687415832602476,18.922809529578803,17.502492332948606,13.118381710848075,12.345383170115333,12.978714188208558,9.645120377769056,13.598377815844067,12.853149507290366,14.925233598166626,18.749638015610717,17.10658583093075,21.55059327385128,19.81267453092501,22.12759950254559,16.360469765376436,14.068103644597935,11.073311807801993,8.597029342445968,6.233303108343365,9.564537741301887,8.761750627990045,12.746867799084205,14.865254325051481,13.348076040797231,16.702317768482782,17.99673867797417,15.344296398082195,17.587417202958843,18.12604603304521,19.11784629663395,21.709409946378305,24.626383947063474,28.931308442677476,31.865104244436665,31.435490776786256,29.382181464289857,25.933073518940233,24.978885085845917,23.776524566441836,21.14094151701281,17.35167185447313,19.983143658893,15.130067616474973,19.730083498655347,17.75595977898591,13.024916990397937,16.93604797523829,17.65107719712431,16.509234558634017,12.634439454228684,14.65392225134184,12.398969926841193,17.256479170381397,19.269197513521892,21.95143532315802,24.515752901173276,24.974991593729474,29.412802266799602,26.887901848497556,27.13053996630758,23.53393298524773,21.23386671143078,23.013873166717747,23.70065184784062,20.32533485543266,23.17879647390771,23.0343183585977,25.87325325360332,22.298188149500113,23.72320988650231,22.764343004241567,22.59486020436594,21.46701759025276,20.049321039200013,21.284457641126718,22.32115720823184,18.57446495357397,21.932886415685424,21.45198630565016,21.69271505598347,25.9834640941734,26.183122961478496,22.34707668241702,23.786307233553547,27.95771216357419,25.903947120977882,22.63678999943145,27.32519627294823,30.811065836656798,26.897074965256405,27.99913667439514,31.82707406008781,30.8455090290438,28.704413868552017,32.0692000300532,29.718385777010667,34.907078125585016,31.527222421598957,31.19493356105886,35.10033738966901,37.650005005189996,42.28777045277237,41.81676972785402,41.53133068310964,38.94915809462617,40.1609578271651,36.876617435167034,39.229666909591835,39.022030437812454,32.92752570342678,33.77682839159051,36.189226319327254,32.79667980592622,29.670980513738066,30.96203029868738,31.571458996458812,28.334398268941364,24.696717548182384,24.860513412336907,26.113315326984594,30.00184494020455,31.790798768853374,33.52291400404739,37.677207668989226,34.517564147126436,30.739534176052945,35.06230415826913,35.93240948698583,31.032159066190097,31.404719626030793,35.33802281338026,34.478385927559785,31.840365785323563,36.25812699698867,38.09071312566891,35.11680660121183,35.77332250715991,39.08138535849243,36.74092235604704,37.82438026474042,35.11226146240543,37.63353638098782,38.00085534004522,32.347830977613526,33.2371700550641,35.35867683975469,33.13623477841489,29.301205308141522,34.17188553078907,34.40654642845989,29.065461242127167,28.584560521316124,33.587065817515594,32.86545911201974,29.05551358036502,25.997294297499305,29.52995507060639,27.08353066381211,30.03895235261,25.546135443837603,25.008870999371272,23.443520093063523,22.095336257172956,20.489439339097398,21.215858881212498,19.29231526005188,21.51625581310038,17.660324641205886,18.037097234321593,15.17805667283343,20.67660748830567,22.36391146008579,26.179089520358847,25.443175592299486,21.791520237702944,26.044574631583927,27.852200819248818,22.799308600089965,24.88715595219934,29.32399254862697,29.323435494544686,28.634351995276532,29.240999240826792,31.518752449304806],[22.723388618821428,19.55882597383915,14.992743010919089,12.454812261620857,8.814374402627644,12.632205731132068,11.363328511417915,14.985031439432312,16.83348442399969,16.428498687478857,20.202631971267873,22.105057844530272,18.761877616387718,19.33948228996991,23.520096477971414,22.983709050403835,20.120110403677245,23.9881673731845,25.288180801081342,26.048327719618996,29.236736335491806,31.424594587186693,32.7616858941061,31.35145756761016,28.01646614218826,25.303452120934697,22.53998785282628,19.71620781848845,21.729595987002362,22.10077183456608,27.842033713483332,26.30803535562074,30.80598163360516,33.539222149506465,29.868041353893723,27.42640731931466,25.345113096608895,24.20668723895766,22.284667022907573,26.09224319510293,24.23323158579673,27.185731750764074,30.625464921493514,29.96768680715309,31.974073010665883,31.05449072021877,34.7437136892838,33.65438649372466,29.679352933667168,33.06816855465438,34.47237001835049,33.99258935514893,35.44580148431042,30.604877419692304,34.98326667417831,38.42529432800249,35.345659814751286,34.718799977375454,39.46221379507061,39.69238475252066,36.51599461380509,39.2396417024386,37.985104316280484,40.022777628156966,36.699053336843576,33.18146632713237,32.2518027811649,30.030176570677025,28.937697308448886,28.23915591974259,28.178399158868505,31.745457788973305,32.38595565960625,34.14310706673576,32.76432821847334,38.41443085804322,35.32375191265721,38.41291790604464,35.95637836768092,35.49482708319086,32.902342435411924,30.628774807220893,28.47116658150225,28.369467394573352,25.49820055009635,25.09220264119176,27.866958386339803,29.887445501098682,30.537697243057405,34.909539029275514,33.71965799669978,37.721437336050094,35.23482876234385,33.640962834822396,29.33205878660036,31.470844057564946,27.69451213953099,28.20405345963317,25.790236399392988,27.778331663672116,26.362391814682002,24.36851282903505,24.01897284673775,21.04430680132435,20.65631216881082,16.49102684796028,19.436678194955313,17.66541636506934,14.786750930667358,15.639307458619571,11.990169129428406,10.724023486649571,10.897669120186377,9.258968645606554,13.191593532539828,12.099709369525677,15.963029376989093,18.05309261280724,22.22390089244622,21.297258042000838,19.854417688943286,17.521083086872032,14.146067343088754,11.65910890593908,10.215158554999807,5.785048425399705,7.313122399075741,6.847091878552194,8.937642870641922,13.57625745537806,12.183231182422993,16.74438389243574,16.24304481195238,18.02909321263856,12.92379775114118,10.262709719856748,6.3717702759916035,5.997315203148018,6.468876364515591,9.752973295630008,12.271011140243584,16.693517498783645,17.503227558074837,14.747000614580333,17.76358412408243,17.382760256173295,14.32398072461328,14.951982789462809,14.135850640376626,14.534767483244291,16.104037054054697,19.304145822271394,23.191581878715912,26.276039072347114,26.411267237242043,24.34589414683712,21.37927948653325,19.851726511924003,19.72506182131252,16.402774778963472,13.967702377171257,17.890260842594724,14.41079394339816,18.94846810075777,18.50613308090311,14.934014653074751,17.821503402396804,19.805114999510636,17.694246164149998,13.869701748444468,14.382625099765335,11.878143313399496,16.17257641339213,17.02089562539668,19.25696233274378,20.859101747302795,21.67697608630882,25.709272771227102,24.080700777785644,23.83678227582991,21.258199784760237,17.390689060771198,19.96461777060508,21.45891500714642,18.557910860342684,22.271090624970814,22.863924359653193,26.11717258470096,23.838211806067427,24.306891834403054,23.482044317877875,22.062456114682153,20.745908722130938,18.491376523071747,18.935357166861436,19.594377241403183,15.11509017578541,17.622611256005154,16.55481547603991,15.874280262947051,20.227305934419068,19.84790438208047,15.940499875090842,17.963952993169162,21.871554014025204,19.53036417001821,16.9945680508122,21.63892620282607,24.59666224318146,21.001423908497788,22.54928728246898,26.177297163534675,25.042524694486346,23.567121153175464,27.089773480790694,24.933429924682514,29.75259144882833,27.239020140044495,26.2215589281396,29.878640945734965,32.55159422834593,37.202521241329315,36.740872281364794,36.01834266009979,33.468628863821884,34.61319296401148,31.148511473553206,33.964409033570305,33.94376491653923,27.672964785898245,28.629980588198247,31.68622918084057,28.377903033803033,25.085889034246648,26.836042519244074,28.057698514456398,24.622753020705538,21.050505804739018,20.127383084292862,20.958412594049182,24.736252008172375,25.95765084735444,27.517750165926575,31.45410375986545,28.204384496879054,24.46400662911156,28.638909274255926,29.337908402095184,24.386704742881548,24.855722326635423,28.70847758823196,27.820702696028594,25.323367932654012,29.81331500843544,31.598837984766806,28.78377131445907,29.611515404649353,32.88715798528172,30.67949629795936,31.650093677676704,28.862447467503,31.657174906640016,32.176833166451416,26.502152850110868,27.520005062618015,30.03407867933771,27.888631036808682,24.127756462858184,29.37863973942743,29.983698912792065,24.67234214428663,24.358927324905093,29.70841316444513,29.331071448001083,25.59932334374608,22.443694314712445,26.81045826552657,24.593668120377572,26.660073755715942,22.073862458158963,20.51397707141484,18.659417165626532,18.549136226966585,16.787149812153547,18.23096168206271,15.833183276243457,16.88784144903788,12.078951062821263,12.2480720050664,8.649285889175356,14.229088426162152,15.624401381044565,19.460956723759104,18.836249104579494,15.246179254389618,19.677916249165406,21.522976130036334,16.709148091367997,19.3343691635577,23.527593886995874,23.503440310188804,23.05729088605828,23.848111563429043,26.21018115308393],[19.180842157681894,16.202016924015567,12.538101259543838,8.52763463683268,7.883619024851238,10.734788272171931,10.661898719576785,15.210280851007798,15.875614698894752,16.057126751852238,19.757034580170206,22.22938936842935,19.835004371063405,19.226360028108925,24.092515980572276,24.386126388072167,21.784655306480655,25.890764352450613,27.262209031217647,28.890992403990914,32.002384007057074,34.813371565753044,35.82119962099553,34.38617178656666,31.3863508972975,28.11603682471704,25.797090479200378,22.45740845111302,24.41217042811331,24.75854170024601,29.600306928857417,28.596572085674655,32.8328283005708,35.90426832065476,32.68745075817105,30.320888201741628,28.737361878879682,27.978590782926567,26.502740742401905,30.99546156744548,28.666199435725076,31.066217579736154,34.86405627710743,34.350515291940106,36.12608596782083,35.31159746521894,39.10366545566222,38.20684673382101,34.463495717522214,38.126831175471374,39.54091846109298,39.27771446987721,40.554871418538355,35.58235123062378,39.84146697816658,43.22518637173007,39.89304807373058,39.01456162105666,43.82258017963018,44.07093368785682,40.434472890150666,42.75085131205429,41.237289374557506,42.96093342350479,39.966410344324295,36.46398981266871,34.649592633624835,32.22318504281899,30.354379402245186,29.156474564745334,28.690665099877954,31.856125843677248,33.111051729464215,35.479564516721226,34.489254071641206,40.49112183685351,38.076492643310765,41.20355006694885,39.242891794800066,39.29252718190051,36.95264539948663,35.19027839658575,32.891345806705594,33.33450569784304,30.555446792803295,29.54093087312892,31.917579988438668,33.66406134526083,33.81142449594954,37.82997519783766,36.08530341770744,39.662387325642655,36.83041976592651,35.12038169073572,30.535328467000163,32.033959449228675,27.90514234801717,29.38866666803664,26.897275582270233,28.911472670489236,28.599724744857983,26.955744713884158,27.420083032921443,24.673785834803542,25.394057956700127,20.99975307446007,23.88929222630256,22.380394971363863,18.81972826955453,19.416035144211172,14.970824019558188,14.558101306705018,13.010212345714708,12.144077428990887,14.731984448535574,13.751648462449085,17.76846315523065,19.50775347895577,23.643232497374104,22.628487729399392,20.368990645236998,17.676645917965452,14.127418948281667,11.609822859787856,9.811490661452297,8.46640519003693,9.120975549275185,11.257633219327765,13.696144068587087,18.742154164553927,17.169217240111387,21.74311746248254,21.78454227226524,23.604199222916865,18.718702908312455,15.992144841795346,11.921149060570487,11.696015821883176,10.959843381921356,14.036435304373807,14.879964460389882,19.60729825177651,20.39235365705353,17.917222748426493,21.455808396642084,20.947849970751854,17.714523823817288,18.03372667348575,17.47735234603576,16.50228570668561,18.264664628275654,20.153994078062336,24.5628121014029,26.396903839345587,26.878589421175782,25.75859203327958,23.019550779770867,22.307827680437928,22.472176753379806,20.2235641543849,18.64487561713586,22.092652767575615,19.05499921789512,23.803680137696336,23.536860000651377,19.784265268092163,23.225011269073836,24.830514417758174,22.983024971259184,19.09944924281989,20.06011109154428,17.385077088984882,21.666094083252496,22.369375936156285,24.212379107041354,25.541514118980817,25.650092247374012,30.10313678433802,28.944846253995035,28.95038113144935,26.73922323202286,22.735029053463084,25.740060370196016,27.349592653386704,24.439386936269713,27.936931139130635,28.143968007543783,31.553359573259794,28.98528551797577,29.88058990571584,29.019673332185686,27.857077245934814,26.431819821249174,24.138010937265282,24.407543936091038,24.58959065910592,19.889393409202942,22.04221754298043,20.023046215333,19.394299860844082,22.992157039465813,22.38126021335435,18.254858031856976,19.528556004667003,23.279307754774447,20.289410337713175,16.780701075719204,21.69872541279091,24.745800152521216,19.95446111885765,21.153507608070075,24.952448667949724,23.436830573294,21.064850779236153,24.795467269552347,22.906785366523525,28.2093859477919,25.98649693990648,25.654786272721473,29.41153039268516,32.812947853235436,37.161300979025164,37.42818588094339,37.25514789072601,35.23645749270398,36.93616033319107,33.895272804580564,37.04473039431203,36.47234332815835,30.180352150104927,31.879324042884033,34.85101150922877,31.066451444172813,28.23282859177792,30.603083652987486,31.101261291982624,27.197409637160664,24.816971614774776,23.094564558908658,24.95856685185462,28.507158415590762,28.997819234632747,30.89188125207685,34.382143170487815,31.39028913348335,27.48933454923623,30.837952561833394,31.563029310371704,26.54158801401271,26.35315958575192,29.776367782309165,28.514747828697622,25.615336099709047,30.226228971929245,31.623557313403293,28.11462572463585,29.019649146551792,32.62124405831814,30.643573439533586,32.36507612739528,30.219697832341588,33.27662729987039,32.93770800471865,27.146651759708284,29.141388939464022,31.156397217396588,28.468652710585296,25.460939198637472,31.024565911900822,30.733685471947158,25.22627673010367,26.00272545203622,31.133418212156055,29.89151790458454,25.92768513581138,22.027614257536477,26.193648798838506,23.084651600693896,25.030483733786788,19.944637124552465,19.154039923335954,16.504417513127674,15.702882887281616,14.975497818610124,17.00528254266768,15.75810113529954,17.60762028240624,13.043002721494682,15.044119300718533,11.26919422499607,14.633235838158367,17.12408675515288,20.60285698928748,19.78538353683046,15.469104576115836,19.057842351352093,20.945085382175858,16.19075462595899,17.151099540586227,21.839924347182677,22.333958160357977,22.03364014221444,22.875698163597722,25.451006330625148],[24.071799934142287,21.461672744759678,18.221458424317667,13.569435626549616,12.626968666577545,12.890581869780185,10.47466015415931,14.24700546630652,13.576894969795577,11.748565509884623,15.220033916280148,18.393869895648233,14.951849229479713,13.58794462567763,18.353708456705245,18.842996913463512,15.675935486581816,19.485759678763788,20.5774711083174,22.632802333126644,25.61393370908642,28.796190859107696,29.634459618383506,28.380755603717606,25.526909926379144,21.88612104410758,19.853805179351166,16.2819729985799,18.44773554147186,19.415635406968185,23.677655609122546,23.611099670017104,27.789192076649087,30.433669879521844,27.363252405801884,24.626596774112343,23.82162000324249,22.64857815826438,21.5385355800893,26.79207765496894,23.843575143393497,25.530310289497006,29.625424506164105,29.373889844922,31.047818830454094,30.675663646241244,34.49817366699628,33.50151069158228,30.29427625628976,34.419981695361805,35.50268974074031,35.59806582711651,36.483135035098364,31.362926504493945,35.50117082292583,38.604579867481604,34.94142280523542,33.863249302586645,38.68557400802914,38.86104864296182,34.781833685271884,36.76976272839359,35.19931453302746,36.59581419155936,33.79837373540097,30.386846929476587,28.07437118805379,25.707626011773065,23.531605187175764,22.458593561565202,21.840841938775345,25.03575274182034,26.367550033330392,28.65388433170304,27.952163281742834,34.01980731184197,31.867876042381337,35.2141318150443,33.52226344484059,33.821220307372585,32.03497278726936,30.736477285053752,28.933280556886473,29.93229739783036,26.942277787783887,25.221090731389694,26.810245464294443,28.758268467611714,28.106004119650798,32.240995656556954,30.074463747611198,33.45255909351591,30.74697555849433,29.41433176452478,24.920946099552584,26.488313155335202,22.50906573780238,24.562354311394188,22.71424471655744,25.87141183024617,24.797635213427466,24.575493907865415,24.211907975950425,22.899191665738773,24.11537198580841,20.478213000454986,24.3899911790538,23.778098528147893,21.034259610819568,20.470384628322353,16.395105873532675,13.886918925690964,11.323809738807707,8.787068859619222,9.286074770334125,7.507057199868921,11.253355910716264,12.940396643469935,16.866054847802115,15.860147857121966,13.464889101743907,10.971802616638396,7.191605402483674,5.096174992770136,5.475243982444723,5.960155347026404,10.315599870983965,11.66947672862,15.062691938772863,19.43273509928425,19.683099470381904,23.987858226757385,23.331725223395928,24.180026502217498,19.419523385914417,15.613544872200892,13.922138731248113,11.212885314350752,8.823091720696207,10.313378196981395,10.288001373285686,14.908593500670591,14.756739980176668,12.381237192004445,16.11742041398744,15.593352490837596,12.491345062530511,13.402996475469575,14.184046470305546,13.641008424426907,16.99257051902377,18.581742735283722,23.536517380901213,25.588881185666544,24.811511316335263,23.428629463822617,19.979358724454887,20.1356112149165,18.918545294593102,18.022102063526074,15.798219944510876,17.806657381307943,15.034873398123572,19.79797369160967,20.048136528087184,17.126142312314155,21.277387396981517,23.215148053870948,22.459272554435476,18.34291403454598,19.215802747042108,15.467632764513912,19.076286777271143,19.6935157882992,21.077858081685438,22.822070197303706,21.927700869341603,27.09154594358655,25.69129836560587,26.47456368631654,24.24759850848611,21.312260720885995,24.92966434976902,26.646822964441867,23.43572314112497,25.566652660810412,24.72299732863839,28.542781556910125,26.087984672488183,28.01781477357569,27.948678255626884,27.063477746072827,26.713472207605815,25.110086956623217,26.114460153779998,27.29662388130755,23.027615073730928,25.532823471073137,24.42721686877781,23.16317433100811,27.444639603735183,26.256507486533682,22.303381960467878,24.72806900581951,28.21440125316809,24.946336430694362,22.587775724541544,27.42561759578272,29.69477891167466,25.180801762267535,26.963850651022835,30.519404499409436,28.39139087091146,26.578195934378996,30.695019127875092,29.16321579967678,34.251853805649134,32.6465323181412,31.96734761940035,35.53648263742859,38.91014111016986,43.2855294178331,43.3926389176064,42.71984025783548,40.47172655390689,41.73839831430946,38.20554330665511,41.40225671750957,41.44238536955257,35.113581010596654,36.21046621827818,39.54080742073237,36.20245458172871,32.955262764338734,34.81520885629535,36.07836329383777,32.53184903506516,29.130771342729325,27.95826639225114,28.532500063936467,32.214643784917676,32.983604804905895,34.127590500167315,37.66578464674722,33.98704222862966,30.737270738489812,34.54908822067443,34.52159822560739,29.46929238695327,30.272816563570892,33.42545234807802,31.87423568275582,29.691106298678623,34.58481206017694,35.63363084125006,32.158930197274884,33.83245942986957,37.47803432228695,35.819061263935666,37.29278775980211,34.83958226348147,38.13452481030764,38.320625929115415,32.576853398920704,34.30968956341143,36.8402126607869,34.402691992389066,31.16657083367081,36.72472655163553,36.9618299061068,31.53425999504567,31.86312419561825,37.16941763578639,36.3379388877884,32.45072860693507,28.74261520168626,32.98082129398223,29.988432393705722,31.9168955963987,26.808839212065305,25.747915726147205,22.774520372913894,22.44676616134725,21.818254705313255,23.861611102287814,22.3237463110166,23.770305594758614,18.694380607825263,19.62584406318423,15.199383562183058,19.004949085347327,20.287894139041892,23.84479718911606,21.68151813494362,18.420106739524535,22.710745786170857,23.429508683192626,17.792035823124795,19.949723979340543,24.19597401766311,23.713878549664017,22.529954438612318,22.697894806661008,24.908812719085923],[21.821089152957196,19.582402768071425,17.1362332190009,12.029794846596518,12.312442980284942,10.703711711554073,8.486074995894029,12.231192409343699,10.561818850631852,9.34964643647062,12.666746384602243,15.993989294792643,13.706521814010337,11.797741847534677,16.93761479019431,17.963857398302636,15.64796463859829,19.7998811888257,21.63234204236671,23.969858190995566,27.172176043219896,30.705194187446203,31.6355475222429,30.748720199319216,27.910592835883843,23.978289560545228,21.897060154710744,17.89434468189364,19.28224526009519,19.613355056446014,23.16770766784067,23.058974450554935,26.911205245568606,30.00060746904016,27.371168859182866,25.08367413567806,24.359371447586742,24.135101598513643,23.58920049088255,29.164889947196272,26.533444390786926,27.705604719528548,31.848228424259382,32.05171659784564,33.89125220819395,33.85382350562692,37.63173210510548,36.38449638643667,33.45749585214905,37.675304276989806,38.38937014243717,38.406367737499025,39.00114210942557,33.84466294731646,37.48075202561104,40.80664875840647,37.24164015985469,35.63662136561515,40.429420966144384,41.02771153455714,36.68964635076507,38.18244544704615,36.20435740677412,37.742221858148675,35.3782545429027,31.760458140321965,29.09509996215302,26.26698658972158,23.94053451192371,22.11604065985565,21.588392398942624,24.518274272965275,25.87840829309164,28.79792671835937,27.91326594423117,34.10962151872361,32.457965176462004,35.499673871585976,34.20080724634301,34.995362022539176,33.126863167811855,32.336400216761504,30.062760112355498,31.57228341829307,28.987836117254073,26.746319614848893,28.288131542891062,29.566339844059033,28.926542735964507,32.397088054231354,30.035047239364246,33.11130637306858,30.046732170483697,28.385640077260256,23.71818719260083,24.769040756284486,20.553118382947666,23.00718361807218,20.968204699944778,23.904493599591582,23.808349033024744,23.71758060438241,24.16738673190247,22.968212616657294,25.19656335640982,21.447890072121965,25.29142517025598,25.12496371078483,22.03231343023704,20.98984434256633,16.603917469603196,14.676809453742148,11.045485345952647,9.877761253601564,9.47998903046257,9.124303771198136,12.635402023443573,15.061591144628759,18.287525988881185,16.45620647726999,13.78070204097637,10.667654947870714,8.195666953161078,5.482316381495672,4.274442481225085,7.943003866066571,10.487685249204073,13.164312921655691,16.655949876476384,21.19048883761332,21.81762107576036,25.991242554532178,25.957230967948117,26.41569105676322,22.16783614192802,18.19341028805637,16.553764458260158,14.471460551833609,12.612775537039493,13.742639838334043,14.037753514593321,18.51347756611226,17.7554100619058,15.266715775574406,18.825814709559353,17.477881002573614,14.403849298186175,14.243441117849851,14.740677937856805,12.930143856883248,16.160668823109,16.64935061811064,21.828509161772836,23.022247941062428,22.386557138833492,21.694510643432338,18.573028473280093,19.335895946246662,18.574680404146115,18.534358859441376,17.535922540760186,19.424995985742992,17.79038553911614,22.352976367748862,23.378120955442487,20.959644077790983,24.9739882423049,27.1762468923224,26.33657469540199,22.231317187510985,22.801282978290583,18.922791443816244,22.09353610773562,22.12579343645739,22.939951153706573,24.080870018502566,22.694293379255893,27.930393230611728,27.24895652336894,28.105020513391995,26.607039733361326,23.222854169800637,27.416845966484054,29.500740215824273,26.481745879943148,28.57834395456825,27.682209599707026,31.73924564414993,29.70092522950784,31.595921927776907,31.668564800097442,30.5013760333759,30.190543512573733,28.39024177929895,29.13927210586799,30.12549263774395,25.632009790989738,27.674429043095255,26.10209013383699,24.367035327814484,28.32094308041425,26.60665549003485,22.689681477453938,25.211787119337284,28.28868357092542,24.505891257464178,22.422859079193735,27.175360037365778,28.900180023770027,24.03283790394154,25.979332786439123,29.337863661357723,26.702754596647107,24.929386935218808,29.291990388551284,28.21198583149204,33.20049849760135,32.447217431407346,31.74778052364641,35.112980816511616,38.904870464619535,43.052552659445205,43.544303321717855,42.84592184119354,40.88455898529683,42.299697508838825,38.836146765975386,42.405255937879296,42.38439828309807,36.041820703334224,37.41831175542286,41.033722566717046,37.63065373315977,34.498201302491594,36.72150890311082,38.030394383667094,34.296972689696595,31.329445350470234,29.473537482105932,30.077307408588474,33.55521165714316,33.726696815024326,34.75522631228617,37.884416330005486,34.177171286723734,31.1023733585179,34.40807874092231,34.078427705115246,29.050954276978654,29.792844904369733,32.470426293858296,30.589191156259847,28.520559275446296,33.522365374911004,34.15142988678119,30.372537487066793,32.439877469430655,36.227328345265114,34.92229481498183,36.69859238075358,34.548271316740156,38.14941270915292,38.054719476041036,32.35752386206601,34.60766975723821,37.13967912098274,34.547343443047296,31.774848187917005,37.56702687975636,37.619593191423704,32.2272810306523,33.080388996516035,38.377143337273694,37.35396158744667,33.46990613566837,29.468781352133934,33.87725966554202,30.61334989498179,32.01639071216807,26.736431620930983,25.58816769873767,22.01162655242775,22.079241335440727,22.0445767680135,24.62322176730414,23.457039612369964,24.64604827788068,19.39816155862726,20.829378083937286,16.10209507389052,18.494615173653813,19.81345333796552,23.013688019066525,20.35776136376617,17.203331765210528,21.069980342074572,21.314993393166144,15.691976793960245,17.32158404268185,21.460821845128642,20.92933950706905,19.648849169310775,19.693398407110553,21.954863832564666],[24.627809197147595,22.74451548337167,20.937435064479644,15.565931040289495,16.703831240029956,14.529905716711012,12.386178924096145,15.493285533340565,12.580964500005667,10.48805084983266,12.826554542595591,16.842750478124913,14.704647182819404,11.31687922508151,16.36389106476383,18.124179935124744,15.712790940736891,19.29525808489595,20.625215587155132,23.728106783208595,26.507668517002653,30.46203744753942,30.96168620654238,30.077646602996065,27.7246179872885,23.49204749567595,22.118993283605136,18.130618994252007,19.65758025670479,20.507890223846243,22.84021673556349,23.827674275285915,27.303695252246296,30.10763535561533,27.911539956822583,25.439689446106346,25.568191029330674,25.082374759702322,24.873535959111532,30.828526575107936,27.616655953253115,28.158279837501365,32.50024367589895,32.763026100307094,34.255379035131526,34.3897978562938,38.14733604864883,37.120596854565214,34.5974508837533,39.04672462465187,39.738169746295206,40.097290772971654,40.4922564967304,35.33786804717967,38.92165529750535,41.89701427466772,38.04368024072489,36.40433242012672,41.124864195298095,41.52048155566962,36.82625656790815,37.95712128383868,35.94837938932087,36.94034087218794,34.880302243852334,31.537979472088697,28.07125497652519,25.399548327629088,22.31797927350956,20.416787293212554,19.340889885364884,21.778068646179637,23.786470313926465,26.93211063874095,26.714939650156037,32.992539669913356,31.971398801682252,35.179868841306785,34.344068098611785,35.46660807358715,34.18300856000508,33.82804106193461,31.972925207305565,33.841628691920704,31.150065061097695,28.498530371937658,29.310291984728945,30.681647285778887,29.23814345098211,32.58146740538807,29.661983464803,32.22757677015062,29.170141146883633,27.840179353600387,23.274558107081084,23.861780429914592,19.715886931640373,23.259761667068993,21.7984431430795,25.364419531479125,25.349998065435305,26.253195538468123,26.503562209665297,26.146012562524906,28.68215963789773,25.290868223948742,29.360024843998605,29.414834304922692,26.49031191859285,25.23151642570671,20.96845837274819,18.68709320999921,14.816343360120452,13.276703339259623,11.236566124423613,10.44312559328186,12.822035108953271,14.250992368802528,16.92437246609294,15.429128259673297,12.179311683726961,9.520656411887362,7.49046780365164,6.746490883284952,7.693780211601407,11.86132968842494,14.989381367031656,17.454904844335815,21.01485724877292,25.34716583429359,26.175074682947123,30.340213706389868,30.034968894828207,30.405092094709147,26.084020844364616,21.993708070567962,20.700985470002593,18.07068792921501,15.577692360439782,16.165385543810014,15.118211245680998,19.027622561012723,18.055536678229945,16.24007900330829,19.78778842986416,18.764192451520035,16.093268619549143,16.34993534033111,17.644253638956876,15.866151744061497,19.566621274445964,19.36271257298791,24.66838368857137,25.29738258399459,24.16765807002337,23.86720197033162,20.659964216898707,22.18359996941713,20.825267121581376,21.769996098196795,20.59071800235176,21.509458049832382,19.99559101469441,24.371238975272632,25.33977171502586,23.080758448716892,27.462187174034195,29.40665036249904,29.118553993760152,25.02232477979692,25.87145208836483,21.843784118162727,24.816472685452304,24.98517503294094,25.601624621360706,26.936319926646682,24.945927069442348,30.473235908136786,29.71683638741865,30.987536100720384,29.439369528214556,26.685117984357404,30.925639426263764,32.903190118615946,29.74732448221788,31.219114548826145,29.747681129087628,33.83184992810513,31.56964241056818,34.064271332191396,34.34797337973843,33.54963178550176,33.53390519741536,32.031251825065205,33.04179864365499,34.21610829663052,29.845349315767635,32.07770769694136,30.600760757019135,28.938526918111883,32.90182385725661,31.149473094749986,27.24957135213342,29.714887203331248,32.75899256306546,28.871219995080978,26.68197796165825,31.43022444662835,33.08404747954521,27.989204865830068,29.83786456249574,33.152372492006116,30.31226366223842,28.313329084589064,32.703700746120354,31.803902030488853,36.876894841290685,36.22314518837566,35.78487219205286,39.15155618357179,43.10921593321486,47.152024243669,47.82682528599222,47.24580841591329,45.37235005942247,46.84271420828169,43.398527055455766,46.98440442725576,46.93738186612316,40.59823315537113,41.996036602077496,45.568335303841145,42.12237420109395,39.01661554051755,41.19298570969065,42.400534352066764,38.650581647846856,35.6856499851381,33.973319995967145,34.611222497052566,38.11417111079963,38.29769720717333,39.26051538069314,42.323120136998476,38.53409661589593,35.58845906769101,38.817941083164435,38.32864404007853,33.3403361030836,34.13543612082614,36.60327768606266,34.559854534492096,32.58484516023352,37.60519292820177,38.00121105221807,34.03732875357737,36.290299559059655,40.14944381386608,39.00378618185026,40.948469262673584,38.9315050949927,42.597368137426564,42.36486080461838,36.68341904429952,39.09040846767946,41.5355966553894,38.84805982539295,36.201384991091025,42.001621285426104,41.86954903801334,36.441924823097374,37.42739063622985,42.6572933320221,41.430795176198366,37.48931296239463,33.37020488121275,37.55157807366192,34.03348811633014,35.55482413057945,30.216178786307236,29.450732705872756,25.73313213317678,25.453171732439927,25.74952660873134,28.28364893672711,27.416290479015387,28.917503273517795,23.816108085842068,25.3735936331589,20.678981778064387,22.880070994908912,24.19618744817443,27.251908298091536,24.281558991777477,21.35410791634068,24.94346687273175,24.83856232086672,19.31527549293308,20.459865518130815,24.396433217077128,23.753675780338018,22.20605911008857,21.918626569127433,23.91954651436416],[25.818794746375236,24.05219316314562,22.150289852065917,17.18501870449928,17.3897958060429,14.182035727829446,11.01482564822595,12.763699300346595,9.354484109976212,6.071623429458461,8.05480168489824,12.183604095003176,9.9637467952042,6.402745266744898,11.542779647029867,13.332649046683095,11.51452432772008,15.40681052558591,17.737619228336175,20.54602772085585,23.745867922394172,27.75386645781271,28.662765279579023,28.352723029455333,25.701197262073574,21.42366479946888,19.606506881781264,15.320367986793338,15.910059855316405,16.186753477236223,18.243047365568902,19.064604952115438,22.41820271663008,25.383868441881447,23.351691074488073,21.219849228977925,21.339384345223433,21.62472024082975,21.955595674587194,28.088875291649213,25.42464020746951,25.492221916502906,29.719734589930255,30.553030273580273,32.437342696897126,33.063086029789346,36.6890219169554,35.13380175138986,32.966045618223724,37.44625848515152,37.54615822718602,37.755361887282035,37.779332314075745,32.649705501913445,35.636307127680496,38.848582330375194,35.219554552019204,33.030826625912646,37.684381914573216,38.596943033794616,33.80371450941744,34.560105595093745,32.207380994667716,33.617696626939086,31.853035131749717,28.191795027299545,24.916079072302235,21.747547927644288,19.16268444041053,16.70842506468477,16.25370163386611,18.976007119190044,20.249455983907232,23.638502041687765,22.761992960432313,29.018216189066955,28.0354944978497,30.923267029972944,30.211188555835427,31.62326928463444,30.19867258392053,30.253509183519483,28.107491050328395,30.42078567388254,28.113187807325367,24.978691099648447,25.728891376745405,26.537525246990384,25.232392094307023,28.1139547746595,25.268273231145265,27.865473263062746,24.649770387947225,23.083395339037427,18.451188321028575,19.11740553034302,14.934134422657072,18.30070019872273,16.916229710223583,20.756665806551357,20.62561784225479,22.045381023814212,22.288737697227152,22.556346657103813,25.712579206477113,22.774308855615814,27.051741004612705,27.78582173270939,25.248432498461433,23.2534635232789,19.42351654403356,16.64478646756989,12.401713316342402,11.214845979272342,7.892571417259926,8.53195318823452,10.338902885058923,13.346865247696568,15.112455314367434,12.35401825676456,9.596248318988357,6.247046883841152,6.715744079719137,5.4096198959174,6.249753382131329,11.327295585770594,14.257861722178616,16.495386006443358,20.096310405330904,23.86582179837254,25.799968399791837,29.532755906739496,29.40476031517582,28.95810703153536,25.357194855517868,20.93629747210513,20.854842310936974,18.031935535405758,15.94490506838051,15.558368394623745,15.635319962033828,19.25536617318318,17.21709615817425,14.990374101902422,17.99622405219561,15.95999445795784,13.534035821234289,12.921283691657703,14.371292700135674,12.326025108362712,16.36767286624719,15.749594256702109,21.019286894564555,21.811233337009792,20.038855402634287,19.601116447924664,16.275313174492734,18.299080992850428,16.615679100004964,18.517441685817836,18.022608889786063,18.36139106220746,18.142724178049605,22.04632891391763,24.060761083487733,22.879311338709712,26.927720007935232,29.482196673263005,29.313412408243398,25.30866673090096,25.531184288203143,21.19213992109877,23.254140240730568,22.76366052895704,22.705111739631896,23.63307417060401,21.099047305945525,26.66902935215228,26.374399797058025,27.8705591057085,26.99666007834522,24.334791601593775,29.095547738180546,31.408125887865342,28.469862208785063,29.453786005649366,27.792921257611788,32.156197042706566,30.680791260542126,33.167588896249875,33.90812125208704,32.73984715700675,33.20388950918748,31.785949866173585,32.817411267330755,34.30518797690526,30.082669917993424,32.03063279608091,30.839891954617404,28.548764468537495,32.6661844478832,30.391934930257694,26.775453066989154,29.96887960154841,32.62292287128213,28.593505400961412,27.441125111565366,31.97066215393833,32.901068493428866,28.31697589363852,30.659991948434943,33.67219110524018,30.52392623997396,29.294454061903448,33.861237723500714,33.19956068027895,37.861730740733734,37.88804932389013,36.896700769066875,39.9932149085482,43.86907882458874,47.91070348673175,48.426256525958124,47.327404802420276,45.34251057225518,46.48331516120073,42.7393461747244,46.478319352594056,46.88203472051263,40.586249379989795,41.649844687246244,45.62665431650887,42.55073049871146,39.22246014953022,41.253751542633914,43.11844752081834,39.56926851093751,36.17414173778569,34.35826460403719,34.11123454485407,37.48880523399334,37.552586972695046,37.96039268738739,40.84074534758577,36.70580627486362,34.295012917447345,37.59759145803856,36.569134016273175,31.717687346373648,33.13305794506501,35.312367025359926,33.13938461272693,31.751003173161642,36.832806681668146,37.00758391722366,33.283639228055115,36.01988839331594,39.78686933236239,38.89168320160707,40.553187524232676,38.343359499145684,42.1814828151146,42.36733016497102,36.82877294651233,39.055785055105986,41.931161239550555,39.49759354846775,36.786798098822395,42.61065719877915,42.982863072557194,37.70891423099229,38.46101287352816,43.85074671286257,43.069252801311386,39.26507142670688,35.311875217606556,39.8736435746349,36.64861840793406,37.79050765153143,32.499148265184054,31.08138300487788,27.22876527263789,27.77964688404111,27.90154144712504,30.645740740688822,29.379345333945995,30.17957193678252,24.681667331922863,25.63948832996861,20.724129478139822,22.725372776543974,23.16810427451758,26.047797195100674,22.403569294204413,20.391978751595907,24.250990826593682,23.408742658798943,17.746621107767915,19.92235279737849,23.195701196751653,21.851571457841487,19.8491568270354,19.183650199195935,20.868353498709745],[23.26465088467766,21.946232032043486,20.786777648978653,16.158855224529287,16.93912180726208,12.26163737843057,9.676656640100145,10.488278262378632,6.009810757383589,4.892842860502488,6.0707934134413195,9.632639138335811,9.913954318651326,7.17569927230471,11.852177254069614,13.823213952685508,13.63919868387205,17.798246300554112,21.08721054662299,23.547816678439567,27.061712610026724,31.02767504183554,32.25197584424413,32.30683298694716,29.47804866486136,25.27391933960907,23.099576984077704,18.71459913874611,18.335476653207532,17.462872538698715,19.11213239256993,19.11635540562887,22.02027869238009,25.670452363550275,24.070013927661698,22.76630313461936,22.45306760595818,23.998427655877986,24.692199469939137,30.68497205976833,28.749657567231083,28.704454377426234,32.72516701545129,33.9512256137317,36.15357446729836,36.96945082193049,40.514953357442984,38.62420809011951,36.515768526562226,40.8832998491562,40.6420017962903,40.56749537620956,40.41458143588127,35.34354189265171,37.76617159136817,41.3683404292601,38.08397765144797,35.39780443094367,39.95629382613016,41.4383397088436,36.677488807935056,37.07876894683242,34.332333793175806,36.19871426514794,34.79627771876918,30.857831592101196,27.796462525294096,24.15297767763731,22.019240774409973,18.838801520799183,18.891117865946587,21.31445610380835,22.137542798912623,26.028001778034913,24.54556081132687,30.63586937890809,29.937830579995026,32.23521454333015,31.757327293053326,33.52409968444852,31.69048645354399,32.06789384812091,29.202662088912977,31.813650650505704,30.075820032543326,26.741232856548567,27.85028690596395,27.783257256684653,27.043662871126703,29.041897395814697,26.40235333547382,28.804485339119733,25.21328601770589,23.022978579980297,18.317201311971115,18.40726314837996,14.041846181755442,17.157395695622935,15.196925854610718,18.16125942205791,19.48373927741459,20.520731323715907,21.944681307997556,21.929950848714036,25.973911857493935,22.891064739327167,26.801490570483004,27.902048046927202,25.06995296568339,22.723732401841392,18.84036060624878,16.9889777711065,12.331168581371712,12.866881173902778,10.244303049554365,12.219865901163876,14.170302381284202,17.868600039229968,19.23879626644368,15.792685107497135,13.519993538132605,10.12497287039062,11.378690919646948,9.277533316262273,7.987175132293549,13.37564022642562,14.342026549928793,17.42677454952958,20.807918174151343,24.60271349130792,26.746605574382635,30.239673967528937,30.82474344518143,30.063820006550973,27.061386303232478,22.7051643196183,22.48568865923128,20.48456795819717,19.097393389725777,18.93239116908298,19.879257167750264,23.682991714718256,21.512419993857748,18.960460615651545,21.69935698649851,18.917459224871433,16.497973722910285,14.6723313306466,15.180953048039626,11.869352462608363,15.034493456612497,13.107170455887683,18.281463880069158,18.03969458359251,16.642499516781175,17.106474397485883,14.541289482258808,16.975619019387437,16.3350151573715,18.679673698267788,19.625713404788446,20.38776439076024,21.126022195145083,24.80550615664937,27.42836095215497,26.500657232154825,30.195702998433262,33.05827405780806,32.49744365265176,28.51854347500361,28.380005122082547,24.120404851920327,25.936756283657374,24.877062250781773,24.386716780352675,24.516355257947524,21.892285801011216,27.109172418082238,27.692622212108528,28.978128691111454,28.914401942215743,25.543624525810973,30.69475989313809,33.366053657488386,30.73163845024969,32.03775684626813,30.70920806518892,35.18493519559123,34.21267462817727,36.28976403163712,37.01096746495715,35.40380574407293,35.719182775503604,33.97829827489515,34.6313732065647,35.828734153905856,31.417766379151065,32.8127138991267,31.196461514309856,28.458759359046233,32.137383536582284,29.370648809540437,25.96758209897041,29.235658508305516,31.35111060779419,26.97198065689283,26.36487817947511,30.577280290625247,30.818425920080454,26.231689844110168,28.76870193355102,31.413891888124766,27.848785291894398,26.968809263821488,31.633236577078307,31.445465836541697,35.74649191860482,36.71575631562023,35.54648613406228,38.3124674339854,42.45864250719866,46.23401028330169,47.04726107823463,45.82886857194179,44.12553615568083,45.34667437295107,41.699171463514894,45.77463492020246,46.15879135283693,39.9544838494009,41.24414108542971,45.49932154246022,42.45026442707166,39.2600995480794,41.62677395957734,43.59732210310762,39.9404318648968,36.97828259345531,34.48895431064942,34.198199594093005,37.28170955120833,36.72112300225289,36.97961777559085,39.37304355998259,35.29914671385663,33.133015925265376,35.84662367415667,34.51310075918014,29.827668187578084,31.1920357615006,32.821997209241275,30.377899703628263,29.230484734935153,34.28091445848693,34.03235218934785,30.176950575331965,33.297764359073895,37.08272560052285,36.57428803711806,38.41529770988129,36.501793887317994,40.577320141453825,40.57106479251379,35.22517370716675,37.843358862470055,40.745697290768,38.27761365703676,36.035849290510924,41.96842177299942,42.282068774584985,37.18493918813887,38.344091796874636,43.67312552036588,42.849707709240704,39.1575038933974,35.08923252118962,39.843380248740075,36.57612908891851,37.090715286432484,31.829069272959646,30.134251169963953,25.91177225541804,27.086713435623786,27.59352647875871,30.746810897370324,29.683830430131913,30.02180267835448,24.505116277246135,25.734221727567505,20.80064049644634,21.39364903697471,21.67189029815989,24.01733049142453,20.003659462881235,18.405308940054304,21.648737120376982,20.22451657892878,14.968166646903112,16.721659828215525,19.47560408970652,17.97474741737885,15.884551073360814,15.049036444502574,16.742372325342863],[26.418753873344205,25.340393266355004,24.40450436293748,19.894998217901808,20.590884625400662,15.712645143259124,12.975823034086261,12.77723191226385,8.076551932872015,6.130852648058226,4.753547701707276,8.4778017209323,9.50296624317012,6.020392525798918,9.602221382167167,12.221690714225806,12.832294880441795,16.440745505938978,19.988098745346374,22.618288667155607,26.00938705284664,30.16421530314301,31.350260422098913,31.767536810396493,29.130572728778635,24.864634995470855,22.93392418122918,18.627847753308515,17.68381072029101,16.699446022517545,16.987164607833783,17.642489606231578,19.948857467496044,23.50316748277758,22.473649713388696,21.42859164119758,21.692075540069915,23.60494719582273,24.823116441570285,30.956832465672367,29.059819204614634,28.367015046034542,32.329484855026344,33.91303233723416,36.097474538764025,37.27548871203942,40.67927094729662,38.64463944990199,37.004622322096466,41.45420993489825,40.870612652579,40.908614862795524,40.422882086515216,35.44975647887666,37.42723360915589,40.914188742895185,37.64722346903744,34.62711332680281,39.01657881231717,40.69536691363584,35.71987643561728,35.61097347953678,32.63068611706201,34.399560489577844,33.454815887756546,29.56248831477489,26.172020731309882,22.363132048483624,20.168038915505452,16.527703091815088,16.71510034221664,18.761080725187266,19.43438687884065,23.664245107834912,22.168056944518934,28.143571951761146,28.001727564664968,30.08463780259524,30.069554483519592,32.259116839909844,30.74001173908321,31.676680756825125,28.929237571952452,31.9899833759113,30.469692489123783,26.685764523186652,27.277114465186468,26.84412362554317,25.705271114260295,27.137451318268194,24.20508612039149,26.144336602777557,22.437968460018016,20.27074868022601,15.703275040505881,15.2562399191226,10.963772063843761,14.904654900657183,13.543005759618707,17.03313661587608,18.481775752559415,20.569313212344134,21.875229963921523,22.794384634799272,27.253346622020896,24.705774962619973,28.737006900176475,30.26326012293612,27.76822413528442,25.038676622137782,21.558437968449223,19.354908857818494,14.772807542994997,15.168313953478707,11.604473560180741,13.771498724992766,14.691772770660421,18.349128067145003,18.78140835138336,14.973385115411388,12.99523902117882,10.10616467700366,12.7029427439814,11.44000396374762,11.021805290834347,16.29198934506721,17.576455302240408,20.298088582481412,23.645260943170193,27.012941080955095,29.691665262741505,32.95967670001875,33.45590180696388,32.293088965534174,29.606231978736766,25.12875773165036,25.552430675256762,23.222326883255636,21.704987963777267,20.97408909348711,21.73831817111629,25.04673402943074,22.37180899233027,20.082356022937237,22.41431161970793,19.405469273912487,17.497505989092286,15.547736297977485,16.503854878329847,13.360649465191196,16.65533851850366,14.133047182688633,18.96152055604407,18.344325688401838,16.158005994443933,16.924863588662348,14.472885536353935,17.673511139071255,16.52928648986579,19.951073150512276,21.11712972976875,21.01715740737667,22.462945728003127,25.673919788619585,28.71812092820331,28.374600707840806,32.045137222827506,35.01639790074035,34.791519869372735,30.892453620692194,30.631489204105502,26.237271481608342,27.51762819968137,26.24116893763896,25.30499859834088,25.2989838884894,22.08024635058849,27.30426484460297,28.13565053511636,29.757684076910405,30.044671816528037,27.147741015749315,32.467826033475625,35.202810377167566,32.63558311235558,33.35155754284624,31.64076944535753,36.19538027255802,35.51678595918712,37.87949391810937,38.92410088869896,37.353515257198026,38.04316257006779,36.511913023906104,37.31191038199934,38.74736687635785,34.494156448210155,35.87417897721788,34.46450619201044,31.536716939479795,35.27016725670293,32.29739110172627,29.08013883648645,32.594902843093344,34.51786437817615,30.10375827745276,29.886016286514526,33.96549756666319,33.85425614471373,29.4766147685824,32.138223177068795,34.59379918373659,30.847889404923894,30.223732212938575,34.90374709732697,34.901936831256634,39.01840601835212,40.31491879325285,39.03810289301113,41.6671457045028,45.821782227228034,49.52515092685621,50.3456195309445,48.94128239938102,47.23420695969226,48.30900925547505,44.54520457159434,48.670305213379834,49.265113567116195,43.11861176820427,44.24083365246712,48.63944748248309,45.75900052649657,42.48780852631166,44.73699379978797,46.9542227875619,43.39812023848423,40.23254017571996,37.81266650090675,37.13690089968328,40.15675363888813,39.56859347013129,39.51350654981572,41.75498165793745,37.503310887628,35.713630271209915,38.39729921030537,36.710928312064404,32.20425531058181,33.89318447846701,35.2371964680643,32.68049124963412,31.91709393019551,36.9190725326572,36.427880766385925,32.669221254743725,36.085555405824486,39.806999579651254,39.51603600931932,41.27948653924231,39.35650088655967,43.506693238092495,43.64103680083702,38.419920647833415,40.9942416875991,44.036623596929424,41.6595031234975,39.448072524110934,45.35589166833867,45.8143364476894,40.78642924349786,41.879220323149674,47.23233091912246,46.51737883939432,42.863872246235765,38.830707930372405,43.62097265412412,40.3677287966437,40.8060477157215,35.56008489959766,33.79502379335954,29.518933357005775,30.820054775010135,31.36934741063206,34.54369968953305,33.43843597244308,33.66220484664032,28.092127841127763,29.100559610991006,24.162701627266127,24.695906947799635,24.58537936715739,26.72391491696765,22.35661411705646,21.382574284322413,24.51214298795853,22.586805876643584,17.61715850288171,19.523157634768314,21.643759427652338,19.74764840108079,17.308220605656086,16.03628985874635,17.11829055669965],[28.856071542866353,27.81368484035913,27.019967256503755,22.086393304694617,23.294906242073118,18.85246254469264,16.284566551949464,16.80562979634583,12.162611803282212,9.692174746264378,8.557635989898797,12.445374766900807,12.597752302404796,8.02106929983696,11.195908287444293,14.305086708145886,14.16831785330813,16.985604774234442,19.59446146009565,22.956736977782192,25.787805946268776,30.2380810071854,30.91328814989203,31.153479228303905,29.021660169358714,24.579751167544742,23.383635847790163,19.26545800545408,18.897143602766327,18.810799047381813,18.219723674130663,20.119897866261457,22.188980815462305,25.15605491247509,24.36954189993367,22.88005867796642,23.930668114046412,25.063849836833594,26.27064011303272,32.59931934349436,30.007949372630662,29.008064573664733,33.15472911339994,34.54904840792518,36.30839127493429,37.458751771828275,40.87058403693724,39.1958979391962,37.75772219058162,42.36473384406384,41.98720745796507,42.368492524706205,41.880196771405494,36.91050211915228,39.132652805040976,42.187856539226004,38.58825988165014,35.811947660010304,40.15300772509344,41.41154983646919,36.203093347839655,35.959249618012834,33.14344368762456,34.2297264014003,33.42012389653633,29.925220653329895,25.789419316478195,22.3731484159381,19.297337133261436,15.843936716640826,15.227570188938449,16.65494691392278,18.264406107265774,22.592496655146544,22.042465375728792,28.068919188172703,28.452547115528596,30.872214032199114,31.178406989570362,33.45987884417944,32.5565895054818,33.614975444794176,31.46448850679359,34.5348962062685,32.68952729416965,28.851367847381823,28.839081433797535,28.862209495416305,26.918310957979386,28.55922224563289,25.10152170125953,26.556917312499692,23.03575339089818,21.46781622540759,17.194374674684532,16.377571537562883,12.463364084779633,17.47085474987821,16.868553209654394,20.847687994117997,21.88902182697625,24.530778751807816,25.321245090646546,26.604015110236062,30.738927231776938,28.2582207365469,32.461348692372425,33.77486747011311,31.28216682084338,28.78390787347226,25.15863312073565,22.6753787512166,18.17118533323836,17.758239373691456,13.739792433205064,14.909960539927729,15.266442159906806,17.723597317057546,17.851446823881446,14.745723066152621,12.236545731768533,10.099615909681877,12.550090706142898,12.441784603957005,13.150122159531088,18.415191448623528,20.585594704558,23.169567645236953,26.677650211980232,30.198991669529082,32.581176623476495,36.094189586418814,36.21382330416329,35.335515720549566,32.19583339477454,27.693810198293452,27.92350802971527,25.163151926165497,23.065010737262703,22.313855323403462,21.97812179079216,24.940322878787875,22.398547308379584,20.70448263261437,23.17389334725464,20.83742411255903,19.122158469308097,18.033074774416757,19.626348078135145,17.020991326891775,20.68012453616586,18.454882794546503,23.298708937965976,22.589448566091654,20.309569999098315,21.083596157101397,18.46568421905182,21.68695896223244,20.00705149146874,23.435339983278762,23.83314482261071,23.267331049707384,24.135439450640977,27.418680725519355,29.991971774926462,29.409368179099165,33.45256369952268,36.05604451717759,36.20005446123154,32.2597271203179,32.396667044253284,27.96422140844904,29.469931861109313,28.612372263832103,27.891692798518434,28.35743840617113,25.002128707266177,30.445362424373084,30.82999603346635,32.692365391847154,32.52176102299903,30.14146451403645,35.23812643345305,37.730024374319754,34.9325887059718,35.34751868523695,33.254806322638295,37.71654443208617,36.5846803595725,39.41011536088474,40.470149524257145,39.31507374609463,40.07901171642033,38.75613066769215,39.79100404521597,41.31910851569896,37.08503107796087,38.80519983883708,37.444897924363204,34.83656247867528,38.68411646000961,35.96669542753617,32.56118134980997,35.82770790681731,38.0253534975116,33.65039925597584,32.880580920313555,37.16067955144341,37.426690200028034,32.71747622039593,35.13882624411444,37.777706453046015,34.101039564790554,33.00852574598699,37.65204806165217,37.56587156890117,41.96648492422613,42.90196108936573,41.96900664429875,44.77947583528632,49.015318263294006,52.73719282622402,53.64822202224466,52.493882254549774,50.79656683739937,51.9917929121623,48.28978011881422,52.31541376395533,52.764371266900795,46.544211878008184,47.73445268419227,51.945108716730694,48.90175525277047,45.65362172376152,47.8561104307161,49.81250913814237,46.185387265824254,43.014931184454824,40.84496942460721,40.47186091218357,43.64855047809352,43.26165302581448,43.390937677526665,45.78970102210254,41.57664643939839,39.60397022829556,42.389645018835374,40.86874128117515,36.27718330399041,37.798711393835354,39.27517681679288,36.73662334055916,35.751275796100174,40.77059903342081,40.32419720819433,36.40023601532365,39.67258552852298,43.474308524927224,43.09880151243863,45.01596283768876,43.14908163171408,47.24374162228644,47.21224192945314,41.87371953364047,44.514769445580036,47.386921920672755,44.86869568383385,42.61369745436509,48.539934685457574,48.75969673307583,43.585254732294764,44.732416140210404,50.05723756510101,49.10412684268633,45.32634251897564,41.174312597257206,45.72723399746437,42.2417989187852,42.99172127514327,37.656086198843454,36.33080405747269,32.06663745522493,32.81223920188245,33.49245586396092,36.526133648240986,35.622887599201455,36.32557657083739,30.86545333530162,32.07961900482587,27.12921105428561,28.050107605355095,28.312092280842517,30.62154270440256,26.432342062050836,25.068401419786024,28.16947009749928,26.49871879463291,21.489070726885625,22.87144808533544,25.283662489373846,23.661800739209312,21.314052720830535,20.09063917400316,21.097720006521754],[23.8169541816001,23.15842667949307,23.13154379791411,18.480761709871828,20.568702335764595,15.40568822108484,13.972855659895929,14.608035034528857,9.87634724303291,9.91776258106505,9.471061157493779,12.474618436603965,14.305541265544461,10.976222645027631,14.69717381549037,17.358292837977725,17.777437255336974,21.382511598920242,24.51207271213714,27.436281295640985,30.656501708884313,34.90357647227859,35.864334725525836,36.01708166663259,33.547093672682045,29.1868214774762,27.461562387376148,23.13622410803496,22.619365194617085,21.751404125348497,22.065721743806836,22.649778088007572,24.791648435874958,28.475488376558616,27.581877480917875,26.57229642709382,26.73645180494001,28.538773193263502,29.522199873810344,35.64031783978247,33.54421704974831,33.09754794185229,37.164034533976384,38.51618209691123,40.53986238586254,41.47028552872793,44.9831508025917,43.19651731153163,41.328343471408495,45.78829187657102,45.49267080471961,45.542264538001184,45.235547842767716,40.20406492810929,42.40158149951315,45.893065325027614,42.54693520212983,39.678176773012105,44.107538034495164,45.65228622448531,40.661518291069136,40.609163471124404,37.676193753317854,39.241176152309095,38.29697719512056,34.52413828118843,30.88332669868213,27.23293116715856,24.624357303702677,21.061015733709922,20.79237057360646,22.35778191543041,23.65045864121795,28.026042143987002,26.94563587595577,32.90064237409724,33.01470533137197,35.10512220075196,35.19676757753766,37.39440891059384,35.85258661559191,36.66519213927716,33.8081877636627,36.710119634119565,35.12087695523169,31.541211629203243,32.30021792947948,31.938315491859008,30.838815301447376,32.22648535209848,29.22999189179244,30.922713309781983,27.170387780117743,24.98413899403691,20.549217095538857,19.6209054109392,15.498493019384233,19.52369503444722,17.908606638216845,20.514323988707492,22.93204775978882,24.350747514066434,26.295250905680277,26.527896277546212,30.98470830132974,27.923565451454124,31.63163571364283,32.809497503107536,29.757642248294058,27.417067818281534,23.451220076719462,22.122880810789976,17.446170295039533,18.231675045780683,15.472743654333286,17.16308281476697,18.697061573344456,21.72652239817675,22.6488159512836,19.381465015724565,16.873688740493908,13.978899951142385,15.43151971773956,14.021985812704603,13.059492301186875,18.462781397166125,19.028611730643224,22.500585137287636,25.806888342476284,29.7381376292046,31.666809746724454,35.20205929045174,35.98098875873326,35.29496951965762,32.29750409882984,28.001469983539213,27.415399038520675,25.58607616287757,24.037751133366918,24.033763253244462,24.373253054099088,28.0536846770044,25.93988980341044,23.726652407624716,26.493247252696147,23.848170629146505,21.612475875939086,19.85699450769642,20.41490627226317,16.87598833185795,19.554957588870522,16.69709226248019,21.430887146312777,19.75356202142054,18.61161301762314,20.19671102963933,18.349316148729063,21.261585302971593,20.904028066247832,23.72021297633699,24.971623904879632,25.50871423058538,26.359017902072416,29.975100584976662,32.56822042896383,31.53050015055052,35.39449898438882,38.09667591504334,37.60577245203667,33.578405779989964,33.61701159111194,29.37113918728921,31.272708810269172,30.224032792877125,29.61100933755634,29.582701513592415,26.7060123760841,31.821406801413076,32.703818562885914,34.07916261675031,34.2138444378383,30.84270393551746,36.04743594310256,38.74418316467787,36.10933648479706,37.36321978155599,35.891598065985974,40.375060516357685,39.300224890110066,41.548786050456734,42.25251117804253,40.73801911541198,40.98877665114873,39.19832417115563,39.78205820308091,40.802701503699886,36.26207061349098,37.54725445743239,35.58862731517472,32.879813227472674,36.18876237144782,33.30690793492748,29.960593835697054,32.88132306216402,34.74980982538588,30.15404449818196,29.380695719451005,33.41826370052323,33.41022739757521,28.470340482905236,30.80738468767057,33.22497462981515,29.352253752740914,28.222707662275024,32.83727967716199,33.089362227791916,37.29819478451522,38.82114863121325,37.95915344381722,40.56193693728187,45.072156525902315,48.52699961047912,49.795831186135146,48.80726598506775,47.454275468568866,48.918831955436154,45.50768689369301,49.7685997979431,49.92479927469647,43.789439450405084,45.40262798975743,49.655645827762676,46.44067431256921,43.46546425982051,46.10059421295806,47.807311779914706,43.972839317001124,41.48999854380725,38.66976483789918,38.75102457948777,41.69751477604225,40.75344892236241,41.096697538399354,43.138911054839376,39.24162320157481,37.13598201988937,39.29386234490113,37.865261414256125,33.35210694274743,34.40290989688326,35.548895597949645,32.86567870752474,31.724820504895227,36.64517106436808,35.958780907533146,31.79112704827467,35.101179361708475,38.95199093173348,38.78776862003707,41.024234984042614,39.56072610187234,43.761024380726305,43.30465775639807,38.09972337682456,41.2037673551412,43.855029281519855,41.18580640373275,39.43656481687715,45.43136079401542,45.3434907903926,40.30253869660947,41.962829868673595,47.126975577330306,45.93563038498574,42.23468260215172,37.9292061772263,42.50268813838031,38.90426173716474,39.15510033196406,33.88021853567962,32.539187119436484,28.025285291757935,29.05952033789674,30.16308371589417,33.49644857648561,32.94858759464714,33.463431904505626,28.210775143588528,29.965860415964404,25.137242708031867,24.825444363896004,25.42384891951404,27.323968265150775,23.298972015436423,21.73655912117384,24.05730181810956,22.3447430669834,17.898730886280422,18.187189614749666,20.501224249067402,19.271400269892105,17.258538537304588,16.24072359120011,17.584598962571903],[23.75599045205584,23.011795379914403,22.605941197192365,18.587941239097013,19.597065539475874,13.986735890761326,12.00588670092009,11.167849053556845,6.402473283461934,7.190006140818652,5.987178480780683,7.897189876739231,10.950419024203372,9.06513386399271,12.116415235433315,14.271923308504052,15.646160921839021,19.53459303506045,23.523230849046943,25.74171492173823,29.379992681161227,33.3465580437949,34.791805136462294,35.302525065403785,32.44277667354967,28.305237041092425,26.010486157855333,21.673493711494128,20.38071909025042,18.653376702298026,19.27872685481291,18.887924704647347,20.979857644317477,25.062499092441847,24.146692481868076,23.67987300744134,23.313518357935468,25.967681078807576,27.179560674560975,33.055129669672446,31.707418722968693,31.252152076199415,35.04184721347592,36.741357503050104,39.16972519768525,40.31849199141932,43.71216859742549,41.48661818405229,39.683668390243305,43.98529473269327,43.29158901814823,43.05437078152763,42.58313297295077,37.65169412357829,39.37043552627905,43.19343554679513,40.21987212523618,36.99455881147673,41.34545915687974,43.37578286169506,38.57585296014604,38.44496930502869,35.30159355612124,37.48054146664892,36.59238104325235,32.50030498704062,29.519500526035163,25.507874967795875,23.77247030110802,19.979449495947613,20.493572987249,22.49332323724692,22.819900592912376,27.115317484793405,25.15418242963999,30.907035163424514,30.691012743049903,32.357723371892426,32.294902624631696,34.52532952270728,32.544299241510345,33.46190398709228,30.134877972192925,33.18345217867445,32.03639582343689,28.362703028724088,29.460416342625,28.517627328490228,28.05358843683355,29.016444642469335,26.484546954078684,28.464991235571258,24.601618426571992,21.943038794581895,17.455544410646247,16.79296435234302,12.631105355247243,15.581219061605251,13.47925487763555,15.658455080328444,18.418554697791528,19.664107583317243,22.000213817987877,22.29770525121876,27.20020507253679,24.419114230986878,28.015594891657507,29.66154367735789,26.895390694545743,24.076510973276573,20.577035779817187,19.27047677576846,14.669839896215057,16.211303590541146,13.635527485347914,16.29995149652878,17.781995606943166,21.844428614932994,22.53420299080934,18.55325017553378,16.781316834925324,13.666449321025732,15.837757720610075,13.82759672083372,12.213133375058959,17.31827756132731,17.187429758172843,20.442495010345482,23.521518918571395,26.943015591996634,29.55995617693772,32.65434267000519,33.71143113204346,32.460508444186324,30.157844727739356,25.85142957334017,25.972845464862594,24.354391374668097,23.365258118910468,22.99171829522916,24.38919817052566,28.0334120901611,25.50101861249372,22.883625079154072,25.20976139903547,21.859956510374477,19.76964978592056,17.174717276344523,17.255068353746825,13.369304706473327,15.629526732412256,12.240623784268715,16.770451385257036,15.218136389095626,13.734147395581418,15.328675959080757,13.746708992608244,16.86439100180711,16.858125235923684,20.06064648729783,22.166800841848875,22.723451079813813,24.492314669733833,27.698454652934355,30.959877693694732,30.559350686317003,33.96085529071656,37.10282372204688,36.463069121717105,32.580187777435455,32.10294442082709,27.860700453244778,29.161153405129095,27.582860946342837,26.530121037163067,25.972433185779867,23.01955491373109,27.81595065332351,29.22312947870368,30.511452326952565,31.273348263827554,27.709669246245586,33.17045741659982,36.12039712281128,33.78457153610926,34.96501589950453,33.679428177876034,38.24891694872438,37.830094002530636,39.753347655764465,40.65150079095176,38.74323843368857,39.17973726763671,37.34547811525321,37.80461108218302,38.932478499423624,34.54030532959601,35.485694347260264,33.72113621061427,30.548509170687655,33.86165225542636,30.603050831745552,27.58365806807813,31.03348526725889,32.53656223562098,27.944242906881204,28.11022777665393,31.87446912762945,31.276114077808927,26.973368628741543,29.72701869904156,31.872362239589542,27.896584732807977,27.569812613893095,32.23551921085562,32.565923262463066,36.34963740822681,38.31019223657179,36.90236031712304,39.25966650241437,43.56583359003015,47.04916925061577,48.07923822465537,46.621935989236306,45.14830212836426,46.30825516891995,42.683543252595356,47.02594895821427,47.548868281787065,41.518881468707654,42.84628447369106,47.38899675168784,44.51653733551985,41.403047536050416,43.92049887017448,46.14284762526465,42.51501073101533,39.75996774877093,36.83505028502992,36.22767799088816,38.99533341289454,37.92801711881442,37.83840502486706,39.70267560630228,35.60279392615497,33.93330712915376,36.11009742743814,34.28777196266227,29.943141790420515,31.484067935413698,32.42361466220185,29.707016710841287,29.079867707661144,33.989807080436435,33.21424973614725,29.390029679959394,33.017961390129074,36.715264688466334,36.69125307607952,38.58231533683415,36.91511770437548,41.189842253067006,41.14849890106079,36.11847825653119,38.96805091955004,41.97432775947519,39.586912180241235,37.755157240264836,43.682628479212056,44.07633056407,39.2320956100066,40.62518314556113,45.87613292533548,45.13133696060998,41.599689466758434,37.536220884825305,42.42573483022728,39.20631675360887,39.1662217040305,34.026084421747626,32.05120927665157,27.606548361305325,29.376773450572134,30.15951660555801,33.57441714984167,32.61757547089228,32.486023488488605,27.02530165448715,28.24298233027529,23.43270767616084,22.89605291105692,22.71951689320818,24.396413947565883,19.936348017919695,19.24313549457021,21.766192048535864,19.47759600004944,15.061010327988718,16.51613022954073,18.13261572582985,16.19374249792214,13.79352832000523,12.454012277220087,13.604586741291085],[26.941126138017985,26.67349939589718,26.939896080111353,22.88525994403114,24.511343204785447,18.780370654018956,17.172977298874606,16.22483507776669,11.581999880549693,11.874385405851148,9.593553738264175,11.059979591974917,14.678674411093128,12.104668559983164,13.894384377760403,16.66948111151313,18.554272380579288,21.665889786477,25.494463386528274,28.096992701237248,31.390331468309743,35.60519542934217,36.811547445881764,37.557041539815856,35.076323387434094,30.83710852712887,29.016970740212923,24.81582287298305,23.29752784442373,21.6989655181449,20.698390982135685,21.177214603052672,22.32060352565828,26.19166599923076,26.119215528749216,25.939381570806113,26.266724046068244,29.09757109670156,30.71341758593516,36.72281081849084,35.21454823120416,34.16984448824643,37.94853542848529,39.87869154825784,42.13593659505774,43.538053127963366,46.82537201169535,44.628208237290295,43.24380243333661,47.65030122187289,46.76769907394092,46.705805931616716,45.96536497332035,41.13159116133711,42.49607201903157,46.11699190320651,43.09608673608444,39.6263322378644,43.76368554938918,45.8894155524907,40.83939621814774,40.126198380138035,36.778998306519135,38.63098053164904,38.31618277319619,34.43368032676083,30.897377275059917,26.899221639101455,24.820277922375038,20.675882210662618,21.006428331884667,22.125528061633315,22.681724410313162,27.38215212434534,25.773337123495487,31.23377632293521,31.924164395751685,33.32287520389984,33.932033726191484,36.65522322562374,35.12032695659976,36.61135143413305,33.4696721139192,36.89963377330003,35.90859586586121,31.886030209293498,32.41877791382318,31.175800232374495,30.190767141082386,30.44493715514158,27.520047022011195,28.658146193199396,24.715772914142555,22.185995493643723,18.201953126901365,16.440287262591827,12.869558954621812,16.82106495658787,15.54723039968953,17.71894012051684,21.066910569190632,23.178971588074766,25.580536918372808,26.565439857198736,31.76746073577897,29.29925879283089,32.87213581376501,34.72246334875728,32.02811126618883,29.088171253105227,25.72471542057307,24.400737849909657,19.830862079687872,21.151449032810966,18.00734186275803,20.41562698990811,21.243422678559046,24.771389163466207,24.77461929722313,20.88094952881259,19.10282276752514,16.576501355402016,19.252967034662305,17.966948739575663,16.99508642085176,22.26593079356957,22.396365361524705,25.643289229683834,28.74195363001843,32.06902478254289,34.78509327173123,37.845921203452015,38.87962041162929,37.516133424957076,35.27591880711756,30.912152422907766,31.12217786965553,29.31323752652822,28.05131624722796,27.50243921505125,28.352748359972452,31.683284855565464,28.96319997992204,26.71345148793595,28.900691873013443,25.639449833144713,23.890974658678463,21.47418626261904,21.928782376157994,18.217760554059062,20.42203140298621,16.573117263681915,20.451885106776352,17.88786900053905,16.13719025945727,18.514379029124566,17.44685108079653,21.06815497124276,20.824043041958166,24.702069660148478,26.852401239256142,26.81090945612642,28.83645862923352,31.81149929385352,35.18171807070796,34.96346690704796,38.51695107670964,41.58480469589823,41.20566046029742,37.30963881209383,36.92829871494246,32.59426297904625,33.73511225214961,32.13716970728309,30.852410542060447,30.241593886838263,26.86687803126181,31.586836766683863,33.19741841553202,34.74127085704358,35.703973690779755,32.481675725693584,38.004764126992065,40.95729934778352,38.61132508484199,39.4162581995816,37.80089749986143,42.39813746532319,42.01007946647837,44.24238218198075,45.30338462042276,43.52463522348917,44.13485009521843,42.41291832258834,42.95596702054562,44.138172724573785,39.75168491361117,40.7047903389593,38.886853363641016,35.693770241833306,38.87235989293936,35.507970563255356,32.58716342934474,35.935537544205374,37.25991112683788,32.57710298214075,32.75532699561054,36.383672576817766,35.531782035896946,31.148043625307526,33.799733703602385,35.729938070623355,31.543286985004507,31.162529483923255,35.75278344006799,36.40525047521931,40.04885081459778,42.42943207014158,41.1800165291201,43.388696553309465,47.88871455311189,51.143453704557636,52.43778415653276,51.03567405436027,49.75837101751585,50.9796624887601,47.43777159540368,51.8815473104461,52.3793849402873,46.42094918929688,47.83314040850656,52.419463849660374,49.53175694482475,46.490468024619084,49.074519134912784,51.254642508999304,47.57585009425085,44.950281259032934,41.93816404975277,41.368234437120556,44.05619708293447,42.81159440603968,42.62296309030827,44.22598453693447,40.1530019166644,38.70700343265849,40.57416745280542,38.536770229273536,34.41833986417264,35.931045549307804,36.45676959440602,33.57978207094851,33.15283978757237,37.90934549158027,36.75725930248699,32.84470121162369,36.68827088654826,40.356934214439214,40.64348338505782,42.714255717304056,41.30687734236504,45.65905167430521,45.430048149037844,40.558062193417896,43.63577820160487,46.55091946549931,44.095432340197966,42.535121613644364,48.47238045081276,48.69869686417283,43.907366540682474,45.52836568701695,50.701604409532926,49.78900509919214,46.25590414153444,42.07325554885505,46.84886417865712,43.43579683747835,43.26612342596904,38.12757750579843,36.37173594225072,31.7793879917056,33.437917004799274,34.54973272994984,38.03541268386446,37.339870813901,37.32485030769973,31.978449893676885,33.373513939232346,28.59123634035239,27.73121930607042,27.598307180843026,28.974648835268415,24.446071739761532,23.997052981684078,25.980031377760433,23.379839921029635,19.62699864320169,20.323081354246586,21.3466783990357,19.448124795093598,17.03173481809425,15.423223511659002,15.81493156907686],[26.049659882522064,25.975098988851286,26.68639366208505,22.453217101279343,24.83555771994023,19.213518475522186,18.164069094849754,17.947785091855376,13.275937245846581,13.828214534911556,12.21049402832195,14.15626555715219,17.35154364475663,14.299910553883814,16.713348121346794,19.61084359399679,20.97324212288423,24.118329914327287,27.521586047242923,30.44982637066066,33.57710629278258,37.91227443004672,38.88563780525872,39.385870305262735,37.06512031659239,32.712007611810606,31.112344991360057,26.872366562572694,25.798210219778355,24.54538621290586,23.692233379094862,24.41412197361599,25.69328830860902,29.461483682829364,29.312682321770232,28.875717656724714,29.286019808520358,31.73323186498874,33.145805284006144,39.25260175339399,37.410659339780715,36.50829261803463,40.43888516782599,42.14207633706156,44.21509715468475,45.431957674116155,48.81639207264269,46.86048148534911,45.33174149657627,49.80086248068123,49.17935121478797,49.212402141311806,48.620171331598485,43.70734558342754,45.37129638214839,48.89465292210141,45.70359128801098,42.44126492854462,46.6539980126526,48.538728793399386,43.427653800776326,42.82700984377891,39.598199831164884,41.17446307782914,40.77678411108724,37.02923458843777,33.21018563728031,29.40102652454829,26.884549022380575,22.90358658281508,22.801302297988137,23.69136078588516,24.812911595639267,29.53097405882301,28.3754367055845,33.94337225062472,34.73937518111488,36.34719993384836,36.96891547610469,39.62354835201873,38.197304052681076,39.5389760550991,36.511754189626885,39.79688248320017,38.59133102459872,34.69657228738418,35.22477504738011,34.27065277900609,33.11081705394215,33.62167627428423,30.539088882375893,31.59022043694956,27.705874428125757,25.366891733456203,21.38446007702036,19.57637969541793,16.01416095515409,20.225189589158223,18.927591793064966,20.995934542161176,24.38710397264921,26.216101465169785,28.658739604184465,29.30510420218707,34.31866211820678,31.53428390118548,35.05546336483773,36.603391358914095,33.61037356471052,30.97736420242529,27.27390015032244,26.21319499811314,21.563658067106108,22.764487205110786,19.810871156051274,21.805324284322715,22.894247888366024,25.943181870972474,26.240648984893394,22.749060662316495,20.543062221134722,18.01263310727812,20.106073081428374,18.918036991750796,17.960202588265073,23.33755037328035,23.458597609767846,27.005472334940613,30.17051452658745,33.872191648235614,36.09504856193167,39.403636947211375,40.43843267564859,39.443063069858674,36.844114899740816,32.538876127245636,32.175632932968085,30.470780618703404,29.03483339663317,28.844400993379647,29.25141990375533,32.73251872165744,30.34652124157762,28.2228809749606,30.720636233339537,27.800148714200034,25.84914972425494,23.753495828392126,24.228245018902005,20.47524422088903,22.686400228605088,18.992705463859366,23.026799578847786,20.21515128785772,19.03236047857947,21.51833898316093,20.42924318094173,23.812475403208364,23.698846860526253,27.1734040039596,29.038875527017407,29.255909143660144,30.743455225308637,34.03308097978651,37.017676077295185,36.33429120984886,40.106074336070655,42.940210885994425,42.5038454370313,38.51330243858074,38.4013148090307,34.11409771787944,35.68339447463368,34.346208649325334,33.34709502205859,32.93394160524746,29.733946302143273,34.5771920743078,35.98169244979413,37.45428159906182,38.111911181024624,34.75771496847995,40.161909501412815,43.01756522118197,40.53605873149505,41.58348402087487,40.00595589454329,44.557722926176325,43.796232335737734,46.08504071036102,46.94990468039013,45.31643314205415,45.698634059115726,43.892831035578084,44.39942200050257,45.397495144640736,40.860325913011415,41.89631326188134,39.82446182622386,36.87073225235254,39.90413058604762,36.71375808361539,33.6331753244428,36.59098717018945,38.025633762253946,33.29461667395895,32.9601443387197,36.65142313423812,36.0514298647959,31.26900828614278,33.65069407808971,35.65200404748053,31.480617312926604,30.648083759777478,35.16669162434213,35.88302886415721,39.68539318439485,41.987981782657954,41.07678999653712,43.35462263515786,48.03928936936305,51.19084024721654,52.72627380439002,51.64529129380958,50.53546885674477,52.004690728131216,48.6671144713066,53.12253306374769,53.32976660386519,47.340405509083716,49.02568343247871,53.451500169986204,50.32530382664784,47.43891292887992,50.19705614415495,52.01452268876624,48.17123722806477,45.88063919447762,42.76995747645975,42.70439808164636,45.433910153939244,44.117497246323516,44.23433710104249,45.84849338012291,41.97704637222901,40.24223908900615,41.93335787639132,40.151443925771275,35.95632690571745,37.06299078644038,37.61586319172997,34.72233049608075,33.96102493232326,38.68475582487663,37.51490217662687,33.34307661495677,37.00918318087834,40.769866475904664,41.040809134033076,43.39737092506709,42.22271579469233,46.555452992950926,45.969309298314215,41.04686425227007,44.390473741876406,47.036497693940845,44.38388171781053,43.015101294268185,48.99490914119518,48.85953562723228,44.00841341705554,45.91440197438975,50.98081089345619,49.74836707073681,46.1515893998758,41.80805572093377,46.383959723455355,42.737012355135576,42.5922839924996,37.42757170020805,36.038707244300355,31.370329520268513,32.6900076538322,34.09347078314862,37.5881249944974,37.22231419032,37.51653857853739,32.368852893470795,34.184387673421696,29.44315893258793,28.391612280059192,28.75948827754099,30.148703544298503,25.909739906683402,24.942887473056782,26.594440166170255,24.30413313207165,20.70382995797221,20.48708953682202,21.822887837960792,20.439587770907536,18.35399478825228,17.0030022015855,17.683284210358178],[21.714160936625138,21.866534492790514,22.983263029366558,19.303727718055757,21.911494216074473,16.000170753106993,15.810185777392222,15.499811257971205,11.435106804589724,13.642041530234344,12.786971745117185,13.967866863555292,17.72470326608327,15.66913235084727,18.56482426463419,20.92108191204808,22.380768894379376,26.123364578770293,29.877714191621212,32.38149053203853,35.86529688825583,39.96459257197333,41.23275600349062,41.63903242152595,38.955481490898926,34.713605211646936,32.62538746195336,28.269836171759184,27.155809474910303,25.430702729278014,25.634067076324122,25.275072611253506,26.86813418290202,31.0779257390718,30.57130395969525,30.348883463074127,29.98842389638431,32.7781719995801,33.93669396062127,39.78692994980559,38.37673077270043,37.98631752046025,41.826268830625345,43.45471110969439,45.77670964597842,46.80373778785744,50.257614465419,48.178774651123874,46.27271577488123,50.57876910981856,50.02111234927658,49.763072042495764,49.35425254244759,44.4160694653272,46.12093898635119,49.99034765768774,47.02341970454476,43.77201700185397,48.081511974272274,50.14796738102797,45.29173206857396,45.00895168106994,41.780101555677746,43.81004993112025,43.124523063737776,39.12113502250642,35.84810732295209,31.88776414822076,29.808283058890666,25.892599839042433,26.07750259544829,27.467073771053325,28.257469841507515,32.83160787928764,31.185454543832623,36.79680267384125,37.05608504049117,38.53311316842525,38.761261928337504,41.17312087377467,39.18596045298766,40.18331213407108,36.665456056873815,39.692662346096625,38.65502396062441,35.071976781011,36.254025667379246,35.13883564183139,34.70979493228545,35.29138928428538,32.68478689708112,34.209821697930835,30.25362431029275,27.520534222024047,23.34757599184174,21.953770107479283,18.19441271406416,21.293496377466525,19.183316537350354,20.160170072211436,24.19085685905651,24.87243111551044,28.01278770833683,27.765343014357413,32.812834227549786,29.668575925570032,32.74490418804312,34.17187235887609,30.884748939248535,28.404422321810493,24.62934056520591,24.420976172686643,19.92141620579156,21.916366034217372,19.956069612615504,22.26289875270762,24.073240195624187,27.626135485956002,28.51514288790895,24.86269148532372,22.708937424914428,19.677077498998155,21.216646484790733,19.22535833272857,17.27056522883138,22.30701428845645,21.248336395757637,25.18595062919546,28.063158944583915,31.881827861323234,33.81642863673864,37.014358941155564,38.517770412672526,37.620045926359616,35.24125469763683,31.182337005977267,30.383408735905448,29.38661589438455,28.4614779885863,28.69909909369471,29.752754605677545,33.66997915711223,31.537669142736746,29.008902481169898,31.629275976527712,28.4972094125587,26.22489455323377,23.72478584870791,23.45016313017649,19.277466877023844,20.639751718876298,16.769554319591546,20.53824934354573,17.266235515420913,17.17285101205517,19.96568832569388,19.40816282818219,22.271608979453863,23.11924938771769,25.913448753054848,28.315727136571848,29.340694216502442,30.79615252260825,34.24418979501575,37.239775195804604,36.32537463795889,39.83941152531233,42.78489689448413,41.87077460132286,37.90264228870937,37.634133434922944,33.55889763110942,35.30828263799993,33.82864225550616,32.93663144944856,32.19294827168781,29.485179996114578,34.0009543307929,35.67692160434021,36.73425631554708,37.578683727782405,33.55297515106637,38.93254894491343,41.90564894232858,39.60348158968472,41.25522040301201,40.19087693435491,44.71315047389163,44.06613900388963,45.84988554270268,46.464605945949096,44.532038438510455,44.56444552940739,42.444976371660964,42.6106467729573,43.26155640523184,38.61069050061306,39.277852004548144,36.87204147488574,33.83595486879018,36.454566626962276,33.16573678155024,30.230434862130345,32.98013319512726,34.11651122064311,29.32555171103844,29.173703211028126,32.584025910582696,31.720384888199355,26.976769588061412,29.36147844023604,31.14832469619956,26.888145795472735,26.2319910429126,30.705563047143375,31.62763774871367,35.17827429466547,37.90500684294855,36.90018927771319,38.98347435775762,43.74546819843249,46.74592923869795,48.41664298017506,47.36236478172068,46.44050895691597,48.024272992043706,44.87222391795746,49.44117934492129,49.50480154874995,43.634966017944315,45.535049383082345,49.98272572403506,46.82924484678802,44.12620765678405,47.11892517026689,48.84156384522205,44.94526038929246,43.08027266646813,39.56472348573004,39.69833063074426,42.21677100712842,40.54337557865965,40.77263507008768,42.144586947695316,38.52203981041301,36.724973753052346,38.00078670131685,36.30579172932506,32.21028502951431,33.018406931325266,33.36716731895517,30.42950439296335,29.59742478063338,34.216547210845974,32.940950757327684,28.691202013415744,32.368075794709576,36.116099833301774,36.50112463985325,38.97467892074958,38.01979416362571,42.381791472537,41.604396447578814,36.82595350402391,40.37625757130914,42.919409692830335,40.25134682116515,39.1907784320078,45.139011028248234,44.91660902098959,40.23875920601799,42.38372169261451,47.31836785336843,46.059351319543545,42.58902821881357,38.26743450156489,42.90232487281272,39.34761527102397,38.80655903881022,33.78093396216286,32.20736997262124,27.47939126438074,29.190880871519116,30.735637136909283,34.385269795336,34.132317151441285,34.12947803215394,29.18151470353522,31.204967031933617,26.686635074149855,24.776650100565757,25.251131881807147,26.296560418566592,22.272384621181853,21.285743381664474,22.348237893804132,20.02826753474933,17.008592235358915,16.113649454641706,17.216761551120936,16.114191143300246,14.374861109544868,13.310972865803766,14.407209567824268],[23.634051842228004,24.35637333616727,26.135359740267358,23.00260549243776,25.78056565316872,19.748530266861305,19.910371136643818,19.041886261195156,15.34222657202686,17.76347256793748,16.362114115588792,16.748968088111432,21.281102815232842,19.49728901522311,21.62464786530609,24.0011129569124,26.055485585801293,29.54152242295512,33.5032171551943,35.937605956329264,39.39930543672593,43.509944817141495,44.835304633168526,45.475669152074104,42.842838612828885,38.62664830572814,36.55752449057539,32.253368364604746,30.771353799052438,28.735002805540276,28.284514808606424,27.836425477051566,28.791258911590152,33.080531403215275,33.088476287795125,33.33824737289837,33.026768105646426,36.31951522480221,37.73823091002297,43.51178894798114,42.36472045017516,41.73091065704319,45.44362249753235,47.31548828567434,49.71520526849301,50.91962572639617,54.2889369470559,52.06191376379273,50.344109865941284,54.62233767880215,53.82966580580666,53.502429595788655,52.90903379504168,48.071903622741516,49.36553604647319,53.31576777750879,50.52271300544874,46.982844916201564,51.12294868025203,53.486122402006636,48.60332100940364,47.96192249250899,44.52132442934398,46.64113699529911,46.319405486680495,42.304741431656765,39.01645264828823,34.941654165393146,33.01378163298364,28.86267309854524,29.197121792706465,30.198649378404532,30.804549872083715,35.54473218879337,33.76994983599219,39.03540607048942,39.706833540076836,40.76681546122209,41.327142240951154,44.02760583113875,42.031197190611934,43.36532279277727,39.64648621065333,42.89680338488954,42.19434889913503,38.45421636512362,39.57255712457983,37.98730459590101,37.656214629916306,37.569803133214066,35.028684863535894,36.13421914254476,32.12067683470018,29.23571045370392,25.47777489375522,23.5534146604202,20.32628276936824,23.203378794158155,21.25667026914776,21.48573469142037,26.329123729226577,27.08067852944609,30.68904436453147,30.600718859390504,36.00927822190897,33.061042543168455,35.85780446459118,37.535939484956565,34.28787944646028,31.651210573223963,28.149492175176352,28.270073887635437,23.905320423294285,26.207935683170334,24.226133357137833,26.720836764954505,28.32641338670938,31.94279453303777,32.50865092900098,28.704091927809085,26.734263350563847,23.864809196649073,25.724228214383018,23.810438579577607,21.832800761666658,26.78953278063314,25.34469374660105,29.307732416675762,32.001925310842324,35.61971954211751,37.7043400255298,40.6742242581947,42.45001362194163,41.340288521009185,39.32019674514122,35.32526383581775,34.625947271030334,33.82003598782927,33.0338629936327,33.198879133548786,34.362535797730544,38.210129743529976,35.928595741868165,33.40903497409519,35.86982766361813,32.53541311725939,30.420126022324993,27.672878037654133,27.257230860152518,22.982021451173615,23.853817525114344,19.49547706620479,22.422437840598803,18.15447324227416,18.343693936876043,21.85608481167347,22.044874727476007,25.072553637085374,26.24279852040249,29.353289823077667,32.24409022111209,33.15053780480379,35.03267550861272,38.2635381651957,41.52935184717595,40.82913393547662,44.23564033566046,47.28890649830397,46.33783634351959,42.40727736343924,42.00906572184273,37.94905380490272,39.48550844384268,37.783333111063335,36.632872051270496,35.55165926210013,32.719721198511785,36.906920793593024,39.02369590577909,40.06912883246147,41.34142939740035,37.24286224438502,42.725529273609695,45.82436767925302,43.68187309984127,45.277441462998915,44.22611223211383,48.78318059618549,48.38653731205842,50.11159943918332,50.80070770853644,48.731748444796445,48.79793044793805,46.619208607908945,46.662833973062114,47.22570871764449,42.5885400872133,42.986728457752726,40.44805673546322,37.241337020935845,39.510172363146594,35.99643319884667,33.366453459294114,36.04723079989222,36.731926550837336,31.912226490637668,32.165775369346996,35.14735091341623,33.71922584342221,29.243360131977198,31.594661992476865,32.90628154296811,28.462548414749758,28.137505214460734,32.38004191429505,33.75809420469854,36.8040351959782,40.29381367681655,39.24857904262059,40.96024237588702,45.838380461955424,48.48521307325113,50.422441694202206,49.309430632350725,48.667438157115306,50.27175044490403,47.267051051427856,51.98982381544955,52.058086617351194,46.40164677847124,48.397929734919806,52.957778776555394,49.896137189722545,47.33598336783761,50.4592840082825,52.235517036401944,48.34918986499571,46.75052874532611,42.94807180387389,43.00729016556026,45.273314543861126,43.22110655313901,43.28015858231357,44.19698851893893,40.71156726823405,39.248932971224654,39.98936830157864,38.027208349320446,34.32243043188739,35.086460951475,34.83095022315743,31.75065316690678,31.27408436652866,35.57090514034915,33.82571300090614,29.650475983187523,33.58026405573275,37.16295167951405,37.98716756233159,40.56844945107824,39.95556488311044,44.38075439024911,43.44032536273736,39.02611318694794,42.79015512701147,45.26527187648374,42.639650281671074,42.000696534831704,47.85834605007838,47.56957170980608,43.14873369203701,45.53608401644972,50.30737332207784,49.011739208377556,45.692299617607475,41.390495051905475,45.98163871211923,42.43907701327463,41.48036064054429,36.658584605127686,35.04434636290548,30.279995516220506,32.257106400549205,34.050269821106305,37.80035213163377,37.72671849289222,37.495762299876766,32.75755051688869,34.83608447289771,30.50340403474687,27.91718291213163,28.213861450514138,28.724746989430862,24.71155516749296,24.251460545196373,24.570677024616078,21.831244091317554,19.860508971133953,18.465810251311158,18.48815471370634,17.395206411646928,15.835989205246255,14.606316961158063,15.067480835240387],[22.440571730866356,23.695533944489178,26.07039590981704,24.004196750232055,26.69501311888758,20.68895906878657,21.588943342750543,20.1927832446706,17.555398952589908,20.918202121586294,19.73866696127222,19.12948021419055,24.193642010075532,23.336604668597072,25.246178750134046,27.156000303370902,29.591588264117185,33.27808625842544,37.609633226688146,39.61052972262414,43.319165906800905,47.19647043957905,48.817222850236334,49.56076963213179,46.66518718070049,42.604694156359145,40.16499961358684,35.87397304829187,34.11484087455482,31.55703817390855,31.529413092435977,30.19661768027926,30.989250354432755,35.566996725725815,35.587580190048634,36.301336554572906,35.41528961396884,39.25923451606488,40.646616624143675,46.0706085990803,45.49950245259906,45.09807257926388,48.59767184857387,50.58106773270514,53.24225789721374,54.434340701154774,57.76821984362702,55.31557863929329,53.45486698372789,57.53782127770233,56.603247182818365,55.97956895870381,55.395795768264115,50.664179154123396,51.668608394871626,55.93109700360378,53.48322699948003,49.776061042894916,53.83927796826604,56.55233397635202,51.91172791885032,51.30571544720419,47.75608207369508,50.321268662745894,49.988856527354955,45.777792885770474,42.985220492523794,38.748198821219106,37.312258986159904,33.11522549630968,33.781674343996045,34.980131481081536,35.17137379787773,39.83680251248281,37.577405047950236,42.61236006694048,43.05502141603155,43.73402361070376,44.15141112543598,46.79629732790161,44.349057801820756,45.610920204066495,41.41288015716065,44.557887089207,44.25340278972545,40.70723324222463,42.28708549664209,40.27694311901922,40.61630993266586,40.17205584732634,38.11623770465753,39.368419642891844,35.3339270040751,32.10711114456021,28.534466506396942,26.734731107171616,23.759022511502128,25.540404943372327,23.171770590120296,22.03596658404522,27.647679760387675,27.486325900871176,31.83473735094778,31.1677561926812,36.718056603406325,33.750590705669424,35.91267997049872,37.69216987303505,34.38164488231259,31.77067629742759,28.613851136999017,29.58081964307986,25.633236603991108,28.63327062819976,27.37447619127556,30.18207697305231,32.082520808314804,36.114905801047,36.85773339047613,32.83893842252952,31.094709863632126,28.033039578632412,29.767693854652325,27.40656522738127,24.839345297953386,29.292778683679956,26.791949722564063,30.839701847891746,33.08097879683814,36.4661882839932,38.488951819603,41.0831698548132,43.39825849845461,42.1565853683491,40.68067373552736,36.99635235901745,36.1775860341049,36.03297531030969,35.77221062371477,36.11878712563066,37.89468245759693,41.937895238685904,39.7063771031075,36.90847106864011,39.26768014600641,35.654261953884244,33.4785818923001,30.31399963494448,29.26828853356717,24.820525653569952,24.656430335895415,20.097004340606944,21.92684742368862,16.830255727355688,18.184751675964872,22.17103970213888,23.289777530489065,25.857948579447648,27.93034437392443,30.645559852867745,34.230132097434975,35.611909134707886,37.788466240523285,40.887593679790875,44.35693087359989,43.724039402009794,46.770578456135404,49.998946536956474,48.67531311438175,44.86035900234867,44.19819681267955,40.3674337048224,41.788064668112376,39.81183243701242,38.55101287073984,36.97959745107878,34.50871661142783,38.09292154106323,40.70299191776107,41.39499798126952,43.12944727455815,38.551774082342135,43.99881900118691,47.24831785270249,45.41810712288599,47.384200722227355,46.75456353039841,51.26603579940644,51.203054347661876,52.460360377725394,53.036748135156785,50.62688186945986,50.48827213374093,48.06672300550092,47.76098956368273,48.020566013916245,43.41399690120163,43.29186624600591,40.500315444573864,37.10556504059211,38.75451466998551,35.01912873931406,32.860958354368194,35.35407378501892,35.38612880117809,30.63598926993946,31.519768051027228,33.823150111761024,31.66485458995341,27.713326408012367,30.063935879991252,30.7361500770287,26.18346221103406,26.489493443387218,30.399997285961867,32.261870215526365,34.5486663073699,38.97003937332708,37.70379897009603,38.89842746693382,43.7941905662471,46.03759974523029,48.19252615990199,46.962870707809365,46.65400734828341,48.278497822454376,45.52622384109825,50.39975807058103,50.431867324253226,45.12117914245752,47.265773768768916,51.91568132653409,49.007924367771295,46.69753980289134,50.020110093069285,51.84052458327168,48.01772418502481,46.888892253001195,42.632779831629726,42.66246371522023,44.51407454381296,41.92704184850601,41.87404701992594,42.21540505558218,39.06477194483128,37.90254026905616,37.894941405136244,35.77333797234432,32.571241341734535,33.122131633423066,32.19308477601922,29.033415560068562,28.8991527508711,32.74140266291075,30.5487482597183,26.545338740435053,30.66837160402631,34.00224619535507,35.27996043865776,37.91421291988108,37.70665485007494,42.14248218843311,41.03317639049463,37.122418971388356,41.08088548525108,43.46220536157158,40.963185245492625,40.8592683920729,46.51584021690217,46.22848529295902,42.23691352900879,44.87180688279117,49.37967514771492,48.16142740985754,45.12934752878686,40.991481908216095,45.595490567690575,42.28608342208204,40.69584082780085,36.25338478757181,34.3519313999418,29.680628122799543,32.25176436988897,34.18013301360275,38.03381925293777,38.06643180133115,37.32655408197629,32.96791634726838,35.073242283662964,31.174534285873026,27.539203162644537,27.635610952222038,27.401754717583415,23.703223075081713,23.798141758837243,23.07527392695057,20.008521771013047,19.54264026830916,17.544932121079473,16.237051394972955,15.363166033064102,14.425899507066655,13.410482155567859,13.687282078619663],[22.63220774555131,24.17878505219266,27.110790679687483,24.819139880827155,28.332897689509828,22.61242428902393,23.879357692712,23.280208461621452,20.328591144161376,23.44302178666404,22.490850366121045,22.618727473439296,27.252089942037557,25.70207727351207,28.048694835600557,30.283209212608917,32.28698882860425,35.93954180794602,39.87997288485546,42.28986714161782,45.80611419584872,49.881360967301376,51.22441132363763,51.75034504048086,49.06651794795239,44.84884838583266,42.69639381449663,38.35052215189734,36.98371523825352,34.83144717593013,34.681346002559344,33.87109719603033,34.782667436601294,39.21375619394844,39.22195723727096,39.610249237570095,39.001676580778714,42.41332613371146,43.67394838591597,49.311137345043925,48.29153675901946,47.91847931852426,51.62177944811719,53.40265817879546,55.83967961951836,56.88594238729642,60.32018021646032,58.132706551802784,56.1909905173842,60.393943521098656,59.71953301671012,59.260830504840946,58.79141610113827,53.94886690846191,55.27590878008249,59.38092466932438,56.68174968319961,53.16377646946708,57.32074971964704,59.75379231138258,54.958926334930716,54.39756681695604,50.94076176410749,53.15083107589886,52.78876532433043,48.72951641609466,45.51868329682645,41.44125116424089,39.50181365734741,35.3810671998427,35.64314305912154,36.57474346978311,37.301265658072694,42.05829574671374,40.287383616763,45.49214873889876,46.15307765533974,47.09602424570813,47.61518895136923,50.27071196989035,48.052827803616886,49.249568502376086,45.27091481465548,48.35428112595117,47.76111709739665,44.23523568503149,45.65956368919006,43.97934024745202,43.94856488745316,43.76890768147825,41.39492590787149,42.4871583480191,38.46184728487153,35.46638418145995,31.808588036592354,29.848919174777762,26.746091010642267,29.238336205864673,27.048962675768397,26.421251246334712,31.774544986988907,31.758250660135147,35.888351189589194,35.150267439989264,40.489566381429235,37.25705670136834,39.515938330147335,40.96510392217003,37.39221740266498,35.10869428974714,31.579077723368112,32.5716843693026,28.472087978135278,31.151461110824975,29.80855355513527,32.214004497291924,34.20850419971055,37.751471282458866,38.64639153870013,34.96836225427705,32.85125142943128,29.85741664480842,31.227756536623776,29.08575115908595,26.717425554727484,31.333039277592214,29.094857117116263,33.35602321144438,35.74267516760722,39.518989511804065,41.048028573616556,43.95356264374255,46.15358274949025,45.311543956542806,43.37223494249263,39.687858764690674,38.34393672603018,38.16554007030398,37.62995295286302,38.25036254276936,39.479051920330264,43.58961526749434,41.6299347499917,39.01766727163258,41.65803750248061,38.383360902043336,36.06828561222295,33.268817649188534,32.450242646725115,28.035131022348086,28.22046514453268,23.916489463693217,26.19270509011647,21.299575829470875,22.65281880823754,26.48455842452628,27.233252539668158,29.795064274948086,31.638951098664748,34.19195274436374,37.334140358389746,38.773599692556644,40.44116694576975,43.8428565541684,46.93765612812293,45.87247156614706,49.20488719112691,52.167672632651986,50.871679317657836,46.94950363767614,46.60641451133063,42.77407952196338,44.60620535339593,42.927235721749895,41.93265080170747,40.664112879379445,38.20348912702489,42.08502129504543,44.39350639697277,45.13331270065707,46.48561387733684,41.92050496452358,47.264277178977515,50.384648957049976,48.355413423268004,50.45120379358551,49.73933303717893,54.23277917602646,53.7468366040833,55.173114334251494,55.58784791036393,53.3956438329437,53.077782179005,50.62658204118273,50.351129943011905,50.46765637359075,45.71911119645285,45.773629978046266,42.757901716669004,39.695051660460145,41.25123604581697,37.79614942709258,35.41282259152718,37.43299230635168,37.67470651679394,32.93629923249818,33.087882193315146,35.48945689761787,33.763009123261654,29.310578210768902,31.22792384546504,32.010594734681455,27.582466061995035,27.17863369904844,30.897156789325987,32.83474148104074,35.32945982300057,39.57428743636326,38.815537362844154,40.111421721889265,45.215708010877606,47.30337728802601,49.77231666782592,48.995770384984354,48.886957761516705,50.811976887113175,48.312301228324365,53.1435178766069,52.82041152763742,47.482495787352484,49.92278416493721,54.33519131826529,51.14072869745228,49.007815284236166,52.490075405321505,53.85988685731831,49.854199691911795,49.07615701545621,44.797051789522406,45.4122814394682,47.35875980152783,44.785008929962025,45.10150554837668,45.530466056248656,42.596849619299334,41.07671507927578,40.96524120863989,39.198370070098164,35.88615159374188,35.973999477828286,35.17305421389253,32.07140925681504,31.47031829094377,35.22295640681044,33.08136276239347,28.802381747895904,32.55590044076651,35.967382665515885,37.184106688475524,40.17140944138942,40.24367618399289,44.595187302088085,43.03768092303122,39.077725230952716,43.31813312949009,45.329543801271555,42.584741745788264,42.6952371620414,48.36807804850801,47.60478245338442,43.544518852741,46.50642637026763,50.86087830955437,49.22263634116354,46.11449908199317,41.790732028895526,46.075721566883985,42.46404054004757,40.93545817510455,36.5021567197293,35.15379681029524,30.450288002736517,32.48524763002783,34.78329376543776,38.591425493064115,39.04668695138803,38.74973765490708,34.65551717542346,37.216144904481446,33.346168602238535,29.719505344948054,30.41927108381868,30.328750356288154,26.997889036777405,26.407493099349228,25.45794111211933,22.946975499164008,22.41642810517039,19.52432437524097,18.868973804171937,18.692464268464693,18.091234371132174,17.353695880487464,17.937351338130284],[24.123497905770762,26.032216535614854,29.297835451214258,27.68805005822262,31.031374348579597,25.364443876122344,26.87579618817498,25.845617010611758,23.391258381898584,26.818892332120175,25.75363054061606,25.289248572266427,30.302874121951692,29.21758586606788,31.213476953270746,33.244235086594294,35.60852188518725,39.25011426107683,43.44269506371504,45.61481378996453,49.240173630732265,53.20309707098136,54.71659951978546,55.395870104051696,52.599080283721236,48.468629975322266,46.14510911197641,41.82837040892613,40.18973832546874,37.70618176393502,37.51109534078153,36.29691230115322,36.91120355146869,41.45183702980989,41.645790196273104,42.40625325072638,41.57107810073185,45.400061877351405,46.75307809535633,52.19316973138529,51.547285643788776,51.172482268469146,54.71875120749194,56.65595978999557,59.25309808304383,60.37926194632484,63.756724764868835,61.390025193294385,59.4720259168671,63.571178405001966,62.71829816095265,62.09486478362645,61.54578650986622,56.80516053497627,57.82089621649943,62.091880901806555,59.63203857870993,55.923217401873615,59.96589667907878,62.68157784779404,57.99815816889112,57.31364819062892,53.73160589802397,56.190821910733575,55.96072987700383,51.80671592419618,48.83816097222759,44.64503492969398,43.008285902530744,38.78869304986856,39.275412454381396,40.19443899353078,40.629828472656335,45.390348005552845,43.334028051451966,48.289931641186016,48.97981546531526,49.58811547295087,50.157706724456816,52.88624036968743,50.46877094777379,51.763642858472245,47.51572476305129,50.631322398015186,50.35378936605546,46.85649147421636,48.44810561802664,46.4038601524039,46.70915614228602,46.12345907803997,44.01055795320503,45.024831809312474,40.99638444072764,37.81820539999989,34.411398757364495,32.36997723052814,29.570029892464913,31.499210320118543,29.233751905609317,27.846600356558792,33.65794806204246,33.313025068957565,37.84405544026008,36.961828990468504,42.44754602949377,39.34153636070897,41.21407254120571,42.81753737113143,39.305648656997896,36.96918734841112,33.765349812785665,35.156099016196436,31.304113143974522,34.3324755453509,33.22811983304599,35.85507806032512,37.86865999977963,41.65937067912401,42.48714673248581,38.627809267898286,36.69866745447807,33.672297481564804,35.1659459996332,32.864690511241584,30.280627229563382,34.67418458447832,31.94331908196156,36.16684073126622,38.28639547650304,41.8203556821818,43.42748058153789,46.03702258246302,48.554496978439,47.538598591252345,46.01322227468129,42.489054076870204,41.214610575570525,41.34891789417735,41.0900166243832,41.70598541652684,43.271219405059384,47.41948406479898,45.38346206131537,42.646231203532274,45.15556912936521,41.66713694268724,39.40537313760709,36.33853074159253,35.235994865178526,30.76632837776636,30.407046804443024,25.95108551947757,27.442442416419194,22.09295371116528,23.90506756635064,28.02064509476856,29.357394369708796,31.76574509449329,34.03102642204291,36.543074731235855,40.13248744403527,41.68753044417261,43.67155172211607,46.90230746528683,50.213912100973175,49.31125576045848,52.4258722842555,55.527690868157535,54.071308807914924,50.22928334185711,49.696195630006216,45.965117436616644,47.61810619879811,45.72392020910162,44.56693804729306,42.96500685700686,40.61187998204312,44.08332871487887,46.762297338591374,47.350549564385894,49.07778765743855,44.324714964400734,49.674677681492064,52.903043462228915,51.08833895356543,53.28523374349506,52.75356864624421,57.23747415152613,57.02896978817221,58.22598485455777,58.64426223270432,56.24099592475504,55.878244827511864,53.31935392562661,52.85445899483206,52.82949041990431,48.144637642897436,47.86225162466893,44.74305905212932,41.53487680992338,42.682375671131915,39.066824675720234,37.064051082080866,38.993847365586475,38.744777864552134,34.12145533055014,34.772563210558864,36.64515424852412,34.349968349753816,30.41242496626335,32.29611780281443,32.54113680501908,28.11303527082997,28.216502537193513,31.567881173521883,33.883275245437474,35.70808592703614,40.673715969273246,39.76279927167065,40.61784742497201,45.687613171518514,47.39849701221953,50.043876332885816,49.16140907836352,49.32321167787251,51.22145141789563,48.91223240142994,53.83127197597167,53.52613959812731,48.49746096506215,50.992739004926364,55.47402233767257,52.44269189300449,50.48315577265168,54.06132503879629,55.50620839477487,51.584042012539776,51.085763447569285,46.53988241784325,47.045841677069006,48.68262713703924,45.744934878963065,45.90416073021137,45.86566190987651,43.16846318611223,41.97405473573123,41.3093673248678,39.360578623697904,36.517509022354226,36.524839201743134,35.15792328509817,32.03592635592573,31.797861414490974,35.092433843656096,32.563219536584484,28.555822177905345,32.41996866562259,35.53542763924606,37.161961039485,40.143217544176586,40.54340430592225,44.863872716551164,43.20748741652063,39.71969147724681,44.05115122991764,45.99144110188907,43.38345111759089,43.89919618839259,49.369851511664976,48.62951739105041,44.931997643909206,48.038656616144934,52.1757624933969,50.61352628106406,47.74095584402668,43.570595939350326,47.8232343944118,44.39661061385284,42.4199709500329,38.318042183552606,36.793869059493076,32.22547030500247,34.6325531760983,36.997508156158695,40.83422667239977,41.34806642742702,40.701717813049676,36.873065808331845,39.37439959711304,35.78688751079148,31.578728223060253,32.05106830158831,31.439727432461194,28.31208471433847,28.213699660125727,26.622603766572194,23.880939474813275,24.340693385601412,21.30555409860099,19.702918401770315,19.58979256149427,19.344586410001092,18.6566135536294,18.897293171964478],[24.896955620328598,27.143362865584272,30.934595983870274,29.527398897496408,33.375470861453955,28.054648447812333,29.968894930723323,29.381693288597766,26.982591777752035,30.427880322640167,29.588697729870507,29.414337679686362,34.22271755218135,32.888411832913064,35.16499603906449,37.30045630553604,39.42524497507769,43.11127834159419,47.10647971533252,49.45958456184102,53.01341992479339,57.054786009834785,58.44081074907149,58.96731130636338,56.25160195527154,52.05106060449233,49.834791369762954,45.483879992166216,44.07825239026122,41.76426271202877,41.642073117308726,40.568431930435366,41.27553590336509,45.786439872782914,45.93428802976767,46.55176404615284,45.75394035249163,49.385500954166915,50.6157947817904,56.11227450143998,55.28220265727612,55.016515837578076,58.66130275061117,60.45901870417143,62.95685737313175,63.95005329041904,67.39886630978903,65.1815135734821,63.14034588829559,67.26867808066596,66.59504030271869,66.0107333731209,65.57134778464176,60.77040243385414,61.9781843728604,66.21728767397369,63.65729004738825,60.06555043709997,64.17066092798402,66.75510010846388,62.02993378120564,61.41771489209599,57.88790400792363,60.20493487366975,59.92128084305122,55.82331303113785,52.68687326665197,48.57368256699464,46.6972001804193,42.537603488730596,42.814238603269764,43.6182117220651,44.34146694794058,49.13434800426914,47.309220924702906,52.351612715838336,53.108778467258915,53.83683493596824,54.415121840704906,57.11396073929452,54.73451103405894,55.932541873763576,51.723111734539806,54.74050252208387,54.33943257677842,50.930254564301656,52.54596566122887,50.659425211314336,50.87665999912641,50.43579195362189,48.219366396654685,49.190587928989295,45.16527323238877,42.06971224829574,38.6145912600436,36.53352691558249,33.662980762558036,35.825624447414484,33.560950628753005,32.24640256793061,38.00560328038842,37.515127872799695,42.04829790158472,40.94056997686722,46.26413268136845,42.95305218444153,44.71221937964911,46.06336441560655,42.352699677732915,40.306871449873235,36.94006294837856,38.56444067741245,34.741837703505496,37.694269658806,36.73296300516995,39.13762927250251,41.30152349768258,44.83973780880934,45.845374703382504,42.19039084353381,40.051621914763935,37.024219132401434,38.20335348919621,35.948870279244055,33.3720678740839,37.70201117538913,34.90976655675821,39.267188206032166,41.350735965336874,45.097089184925984,46.2796909652072,49.00623484118103,51.57750835653155,50.85347812261312,49.12575188209079,45.716297053000076,44.0057065572301,44.30781174043695,43.99530793064905,44.87188000620066,46.19566147574304,50.44054244694971,48.64155206705339,45.96881411409903,48.65965890248634,45.36110676933499,42.976647604031456,40.08095260338069,38.97997265142331,34.51325728402317,34.157637991446514,29.88513807647078,31.456098773186703,26.167194688790723,28.212371442881167,32.267337978864994,33.52456159233935,35.793212087002324,38.108843598397094,40.368374340882895,43.78737946071821,45.52578008451744,47.18549638000169,50.61060710116159,53.67394376310607,52.44734169476572,55.66595193488185,58.59787993641887,57.04840563773508,53.1737784386302,52.81628695077589,49.17227081939068,51.11187625465477,49.38056703111496,48.41177889453028,46.918257334717985,44.69094821301491,48.2279051609232,50.790161864184874,51.306917956911114,52.849631664540325,47.97659824157841,53.21006939044677,56.366498783076544,54.49090632169824,56.905945836993624,56.44385872084621,60.890608123746375,60.43919837854612,61.618532321535284,61.864465958053636,59.53849200488144,58.96234914947676,56.312212238317755,55.76400922243272,55.525425903652575,50.765843400025645,50.4668347180322,47.112615409331426,44.152026339823216,45.01888586713115,41.613439029741095,39.597720886688215,41.05565667635708,40.776769675436675,36.26874328020914,36.50780915605801,38.199242073804626,36.075160157199214,31.99031648685691,33.45577431509405,33.56099073067836,29.3412212348914,29.057802172711106,31.998678161185538,34.50073733491701,36.17367875676642,41.23176459717103,40.7031759377543,41.443348875253555,46.624658990631545,48.02535324455896,50.998992464162555,50.49332403285585,50.945518406418046,53.09534250064418,51.112299244822324,55.99992370618647,55.37491119978467,50.48533456873459,53.25958834407294,57.530143388855734,54.32736298673576,52.619546468284646,56.36806768001812,57.433221411707216,53.410706867861784,53.36654147831039,48.696471472191284,49.67619502863776,51.24841612600234,48.18174962868558,48.61933122287753,48.480241498065126,46.09853705989718,44.70336693914606,43.73064206263781,42.0650255805412,39.316647304216055,38.87278259889356,37.43337219858487,34.40167768780241,33.87946888974855,36.87720521099497,34.30374333137719,30.223779618011918,33.71808149836345,36.738954336450256,38.43648114923354,41.69362250595679,42.466673529573164,46.65622331132729,44.57071574645838,41.26843247953899,45.842904876729534,47.404352732964924,44.66205006627493,45.538854413364646,50.888162064598966,49.7412691857703,46.18313384995561,49.616417389271625,53.48450641774423,51.60108573142897,48.799310694369055,44.58599544242145,48.50770396358551,44.95382061295778,42.827892034777726,38.95384386680416,37.83127639458642,33.38083561174199,35.48553694716114,38.15076998765035,41.91248823422923,42.80451919443586,42.36523586774864,38.9361335511755,41.77150614607838,38.385069282686956,33.95264374177075,34.82735089260028,34.13149904949397,31.440437493306383,30.968897423712423,28.958564099219686,26.64397869268056,27.41750344610723,23.702130256103043,22.297062866275986,22.737406331850377,22.872429993190995,22.445214375987845,22.85564257378807],[25.496847721578916,27.86609600037246,31.669894308298673,30.833554451064206,34.283897979190165,28.969473022666353,30.972495256025468,29.923616054098055,28.007539858317912,31.74946225199681,30.857088896422646,30.12887154440046,35.2193785024078,34.41796864109638,36.41662961835393,38.28395558977649,40.71914649907352,44.451762550304146,48.73367822502899,50.77249737887061,54.48233912826744,58.359042160004904,59.96757724532116,60.642676280624954,57.75079364790837,53.67175142578176,51.21576542096034,46.901240721116146,45.22543025478318,42.573757810160856,42.582040775370125,41.02547319697338,41.56749044348018,46.19249042307393,46.39695698141556,47.33795084060861,46.2451274083246,50.25823957869018,51.544845784769095,56.8004916325882,56.38824234505272,56.17329320623304,59.63865047832057,61.57838079766693,64.26968614305356,65.33495489080535,68.718015391236,66.29313741451541,64.25279003233345,68.24758642490887,67.38890002244081,66.6164940316159,66.11770410247051,61.42888047887601,62.349371812365135,66.76614286611651,64.46705357334982,60.71805724466424,64.72408475221013,67.57969769562806,63.01749875254249,62.36683984279359,58.74788004531649,61.37647294944531,61.13617041167527,56.9117452186616,54.121797777319664,49.88489158923729,48.38481532664653,44.16104937767652,44.714777119135036,45.66321234636407,46.023133213353894,50.76628998858326,48.576582588872654,53.42657298026612,54.051940409159016,54.494317662789996,55.00993634043394,57.70003963419083,55.072371180914686,56.29428420954637,51.82651600933368,54.82426655730099,54.724614371391255,51.388044111203925,53.21817212863094,51.014472135447555,51.626271703768474,50.89228731681381,48.99234775409626,50.032806122999986,46.01404532652205,42.72462970819161,39.429517665927165,37.42267174874112,34.74017486476891,36.27492108842618,33.87003497691165,31.89666755926989,37.94311884861804,37.08157413371966,41.92702839787293,40.655969404301935,46.06227484112608,42.903734326739645,44.312877183946895,45.83135945281464,42.24765941705491,40.116542520495464,37.10839804476787,39.041242546522795,35.481392338333876,38.76829144838912,38.06397460531444,40.72623192843145,42.92548243125575,46.80074852153046,47.774702852852755,43.89758617150668,41.985889871841955,38.879652156727104,40.197160345669296,37.72835645263767,34.9111051304213,38.99880662950316,35.756367176165085,40.01149031346174,41.83299105261904,45.28045031079356,46.623969936405274,49.02523592242467,51.86916325250878,50.92426652206083,49.64243715756278,46.38494357918681,44.85456754281635,45.42562811006993,45.41978042271929,46.239592685317696,47.99747916423969,52.27334808795675,50.365369453765915,47.527437031853104,50.05421592434859,46.51936548615057,44.19094045274626,41.015042753064854,39.621350833090816,35.13668664330791,34.280213937088156,29.936439968335513,30.826664072556177,25.31641203783719,27.73181636683686,31.908479746014685,33.64124542499822,35.710994406815075,38.40597031678278,40.57750053944264,44.41205617537049,46.27255564926782,48.26015209254572,51.48598719691618,54.78470015933932,53.77932717259563,56.73113507054666,59.83934560058957,58.13605737222186,54.365760565718745,53.76967937904326,50.228906381869876,51.93535204466169,49.97651424569964,48.84825937541667,47.03895911804979,44.95500919844957,48.082594853695184,50.966364439005666,51.32174979385616,53.219907615147854,48.189511440940244,53.41251423792173,56.669606199280715,55.02334481207912,57.514230050016835,57.24947621543508,61.672950140348085,61.54414617127,62.465864055431055,62.73896292222639,60.184036181941856,59.604364753168625,56.8758781235444,56.16294559137695,55.844959699700944,51.19201386668084,50.578322875661,47.21988388359723,44.07322920944374,44.64101378347954,41.063108388603744,39.414544894659635,40.92218843894762,40.209435623626554,35.825793067998035,36.65822388842843,37.90650335596809,35.23619548650367,31.736671074984244,33.30534621667213,32.96744099515904,28.752990294880583,29.09796868251693,31.810168186222768,34.54361546952237,35.62302050755642,41.25813133590934,40.42695794580302,40.79319745105208,45.846128788173004,47.014744926366866,49.99437678816673,49.256147400111495,49.84830278273399,51.87675698433811,49.97880342354003,54.92133104729513,54.41573107474864,49.79442764685616,52.51237152261605,56.885140253007066,53.9093068117779,52.28889371156344,56.05122090860812,57.30569048557438,53.420409710653495,53.486144051433534,48.63439937228981,49.36234275358576,50.659004985459404,47.32360195035701,47.547245918265084,47.027084247464146,44.80257411451842,43.74549388249767,42.37641838668199,40.508583455318515,38.1729687134629,37.77461719298787,35.884299216964195,32.86177020942179,32.736665336176,35.37105507772224,32.51320928840585,28.770682801978825,32.413276804740406,35.153197664411564,37.1698390057202,40.28879338759798,41.226383759064085,45.387359539949735,43.37619725613447,40.471088967054925,44.997850501287985,46.613016748810445,44.0714659201171,45.18061723669549,50.3440772329312,49.382745330107106,46.13992331304234,49.55576171749432,53.296057390034704,51.62811770314748,49.04323179210152,45.0310255130913,49.03679860967261,45.75630448995412,43.280280587578254,39.66394528506565,38.20419796586824,33.89273298103273,36.459000095163795,39.02026500015196,42.80531257105822,43.582153465948046,42.72803061745706,39.43372806322176,42.0748121080221,38.920120138867034,34.076427313436305,34.62159657152341,33.50189609598027,30.938987894233616,30.983127132818396,28.571808410840852,26.00712688856327,27.52356128743329,23.970140513418936,21.776141483751914,22.12857702643191,22.497337583145974,22.11464698774486,22.281116932101224],[22.99645958973649,25.507632067930082,29.45441471955238,29.22808759295955,32.5375597133304,27.538098815950175,29.91438131202906,28.884769058223824,27.55984614690452,31.658704000466145,31.127333149556275,30.219569511146503,35.19063190218876,34.77711737204803,36.98860573156739,38.592369176888695,40.925167078644954,44.88241552495603,49.244157139654654,51.063646229365126,54.92014369070689,58.63837887200831,60.386076975074126,60.97310491469324,57.89944781107464,53.91843818746051,51.24135839719504,46.9367669412164,45.318026805391895,42.54804242427018,43.15025257305698,41.14478693828419,41.949114801532986,46.6976467669485,46.60782237445241,47.5484149314353,46.08192340499569,50.11324550640207,51.20949607887945,56.243978050289144,56.04361888176274,56.137311143822174,59.53180251367703,61.372814434955636,64.16940107892754,65.09780098772382,68.50125222257421,66.04174314528346,63.78224799733984,67.64089803397775,66.85791476803563,65.93291947839762,65.57753341883019,60.9133089178684,61.91429321241051,66.47089422316867,64.29209909197724,60.63957684990482,64.6959433769434,67.5737078144066,63.19680597712993,62.80088093726971,59.25223576882879,62.09378616129778,61.618739378652336,57.28874591855575,54.80644849665887,50.54436067567454,49.23492171640706,45.106975015783206,45.75938094820895,47.01558737541334,47.25818597917858,51.890642798805544,49.49991610110966,54.435311334931725,54.68135256763614,55.15258420666725,55.37587423976796,57.84445409064896,54.94182181332626,55.89159573992518,51.25809861023377,54.012606227285445,53.96392925990435,50.8894762645635,53.0510348150754,50.87984258968984,51.84725730902849,51.30254572887219,49.647915620768984,51.02182502179138,47.00672596364615,43.599690518767815,40.16390448973568,38.48089928594649,35.637371182344125,36.7343919345623,34.02134167143223,31.68357538389466,37.69353116397649,36.20029667507465,41.20863465121501,39.43212803400149,44.62308973473288,41.34073621039279,42.40619471915552,43.77281086091569,40.12736778590166,38.20772988686044,35.32354669270509,37.6978314432278,34.444101318562964,37.960628687099714,37.76301445037402,40.45955402460678,42.92575695912424,46.96238254473346,48.21941261455029,44.32898718453128,42.456123279573,39.193343330657136,40.24831520116822,37.51727098288139,34.40552637312362,38.092915688021094,34.37362985178257,38.60319935514864,40.15328535427921,43.527990803419456,44.636540400872285,46.880640102894674,49.94244610549105,49.092870279216264,47.978041247137895,44.97531295582928,43.25121535384211,44.212517692706214,44.4911491841453,45.498581899107606,47.554494229639836,51.96371822950829,50.21309070837384,47.22521427757621,49.76658279914365,46.217645846901206,43.781779760059976,40.530455621768944,38.823356706231685,34.36700156806249,33.08635689221757,28.995920372446644,29.591812274165285,24.230526647180174,27.218081325802245,31.22592138259877,33.109630120974266,34.74373284858125,37.8183865210814,39.48815605886096,43.441982843525466,45.686942424049825,47.57005730073596,50.8186047915065,54.03506777260491,52.92115858550958,55.66629708983132,58.78227751447835,56.83658068254661,53.16219794477348,52.48489071281729,49.15298606638138,50.92217040422133,48.947692718815404,47.933617686706185,46.02065786685539,44.292538813392014,47.186635719288404,50.09864847425524,50.202642323572114,52.11861085315121,46.82955109756532,51.88479962165752,55.12941085914783,53.6184348281255,56.41812096641625,56.45225977971989,60.78236878861988,60.70309666396062,61.319707631927656,61.439234641725506,58.75519630087417,57.975971118903736,55.11628679256052,54.210568306475736,53.68282926380383,49.08150046021462,48.23605215560973,44.754325067753214,41.65425639727234,41.880670630524726,38.356698684303495,36.91564256063298,38.186051355864585,37.2257938566949,32.99689424758413,33.99186777384442,34.88604980065016,32.027573482711546,28.80426746264654,30.2748003884157,29.658181529312063,25.550572145251728,26.147262168875674,28.606177139939668,31.487362571238066,32.203812976490084,38.1349175086799,37.21355702164805,37.36402155274035,42.36566398989152,43.38710300952864,46.42349822133397,45.70252703694496,46.43206207261816,48.511722028237855,46.795074220573895,51.724705186193866,51.121456992069064,46.68366891437946,49.50008577633387,53.803925868279705,50.87173042055648,49.41613680026829,53.258927688447706,54.434365273903715,50.60100396571921,50.949635431983,45.94143821255597,46.78249054505773,47.8911023935341,44.375999545298654,44.68809340598738,43.99862033073738,42.041163786166095,40.95674774707153,39.27623719913017,37.552506849242164,35.406235123468946,34.74212499606474,32.6958690946987,29.754060389470634,29.590134679304022,31.954896335528836,29.040441010446767,25.37722019231803,28.895706917065514,31.514015542379514,33.628816507590116,36.78336191555207,37.91351782686693,41.993830076921924,39.861188809743275,37.18067238917467,41.75721196296589,43.25261111764862,40.77023315267849,42.11185349710016,47.1180933539981,46.13086696180523,43.11473508754224,46.612859894969034,50.176854293115184,48.55154613488203,46.128469115773136,42.25790384663155,46.22503956867723,43.133073402820706,40.39473349130872,37.028261070684884,35.434128544901654,31.298498700313537,34.109983436576066,36.649646291815735,40.40065623641323,41.20754299019541,40.12870996072502,37.13898638252735,39.79518881747366,36.96639200174266,31.73558677918267,32.3125244881345,30.916041497906832,28.779246394975456,28.851949378396583,25.966511923892323,23.585817982502356,25.75534838090989,21.930265273752415,19.413844380236316,20.12493204981901,20.99000682049514,20.944942226622867,21.310532162236434],[20.52826576626134,22.928415951273596,26.894028850581833,26.132298102726235,29.85802318095035,24.84313456393563,27.24196725650399,26.72444020008773,25.02244994947252,28.96534507994798,28.62521652090731,28.256979025051326,32.903440749623954,32.055680032483906,34.66560188863987,36.467850867033434,38.4322696330705,42.44132010677265,46.54214357632606,48.620355500598436,52.37398097786373,56.21943202259057,57.78248160511868,58.18192302850151,55.22378815204671,51.1386639221787,48.63017901500718,44.274745808298555,42.96215969501728,40.51233600625297,41.19775773041322,39.55713594600854,40.656769111935866,45.33985541487593,45.06992279579371,45.64542909858369,44.37386089439907,47.994763474533215,48.9685248531131,54.216845238689466,53.62081949796737,53.76143376633793,57.3371173395284,58.99413748631167,61.62194345791261,62.43325752380329,65.918713483513,63.665847120710055,61.33572514610241,65.30733998588023,64.74686415526915,63.98306064016567,63.73593925800131,58.94360346703563,60.298102202103195,64.70761658624758,62.27062889439141,58.8193841353532,63.01416919064364,65.59907996170509,61.09820912572372,60.83891753496778,57.41022023261512,59.99472027042011,59.379508246114824,55.13909637041596,52.39253826985786,48.24372668273177,46.60451718870232,42.57280587932437,42.979115194769264,44.227426751279545,44.79587335280758,49.44180782329542,47.352981481989836,52.55008626814727,52.784829017981664,53.59142428421566,53.77166094967445,56.17364872669212,53.45027790852915,54.28256531528844,49.8817943551605,52.591955829533255,52.21055440886104,49.124522011507054,51.15894583366998,49.35506424415676,50.00342957020588,49.86322248237639,47.94011082870933,49.37925291039652,45.34681400770681,42.098324587107655,38.40804384616929,36.773181560341314,33.63589769007585,35.265307887333876,32.57764858489894,30.87715835209004,36.564704060246825,35.30577193458802,40.01171758797114,38.27504436113846,43.33452876456935,39.827725714596966,41.2392079941898,42.3872951363765,38.56757300180881,36.77163840358568,33.475781869655734,35.6093891318236,32.114206921173135,35.352956965149225,35.03252627722655,37.48520559672054,40.016749143661904,43.77855088631623,45.17489036396221,41.49566098556711,39.396110397537505,36.13918282825978,36.96529608694386,34.346451416634686,31.365212567557872,35.22263516657692,31.839547338305735,36.20940942602598,38.00348208538609,41.717642909337286,42.613162398083226,45.20795366023404,48.00928751570014,47.419835148259985,45.833088224240434,42.70002500985827,40.736767316582785,41.49533468739272,41.52374591005498,42.6424430177709,44.34627433670245,48.77810448038809,47.17952637915594,44.304023661904736,47.03190065287935,43.71772814661077,41.175773013869645,38.18939313353988,36.702893722671746,32.24408965234203,31.412420468317386,27.443540501949908,28.79415464468322,23.708062473745784,26.432592670367576,30.26949688231516,31.642637505779156,33.38928369870544,36.1520343133626,37.78364754018159,41.3166710460073,43.54796969297618,45.04760446077085,48.53295595772466,51.482171612122485,50.10279167273293,53.0871181301145,56.030675390073405,54.18665452871361,50.41109048180525,49.96335920788779,46.55528043082735,48.598210279603535,46.86357806912355,46.056553546719286,44.47018693070164,42.674067257866476,45.98864687626816,48.541811193398296,48.76273183652064,50.28090570477497,45.08612825909559,50.13297799263541,53.272004899096,51.53089120253336,54.328445705984514,54.22490225299104,58.56739716946396,58.15195267391262,58.971243318950684,59.02769109419718,56.55458659266477,55.739174261993455,52.9323226621034,52.1720204934135,51.70383475178471,46.97593150199216,46.44634664586696,42.948655174728906,40.0401743652735,40.589494327967486,37.247788545529566,35.38721632678134,36.60758827901144,36.13549422207316,31.734771302665564,32.08422621840623,33.49176339625635,31.25127044301301,27.314449233127736,28.716959236544387,28.63836819314641,24.45976815461048,24.359524303643344,27.18047951617371,29.79200950962665,31.24029732970411,36.521716771456774,35.88170330498121,36.4907384381922,41.651573982312854,43.01172512491017,45.992773288757284,45.503815512650085,46.03271732695777,48.24394356901206,46.40315856136729,51.27782934949458,50.54903587310491,45.77592583208126,48.65541836265018,52.85945432206559,49.670003059357576,48.10193585295976,51.93789406362747,52.921096714121965,48.93225416167374,49.153830613485674,44.32116597336381,45.443049860454536,46.86067481568651,43.64576036423516,44.21663813184858,43.990110892225395,41.847008560806565,40.34107091960255,39.136214484186546,37.66793332973741,35.00150277411394,34.27035904973698,32.7913720822122,29.82897256398854,29.15908303046803,32.018384191728906,29.478948373862764,25.35736796623445,28.73356003539391,31.743352045648532,33.44025282163207,36.74979288731144,37.64432760685866,41.779922356762704,39.59123227105002,36.39406019513012,41.026765976862265,42.49718023984657,39.78198038469581,40.826629639133344,46.074971162052854,44.9170018891331,41.51596546733629,45.01982204813565,48.76449737825972,46.93156370896125,44.25400910490125,40.15465119168136,44.09933225424347,40.725977497898775,38.35496286030288,34.65650453661307,33.35365993873474,29.01932494046882,31.419973981338405,34.05691794617594,37.82031163670062,38.7184316905872,38.04348790514637,34.88416381013975,37.76176507865744,34.6939101295357,29.834217833782052,30.79629223210601,29.868339145121894,27.610902086494924,27.06851042079458,24.582269180163486,22.497554070679,23.888148229608774,19.77039271325784,18.135064140811167,19.025984473859218,19.707492856821418,19.692197934636166,20.454165886037305],[19.316683507348593,21.26478466441828,24.615500599336396,23.506353228776234,26.77203863226143,21.355330450877688,23.37534113172592,22.51756536141013,20.741559312304428,24.70869469247637,24.264386572708826,23.724584637991377,28.462797147451123,27.81403306972589,30.29192550204508,31.996597386450603,34.07890549875144,38.08826668966837,42.32065306528434,44.2594791541125,48.07122655463151,51.85289684383794,53.507631900919336,54.0017281158826,50.97576163192835,46.94436525034055,44.348847478486796,40.014977171875394,38.55766056082089,36.00884964971246,36.736920750948926,34.991318949076884,36.12733493991361,40.829330344528614,40.510504929737365,41.124492914553,39.818750124607426,43.52822416520316,44.57155380497348,49.801801646015015,49.30777384593665,49.38160118438149,52.9001044992065,54.640325053463044,57.33352312734968,58.23667402500306,61.67367140172384,59.32119304984573,57.07784131779708,61.039749226195255,60.36282602960524,59.58922050148337,59.27181568564301,54.50516358291607,55.76961423455072,60.18565027457147,57.79076398097455,54.28564617483192,58.459876189362014,61.09914765363407,56.62587665259221,56.357785034909284,52.92057747549539,55.59616906143942,54.972457631207305,50.69191165887966,48.078505734414996,43.88532347817316,42.4213405351938,38.38073635546786,38.93839991728326,40.33430397530789,40.69420539077003,45.282225906525134,43.02851107900552,48.209684056768836,48.3282682532507,49.11204284176117,49.23515625119467,51.620647803297295,48.877429953865466,49.74418157778619,45.347277040787,48.12076092080203,47.779104255750454,44.624917721945515,46.63992417625837,44.783064024696664,45.47543982864751,45.32937679721497,43.47032193122564,45.01227262482724,40.98615485403098,37.69578256295087,33.9689879315936,32.45470429550853,29.285000621826576,30.749310371332385,28.012415356867276,26.36152250653002,31.995543903432253,30.846937833810625,35.49856296297925,33.931742579408244,39.1154911646607,35.73663335014421,37.33684388288904,38.68597302303315,35.01409856366101,32.94690047260149,29.706516702953568,31.579039402497017,28.00389352522683,31.291137948468492,30.853241651250784,33.479762806539426,35.91014654385071,39.87780213427891,41.16174166424678,37.33509508119118,35.392370757794275,32.118156511820864,33.169876050250295,30.496498687495986,27.496432403859025,31.43322773703806,28.14139438366321,32.42323012164315,34.304957590566275,37.89107139654262,39.17125530731912,41.73012099474013,44.42686582169967,43.60120426456916,42.112009277279995,38.83453122452642,37.25294303222996,37.81110749490025,37.85403077482519,38.747308399173704,40.64103039049319,44.99468027694236,43.20575650008962,40.27642495494979,42.871153258846924,39.42099645381791,36.95982287272614,33.85409705130443,32.38035514653059,27.903408344050217,27.12849224898444,23.015289257430123,24.47432905722421,19.408633736363353,21.946439517954204,25.765409515260963,27.096274276752425,28.953293594555916,31.642487812226456,33.459273909069374,37.07989365840358,39.16790436121963,40.888844636641856,44.245542854501934,47.375668520213154,46.25101755677193,49.17804331747801,52.258028632652334,50.518789051512414,46.75179037807877,46.17279720819735,42.663478318737425,44.489099605216126,42.644256590178415,41.70871795073979,40.085107825478076,38.18099025863234,41.524185462662466,44.104362204641504,44.40425569977017,46.00935693702539,40.92717953661736,46.09236186010849,49.28467052533323,47.553025884775764,50.15341482394157,49.967525959653436,54.34905685101719,54.09901838963532,54.967616967090095,55.17610780766121,52.665445312282465,52.04834812684569,49.33726828669961,48.68981588074345,48.45234639496356,43.764969884760575,43.32187582348444,40.06152863852856,36.927127475940566,37.85421633781992,34.32198979005412,32.36844608407377,34.095177027411786,33.773566725994876,29.192845084092006,29.850937425974926,31.588094260046272,29.305413389902824,25.358890281017718,27.230758074323028,27.449438789892174,23.020248125635916,23.208824934117356,26.58960385556444,28.897617377061525,30.69520580195729,35.68707508587211,34.68640620026816,35.53602728688742,40.59902413121506,42.38254066680324,44.98035236268073,44.13688295620209,44.29887599967222,46.27072786614246,44.04638932797501,48.947125417537684,48.52922856077214,43.52019870781328,46.11840999669102,50.52828895243951,47.45797628037787,45.5901105551919,49.247339191666796,50.59070941539069,46.66949230659288,46.374588723255144,41.708482000136,42.39419433272253,43.95726105078764,40.94675350166014,41.2880262278449,41.28612148049263,38.75946156355726,37.350930460411476,36.59285512951972,34.886578248343554,31.975177270536804,31.710949402213355,30.455135494330754,27.380277169398592,26.89288439589844,30.218629188928098,27.82534243503286,23.66729526685374,27.434517596544346,30.64431095565319,32.15272208713691,35.187864217091104,35.60936351853476,39.90557107937019,38.17672122154328,34.64630295957126,39.02400834443307,40.9057596884873,38.28468439369863,38.85539984883519,44.29662298246192,43.54319285813842,39.89818250202902,43.04354552584987,47.123086562655175,45.59311842916235,42.77927845597967,38.67765146758885,42.976730059370226,39.683297279623474,37.577503793190274,33.55300173748258,31.869449837403454,27.36014752253649,30.001886288518136,32.31638856893864,36.16254852730206,36.66170870297111,35.85262325394085,32.21000789072299,34.78124563111172,31.437691674185437,26.88111566410885,27.4989979697961,26.770871456846354,24.002084919177065,23.709643005666006,21.768890781475598,19.258296722403173,20.14197432472268,16.64984817674263,14.971975810178352,15.319243496288532,15.608105427578506,15.381475719714897,16.188408508087278],[17.72619795708752,19.447281816229665,22.74429042246775,20.941981363887052,24.734280571992826,19.404996399447267,21.43482215810439,21.318531498175254,19.066805875223622,22.752636368686666,22.595482373403875,22.808718840321685,27.01961521638277,25.795405080375513,28.788711952157538,30.72774798333843,32.309612487733716,36.36027334073074,40.23729209120735,42.49076902434292,46.1602331037326,50.08234172496139,51.50761681552203,51.768457830290906,48.889049976782985,44.74187809509838,42.36368923210501,37.98459835976934,36.928837443690895,34.80304639622941,35.63603981329641,34.35470271925626,35.83287516556822,40.40136960835777,39.8718985523021,40.04091518169924,38.975930562440496,42.15620117653191,43.0357636422414,48.488985695852264,47.5247297240335,47.66508210910122,51.3874241828354,52.89698728683702,55.38330763376063,56.13731656096432,59.667285507724344,57.567505876418,55.23380304415994,59.31538588180373,58.910736034576104,58.321627826995744,58.1389051461077,53.239045827938476,54.91698475697497,59.14709054110857,56.46230225321116,53.212829282340266,57.53016577894803,59.818665435768246,55.220269422686926,55.116884659292076,51.83593609240107,54.1986324890765,53.4094987596189,49.25258226227796,46.33156070046196,42.29924916254465,40.430458808881234,36.535023374122865,36.77345146286305,38.149669454149404,38.92258195122825,43.50274146730454,41.63624263034988,47.097090341536905,47.20545041583604,48.37767253142983,48.449720515778225,50.740482750269464,48.21735319509646,48.9344062301076,44.83552640089298,47.52469654142739,46.79598990523051,43.66192857057075,45.52182131207008,44.11539352670279,44.43067908060274,44.76464516821591,42.605544775098764,44.20910039165953,40.197358463053945,37.130833239690055,33.14382683548192,31.70766019087093,28.218588170348706,30.326101856901705,27.672096864709427,26.825255164137793,31.950913612821072,31.078056369727836,35.30065804795002,33.77759506082297,38.71893714075293,35.102409402539834,37.06367417212205,38.12003044537758,34.277304968556805,32.41550504054609,28.72463745895599,30.29526798729823,26.46846705836891,29.356816031092666,28.77801018081614,31.0585723315653,33.57435669885659,37.17867800964542,38.640178927560505,35.10381295354833,32.86808700200794,29.61138126052462,30.338830575025636,27.81980564873822,25.008484744712696,29.137431373137563,26.31019491870841,30.7256971036409,32.88240613325813,36.85068997055413,37.83001659865534,40.7756048769588,43.158097147931116,42.664662819911435,40.62772281709209,37.23380521831446,35.34165253520449,35.66297391807675,35.394019514646736,36.439651098504925,37.880046377323495,42.26094530394382,40.678912264448456,37.89771054570691,40.72513017803318,37.5912168075015,35.00401189983115,32.26381236291033,31.07735204226317,26.660803977356753,26.46427635648738,22.62845742566378,24.96562380231379,20.4485482565236,22.575671480583036,26.05587038291553,26.730400507167936,28.667009192670527,30.936713250701306,32.654395145424374,35.71284216475161,37.78538758049998,39.00525243817744,42.64208092560248,45.420237327714645,43.956436089164036,47.16358511879934,50.018061014360825,48.39270125418325,44.51862842679139,44.22615606230811,40.652150415263684,42.817819262048175,41.28069839031215,40.61323363048942,39.39433589256656,37.446446274518635,41.24159010993243,43.376625382333195,43.79834616740315,44.91811258905853,39.97210131486807,45.07218993006003,48.11561618223212,46.12542364875563,48.7331197821504,48.39930351367316,52.77482701650173,52.115742249074785,53.207015131278894,53.32581900502354,51.07275133809631,50.39450834616824,47.74858444029164,47.26108035269694,47.07044653999324,42.26711487320627,42.183284221766506,38.91176217887886,36.05735938083253,37.30576372111575,34.053285573507175,31.657032989731913,33.25162565185202,33.47772052846514,28.811040811498405,28.675465160519188,30.948296955415803,29.411548085142808,24.764408179095287,26.472319366950913,27.26714689559998,22.92752500209147,22.28864092132036,25.940610351571493,27.903205795725327,30.43352143935332,34.6438774266267,33.99975272573559,35.31021290954154,40.47459508666699,42.54489735934534,45.09682141271942,44.54360107397825,44.53591540767287,46.653527215440654,44.368176736555505,49.155796029155766,48.57076580189258,43.27891995053859,45.94951743242159,50.18679118010263,46.851167654481486,44.90705816445588,48.54507949904659,49.62746842889191,45.55729740272323,45.171127053512514,40.72831334806028,41.76957326570786,43.64740422205858,40.97804180438008,41.62421347603921,42.09070140294733,39.4524240797744,37.59178150760748,37.307036388225725,35.93524731574323,32.55163672216611,32.16327320759518,31.517092197944546,28.517884798863424,27.478775929584195,31.18343601039218,29.219455274709205,24.732028557167872,28.180146035414882,31.681756841616536,32.75003613289163,35.91828783908468,36.1420000533145,40.40975490567479,38.59347160689882,34.60858149797257,39.003478658796254,40.78840592080765,37.942980323673154,38.22559798634505,43.8492470154762,42.8772035719795,38.87449055241742,42.02312027887322,46.231175117969435,44.45992231861904,41.40404925900963,37.08715215463194,41.28875720035061,37.70645139263348,36.026898593259375,31.700455549836406,30.405670437277188,25.754967867170766,27.837201792591085,30.24989013709239,34.059396912847625,34.683077848183025,34.36858100290414,30.607589136387638,33.433007618444975,29.86603679862372,25.82365937349944,26.924473381972636,26.751730989550694,23.974128880430648,22.907813738225187,21.488564579498455,19.486179249386996,19.36937478449709,15.599591392502699,15.238661420929805,15.82646711076914,15.892191422012727,15.773882380694964,17.040848005103225],[17.34237301903183,18.389765953539705,20.87935190414851,18.356066312036283,21.850275767162778,16.211087569277414,17.740173633512367,17.704945921519712,15.037558506417671,18.543582685173025,18.449943604903172,18.95978259133765,22.91733508617911,21.562192793920612,24.719401463185502,26.68525468574419,28.102380941490647,32.175350560424796,35.99740648735029,38.27517239469905,41.929453945043264,45.860342207913476,47.261687697874386,47.50125008085135,44.62661279863117,40.47170656699936,38.11649486565261,33.7344196021619,32.74529416321619,30.75284775480461,31.684052696141418,30.55594949252086,32.24829617593715,36.73920902213875,36.05403777975067,36.026209676608,35.05949184281566,38.04351637946564,38.90910321097431,44.45426107069436,43.35372279854858,43.45933422810355,47.22614283570008,48.702163902278414,51.14898431537954,51.91984047933635,55.449409853643125,53.37602946277768,51.08423425165617,55.21471455740326,54.825287713388676,54.31734699720986,54.13392845227766,49.20121877719239,50.98741951345615,55.12821624346186,52.34843210943589,49.17247533320174,53.53370899021844,55.70466112338344,51.07344728278712,51.04104840486279,47.83187858677847,50.125949780597416,49.24844728048809,45.11658747463077,42.17313273525409,38.180316270989714,36.278530369814064,32.45389284534131,32.67822695159418,34.19715262098568,34.97171411780599,39.48270062817187,37.65338868158885,43.23020908764987,43.22057404744456,44.56263705867736,44.55419697384174,46.778384487022315,44.35175879608886,45.02798396909349,41.093603048488895,43.79547891415099,42.91480601557194,39.728236892488404,41.48358236786355,40.25716263814375,40.42095157218666,40.99261458679243,38.74857887993932,40.48015838867463,36.49655129503294,33.52099540930506,29.37760808536752,28.120507585411847,24.438130787103493,26.72541675311018,24.093814295733296,23.783836618574433,28.49553429965113,27.902130194425776,31.792700818297682,30.483082359422404,35.38398949141067,31.801057538949383,34.1224409662951,35.21929830347797,31.475420728440987,29.46861729078414,25.639345323162384,26.74016247810771,22.70139894053372,25.389762248859668,24.588873062155635,26.862594229214675,29.316083904362436,32.93777772594863,34.38354015994903,30.844293385380595,28.611309028310252,25.340843127827004,26.136050870020814,23.644447083900204,20.929719432288824,25.26574178582824,22.83791099724391,27.197996640750773,29.583860833575674,33.59286912539982,34.79709343962425,37.87962866346613,39.98985661083428,39.432773502343466,37.22505329506982,33.63744353083949,31.985371108425074,31.966327389151214,31.54433678079251,32.433133829859685,33.82549394411388,38.13804980297568,36.464884964942144,33.707458858486625,36.51947057302933,33.414125490530104,30.845536618436803,28.184745735409102,27.183982536462924,22.805587676326134,23.028707656525555,19.259013365026195,22.192326499847983,18.163684511408768,19.768877873405952,22.94367447855095,23.173075667502054,25.25592442266371,27.182523426252335,29.033823833178854,31.859333193389457,33.76510021078004,34.94596110724242,38.59416133438904,41.37280256523793,39.99600065690468,43.28450697763786,46.159713821443056,44.697382990661275,40.785216619307405,40.506526110991295,36.80229961790331,38.9178585197261,37.43187845036488,36.774553810211984,35.73439928962599,33.6593144242579,37.70302884412065,39.62807619168032,40.189973765435205,41.1470270619813,36.40291352668354,41.567830082680224,44.57913239680865,42.47606297877312,44.88560572681432,44.394772015919905,48.79787268039815,48.10033568110783,49.35185474536916,49.574771794368125,47.412706524286946,46.90238568781352,44.38989340019503,44.093004952978326,44.148301530695385,39.35523785721998,39.52964795481841,36.51019224491999,33.60194272123794,35.350664783854974,32.09769830146987,29.434720577615,31.427604639644645,32.04658120837066,27.269572566505083,27.049650320419726,29.832441542763487,28.628206693061394,23.793405092953826,25.802584331300512,27.084951604228824,22.72604547651281,22.010327219999972,26.12139865868839,27.616187101757834,30.675154652441865,34.23127499765864,33.43358354353636,35.116540582739404,40.15457343550863,42.664176123845586,44.847696271611014,44.12112967685693,43.73175992676749,45.68008693545292,43.05939598940676,47.77441074724815,47.39563890153314,41.82771473100082,44.25105548597399,48.56067882508145,45.244796993269375,43.01371918098396,46.448790427452494,47.73393911604649,43.6934843169823,42.79078977165481,38.64829602346008,39.43494887088974,41.574682413142654,39.275435041255456,39.843515543098164,40.71234647925392,37.71447715561281,35.76242228548707,36.09888683773454,34.68655050392118,30.929143429986002,30.918615127703102,30.75648186222594,27.771049324903085,26.678240862551014,30.8509675821211,29.237543721038723,24.73386546313488,28.259474230423123,31.94702480307503,32.66114002321632,35.589048657098495,35.32085588256505,39.64850790952448,38.21540629598059,33.82283342909529,37.92793255629306,40.00688669108621,37.19035468908748,36.92414715379853,42.72774343102572,42.02914420328882,37.70930922082386,40.496256320983356,45.01570327458915,43.42839326326416,40.18165840656042,35.825691477251816,40.246764691080614,36.661316994868976,35.42792901841014,30.76094370137108,29.31644765080138,24.555769715995766,26.547469628887164,28.641265098134404,32.44413077890371,32.7354125867535,32.53092021538303,28.295394010268787,30.904363600267864,26.981085651635667,23.60574477058748,24.585618122601616,24.9055477716806,21.69346479261248,20.482285705705287,19.968641534465377,17.907221278936827,16.646631847331143,13.638636990705647,14.088233469020954,14.15363184900493,13.637748802354,13.334572884004041,14.862085040602338],[21.20049786286081,21.9878793017208,24.08541374288441,20.784032726078863,24.250600993859702,18.5471297030528,19.254661305059336,19.282956112561422,15.658259384555961,18.1958221103489,17.519856976987267,18.57541558827983,22.439582896327863,20.294771902296496,23.215276826647088,25.63954074866681,27.053648670331285,30.75401025019375,34.349310668699296,37.00528940411866,40.40196369158217,44.567046871729545,45.72365703582677,46.035200475868805,43.45229355038572,39.15790576587655,37.18360643687926,32.820565587282466,31.847379773733213,30.167256179892213,30.255432709437933,29.92537011433604,31.34419162726544,35.58130544951476,35.226212733858375,35.06775792234749,34.704298909252586,37.493422153795684,38.58719315683136,44.42792155311191,42.947735733656614,42.628071464162495,46.51058901526618,48.06351020167883,50.31270135988854,51.24251574653256,54.74173585672843,52.770663625793304,50.777695579454864,55.08646329510178,54.64429938306652,54.38237839184249,54.035626830790505,49.081574204100164,50.83377251170482,54.71924404112678,51.73285651758731,48.507709815039235,52.8131992720546,54.859272538459145,49.97703408541738,49.65434208382551,46.408563967495255,48.33706195055749,47.72096206400234,43.775156559579976,40.34826493211325,36.44304022318196,34.17036308968521,30.25229040890653,30.246740279233038,31.34609365611482,32.402069184957796,37.06670400316963,35.61990956548804,41.169080508901224,41.64184911955505,43.06265092888316,43.41182853132337,45.88392388773037,43.89691146817472,44.89348511702822,41.300400636946364,44.27866299776682,43.25918091175531,39.752453065351986,40.98893654793179,39.84507666786898,39.42184085482676,39.88208197556994,37.23500843520456,38.55504352427264,34.583388685555846,31.85566390505363,27.831021016139747,26.172686796394935,22.606643683963384,25.74572518575513,23.644050682048395,24.13117185989518,28.605789805486125,28.98515056491113,32.44368254990223,31.890992918648916,36.9224573371094,33.57849824853099,36.359729504880995,37.60397982621927,34.046755810281255,31.831863132088312,27.943192640056527,28.286059646542583,23.906749404338235,26.0346792543667,24.378732379396066,26.475890820000103,28.45489647536518,31.717630416724244,32.747718227894104,29.30617293853143,26.962688836924425,23.981096304013228,25.16221915852501,23.208328700027174,21.156050295606313,26.03939140593444,24.58257630164848,28.781849879166398,31.520454368817894,35.54075189464379,37.025411122988444,40.278981279961606,42.00236403926335,41.355930246445716,38.90105606374034,35.01444058863165,33.68333664851577,33.030216756434825,32.13411486374139,32.71095612995827,33.55135054862339,37.597600381486956,35.72292409845071,33.25524110462056,36.042559222234,33.06037610888585,30.682245878570942,28.271186764327,27.851841932534075,23.60931735773387,24.60030599061505,20.69550532932279,24.05150265922244,20.139816983484298,20.758495895486465,23.939395312812792,23.774232143769872,26.448157328859796,27.647745462468333,30.177343797737137,32.64513593425827,33.92284635193598,35.15083999973132,38.74901715862272,41.55106043050966,40.31664490364346,43.89398931178286,46.69302825123979,45.622686463654084,41.62382212774492,41.49883559645319,37.54455855625779,39.5678530224129,38.17971220221099,37.414310449301254,36.61926818790875,34.06779816967316,38.46162221722621,40.221019817883644,41.14802694126436,41.97710640152596,37.718626891531564,43.006841896588654,45.96250680312695,43.66802373629311,45.59794832442654,44.66257190043976,49.14498566323445,48.32525745706528,50.029843866047905,50.46017944881356,48.54055905181719,48.3185228100695,46.04442712694652,46.04455913268089,46.401483264871814,41.63191941149637,42.153218658519904,39.384428881777744,36.51073310375811,38.68127707006949,35.467989363961074,32.608204410806735,34.83901832200754,35.76469052939369,30.965921377134,30.53674867281927,33.66058366138621,32.71283498558823,27.762157288754505,29.78619905428075,31.311315559233204,27.007350845244442,26.06348307539363,30.252036667151913,31.550101419624156,34.898672418852215,38.04814417792717,37.3789384383312,39.26694829705357,44.27516453403091,46.915257587142186,49.01258954648365,48.28032008081904,47.73235673845849,49.598049755719025,46.79572347178635,51.44956792891064,51.188271305254354,45.47003159723982,47.728545651450375,52.048742840469394,48.71858837074355,46.30860256365839,49.57326538800593,50.93084730442488,46.88916376648089,45.609953983995325,41.786068089570215,42.41866622232064,44.77938744179262,42.776318702756626,43.24081379220305,44.32614019385052,41.05807016344282,39.15634852338864,39.87743265329314,38.34030850204066,34.44336001970369,34.74175825034794,34.75474404932841,31.76150635125881,30.756438172598706,35.07708622821004,33.52891316243062,29.07662354127029,32.635458982597804,36.35070570486829,36.975908955664494,39.81987767979969,39.35278171556865,43.69176664010039,42.41302829095703,37.85559392526488,41.81294695893817,43.99109937042957,41.15578846795006,40.607834617262455,46.49373987796372,45.837626067949955,41.31518294286449,43.92861591314822,48.59648795074551,46.984736476494476,43.58583729447748,39.145806204902705,43.51929788023293,39.77168351514163,38.92281503530799,34.066567855600496,32.84461540500414,28.063943272652867,29.62750049128864,31.6505369361658,35.359707674478344,35.5866037226039,35.70778825047658,31.200559096309945,33.68899694734665,29.437212607772793,26.82810882549174,27.724589082329256,28.408481872101518,24.824597982757645,23.61773213059938,23.774536559696973,21.63434400829571,19.566496007098284,17.318981351391177,18.093391909289455,17.685530010538795,16.560935211076753,15.785074551658889,16.86517607417413],[23.609147447244876,23.978326241262508,25.557751041254157,21.48280933272109,24.957095037959938,19.563326033959214,19.6312010110171,20.186563595227973,15.939022444322616,17.34730603035957,16.590973347678414,18.56869303908627,21.648371110960674,18.618874401867497,21.6970311498297,24.488719171664545,25.427741162386237,28.82191932195761,31.921243440473557,34.99951844727679,38.08463496088402,42.4380689633965,43.27369842610477,43.4594571739917,41.180236123477336,36.77132937717587,35.21855317337862,30.918492600177686,30.283360384054017,29.170764653943795,28.855299455669442,29.36524450089165,30.86582988148322,34.7354878053882,34.39534174217432,33.8154236102631,33.992669719942704,36.20636209872,37.29856655802418,43.38095023023788,41.36505068183824,40.83677244207689,44.882807968592196,46.30243629536026,48.26844502640143,49.18870342961696,52.703241719160104,50.97639568531321,49.127115424531226,53.583522453285504,53.29003617673684,53.3030483690064,52.95346838742408,47.95076776766597,49.94923743385717,53.5143917312456,50.23642355750332,47.20125912867131,51.529648789333564,53.233852021611014,48.16654587946034,47.80850482353867,44.70012580021558,46.170123415546605,45.57697272893732,41.87499124041953,37.98706033591148,34.31931170594002,31.547738664665754,27.775712015683933,27.365017705351914,28.195460524236477,29.741017332493588,34.40085996688242,33.508045322213384,39.17882694731286,39.88772223210282,41.63723030577617,42.12879199505593,44.626153764091995,43.078265266517015,44.130363145420844,41.0093853683572,44.034846430876755,42.68186064532445,39.06062049595496,39.85731729674553,39.11733486900177,38.08544954355101,38.852942032569,35.805002480344264,36.937462042299025,33.071266445673324,30.739053815054802,26.68979595278236,24.96063744471546,21.337163207243826,25.349625019162435,23.71607973173239,25.225198884514658,28.966672935110918,30.056016592011932,32.84769968450642,32.77451059846404,37.58615345294904,34.32011421001742,37.54463776875708,38.679747251731044,35.230183416271956,33.05718062376943,28.990898291619267,28.634933076317434,24.054077777532324,25.440058736427876,23.166836763250945,24.81206289243976,26.46723405128697,29.15380706763698,30.02276315811188,26.93292637867394,24.34321884332085,21.659514019162145,22.833416321948942,21.449409037227376,20.116466724430307,25.30403861622057,24.885849949674164,28.886243647729852,31.94568952615683,36.09317076005959,37.56763225219895,41.09145931033161,42.3407977309193,41.836949093104394,38.93768966779313,34.85850379335675,33.60948398746939,32.380471497731094,30.98459642468104,31.415929486978143,31.572539693436337,35.38312713842767,33.52995912030783,31.40082798760437,34.27488206299362,31.656958952469658,29.373430153527405,27.46209937580648,27.63581248711433,23.714359255349308,25.5286262418707,21.969233400790156,25.937443881400913,22.675909985904624,22.512070223532092,25.245866901112898,24.39574351940208,27.323850615800552,27.74812628967661,30.5188533327936,32.3053365923532,33.14058969054879,34.02581929411476,37.70822394443847,40.24705454360431,38.91828600794319,42.80844993445437,45.38974790489169,44.66895990952857,40.603881486936594,40.750670280998456,36.65300802469835,38.78746054869415,37.68810846518538,37.04992560145236,36.698944540264364,33.897640495893974,38.707584081056865,40.02321642398351,41.23421647877554,41.6461789489656,37.86430790347531,43.09172173243341,45.87439634673254,43.330462952603554,44.923887647916146,43.622437613902555,48.09351673167359,46.94749391399635,49.067938313592364,49.5790580485226,47.99374586292709,47.93695767267868,45.894229297649396,46.1922555222208,46.78746549837092,42.04467962051249,42.997803802983,40.45991268315644,37.804744544616184,40.40969025227549,37.42696917552201,34.26475565479161,36.56762520023323,37.97014171263679,33.21831834900299,32.295935487885714,35.86162544049763,35.464495851881054,30.248154148661037,32.197106673972435,34.13894756973159,30.013744048938563,28.635069457434923,32.92881066774303,33.85491932282856,37.69011130541444,40.09922509729541,39.64124695596947,41.87834731728189,46.82251418378702,49.70998594833518,51.6522651994356,51.030486412735925,50.260576969065234,52.10536282063126,49.15598009564831,53.6573333286319,53.41186267470886,47.49391163423116,49.63018708556929,53.83078917987397,50.40054881521569,47.8346357454159,50.91729730491201,52.200301883456405,48.13862789098231,46.523563938431415,43.10996825640294,43.78879584201447,46.44054772436399,44.86013948034831,45.40745444316244,46.8864172358935,43.42055043474915,41.33181348339198,42.56342942841407,41.14812546422385,36.972863106718016,37.41090364288753,37.86330478411888,34.962127422981105,33.76415236252851,38.30337519425616,37.04778014678822,32.562012063872665,35.941374153710434,39.76103220864424,40.08816256229311,42.87092374266826,42.14417267182257,46.424533336188155,45.26154616453716,40.411972834362004,44.18809030149783,46.391361193637,43.487363825334846,42.56372353749401,48.52680202872905,47.848185263258415,43.053129522818274,45.46144257515221,50.268637474987074,48.5840663552357,44.99504147088228,40.47493387832896,44.74393269509685,40.83329747223943,40.513283555401316,35.446753507073936,34.52814950257801,29.79772938364013,30.787695068044176,32.68156760687469,36.21773375836738,36.39250587009296,36.96586088449269,32.27388226056131,34.71618920570905,30.218667197777904,28.52620855861524,29.570048435641414,30.768891210270827,27.078541772719376,25.50819504738846,26.386534496539294,24.535079070448663,21.556176075418428,19.859574613612345,21.398435028300753,20.851847107862717,19.413529169137295,18.516164055970254,19.598409799350584],[29.157636209884366,29.64359619757038,31.059988060775346,27.219948183002003,29.9383435687043,24.104940255251485,23.459349187280097,22.7906333306602,18.366798996720288,19.262708868131742,17.150032094942365,18.267431926339626,22.224565434215737,19.435491389107852,20.909990497899937,23.855876232971127,25.823385395274904,28.540350908481894,32.02533842094022,34.957422664322614,37.933911174736096,42.3124796554777,43.24836683240916,44.00753729090054,41.863767240679046,37.54034884017638,36.0946705970063,31.96609334247959,30.538373433173373,29.045899078179442,27.269037636911968,28.103281735872493,28.572729476288174,32.29457000538263,32.83376907146187,32.886461670843545,33.50174047736604,36.40986678639703,38.12994974033778,44.18768750194412,42.52740321974725,41.27436209976234,45.075892365682726,47.03697751436734,49.11118434319851,50.5372102269222,53.80969407731623,51.75577383586217,50.50357969366162,54.973242597335286,54.11047576382142,54.139199642478935,53.3194333938745,48.52746197178352,49.746547359533245,53.26469299936372,50.212403466774894,46.65055346767154,50.63707749078975,52.78864933659544,47.59930182228251,46.51258718311851,43.06387795537375,44.58607363486292,44.69222481769436,41.035662002630595,37.069208103425645,33.223751262141704,30.77937730460341,26.58979158079348,26.564022474647505,26.785828950588964,27.802459621681106,32.68930134238492,31.569969599082356,36.644514701655865,38.095914570326705,39.242146623586194,40.36216709523042,43.39629196324424,42.10402452670457,43.884712574385084,40.74439002700074,44.30985987307887,43.42342116958392,39.31932228382639,39.65069016952624,38.2219608444882,37.01135713043387,36.73525509686242,33.62292553440297,34.01217220025978,30.121339380361295,27.74309917790572,24.374431130723114,21.830736941397472,19.06996293321061,23.167138814823456,22.210148437735917,23.614192556404607,27.78630469380425,29.847865125829234,32.70007744010345,33.613058625659306,39.005004231782735,36.42064103042311,39.72177181470602,41.51658613481121,38.53412780883894,35.74390846328589,32.23906367600199,31.471867252492036,26.8917651060996,28.370704025346612,25.36831176208326,27.48671169304599,28.312859421957906,31.267283493927494,31.140070319240447,27.609048541415454,25.604411975640126,23.370958804969305,25.743631605719624,24.704497602931777,23.735333554971195,29.079546023741294,28.854348698922955,32.49054340273584,35.528619579972855,39.09267664570603,41.44581513337863,44.58981661215438,45.854193735977205,44.67102662380951,42.358251981962404,38.080295194144256,37.77526944339956,36.210947097284375,34.84607783629638,34.59321080080144,34.98316663187507,38.3313359007932,35.80966541289925,33.78423129772923,36.11414089091613,33.05677445283428,31.301776097005618,29.019886443847565,29.409813748633287,25.548776890616875,27.332269495376693,23.129413113840833,26.413615913869915,22.641104379677476,21.623391634488975,24.82484281530069,24.449221408286505,28.052805473778015,28.19070233807843,32.0451596477693,34.34563272465163,34.36824583180287,36.25911771902701,39.32346204729448,42.54767121068112,42.06515037103904,45.78869093169156,48.68670248860843,48.27487946522268,44.30156911565337,44.11361675259446,39.81667099151053,41.194004636035075,39.66814307822442,38.40717838310428,37.696929362053,34.30571878606635,38.85344026687365,40.676497057759676,42.19723448150603,43.25643875531806,39.89698639744635,45.41697486998924,48.38369673601656,46.02272473949351,46.94977603125337,45.30631012570653,49.89108205563207,49.33552558551017,51.6544350787994,52.61350199973573,50.900555977753655,51.34084977031026,49.50055373401188,49.92228889911659,50.851206109961026,46.29723073267062,47.120206912086495,44.89904763193581,41.79779193494491,44.52482692950181,41.121839200235776,38.279594105448815,41.15392447306186,42.201106766834464,37.399796483359125,37.35226199046241,40.69540988546506,39.60886482418418,34.97120185117199,37.290549347099955,38.88135855996438,34.517214620442466,33.88444839674589,38.201051215120344,39.35882801635384,42.74875550724105,45.75338199807599,44.87899781504668,46.83524133259112,51.6842998722752,54.48858641850248,56.328340230197405,55.23872778434722,54.41352292093912,55.933454060652096,52.73915446097509,57.35675589429928,57.544540195896424,51.72611748766758,53.532394796228324,58.063819891192885,54.983020975171456,52.23083898381543,55.13339185528015,56.964425662426514,53.09290787741555,51.06664375896752,47.67963625067465,47.59286754577732,50.112596833483714,48.43824198457131,48.40932789652104,49.59835682032989,45.84057681510994,44.40946579214933,45.59698512470001,43.5570506747758,39.70828974416725,40.75922202963602,40.74307436951157,37.69634724691084,37.2382441576904,41.679380655685684,40.049660123165,35.90390700535067,39.80169347448175,43.4301752818172,44.12272329334855,46.63110445472555,45.80423757275711,50.214681805851704,49.426041254963465,44.81836895653159,48.41560099589674,50.972966619950334,48.31539666496815,47.3605475843048,53.292732184242034,53.03194270243261,48.382563375999844,50.569347098226736,55.49111081466975,54.155808629543756,50.66658515147365,46.282846764224765,50.787753477334036,47.07102015832979,46.558766001176835,41.545579090655636,40.20573202245144,35.4492807880325,36.93331026584571,38.64479219821263,42.252618978186845,42.12128008360119,42.28016849938785,37.31139185846254,39.25227259311227,34.63534941245862,32.93620587347533,33.20522710590957,34.12260750971451,29.858123047128156,29.311293749930584,30.274889058924646,27.611141278810262,24.902265344119442,24.108761385916658,24.581755663563605,23.238615748902617,21.292821068113632,19.786948713842314,19.897931639112294],[28.896918384735766,29.090674109228242,30.305396479842372,25.836681053840124,29.00926642287623,23.789392612160803,23.116342412407825,23.57238715560522,18.896307504432322,19.05606694849519,17.643484588861153,20.022571384612714,22.667483209978826,18.922620860803004,21.31263697280282,24.510716418178866,25.39879649568881,28.062673950939732,30.716538507295922,34.193111649302914,36.83200340008174,41.38697380987376,41.88715523628071,42.1925687791684,40.35348942975282,35.8858041552347,34.88799782076841,30.7918348617076,30.172846783868533,29.50517561103123,28.067278047573495,29.611584962381837,30.68291869838863,34.05036643053637,34.156020701043744,33.438989026538444,34.383328593258376,36.297920049956396,37.664850475678534,43.934978377005756,41.52980405445285,40.44576866364964,44.52929187726488,46.04245281015562,47.72916688924166,48.86021973009032,52.264151726701854,50.672487764302396,49.25763538241343,53.85450746397198,53.467524092165235,53.77554434052945,53.21334204151053,48.28338507282288,50.16843529828216,53.36042903492616,49.8929864338594,46.83305184066222,51.00029941969635,52.538051728176384,47.23294221683169,46.48444538630548,43.38225438684394,44.33864268123438,44.12252253979154,40.74813876849588,36.306448847450405,32.86834106461325,29.67064415231369,25.91633344155775,25.172509417443575,25.29074734132222,27.223485316640442,31.958315205157525,31.65471840405975,37.1158647110516,38.47453707490445,40.280489525810985,41.23677481743772,44.00378225334379,43.04976822779059,44.490369054008795,41.85170915241711,45.145060118801254,43.68489200044166,39.762785109258544,39.88860293128321,39.25126731530653,37.504639521276076,38.08968171235116,34.60101759508635,35.13052422531299,31.415380336594286,29.53804343473752,25.869344481591522,23.692584115550602,20.52617132494258,25.40035561022581,24.56387416541843,26.881742058837784,30.131363585252267,32.25066067642128,34.46700624071692,35.239253245629904,40.07085874543431,37.1829024482831,40.78099366852888,42.084780552678595,38.92667527781272,36.56149318727923,32.61326757264435,31.529385419784855,26.853186548746194,27.58850574885651,24.454423428824764,25.796759751604977,26.685881214696767,28.767144303976707,28.95991014775927,26.14109863672906,23.577101913345732,21.541996792424666,23.228744674586114,22.680332176799972,22.27693591964671,27.671689880173968,28.250602399206112,31.87520738134892,35.16068864311106,39.14534802602005,40.940993545998296,44.5221022940189,45.362196434426274,44.71828460338179,41.68056264018513,37.38714848728099,36.59601633869578,34.724203943460886,32.876230276350064,32.87401244399247,32.397057782077134,35.69007310270944,33.59529933890733,31.923701492359402,34.61276209510132,32.22533155189293,30.31168562482051,28.774786647678248,29.6024528246319,26.064073722748727,28.51676090809513,25.007665526042054,29.092018811131904,26.07964503117181,25.030347696024258,27.593142766614697,26.406882224376435,29.793844402437557,29.420841481322245,32.836766981513925,34.204116601753704,34.24899839826493,35.21884032897069,38.67628415240934,41.2171742005931,40.15999049510303,44.26532300187622,46.73187016429958,46.49586780500219,42.43709786226131,42.717476158770125,38.43963618919021,40.346580513649876,39.357527830965346,38.57864926587525,38.490295251383564,35.22521609067182,40.259231111774774,41.37520774357379,42.979246715589305,43.27645073212076,40.14794272729887,45.40222929768681,48.08310576406513,45.39778400414796,46.375449299206124,44.5696367123342,49.04598019376173,47.82388726172735,50.44069357327278,51.21382929418492,49.91582455751113,50.2173335346855,48.48542783473128,49.101969853095845,50.0315762954388,45.41270258680059,46.677269265781526,44.45577609819143,41.829600093476465,44.79500018458926,41.84373903708391,38.59220693227606,41.1305785331291,42.74250682912661,38.02179208660745,37.051638769548155,40.825715621806765,40.56206316746532,35.373362695834885,37.369011374421106,39.44481505256005,35.353862532086715,33.932779653362985,38.259515446152825,39.041798967652774,43.03262069172943,45.147545694980955,44.73571177096296,47.106096943417086,51.982728149635754,54.985327368465384,56.81279448791831,56.12914083223364,55.199490030648235,56.92125099928468,53.788557471218105,58.21366045055005,58.12805452067955,52.11215367511696,54.03946172713169,58.253103854940775,54.87276150270272,52.134374938705115,55.00029538899651,56.404399211443526,52.40504111223284,50.39071069371306,47.33204497087712,47.773725993164774,50.59379345258406,49.301399846636635,49.696048842276404,51.34572353236445,47.63354550218567,45.664702419140255,47.23282775622666,45.66788329101923,41.43528668513474,42.188820588718734,42.74806934888983,39.84786400602515,38.79585292205952,43.42685468241101,42.20146419633613,37.8003027415785,41.25370244564793,45.07158545444744,45.353055557483366,48.01889895507641,47.10248443237247,51.38466561268143,50.41253142161852,45.46271027877094,49.05837653789606,51.38342236626049,48.511127750883006,47.32903062439552,53.3191577775277,52.74415940624479,47.8159255229523,50.00386993862735,54.929547702929,53.28758416201523,49.60055041966635,45.0778879664285,49.29407964793171,45.319510352932944,45.3331933228222,40.17010720867418,39.380718782849065,34.708845601314906,35.41219024780485,37.16332867674747,40.553943731072955,40.61299292282834,41.40981583246831,36.53136743353698,38.747679254316274,34.05859894438116,33.05999112824076,33.923517376243886,35.36265492146758,31.40359109678902,29.981181439144002,31.336238671436035,29.36957853344744,25.959555882381718,24.91575685510478,26.475651649163773,25.574695163177434,23.775570351903987,22.57038246726064,23.265591419219415],[33.423117038963476,33.68036368359509,34.8643784276148,30.37992788269535,33.34698107950882,28.063100244516328,27.07135188776684,27.167890273731388,22.39745420300839,22.07470244793445,20.08835855414616,22.25799200607623,24.954981857968978,21.11336373649687,22.59948271222593,25.94495823684936,27.121128106437837,29.147881693543557,31.631311063743194,35.224111937839034,37.54620145607806,42.17046345347151,42.50510497258803,43.051326997418315,41.52126296913204,37.100158404761544,36.44241560841263,32.56120702316073,31.715906979577788,31.144293505282477,28.694519452737318,30.82410395515323,31.30436481021421,34.31322192476567,34.96267026456036,34.40958125800625,35.85379905251961,37.83422650630064,39.51276632300488,45.80557029193807,43.34349944917945,41.76976106135277,45.75830687554109,47.47562018463625,49.03404930539448,50.41512602967971,53.66614997614017,52.06194457517942,51.05535775689867,55.69794217951464,55.09763753183181,55.55284839729931,54.74359835541486,49.94626454312774,51.512048518621825,54.48520573532522,51.017184097599355,47.793967949063806,51.73254902935115,53.32190672827599,47.886286252023524,46.68139247770126,43.490483478525704,44.15856445124841,44.40420124626052,41.2629710396914,36.52887351542713,33.21493450475623,29.930578442194538,26.128881064751017,25.325523806996937,24.747802851106346,26.71777393067308,31.49607910608789,31.488097720552496,36.52530418160126,38.52383436414512,40.12155608999599,41.55202875473051,44.62450460136293,44.06515218906285,45.92631153129792,43.51977213960245,47.08308881681952,45.73919357675207,41.56157015264731,41.223062751520175,40.408161658442765,38.26762043713342,38.379509263692015,34.67583434066351,34.57151657620168,30.993044248865456,29.391659944458603,26.26665299534297,23.598968311276305,21.112054168255728,26.28420868464793,26.04974293772905,28.57146643615549,31.746713768315566,34.54123679760636,36.55632829628839,37.94357524025749,42.93847984883049,40.40163014888759,44.119885746574035,45.66930228378218,42.735511363362775,40.145871407127395,36.40415153110997,35.00699465617888,30.337514343858235,30.886368025805332,27.288817244288428,28.615947841899334,28.927290338549266,30.74227398085318,30.295376536096747,27.555005033174922,25.24571391391839,23.720775715658313,25.914419235794316,25.810956946901868,25.83069708296988,31.2625120822229,32.18414045760334,35.58879484387316,38.92101108601888,42.67978875878974,44.80788095236155,48.296084681249724,49.00598545058212,48.12810102465316,45.217039838618135,40.81636699803885,40.42707900734939,38.26073981931428,36.26457852415236,35.918698745960796,35.231387358780125,38.12466651688775,35.76533510709692,34.36376763393791,36.78076286468838,34.40350793866288,32.83167158874894,31.361277838146183,32.48469563941591,29.13297188335938,31.737089616321896,28.071965268725858,31.91584117326399,28.795199066237718,27.26788340922941,29.913269863992756,28.80380361564533,32.512845282252336,31.786842250374747,35.732459911012626,37.094646696984725,36.584435398532094,37.87438217726402,41.02355408205995,43.74001365314623,43.037069560913174,47.1654405718461,49.64757769151589,49.70215040435695,45.691149330709614,45.94075687793625,41.56564429533131,43.16020667506805,42.100472586888266,41.0839867856203,40.986139543774826,37.380670131541734,42.370500881390406,43.5654531164849,45.41448487671287,45.866334736054675,43.13443508920754,48.45855184111273,51.14254350119014,48.46626867673639,48.995864777723966,46.88053069355644,51.364718541920105,50.28096310805874,53.16363966410859,54.169839461787056,52.96465620363445,53.542471768416746,51.98952366697202,52.752763789481236,53.88114154428629,49.36074194515475,50.68689273691134,48.63605037203755,45.90662584939146,48.98643426933273,45.92617125158389,42.74575804062246,45.476685646598284,47.03174935381376,42.29701830506002,41.5325934544044,45.28378879684398,44.84961433398908,39.80094867157832,41.87913040353566,43.86792700991008,39.70241847367329,38.440536501387015,42.75709482096474,43.61213475508165,47.50688538754584,49.75571559964854,49.2858085188738,51.59761100452427,56.46473224266905,59.43824133118546,61.25585654192789,60.45159550739083,59.49641271075741,61.11235663470622,57.878636535124336,62.32426543395286,62.39059389417164,56.382169601224554,58.178023455818135,62.48297030599824,59.20312889937824,56.37880450407569,59.14189573349912,60.7122522734415,56.77217131759673,54.55485547448431,51.60025304377653,51.783319245583925,54.60896012483078,53.35432464556344,53.544123821652775,55.1322274622566,51.280026285613616,49.546215954621985,51.15517195932151,49.361892577518645,45.23268580265077,46.222253258939084,46.63493570572336,43.6810901421617,42.878245213246075,47.480373276910534,46.11467555352685,41.81270242078455,45.43538614680309,49.19706302464226,49.60600462961887,52.202068634953704,51.25115882933554,55.57614964222642,54.71807251520909,49.826973304071736,53.363619496661194,55.79431152724972,52.980161706517194,51.76207724284915,57.75212689371855,57.27945703184552,52.360079619378396,54.46641814542408,59.43855265586162,57.86609446683308,54.17796658356938,49.673749914713625,53.904634076164115,49.93143762554847,49.968281134708626,44.80459333827033,43.98607938019487,39.308780071701406,40.0412219529436,41.75817141180958,45.12906497690829,45.122840829775264,45.89413165838799,40.92007634526035,42.96697806131729,38.207893993232105,37.35183063244711,37.97706262154244,39.37185258968809,35.19896397055512,34.100114134594506,35.5287446874571,33.306736876475824,29.942577593810366,29.192062185045735,30.430202057521377,29.274264136849677,27.28701022237352,25.858305857162552,26.167914794816717],[34.50581244622042,35.20425604422297,36.980707079843526,32.901997067592944,36.17365884924924,30.648400620902517,30.120755544911788,29.939000699021165,25.360474033044976,25.71297679595208,23.627011369728635,25.210633500221164,28.620136681002617,25.177189745177298,26.458066213734387,29.692399491216136,31.30212925593827,33.417591204916846,36.18416918522151,39.61393875264812,42.03886811176493,46.617363434704565,47.06804428153324,47.74463598610964,46.147232571470525,41.755852078829335,40.95333573290785,37.02345663254068,35.92080016380141,34.98178973411648,32.413865760313534,34.1660772341069,34.30125427194552,37.498870089773895,38.42791571649341,38.26409395701271,39.52021914841294,41.95774256163258,43.74065705028035,49.96056239893614,47.77529605346878,46.18760104134466,50.087041900235384,51.952056145223736,53.63227299918711,55.07620488640587,58.305052326047566,56.57399963373987,55.5778426916719,60.18091017177371,59.44713664626632,59.7798900490379,58.89393876968348,54.1335633806198,55.438593885878845,58.57033770254426,55.2690130247642,51.834686543526495,55.6886770579389,57.539959936869245,52.13551138721017,50.74388015587602,47.3918909661023,48.23317682692654,48.68301333537862,45.46489616405884,40.861500031479494,37.41736860426168,34.374987659110644,30.421222128148695,29.833372708246614,29.151303241208964,30.85103744460749,35.685972379429295,35.439290955005944,40.20525069372288,42.38892878313145,43.63341502078354,45.22252840542114,48.454959210643324,47.739655759574,49.752636921817285,47.05400801995083,50.720355487595974,49.63423468314083,45.411930178983866,45.221029882578456,44.030788840214406,42.15325451761813,41.795432580885596,38.25974390688535,37.94995680412968,34.315915240887165,32.49375841378696,29.607633738013803,26.672007403059702,24.467875727310247,29.20255287851105,28.83174689906793,30.627218688624538,34.515602231656835,37.065003095922755,39.59527908512742,40.832585488943714,46.112125612142464,43.54411075905093,46.99490333845865,48.65744318913962,45.60396406861429,42.962242855296054,39.28394151922457,38.33676595188781,33.68588491199414,34.68725751853049,31.34478699466759,32.931052239182705,33.41124701858016,35.477307382488874,35.04648615800661,32.122028598134605,29.9154171317964,28.237499205677167,30.444718244384102,30.051637276137917,29.667109612194963,35.09257226370394,35.41452177015135,39.04986338735371,42.24142035744534,45.99515738605026,48.10618326972395,51.47724453612374,52.509866120353045,51.55177363503472,48.87516098172598,44.542608826686326,44.01781239168587,42.18164137758003,40.40169059782992,40.18082761062427,39.75432429586331,42.79876805166336,40.430781007006544,38.88006249192214,41.28234767891023,38.6830149236076,37.06430315764457,35.279370085678515,36.090003175549754,32.459238656783555,34.584913849888835,30.534107683052383,33.901606764774364,30.084801042601974,28.973415179768406,32.1376066093007,31.592416235295595,35.30471563785799,35.0500354392149,39.032651524028736,40.872270860951296,40.55378340451585,42.100415997443676,45.216899358830666,48.11979532129942,47.4398438822616,51.472492122026864,54.05944224979277,53.93334531667935,49.90846718066254,50.052224632005355,45.7106687590958,47.276580584371224,46.03155079051346,44.884524647655915,44.4754310367033,40.90076745207582,45.63568188733556,47.20745921543962,48.94095850627003,49.719785698972764,46.699281488218816,52.130173811537524,54.948054164818736,52.39626103418529,53.09670344281237,51.13135244898635,55.65971124268727,54.74366072264186,57.45844674513668,58.426679861537906,57.045543655439445,57.52242648232303,55.81325870713709,56.39414222986191,57.34571762675426,52.74456632608119,53.80787542157341,51.522555414298445,48.670055563518794,51.40933635714023,48.183689496095624,45.192254063902396,47.78423702940124,48.99340723971925,44.19775029228777,43.64782486015523,47.07683297806965,46.25612830552843,41.31000444207337,43.31536438556849,44.95572375087265,40.667969821298904,39.56193680897163,43.683653277382795,44.90559005457102,48.42740133683195,51.283246302919686,50.83907706288067,52.86264854212048,57.86861809087717,60.528811604719984,62.623904783297576,61.854131512172806,61.17633006061335,62.883950135058406,59.8302911936998,64.42543116802005,64.40640664684508,58.55744973749629,60.527764739619954,64.90445236214009,61.628419992827894,58.96720301994973,61.92659672330081,63.45212441931116,59.458239714040744,57.5865032095967,54.29175412886053,54.556826520164606,57.177441400953725,55.55507484718512,55.704105686885555,56.92562773674083,53.24732632704135,51.676210227375776,52.80172496266299,50.885223284801185,47.01848746587978,47.8497673555485,47.821338589863274,44.76653710426548,44.121902335663705,48.474133390420874,46.771211296298915,42.47656092765846,46.21092662003723,49.859873640161595,50.5911385709453,53.34179026308338,52.721393019959905,57.09621523672429,56.00824411524365,51.3911089563141,55.180050135406745,57.49057215245986,54.65801736350931,53.84136611493176,59.78645035885138,59.16942631924254,54.45000796442207,56.849524080355465,61.66831228280587,59.99041758212702,56.41903808226127,51.8865595944985,56.06977917989046,52.06727954717266,51.71379457351081,46.71456784759636,45.89781839541951,41.15176545957986,42.09322665577985,44.078197808347106,47.57730993584505,47.78574298908259,48.38319084440688,43.593697362477705,45.81462447540967,41.18671093548595,39.6434653762615,40.26212659128046,41.25696467783893,37.15027393618515,36.28099120243566,37.09695389716409,34.66774505689629,32.01472538107525,30.71709730289408,31.378372681285743,30.3612439800907,28.589004235908487,27.157813986969746,27.250906734830135],[30.40244729903109,31.16830244608745,33.171142433249535,29.17199740866018,32.81934030099498,27.441168607841192,27.372893768500898,27.615334271958286,23.184724947626957,24.02428785969449,22.49964002041747,24.28852885184221,27.62007773001999,24.21096480563102,26.305871910366033,29.44621297464254,30.726199833086092,33.366873595649174,36.17039722965464,39.58441874922777,42.2293924507337,46.78244876913381,47.30623802779048,47.709536635899234,45.9021009312072,41.44859906789327,40.423790511021934,36.31818652825131,35.502804460352365,34.554544121113956,32.862360469774124,34.17716860107619,34.855829921173765,38.35386666041142,38.793006534715325,38.425934285408644,39.27804040572485,41.57384532050702,43.04400214962667,49.262892663771076,47.04173773849767,45.90603420227213,49.92499307456789,51.55314443444529,53.28808542436962,54.464544735583885,57.84649103137421,56.198935683791696,54.81497530129177,59.3907311541582,58.91679548628321,59.1500758443879,58.51929655148714,53.62373092588846,55.28580372503928,58.58048029517772,55.229753542930396,51.99301877436665,56.06948687922608,57.80641015511046,52.4930626942429,51.526525587988054,48.28133827832549,49.292180342266604,49.31948333122491,45.93725472317055,41.498255402587695,37.995473755176434,34.907620718279325,31.029681368256693,30.382422035180287,30.199402086441598,32.0283396141073,36.84390319563135,36.472785324976,41.651731333810524,43.31592820974857,44.80753737487279,45.99046257964755,48.945108041011935,47.9171588128308,49.53044210871998,46.65705527680532,50.055435183644775,48.81723062793439,44.84572166894085,45.05133017349817,44.084426734511744,42.49611508049042,42.61623368015783,39.20991869488435,39.42981677818168,35.678484168805554,33.66067448037442,30.282432832500184,27.74564617933176,24.940674299894408,29.50702537398848,28.608595807187683,30.20965754656917,34.1952155919194,36.097049278828145,38.826849834938876,39.44933807681283,44.5466722344993,41.6007428303418,44.911763057085956,46.28204954045831,42.96101821312357,40.60241733443686,36.686581509695685,36.10618528710033,31.46943394832157,32.620450599868015,29.742576657205074,31.24784730569212,32.25052531701492,34.40063604852608,34.55755637377332,31.67980092731068,29.189517857816178,27.129496168462385,28.783879061630472,28.060441604468515,27.323691894923133,32.65660942770811,32.640796097218164,36.514665475882154,39.64831359516413,43.67052644112935,45.34983127232908,48.846866605322354,50.003549425461365,49.35016150744576,46.48843542811219,42.290248337375786,41.26800055607411,39.74142038112727,38.06565282452435,38.22988401333536,37.86995196937672,41.260816043366226,39.216356617226275,37.48562818692359,40.17625133912731,37.6578048023723,35.71635878514049,33.94559389435823,34.49737900794104,30.704706402422932,32.66377898502624,28.767784343243445,32.34308648940237,28.534255511224313,27.98186126289395,31.118830640744694,30.520994309180246,33.91016832916388,34.002520123079606,37.44244222807237,39.23470731010478,39.45164098934873,40.60183053887458,44.04363693093133,46.69248866196954,45.590519281261514,49.64292358607433,52.13971799821752,51.74667389631657,47.67523972974134,47.91737356630444,43.69620519032049,45.630876057464945,44.51188968605248,43.6373250239396,43.27700340451239,40.038278179386886,44.83792419555294,46.296459754511204,47.7973878053609,48.37100185108138,44.97460779354261,50.30363053841458,53.08883173178591,50.50308948794473,51.6554734517703,49.971397050226045,54.47286625721564,53.33735132582457,55.831204774246494,56.54031850239812,55.12146707021183,55.28937295727276,53.403103007909884,53.83719560576183,54.54990282825549,49.83779490357938,50.85237841793197,48.341266493820534,45.65833013212005,48.217890593981025,45.144033107215805,42.074753373129035,44.35560131340759,45.61462275443023,40.84016060799256,39.97654030028495,43.3901038692182,42.77243359014354,37.61861324010026,39.43884424376316,41.134440201082974,36.934851922642146,35.5587063358953,39.609177667434416,40.81937608470489,44.424403707637246,47.171002051139915,46.902519146293706,48.96802455584039,54.03651437776789,56.65447803568742,58.85488437290997,58.306782539025754,57.72647407621861,59.61024940677426,56.72989367985098,61.30557637080314,61.05371240364366,55.21578456312077,57.39188850208813,61.62624528857735,58.196106391334375,55.67989525202465,58.78384364188345,60.03911228749858,55.95267073760271,54.39356668509763,50.973813823671975,51.62164444499715,54.22975776771066,52.537862731491806,52.95762721649605,54.2157988238345,50.738056784389556,48.887200727378506,49.8925360904239,48.25421565129443,44.299309173673954,44.78914103079789,44.86974887522234,41.86090022212187,40.907445054763414,45.238066927424306,43.637199970917976,39.186805325180906,42.704017882273995,46.41129008463139,47.04446902143702,49.95348529382088,49.46321780879677,53.782287547850444,52.4640051696715,47.816191546327346,51.74471173018866,53.856329489662045,50.91706817794833,50.22850923990818,56.15731967514441,55.32045538520732,50.610352923988884,53.18450647772785,57.89319210511304,56.04523177288016,52.47927777909739,47.901544934467296,51.96886559832138,47.904903303206865,47.50926295578214,42.554486591029,41.900839035952835,37.17195143348225,37.982038526473765,40.105259289143916,43.60142987676405,43.99582393315968,44.69753859816313,40.11102757963765,42.597808532659485,38.092021586175015,36.32611154901424,37.28285942184235,38.28056050260022,34.46977462836438,33.21114942593045,33.8032302564,31.684132394256093,29.129181266167315,27.294016860777525,28.238461360236574,27.609192957657328,26.116464012399412,24.945747911135864,25.42316573711241],[26.90058793390126,27.8786393945118,30.166157375801912,26.615148005160297,30.288036115662468,24.713102149507638,25.078109152885773,25.09563998814237,21.022063024924545,22.68412555108703,21.364735730546737,22.665584810372486,26.50271224482189,23.678509060657536,25.991802501640493,28.857492690825172,30.383519083193526,33.476900369467664,36.73639528250428,39.80928789308462,42.81491876905359,47.221155877641436,48.05492897116431,48.48347773175994,46.32407073449378,41.92095112653207,40.45567350789903,36.20792947475884,35.209635902462765,33.82669628661951,32.74490544950638,33.29258376006196,34.12269960375963,38.01000926010708,38.248205951819635,38.11618554723592,38.431964389870316,41.11829186547915,42.499698125024494,48.56169050946379,46.741936426877416,45.90754369113741,49.85025933163483,51.521227328107045,53.521103404380455,54.635567323129706,58.0633236333095,56.221748252686666,54.60235573592298,59.0654481902043,58.54073468966607,58.527183384357684,57.972024032208985,53.05938523440581,54.64921261971085,58.2523921540488,55.10763122135757,51.7756959266052,55.92306915400624,57.89893914331812,52.75382215432368,51.96945133315077,48.64267082748853,50.108185104707644,49.951730238304286,46.28880048472374,42.28415897875637,38.53531334477163,35.844822054862874,31.839415471854434,31.531058278696054,31.834642973511205,33.26075027880196,38.09546062734307,37.18221437616633,42.45838983600349,43.713409303194545,45.0488481734343,45.96038757633762,48.7988362642973,47.32263601836497,48.763226464518354,45.48409689929667,48.773438169183486,47.7276534411087,43.901858009544824,44.563218499334106,43.36825804597138,42.33436193253037,42.4048259015244,39.346050294190405,39.9411999834239,36.0434198184777,33.63349930376722,30.05193866172159,27.728357437152553,24.689388235163747,28.603009772953527,27.19896430484982,28.109785410694414,32.581943980941745,33.83637125757676,37.04872314873333,37.18903812112834,42.38555321553601,39.29486903826028,42.29618294877407,43.67703323461062,40.23808191278156,37.902846360136934,34.04952804542524,33.97626398704635,29.446669787591656,31.130185484833035,28.765309983318566,30.61148935619544,32.02702526516795,34.731901677957225,35.213021289682665,31.99971610535253,29.5941386196642,27.11231268751318,28.653148509300237,27.36862815875811,26.012045714391235,31.19381258598397,30.426069359699028,34.490702899553376,37.41624926479904,41.412907444999135,43.032154559165754,46.373311635134854,47.875503541565976,47.176358578094195,44.58138741043744,40.52544267564918,39.36148011186303,38.28463844029911,36.98787259620283,37.33473374801773,37.544057183369944,41.25225672448622,39.238936070439394,37.15595698777876,39.87563427681312,37.06870885169983,34.94828148688944,32.799485342896666,32.87773485863852,28.811454748092974,30.231968557500227,26.167692650408835,29.44524382340561,25.297693368824202,25.324074022575438,28.703984562738658,28.496997486109006,31.645482074860986,32.324159107107754,35.47011807528232,37.715696218027354,38.38922224422484,39.69716211601381,43.180002818283555,45.98509095825848,44.861408351730496,48.69255633340267,51.36263669717869,50.639341723998854,46.58986048882777,46.637786455787996,42.523337328500574,44.462422797592865,43.1551531085397,42.25582194417237,41.599323896334134,38.61773579884601,43.166398684638224,44.900101587675366,46.141081531648915,46.95593451000313,43.12225289230106,48.484153623081355,51.39279483469903,48.97387772819889,50.48175260625716,49.14012525268073,53.66318575262439,52.73176038747698,54.85405028443788,55.44974599624149,53.758341085563735,53.74589123279371,51.65145810456593,51.84700090640363,52.35863732143871,47.60286358572253,48.31637729102273,45.624562473867265,42.81474414047047,45.081467865832344,41.88590951202327,38.99290289005052,41.20235965680538,42.17647803767894,37.38496589810218,36.79871455681438,39.94668094379476,39.02452850687407,34.02590715243272,35.88870396549396,37.351427642781495,33.06930164022266,31.942795781648922,35.94313692308724,37.3535528960639,40.67636840584319,43.85143548836381,43.43112288395079,45.29190012757315,50.38410031034116,52.868001610488115,55.1417581269421,54.527642753733716,54.077838982992,55.9825618870645,53.209416718736044,57.8707198989931,57.589466760398174,51.87926200798356,54.14795331568271,58.44434412487857,55.06964929515782,52.66311262858838,55.89930762962898,57.18758129415978,53.108850405605146,51.79249538047679,48.08564068026938,48.741167163538215,51.160376191017136,49.19849935859196,49.60523492152534,50.63448470085482,47.31286484424292,45.529442453467816,46.21858773966417,44.55879854040918,40.75633479323443,41.11755316186926,40.972017015639494,37.93225701698797,37.04758281390291,41.24642868052902,39.513292720432524,35.08549756190316,38.6666647697713,42.31292165973376,43.09131839313924,46.030030521140105,45.6910392620218,50.02992367076948,48.63902968884586,44.162000316819565,48.19406739186465,50.28238456130734,47.38831410075873,46.92566800579252,52.80328176457596,51.98767105533243,47.44901428049525,50.14976297499314,54.771345933822005,52.984381853061514,49.54181087069791,45.018477859172336,49.184108067590664,45.242277216155344,44.50028386565397,39.66469765844644,38.787131037970134,34.02508858397104,35.21621300569897,37.405911632527406,41.03045686571199,41.440926295584646,41.83644049985417,37.36419697323755,39.90188686814786,35.55491470860298,33.20376663312054,34.11134091806072,34.812307626562124,31.120256522116353,30.01074171604706,30.178022904479587,27.95570017541035,25.909284897994713,23.72920232931287,24.308730438041188,23.80874579474304,22.535993506682882,21.48532542015095,22.031962421572285],[25.890860242866573,26.610658949568986,28.750359576634388,24.74744922455003,28.827062842542748,23.799469907166838,24.242099597929787,25.14605893001717,20.98287144854839,22.240589953396192,21.51639980036196,23.63344337731735,26.567201563399315,23.20764027946234,26.22538812613971,29.191433743064824,29.94335336165094,33.08970407041577,35.791586838258816,39.17671023910013,41.99019820992775,46.471381518594754,47.03024343479984,47.08798664389063,45.093885950068156,40.619534376669215,39.405596608821476,35.18034190447243,34.786794014960066,33.94957787917608,33.28423936328303,34.19764238543712,35.5300655339989,39.231165261899555,39.07922690804712,38.39717079072099,38.84281846718118,40.81943669135432,41.88370511909946,48.05300065689817,45.73046928092431,45.1235285958372,49.258666915244326,50.56263490207384,52.30209481578269,53.145844523109965,56.681209494144824,55.1834204619516,53.37060488103505,57.89386758263947,57.75741900830234,57.915327333613256,57.59756262147101,52.57784183452836,54.69803378990472,58.100709400589004,54.67228875107002,51.73959440310497,56.04481770180175,57.5692680719725,52.38951742619588,51.93368778589282,48.87725860937484,50.002282574285076,49.53221919878161,46.038325476544735,41.79229734851145,38.32245102730103,35.17483191149021,31.51188930591515,30.7567793656357,31.11748850648409,33.10880848936592,37.789739328943,37.36743131015042,42.951915528000846,44.01984505770831,45.84031493577459,46.549103594926564,49.13633553123647,47.82689320473548,48.94483556039855,45.98775307454771,49.02281914749155,47.550626726814365,43.92042411680779,44.525438568416796,43.91759560529394,42.5917222123803,43.33818660296387,40.07084236855073,40.87334190017893,37.07873702743909,34.95796977903916,31.097653509372087,29.096840110993195,25.7065431163435,30.05815667737707,28.64865672092001,30.174533395656592,33.99772436549434,35.19433333856496,37.97254116478653,37.9114368153174,42.65175946779805,39.28887822709103,42.473049657141054,43.43647569779875,39.83713041965819,37.87531349487688,33.67692741966067,33.443557175722745,28.89023139753714,30.077786930701784,27.77708860959439,29.064044927965227,30.64443773091788,32.76133656949996,33.60946034990121,30.912487462177676,28.1256237110287,25.713750115019845,26.61197334486524,25.56870893085086,24.503090674054818,29.61549863739511,29.33471488598831,33.41019456330392,36.4799829872828,40.81205972402958,41.93211179018431,45.60569163947231,46.81367369200573,46.569191817860336,43.42461682630807,39.409962655403085,37.79305828521278,36.580363309631515,34.986134337932015,35.60736341244729,35.24360676472418,38.97248627754969,37.35760175874112,35.48525115721709,38.49071144121144,36.17619712834854,33.893089245338786,32.26559510894657,32.58069546942467,28.74011410442812,30.58856721495409,27.07779766542159,30.959799951072473,27.437462885112712,27.447466918609102,30.33653305766015,29.54167948557135,32.472907234889846,32.847846271715426,35.56985823478185,37.14088157718751,37.942939177946066,38.524621003136275,42.32550068811705,44.5846838134812,42.96885001938433,47.04491866135131,49.37729567426625,48.7159109668765,44.61678611037843,45.01766107655694,40.971528826192284,43.35255657148082,42.453715112525806,41.95216493713927,41.74216156612233,38.927658381298706,43.80975574269585,45.019017445716464,46.26804818880174,46.501981385768794,42.772210426603834,47.900680202365635,50.587031138534925,47.940896226964966,49.576421521463615,48.192057380563746,52.611269606532424,51.171452186354834,53.43977059502333,53.842497507056024,52.44269203084418,52.26359622907692,50.21622721215066,50.5210640519278,50.98338475739299,46.17434559505328,47.204190154903415,44.48256014217661,42.0714119210143,44.487291159662746,41.67541829736685,38.465794377632626,40.3629253748528,41.788134217826716,37.08446951583064,35.72899143852401,39.210135913109966,38.9860429001756,33.5434938718301,35.11862984742398,36.992389922234324,32.97219769576819,31.169721294545038,35.16465916532257,36.24048775359426,40.07097975436842,42.47583009715945,42.444819751455064,44.650222322245696,49.75027731874822,52.40002873540055,54.65396938702711,54.38434079167823,53.849694845052824,55.925131981824386,53.22022099328397,57.71447750569044,57.194757281220554,51.33984049265647,53.7204563125721,57.74201349380735,54.12130556901951,51.749373378222934,54.9705343566475,55.88938015449303,51.70755705679442,50.45293067965944,46.9865979987754,48.101848818374485,50.7429579654626,49.07775315495543,49.846563046092704,51.247731691306754,47.98687382495563,45.754061624353774,46.741195671265395,45.494307438488875,41.383178067201165,41.480712059925175,41.826821154220966,38.92860426926043,37.53697764384474,41.88373711387736,40.521112384465106,35.900065043509095,39.073171034769516,42.87023356371709,43.279218851649745,46.337141593564915,45.921154958897766,50.137197926082024,48.59324783513377,43.84045944855277,47.86439735838645,49.7458475569751,46.67817127879395,46.04058411222711,51.94857850009053,50.86572028413398,46.11365593383728,48.82832540576366,53.43115099538178,51.38862333518139,47.79614259793586,43.166983184919935,47.08469032100763,42.93866435047013,42.612189802651585,37.66789700132788,37.25275595401225,32.57849773380075,33.11995842522798,35.3573897973909,38.80312745198948,39.393437975794576,40.29774877270954,35.94712496520526,38.72980615946969,34.374931829388466,32.53450106930357,33.94279204829932,35.054517154301045,31.652329622078803,29.821696239483792,30.28739723889041,28.677262816958446,26.081673191431765,23.688159516939553,25.201101100324816,25.06858447617712,23.92098904542569,23.130051568300434,24.150538985972773],[22.1759858176623,23.54672482294224,26.553407000614474,23.557067226501722,27.88380362287287,22.733113144757837,24.124336436155037,24.708235990424736,21.332080510353837,23.85247540041973,23.405602543014147,24.67344064677595,28.33754127045659,25.881135509240117,28.978102550445506,31.542901590877857,32.69515169409268,36.31919209625696,39.57232817565774,42.50390566721661,45.721459551513774,49.99797711907233,50.928946984969315,51.04697682357995,48.656565129607294,44.28218457243466,42.54307203674202,38.19100052575604,37.524111203842814,36.08277485703606,36.073844358994485,35.984859403321515,37.35123779852663,41.514103848607434,41.23629977717246,40.96111894041042,40.71385982335284,43.269196438497055,44.237163985053726,50.13525976929335,48.38934977539307,48.15095014466429,52.14440766215626,53.523413709215546,55.591176237830126,56.358729174312266,59.9287524634963,58.18873436319719,56.09048865362533,60.4381104740048,60.2249078678443,60.04407083374007,59.8120812003077,54.808017348693724,56.760927773777034,60.566929355240966,57.45019107655546,54.36284478154081,58.7023542942168,60.577229207152136,55.624880534185785,55.3170594106927,52.12923485497708,53.80265836132758,53.20521731691773,49.395030120863616,45.68603229316425,41.93356206530874,39.305964350694545,35.4855789866756,35.15185479001676,35.92672559319543,37.41958218080352,42.12449112928227,41.06768342000362,46.62501526302577,47.3231093721274,48.836410484001874,49.29794872922717,51.79124751493404,49.9149647896203,50.85897145801213,47.333690590295355,50.224233742213634,49.077259033474796,45.66303479417825,46.86606546899723,45.87660011577247,45.29437280272546,45.81644665412032,43.01635932572346,44.13467391445984,40.19121225049006,37.596409997344715,33.658918264019626,31.80880908153719,28.349625001847016,31.752248067548145,29.739684634886473,30.10938700073942,34.71154803357099,34.934224387089046,38.48009267694886,37.68465053841675,42.556681105090064,38.980538219454345,41.57214122267111,42.51139926085536,38.68489382295768,36.847653414638366,32.778487392154794,33.491932449590315,29.21075267133325,31.22371084145546,29.760556194341603,31.48313465109477,33.5919490685815,36.35919084655969,37.56886841808177,34.49590723588921,31.87826211854607,29.018211544566476,29.74036262027778,27.969225374845767,26.017149917384955,30.740844445630366,29.197097056042463,33.56875094261537,36.23229717132106,40.52361435479487,41.421582207300155,44.83233713823961,46.63386421939768,46.378988492036896,43.65939060338417,39.943870940552145,37.99419711391937,37.57312368169886,36.57130698009664,37.51548573813915,37.91254452798305,42.03419003123404,40.51344730254335,38.21088450644735,41.22595074187005,38.55059061316783,36.05709121754066,33.914221105733354,33.50917417804597,29.308489923711342,30.200502571362037,26.464157941771994,29.666010205624662,25.502814111844035,26.568123091968186,29.878366523099842,29.81201386235033,32.31993996822784,33.63691154389567,35.881209878582396,38.15260819945766,39.62378368619968,40.42692748821054,44.2489745791233,46.695831044050294,45.0161110350459,48.75175765782643,51.279472193055796,50.11663509607273,46.079183924674375,46.227008603928404,42.40387469437734,44.81120251395803,43.65064087687037,43.11497425353563,42.43778182571852,40.02574518100044,44.444437043374386,46.103425086957344,46.951550169153585,47.57226975654996,43.187732302177125,48.31388530007324,51.16785554927242,48.79472535266307,50.98111061369945,50.10774696773239,54.52396469706249,53.362035610456125,55.08110881196825,55.284825732699126,53.499924981194326,52.99948669319837,50.6160083348231,50.51157986534381,50.5754483370505,45.697981841425346,46.201685822961984,43.09201425357415,40.55453187001871,42.321012166606565,39.36024684122494,36.49659553385394,38.06523920210994,38.93055243447767,34.24226069296469,33.24080820770992,36.12623480217796,35.37067205028475,30.15631555159484,31.60937353240464,32.95425523721219,28.835682596173225,27.32172326256939,31.02160835346149,32.603678533702386,35.830022258498175,39.1165076475619,39.00796675769589,40.770335009294,45.99408417347086,48.239614970229546,50.80500229477364,50.578363221825136,50.42329768233561,52.63976092350072,50.25995863337097,54.90606226761941,54.2152205195893,48.65648702813352,51.31090370604159,55.365475108309404,51.78225941595352,49.71187259026873,53.22656061938794,54.054222070776966,49.85020108883073,49.207754053074005,45.19782308360688,46.49406184939807,48.76230671330689,46.55115869317036,47.37120173191646,48.28196851182074,45.41489600834671,43.2835034986471,43.541039380295615,42.316090429868225,38.568508657547,38.269510861175085,38.10102765060935,35.15729614490246,33.82564336845083,37.78097371556485,36.09026610151774,31.47010105169366,34.65001552207479,38.29402601222564,39.0520671801041,42.30556330114791,42.35282383552368,46.56626594355538,44.693538730659945,40.351415695123315,44.69158811571458,46.366900318755356,43.315917001264395,43.27320680087773,49.035172613921304,47.79813122441502,43.42183305631305,46.52288499784912,50.84446650736916,48.74961272891514,45.40915807634583,40.85223473724679,44.76294931188557,40.75557075528528,39.731729727766584,35.121028458720154,34.522584285792064,29.839390289684165,30.9180041902022,33.44847818600427,37.0755381547893,37.895666235655106,38.35571140338619,34.417056439034106,37.41813815650751,33.46261507037357,30.45486183530456,31.910642183521535,32.39217291511158,29.38425241000492,27.756645053695472,27.176394197204853,25.5062848112236,24.141661988057656,20.765626886895113,21.520347263524982,21.88200493160131,21.350201217080333,20.877295400510206,21.974597110175704],[19.116074322898896,20.719453446345266,24.147990581280492,21.595641819357947,26.23189762231123,21.468029038044044,23.47183046857834,24.381021374475484,21.546559414086413,24.500073554523222,24.565393483374493,25.77603403241523,29.253556305811937,27.086526937930184,30.557969577128087,32.89997307234145,33.833177015406854,37.72930622715454,40.97550332376434,43.772205808088295,47.10907764304198,51.26837282267121,52.27441875545686,52.22141631880935,49.68532736747021,45.36868203425706,43.455110225492746,39.08283559524874,38.59775464844268,37.12257772873689,37.75510689969354,37.28346919346871,38.96162221636441,43.251267839066465,42.65921770166263,42.30396245001821,41.713965428351194,44.17896362244872,44.894466141583784,50.64048662608153,48.97478538180913,49.099372069286275,53.088598106021365,54.294349050021246,56.41106393545989,56.97356160925485,60.60775751267967,58.916959233654836,56.53913869966792,60.787466225018065,60.75107033392349,60.45951719054235,60.420574576455024,55.390291028121275,57.54485869855064,61.46385926787918,58.38851842464411,55.457640767782486,59.892229863622724,61.70955049157491,56.90408882620625,56.889028685498815,53.79640714796794,55.6093898454065,54.74483261538843,50.85370268067144,47.370025489686725,43.627517770623214,41.088480634811255,37.39946802089595,37.08473271183938,38.15278081281551,39.630694642957955,44.226587858356375,43.05849130167015,48.749601168546405,49.09311397138782,50.70139189125406,50.879842222204765,53.146595432194246,51.03131678415051,51.66589391003935,48.01374917539852,50.63959439855751,49.44358807700132,46.305045240348726,47.83211651461104,46.970058765581356,46.67299027101741,47.463673579552854,44.84432937700976,46.281384070645295,42.333493684538794,39.64516632753949,35.530844246226415,33.98422462353034,30.324671472878666,33.38288072018716,31.049265228306247,31.128976128464082,35.70422349027104,35.31481655582125,38.99809051595492,37.64920005731992,42.26357862860213,38.43079637679982,40.74907483719351,41.408648660446836,37.386036284023625,35.87506746572651,31.728956327987696,32.91601721599349,28.867766963179555,31.058587651823334,30.175029223252892,31.820302375697064,34.31060160085086,37.127922876745814,38.74491293947975,35.75699981556472,33.07557955639984,30.02893145285777,30.2850361911921,28.230534830955815,25.938757171717562,30.270997938391684,28.250015811848904,32.73445859567088,35.19374320540723,39.609615808643596,40.0683717354826,43.48485288582031,45.459095766169376,45.46705382963818,42.707908369884045,39.23685992161612,36.84494824705584,36.84257873604037,36.05909400366692,37.342523128808494,37.89966863891444,42.23081691340862,40.999330208140975,38.568598626385594,41.71263017497629,39.121146089955246,36.43817025645937,34.309571767920474,33.61143285701774,29.404402513509798,29.959995484159872,26.51802821722546,29.63057620717481,25.60340365169919,27.233664941213853,30.401988590082027,30.39582349891633,32.47310074636373,34.14360853807105,35.810745150517285,38.076031798518954,40.01341117323304,40.52523427840717,44.50281585493494,46.73370760604895,44.755356167670904,48.38332904618139,50.827462071725876,49.39653545463943,45.40188695196583,45.58738500256138,41.97618593099624,44.626838876943424,43.55274418871203,43.23503301871756,42.54787313936441,40.50558997024206,44.80398764991704,46.40117444172936,47.00359467140833,47.50758425165881,42.82455092381254,47.765761475881106,50.57066354325061,48.24961150330274,50.831384866221704,50.254851349122156,54.57932278729087,53.31094121170713,54.76025071656119,54.73341402746784,52.88688869177244,52.09824452599594,49.55182106039482,49.261366513518134,49.056114303000896,44.13947404801177,44.50355388162216,41.165413606299964,38.80912381070758,40.26120189750938,37.47087371623384,34.64747380333541,35.812596570331394,36.61244557871624,32.029990549357315,30.778999349119772,33.48319968295265,32.855989929473544,27.54285849840995,28.730517385333147,30.01336280134314,26.038220870387025,24.27535430679409,27.782752080247203,29.44501800602029,32.61709417686796,35.93749280648552,35.999850988371826,37.70956018509854,42.98642505563428,45.10941849062715,47.81939033221172,47.815432803338744,47.81654897456481,50.20494725028043,48.05967813952524,52.67051559522634,51.74403786578299,46.29070085812506,49.15628466295421,53.05084230648362,49.361015882487884,47.49440262320926,51.155637061495554,51.71629687107217,47.459254207902156,47.21511393267877,43.04366702666723,44.710008421639024,46.87677945721016,44.53967142940589,45.608855624431335,46.46547163849462,43.88377411334293,41.541983296481334,41.562678604982985,40.626897436631204,36.922709120902944,36.223290845001934,36.08100558741818,33.23476870424504,31.612495891452113,35.40634421357967,33.79442657376494,29.086933983437657,31.969395002893382,35.60509446003583,36.31105722052722,39.72930094069957,39.98609590081306,44.09860130100763,41.95929532941499,37.698919305594,42.19046148342107,43.61894147061974,40.488228190612475,40.68179625772534,46.35248022772566,44.88392186470831,40.617265091179426,43.932907371965946,48.06703590066476,45.81353157470321,42.54769942040888,37.9968066205793,41.76277062395021,37.75130469888806,36.54989968558122,32.0900760228024,31.63537312516233,27.03485047495215,28.06875277804235,30.777477437451044,34.38923873197037,35.43403689734492,35.90493823044223,32.324149776971524,35.57131131441789,31.905589557389913,28.524825709809402,30.303380375428127,30.65771887815389,28.129583608556786,26.185108836829205,25.158512183081832,23.90113368438926,22.970449182615116,18.927365793086178,19.832638533104934,20.751305016764114,20.70420100383338,20.623351666915973,22.052090120456917],[22.650496522296194,24.62078764687222,28.57943881654807,26.347133012219246,31.4382960627151,27.268431655102685,29.550568558747585,30.79580599936444,28.01306554731918,30.78376466654598,30.88860706121913,32.28892930885426,35.6310885848416,33.16320547355516,36.689352281016,39.18608147499838,39.93475392156126,43.706595009986515,46.64262034190552,49.69296392309464,52.83954216655231,57.10496675801667,57.887240563576974,57.67427905868066,55.34729971258413,50.969148555379846,49.30584240554235,44.96945243096265,44.724564133717614,43.4733845630372,43.91959449875654,43.73144008169396,45.33449357160975,49.53587142545996,49.04321439502214,48.580118985734224,48.15865993708968,50.410359465414395,51.05064242055177,56.862695984731715,54.931839914116196,55.073654126205675,59.15929172777517,60.21911171658421,62.145083450350555,62.57771293167216,66.25699641433762,64.7927167529921,62.36434227048037,66.65134528841234,66.81386832527757,66.62591383405595,66.67040711920421,61.605546970922795,63.92773917409508,67.74210553313975,64.53222735735177,61.72129308050397,66.17528520526767,67.82452146707918,62.93681268419526,62.90540184093814,59.864303435868294,61.41505537751597,60.593496289433325,56.847482373621766,53.08211484327466,49.48688654444775,46.630884402941,43.027124531828164,42.435387154120875,43.19295166488631,45.036072824309926,49.657932951813216,48.85223883871792,54.535910021808874,55.11631808249569,56.812641730284305,57.12280179587678,59.432940503390654,57.463969324762424,58.091321895742716,54.54307827854322,57.12711579340003,55.80827511936433,52.71275041578793,54.14472532053759,53.42165267728476,52.9227862746409,53.7535035334583,50.962897541383235,52.19128496758299,48.272293566749354,45.720787460020254,41.68850517197236,39.95344137194987,36.39141731788836,39.743297458343726,37.54399445706126,37.65339021225311,42.28593592764649,41.91869789120411,45.60135499653711,44.17675306123937,48.66100478468378,44.701020081100836,46.908644983000976,47.327477006044944,43.15526983350413,41.94481565894055,37.711246242699055,39.060792041240624,35.09100310078186,37.09424082697079,36.24075481857962,37.572210842779455,40.06497660984224,42.414747496020134,44.10906906203657,41.44749717597038,38.57281196595045,35.691957598786736,35.66303457306338,33.856274418742174,31.77519641953538,35.976600920790375,34.06316073324132,38.567758470469876,40.97353629914845,45.55241004888607,45.54669353561228,49.07618362378261,51.044855019412964,51.38244947535848,48.39072042614948,45.0654779940732,42.235262585317756,42.345579016896615,41.42709884473756,42.95078003019064,43.06305993995311,47.37050993241764,46.426321309535744,44.1897370384006,47.48796488563913,45.17361216540833,42.44583968094636,40.56659076358222,39.96265915401881,35.83411240698156,36.42070526700942,33.09239066081627,36.132193261869304,31.976422582905524,33.74526947813326,36.996431147911274,37.00746955667975,39.049825314742684,40.69799970386261,42.245426000740906,44.29940112853029,46.29206977998919,46.47064873676246,50.598075086780746,52.52159080146341,50.19571926740203,53.963656347067044,56.137828045400774,54.68359894872132,50.6860993040936,51.127261001099164,47.6333902216643,50.57134712893632,49.70569148625881,49.56218326007344,49.004275759915735,47.01351314989934,51.36955445898426,52.8591615851486,53.442433908272314,53.753573877402474,49.05459990648821,53.844151220325664,56.536085680590894,54.137638267482735,56.86585189262866,56.29103433458245,60.54636614339915,58.96953404561828,60.476725314373,60.26983718781257,58.58921926851987,57.589259558492785,54.995801041787196,54.65166638586181,54.2200871803192,49.27188933299746,49.65996774222582,46.09877034857988,44.09117910704319,45.21292123012675,42.70972514488855,39.91495261267099,40.4968614191215,41.2654447320759,36.90584969254222,35.152563007710505,37.587062534079585,37.20302941685894,31.834616128772236,32.429517070297344,33.51683041181781,29.928584446152797,27.68178367110084,30.491865132408538,32.33030059326998,35.28257259489089,38.55510242946819,39.215121788054496,40.77769664245423,46.13070433540134,47.822470002420296,50.9483812850033,51.462655252876175,51.82820314198638,54.51388456947747,52.78044588180274,57.31241770023158,55.99352209495016,50.75516466663122,53.932985039568706,57.52049979565988,53.631448768985635,52.096247329880114,55.92070923808299,55.97167468945074,51.620024125072554,51.94011586920246,47.70524376629143,49.937411833034716,52.02068272002867,49.56858590510783,50.93684869372704,51.65811095035431,49.43402434318702,46.92335487008842,46.58507918845975,45.93336025522319,42.39957915801049,41.23351569673837,40.96439062813756,38.233966418030676,36.377894306182306,39.750320848522,38.07216163838595,33.380241454689504,35.791313881415704,39.24173952635744,40.03327962092903,43.747746667298216,44.45792254750884,48.36702907947729,45.713428037789356,41.73906315477218,46.47168824198581,47.392096687717505,44.11413955130577,44.757102317447846,50.20160096347023,48.183131136767436,44.13142198618149,47.83192977121245,51.56115409511026,48.855193172065285,45.700464307575096,41.138881945585865,44.31556582228081,40.12255954609809,38.82573462482422,34.768022197297235,34.99814042120445,30.70466348559458,31.149895981070596,34.22730181233642,37.60608820825361,39.19215014800968,40.01641428430404,37.03053153787107,40.627206406934455,37.259827056558855,33.74821839660643,35.91767943397314,36.14810637093117,34.08449235430189,31.88039908850299,30.402901945314106,29.54739953631216,29.046336827054056,24.505612325285878,25.360570205552225,26.70340392622606,26.952338810433446,26.978054276869212,28.294535109767942],[17.61019135715869,19.83031697891628,24.00794957428045,22.507390454658548,27.277921557264456,22.99070696679431,25.689408111011307,26.582488945764165,24.490512262396443,27.965666031248173,28.30540286952051,29.13204126324943,32.73260969494578,31.031790276583926,34.572933681854444,36.66383158428611,37.64899931734596,41.74810278068543,45.13101489084053,47.71080403124067,51.19840003482436,55.21896548672902,56.36725930820367,56.25604948369479,53.552001321663894,49.32194656397162,47.18531882869429,42.81084225571446,42.31541313350393,40.62591099109839,41.702156444194706,40.72937184711371,42.480477115170046,46.94477954976603,46.22131037008514,46.009227403339366,45.02999382700728,47.66013369758791,48.223179100678266,53.736068204692245,52.3391462612464,52.75980371859083,56.66670982932831,57.811661107215045,60.048255131922154,60.47604842839412,64.13501172434847,62.39965969018754,59.79457905426584,63.901235988909015,63.928398381937015,63.45196942020503,63.541450070705736,58.54065867872213,60.701249949087796,64.80538933277505,61.88845587645103,58.981667064029786,63.437881575994716,65.35902450753692,60.72329521542536,60.86969865862683,57.77632402653924,59.824371339249495,58.827931158103226,54.820625129080675,51.617230693291724,47.81119695969012,45.47947389310728,41.81175101682962,41.62198407326466,42.86565974168457,44.201541185881126,48.75203103916666,47.36129492579869,53.038677527785175,53.15229625613251,54.65708508748145,54.655617702110604,56.79502406428822,54.377225208386285,54.81543134308438,50.90133482897859,53.32346112220733,52.25987198282214,49.36932585443179,51.25604063442221,50.29261380737143,50.399994208672105,51.17477716044988,48.81554127682115,50.437409070295324,46.461850277621316,43.59499263821101,39.46748639583003,38.058386632684346,34.39917965519059,36.948073675506464,34.32424081754073,33.76455868239653,38.604322061614674,37.52700684170492,41.568131070335156,39.65422365815279,44.1214974796245,40.12572544378278,41.94226462352616,42.41154408067633,38.231216815611646,37.02599380499788,33.0162597332844,34.89772223533338,31.219257154402257,33.770287152431685,33.501434058404215,35.21315343926368,38.005983025979425,40.98736632372647,42.873375257863515,39.85115134447838,37.221942017791804,34.02460876655298,34.01110880395429,31.6581455993564,28.982035275212027,32.82122065541098,30.074554757182916,34.614147522665554,36.70115463998733,41.07885183509693,41.13346371689085,44.36577088299826,46.70356657694938,46.87842712726748,44.32984460495311,41.20551721207293,38.42631620521391,39.02038856295852,38.601829796964196,40.18482394469248,41.0576928371045,45.56687678890042,44.546494340840425,41.95251933746556,45.12762592380769,42.48988555609985,39.68454718564761,37.41491402771796,36.30810436724243,32.060968633413175,31.99989186346891,28.707853185955063,31.288692718731582,27.104374280404876,29.47046518805757,32.703375074946955,33.08503357724443,34.727013022048034,36.94249804069439,38.10235855274369,40.623897003716976,43.02626105220115,43.4684781658786,47.48092545817671,49.637268829215195,47.47853629218683,50.88170046377884,53.31110775382637,51.53899547081195,47.64336341380718,47.76299704131874,44.421188766425736,47.19029365997914,46.07454604539807,45.85852034301185,44.971150761242384,43.30554675241612,47.27336280701493,49.0297252765651,49.32918803429007,49.940383095133456,44.87816252405192,49.64185349554103,52.45622681555059,50.31045368636455,53.318619460091746,53.11016137859666,57.343914892044346,56.124036736849085,57.19745387070206,56.94625018865764,54.93362794861402,53.83106551723239,51.0649653137179,50.47334927347001,49.89643035153192,44.99323962740478,45.00203259920421,41.35261029769834,39.119931629440636,39.947768595464346,37.259365105376595,34.73510324648547,35.36159727596409,35.754310748258675,31.38738681874906,30.167755347800814,32.265470509224414,31.414350930138326,26.334716258553424,27.126338348207643,27.921735087628285,24.143791285082678,22.40085517028833,25.310807797320493,27.39306648735313,29.994042460429544,33.89273093319993,34.11882462290254,35.44162704607101,40.783686792092304,42.470463935733925,45.517899789817825,45.761564670696096,46.159872267646534,48.75728499927883,47.032352936145905,51.655436017841794,50.44323753942351,45.325233633881794,48.48523568994014,52.22262532393766,48.504819168263694,47.00298660942588,50.891496413351724,51.17065617842755,46.908020492217666,47.31856880084541,42.806462785908025,44.833286648285686,46.6882894641786,43.97583123507824,45.23553640752247,45.7286693958978,43.62718484272715,41.25607457598497,40.6403014883171,39.9291595414776,36.578761940898765,35.35467812884662,34.86543373697187,32.1230475548194,30.381834813111883,33.654466687761285,31.869757467905682,27.216822897718586,29.77523290171608,33.19847233190972,34.13180116484209,37.785938163443994,38.547703120685085,42.51108584819749,39.94017339508743,36.114673187555155,40.870011901620074,41.92010310963717,38.770381888525655,39.55531149554867,44.96645427710311,43.19118473353975,39.318835392921585,43.01100321541986,46.7481597399215,44.31886781794517,41.310906250202244,36.877852504272795,40.38621383230327,36.488059995806935,34.74361922797226,30.75517040434564,30.410265600148772,26.04799644592943,27.25302209020401,30.234132586537907,33.80930207834472,35.1899143150167,35.458176108123766,32.50856822742933,35.982305506444,32.83539341574786,28.684817571283475,30.661381123450766,30.53040560875774,28.660092428435572,26.71520848494524,24.752998588450147,23.812682581662227,24.0050308325578,19.203809457016025,19.588876924990725,21.13912622564187,21.785769421371363,22.07370104432219,23.560144485998766],[21.144150679658242,23.305921784434965,27.18250116674223,25.52536136522966,29.814986791693503,24.825506176542877,27.008997802312436,27.131642421986697,24.69721457537385,28.112222000931837,27.787202523246542,28.189823626541845,32.432763680231304,30.806744468963217,33.72530760714574,35.91223352283587,37.47502253436837,41.352695427560974,45.03794217550314,47.56266489931629,51.068033117839725,55.14494890148405,56.38609274155116,56.60722535506633,53.92393561559785,49.67364565184496,47.53393455852967,43.148607341144555,42.18934592007841,40.21605928295494,40.60472204178007,39.67965623522701,40.91029269826055,45.3923775478823,45.124120770911794,45.294363303672455,44.48137401091437,47.595617685741175,48.5300783251426,54.10717394164517,52.93451729066615,52.94893364932572,56.75633914475747,58.245420680954744,60.59496918531643,61.33615550235964,64.89403500860796,62.92241053293489,60.64017741092097,64.79841680046196,64.46090711519221,63.96796754683389,63.76675813609291,58.844491956416995,60.53552222159371,64.68053253383407,61.89927127852107,58.636019165747484,62.928106296515004,65.1620638993621,60.43166005249829,60.16639953317143,56.845241241378524,58.983047800044254,58.36669759326738,54.32433947817745,51.080190125334916,47.11514469715499,44.95383553361325,41.0102553042263,41.02703401169218,42.016722337808744,43.08607415756177,47.794589009425316,46.22899838204822,51.62313974670117,52.107542651526636,53.25677714465091,53.58126476707259,56.03462809093548,53.68970216414663,54.54933879514029,50.524601895661945,53.297597666767004,52.53374864979631,49.317755745122355,51.002867072223815,49.59490001296879,49.67223276311974,49.85053272307007,47.49302345898225,48.76108475136389,44.74327373228998,41.78266678151159,37.95780042495383,36.17194606805819,32.866004537266925,35.35916331336828,32.94527556992503,32.13927723015414,37.43201635345409,36.77895184084449,41.02760153845915,39.618705358334786,44.57981976894569,40.9366083167743,42.83785337939948,43.796545136077924,39.86009191597276,38.153174725012335,34.41276977971475,36.041228736113894,32.17975740475051,34.894352343074054,34.140751314706655,36.214278385971944,38.63985237226414,41.89141161928805,43.28005102849164,39.92358275752223,37.51676180519466,34.41342565104107,35.07671164393138,32.816805428873764,30.243106939717975,34.471459268638995,31.81640886823221,36.2887041533039,38.461849941899736,42.54984604934923,43.265153810430085,46.290980679960164,48.687065710826744,48.37059165887166,46.18730230326546,42.831230851318075,40.66687582417996,40.99495187522862,40.55770364000458,41.723036550441336,42.76998345390521,47.12450917333511,45.6573142112171,43.0441565217939,45.980730373228155,43.00078480536233,40.41855969294977,37.83918242389089,36.808422467634394,32.41403178745181,32.323196099233066,28.451841935042523,30.669502360400212,25.89558585947611,27.992944956964415,31.669315312072438,32.4152702676667,34.482192939538145,36.65998349562495,38.49175446369442,41.43873765519138,43.42363782287931,44.503951370453755,48.229727236295915,50.87138729214283,49.218011248846906,52.58409888709217,55.28001012180355,53.68536189747511,49.76815557159389,49.656690150604,46.09212059779594,48.42508756508453,46.99888786123255,46.3790764777202,45.22109972103899,43.18432925554468,47.029511206916496,49.16643889682277,49.63870550172977,50.700239034059365,45.78519825467353,50.846487235073006,53.843610705794845,51.79150078574829,54.423734196910445,54.011027256915256,58.38512024177764,57.53931366648689,58.74692575661607,58.792239899637764,56.64884143518146,55.87370795753927,53.20214732026365,52.6908570910265,52.358834122257086,47.508235565306265,47.42899737149654,43.9760842692028,41.32965182839873,42.30581666614286,39.20943188531936,36.86953741988314,38.03903336352343,38.16538951337675,33.64437403353245,33.1753618534321,35.19339640516423,33.714158300625385,29.0540046634553,30.290062364213,30.822642502534233,26.72190791688343,25.7351869869214,28.811495669940793,31.05904170407668,33.30294889368841,37.727461896158474,37.52897213529434,38.632572628718805,43.91193831272573,45.54588604558747,48.50556238306096,48.32196919783308,48.67122469180076,51.01332612240989,49.06608402170843,53.841204454710514,52.977531692501096,47.88621103054323,50.80649453204833,54.860640967862636,51.39605369804267,49.71134219621335,53.49852223921068,54.23503106507012,50.0821486637208,50.13233015607282,45.587258740564835,47.01478699629341,48.796426940896815,45.9648143411364,46.77720986905693,47.02830143920515,44.67533313224318,42.7871411360401,42.11419686635421,40.871228647913256,37.7239035896013,36.99098660548625,36.08445916188818,33.14387025551822,32.02699534378132,35.30115889336671,33.13215994852623,28.69545519956965,31.835423385074808,35.13416048843898,36.42092387601377,39.85670978684994,40.529290634522035,44.66417559587877,42.40916013608915,38.739015546529025,43.38154037866874,44.77375641529137,41.81948036914604,42.540995377671514,47.997699770485866,46.597055293151215,42.792874885343295,46.29490426639832,50.19120216178144,48.06744023451243,45.10489287078993,40.74577021286751,44.53164775722435,40.77874918068036,38.9286636201063,34.89306518379039,34.11129677763818,29.623445615803806,31.292724569753304,34.070820141033195,37.76975763586143,38.834817416493195,38.770564176008236,35.42806993534404,38.546832252183016,35.15068077318662,30.960990107658567,32.34186329977328,32.01130004827324,29.56067729770324,28.35981137317872,26.523488472569497,24.779814936102166,25.062633810394743,20.885422257752282,20.4158149278039,21.299658854522203,21.557380690261382,21.40792230720969,22.37816887407138],[24.725005183252716,27.068633573328345,31.181691706219297,29.585590155389315,34.079334884162655,29.23123715020642,31.431704488975917,31.61672553628885,29.055005816012002,32.296267456143084,31.820904268647528,32.294961214866724,36.58700609915588,34.73904901207704,37.53775718543993,39.87320745101013,41.4671444761543,45.199201709382656,48.77299464047141,51.4597254267466,54.84747811052159,59.02233639327393,60.14477473120381,60.369488454073185,57.826569891611506,53.518213646571944,51.54207794111767,47.16401668744471,46.227331920942376,44.33291959091633,44.37963402151231,43.690035006073074,44.71858910089478,49.126889369134865,49.06633625418665,49.26739351326287,48.63557111352656,51.741888392818396,52.74369663654708,58.40253023509006,57.11224245991718,57.00293336121762,60.852185937816714,62.357967149008246,64.61886714986117,65.3810684133921,68.9405372726893,67.03811184567991,64.82809692900207,69.0372985539889,68.71355643056603,68.28776432063337,68.04502298082593,63.11807561458527,64.7763723820281,68.86129084190837,66.02606633903511,62.72756908068231,66.98226666307457,69.20258496057893,64.38010769773247,63.96775671703493,60.6073206898662,62.59317126374917,62.131017063409864,58.17210118340912,54.71702048472258,50.797288874202266,48.47022036567893,44.49190374210332,44.38510736214525,45.09430004140863,46.32515781721505,51.106255647266245,49.73050391163911,55.036075692375746,55.8001831194123,56.90166415950973,57.422133047647684,60.00658781921285,57.79425279740761,58.78466647079404,54.808082068294986,57.66676668318218,56.90330383628972,53.6060811258248,55.15316564915824,53.710424237078044,53.624656946383496,53.650851259839456,51.168924927133965,52.18119489893204,48.174830484783314,45.29152763170015,41.614824763869564,39.589807668420974,36.45226519911612,39.163614994150265,36.92819402258489,36.14311760490938,41.54482729790234,41.07507762037738,45.34065094610999,44.05751448564853,49.07169696057967,45.448225412867316,47.331723654751734,48.27615741802204,44.311971566662486,42.64989548791547,38.90435067809209,40.52788190163612,36.6305098496161,39.2472305782063,38.34274943657345,40.315541833782234,42.63794829561908,45.67920565945874,46.964630852939656,43.70948248493792,41.2298350989898,38.25006900528742,38.93403225422666,36.85570557459919,34.447631901766776,38.75547488016778,36.22940568967604,40.71636234428648,42.91064370935154,47.04002485058652,47.65924564798898,50.716300903032455,53.11374184515154,52.86179079366659,50.617332642168904,47.26337079320051,45.000152356574944,45.29660867499839,44.7464226167353,45.9354805981111,46.7435136282738,51.05568404459148,49.62144162306357,47.120428775430284,50.096926085631985,47.1903259905843,44.63903999426494,42.13977331654352,41.21659302148927,36.8310108864549,36.80988027064985,32.87472183550305,35.005765174295206,30.067356954999134,32.09495068252868,35.90258502587502,36.707560315232875,38.88946559722584,40.995382598638614,42.95885836141169,45.866364334614005,47.749649490309,48.79860336759134,52.548319126216796,55.144449521785695,53.42012735905666,56.88313122250641,59.4962582005972,57.94672779819741,54.005093219623625,53.989640418328534,50.41222142742421,52.80617087532802,51.425051371193724,50.79849179471022,49.66062711630226,47.53206984799594,51.40033637450261,53.56515722337099,54.0904686216052,55.1507143461001,50.280037962739826,55.343030835448815,58.32427390993563,56.23853913932819,58.84188316380695,58.35384368945799,62.739962047336284,61.80611272962189,63.105587686486196,63.13326574679572,61.05690243284032,60.25459219519766,57.58224023139677,57.070105917855564,56.678359259271,51.81034842541456,51.73440168051604,48.198574150939116,45.651959383292535,46.486348378637274,43.46010564356784,41.16785854706353,42.13426902044287,42.18910977702835,37.76072426990902,37.15473724312338,39.01430776480183,37.53928896277948,32.93723895668061,33.924645630061185,34.28593592467561,30.354404074170297,29.230927476829784,31.93593865123225,34.329258734902204,36.348862469453174,40.88618801757827,40.938953371466816,41.89390426572064,47.200959330052335,48.54202257689232,51.741813646588575,51.7626105842109,52.32875130060607,54.781968040291815,53.030364210487114,57.79543592759196,56.78788839507284,51.836238357867956,54.880851371459265,58.83562856893159,55.31736716690891,53.78055460605638,57.64019974980571,58.19485205063578,54.00934526156583,54.29391782116339,49.70076452138082,51.31111865498493,53.030985991143616,50.103988409362,50.977277800537024,51.083055093113,48.88165750455055,47.02029753578577,46.122672963101344,44.91549212413073,41.92888537573506,41.04586219269258,39.96413368604254,37.05978864618839,35.95594185619734,38.96037090392411,36.66147676964285,32.32016760466813,35.28864419670319,38.42141264763713,39.85363962868704,43.40824293194804,44.33835072790991,48.38593309795708,45.89843796650315,42.45123064981311,47.20836460406773,48.37907255628128,45.38713490890118,46.36352525540874,51.69888699429625,50.06292198904873,46.4035923180883,50.090136207430625,53.79051700129168,51.472655862207354,48.585970440770275,44.22983065607699,47.74796449493665,43.91735203427329,41.977843586110325,38.15637305855462,37.66865226169979,33.31057269713025,34.742096432627555,37.693367712615576,41.303062380506226,42.60519154820178,42.67541983884743,39.56028370800775,42.807087080413396,39.49286633722248,35.24867296068919,36.73163865868251,36.30926926227072,33.98339592308495,32.77644389055042,30.755886554037925,29.088977066190846,29.551090203958044,25.238298123272514,24.656878942823163,25.629267130137826,25.925664270358705,25.733577687592366,26.49757334035354],[23.0130479349669,25.490655733122665,29.8810225851147,28.598740267913556,33.391170894998766,29.07591786654065,31.688256497192445,32.33678899459923,30.071975462596086,33.43441655865983,33.39522063102953,34.08184501931019,38.02806867733733,36.17689464497911,39.39776185817575,41.65574692999533,42.898322954379026,46.81012320041281,50.21095222723259,52.92201507013606,56.32156870787242,60.45470283228889,61.52976474046687,61.524595433623176,58.9507613128541,54.65468472592505,52.65480869341392,48.27392619158819,47.63539461200719,45.886987758657206,46.42422582369736,45.633021064430615,46.99965266305902,51.44218841068069,51.078056079870656,51.05956387728767,50.26660212378551,53.09586427018549,53.84013681049607,59.43383513850175,58.028683447439086,58.22773705780635,62.141976644656076,63.41084783866856,65.61289509163274,66.1475488456467,69.77637845560842,68.02788884706827,65.5723941558407,69.73061688594134,69.66207361329484,69.21836839381248,69.18841475431014,64.21006586895082,66.17511753211498,70.27037861773975,67.36399572246097,64.29259102202514,68.66430893391299,70.70048199224313,65.9501772021584,65.82362692660895,62.60489957441046,64.56217626943713,63.8365160815292,59.88195813656729,56.47389580848151,52.638808767228944,50.20762287325907,46.39700838452811,46.16086537300459,47.04341399689152,48.4494085224575,53.14142530228486,51.858332790002706,57.361951137098934,57.86709902041364,59.18401413150463,59.47694980831624,61.851678552454274,59.54295030309737,60.23656044753402,56.278307933453235,58.886772630691354,57.95259282923134,54.89656897425633,56.628710796908884,55.449734192837155,55.44139469278409,55.84198060177418,53.385872943770146,54.645150099581265,50.64609321088441,47.787155673458265,43.90188857575696,42.11597177536043,38.73773087957935,41.43354045500818,39.01000351663111,38.26504916083897,43.46583976295212,42.612885437338946,46.83081708669381,45.13139612728148,49.82174868585676,45.944630403771974,47.674491783361276,48.27121900768055,44.12800939470845,42.84301732827404,38.95991202279646,40.86308605930025,37.13354803699525,39.70235663485534,39.18285252713547,40.93249998240275,43.535591524131846,46.40258733798162,48.059233853336664,45.01592468447118,42.38239753117869,39.31712456000433,39.53148907848219,37.36236697248072,34.84319852350344,38.84789882174295,36.16118489134802,40.69709281807641,42.77164068506509,47.07413984160852,47.186640636122476,50.336395123487854,52.76277623736318,52.86612650588079,50.42320371267419,47.28301278842297,44.55239183415881,45.11934496561336,44.631053261884425,46.15011343318257,46.8638961746869,51.29191149099187,50.193757027053884,47.68822598490608,50.83585933485368,48.14525431721843,45.42642946513465,43.10178018524526,42.06897364011636,37.755377755788714,37.65232932930301,34.077297031227495,36.33807923681244,31.69452690580008,34.033196316156136,37.605853790921884,38.261244307534426,40.120852758553674,42.35027082202214,43.81935769635826,46.50655531687974,48.73163038414981,49.356789184446384,53.305806176113855,55.57116331479292,53.474409185047385,56.93579288202841,59.36175961616967,57.63969496827873,53.72996807870086,53.86488340788789,50.475909427428725,53.18185953016449,51.99799868349952,51.64761925939885,50.64594428617868,48.8078450327195,52.70645300556997,54.66411672301822,55.028121479536956,55.82014711521639,50.78324848091898,55.62478793040576,58.48821410501935,56.37231421890176,59.29748466451451,59.0003183087518,63.27790819444222,62.0995543908541,63.25208312387128,63.03634483470035,61.03215654713799,59.945728015664955,57.173059507090876,56.551231768079695,55.918623662516566,51.027659109423034,50.940234481511204,47.219538249288405,44.98248114559404,45.57128455441485,42.83976962506039,40.51130135817006,41.00052890105619,41.120606860791874,36.87122299060183,35.802066063789155,37.53992131779484,36.40544183404696,31.65422282694778,32.237802143914,32.607306086545876,28.98481499801692,27.427694449186223,29.77163351588173,32.156517416868574,34.20151599323673,38.53063293315603,38.932851401738304,39.8978342204772,45.231207209659516,46.44801707442353,49.804381364071936,50.19232891330392,50.915107515826065,53.58835273457511,52.107814485928074,56.76524537540695,55.45125528648122,50.595050987663875,53.86644091123744,57.55816839732784,53.87365119483222,52.560681839194984,56.53136564492894,56.70189086459465,52.45614853008722,53.14415841803949,48.511899081139106,50.59499673425379,52.28637088359256,49.347747024339505,50.55009413379522,50.707916758831914,48.793541046606755,46.63224727197633,45.60295256002317,44.78269425583896,41.7743097628738,40.45825715268447,39.53299709628964,36.786017402604514,35.28694041785855,38.11737644122,35.999770122722644,31.574389123059323,34.07722683060596,37.188067422121826,38.47626100228773,42.223083717042364,43.36153572118823,47.24036698161696,44.42590708223039,41.03902547773668,45.919868816074164,46.74882072980776,43.64056545885355,44.82633248911872,50.02766902781963,48.05160927660021,44.48574910065206,48.38594882564987,51.84588621984662,49.2715910541472,46.441984458234806,42.09454385109252,45.30236766287769,41.41568371091675,39.423150514160014,35.81553297590295,35.684571353841584,31.52734050224765,32.646845078075806,35.77980659295829,39.25520600695695,40.862103327673665,41.118123094159856,38.42840408392679,41.93487224368568,38.901863804689626,34.5551847882271,36.43332050036794,36.024372171279694,34.18990337866252,32.55325515377125,30.268827430276207,29.14429628483214,29.78491672913578,24.990115143325443,24.78041978544913,26.236218947156377,26.89401844732844,26.9719292855074,28.008675285536427],[23.038501154023777,25.804698067196938,30.490284009970598,29.98174156861824,34.63660688183545,30.613499156327126,33.573329056596315,34.085654817604116,32.337543582164585,36.04690419612209,36.150761524131035,36.50792074357066,40.577006563563295,39.1190507139615,42.334393116554786,44.3808717740842,45.72594169890558,49.78535382423893,53.357767563741035,55.853327739469705,59.39867037757524,63.40594294445555,64.63550939271975,64.63753717317091,61.90202472808637,57.686463853763165,55.47504579141787,51.09482685091195,50.37579943294019,48.41361922864342,49.26711201839996,48.0534876978869,49.443034729992895,54.02024444593635,53.57262330612924,53.71303989088219,52.605465325751155,55.626825415030524,56.29325337576897,61.67960927362558,60.55499135251902,60.95277451501583,64.77146076832452,66.04217423582601,68.37652702084326,68.85310313509406,72.47439945417474,70.63512305047841,68.04188676039354,72.07401479289017,71.99196676239718,71.37864853084591,71.4139125087821,66.48227484191975,68.38059391440649,72.6390991342447,69.90043852003346,66.80349848804364,71.16783706467422,73.34137016861943,68.74061579217887,68.71283523265222,65.47128712242855,67.66414323359395,66.85849335338663,62.7874056015035,59.64761665236591,55.73009935688744,53.52471728920103,49.70065924012793,49.61694037368639,50.668489886803506,51.88975322142318,56.549908839324935,55.023052494877476,60.4914667717989,60.801217018163285,61.99091163456722,62.14358460472866,64.42941139382941,61.86361615940427,62.43438324829179,58.2514128342146,60.722668638785166,59.947050715118635,57.06607337259582,59.07682903635382,57.7604751438348,58.10383076189983,58.43717465684272,56.221320552554964,57.632067460275124,53.61219094674933,50.59396221349458,46.71912697554504,45.05236382649563,41.69319892514416,43.94398029713883,41.31116981768764,40.06512787108865,45.447593097565566,44.0950881280153,48.57767299678664,46.50124774562681,51.09958331685065,47.179795516791486,48.50892295093793,49.03090156968171,44.85688877303691,43.739874583157395,40.06023692957806,42.42729562194602,38.989244976612824,41.84114786524342,41.73065001831301,43.59811834183766,46.386317502185754,49.46610974099255,51.27470116305446,48.13000839458287,45.58456458292566,42.39346709487125,42.5075285233208,40.09976507015801,37.29918276507446,40.96997385754728,37.77146591371683,42.28195330187926,44.061139177248066,48.232634926197775,48.15618372491889,51.081706050925185,53.79431316966152,53.93301295958563,51.75424264691214,48.86923584253291,45.986874527682254,46.97175989961632,46.78747020994055,48.45411386213376,49.48884753394544,54.02386039230162,53.00839775206128,50.35203718816868,53.47056390892042,50.67995490597877,47.90345248511449,45.41933163996726,44.07765741529878,39.747154680314594,39.175838283286666,35.699513606249646,37.49638023082475,32.78707445913213,35.6018245568346,39.19352480690421,40.16328831517107,41.711173476896924,44.3383780146038,45.480168308886384,48.41719571958146,50.94514126324997,51.62124615093636,55.532462650061184,57.82256566184863,55.69313685532099,58.935855167808135,61.40830529961872,59.43826475442421,55.62612908494845,55.64523140530014,52.44933467916321,55.14938521053181,53.877051359034276,53.54472772000869,52.34448446147561,50.774777766581096,54.366939350783284,56.49349081726941,56.630351409641335,57.57848339996959,52.28174058144329,57.000692234336086,59.89048222494034,57.9507827612288,61.149862099323464,61.13184061593697,65.34610469905256,64.29360271753048,65.14048488432552,64.79783186743458,62.63042470947248,61.354246531858905,58.433351946151014,57.58196455202172,56.70171580753434,51.87509818733192,51.47813467043378,47.59458513246979,45.3940994090417,45.505775427988155,42.81495169115334,40.79960300443762,40.97191514475114,40.70363904594842,36.68660126660097,35.83697749084613,37.02805760123377,35.59791155480415,31.270929541919553,31.621469592637588,31.506934706675676,28.11505700661166,26.83272514744343,28.609285541641704,31.308303305775606,32.69817666163798,37.559552977170185,37.96605440879502,38.52392583470428,43.79161422783645,44.612726202538816,48.17918732582737,48.666214990595606,49.699867278783266,52.45989919931953,51.300168721669365,55.947542213521594,54.48547076667308,49.97167515204237,53.392929865310464,56.98748921339346,53.37909027879987,52.33735116325175,56.42991838859102,56.479726465284394,52.30278534958839,53.42958188741341,48.563644799128625,50.77720809757842,52.18252161108395,48.94806856471487,50.20504292141222,50.01906011891787,48.481387269228165,46.40949604047888,44.86921769393964,44.15544858736796,41.51804251856756,39.891458967386306,38.62763597125813,35.99908526360494,34.55306781496951,36.87549073943798,34.5934337104409,30.393964753219333,32.652551728894835,35.46478355262494,36.99462061450032,40.81465338414567,42.337025339734275,46.06098512252389,42.997979832496796,40.07621568712152,45.06108234997528,45.642162604188094,42.61768483942127,44.25616331561923,49.1773508462485,47.07295305147401,43.9089693417083,48.007484899091935,51.1371587635519,48.54147722128208,45.98172982702547,41.82883421203859,44.863925199524125,41.19269891238461,38.74832529492173,35.60050140063851,35.42008162230564,31.53964419552281,32.90591462704656,36.104199499588816,39.516162626936556,41.26135362149369,41.25089745720412,39.00833999027252,42.545797056860444,39.911320544204635,35.052299972543906,36.921643162818626,36.11638383477411,34.7310916644447,33.25534949817901,30.36901762405817,29.38985913960305,30.8299365173652,25.777064757746885,25.086776780013086,26.840558932740237,27.921683008616952,28.195396909791434,29.197180708287387],[21.281026171722427,24.110837706597987,28.96284435731664,28.849694864858755,33.652621408670086,30.244582878150567,33.54142241496049,34.460614366978554,33.054951380316545,36.83444503019266,37.344537275645266,37.86564916524695,41.56820612164008,40.16829428289238,43.72682629273822,45.65941583765531,46.677607930022056,50.886666907847314,54.300048878332554,56.76755399498386,60.32474146949826,64.2521634809323,65.45678437829508,65.24756320874512,62.469350993325016,58.30457720069982,56.052637404946125,51.70227402395193,51.25338204075566,49.42317706253041,50.766894319561736,49.43201729178478,51.144250227388476,55.7358044470657,54.984113133788696,54.92201264080477,53.641346065054265,56.3931394241401,56.80389521406436,62.074747393175045,60.879768774404646,61.58545650801055,65.43194739502538,66.47398308807026,68.75908841975014,69.01490099098973,72.68421494315119,70.98445322354283,68.15740563882152,72.10989861353956,72.26380792923877,71.62243359965301,71.86548567498723,66.91005490041434,69.09186766590585,73.3516014623737,70.57277762855821,67.70747469116665,72.16791629492548,74.16655743488732,69.6729953970197,69.9356910253235,66.84230302617668,69.0294828386881,67.96027979223874,63.89366093532607,60.85293236481878,57.02513000999876,54.775692676700544,51.127760787494104,50.95731742528291,52.20205522003832,53.537817650304596,58.08195858636661,56.60784331819541,62.24156043964423,62.26821815024527,63.653928455978715,63.56552959669828,65.62461133347065,62.95788183755157,63.22595858155328,59.07578080907934,61.27985307531117,60.35158984715295,57.732494736262524,59.93047316112551,58.86866420108384,59.311437589702265,60.00641953583821,57.84725218029981,59.51568547955109,55.51925917482521,52.52500230434441,48.46874914335725,47.058560839921064,43.494613122164864,45.678490724038284,42.88040711582394,41.68501847462322,46.81313087993893,45.098129288923204,49.48937331658917,47.021219267892995,51.255430772164615,47.125195761192465,48.28943473117362,48.465967115701865,44.15976025680585,43.424666771126056,39.67021858849154,42.29208353431055,39.081507124282005,41.872589320463284,42.15828499944278,43.81845604495202,46.85182303413402,49.78893383241732,51.93601440247937,48.98863060567874,46.34623322452108,43.092997976664435,42.77785827592054,40.281760314804224,37.387443073728186,40.684033594331325,37.336649332431605,41.81901689690976,43.440482238643604,47.72340005577192,47.15811468983451,50.13421685505514,52.864998263124306,53.34116563752007,51.007017695160606,48.3683711714086,45.069449049302314,46.333972296817365,46.24507095086577,48.20266417305191,49.199295359000416,53.81954989311236,53.11918667832072,50.45628775896554,53.69609099172028,51.113193317255046,48.20303306300513,45.888721161013706,44.43574915336398,40.22929618649647,39.5684224320133,36.494485490773435,38.390429932394724,34.05418884384485,37.10289542699208,40.41719237548129,41.23030055470523,42.44263802549152,45.167057862383174,45.81030112144319,48.52156547841176,51.36851354551236,51.6510771502961,55.709857959481276,57.680033207597916,55.228342999114695,58.41617487077521,60.70898255845432,58.567046263910925,54.823342894140346,54.96469404984126,51.99086640479164,54.95158079412464,53.86555724221949,53.797835684696246,52.728064813764725,51.46418564949481,55.046591490635016,56.960895321722596,56.93124462635986,57.62120112949618,52.19608170315165,56.66022200146763,59.41770204685029,57.474228965433824,60.97266437123968,61.15780904064074,65.24166929077552,63.98248189844765,64.65696903781536,64.08085336078653,61.973687447890065,60.43315886415041,57.42764837824267,56.464993697382965,55.35251052861214,50.547102771987404,50.12535393447619,46.093161730722834,44.21082976385694,44.07750386328451,41.7067646492804,39.682336150350025,39.38135512159102,39.17961061216569,35.396217680767585,34.10912213077734,35.14805728219185,34.089588905346396,29.683289863896448,29.614509753629434,29.51084109553555,26.51184299895956,24.811201952766467,26.163054681608088,28.82076179317876,30.20251822191704,34.802021531787204,35.544301214795595,36.11444303830624,41.36292375099373,42.087933207893194,45.7713652143467,46.61283843132417,47.77496191604369,50.731663060724046,49.83406768582675,54.34174487829305,52.59107198634041,48.18929749376964,51.80439489338586,55.12091750585687,51.372587273974666,50.55330205031092,54.72583153530975,54.41057031677695,50.205314847122054,51.716267007431455,46.84432836387303,49.496412608321734,50.85975264849309,47.647799296974696,49.222447738047144,49.11156531040166,47.85971068749208,45.498534252697766,43.86761539542765,43.55610762677082,40.903281524010765,38.87122544913509,37.81313138747331,35.38329749240767,33.54336161970858,35.680027264423956,33.65066337759011,29.423614367454572,31.14945500284549,33.92009142412259,35.250314236089146,39.2197975620759,40.91232013757094,44.434144234660124,41.08312192303125,38.226854799665375,43.28114763036536,43.52491969553118,40.407121752220895,42.23115905496756,46.98506998333731,44.57074391238714,41.520100841382245,45.79147907813939,48.66598696726023,45.849468065459384,43.36745161420218,39.26793093849299,41.98751277646653,38.31350863620943,35.80712080110494,32.92494051709344,33.07608238540139,29.472465030502054,30.547994373323302,33.86594927659158,37.10467939022599,39.114050878912835,39.257150059135775,37.47323807482901,41.215454910540366,38.903902256677,33.994166560885354,36.22127159600917,35.44331856583626,34.579785926876404,32.70613508224699,29.617019477047524,29.209321081653027,30.78282650792125,25.41780872294514,25.094367396675903,27.280302289455477,28.654933244365914,29.194936024010932,30.466498641124502],[25.32700713954152,28.199255846636966,33.091508060167016,32.99320856221711,37.824007845604086,34.38599442375758,37.62280010528279,38.45490647512262,36.92328321067175,40.63617733742238,40.973784641396314,41.46357088220639,45.318019817455024,43.80991386822045,47.23696637359919,49.2676020773022,50.391914653382685,54.512372182203706,57.9184559591692,60.47256991078129,63.978578351757655,67.97494695453469,69.12771693200898,68.95793993490939,66.25597338274595,62.04699821819599,59.87743008145885,55.51745092360979,55.01663708880989,53.175949356545814,54.25049842564424,53.028292908516924,54.55789582099711,59.134615670716926,58.55975329157062,58.5780885340564,57.40277928484673,60.23471245981011,60.72978660371221,66.05730870751077,64.83162534919822,65.42916132379298,69.29213465185532,70.38546171853024,72.64013717743293,72.93955660751669,76.60014721243077,74.91096167737544,72.15373160692401,76.13558982708916,76.25994572364219,75.64278132446623,75.83320840552253,70.88038369070648,72.9827428198821,77.23405539033719,74.44662047672706,71.50865058765784,75.93396297918909,77.97689887241782,73.41625920306129,73.54578878777428,70.39225917942164,72.5178162882978,71.58057564455858,67.54491228839012,64.37812701603004,60.54191296335345,58.21786106763151,54.50329195112124,54.291392783450775,55.35028397312321,56.74526743412469,61.36350071469857,59.96410382319968,65.52218384647513,65.75382760456093,67.0584183394927,67.12148017418295,69.29973308467254,66.69742778812655,67.09062950630303,62.925984806435565,65.22187209235132,64.3442678758097,61.64101206968019,63.75519907049536,62.60083708040782,62.968072899750105,63.4897313517221,61.26679736100909,62.749979856351274,58.74207358802745,55.760398694838315,51.817153353964734,50.22034072796803,46.78292751137941,49.06938937846005,46.375011650267695,45.120207664258544,50.411285895386584,48.82389630164479,53.28869746861646,50.932681623586305,55.271292911003314,51.19252209881126,52.32610617285465,52.553582830845805,48.26782668172961,47.501703644251165,43.79353406542273,46.40345225177357,43.14660075305164,45.92575498566648,46.07183763198664,47.73412281146488,50.67830471379781,53.53575749039616,55.578036634528765,52.63664923651681,49.97289755843176,46.78577806706239,46.564240023788194,44.172445621871425,41.36595728029427,44.767517940070675,41.48311565846388,45.97150038820971,47.603160013566125,51.86201878359258,51.310017663091834,54.25678985635328,57.01726494085944,57.47704147037814,55.171703189287385,52.52026769748832,49.23693747158773,50.46833114153974,50.32421218475884,52.25448728574275,53.138242271126444,57.72579753708302,56.99952633419665,54.389027953686686,57.631961616203895,55.03789946327641,52.162164350527036,49.83687412998113,48.4366104943727,44.19395773394813,43.54576788319101,40.334012949562094,42.11488045575092,37.57337437823575,40.58057039953599,44.0514855498942,44.97301651692719,46.30374395129193,49.015149175346174,49.81598412916901,52.585927648503585,55.34324794300615,55.69330167758235,59.7381045493542,61.74527456440048,59.30143912706044,62.53390223265717,64.80742910129051,62.69397009558596,58.93954495931561,59.107714539219,56.108776197395905,59.058781892533574,57.95386721046221,57.83088445254191,56.71982697890339,55.36560804253874,58.933481253955556,60.932845492052635,60.939520201389314,61.70145479894102,56.292943124170606,60.79116661901108,63.56577976161015,61.62666435828391,65.08844150244502,65.2244222606208,69.32931809727712,68.06848092094624,68.79307078394855,68.22691477481557,66.1351022887022,64.59358800670017,61.58560874443678,60.611743983101846,59.466754565455076,54.670048309376696,54.21339726050451,50.1511545401833,48.294775785528145,48.04093274579301,45.679736634957166,43.74955915577172,43.36723232357082,43.04565474929213,39.357163301676685,38.1192867925983,38.982825052606074,37.82314630356773,33.61904910249745,33.43633183818739,33.13355449083764,30.288216383251946,28.674513182855645,29.709500037708857,32.45099602609379,33.51296296690347,38.228671087593774,39.09458987188655,39.46287285106603,44.63683663977927,45.04507850480722,48.898231049428716,49.85803437613314,51.21365039081793,54.21109768630686,53.48117891938652,57.970400195017916,56.14366731554778,51.925972838945725,55.59756392790909,58.8468455548546,55.12222980797822,54.427807467448346,58.633251860229535,58.222726517918055,54.04065414761178,55.72042022829446,50.8107919717133,53.51511518370422,54.78954751762629,51.47811445904796,53.035202201784095,52.75157183688371,51.6202769554006,49.36254823485538,47.522859776968545,47.176828119529404,44.71273834799387,42.63607018731418,41.37355777273709,38.97361100356401,37.26223260482353,39.135792540821605,36.96799827096718,32.931241766585146,34.57115076935376,37.11505393014128,38.61007698461513,42.58954394206778,44.48579270893921,47.91399912208657,44.43144445420309,41.8551404767679,46.93399261811486,47.023415195047,43.94987615586956,45.98652004032844,50.57543217506894,48.03367735872508,45.188469146639534,49.55236939278486,52.23106056343634,49.32564721275942,46.968824397421756,42.95233286249052,45.44333303483222,41.80427693803287,39.20782268196704,36.585813824370305,36.88571209055385,33.43534153107692,34.40912645938291,37.77440229295843,40.916514726613066,43.04509564468941,43.21386027105787,41.57667426644411,45.329973010399314,43.06917902503317,38.120761273132864,40.30169736742041,39.41656285530527,38.55509657429095,36.81367286631165,33.62891534702494,33.13327251170805,34.83927524536127,29.480512164640523,28.945615483906682,31.079422177425162,32.41282011843224,32.85664741192377,33.91786460735257],[25.776455338416284,28.44691219248077,33.106621180630476,32.22819858495732,37.16043771308454,33.233282858423735,36.08199669489092,36.872400037654096,34.788886973683816,38.195384830499385,38.253645206663755,38.94554453791889,42.850403371996734,40.98886035506919,44.27677216135089,46.533410275550146,47.704300384627125,51.635191028480115,54.95356471326145,57.70867820464649,61.080185539326855,65.22000765074893,66.24574718078107,66.15453950343014,63.61386110683036,59.31349607650744,57.34652957278501,52.97337903064217,52.43348638619366,50.720256487244825,51.31890095539038,50.505166444520086,51.87318656712209,56.32954046101393,55.9598012992694,55.93076818986198,55.094391076527856,57.876831180567166,58.543224580099846,64.0984935382885,62.659399208515566,62.95978870830258,66.89495662729385,68.08078079664206,70.23966224934996,70.67796172754113,74.329025842433,72.66294737887495,70.11681851913048,74.24383935146486,74.28514850710945,73.8263950334879,73.8742080492934,68.88786083521936,70.931238988331,75.04244757193791,72.12596077857305,69.11212824395781,73.50342176766618,75.50205760905494,70.76575232098321,70.68445259205427,67.48765742778848,69.40660522853288,68.65562069970763,64.72166052923511,61.278069309997036,57.47919211251199,54.97567265957975,51.20162967182735,50.88960051607989,51.71029464900325,53.2239076321614,57.91676804715484,56.712457589704165,62.22197835270879,62.75083943822792,64.07807802495411,64.36881937690339,66.72166613948835,64.38167510310016,65.0084889330003,61.01733077668783,63.543283747982464,62.5945690287715,59.63247558024663,61.43265647253565,60.28705537568065,60.31300199804615,60.733982372682995,58.281670399657884,59.51602295082538,55.519382300541146,52.66598120512825,48.79943112751665,46.98740278966908,43.631496649700836,46.316492049252325,43.86709118927628,42.99167091647327,48.25372257880889,47.2250198236808,51.521433095980704,49.633930974860135,54.208449146492306,50.24024797390845,51.77498179671883,52.20649665233792,47.9798948979667,46.91919504741967,43.0576877338541,45.19682442966474,41.602208730320605,44.17692304098533,43.827936281145966,45.47036670531934,48.16243795190541,50.88785880855847,52.66505535269905,49.73772273300658,47.03446107189696,43.98366261630087,44.01052743264443,41.85591033082216,39.319676387271286,43.148508826421185,40.33595219576864,44.87313122173917,46.81731707701168,51.157809439356136,50.95446202511967,54.08052695022678,56.60296005919538,56.89989340627085,54.42669877061183,51.45703413525018,48.44916292364129,49.22606293126801,48.78522367268228,50.48485786550893,51.10472343700129,55.57168604423532,54.65342947069944,52.175974468366064,55.4002107154904,52.8090210945657,50.03333777418059,47.77410809288286,46.67352609889515,42.38808451777821,42.15388976501236,38.69070234616816,40.80295387836109,36.13558103206473,38.680516516369366,42.26408637280065,43.00240002732607,44.7268558083953,47.07943437466631,48.35361098174232,51.01253018738994,53.3914470791932,53.854111141462944,57.87789390830903,59.99150398982703,57.696046232763884,61.14433239813743,63.4491586357051,61.61398909866489,57.741251828365975,57.96320920426535,54.70765235164671,57.56723479872141,56.46216837108974,56.217444595059284,55.21747068842068,53.51226560116948,57.34242922004763,59.292516168081555,59.55816951993532,60.295737269865164,55.1475916719762,59.86110233064251,62.67196934232418,60.580767809899676,63.69610465625074,63.51155347049925,67.72889302161973,66.43900569797135,67.49735535941893,67.13191363846387,65.15287071880039,63.87512977071561,61.02030030096577,60.28262033369839,59.43534150072789,54.55832788180223,54.370984664478236,50.48532048082601,48.46273618140234,48.70575187744672,46.166202185211695,43.96705303808399,44.03414649737775,44.00926084557843,40.00046043806788,38.74149672420338,40.13389254236772,39.05922722252442,34.48075798770211,34.659654331860814,34.75999218932997,31.51071877951177,29.806493145108327,31.52084987207707,34.054979847735794,35.70423010458173,40.12475360444172,40.85749405470304,41.578300858427674,46.86315138698259,47.660298740124304,51.31021784473512,52.03978584240436,53.080772501879906,55.93765534254695,54.82063991047559,59.39908039793246,57.81045871798816,53.231453731648806,56.714507987597706,60.175944828531605,56.42622907745725,55.406196381799,59.495417098805426,59.33382249481221,55.08298511739055,56.242379365783215,51.50933544171,53.9412381386931,55.4802475719575,52.39235143908736,53.77937492917243,53.75005275902373,52.179813063739914,49.956137780375236,48.56868130034676,47.962708222583274,45.18307258837983,43.515503903986314,42.43771380159209,39.834487432137735,38.22513420886271,40.621111658955485,38.46115558087556,34.19499730200848,36.28851155227944,39.13815600583765,40.52657426154036,44.4187217866218,45.932634856985,49.60208248860691,46.4292004323148,43.404156125879126,48.406541716131926,48.84947105107159,45.71875862220923,47.30615823680287,52.236157954492995,49.916527897014326,46.65535877468703,50.808988434970736,53.89395158853435,51.07768280796824,48.439501543817336,44.20277453949373,46.989162716616114,43.133058523516496,40.931657892972694,37.77402291679468,37.98906920057861,34.15299479040063,35.040858358696326,38.34257940934981,41.635483034206274,43.56179600250981,43.90098396408707,41.69808793632419,45.373089518516174,42.64297620624542,38.099240022539405,40.16530128385523,39.585182321423645,38.145336305727724,36.41900138739194,33.768280957182334,32.92354445343264,33.95840976401663,28.87900805387003,28.569627123704695,30.316781329210823,31.22184823716856,31.412569344532155,32.400945443947556],[21.622994392141138,24.141087805106327,28.744967567590855,27.754893805635266,32.89454756517152,29.387037878317077,32.398707658157704,33.69169156349854,31.737891005405814,35.08209499201379,35.565262128918775,36.59122747810135,39.998437580302785,38.06739201374035,41.771048592502794,43.95894573672062,44.70547894399089,48.76574222788887,51.858154681356,54.63673031483317,57.984132089801506,62.06744933802057,63.030016997250094,62.713227014275695,60.158430353019675,55.89106243092715,53.9358351807782,49.59306939152146,49.379076126150785,47.89940220757936,48.97979146058678,48.17915544205221,49.95598994927141,54.37289954936376,53.64471972178481,53.29922101206676,52.38533783569667,54.77437593152155,55.187618277272655,60.705837083734416,59.08058712579686,59.63801791777475,63.63717890949761,64.5768261500557,66.64475867814038,66.87806373941345,70.58670196991164,69.08830108090787,66.34854627591366,70.44571308127921,70.7303102528799,70.31334107897189,70.55551787306028,65.52027134693839,67.90854417936546,71.94860329192758,68.91821032624985,66.1780105269406,70.68503867055662,72.42603849139513,67.76002214383989,67.98949063074298,64.97960239360464,66.82358348215433,65.77761667476409,61.88095409289339,58.4825219166207,54.810970814410766,52.20550000790777,48.64846784781788,48.20832686998426,49.25957527767175,50.92832240884908,55.47952593674004,54.38896509951339,60.12375110635363,60.34084259563201,61.96405309836982,61.9967295970119,64.10437483559475,61.75191559257192,62.07997420513298,58.23705484757997,60.52764385948084,59.32757557025145,56.572541121940276,58.46318355388066,57.679326561061,57.676973867103,58.57964026498494,56.10905170574546,57.63828410362878,53.6796498706613,50.91219824579955,46.794731961727756,45.29184556986784,41.64963914502387,44.41122586749233,41.83789816827729,41.28276570885465,46.12398289994855,44.92415574785386,48.962011328560294,46.834616669194865,51.06056341363692,46.892495279114776,48.504906688325065,48.634021721778765,44.29697287305529,43.50967944964373,39.44503966744968,41.57633432113174,38.06460000718833,40.44466553991965,40.343300221146926,41.730611820775394,44.6214291236533,47.16101326855176,49.252058911356116,46.5553446496836,43.72776938155446,40.631989949536376,40.23928524844019,38.053647613186655,35.51489691298246,39.108656668889665,36.391990953865076,40.916210239989056,42.869798777835996,47.39493588449887,46.84190610902836,50.15024554866817,52.5163414927572,53.1094967227199,50.339432165077135,47.46619516969368,44.14805390680064,44.9764540243406,44.49663442848605,46.4077387716848,46.895876603443476,51.41744247047859,50.768048603723145,48.32505868167287,51.67953715750103,49.33780984407803,46.441676999659215,44.42704330858061,43.346166354686716,39.20394454297496,39.119118044733646,36.05678783632676,38.56313251589936,34.39019172110675,36.94414474323082,40.16830935375156,40.54223694406043,42.04036074867765,44.29256171457286,45.17562926741142,47.46358607834345,50.041410114273994,50.071044305626685,54.262011300542795,56.04489141101308,53.4610826742861,56.945396294838694,59.073384571811864,57.18998685319303,53.33428036666341,53.71331077912154,50.57553315292388,53.68704558048564,52.81000452465121,52.83362479598684,52.078930418434766,50.57690373452949,54.55920196258746,56.17777698803997,56.382432223076535,56.760573999267905,51.617073925449354,56.140287702467155,58.806437745024404,56.617607694773206,59.889850999660176,59.782491755656444,63.89912825030877,62.35424618508092,63.379559457386044,62.860551897598825,61.007458857959776,59.5921052556806,56.73963191786468,56.02937255080272,55.125604731372825,50.230503316153964,50.210358974401004,46.303084524154166,44.53003479884041,44.88958603904365,42.609026019421854,40.177869375686655,40.050886969709225,40.37330318115016,36.39408823068202,34.59900842609756,36.27308118903131,35.752277862650935,30.76443663170098,30.782866454870383,31.294309540605504,28.175760434713798,25.90802621231466,27.77903258995235,30.01694437387189,32.22490609656192,36.00572129914125,36.95317402483671,38.034617316464974,43.35830370530034,44.47603599574217,47.99243649327332,48.90149414574973,49.76398645026332,52.710170200901175,51.550055757865785,56.013737120814575,54.30299416606867,49.53617321292056,53.06660396541889,56.37079893675113,52.44916752438089,51.40363824011243,55.47085312542776,55.108917484387504,50.78780421212422,51.94415241237077,47.36431500125207,50.07959404568462,51.78635561476852,48.94336356875666,50.587921766614166,50.911069571762866,49.32024801425122,46.73692996113875,45.67240475027924,45.379201408297725,42.28144327710738,40.46003217508121,39.86583291552536,37.357896483126616,35.314919822847436,37.97679518337467,36.207768035333594,31.70563651733295,33.52937137088254,36.62680184868512,37.60949649408758,41.56245923036323,42.8850894437716,46.50980476086778,43.315779531731145,39.93517894258461,44.90680066574329,45.285266269575864,42.01210438120076,43.37441717344063,48.39829418706487,45.96299271495186,42.46154605055226,46.588824582910235,49.744570656636796,46.804756441046656,44.01331247357399,39.67184669227352,42.40608916246806,38.40809409628057,36.48435548413914,33.14249010128372,33.596619181156804,29.762201059147888,30.292907854823362,33.63201804840435,36.858054953825565,38.87004098614995,39.485548417511765,37.352151531820176,41.18451049038066,38.4941120037536,34.21772401963865,36.633578318063705,36.35892295586801,35.13673011327176,32.88966851892626,30.454328450654984,30.081613814955457,30.724798875540134,25.505358037231677,25.915172605378977,27.91211576227503,28.88278731992907,29.272984877803147,30.657186493311784],[24.95782860239316,27.586769201466595,32.367053026333984,31.847691112397104,37.07878298329606,34.13307827474829,37.37800802534569,38.87919469358682,37.147327269656195,40.50357391900593,41.14098384566442,42.21370033858978,45.49603569255153,43.55104229153497,47.37290097332623,49.543951476610864,50.14267028925617,54.230409497399286,57.18160289081753,60.00559275382751,63.30720325798751,67.37747955742535,68.26677215201126,67.80313463594322,65.29510832092015,61.043954357768456,59.136669604355276,54.82582473197305,54.78139835810405,53.38621452299613,54.61036631961515,53.78999634026778,55.63317167313223,60.05661224159864,59.260364693177976,58.84715355218847,57.875083289717494,60.13231936591185,60.40891421841335,65.85815244161115,64.16061099713852,64.88346424376924,68.9083930402728,69.7022760837197,71.69943558352513,71.7804098740996,75.51820714126846,74.15043758083603,71.27130337373345,75.31625709024608,75.78064600159334,75.35522135431812,75.72387486729907,70.6826901182785,73.22729605805873,77.26296183908806,74.20068799688205,71.58776844018023,76.1342677386869,77.77372811546036,73.14673483276594,73.49149219277345,70.54523914998914,72.3300613535503,71.19655884109055,67.33709507814146,63.9128843238865,60.31353426378303,57.613325729762764,54.143253761587424,53.5979556016125,54.61773352311778,56.429903573083166,60.94729470101078,59.969064396040324,65.7432139278421,65.93123550184583,67.6215325916712,67.60323728704044,69.63721737848833,67.25131372873788,67.44498350775531,63.602142179514914,65.74791369796687,64.48496901293045,61.884086251652725,63.86363489201735,63.18706812431145,63.21715426891946,64.23091686858432,61.76147600407693,63.3141699783362,59.366443938204704,56.62123686028205,52.484717505220125,51.00238525147148,47.342489941832156,50.103927215610405,47.48803240702476,46.84462247080239,51.68003084092089,50.2670446183619,54.335877795607495,51.96742256786257,55.98315373141576,51.69575866308892,53.09217814800391,52.971132718199094,48.54916772713668,48.07648242729117,44.03448075989143,46.40972557800171,43.08986660265758,45.423440630682414,45.54995884983349,46.76578536366373,49.76876377339742,52.10256834868114,54.372678476259416,51.85859943385472,48.94684367962532,45.87909850837545,45.21404804122098,43.06030094561921,40.529071977230956,43.85252102512812,41.04081194106541,45.516995126379285,47.304987675131905,51.87362954993508,50.886100732448824,54.17914555927895,56.607728702736146,57.48754585271433,54.637693136762834,52.00315344454123,48.32904258334081,49.4035665424748,48.97463676038124,51.11776666965348,51.4670328290103,56.011419179650964,55.62787644863211,53.23942178938548,56.68671932831218,54.51673248679617,51.550706843438455,49.66281055224886,48.51736910706137,44.45382202835091,44.25293486071496,41.385134400611555,43.77950250314059,39.66424451882911,42.42439778960421,45.604042827658105,46.0105329531805,47.324918367423486,49.68442407162118,50.285803831873444,52.46269822752975,55.2363020902081,55.00091825443959,59.288655811919774,60.821764839565255,57.959693374853465,61.41825090667258,63.35127948481353,61.33416910137017,57.5506664153397,58.064737200094896,55.12832379416118,58.45029328212632,57.71380503647171,57.90987562974861,57.20718793904077,55.89558108657325,59.81900930012556,61.360114623123174,61.44128282738436,61.68332634425356,56.437344234669695,60.751847365357335,63.31356113132971,61.142736296497475,64.65331981311923,64.69218281481153,68.70588723464395,66.97624686185536,67.87996455337354,67.15317127667672,65.36874877345309,63.702084052364754,60.76850649369509,59.93089467849858,58.762456662251324,53.91764365360221,53.816071382162946,49.74055350759108,48.29587435061669,48.26514294765387,46.29253916584235,43.991304876175796,43.323502818161145,43.544714160381,39.911002601701476,37.80555038579494,39.094918438229584,38.77822618297788,34.00048957991217,33.495879633061094,33.7585807284927,31.19118374085684,28.690355226780966,29.757341860136243,32.05344920190972,33.847825598340656,37.503272849988186,38.91734653656404,39.7638350951694,44.96521823337268,45.619385042684335,49.43783438122999,50.817598840701095,52.02472326366539,55.198777750648645,54.48277464144789,58.7896964426042,56.72089888796106,52.28973249376236,56.06183961144546,59.019635629523385,55.00383350482268,54.32349156525239,58.4983061770499,57.677723594450605,53.36843335874498,55.0987951152769,50.473969481587524,53.65218161648769,55.200936807339495,52.25689664749515,54.166904914303565,54.34361637956576,53.16318508527384,50.45065601529628,49.043171613815275,49.070185923460784,46.19644522115356,43.954613501412844,43.28873859747341,40.99248913683446,38.76355628780671,40.93634826461849,39.224692250671616,34.92950067632844,36.18221951481472,38.9711164102273,39.96623241180818,44.05975660364848,45.777784079238415,49.10037161084019,45.49298447046824,42.514035734736325,47.56862940079223,47.44751127448358,44.148195970131354,45.93993752943673,50.593706294295366,47.715334721871876,44.58249886855588,48.975405778235746,51.64124106111874,48.38635637561655,45.83414468031065,41.66620627697263,43.800327322730034,39.8581833604545,37.76912512918919,35.03339993106839,35.983411303983,32.63672777848202,32.781024305909924,36.264866566600254,39.181031612933715,41.58226412684493,42.360524517082595,40.86616340198416,44.88227029512307,42.58740670052508,38.19487308431271,40.85641046645243,40.44645136967309,39.715660104988274,37.31115109397302,34.54089881303185,34.55672958223334,35.556543277472144,30.08936616219726,30.47567847412654,32.79336984210245,34.00875277040234,34.53226839814627,35.893215076048044],[28.646597268606925,31.178794727453706,35.81518554487189,34.73048801482059,40.009983069789726,36.6050277484013,39.4949279501779,40.842201123203985,38.605906681578475,41.68409062492129,41.95229552213261,43.12548085049438,46.58157430333108,44.30238711880318,47.878505572792,50.29168435653969,51.033199717794616,54.8879440294221,57.77458296380575,60.81235007061393,63.96503437757664,68.1976251376067,68.9509863011683,68.5994981678149,66.2811414609339,61.929954400947615,60.24565571370454,55.92297225341559,55.781731112625934,54.46097522151571,55.08370963685748,54.661908722908684,56.21811076399099,60.528759232440756,60.04580190375058,59.67724593584734,59.05259622258356,61.35914888406258,61.853225383385585,67.52018208386764,65.65386151006176,66.0362159073704,70.11987070251693,71.04633738227217,72.95293904868964,73.19500536671298,76.91201310024778,75.5560741593173,72.91266875972185,77.09918007947745,77.44794697719277,77.16356118179193,77.36121650448534,72.30513386333566,74.70953648798549,78.63158272960023,75.47369485538813,72.72602057996659,77.20539359511825,78.8608230788612,74.04418447207321,74.09864330352593,71.06470022104025,72.63997579334482,71.77745400942227,68.02531122913778,64.29081703973692,60.715416508141246,57.83195574597831,54.26082787452152,53.6144514287821,54.28577333852935,56.223448126408535,60.85096049986154,60.081076446650606,65.73398207885955,66.32760737385887,67.95412350482218,68.24390218553467,70.51750128615515,68.38880249467648,68.88103303607942,65.15310299974237,67.56512878843259,66.30630457021911,63.42573231591441,65.08892552321174,64.32349626220976,64.0338514978797,64.80646026581861,62.116923312531014,63.31658156362457,59.37741573556848,56.74555896728722,52.77878945787423,50.98173533245363,47.50868698885398,50.63492696585426,48.29517739107252,47.87485379670045,52.82287103720756,51.938299744231486,55.94943336840286,54.04195875461822,58.3473883890678,54.202999733362454,55.881539464901856,55.99290708267384,51.64191044623597,50.88078484009359,46.7781947062463,48.785363287088444,45.167595683380036,47.35807100405463,46.98013217611653,48.20704012878589,50.92344494730169,53.11128169769995,55.05730377132604,52.546209305005554,49.607368533515,46.70852798104032,46.347274832531625,44.459548658706304,42.20430850377941,45.94994186341946,43.534489692926925,48.048852233985315,50.08484630257474,54.67660635856107,54.02349442342209,57.4115654054787,59.69598421791146,60.39333402153178,57.472431348844026,54.565833013271934,51.16237806490862,51.85193305116547,51.160311923426256,53.07145431660173,53.155185009713676,57.562702918853134,56.9781607990435,54.732771724811585,58.14563718878212,55.947787934504746,53.10143650470769,51.23393126851254,50.354811126470246,46.22315958187626,46.32743300177514,43.13826153441269,45.66116136600894,41.275953933357805,43.661920279849674,47.05732028113615,47.43099845577421,49.14243528985353,51.22790567260058,52.338827681521124,54.51119651641019,56.90412138421542,56.85216981341019,61.08944233204227,62.76809970402732,60.06847140057281,63.72193062937403,65.68856290248162,63.92269624966644,60.03852471200554,60.59050024574957,57.42059489948502,60.627920223854524,59.850894418022904,59.88293054955728,59.21229542461821,57.54676707296641,61.64487060336794,63.23894125086535,63.55406231389877,63.86648878599965,58.837600634799465,63.367914603797104,65.98890311865468,63.71266949972395,66.90197082482153,66.64408425326079,70.76932133649305,69.04513680395759,70.2545177533477,69.71516324208417,68.01552786133122,66.58089742755459,63.76841564405458,63.10785286438907,62.16513308657817,57.2659431769981,57.3289413828806,53.3758880072623,51.76767533754671,52.03686583519379,49.87853381438491,47.46043914725887,47.13320120358058,47.450249598710144,43.60417292845925,41.61832837677753,43.168106262845996,42.74029269813607,37.85140498063372,37.608238312739495,37.98438488060911,35.135470952124294,32.74776575188648,34.158890626910036,36.41900448717714,38.37521670277451,42.02558712702275,43.33945525379257,44.27841421477552,49.52810309333495,50.26314924313344,54.04299583882898,55.26257048300404,56.36406155930071,59.438336682271604,58.51682964567566,62.911696205636524,61.00783700877982,56.42177457448561,60.074376832271476,63.193906639725846,59.200248041801984,58.334896681628194,62.44428789654642,61.80425996431095,57.46509570986836,58.876582661218514,54.33942898947655,57.284527721592646,58.96258066601166,56.086552941913915,57.81422277840303,58.03097320879505,56.58046716987952,54.00637364030859,52.771003955478015,52.52523799173383,49.56222117827676,47.627987649349215,46.89949261985428,44.43927357743313,42.42672390816463,44.816253378616175,42.95259198482919,38.6044403950453,40.224135026130476,43.093307999073645,44.18317574963194,48.215368442168426,49.7894288933113,53.2675220938486,49.82793182711774,46.712533992148835,51.73860607844667,51.82739474571025,48.531612415187055,50.13252349124427,54.95439245982872,52.20672091091491,48.90177847550688,53.18439937306608,56.05434867740158,52.84930628486999,50.1725288775801,45.89815100061971,48.15878394547856,44.09982262971789,42.22287219161643,39.23757945889645,40.13073745010483,36.55161876979341,36.67270402225944,40.1149444091579,43.11267450773571,45.39326173761442,46.26047024812293,44.384311155210064,48.32016055166605,45.68020249814849,41.51847281364781,44.01096208260583,43.71621801074038,42.51816665203695,40.27783638446078,37.80568456547704,37.43338345456458,38.082296870701285,32.853117508255735,33.168363184335014,35.13805164112583,36.01855091046669,36.28951610247032,37.443150810984775],[29.329308300246755,31.61823209406853,36.01918414024574,34.50549776922902,39.91605914262712,36.61245572778691,39.32865864707753,40.95356753525465,38.46521406345008,41.22416740124087,41.53641113383334,43.049543415350776,46.21026358608692,43.61359521749737,47.305355776321946,49.843027034996894,50.33714361524711,54.07670161644573,56.68103795097208,59.912210349025614,62.89545435143037,67.19807976404297,67.76538714780942,67.29746604909606,65.15167297480545,60.766456960207414,59.297497573534564,55.02375687527119,55.094764546032955,54.04587364440635,54.56898125897142,54.488686494306506,56.130243161853194,60.29651977201312,59.780548843315486,59.18865442700358,58.78550174562795,60.782824591437745,61.231011892980526,67.00869085067363,64.84457542193422,65.18068994547448,69.35301793359744,70.16068113270414,71.89675425716334,72.08178065520691,75.81259038343313,74.63040857703332,72.0185056286439,76.27749158144047,76.76165860486694,76.62381194039942,76.8607299374405,71.76448447930561,74.35539623372344,78.10567785407223,74.7769630963301,72.17142817633533,76.68094707913721,78.11901227625039,73.22134639042373,73.3027000473326,70.36979689715852,71.69618634985257,70.80407645880582,67.19460325681939,63.24896433007027,59.825009074809365,56.69919209691734,53.25855559271354,52.40439482918806,52.952153192852656,55.14359618391578,59.716162892366434,59.24057202416983,64.95227293139297,65.63058910183236,67.44654058157649,67.77710077335203,70.03325714465649,68.1089485245973,68.58654773814197,65.08789505582808,67.49933084785759,66.03838082076757,63.129398581886,64.60980770240536,64.07860508661204,63.50733658997921,64.4799400518182,61.603385327546725,62.74097603225926,58.858747355522084,56.407069945069395,52.403035574221406,50.602727702837306,47.081850776487094,50.545969380156095,48.34592148728742,48.33853846329856,53.02541578194994,52.40828152898764,56.15597528838484,54.40890695501265,58.620985223016035,54.44476609730017,56.362686596322575,56.38544394976479,52.02212162387655,51.30127493449976,47.026081621264886,48.750224212165286,45.01990573550652,46.905941584604264,46.34294700436677,47.33089754947344,49.962100874670746,51.81641601986019,53.764796153228865,51.49442016733819,48.436295503068514,45.675659007981686,45.18642907635664,43.52585911057466,41.533259548879286,45.35904793839033,43.362209346080256,47.843745244097526,50.0451354512475,54.77382633214867,54.05007502405602,57.63327801581723,59.66832273888612,60.49729038724673,57.28555518795855,54.29248681118441,50.82785035017252,51.27347146400032,50.34024826033932,52.26674491265846,51.99219598924704,56.280364450789556,55.802410867124244,53.73784289929229,57.22168474794181,55.24771302765845,52.412938290422225,50.79483292239137,50.15016442267253,46.1236488076949,46.57136104218584,43.491237921766995,46.36973159731899,42.18133930050717,44.2937391405587,47.55572760183254,47.63033195530123,49.44747867003677,51.23408518302996,52.40473743019668,54.24612602418638,56.49717014121837,56.2047947209588,60.52638700225838,62.0047689779438,59.17437134757469,62.99900729940214,64.80414419365401,63.19545364103601,59.27306807019817,60.00814863826449,56.79162716701094,60.125370220715325,59.52658864487412,59.66602715409838,59.22857155866236,57.470559168962026,61.802049795145706,63.15807988857682,63.597482287769395,63.65686729070317,58.81941137849936,63.31638519642404,65.83800266641546,63.410237142488214,66.48415403899425,66.06533842883773,70.16828678811879,68.2093658054098,69.62086163604724,69.07562548015746,67.5807890197978,66.17990539244249,63.47399217640575,62.96521727149686,62.121200011216935,57.2073083866617,57.5267163447386,53.658796489622894,52.181910636150384,52.71660270439723,50.67639611018321,48.02547563242628,47.732787857042,48.37625252739936,44.4741610373992,42.13827761664868,44.03107937984518,43.974783807104416,38.77843364093509,38.53082735698519,39.254401201700475,36.410538753330904,33.69766531418251,35.317122406109746,37.30298518381883,39.72507794143168,42.822822657687794,44.297505324445765,45.54053372746297,50.80449194416814,51.7888527190609,55.445276978477004,56.74292662571699,57.67088004687698,60.76307469428324,59.717927759194154,64.05272793791337,62.13660512019592,57.352997313982385,60.967273081467944,64.02483378659777,59.91283316874626,58.94203216318197,62.976905011355484,62.25135072349191,57.85697904618481,59.092939613467294,54.77405626477478,57.810008185750206,59.69381455523862,57.06335466566477,58.87802888868527,59.37206194930519,57.76337811320131,55.01725119876507,54.118234410166444,53.94484203609787,50.723494613765816,48.86129440121061,48.438072092592435,45.968470612789815,43.79279402614981,46.45241418387995,44.77917701211475,40.27685752385553,41.88264653591485,44.929954714800914,45.788911949829284,49.81798409256674,51.18644321948566,54.68640409112091,51.31619409802383,47.906461482246414,52.86712635127145,52.99103974063914,49.60295697044339,50.93523897978421,55.87279145771448,53.08161873873844,49.531180587252805,53.72094362826915,56.71011591364542,53.41302534531468,50.56778489001004,46.186715153146245,48.38067131061314,44.15226526239169,42.65892271453452,39.466566423000636,40.590736599729375,36.96834515931355,36.70473643008618,40.124046053353894,43.03820573090102,45.33934652210674,46.527918916352455,44.5331579486171,48.51465342034331,45.72459650989441,41.9829040426907,44.61816688861674,44.627699650910635,43.314572109652055,40.80978041816093,38.717712375363604,38.45257971450635,38.589958031680546,33.5097782292869,34.287255985492926,36.155551158329956,36.85747406030389,37.066573919999506,38.324961634291725],[32.12824652709131,34.454603634549215,38.826237105460535,37.12283250963859,42.42531491303207,38.68516618386699,41.16565249550584,42.46462586208343,39.715784861719726,42.39100002900195,42.34201900796528,43.72561324760051,47.185633581781524,44.51291194525862,47.877419479280896,50.53221520741397,51.30701704835975,54.87998021555434,57.58855110841127,60.87208855553308,63.813739338342955,68.19861340473615,68.75988613968111,68.47561601548702,66.40071232164567,61.967648628415134,60.56793097172393,56.278357288371474,56.123257664827044,54.978077541790086,55.017222590494626,55.088807539822895,56.41300111319297,60.53772020392276,60.32532554728417,59.91356665560015,59.68982303606243,61.91313349325317,62.58701050587603,68.46484814653519,66.34918248315566,66.40277451261117,70.55279505849104,71.55709994016853,73.31738020315998,73.69423243874505,77.37884615771465,76.09202818749327,73.69370048686363,78.02303630861131,78.30885698749256,78.2024933514937,78.25649609408809,73.18566812894014,75.52609228837797,79.26282987229223,75.96414281807687,73.1569431754289,77.57030689325616,79.15590067925893,74.15363641260875,73.95177514606054,70.8874249494722,72.17661970739103,71.55247755601174,67.9652199715564,63.8922484045738,60.41086570387712,57.290967839464486,53.70043143529685,52.892195625145064,53.19352739447044,55.32482738297401,60.00259813428367,59.53524435357406,65.06817467479289,66.05823088445321,67.6922741394778,68.27471755630256,70.74954908609469,68.93804650292682,69.69300668648853,66.17427474854395,68.81557058421777,67.49119605741856,64.35750793424627,65.6593297278949,64.90449369167784,64.21969972511845,64.84921598332106,61.90158113411064,62.75170550477196,58.86463781291075,56.42307164208302,52.62205435438729,50.55570997486368,47.26370358935781,50.8213150285067,48.8034035351086,48.754323365936884,53.65556882563023,53.35255768963977,57.18024976989863,55.75732795184037,60.263334700756914,56.25692030477823,58.27236260353622,58.56063102863735,54.289644675492355,53.28798198327401,49.08923272701299,50.64994446111552,46.753648595349716,48.69054204381324,47.795291520134874,48.942192021442814,51.34654289174267,53.283178627719714,54.91230174818084,52.49968877253722,49.519774471826,46.84697449817935,46.728125852092276,45.17084841823781,43.27522177023266,47.39501577348955,45.49763332868371,50.0010347073291,52.30651866582123,56.94262850248075,56.57631784760464,60.10433496613776,62.157156480457196,62.72816010716537,59.65478008086595,56.48292327480958,53.32718054248837,53.57758017686683,52.57279897033053,54.265886313359516,53.999235107959095,58.20375895254058,57.468462804365785,55.42965943599836,58.810985594839075,56.67556642872516,53.96147444684215,52.21234761634941,51.664292010578414,47.543441109746425,48.04704660904632,44.64914803023334,47.405683646605965,42.91696000651274,44.83573498911182,48.32930636385745,48.54930788471822,50.6394132115961,52.3486665429679,53.92956792192281,55.962628281961294,57.94490317777856,57.9774711070821,62.17378676721169,63.91167125360586,61.337918932818425,65.21103619981878,67.152686852315,65.67832435342862,61.703428022213295,62.3445582924069,58.95805709380943,62.08354727169312,61.333133845098274,61.25344960431884,60.70191674349249,58.690854141942154,63.01507170701087,64.55881578728528,65.13230981450903,65.41381463748978,60.674282383557795,65.3706541297048,68.00061327735035,65.58230611618977,68.422039273973,67.83555847511741,72.04436674181912,70.24889643814774,71.8039911387943,71.44150660164539,69.8956101133543,68.69460472844374,66.04312859340416,65.60151589784446,64.90758540970769,59.97319301966487,60.277218544683315,56.485979582679875,54.77497852413409,55.419732626864274,53.14145099457195,50.538155448119106,50.54056108144122,51.06813559848905,47.02056795972048,45.026966163076786,46.93521057351984,46.551876319812706,41.46423903553779,41.45920712407394,42.07138186522175,38.98444952031494,36.59055906085594,38.38255508323706,40.49876421616708,42.78607367238716,46.22738530997516,47.483269253289514,48.628202910390364,53.924361855151034,54.872475488651894,58.52991841269156,59.609275725328516,60.52622151467279,63.50632688896492,62.33284365956286,66.78313962376552,65.0415576175698,60.23178826731345,63.7443904639812,66.99661853993797,62.98800228329308,61.901744462110656,65.91033595849103,65.42711371832942,61.051308545600996,62.08038095494946,57.71681853700414,60.45854032041374,62.33277774051281,59.62497949393447,61.21278601839505,61.584185797503885,59.8222282200055,57.31133662989043,56.38134219310579,55.92106548501366,52.77581540332038,51.15588488495006,50.50931601703516,47.910020832755734,46.02643616043246,48.72153486327895,46.820176529957884,42.37028002064497,44.30136035280856,47.31987935926421,48.38683450240232,52.350108942621965,53.69148253368346,57.3188476050982,54.08053846085112,50.7159043424997,55.674826091343455,55.9857905550516,52.663718808802535,53.970127145914624,58.99233655339624,56.375855999485445,52.81388971130416,56.94090678033166,60.056334505244024,56.89185442017426,54.03433955635946,49.632179752017194,52.0152008612457,47.80853635666369,46.25680816065626,42.95670955491707,43.84805093415738,40.05577059822981,40.04531608958666,43.41475739731909,46.45685077815693,48.60631741847075,49.64924753365702,47.38182660852404,51.233528760346196,48.24263613294438,44.46068237236376,46.84028582895635,46.769250025248354,45.12553585661337,42.93916045476693,40.89959184468772,40.24108729360422,40.37729015917081,35.490108232234924,35.936144879317844,37.531613356590604,38.04522012138293,38.061347330337135,39.08278434657225],[27.843610697646238,29.984090844658343,34.1475150574939,32.127885336033394,37.3916200249242,33.52618517275362,35.88288972868538,37.247250319515494,34.419464670113975,37.0311429349624,37.057353708028,38.550913339403316,41.87211286712205,39.18293553345713,42.64891852885255,45.279764772619416,45.96628080103989,49.58657826928408,52.30271243948363,55.54949676068176,58.5256240211732,62.882766998019584,63.481080894707645,63.19066950930652,61.06150899076966,56.638597894957655,55.194493827289435,50.89959806630914,50.77415683258981,49.6687671312305,49.846674725705455,49.91432659321891,51.380013143939124,55.493516464771105,55.153575071197416,54.6527813885328,54.41300224951376,56.55289714536644,57.19726217323918,63.07737395726783,60.949302577961404,61.03146234384018,65.1829903146107,66.17225254573289,67.95527976949799,68.34158194449589,72.02244534945544,70.70712619566106,68.30699723630963,72.63693934560025,72.91531342826177,72.81484171695591,72.87738995169597,67.79685239682073,70.18861504932538,73.90953342120899,70.59691966722613,67.8314216249803,72.27264809401014,73.82081152071227,68.84209476229749,68.72220131509778,65.6984775646067,67.02200194383035,66.30534025748779,62.6925193728212,58.68277059359513,55.19861779285064,52.11137999435822,48.55453803706482,47.76924670283257,48.21971700109256,50.31483744807081,54.956855586156365,54.43848103123608,60.05812524721983,60.90095914109927,62.618775518905814,63.09823729770287,65.4969452081459,63.679503837493904,64.37392490803039,60.91067182583467,63.523451656974025,62.1410490717281,59.01964802725766,60.322798020087845,59.65295556734272,58.96333021199788,59.738131500598996,56.79957936233184,57.78945279741483,53.904000857030695,51.47059956896979,47.560669374434596,45.62580622859458,42.20821891143103,45.78741213107934,43.737197536652516,43.87254469704638,48.58627268502054,48.329942030904434,52.01972514329356,50.63795371316764,55.1010599245167,51.10235688500992,53.25899363572885,53.569934059880076,49.335225611403075,48.267354219625446,44.00720731090086,45.40633822640959,41.453342167573204,43.32433426657438,42.39575001085798,43.54033481214727,45.957906157140776,47.95760788253216,49.61930045440884,47.179420930768615,44.20261750664293,41.48674787267462,41.36024032371038,39.773369612521016,37.88415177013997,42.05458183479037,40.272301516216345,44.7651126208984,47.155049599242616,51.80596367540547,51.55691157496153,55.14156513350587,57.08985275672192,57.60778257352202,54.48362851137738,51.22842991322685,48.185153144412325,48.311855821068015,47.2705459636383,48.906059283627435,48.6846338446815,52.89600680576194,52.110925567839914,50.043672813462244,53.41581338247618,51.27597301415611,48.5579633485969,46.833858622559696,46.331245707124275,42.24315243668684,42.87824968965372,39.54861875024767,42.51760815015052,38.222199504327826,40.00671932014339,43.36181482786144,43.40968985195496,45.50493188896784,47.10373869948362,48.68055904594383,50.621925467741235,52.57053019705776,52.58648749539544,56.78082150412134,58.53296798005927,56.016420859756735,59.89720107959899,61.887524821685304,60.46376613700768,56.46786893622841,57.081097622222465,53.638436219042205,56.72884712504053,55.98640652738975,55.91528947814236,55.43065417656781,53.405733833850164,57.80844854297828,59.257651962607994,59.86883703638883,60.085645625539954,55.417516168399246,60.13675891556746,62.761064367132214,60.308669985303105,63.07308087400115,62.447891999239076,66.66801695332624,64.89370309057783,66.48460271719067,66.18220256840996,64.64221504286171,63.52744678635126,60.92744993807146,60.56773921560908,60.00590028980897,55.05533038737501,55.466845743814645,51.79059421142422,50.00409198841559,50.90912991507673,48.57699194883424,45.83123930851403,46.06605303516128,46.78123440748624,42.59420276929549,40.587864747901804,42.799486211911415,42.52290279123388,37.22820347275251,37.44845511447765,38.34426975250879,35.05804855333575,32.61621533861095,34.86128215125217,36.80335581755397,39.49618342874267,42.73333802541843,43.79987837740877,45.20082187789533,50.54057903933547,51.87003108602248,55.28249226200859,56.15530239685101,56.8012180606505,59.67161639641331,58.237543468211825,62.706657944429026,61.12906159161932,56.0855330450349,59.45648232157525,62.827439033400985,58.82988752869628,57.532693901997135,61.44805609374009,61.155519429302224,56.77012992151758,57.467096096920834,53.21323497268641,55.78084298567569,57.79964576968447,55.26219261445798,56.79126844584936,57.382794747927065,55.39452468425757,52.829679961335856,52.22924901411735,51.71929763977195,48.34415117498697,46.915676585691934,46.50731935179718,43.853982276096694,41.924655735799796,44.96403969081558,43.20427398389176,38.60317209918365,40.71513811981485,43.96606407906956,44.858466474820595,48.73355017264005,49.76858822769299,53.51975709223715,50.52704796167222,46.82785822893058,51.68789555195856,52.25257766850146,48.91471683540983,49.88369772057373,55.116415546876134,52.725396309876324,48.88861599724464,52.82597218634491,56.228591878213734,53.22083846046526,50.18879230405318,45.681251435930285,48.37800883004441,44.11416314575826,42.7629318250013,39.08838427024546,39.78524830901986,35.774955612048714,35.832671652409175,39.094506102910955,42.25517367879958,44.193949816648875,45.24094790523974,42.65797655741881,46.42517116785761,43.24897762633276,39.69213829199349,42.035648011773134,42.168440932338896,40.33730963220094,38.06578960913604,36.34457263899628,35.65016128104334,35.39977438178923,30.68100335197905,31.410844375430948,32.89332455326349,33.265335838406,33.26211313212223,34.4114150807112],[33.94272440381365,35.9851930266903,39.96311175444518,37.54121769560343,42.74126010204753,38.60828456468241,40.55685000226383,41.76025384614486,38.481221824621755,40.663331594736704,40.26833069553069,41.868088893652086,45.26865494964061,42.21763342951154,45.304808771591915,48.184393661891455,48.99238740145097,52.239374796346446,54.77438901576724,58.263323764909366,60.983850696531285,65.49272676042821,65.88214434992524,65.70299184778868,63.863988180674966,59.37741881101776,58.25997774753289,54.03171402331868,53.83385338183756,52.87531702143196,52.311238145665016,52.903312878317976,53.99933167650736,57.890294627234184,57.93787167088186,57.47357666278348,57.67506303320575,59.79795245159439,60.67252782268794,66.73573714449017,64.39594071743302,64.0824987326189,68.26752455654372,69.3751933562727,70.99645954622274,71.54272077962165,75.17052495005824,73.9251471064289,71.81716842161131,76.27663885915047,76.45108601027387,76.5319516644014,76.41311018317677,71.35517756815716,73.59278383182776,77.12330172299515,73.70604413367386,70.83390493283568,75.15646091539806,76.67450912482889,71.50812500875878,71.04253830917777,67.9603454400314,68.9673613503866,68.58961609536439,65.17510417729521,60.79905937679473,57.423669958473546,54.11324243892741,50.51787042987379,49.578016492535866,49.53365064235515,51.80714453426207,56.50270691632035,56.31556611754836,61.70161842432748,63.06687210997787,64.70779384752305,65.5717370385363,68.23024032248506,66.76489807849825,67.79460333767184,64.52848729056521,67.40444501389375,66.01992226247381,62.62533552877546,63.52803221471586,62.79327867962272,61.697622928880314,62.19161787020848,58.99789343738331,59.51070663761051,55.70431154010548,53.48096810816076,49.861613477731524,47.561960847561494,44.4656571009115,48.453681249881484,46.800161573856634,47.21552626305394,51.95037230264629,52.30519333555515,55.85672211427171,54.99780399393735,59.686221840192495,55.87898469153415,58.289740994307564,58.803129332893185,54.67717974751655,53.37291731358425,49.114409946871305,50.12376458827208,45.95032227036178,47.59558113193904,46.12884902654922,47.21448798843889,49.24065930215597,50.95755331548033,52.208163763650944,49.872839964804335,46.904380163910716,44.48675549939006,44.685491940172675,43.48399090150069,41.989745047690924,46.49045689661824,45.18477826567808,49.61809287672741,52.213163218008994,56.8381527664594,56.873561811456526,60.523278825985635,62.29754249148276,62.66655061580814,59.47323275823284,55.99879160397893,53.22329632578286,52.961149228853735,51.638731390810165,53.01984695061451,52.442965882942026,56.409461642506244,55.447035074093954,53.613984851239664,56.908592064854545,54.81632145818888,52.280763835968564,50.65230322877681,50.47392549429703,46.414181457988725,47.37440557545723,43.80022512299713,46.83756523598371,42.358676530592845,43.691219871387425,47.200078984804925,47.20070651314667,49.68608788641353,50.93703036410372,53.030632106454966,54.898220010710354,56.395011988630586,56.567264284926715,60.66140512056022,62.50606107423699,60.16018980740304,64.22326593435368,66.18593051346244,65.05303634109798,60.9995929146427,61.683010352764754,58.05292525230388,61.011471023330245,60.26595399965155,60.04052316524386,59.6216319876206,57.23772033801081,61.78842207750311,63.25451159464164,64.11943992278319,64.37748623335844,60.007922303542585,64.87942122978843,67.51949627698654,64.96774241652753,67.36768723001313,66.41386211257971,70.70267313434782,68.90541639697473,70.83200069048495,70.71123622516744,69.3083070808793,68.42398582119365,65.97684018734338,65.79944466114428,65.44376676430213,60.493485334264875,61.068443129228996,57.5232449370409,55.64546259687907,56.78304051560132,54.341244348347686,51.528075379835556,52.00099243291399,52.78492055446681,48.494513523956925,46.57039383035838,48.92996113119602,48.58493666490669,43.2843997490815,43.63893540723215,44.5701612986841,41.16862906412908,38.82185051073974,41.170839191883076,43.092076216384676,45.81207267438973,49.02127881371022,50.08133951729324,51.50985443994095,56.85519882530377,58.176181360501715,61.594020512138435,62.399706062278646,63.00615211236105,65.80861255395688,64.25305466676372,68.76447643845951,67.2955585419936,62.17529859529698,65.45161302168498,68.91143180273858,64.93178968646664,63.518175470254384,67.36397705456493,67.17333035379978,62.78137562291118,63.24674945298732,59.11187863854067,61.50496087132783,63.61822124457266,61.155074730220754,62.53504088031335,63.13836022605662,60.95787479931126,58.533713178919655,58.052806401517785,57.326988648562015,53.92987801676348,52.74804610365848,52.26664113932939,49.51526544755821,47.78556152573809,50.910658422194444,49.02694401123641,44.45915644128655,46.78309593752927,50.0260281489954,51.00958936863788,54.835580977670425,55.801339155865556,59.628526031198405,56.7338568520089,53.00070976805557,57.82290024453683,58.495107992247455,55.16990529381345,56.0326854920691,61.33483447235914,58.99719732182522,55.08125877412245,58.939467564344675,62.43607908275063,59.42796330785227,56.332660584474546,51.782764491667656,54.46428651507206,50.1290354828982,48.95098262635051,45.19756961312694,45.93150233865555,41.84962182677735,41.81439058811423,45.02099807271161,48.161530002948474,50.036498943985364,51.19472350875728,48.38502068986234,52.05949258455048,48.640763519371504,45.35577229231863,47.538498602707975,47.76115634631081,45.58092330092944,43.48427410731532,42.02626178126397,41.039163514208305,40.508709231837265,36.12395306584152,36.750717241120505,37.904306151734914,37.952264464018235,37.68116158186223,38.572780934796214],[34.68293414017013,37.03956040186108,41.322989551058534,39.433157089323906,44.51564018115823,40.21759115367904,42.3847913837846,43.20429750187624,40.19904945335157,42.79477714154767,42.283902270755156,43.418516921273074,47.275213828050695,44.610717823914484,47.502117198599905,50.24628856672377,51.427259862808604,54.79652727578708,57.70189011903902,60.96844846003859,63.89253974521878,68.33624686507322,68.94667470352721,68.93475923263259,66.90195966829077,62.443266977685965,61.07123612834653,56.774945107700596,56.27790162447483,54.95297674738011,54.41472800098479,54.59728099086126,55.50358931284054,59.57945296256443,59.74824160959171,59.61304663989565,59.56541818026365,62.13047187174703,63.10135737765574,69.05137052299843,67.08296774478553,66.78781067975378,70.86569386837292,72.14936939195077,73.98166574874031,74.61978747568467,78.22685277479428,76.7609837826364,74.6402922820568,79.0320133434433,79.01664080488203,78.91793346954117,78.72701982639786,73.71423447463593,75.68084120930884,79.42498635632175,76.22093745512552,73.13024746539475,77.39936343188344,79.22129578236292,74.12782408388047,73.56653275817058,70.32568997218537,71.63871531763147,71.35250509837564,67.76531304128605,63.62168326169655,60.0434055951261,57.02876246582118,53.241644707369566,52.566317891708984,52.6160626873829,54.56631802656283,59.35329531840009,58.8033367969261,64.07032234245428,65.41057795953205,66.76359797077905,67.64145978295132,70.37762814911238,68.67116642473651,69.77936933626906,66.20723065758658,69.13333182132308,68.02755060670593,64.62488236189198,65.73215710404176,64.64732348070845,63.88826912427579,64.04299042637727,61.06964039101014,61.583253661411426,57.699004943896114,55.24207806735178,51.72345738745099,49.35270910513166,46.378974322334685,49.94485546255255,48.14557772622858,47.98995777305881,53.1463288653211,53.21224941664999,57.14472621393653,56.13041759525704,61.00280721139041,57.25025603951869,59.36262652388026,60.01892877714358,55.90091189159681,54.52027414419786,50.471878302672316,51.836514122985875,47.773872550359336,49.81598450855048,48.542856139800165,49.944049357661044,52.06242707417947,54.18928324553858,55.40959393352197,52.7593597988707,49.93981770438197,47.35657775859024,47.74609712387883,46.266142846072924,44.44746658927474,48.89131393409086,47.0604355654662,51.561548176797515,53.965281919189756,58.43035148364695,58.57073067383133,61.98192633462309,64.07862774253434,64.26982179300435,61.44245326382459,58.057006279554535,55.34755765440271,55.381171280281535,54.342005984305054,55.715028698596086,55.56753218146368,59.67016203422028,58.567126864679864,56.52065398387067,59.72738309121655,57.33725590733819,54.79370710528551,52.8309087658247,52.365640028254475,48.14136587084276,48.66395713242748,44.880867373541754,47.422975607038595,42.59113696153343,44.25995767448962,48.01600342147423,48.45290282711547,50.85776025413527,52.49462875316062,54.583684871365904,56.90685692776294,58.55425571485977,59.06483417091655,63.05338561562608,65.17194736757017,62.9940078283327,66.86766184065559,69.03342002644236,67.71057522821378,63.6872055412588,64.15261477899281,60.560298833913706,63.360893633125194,62.375800872748314,61.9874843277687,61.25007825536432,58.936902459790545,63.190704198421805,65.00683315833032,65.73506828596983,66.34860311847653,61.73205666119567,66.67923172332065,69.45944585906999,67.09359649107051,69.6252027178905,68.85185518993005,73.187382197363,71.67914940117284,73.37153112448057,73.26033658078744,71.60858868383575,70.6810993970145,68.09918064965198,67.73325142696477,67.24804834400119,62.31038995173679,62.56414644202197,58.8990176874698,56.84208371592448,57.63981117281844,55.02663528020292,52.50930482529494,52.94140672740223,53.30209315787687,49.065115784867636,47.58175609418131,49.51015532845269,48.67322855967471,43.758800248623274,44.115631192672595,44.595290425479625,41.172432385235005,39.242226178658214,41.315243940827,43.586309583147475,45.71602863563128,49.618072588798015,50.51478847602487,51.546287401368325,56.87521921851322,57.84582072635096,61.439222758253315,62.15886205279301,63.01377845860916,65.80521577013909,64.42023589843632,69.02443605215097,67.5660456873223,62.70613594160345,66.04536901307463,69.58994218194555,65.75048775808018,64.48109241529419,68.43487660169856,68.34032134478687,64.00502815265514,64.71298182692354,60.29105837209716,62.57621424267284,64.42666242602782,61.626174728146715,62.87910262383549,63.0914745288833,61.10916113752055,58.93523910340913,57.99155600475177,57.132287381515475,54.09193901126558,52.832243221654174,51.90682598680883,49.14368495305753,47.6691062468738,50.434040456320645,48.25649877612343,43.89419922928187,46.277185693682796,49.27452816941416,50.59414831470828,54.42898477558311,55.68217996118763,59.48791671399422,56.48980626525506,53.15815567714692,58.08126571528607,58.69498995723374,55.48199891331627,56.710138835761946,61.86029987091535,59.54833113818851,55.95113569386676,59.95616997779579,63.28019977954316,60.35381096832857,57.46978448542983,53.04129917784703,55.758971811635675,51.6050692852325,49.95593933326577,46.475853208508276,46.977452215978225,42.94752516433891,43.34283597189768,46.614017213762246,49.85221202491972,51.74373056337275,52.5333136616363,49.88089037212036,53.519659481828064,50.27714786796697,46.43015413005669,48.43123714770908,48.24833254718936,46.179100859746676,44.443476257564484,42.494135274029645,41.31646958388854,41.464082369032916,36.91054496560971,36.913665058423085,38.11332587704956,38.37416682706977,38.12759911005336,38.8441598603162],[30.33765910024588,32.69710285345691,36.94521355933801,35.15169589115745,40.070272209407484,35.59468214658082,37.79415316677803,38.43162039213559,35.57115013265413,38.394169273568444,37.91519772804603,38.84977489169906,42.84524484570009,40.446881123773665,43.3480697307441,45.95630395882966,47.26354961650202,50.78326262027974,53.92753505116222,56.997414632670306,60.09858410373908,64.45295403920073,65.24946320337486,65.31140735926286,63.0845854294651,58.66883857386801,57.072400895835685,52.73494499314143,52.09732950934273,50.577941657899494,50.27259866567957,50.145984937385144,51.118990607557365,55.32285353232284,55.39119525077697,55.360203079212866,55.098295885180235,57.84143770898777,58.81165527804432,64.6643114655926,62.92850033167145,62.71920262315016,66.72711698469475,68.07928219243708,70.06908661335635,70.74338705946536,74.33849642797918,72.71666203972686,70.54901209999502,74.87681522817218,74.763077206988,74.54416366304933,74.34799723333764,69.35611845802599,71.23262971099383,75.10498256684893,72.02597803904307,68.86900976454572,73.14639604295684,75.10567587904953,70.1060308725655,69.61574259532664,66.33502773494189,67.89500526423652,67.52659628932683,63.796565262213285,59.896461625493785,56.18769536900147,53.40397943156437,49.54404569385452,49.06206239350779,49.36290627287966,51.071832308837344,55.86915532976196,55.02438169194496,60.33564461924302,61.45254062511752,62.73206819325703,63.468011930930935,66.1411049808676,64.2443438465913,65.29456787868465,61.575731438538206,64.46783866949387,63.47145089902383,60.11447852453798,61.38967979000311,60.1919680796964,59.67553132214642,59.80939833136064,57.00573567800789,57.71619531345752,53.776748046191145,51.16289800363148,47.56284388807526,45.31980298249484,42.26013656653519,45.54539075736733,43.58072006731884,43.22110173339749,48.45431712069664,48.31865344184729,52.364054117738775,51.23559899217988,56.144293786115306,52.42034920122409,54.44950879877198,55.18919669939456,51.11327478361934,49.652955153116714,45.6921954213543,47.155728175663114,43.146506877667704,45.384429521519536,44.25129191307596,45.844964849206335,48.05979037687997,50.51117346306769,51.78346826612789,48.91512959997512,46.19399621958975,43.4516047368152,43.92282643154787,42.21939059199098,40.18424033124983,44.5875417037779,42.51039187242145,47.02051634228473,49.35460530036182,53.71907615647215,54.00376423872804,57.30166764117566,59.50419393347497,59.557068731044275,56.91955093678782,53.547223927232544,50.96861091815975,51.105129973027005,50.237284808430374,51.57060614135413,51.75802356130609,55.947968446800665,54.740861084430854,52.52465335701075,55.668210344177716,53.09991614953293,50.537198113033924,48.39145469240422,47.76345908389416,43.47872427113417,43.81966020914689,40.0016096710778,42.42310771353496,37.57295841467101,39.3736077447476,43.13380237871945,43.68202439316034,45.999341061073245,47.80151498703375,49.826107705188235,52.341089914228114,54.09096066315879,54.76923484318879,58.69210759431442,60.967189033616485,58.928136067581825,62.66396620843466,64.98683373554356,63.57102412983094,59.57035445580793,59.8715584235227,56.284638443507276,58.96300931164371,57.847242881884966,57.3894456887006,56.520169614128676,54.28227598879595,58.411567832141266,60.33796572195051,60.988581366741144,61.74425894251382,57.025362016999466,62.0082465924998,64.85589446960249,62.584178246412286,65.16093605931984,64.49749127503827,68.85038340374591,67.53458574341752,69.08159267006522,69.00743577943003,67.20836110034227,66.30764578581262,63.68580814563289,63.26338429477318,62.800156366269626,57.877474731763044,58.018966387445104,54.38981266840977,52.17539607654831,52.98019488153013,50.23552854306334,47.78644122458848,48.38477368452316,48.649184558003284,44.34710575779925,43.13390076671251,45.04558823279742,44.00940528971646,39.17802109478255,39.732606347926335,40.18035018816275,36.588908488364495,34.899488944386185,37.18140868854055,39.49727637459775,41.614872289293885,45.73718260747986,46.35522592951562,47.369667628409154,52.70563835204105,53.81737390657118,57.274397301741395,57.76179449858795,58.51711414400771,61.20096543965153,59.69339119308325,64.35298573899955,63.04109672013725,58.14293157641308,61.39005774483994,65.07224864104137,61.334280221379004,59.974813660257354,63.90312716842193,64.0239252811688,59.732845394953955,60.303323572579366,55.816194016969035,57.88598034073532,59.69744720879667,56.85386182846917,57.99100591224912,58.17544534176657,56.12528760099061,54.04121763484002,53.11528941710631,52.15505535452007,49.12450663836136,47.97435623966085,47.00905587316292,44.204001331082644,42.83104865785126,45.67867353903118,43.46927362616391,39.0992570882842,41.663362740831715,44.71720155199793,46.06678965947187,49.819266049320966,50.96577166975104,54.85445220927171,52.01860353533677,48.63711668702852,53.513702238133796,54.31225515614025,51.16462176896752,52.30882531506154,57.530974118736545,55.44249076490213,51.81286302254243,55.72011219763097,59.17945886863251,56.45593554993296,53.56170469090623,49.14373862539141,52.14780935773193,48.088796745397964,46.33257616856177,42.71589581713419,42.888501504527554,38.73462989147905,39.471237358395015,42.65423929460498,46.03194458603962,47.73537153040735,48.285301319080865,45.47864174222117,48.997598992820045,45.735608027316516,41.75117191181237,43.59649532765876,43.34055688466696,41.198284766475815,39.61590788735727,37.64034112270988,36.32497726653459,36.57024688922459,32.07365022408587,31.927076264471925,33.060680126724776,33.3549969559348,33.115614156321186,33.85411119301479],[32.89531231833482,34.9289099761236,38.74905696341254,36.25661238073812,41.07560443154061,36.317741281823686,37.97105825865556,38.57005831622066,35.16612723838772,37.42979804790985,36.60815446407085,37.81065616681174,41.6888145616511,38.86774948784197,41.495512187698345,44.34645552305019,45.647644039174835,48.816037245561986,51.73955112457349,55.040885666915365,57.893163161024646,62.37714185488952,62.972210964490216,63.11543082585678,61.15116312897394,56.68415453774461,55.40203186583823,51.14191921349262,50.49820486528331,49.210900918468695,48.280801574681426,48.73215804597068,49.481426421677064,53.42470874822366,53.75386266197468,53.63755147166516,53.83294230651513,56.42235331066174,57.57689183644015,63.61693223562066,61.6151830425005,61.04592887973142,65.0985587326637,66.52550662281678,68.3486706413499,69.17143150975586,72.71063804248121,71.1634283010881,69.27684604236791,73.7340781183715,73.54661119451737,73.53066069299267,73.1809906791726,68.20146424274569,70.01230522992965,73.65207742334839,70.43026970446381,67.23868858028253,71.42893647180952,73.28555420685701,68.11496459707702,67.36983846791955,64.08719753991498,65.32744594356947,65.20060065055885,61.66706035064162,57.434255733993304,53.854882444040385,50.84415912158451,46.99778566424368,46.35362891502055,46.278061507750586,48.16652430724348,52.9795579820434,52.460232686937545,57.629581112802285,59.140495821915,60.4529186478932,61.47885794780091,64.33217528136214,62.80953669921613,64.12223263499729,60.69289644819237,63.80460640735039,62.716013473031545,59.11089358561162,59.96619788466797,58.827365819693526,57.860764231796644,57.88667370403129,54.808419240187476,55.16266305960631,51.3116627031135,48.946185517698694,45.53344954073511,43.041659129697955,40.18789506846161,43.961447738191225,42.39548131236057,42.57003369434163,47.5828257069595,48.1408538669054,51.85979129385525,51.304636322389435,56.3492243656601,52.81664409518378,55.246612921135394,56.16282555439962,52.22978294178032,50.51805796495606,46.486561834347874,47.37997037451259,43.11077936500896,45.00229641312586,43.29265311385699,44.77761213878169,46.604911851977505,48.77180697096291,49.67682010510573,46.928032599418415,44.20636327193044,41.7477566740953,42.50732539109183,41.196251879508004,39.60449674017017,44.35789718275353,42.925134964075276,47.339048435535275,49.958608864535755,54.323771388932165,54.94214445773698,58.37999200345802,60.27276717469754,60.18022153263917,57.37775901252595,53.729711049427294,51.48680093238118,51.109094397205894,49.90412628081021,50.950395687106685,50.77133854064259,54.70183720703195,53.30860736055432,51.3282644653478,54.39467555698686,51.91648585445259,49.53451897234282,47.55783645292391,47.32963862257309,43.1408171426233,43.98175200896549,40.035528208923424,42.777977046254755,38.00471638184255,39.164154035040454,42.900816690548545,43.18018154149452,45.89356818921443,47.192131789662746,49.712190392714135,51.9978410060153,53.256055258938765,54.01714047616255,57.8508285440124,60.17926485965386,58.323896472954274,62.26134890513916,64.55907371193135,63.48770849214874,59.42071752929013,59.80142896780055,55.99672729539133,58.54244086110363,57.472197868192865,56.90140037596481,56.20441473887844,53.6009821254309,57.97751700106362,59.78287384979213,60.72879498330496,61.41099805876287,57.08575119063458,62.20529598617564,65.03221269398134,62.61262320844942,64.75977647222363,63.72560416041475,68.14145753788931,66.77603851002928,68.6997345956911,68.83939434044316,67.21922620377849,66.60873325277886,64.19715702059578,64.04124283497926,63.89129892356656,58.968145380801005,59.4030667799023,56.015141833598584,53.70741336711416,54.98719785270166,52.15286867065016,49.48271975890386,50.474023231843745,51.03357848524323,46.54820282704041,45.30128082788077,47.65392991898018,46.761215084187775,41.71450441169255,42.539135407420424,43.32821253954775,39.53464319847863,37.79451578835209,40.525330778091906,42.59557255289306,45.15707339064689,48.912618059493255,49.438014215946396,50.74772349568729,56.09872459751321,57.54610762426472,60.7853601361708,61.092516044188905,61.559196965184626,64.09927374649023,62.26059355860734,66.93512535981934,65.8410967752857,60.66300472278886,63.697405621518804,67.51521198282698,63.7814399320875,62.137587373779866,65.89876478118619,66.2298746036856,61.92542103839917,61.993554573196526,57.769245676819146,59.56873772436989,61.62439128168003,59.05709972741456,60.037659807434736,60.48372197572123,58.05023286092617,56.01017779086182,55.54659800520881,54.386538480542626,51.09931822314232,50.34272536414012,49.59650069880868,46.683461975224695,45.40755866843783,48.65036719441801,46.520451192882206,42.05634394418462,44.90070537698251,48.150176397424325,49.3635002691994,52.987034283136246,53.777562168604575,57.81026820215488,55.271710349034976,51.543052771441175,56.2691479466724,57.35258023191236,54.18907542445348,54.910680840299065,60.35981367147366,58.474071907534345,54.521528711990655,58.17899804449004,61.951704618693114,59.32504290408496,56.21341366236138,51.671454757124685,54.85829205234053,50.667958048008174,49.314596392411524,45.32469386189985,45.45558848759822,41.100758938841835,41.691810297680654,44.721408424867086,48.12725478595211,49.61780475970004,50.34928639592111,47.08839349419467,50.452816633723124,46.80769870949436,43.384342909770396,45.084253528525394,45.157559532146976,42.53297861016697,40.984563399400784,39.62257503594579,38.064217651104045,37.58992162765753,33.61548562254143,33.73825817181764,34.441377466618434,34.25054359176692,33.72846885570574,34.32494225410711],[36.367380458303536,38.58858183278881,42.58760574733573,40.34684349118566,45.11534547498912,40.27190916811883,41.9738657032696,42.32777709311543,39.00186111291739,41.368533343308435,40.36968485390883,41.31433795229096,45.456589125759315,42.76634743430528,45.13506333000119,47.96743510043504,49.51502342946329,52.607879207422705,55.65506290446564,58.902137892177684,61.76460310940131,66.2473239362772,66.8873486458147,67.15546130294841,65.19457012276727,60.73808877334624,59.43436376503544,55.177531712312145,54.3521676401169,52.90951296184057,51.74305489223487,52.126332304507486,52.61456409602103,56.566862191855286,57.117170337109165,57.216698050048926,57.412595754787596,60.245016065087185,61.520705022600566,67.53274823732814,65.67603395748449,64.99376632753203,68.98396462385095,70.54251070180324,72.41999699593613,73.33868997889878,76.84310542900724,75.20635709990636,73.4087618471049,77.85710609934738,77.53810792277389,77.47880197504493,77.03086334160399,72.09699834269047,73.69551344409223,77.38623571531484,74.26153346022173,70.9166149470015,75.0200049107759,77.03890669035565,71.8597095607634,70.9348286231969,67.54753114304546,68.84267692486318,68.8979425617489,65.35238404436784,61.13617897814101,57.50048506885471,54.59250166943509,50.64895189522561,50.09920614799561,49.88424237537316,51.64730217556638,56.50288192713579,55.90376364000545,60.87851671116197,62.57270177939281,63.67070189033843,64.84953507532911,67.83537210271662,66.29789436893954,67.76818024367198,64.23078465864005,67.44613693098617,66.52572365692924,62.844546188061436,63.68649692967954,62.31975872922985,61.41849819388898,61.12998213397363,58.10887013907471,58.271894576712334,54.42885545981406,52.01391134808027,48.80469742841463,46.147933021345,43.52487133433227,47.14573122865919,45.641204918183796,45.53193637931313,50.796452721696475,51.3628210056722,55.26391902643785,54.76958171676504,59.96854374772744,56.526617968500986,58.829153096488355,59.86899074539873,55.96515019504962,54.173028486491695,50.275737107207476,51.29117405620328,47.05428347525288,49.09782904758757,47.36795518863184,48.986539665210465,50.7472693352615,53.022639751748535,53.781396692419385,50.9232728861109,48.29670625761914,45.86192595556108,46.79258016902182,45.45569201532538,43.80715115638067,48.57468399130746,46.970926347865785,51.396354472303535,53.94346476245722,58.21006055941052,58.924550841053076,62.24107213895806,64.27740342721054,64.06537562417422,61.449625671917374,57.81624071719547,55.646725691130285,55.351978654397904,54.22766250906944,55.215980859331545,55.147331455598184,59.07242572042099,57.57919977598232,55.56838289119603,58.56069865700627,55.952742520601056,53.627213312216206,51.50747045772199,51.20716347415779,46.95433651967154,47.614038446041135,43.500100587056906,45.92264552792604,40.88906622141082,42.12796371116885,46.05302490257985,46.598882275799376,49.359315769246734,50.78728211789554,53.43680637203311,55.95466364450612,57.1708550613447,58.15180946260183,61.89161831326776,64.37839274213835,62.64384103291195,66.52538904685446,68.90299195412325,67.80257349199701,63.74442311400721,64.04191959535636,60.22864872467852,62.66159895553805,61.466816113713215,60.76651818660764,59.90463859328861,57.24940124726006,61.470735312940825,63.487669954545844,64.42236843319117,65.32058458521352,60.9437532544102,66.12833842848205,69.02942536248334,66.69079760457096,68.81785513389778,67.7965608411183,72.24447181405444,71.02191511136878,72.90769314002043,73.09116574127074,71.3782282036211,70.79178974403307,68.34169536180201,68.11889294631074,67.92640594273503,63.01409575946261,63.30212111572865,59.85863605797341,57.457751847484175,58.55896192998637,55.62406822639608,53.124234247728296,54.09304725666226,54.41108179467169,49.963431830917024,48.95329631961337,51.05389118898479,49.87343384989257,45.06768101432758,45.86389071364678,46.37083717865048,42.590026112968786,41.07589409154788,43.58637658607007,45.86881853190234,48.05245910915319,52.19475332259031,52.68881562006142,53.748489452068966,59.08721660217883,60.26616015828068,63.65482383577074,63.94514593190514,64.59369266863139,67.13401481417547,65.411756109497,70.14169696208953,69.04573609324221,64.03637061046047,67.11118457389168,70.96954595517688,67.30913537403052,65.75818779142327,69.58001189223334,69.9415765487554,65.66300908273863,65.87538573462811,61.508487074910704,63.250872480176625,65.15985014184761,62.39764440993923,63.283764122242516,63.47171263860566,61.14679516702345,59.29446160334627,58.54127737814366,57.2627324305486,54.220981397923644,53.44399253172546,52.38930191643248,49.462293292923874,48.3851862422489,51.375742927157916,49.028187538088574,44.72632590596337,47.60599686178559,50.66880878837658,52.12010263675629,55.75428602030741,56.74750809430173,60.757834995784975,58.13605573188891,54.682877972228326,59.47586027062852,60.49706671417491,57.39527223015602,58.356522789572026,63.69949961783819,61.785355314540354,58.03239678469805,61.79429633117062,65.4381327289145,62.81058146932211,59.82484934650366,55.34828668186556,58.477168781511516,54.356259654131016,52.76772999494675,48.97418250114973,49.05891483058132,44.761349701978006,45.510498420017115,48.59785819809746,52.02070492442567,53.56387679250132,54.1477346337282,50.99209608362581,54.34263749023726,50.7772687823445,47.08259486034858,48.664876961647046,48.50204129372303,45.90581013726164,44.603983192103335,42.975050417775584,41.26816773476341,41.1758677807173,37.157857758529374,36.87028881219858,37.5554122474688,37.433255139878966,36.880688120656046,37.2870249704577],[33.88288168515845,36.39569164842754,40.74455691668425,39.199783983231015,43.961845824329785,39.31610670294956,41.49021317555493,41.771376770450104,38.97394688574053,41.8963360727875,41.1689555486492,41.78017062151597,46.10975745389891,43.88108371835269,46.44977792646436,49.03020953261326,50.6607309335723,54.093603392943805,57.424089389043864,60.406521054863504,63.543752857162794,67.88943973677407,68.76886827037374,69.00415031864092,66.7554926959195,62.354032519825076,60.70517668649266,56.36837692429334,55.478056341079615,53.748783869526626,53.16033426578571,52.93224508965079,53.59365473559081,57.81850870625784,58.14433443482709,58.38649476011106,58.114559299776566,61.176393853243475,62.310569642926545,68.1222123546503,66.59407708356052,66.23733506598178,70.15845050520838,71.69227178664417,73.77510339519976,74.58651437833535,78.1360562941542,76.37223421249008,74.32170499621148,78.63887568225118,78.33410985750149,78.0487424135856,77.71866326460221,72.78721681057561,74.38004499527709,78.32683636713152,75.38292306032005,72.02255282514895,76.19308148415836,78.37321013265692,73.36992685613474,72.66474285429744,69.24765669691295,70.91287064052119,70.75497269982166,66.98735977355715,63.13640943101916,59.335899098942846,56.70555684870535,52.71059027332891,52.37035106686689,52.53829628311463,54.061318993666475,58.919507280817214,57.9347760272481,63.022823927735246,64.3321778000252,65.34578929439195,66.24874588148916,69.07780007047458,67.14650726644315,68.39321399327034,64.53587042447775,67.56330703150708,66.788064930488,63.32839779648713,64.59020446815785,63.09755155102267,62.6802460983754,62.42928571225539,59.71082518141597,60.219059710837115,56.27798416462922,53.585957132631435,50.21688181503787,47.788840099202304,44.9900463817604,48.07965263570639,46.18657682002691,45.492625248398056,51.01904702713716,50.91262885130343,55.167505873201875,54.14463709775809,59.25710967614914,55.680174396813314,57.57102703930696,58.50235713647895,54.5031674432613,52.89710536434045,49.12975175952174,50.69254250462431,46.71272464608328,49.13589109770592,47.941824078273086,49.73069618837075,51.84333956948354,54.475220625078855,55.54787445056218,52.50453113568984,49.91708472734368,47.19235395263256,47.9264383852177,46.18646725683754,44.09072669920248,48.54219830085909,46.286392484969674,50.78491520166876,53.04156289104032,57.247083363900444,57.72737702129901,60.85134571026538,63.21727391133917,63.07041709366396,60.699074934410234,57.32308760718473,54.91480014642846,55.11478507262883,54.349541868166035,55.56867722687449,55.933897970038686,60.10298265610444,58.72716263357692,56.458674754647575,59.48750640867206,56.72830545439923,54.24954807589915,51.90569214744953,51.19692449586344,46.83818765294076,46.97372373444768,42.93656634029197,44.966928704853125,39.820321351144365,41.673282560049195,45.64966194197697,46.51686944639958,48.9097160482388,50.85107776005743,53.069355398128515,55.8849231537869,57.55393223235112,58.54902059531196,62.32971607411413,64.84135657329941,63.00563427955763,66.65850815442103,69.11561781093907,67.67928524269479,63.69199868914626,63.85735669651218,60.23953043568244,62.731481276351154,61.43690231562767,60.79283984106375,59.70930027615848,57.39236946303999,61.32428712554996,63.52034450557996,64.1667675810408,65.21200969681968,60.45115106551574,65.52925985896405,68.47867596886593,66.317733220145,68.8343294294122,68.17714319530901,72.57816576159672,71.47911987390472,72.9819816553112,72.9918318627822,71.06405139834106,70.22893687151627,67.5762224328126,67.08708177251542,66.61312799215436,61.72256877629785,61.68681837749265,58.039684764757745,55.662567974616124,56.30145342072279,53.39563106961437,51.16276613335536,51.82516154722354,51.79341925248145,47.52189774624885,46.68655621656217,48.31929184912827,46.88552095456412,42.392545732063844,42.999421021046814,43.11660893937932,39.497949843619736,38.183265489626734,40.276751197473565,42.82206822066026,44.490514876744584,49.09179801223849,49.576330634347464,50.29470509602334,55.586951709902344,56.43078673329182,59.994140281840046,60.37404828901126,61.29919836352733,63.92815385796938,62.50438751022246,67.23369739418334,65.98703846399113,61.27938313866033,64.5158651254612,68.28874975984256,64.68461890109822,63.389620249775085,67.35524875905213,67.59427542710685,63.36172313240009,64.01511730846917,59.379340154799664,61.2794783567065,62.91986896817731,59.860562606193255,60.826244177254615,60.70728555060528,58.74052776344328,56.928512929850314,55.69870247847962,54.54410556214971,51.80722243425411,50.71335510659186,49.37536369210799,46.54320376361581,45.47224993156281,48.04993639216693,45.573733803787896,41.4289187036483,44.10607642435289,46.93640444484071,48.577708409180026,52.28444336738612,53.613990173756626,57.494829166316336,54.64486278971528,51.57997953312218,56.48490741541774,57.284838712031345,54.24874158818743,55.61704194850156,60.72724697143621,58.696578890549155,55.29168177421318,59.25495903308165,62.61028600192656,59.96563012056066,57.215514828453074,52.89089819506102,55.906456932510324,51.96829499859563,49.947648040439525,46.51930669871929,46.53564173664135,42.42511906083693,43.4294417826546,46.614769182533976,50.034577951197555,51.71412281612634,52.03412143001404,49.27053882661825,52.702529849488855,49.49715943707455,45.23181311741847,46.858711394646335,46.33049735892465,44.154717177648465,42.9328072832667,40.71486357831644,39.15010081061767,39.799699126282654,35.38993011128795,34.73110024986987,35.74128926509603,36.06591180474654,35.7442110525829,36.24430158842526],[30.982626567557457,33.34707964540323,37.43435001402239,35.711292422517595,40.186085973454894,35.18926545003712,37.12273832706356,37.10069502411878,34.233440812741094,37.16904706049175,36.270037936774145,36.70011597787067,41.19748761247853,39.12239758340594,41.50204874945378,44.0267860942899,45.85464613781708,49.273693358058864,52.794886460006644,55.63948669157721,58.85805554086301,63.15260044916501,64.15585670793439,64.53429953972628,62.193659446036555,57.831004586381844,56.07273978193486,51.736348215947814,50.64588403888414,48.77055687145295,48.11130885684477,47.778290950205005,48.35758427505469,52.612534645972744,52.985731946586846,53.35089890002041,53.04734424830655,56.28703212002455,57.528737436741565,63.304337077556134,61.944135405626184,61.494010986439754,65.33911229250579,67.00507558124397,69.19121692392842,70.12501629734375,73.62126275193535,71.70906044848255,69.75587448400574,74.05295369727547,73.58220147481096,73.25263638934672,72.82660339552578,67.94189612904556,69.36193829690812,73.34960570061399,70.49869233196108,67.02402893695,71.14368002005469,73.45303019138643,68.48351990601572,67.71019152277779,64.23428653995646,66.03810777596796,65.93084495994405,62.09673795286207,58.38041192117505,54.48780450945915,52.04707187764764,47.96507621561175,47.796258356866765,48.058632633157245,49.35187174673108,54.2244794085416,53.03313745951715,58.06500610242989,59.32727343591104,60.23287086474468,61.13386771474943,63.99633370613456,62.022431956020284,63.35473347836711,59.450603005431816,62.56151311660578,61.899177347356165,58.362251682614854,59.61263333143231,57.97786667905656,57.63870047105333,57.25517335130384,54.617379835990945,55.15512330652694,51.19482978479707,48.42574848561171,45.09172677911115,42.66652338321172,39.915459342582224,42.86243279999395,40.976845615263684,40.23320130478989,45.80492905164552,45.805171392270665,50.070285098912095,49.21226180465497,54.46373932896202,51.03723069845741,53.009951773341946,54.15117125707067,50.28613164742965,48.4423188693144,44.77936568088623,46.19031528535199,42.16030646252679,44.669812277087786,43.35769479717876,45.34267829455889,47.35796553872884,50.23941981258649,51.167531927479,47.91922692200487,45.47785520976413,42.71941079805453,43.718189708890485,41.90947800606995,39.77238516546819,44.330686537584775,42.07986059728764,46.52589987641212,48.8229232758212,52.882567705586744,53.71587424418739,56.75100413526345,59.10314956299708,58.70310736330642,56.505954601883424,53.019622047134064,50.94961621114228,51.02937208162033,50.31411609476623,51.32917085334426,51.92039697602832,56.05318899133837,54.45630975151923,52.10738842668007,55.002253880895125,52.06241696684342,49.66732363014618,47.167711101812934,46.44981949393169,42.06114195855803,42.18971119445237,38.00655533701239,39.98192409582144,34.78367755317606,36.48387570137024,40.5071853084794,41.435787852890854,43.93358830768099,45.84746277718023,48.26159932740819,51.231632919714926,52.76744563426393,54.0384256334759,57.6736091933862,60.414553065536545,58.853353193816886,62.426805188522295,65.05706166917886,63.68238194645603,59.70040069708158,59.70321280023318,55.993370449586635,58.25242911248943,56.80836240714167,56.004265058283636,54.82088882017499,52.40332713121157,56.27876958826723,58.58307592267799,59.28231794445465,60.49483437089331,55.80739075056275,60.99972517956732,64.0254839657907,61.91712012518791,64.26559592145274,63.55765451402666,68.00627907102663,67.12673696170657,68.6356724371083,68.79865924961567,66.77864390424314,66.12485738857801,63.53074826521601,63.099878333753246,62.80281390382259,57.94273941847145,57.90217323686152,54.41640570436987,51.79812490848335,52.65830259973692,49.53966323697852,47.30801644975721,48.363727654801835,48.331566152990895,43.90340367004589,43.415962262354505,45.20891952340102,43.57098164354515,39.1209591283467,40.09771638679911,40.30924858340514,36.399531132549946,35.394951791530154,37.921724633643,40.41057665131316,42.22587111601579,46.92401606496464,47.03727255889035,47.85068417592276,53.14058315534211,54.277538544517284,57.59165759340182,57.60763226747545,58.29105594095557,60.71757545257251,58.99866170420253,63.802528386230534,62.83751896742781,57.972357562656335,60.99534932439821,64.99666125820734,61.52576680706015,59.998299995621636,63.850798885926096,64.44857115167251,60.27107985825547,60.53244420056544,55.94333260544937,57.4451319093865,59.13829860017496,56.14465392727894,56.877941876462714,56.82016605904463,54.590881420532796,52.94121162294341,51.926871580541466,50.52593896292861,47.71028294262587,46.95324984447867,45.63046780926641,42.687682208798684,41.83247015023646,44.673370571078934,42.16764106990317,37.99842756286764,41.04930689931323,44.01458849549162,45.6517309457546,49.186043215771136,50.23142021146277,54.27598912624898,51.763833410825576,48.50728399591841,53.27880436202963,54.4290278806687,51.47596839631523,52.56187586736701,57.843681598146134,56.171661345690325,52.602659524198664,56.33055911438096,59.97091349400988,57.60962043882979,54.763737415511606,50.41370188817931,53.82039333311436,49.94891762190351,47.98831020289357,44.26507947697569,43.87954239757393,39.55410526085754,40.89766339929657,43.894930050952794,47.471517045875494,48.83146948172406,48.9452869700922,45.801506794677124,49.00305992971413,45.60362273282878,41.42310458401042,42.76263613976874,42.272892132053066,39.765992410593896,38.802686471576145,36.825626725415894,34.93138102888958,35.40562194519211,31.350366187684937,30.540104068928812,31.235095225602603,31.343058600971514,30.878286723221002,31.283080322707217],[34.00686872591486,36.14777710318506,39.85941031173244,37.727971213870646,41.89085126533015,36.49142413706676,37.89069093461934,37.480466353015885,34.25033910890808,36.81403471807573,35.41638102198183,35.726934389508735,40.41380906600151,38.237979857070904,40.07116256446459,42.71172024798165,44.845256101134105,47.920812863923175,51.48803296538743,54.35741437656825,57.44791093417411,61.789592785925905,62.76019493287562,63.382339843059746,61.18003744527257,56.82635063617878,55.21258618456801,50.95382702979745,49.59624995164913,47.68642432800265,46.33353022562096,46.31170126866097,46.45691826953292,50.529226988705894,51.30333141941063,51.854344301157575,51.869661233689456,55.28428516131502,56.81669231321236,62.66286820766921,61.32916360211724,60.48112827663051,64.2510476926014,66.14936528911679,68.32122857492999,69.51079481953411,72.89731601037145,70.8765488365842,69.26000338568116,73.61817473435345,72.89362933680903,72.64690093906017,71.97756086834525,67.17450214959385,68.2755535620105,72.15280420457175,69.33765919220474,65.65530696052424,69.603917265728,72.04595530384077,66.97604540493157,65.83811000834027,62.24642090789753,63.95352161478532,64.193084098273,60.454658903429795,56.61060226987454,52.71669125911528,50.3241995383809,46.13298798951884,46.03695901365662,45.98263929681037,47.14573333763288,52.05809339477893,50.90349529977971,55.62615317326994,57.28747900067896,57.97366644614249,59.203757657669655,62.31653972197099,60.58088849467136,62.27751505400558,58.48609589621695,61.87837074238706,61.349646145936795,57.53793908530279,58.460135939500404,56.605098332227634,56.03951836296475,55.24319014421904,52.50895623833157,52.649270469474196,48.75551276655292,46.086727855400405,43.09458833038,40.35792076350649,37.99779161495401,41.081411378186665,39.56720927976476,38.983567171395556,44.57631216179462,45.17938878721474,49.31735792848769,49.04431920545214,54.56624694269723,51.461792317793304,53.668384629853605,55.14459688683872,51.51341402480259,49.30295876489246,45.77720642544649,46.755782724880284,42.56232591447823,44.9584438353829,43.14592931504315,45.2585665313481,46.87087125796838,49.770732876433925,50.232516309533,46.86779835647375,44.60557882094562,42.065992378364726,43.56226703987819,41.988427712533976,40.12476146023496,44.97474267137715,43.09045086525388,47.40739247723641,49.86592299853785,53.73950956830755,55.083069405687965,58.06325398764905,60.27460651706044,59.53767156714779,57.47099247973921,53.74986814689678,52.19091462911921,51.888244780518114,51.02533692348729,51.668847812744055,52.21159517643641,56.11043551300113,54.17887618640023,51.93680277618412,54.625363091791144,51.55378985524978,49.396925580438925,46.831489183093915,46.3533863711326,42.00460003273267,42.3669621937362,37.91529403882664,39.83591027019322,34.52899131981727,35.667950872256995,39.807894450559914,40.76765763684668,43.64816320305019,45.24933756958511,48.237319481846214,51.288371519203,52.34195913746962,54.00238569891491,57.39646969928708,60.424110015092246,59.254234642318856,62.869162176159904,65.63439066556555,64.52319548556393,60.52060517913794,60.422157781401985,56.51113038268764,58.44247073691576,56.854929244211014,55.77759700991935,54.54062462450427,51.76301059064272,55.64871413882536,58.08228944217974,59.01917354047174,60.437618618828814,56.06450155006927,61.44724937809176,64.54604084297661,62.43169108896867,64.34670657192538,63.353294143394514,67.88545691539899,67.21234336565912,68.9610435421108,69.39903315115725,67.39361062418506,67.06933883426197,64.64139538436356,64.387337185188,64.38430569361377,59.57042575256015,59.63316982195752,56.39454512124859,53.530747393578004,54.72103507087178,51.374108466594535,49.123052336213824,50.65258316302522,50.66487586611747,46.09195460669115,45.93253905009555,47.93580378091482,46.115065927171976,41.752354296809635,43.07827666038768,43.39112305011048,39.253371401290025,38.52817540256433,41.40524782548432,43.79912511667744,45.73802572465373,50.436733329831874,50.27735750602141,51.17327385756821,56.42302361056921,57.756861274851644,60.86491026347076,60.55209790742345,61.020807298710736,63.21859736396353,61.19435407933291,66.05980624252444,65.40890926087913,60.40825981176163,63.17061560797833,67.40082552593049,64.07647634016269,62.2944543403733,65.9866445732197,66.94804624446573,62.83274390828248,62.6238652855396,58.17473447272383,59.21111566634285,60.99475028316147,58.11807158190069,58.53333049364463,58.51456360163822,55.95276641817005,54.57736422621545,53.82209873539917,52.06371781912592,49.218767740343615,48.93325458908269,47.575039388013444,44.51843049999175,44.00405604992647,47.062901174980595,44.47868763261659,40.40183266130974,43.83090085155154,46.84172893737789,48.52374704001505,51.845904506800224,52.613055660784,56.800669194992835,54.643302088639736,51.256880803342916,55.85493547363275,57.343194205504915,54.48759762315835,55.2803782696164,60.70471867435141,59.35676919359029,55.63477587050729,59.10986027370384,63.0139864586012,60.88336792246842,57.935743149571366,53.55678829635773,57.231377981603174,53.37067307512514,51.574861617813355,47.600695250474594,46.95841997906841,42.46532979140665,43.964214947157764,46.772147623050394,50.43287780815605,51.50594942605406,51.5358000550196,47.96266105009307,50.88614675537042,47.18936634236113,43.32242720519285,44.29141054883331,43.904775241892324,40.89397090081244,40.29767249822517,38.75155722885629,36.41730776418679,36.512197706506356,33.08104646980483,32.12618987466273,32.27902349059662,31.939063704453144,31.1317321969298,31.188986346542247],[34.09378623531052,35.946835031811986,39.2562529465972,36.68252681561979,40.63007234778221,35.02991777488287,35.99169104017484,35.473970301058785,31.92091322025251,34.10947160243428,32.456368653158805,32.87566721213523,37.495889217871294,35.142206205871354,36.73514229668903,39.4842805359704,41.66458317644237,44.52584570157757,48.02776813942433,50.96147100088786,53.93975701875805,58.32049584268362,59.22692428344309,59.93794698798822,57.84285908732708,53.49125379269533,52.01119238981122,47.81368311544427,46.39242214821992,44.581209717344294,42.865675575842026,43.15200674883905,43.167051270350385,47.08751127737397,47.99973506687024,48.519991833814366,48.7874848768444,52.141199702458195,53.8002996727198,59.721128268436225,58.29182107998327,57.223978966407415,60.98537761936306,62.9562335344153,65.06770890225734,66.37458705543061,69.70399362154659,67.67909501292162,66.24988459049857,70.66026284135663,69.84898433741904,69.7029037627528,68.92632314149203,64.1535485356016,65.18143490013723,68.92978339223355,66.06238553879967,62.34461649078326,66.23308645091306,68.64125784171917,63.49915495541209,62.22124061516917,58.622911875248946,60.20231622783068,60.56888984521856,56.91772155140877,52.952134210382106,49.10460512743793,46.6654735553446,42.46241665911349,42.348911161024255,42.14302521090245,43.30331372000397,48.21900182420174,47.16373933825581,51.806378109106625,53.6401107808403,54.33093842455886,55.70103019222681,58.9055966410137,57.37052401295179,59.22147390132387,55.60526800104324,59.12865721212254,58.56470357480659,54.60581308654541,55.28344972536528,53.443567178280254,52.64320365330529,51.778478568436455,48.913641273813646,48.889524737264075,45.03787147177092,42.490987799499436,39.602006645532605,36.74206303347821,34.50924528205651,37.839057454229355,36.57481425627083,36.36002125887519,41.757375705176,42.823984751528734,46.71168928139008,46.83550862377777,52.42856282035008,49.49346053780553,51.970494830401634,53.58890944466668,50.105794842004414,47.69961327702753,44.17844622770233,44.74478316253378,40.41635825069859,42.60639741128574,40.43224933782988,42.538552180273406,43.8850497280975,46.71370810281455,46.91871681143932,43.55262809362206,41.36329848828058,38.9836564359718,40.738934524667584,39.36898662765938,37.76283677451658,42.80002857787781,41.31932131827433,45.51740867005689,48.14095090559349,51.94780149112075,53.580890783242914,56.609028546910196,58.606923910910105,57.721187474690694,55.60801158961327,51.713449339253295,50.47044744380849,49.830478461922525,48.801069411657245,49.20433266208425,49.627489360452905,53.348987522753546,51.24347413507979,49.111077767562584,51.69345067382167,48.62607373488388,46.6117104012501,44.1110136389483,43.87346267654541,39.613889637039954,40.29385078696071,35.780593809788286,37.91507670211807,32.75108457806131,33.38479330252766,37.45697119223698,38.220696791999025,41.35517589091078,42.60997387884039,45.92914311898019,48.854227815650376,49.573259573019115,51.35555003877747,54.63628114831359,57.75081706607755,56.78232781968617,60.463183340821075,63.25960333380725,62.36573026174514,58.349122185531826,58.24221309011067,54.1996996784545,55.97091807265587,54.37603491676399,53.19673357117162,52.0519482906656,49.04392503824276,53.06173605962371,55.42078029096543,56.545668657795936,57.94452052533785,53.85114502499357,59.31607666459263,62.405577084454606,60.22552079633694,61.83380717152855,60.61789696569797,65.18107374235107,64.55171453711199,66.50532492690516,67.10883898311857,65.18735801380085,65.08758407158135,62.81268638261767,62.73698063638707,62.974923415528714,58.19633452194022,58.44184684308545,55.42139867494937,52.46153231710879,54.01278913298229,50.5919458476595,48.20356815512538,50.07143874628241,50.2940731411261,45.605728737014054,45.49532955436217,47.8168594446235,46.09277665491471,41.62265294033866,43.1954865854644,43.77661438267025,39.496959244959584,38.79288438244258,42.03896400856878,44.21655589317697,46.4937118401125,50.90350076975536,50.5938776175575,51.72099494253496,56.94328552671081,58.59231208605894,61.46120584039644,60.95402255394683,61.14958180708682,63.19622145459147,60.885005496423844,65.7433156837658,65.30201310901624,60.091379472647866,62.64573951479893,66.99250114757777,63.714822071012954,61.695503736175915,65.22825942017461,66.4103218575438,62.32252684330047,61.68801611214043,57.44948018261189,58.209160241821884,60.163124526743466,57.519134489307056,57.78981475789855,57.996286022482,55.12603614536309,53.795925617915536,53.44091453618448,51.534131503986,48.48499675579572,48.53701949431825,47.39415189416267,44.27892584789408,43.84186910607189,47.22823919363148,44.7645873349196,40.63611689984259,44.27239993412059,47.44313945155453,48.97276803222543,52.14461244466635,52.57708241217742,56.867328921975826,55.00570800005246,51.33681399407747,55.76314019434153,57.514875581588036,54.68175662758421,55.105021513364306,60.691001389931024,59.575351742277654,55.61487685013915,58.8401824780284,63.00344691391913,61.02421888564776,57.92655296831407,53.49328341044464,57.37234477306221,53.479344714314145,51.963624954191445,47.70443204236733,46.92840693056925,42.29995453075106,43.788264090875735,46.415319585236894,50.10675816548751,50.9430367417134,51.02385121446626,47.092175374275826,49.826342419563325,45.87145206309602,42.43368448692932,43.23161942417683,43.09756429130515,39.724366088678195,39.20011445975916,38.159197099848136,35.6431032013048,35.17837925119699,32.24755464335993,31.496021031373406,31.285630370284515,30.563464245878453,29.540888957847365,29.50064075041473],[34.770450815407976,36.868063354160036,40.377693176744074,38.42724127489055,42.118347315066266,36.43956281603848,37.61893930846661,36.62383700224683,33.548285341952194,36.2063150407506,34.49744875040565,34.270324828754795,39.33802126036735,37.58421667975445,38.91680990355864,41.384278332270426,43.970883965253044,46.95497913019902,50.8562026927275,53.43643538055586,56.6414765341188,60.85771710295372,62.045131949911976,62.93561458400281,60.60392644035112,56.35663860348996,54.56194124305034,50.350925582247584,48.597776685720696,46.34855445624458,44.77849356911707,44.46778295319235,44.26123122098593,48.37187435455624,49.38642881259044,50.31961257354738,50.225277024456496,54.082867690494126,55.81811765984542,61.50372708860984,60.563114159061385,59.56439914628767,63.1424137993723,65.29429669602766,67.65550699987519,69.0469085708683,72.32538569198958,70.0423538197721,68.58928593759246,72.8680813836824,71.83869774349091,71.46160887659694,70.60947933457045,65.94094563991156,66.62513420054236,70.61809735675746,68.05254948869481,64.11346748656459,67.9023080667069,70.66447655407462,65.68671667635928,64.34472015651404,60.60367210874712,62.5822593422341,63.013168875795905,59.17838336184763,55.60774345690989,51.56631624737117,49.56895724778923,45.23507715887798,45.46653884129898,45.45474768105876,46.1676022816922,51.075470600394794,49.54606774270344,53.977514677916425,55.68097777199851,56.00359012786315,57.32608551204912,60.55691868928432,58.706959471766744,60.60825025809262,56.64258175321813,60.174406869431074,59.96885820712966,56.065790955402285,57.01578383814851,54.76504425909181,54.4425161992382,53.1861153027867,50.68730948931001,50.726160551328846,46.84252513096834,44.01626049108304,41.30009533573405,38.47443146779129,36.44147063585956,39.04606828674751,37.58567774255792,36.568426493672376,42.415111017806325,43.06037733718755,47.37676572037335,47.298739489606795,53.046257004952075,50.23626390054575,52.32138886893865,54.11978132732578,50.716724029748775,48.22208571229076,45.03514984514094,46.006275448744525,41.90994660005451,44.543247536658846,42.684612247062844,45.124926655303504,46.585721308868884,49.864188543261406,50.07914440244515,46.400939052332326,44.438405424388726,41.890811346577486,43.78459389022399,42.090997169296486,40.117332544382016,44.94966482380457,42.872515648397815,47.057587658057905,49.408364227694996,52.94954226479735,54.724848102087726,57.423671248341655,59.772329889161576,58.6581341353263,57.02446902055892,53.28224998721605,52.159705279108735,51.87157473088528,51.2007240936535,51.59518605866475,52.53779714366683,56.37237524317827,54.150171092479184,51.78240791901254,54.22261462834098,50.84291659250896,48.844968571427806,45.976272016716855,45.371437668607236,41.003371005293104,41.10419130785586,36.43012349712584,37.84560285345923,32.333007470552126,33.38712505268064,37.69094114469326,39.0266903158564,41.97623049375192,43.711170151334734,46.95133575483843,50.399471757390096,51.3066757169412,53.471251709743576,56.57436102147758,59.97949547225841,59.2205242523064,62.625060586381984,65.63919427943814,64.52790907827594,60.592405057406566,60.22100873712504,56.27463946328479,57.826966195660745,55.95792539005166,54.59390779932487,53.06301068828378,50.20114026229945,53.77029197847402,56.54174119836165,57.475693552303355,59.303452526228035,54.96214936690302,60.455099952941985,63.68434961731862,61.755413648334894,63.50237226520786,62.528986185886296,67.09550806883787,66.83002940915881,68.47474110748706,69.0901157713079,66.88402521574669,66.74457229614292,64.33949736526428,64.0507823033843,64.15907536889516,59.44892432389034,59.324223871324904,56.22982120223741,53.065563115786446,54.24755378477345,50.63230450648172,48.62521606223544,50.49413724570755,50.23275162714075,45.64746439036236,46.11150565958808,47.948121776956015,45.64607143203003,41.71567400141141,43.34666848634881,43.44198231046676,39.15241220429945,39.011646884047174,41.99239444019933,44.4824874036599,46.12299048152859,51.22361789305444,50.65647320778266,51.359798724835414,56.49537820701907,57.82437638295098,60.78046485565164,60.080487066999126,60.48992042536939,62.448504424337614,60.279885111579354,65.21691496740206,64.8597366446187,59.9574742931732,62.50801903109625,66.96173153584381,63.89964436150063,62.012705920306956,65.61513591877647,66.96017390681921,62.982860619674724,62.55394385430053,58.04599406660564,58.599712933306726,60.24000391753089,57.24965310612692,57.315068663069944,57.068851932645934,54.40361810338886,53.42877611894429,52.58271220036998,50.47099164237333,47.877472614105194,47.9239324024349,46.2702317654493,43.15931580061048,43.106440072401924,46.08208626846454,43.29679745256822,39.49594903726895,43.247588359192484,46.11656373403761,48.00986830491472,51.09160617209015,51.76959495170646,56.025660183821905,54.164759632768885,50.94841929008826,55.39434962921743,57.14880648465679,54.49707762292193,55.25168851117265,60.64513069668277,59.653564603234216,56.04634085855647,59.34481019473552,63.33816241824424,61.52888959812676,58.667322753407376,54.40835756826623,58.35546885954833,54.7051303461309,52.738138398596455,48.76224375655138,47.67910554923917,43.14915250959884,45.121356479697,47.740781747177884,51.503951985203344,52.29817424991509,51.944696276921356,48.18299856469534,50.79668173083747,47.082251993433445,43.08050253581766,43.59212691871856,42.983554920765975,39.74408656428733,39.72204919195813,38.174663685471074,35.409626981276595,35.7565601156256,32.797276725170356,31.26686423940239,31.036314573176817,30.562055245318412,29.570630176440673,29.288547269972184],[30.734609197374983,32.962713943886676,36.71824218434425,35.00103292545774,38.933913486739165,33.49220015372451,35.082388201343434,34.416045972906296,31.58164308207419,34.575980392100035,33.30329766717603,33.228107149552756,38.13741167198262,36.436827421985946,38.309737312609336,40.69857043315553,42.9917761832219,46.31350054150392,50.1841720325596,52.75789350701983,56.09249538647388,60.28319971723158,61.49991461721317,62.16484857316871,59.699592371627745,55.42810764286763,53.4968606345924,49.19560763900572,47.68707334061567,45.481731630861816,44.56687502819791,43.99548777174153,44.246732754439,48.54230259626299,49.14589358117346,49.86643512527059,49.49409368230703,53.168877680563156,54.642176366718964,60.299325734307224,59.30907618933196,58.664306415029664,62.33046308440912,64.27084229247365,66.64719032339852,67.8134833862035,71.20127765835385,69.0118146245454,67.25462161810404,71.49561229772993,70.69840131798324,70.25825344735713,69.63092939146385,64.86308865520517,65.87240923825364,69.95687041990593,67.33131127369855,63.591293307747115,67.56092903372019,70.18149811227444,65.27820982960306,64.28924302200959,60.66032248715263,62.72143629686531,62.80849096217725,58.8747272631429,55.40296182609567,51.351853609430314,49.289396284967985,45.04230390398252,45.20195088043149,45.51011733629261,46.358484136482446,51.24836039426492,49.686535379927875,54.46209045172172,55.77103752727378,56.344924777053684,57.34080259077961,60.33165226715873,58.271267464281856,59.829682120671904,55.77687173332928,59.06159219889033,58.70264429444328,55.028451089587506,56.26744039620176,54.250755071041354,54.10712101869398,53.28948003957245,50.848053597681215,51.29553225942896,47.33034044198648,44.40989020677727,41.3080964370206,38.78791717109762,36.314712760953014,38.8638721537897,37.0389980990087,35.95704801501478,41.76842216269437,41.89950470666272,46.30985983044951,45.72373685151446,51.25107174649998,48.13989948653325,50.08405110528457,51.60478200347957,47.99366827435044,45.778069062105004,42.42846999723419,43.72298509102242,39.714327688867876,42.44283750256077,40.98364205833448,43.32805311202258,45.14388525624472,48.43502040707974,49.06188946270055,45.465718602858395,43.33024220181218,40.565759186750746,42.04670960963967,40.13877911691653,37.923279408411524,42.56117711480021,40.198550151569115,44.51383548131393,46.768256468722875,50.49368710849902,51.874804661150925,54.65191629288078,57.09067798282701,56.253247919195836,54.47514243535109,50.892293652448046,49.36682266401342,49.35843127914475,48.794829996749776,49.48471589926058,50.47841811614597,54.52559716672487,52.56989717573191,50.096665913252295,52.72688303003116,49.45288983762856,47.23525630788793,44.421196439302236,43.62340187298601,39.19414721687341,39.142363655278004,34.670361013704785,36.24100980637765,30.812200655123586,32.34904958350245,36.552741497356905,37.80144725498166,40.44741192924585,42.42967391387085,45.188705155726375,48.54883941143601,49.868061913523114,51.68863445238028,55.020338757133885,58.18382718029703,57.09688247574459,60.483881974222,63.396400728545174,62.077604870419925,58.14365728512226,57.85458859011244,54.049573352534715,55.88428977940488,54.14188245327695,53.019710379661355,51.56126893341448,48.99403212328781,52.619776337141424,55.24266263107885,55.98803087419175,57.60620591435572,52.9973219231853,58.355272696831044,61.52704790185954,59.57844940296163,61.68280449560257,60.936281180176515,65.45088040979087,64.99489293596336,66.45489165571095,66.84921830082742,64.63754860185587,64.2370094125312,61.701248118049776,61.28876093572415,61.18729929080895,56.4214465657647,56.24527387281722,52.96761016827887,49.979938231534774,50.97011583489498,47.51955754000675,45.47340624180615,47.025730566853774,46.78374854542679,42.25619254200314,42.456655868113415,44.213260666012694,42.08188143141299,38.00468682132806,39.43316851813733,39.52477974613245,35.33698699554786,34.98011450791607,37.824097448371944,40.34592297661559,41.998948735685275,47.046876695354285,46.64260565558683,47.35393718881592,52.54338143281229,53.82373674724668,56.88551298509297,56.406760229293724,56.915369758161866,59.04436254350083,57.05091631830301,61.95316431307487,61.369362531659746,56.49448514939493,59.2326007387025,63.53254956830815,60.3369226815908,58.598275148262026,62.314122415173664,63.40267232195712,59.36560056889936,59.23325725213899,54.63438919102006,55.536665422097975,57.1539459405882,54.1122390248713,54.43952777661989,54.23983242026949,51.77564083069711,50.53196575999008,49.56976735435174,47.746431999689534,45.078691933705244,44.78123128295906,43.22920778026708,40.17391223110459,39.81361906399097,42.738166967199724,40.048214628352014,36.08643798579138,39.61124006498088,42.53165393033575,44.33914117688727,47.586387757286204,48.405410243680784,52.59463614070327,50.50000776034597,47.277307100918875,51.85204833244572,53.40119744761644,50.65646204626228,51.55401073936746,56.90104666723974,55.70107081921496,52.13693072427395,55.59112418595721,59.45412980044741,57.494182546914345,54.66604912451886,50.402324388813234,54.21846204305022,50.54961367209795,48.50650951568957,44.632862052077364,43.69065752129167,39.22885797871046,41.11644025401798,43.8495715376225,47.57889749724268,48.54208828968622,48.25277685229998,44.742675867767936,47.56466689520227,44.026725963399414,39.813874061404825,40.61843944788678,39.98328223226932,37.078547586217184,36.72597203787221,34.90359224058074,32.45425260219869,33.00261986760776,29.535846418876282,28.16449504906726,28.34532784289851,28.193628053339594,27.481552384835076,27.532063839907114],[28.586012295743746,30.510509778837033,33.93208636743594,31.696210975960902,35.62762240516261,30.089990175988923,31.41161503791905,30.931553073370527,27.762917982612223,30.490308165891875,29.222206130499607,29.483347100611397,34.16417284514257,32.185892369743456,34.203203455549364,36.71804159138396,38.81286738483888,42.10569516880698,45.82598923228982,48.53253000796651,51.79225139545222,56.044246769446815,57.16131752391434,57.75113210773184,55.35823883735226,51.04656418790773,49.2278452523819,44.927528781117374,43.56006859100943,41.56170082241,40.635292556754514,40.33773670521632,40.768388250608474,44.98902566759121,45.475697296739185,45.96100833265846,45.755315969246524,49.16934216928684,50.607491522252495,56.38662157994313,55.16553399905485,54.48754126009531,58.2389240620835,60.09748382961684,62.37399407335642,63.515308128648186,66.92284952203595,64.83249575767812,63.094982138569094,67.4014339472687,66.69105084522872,66.36690209603356,65.77102086880944,60.94814804270958,62.13775581545062,66.1013894388924,63.323627568649776,59.70023457478148,63.73665792606599,66.17433834549753,61.20067012351297,60.28518597057044,56.73834483455484,58.64481920459314,58.647571900857,54.77607123086213,51.16187390079192,47.18288470183851,44.95175766936138,40.762250338604396,40.80245824929954,41.12688413429275,42.12838922917602,47.01188820716917,45.613855821950764,50.55041457685117,51.82915183663646,52.62371080738558,53.582755963514124,56.52748677691979,54.61133754381987,56.123579162008056,52.26645501084292,55.5517089047306,54.99246614465885,51.276890605405804,52.37818602339738,50.59098302622789,50.21531409452398,49.65762178858781,47.04386434960516,47.553473464539444,43.58649737326846,40.78097068686101,37.51636881003358,35.045824792933956,32.38958909266823,35.29925013850701,33.546236654588874,32.97475929016919,38.488305837124116,38.899625554121435,43.02238544037864,42.60467477691686,48.06590294480954,44.92363043603287,47.171812170755,48.647364814737806,45.04730336554042,42.79512518852404,39.26512026919339,40.21708129437276,36.043399488191355,38.52670470810587,36.853351615978404,39.07718270874419,40.81777403964726,43.96708330681573,44.581167100824345,41.08130154804726,38.86637732581559,36.15366992009946,37.62793437161373,35.85411676134008,33.82335544789002,38.61492996368006,36.63321970488412,40.92481493154177,43.37191988255861,47.206925525012764,48.64081966953416,51.5991299393385,53.78915299231304,53.00238977431838,50.97817777490711,47.25671231586478,45.79996083833905,45.517467339826794,44.76201538474635,45.381019591585456,46.17444603333526,50.153522009875324,48.19511127486652,45.81302110150706,48.48266020659949,45.3287990191472,43.11732352161822,40.466984573220785,39.8818321934459,35.51134420893499,35.83808128843484,31.429777310389326,33.4979966934852,28.32974863730154,29.507484933628813,33.549721163537185,34.41911258923639,37.21020426129312,38.8746237124949,41.73027785984056,44.80566108858448,45.98118015773691,47.65267244919828,51.04716928390628,54.10824268704712,52.990728404317565,56.50522806268045,59.35163501937132,58.1835144547466,54.20744842249083,54.01473909373679,50.12105111269443,52.00553270130402,50.38298994397384,49.33049764335498,48.08918297605868,45.411768459679884,49.313329141221075,51.6933470704572,52.569310446843694,53.95876899702072,49.53078038237742,54.90602654989186,58.01239995726842,55.92437232357345,57.88836124250368,56.98794465141501,61.510872693573575,60.912538995764464,62.54929417918601,62.98919876641872,60.9178131046757,60.61126322791941,58.184863525713084,57.93621606963919,57.99779884939349,53.2096247084039,53.28436685035817,50.14519020816852,47.19767929567503,48.55668882430789,45.16082704330906,42.845703163002355,44.58613653479548,44.703462118327344,40.05001182676437,40.005894472338404,42.19115472180163,40.410237903397466,35.98618431239397,37.55594888487896,38.07002644969129,33.787799779689905,33.17384699080271,36.41913022694765,38.637555484595076,40.833095679606615,45.3555584100403,44.95133497003049,46.026434145702375,51.23780752718364,52.90380114528294,55.74634592834275,55.23411884417309,55.45334446032,57.53662989299132,55.29961026170205,60.15719337722901,59.650451700689864,54.49179496280161,57.11606167337427,61.43057892561234,58.15576581705848,56.21598029545387,59.81625263630534,60.954667489828324,56.880411752663605,56.41611950866657,52.045819994724205,52.901542240260056,54.763592344908616,52.021098541239,52.38925988245313,52.56290759156524,49.83002985852303,48.399571470845174,47.921361729106486,46.14638512738271,43.102589297638865,42.981411322997644,41.84829846023658,38.75959718390619,38.21493435919786,41.57365877370546,39.15554121025649,34.97201635217988,38.56000242745913,41.75566631553057,43.25320330932735,46.44817712514341,46.92221435849139,51.19200376884808,49.28573428308979,45.642196580937394,50.10049831545108,51.81634755279893,48.99731463649806,49.497310899525665,55.04262925309366,53.93922251454665,50.054836904664576,53.3176831959936,57.4266925225644,55.497668953043565,52.46658505495422,48.091518453944936,52.035223282622766,48.254221035361994,46.57889853392571,42.38205549876468,41.45709235020947,36.85306507257633,38.55742860396232,41.17193682315558,44.90551780889165,45.72725991141548,45.637886754979455,41.83384836286962,44.611609858925966,40.82692930302597,37.07890940817585,37.93984473307224,37.6815909129579,34.524020636734754,33.933225941335394,32.63482170276671,30.220006682625574,30.05523995943177,26.832824189717527,25.992122028314654,26.007198845081515,25.549334993677718,24.74427274660346,24.95462041251821],[28.16509013714727,29.91816007931571,32.911017617831654,30.960155267668622,34.101599856984905,28.21495828492743,29.210590428333116,27.875938752430677,25.022573025373305,27.977967915454563,26.36960179651983,25.814101552401898,31.02419079954589,29.76357607472691,31.189255149787545,33.38159995882383,36.053514199815396,39.33020063266749,43.539636417819864,45.78405917455671,49.26276934530856,53.30046570946767,54.753036742329755,55.65148335519012,53.017285651373825,48.876747181185785,46.733577506287496,42.49182521474494,40.61377908008469,38.12124871236082,37.154364392196285,36.30405629519881,36.4282332112455,40.793740701231435,41.43616634002283,42.389460404178145,41.90990286440009,45.90170150410643,47.54370472448513,53.07051103491823,52.410051720099574,51.63776200467443,55.13005770631659,57.27995809413545,59.836297400263774,61.19355933107686,64.47218227070093,62.0329701899485,60.43618249554207,64.60290776433865,63.531132266733344,63.00427939966704,62.225481137975684,57.56119298566883,58.27556589612328,62.429973276434325,59.98758357205601,56.0768109317199,59.95591372740273,62.791332696513315,57.98763065544192,56.93022242381768,53.223676371276454,55.56317085161691,55.68972728561378,51.63912372686435,48.49262164218194,44.29804379154733,42.660844462298996,38.31612064436926,38.84302386082698,39.40024109941247,39.74859084700571,44.58301078451591,42.59506531939065,47.25648341194298,48.39208836292967,48.77783364232275,49.71092204296204,52.71598501298872,50.55172399029116,52.2248923536661,48.09598819227691,51.498898848599666,51.34262582646481,47.56922655979546,48.81302582609189,46.54910042272842,46.59739769033072,45.57229370638987,43.331757430803705,43.90702114357607,39.92052393202112,36.83257871891883,33.78621842769877,31.353041185360997,28.977210719432403,31.108998617340337,29.269207905934998,28.049945639146685,33.92696063554871,34.250106532958846,38.646586999001244,38.37825465909366,44.10908567162109,41.32337349584013,43.403150143146426,45.29016971447676,42.000248112286116,39.3723496646814,36.30728228967299,37.27040640337174,33.27316649598052,36.124111096753246,34.498627556875064,37.19384597405615,38.79898507913232,42.52816802483341,42.907647960318336,38.971799793425646,37.1838892396775,34.39962029176907,36.35118421862113,34.336101156009576,32.08510812003178,36.75387446082338,34.449212612145175,38.52738320610431,40.79602001913059,44.16578014190258,46.174289656601715,48.74201485353059,51.11088636685881,49.83237200242595,48.39524374691619,44.67720563276309,43.81525012705333,43.593215971341984,43.155217309756985,43.453069291157114,44.8773892346579,48.79099626885344,46.47909346182923,43.88191246150129,46.21632991098731,42.640309609914446,40.611627186011916,37.524769864526235,36.69656882241276,32.295534138055544,32.20841377384919,27.511627821099317,28.920257766560475,23.466330243309223,24.6156232628898,28.88042076886574,30.257956731582734,33.08127694222582,34.99706775452445,38.097461443774705,41.72095820119833,42.78776925592823,45.107470783799954,48.12309824737875,51.66541177010753,51.082528036205275,54.26436630847687,57.44449428640436,56.238342291071795,52.379322117663676,51.799904766801546,47.89805015534429,49.27998231835603,47.28246417695777,45.87938679720047,44.24363855529365,41.52486752475612,45.01086026770267,47.811896960638485,48.638616574775256,50.5444589915327,46.11220717170688,51.61299354804085,54.88617467881553,53.05570944019838,54.849723857061214,54.03723894788912,58.5889009982229,58.531350963528375,59.96886570870889,60.61629113687061,58.263684316751814,58.1767641976668,55.773710071331784,55.46922490148419,55.67907381099749,51.050528772917275,50.87472230440054,47.958589025003846,44.60705078065973,45.99421869577898,42.247216697606774,40.24681433528793,42.48695971679471,42.27550510708556,37.60871228003766,38.43780030859536,40.43433184246277,38.04825601884278,34.22100651066325,36.26029798890192,36.54785039810365,32.06736292998094,32.28949798248896,35.737935319143595,37.99314524648444,39.85242545278967,44.78246812588579,43.7807775253397,44.65891834404445,49.6737815038665,51.43598389388926,53.98601424309174,52.92526477907729,52.98440950492954,54.724505106333,52.24052025258246,57.1757425977887,57.08080151723588,52.01138651055285,54.317258915970214,58.9261645735276,56.007174801559565,53.89527738261792,57.34319306878933,59.013284768844514,55.14497885985271,54.3346956648654,49.92656080238127,50.10705957193771,51.8009673061157,48.959896556769,48.87026009676158,48.824655839770486,45.902894925992605,44.962396081083774,44.4636923969662,42.23643604879486,39.4434064866993,39.81156741115799,38.3819110229587,35.21613179723192,35.270320681935345,38.61898993401629,36.01706996882679,32.17754668824389,36.22345186858907,39.28292594916049,40.970098590512826,43.795128651560454,44.04744484900019,48.41686258533936,46.98078968479665,43.48474698735972,47.677650108562425,49.79810984248607,47.266181495537985,47.62043857892847,53.13391663419875,52.56457542807631,48.80447408195792,51.75467840138276,56.015962392132096,54.564801748035116,51.64290610909283,47.4632467297903,51.798516179779895,48.34962919907911,46.50367297720508,42.29357576410106,40.718924749020026,36.09881290206934,38.47288590834472,40.74427314465987,44.58565476058564,44.96183496103976,44.33035069715462,40.25184098024821,42.55299365454913,38.75771223823472,34.875698833787304,35.0744579305439,34.55486943836557,31.05585860949312,31.260720596297457,30.045207734019254,27.016375848974352,27.130967626679432,24.693040771957644,23.049037448179803,22.4510242738196,21.756279750112984,20.70075533436056,20.48671054650905],[27.75166629353894,29.08135688757628,31.565316935224857,28.951366906446022,31.97765444918825,25.96824986501914,26.454040955525432,25.25515776843247,21.85940599161057,24.316283394935063,22.527161334998997,22.377193033459577,27.36231994915623,25.704022423012837,27.13485587847067,29.54158899049701,32.06600973533285,35.20965424352327,39.25562801906962,41.68315246701331,45.03812834777631,49.17687777257388,50.494710704858605,51.3653458725406,48.859115820721655,44.66148521956244,42.69936572231065,38.47377800249124,36.693675492477816,34.45108356426767,33.247137913444604,32.85010296535225,33.07134963862717,37.29595495223027,37.91419567182712,38.62411845468531,38.453829642238155,42.16998063364339,43.85102645389994,49.55563414060623,48.60947646729082,47.68796191481622,51.274868480734085,53.38494943608141,55.81274374582515,57.201321076972725,60.47967025685604,58.14037082257392,56.64922517830845,60.914877359244144,59.89233344875841,59.52939379919368,58.729302573014046,54.015039946533946,54.87348911836498,58.85101161496092,56.22416161839662,52.39894399370607,56.319740663519404,58.96543572812893,54.03893105707084,52.96772315738126,49.32238349611637,51.441715393619766,51.5642704997542,47.611021489449925,44.235837791205434,40.11905972805017,38.27534802430264,33.95373105370643,34.35607766964137,34.840380370234506,35.33972490974248,40.199383877359544,38.42239750450846,43.216116946066464,44.43584860378614,45.037191858761744,46.02581502700812,49.05258598556297,47.134233024659835,48.85333916831096,44.99807057999221,48.477356311580316,48.10481550662214,44.20540602863389,45.18455668122362,43.145402019577105,42.83155772854849,42.011794448396955,39.513391394559214,40.04606522499522,36.06124376633518,33.13931536885807,29.972765934110974,27.486492149993158,24.9814047766793,27.655628186891867,26.031856505123123,25.565131227508026,31.041885477218276,31.91729329754807,35.89430920848716,36.005780648591646,41.70219003565869,38.967093793828475,41.465940820509985,43.35791943710228,40.149752233693995,37.420033042625775,34.186095508010865,34.60460200823196,30.374122902909193,32.865071362282734,30.821414570695417,33.39902954178292,34.79022685202086,38.34492090029292,38.57571479686308,34.71885616037278,32.88385445717794,30.227638891289345,32.3269196564428,30.554393439547997,28.62910097594455,33.55017597770372,31.84065483754145,35.82628286763649,38.359428227494206,41.80673094100714,43.97098466145736,46.73485275672903,48.76396388645959,47.487106674431246,45.77898886773462,41.85272118318397,41.187329465862106,40.54270271583993,39.8304472479171,39.95004423104566,41.10327414055271,44.86445456518058,42.46707917159717,40.01530082120012,42.34515935921108,38.88449300296608,36.929867866513966,34.03420159532572,33.55120397454871,29.249314998439647,29.725575608859675,25.066267074020807,27.10558791159426,22.047942193393236,22.49458953923514,26.547074907682692,27.420877225106295,30.545478818125556,31.947539915464265,35.333072048196655,38.60564394935161,39.3586112565912,41.59141999205359,44.62406158405534,48.1068921127392,47.57413976525125,50.92316735742467,54.042391106580695,53.07933752566774,49.171307210045164,48.69538161725885,44.64723906890996,46.01483633690528,44.136175367344876,42.75352752787192,41.379588383629354,38.42477790337987,42.26084864046863,44.78930040412938,45.83966390972461,47.509040000117714,43.3859296295041,48.93791975825239,52.13855242973318,50.138178411642855,51.65983727912094,50.58751472253117,55.16903528626966,54.97782094142945,56.688412179505164,57.44583590281036,55.275267207907135,55.36726621995075,53.1353717945258,53.06357369720733,53.51822042116611,48.890604091170175,49.035924517276094,46.340730899501224,43.02594067988595,44.88835942668426,41.207207570597944,38.90402253395304,41.41209191170646,41.62710917850865,36.852316774991834,37.42204960765436,39.91270834775948,37.94039677791537,33.78562262802343,35.979635535327716,36.74098372375338,32.22416671801961,32.16927216804808,36.004193868813665,37.8875716147584,40.32007718602488,44.61460045565179,43.62303107175103,44.89360998522599,49.88182946925678,52.043371581089396,54.33706111106677,53.23631390541762,52.968381077644516,54.626718479705765,51.8611021164578,56.71922091355635,56.74138599161013,51.375267754576,53.50862718553167,58.13202965042393,55.15283496497435,52.79626321307319,56.07178818271201,57.830219495224334,53.945711762696696,52.69885090284338,48.60536823845229,48.66710668665678,50.651913614828814,48.19211634639725,48.10445912050188,48.48973646351064,45.23510762317832,44.13083038695023,44.22943849103814,42.02837093297528,38.82997753482966,39.46930702454657,38.528077483041045,35.35891308190052,35.247926269552316,39.0503520810126,36.77662727542493,32.77650389525463,36.84529761454837,40.15350003333172,41.49100223365259,44.2111005157242,44.05917003931995,48.48770998081983,47.29587330752127,43.366811429692,47.37328373948099,49.68560787984965,47.099485879573,46.98336703336827,52.68739603388483,52.24687444870329,48.14731041567358,50.83953306099673,55.368469673868056,53.96890880534562,50.831843278354285,46.55552167364372,51.00336922763497,47.44708486657474,46.04620613321155,41.51014217293029,39.970458996989585,35.23805000856367,37.36605530864066,39.45825013899465,43.2668526510488,43.45409271708633,43.06157373327099,38.6212628731553,40.80695365776002,36.692196466160716,33.48110943317169,33.67894191192707,33.64236313300682,29.788802737341197,29.773362379581236,29.30329460968118,26.303528561926175,25.433523472635226,23.523640634618115,22.563840291948278,21.642610808641308,20.43946670059415,19.16615524568897,19.022578296065074],[26.81044514291821,27.94268565636793,30.003196689858296,27.778382464190518,30.043759478051737,23.894939692673844,24.162501726101752,22.201102188020055,19.313078347635614,22.110882805637644,20.196171212524796,19.175509357286632,24.607905773544708,23.80344812485498,24.827825385436498,26.80170288993008,29.768530566987497,33.019933937007096,37.50559614102779,39.436203715673585,43.04318143375618,46.92690989574859,48.57974102205048,49.64394061696837,46.85866060857146,42.85211116011234,40.52045931709232,36.352023488620524,34.179469464169536,31.461643277013977,30.551125938597426,29.437328225751692,29.566733405061697,34.011647907658165,34.58228304679053,35.66681091407012,35.08341580847008,39.28407084131328,41.04233857488334,46.45757411540112,46.04460481884216,45.19390027559615,48.54763449228879,50.838026461195575,53.52990849051788,55.02003210198021,58.204952153363124,55.58316922782582,54.10240632355574,58.20152998470881,56.93670061727343,56.353263343568536,55.47859428997746,50.88521534703225,51.42424953693067,55.61889876110145,53.294314569512736,49.29175825478549,53.12941140602085,56.087863568432724,51.377417760470955,50.33307603806224,46.60150796859531,49.173130392690524,49.25857608545356,45.10630109133714,42.270042637889944,37.97048417837229,36.722516363577206,32.34907068927428,33.21247481974624,34.08311276150657,33.97323224814361,38.702410525626895,36.32982940178297,40.962988161107944,41.8380161833056,42.14731334673054,42.94757846628507,45.90829117456668,43.653506875763256,45.37198018097757,41.219515361160056,44.702121123925025,44.657641825593885,40.81208934400596,42.05916119033425,39.65818580471497,39.857522128591434,38.78061651954606,36.70650014925583,37.50529507327211,33.49991624606995,30.26464796680425,27.162815495030124,24.925745409009515,22.535146002659452,24.263752454664356,22.361256911066025,21.168622583867247,26.996341209254368,27.55870107569537,31.840680451054634,31.901034943228478,37.76477018455349,35.277269196188016,37.56542742115248,39.74826095875747,36.789297401906076,33.80187878770716,30.990313446521988,31.518222976429062,27.54473668718042,30.42002470886698,28.628823116264744,31.614636316732778,33.00932183525744,37.10539203422093,37.29104991641565,33.08499274733748,31.63871180161451,28.856528269421037,31.21017490247788,29.128276124467487,26.90655895600039,31.53215350749177,29.416230338481494,33.183240007510705,35.484996590705784,38.518322821741876,41.088354991401,43.494832112071066,45.70639147801056,44.064804793146564,42.87282675066657,39.032538208152424,38.80895907582532,38.32987510460682,37.97874649334022,37.90350679314443,39.6880377332206,43.436922737089795,40.8333185445001,38.14519618271465,40.20271640199715,36.39288131185229,34.54429857161174,31.25123601733397,30.437645003421505,26.118196420057664,26.104828713721297,21.25672711391545,22.682759777804026,17.417201127984235,17.954710176955977,22.183408276351933,23.544449332152162,26.567582249004328,28.323360482369935,31.7468807170304,35.516216589814135,36.32830764696066,39.050062928041974,41.78411697423462,45.61921225421087,45.47263669055083,48.472937567840106,51.854079729551266,50.77763991973104,47.00510062715052,46.193484150112845,42.21870074949162,43.200776262103695,41.01484075122915,39.391373950406845,37.66219979043567,34.79713473824462,38.2357289567589,41.110559075301836,42.03482132206409,44.115995091276744,39.898631667555684,45.501581382924826,48.8290553684665,47.07455182062806,48.56771665059295,47.677590766267585,52.24759253232941,52.50035541975171,53.93762226321738,54.799846039022555,52.372343291782435,52.571843963218384,50.324163364419654,50.15682589940508,50.677528018110706,46.206255530191115,46.105223257782164,43.58508525058361,39.97552665915254,41.81217851962157,37.88739685450232,35.87317483907143,38.74444144026247,38.684836042328506,33.96396966208592,35.250123247117806,37.53824774981879,35.12068511829971,31.51977566532059,34.060737536400346,34.64276499348309,30.065844420245288,30.691640769388165,34.6142067597127,36.47077381013049,38.61296837022798,43.14253675613164,41.67752497042198,42.787906251707184,47.559319745771234,49.80548768844482,51.82597123805344,50.31083764069969,49.90230448788552,51.286094124943126,48.34465321167587,53.23081473410637,53.563198646690104,48.29785349268141,50.1761758677676,54.997024516435246,52.30978414474789,49.84554534416622,52.99200896673497,55.14786545407239,51.45596711874964,49.97820673352155,45.859341715392965,45.3991827836809,47.22482306054641,44.696202869427026,44.26832802923801,44.50100030617506,41.1222128082237,40.383258421530634,40.478806175415805,37.96476093128123,34.96023451022821,35.97730025407156,34.85682214191061,31.670543202233958,32.0127125081349,35.79442322180016,33.45956301883267,29.779687591645033,34.13183258832727,37.310318223954276,38.73195997454296,41.11887852028486,40.764477700650744,45.231415616003574,44.42836986309805,40.633155619632646,44.37960355780375,46.99256353930415,44.65877255760029,44.42170952460292,50.04709975902246,50.03574786467486,46.079108232486355,48.4981951217784,53.10280837626315,52.099856324475724,49.08734707410105,45.02426145261108,49.73975914474246,46.507876578110064,44.96582701702928,40.49923865937809,38.438634107178366,33.79007947911684,36.4549179378401,38.22674080451454,42.06762423125344,41.895160295283546,41.033689748681915,36.45772885465616,38.22655355777731,34.19803293294801,30.865363949537258,30.502825655623063,30.24358726803552,26.172252253448956,26.835264407581978,26.442096496678086,22.992686631798623,22.3825533810017,21.231774292771664,19.61806440690264,18.135653670190546,16.730753730006267,15.260417659065618,14.739446678530548],[28.083118416368116,28.737192528206442,30.137484862535683,27.298289981765965,29.19505355365761,23.00080335456319,22.49422411363379,20.47138744336401,17.010318407490878,19.03546427155671,16.664070291560897,15.881811719937982,21.17844644056926,20.072565284276287,20.761196224004717,22.935704043440513,25.946020046260045,28.944560406179995,33.360601794872665,35.397877992593784,38.88169671864987,42.841891730228,44.40526179556898,45.54608283332144,42.88622136476881,38.86162094141215,36.701218358211314,32.596057188286764,30.366053621246586,27.824265027383152,26.45173975375372,25.82574258681806,25.8929725917737,30.16818555409926,30.836945545437267,31.784084908136542,31.577773403950406,35.616320150361155,37.52230150938729,43.087954183093814,42.47152783125955,41.355740015912765,44.745398890130396,47.09095298810048,49.68798387118004,51.298310574587674,54.43278253076736,51.83993728449717,50.567555870287414,54.75444598028522,53.43151953619613,53.00828033129328,52.032534671752096,47.43480530935805,47.97908339054029,51.989055601564914,49.532363825091075,45.52766345819605,49.34799492119777,52.19922566405669,47.36488990747597,46.2029979179821,42.481361359040044,44.87933222978201,45.05253605393738,40.99114527317325,37.96937697666738,33.70762053973863,32.37530661403575,27.970048960009056,28.8326540510982,29.616921337043287,29.48061420031245,34.23191477032102,31.965282043955572,36.62986772001956,37.65431644970854,38.07638832345224,39.00454792478742,42.05883355383243,40.082330212062686,41.96100415725283,38.096413140755296,41.73980937392956,41.55834340909219,37.51105189536112,38.411753411478315,36.12169374233878,35.94341590202514,34.91240828313524,32.595750111028515,33.28105620119436,29.27448054476963,26.178267184897873,23.05089522122965,20.677250658070246,18.28682313367218,20.525873508613326,18.98643135102997,18.678189164233817,24.030806622234177,25.409630953537942,29.16955389591705,29.849528977353287,35.719896747666475,33.453880534644256,36.19129464721112,38.483631899426,35.751328326055976,32.572831803769084,29.74342248858504,29.559399642566657,25.396502946169704,27.850582205031223,25.489391711589843,28.4392319205176,29.447486998699798,33.44912581808081,33.31446633058489,29.09035590885264,27.74796386598188,25.176643341605143,27.90353684628385,26.130712631967857,24.347841054111427,29.198578554783715,27.811192581350962,31.326543463735593,33.87871835088817,36.83581274948809,39.72814440303124,42.24025455572304,44.07283366139343,42.308599091554576,40.95899059383478,36.89042889290834,37.080185966047644,36.09038166555356,35.473514855646684,35.06816203764043,36.64628656218814,40.137207497847825,37.32275389685428,34.792803140945146,36.71968713510992,32.943230048634696,31.285776601311994,28.13130284091541,27.736304392235482,23.606224951985592,24.235588511003737,19.429543078405278,21.418866992280304,16.78742908491923,16.182435773343883,20.103107725544703,20.930941938181842,24.39335838109697,25.47575595378685,29.39660849547995,32.850799288927284,33.16550504120273,35.98913718412838,38.60040462318184,42.49896413372016,42.58150210308796,45.69447969604558,49.07193660200141,48.30155899655204,44.51894969617388,43.74123791856651,39.59980855338196,40.402669022238875,38.26429318686339,36.54855337751005,35.03863019531417,31.8276576567852,35.57058857591626,38.23150295810146,39.444647898065284,41.390014859957994,37.609397093261286,43.28411694991266,46.552052056996125,44.66786429243014,45.744559653024716,44.53290214663288,49.14099918084861,49.38140131716106,51.11747257668086,52.17622735847749,49.91300836157351,50.392325298655976,48.37329355311156,48.47353869656843,49.31422143276606,44.91942380859965,45.1318204061168,42.93967673307802,39.3252691547463,41.672646669490604,37.79834047928476,35.555651835268364,38.782109075980614,39.109777079399755,34.36222272993972,35.516414458881044,38.239232862232605,36.17794968212228,32.436516042092734,35.14526263216346,36.13755859438579,31.60773287003083,32.06699640260899,36.283251879316296,37.76163434815534,40.35842986743877,44.276638164861,42.76243459878251,44.20347226883177,48.86032446211889,51.46729360094634,53.187164854011634,51.560637997204545,50.81006245405228,52.03230287252396,48.78447950082056,53.55886697397369,54.0911849573676,48.59379597032777,50.2060397843582,55.05974873632135,52.40431941998083,49.67153582414327,52.57201683542042,54.91068483642348,51.273151136371844,49.26847527739591,45.52922945588302,44.79332814089053,46.88278543968086,44.77091175224695,44.24008564251255,44.87191876159406,41.1328423545938,40.355519597985094,41.08091988174109,38.52359979313016,35.20542348954127,36.61236754214819,35.94888614969103,32.815971614261194,33.1136952652716,37.255087289501006,35.24717531410724,31.573009159512598,35.91650015358432,39.23666775241938,40.341216150427464,42.52613929882264,41.74029406061869,46.22177759419312,45.7524549125077,41.616822873246164,45.074249808299044,47.91849557185951,45.608568586491415,44.87776755041041,50.625380141325124,50.8291556300029,46.59867076079861,48.674279886304966,53.53103347951814,52.663005342292436,49.48186942826777,45.3970116100162,50.223460847659744,46.96400875724526,45.85759967941802,41.13268630509466,39.05498828362822,34.381877115137115,36.83492682498874,38.341193906008414,42.10223902430928,41.66359226700783,40.977811721564294,36.02971989853906,37.53650468989181,33.200511514351305,30.68681904953334,30.16911762365509,30.40017439238493,25.942106170370185,26.543824992578717,27.028713479110515,23.601718745665025,21.930354682375583,21.68072036041893,20.734273346565423,18.799819715202787,16.782737270990616,15.011291607676535,14.388615878024623],[27.463240780863327,28.125714979912367,29.434688557186227,27.083092225952313,28.559650994965335,22.373240757198953,21.955580856596384,19.404127965809327,16.586428213349283,19.078491686371716,16.81567192784801,15.234658357969437,20.87125026072003,20.55192887502367,21.03336933057071,22.76910544807088,26.0674080122375,29.20762760359116,33.927817628086146,35.5587569287798,39.24548629293004,42.98165042763781,44.80146476779874,46.03980278958454,43.15558347718964,39.29048559920437,36.82282962842741,32.76221955682758,30.28512891639927,27.344701882818473,26.37260712223199,25.025496037057085,25.049252595850056,29.54058286921289,30.128549307694094,31.39569010875017,30.751113424691358,35.18619492807079,37.08792584669955,42.3797493230344,42.20907782530468,41.24152735784372,44.44467216235162,46.88864079703139,49.693007506461974,51.324131219457215,54.4048729005964,51.61736183342785,50.28146122308937,54.31522668896934,52.84980152461349,52.22159042219391,51.23069626540572,46.72511706466294,47.04538852209212,51.26544237278939,49.06721610051,44.94937886238877,48.713142841705405,51.81185185536897,47.18124527009453,46.08752855635593,42.31469280522166,45.08388020867611,45.19302820629159,40.97402902206454,38.412640400291444,34.034826057909115,33.166639340305814,28.783439566135435,29.964027793128345,31.044421963282996,30.494705458922148,35.09804888338731,32.38790042171012,36.90282815612172,37.61526089051816,37.79190085028408,38.5306018831217,41.49428257901305,39.18277130150039,40.99975958265308,36.82862824147701,40.416053006035945,40.51424805590922,36.58185611024016,37.79369832505279,35.210611506601026,35.53882657369564,34.31576694212961,32.405427270720345,33.33115450843933,29.334175132375794,25.973777702487084,22.923094209806866,20.829880289287775,18.563148754909367,19.816828736700476,17.926368480997294,16.716284050983866,22.5173964243791,23.390584318584757,27.552747894455063,27.99871297741429,33.9867111577174,31.83839809944292,34.27802063075871,36.73942724299675,34.12508093032508,30.83182686615329,28.331998221797775,28.448107361188217,24.569127348537997,27.419211709807726,25.45821141430239,28.68128795358318,29.816339805750385,34.19089640023803,34.14380895193297,29.723615852602414,28.635532208929813,25.93701375874685,28.668281562979974,26.59494441378714,24.47887440256394,28.9822213008493,27.084721464454198,30.492099733111726,32.78346689462275,35.45583903485097,38.52038935032149,40.74172821782933,42.81541194087102,40.841177136771755,39.90746816940485,35.98928559862612,36.353105833301214,35.65133357165652,35.37682422243293,34.95082099105243,37.024504078573685,40.57331575415884,37.71107969446857,34.9791805521443,36.747991443202054,32.73436202386368,31.098910602512134,27.62969360703086,26.851755432014137,22.678731951912912,22.723762260346827,17.78409278930637,19.09431682342554,14.123972516775815,13.879806749928312,18.052440984812478,19.449453028959194,22.687260867193896,24.255918318690927,28.034053898659582,31.94544873078204,32.46636934121089,35.594688267753334,38.024118429586075,42.133361214173085,42.40402317360505,45.22726286908841,48.77323341412088,47.82552604133372,44.1525132276853,43.13617397450469,39.11824750673951,39.70815387075897,37.34347538739532,35.48975780395378,33.65228373779522,30.626854068638114,33.97172945244022,36.95289076131742,37.97788613379125,40.25919854836613,36.277588955413385,41.95300647363166,45.32208742127921,43.656200690828605,44.848927711647804,43.87549354100609,48.453373381538995,49.00143518468099,50.44563857921446,51.50764135940406,49.01811411382591,49.476389042261054,47.3762533680892,47.324016021933645,48.10364690831888,43.80340617992616,43.74881830991701,41.58107106564702,37.78286595846599,39.9453024334413,35.906056339283396,33.94500722764334,37.29351440426668,37.31652033039229,32.645943500363394,34.31449478852676,36.749983498851726,34.30251229032451,31.007253830290747,33.86633592827987,34.61168987345301,30.078591782367656,31.019401439706353,35.155883260989484,36.71811903933257,38.97254898512585,43.1978947775103,41.406235696867796,42.63480920270494,47.16123088434307,49.70093598775803,51.32961817399403,49.473245624618905,48.73538059279939,49.82050405065108,46.55682057423523,51.37160423111267,52.04697726467346,46.70511349611862,48.22218468145566,53.18544448746351,50.72116219073553,48.008602253312574,50.891874677214766,53.43021218745686,49.913614978769594,47.93004708234707,44.067438126845694,43.06610254657491,44.95902329804845,42.679725741747745,41.947967051321214,42.35578119926374,38.64418810618459,38.136109689102675,38.673913453902586,35.920478608539625,32.84100028357474,34.39564587580325,33.48350787194647,30.34539228160003,30.96834104506122,34.96349784518114,32.84033575087483,29.416398822375168,33.90764222826699,37.07516837838024,38.31654256370717,40.3251572630838,39.53255400636792,44.01401666457699,43.707017350515706,39.782740366241065,43.13524765180932,46.09609395442019,43.9550451686803,43.29892551176967,48.931962891316516,49.34807431809811,45.31464175661554,47.30967804456473,52.1168992428949,51.46584519770888,48.43192433002994,44.51209100152027,49.44750213515953,46.41952874010037,45.09174977517206,40.52250024460826,38.13514740851767,33.5644852139907,36.402439141955476,37.777256225321274,41.557190310745,40.97466654650703,39.93113357188023,35.04298909311106,36.33822211451273,32.186271707746464,29.361204892277257,28.496417605458415,28.424766000747876,23.953562523517043,25.0640142047798,25.349331556464637,21.640733527445278,20.47702584801412,20.541450757628372,18.980406823680006,16.780981666395267,14.783123714953364,12.974640047011166,12.036300492725395],[30.951076256984052,31.622094970634365,32.799812636723544,30.641609653455173,31.730609556166726,25.614957070692714,24.934834003011517,21.917264929673333,19.393621294988446,21.552056148271134,18.91597580348252,16.753785609760683,22.492974484327046,22.574798165127515,22.180038990126004,23.69206666621637,27.474336479065048,30.209873680964378,35.097868660754216,36.450830627283274,40.085731804280336,43.6714071056613,45.619481096687174,47.16216924325423,44.299679286379366,40.60422002423238,38.12485854852193,34.26425206087647,31.381228919376046,28.188835216799443,26.621498257204355,25.158718998961504,24.49002848941802,28.85261409702586,29.932439134312503,31.68950375085156,31.11213960642025,35.97295142474309,38.154612050442175,43.22169652656348,43.40545653980726,42.145683616381085,45.09260483634937,47.817367990640506,50.718123902301905,52.588877760922045,55.4968252499825,52.50018315019127,51.45889717491923,55.39553295722605,53.59796770631916,52.90388059756471,51.6652667490987,47.373291491504105,47.17120234360623,51.400535859740025,49.46379635303305,45.06991487343536,48.564250249163024,51.98150131585328,47.43427411313752,45.99186610004895,42.06453156839296,44.99744144804561,45.45112662252576,41.2566255291962,38.9138219777249,34.494836358030895,34.027713151610335,29.59146822385653,31.06314142740176,31.957854072304393,30.957923313709138,35.4664988189804,32.48588126055082,36.470971281199475,37.430698636772966,37.12406949281053,38.1220214186927,41.296307216036546,39.016113211231826,41.18908616902901,36.95699664751108,40.75637367671293,41.22540209790548,37.159484697257284,38.21874485026778,35.17225608561198,35.62897571222192,33.722754159184035,32.038836266813334,32.62610501959767,28.730798560994383,25.296638976530787,22.866117269903086,20.534040902129483,19.05577745773729,19.682889118546807,18.198786853081828,16.48855065169558,22.460321574364034,23.691646976765515,27.877559860635177,28.806989223259542,34.96638799781611,33.30108243878771,35.610240360044095,38.41176627910961,36.146504314138895,32.60538668764837,30.57838632378937,30.559140904590276,26.921335637353895,29.78197762786884,27.67679979294779,31.052049105050653,31.83431531473553,36.31374852509848,35.872322436713375,31.311725405824138,30.59946323349199,28.14311927610418,31.25441046660145,29.313134681082012,27.352914015687595,31.703262896305205,29.859649561070633,32.96264657907969,35.11596118867686,37.35213297817334,40.82633670359149,42.73606037165287,44.84576068052388,42.50269587525568,42.00305079092565,38.1133188021503,38.951572883766424,38.179017217746434,38.00199346611211,37.28315848579331,39.53894394959968,42.851779990900226,39.73122760249901,37.042228505927945,38.47785372799748,34.276390079544406,32.94664319530822,29.32186073657405,28.564278222447292,24.620937581054577,24.473898003267013,19.515299815559406,20.014219525914193,15.082973922445241,14.359320197838574,18.564259974821546,20.421925543092584,23.75723445803291,25.256752588898227,29.411899074662593,33.59892596659072,33.760230694812556,37.4030879061218,39.41636756790239,43.85422024539521,44.57390233940045,47.19309618804678,50.89201302747664,50.04787024808117,46.49522571194619,45.27325518748973,41.26494233621144,41.41898359984782,38.81838019723722,36.63895385682756,34.53577763169317,31.346272956787182,34.26771583072654,37.599017932569,38.69925024785081,41.40736183496299,37.667876333854586,43.372811989745685,46.81100915604408,45.3360660157987,46.21178352882996,45.163709296406,49.71851748386888,50.65882300313708,52.08623503985937,53.3562779177801,50.7615935028915,51.453632227374115,49.45614263315675,49.42054375685454,50.33621864735285,46.218174534229775,46.03239393658461,44.065493998570815,40.07944428356059,42.213655320760644,38.015448187265704,36.33766829977774,39.91145746851488,39.69402829697292,35.14453418774453,37.28484648275569,39.509372147751954,36.70716358963497,33.88663875136205,36.8661061056644,37.38867255155019,32.881514009025196,34.213255484055736,38.247938779484734,39.88488789081469,41.834042543003854,46.31366075078144,44.29809611345759,45.32968306154248,49.70084542036652,52.156156835281465,53.67871865760364,51.54301418964487,50.784978555616526,51.640627509494344,48.2900267059451,53.102916056453886,54.04278518799743,48.86895628001012,50.16427300916293,55.263866439644275,53.059485597268136,50.292995193388755,53.039310615492056,55.878952481829806,52.52834335199465,50.37014103259675,46.550209792025306,45.110229898787196,46.84871408298474,44.51744930708287,43.42947422111335,43.598210817531815,39.812256979423,39.76965437463877,40.21865365054028,37.12184667555738,34.397060578113475,36.28718373640807,35.08032869541715,31.973261553173593,33.07082227670839,36.84416542829933,34.55636810559634,31.520249849850945,36.16120765495398,39.09937288998765,40.531270841110015,42.296480764229806,41.46004484287281,45.91656484508452,45.86150300721955,42.189825355691305,45.35216848439012,48.475068271972695,46.53568347455877,45.88547690304621,51.389006124983474,52.062861665394,48.195634102023256,50.03476366564008,54.82937302733444,54.40886646533566,51.4851171586995,47.70519080532697,52.72340399613464,49.85081493845073,48.416460015660334,43.94846521959921,41.3605058135504,36.88384906346697,39.927673659423924,41.18175250035219,44.94372956098885,44.20804461690568,42.92992756446968,38.01749621301788,39.01068851802882,34.94236897468461,32.153199191017784,30.870526779978167,30.589834227729373,26.031257165458253,27.716980303762135,28.004565887552495,24.043785283753547,23.192979038618926,23.74255238121289,21.73257821319108,19.248318076597823,17.19789663882156,15.264847238124698,13.826692733652711],[31.805053022980093,32.59262219615409,34.05773127594621,31.402362957914136,33.1215039048425,26.924349293707085,26.293514251998047,23.90067080503891,20.63419302932482,22.412987382777626,19.67370132142904,18.43429908674635,23.875778851511047,22.996854043004227,22.88420060481453,24.96221930891055,28.407140753747477,30.98521904846519,35.49870581307877,37.384756321209224,40.76295435237739,44.6497723643895,46.2653966328097,47.68877303169247,45.11720743124047,41.20510084223113,39.11314604205178,35.17412838222064,32.598944166506215,29.880753569734367,27.793013669489635,27.22841729170443,26.588372546231312,30.689035966224683,31.912460313564722,33.29215005170085,33.254115751917894,37.65084069915416,39.83796581577644,45.26170075382935,44.89270597365562,43.45124129531552,46.64108887141527,49.24894887259764,51.89263117144594,53.73494918287399,56.719025333836235,53.96772226776587,52.994720051506384,57.128759457910434,55.5138877994783,55.06758932478547,53.850694664582385,49.433211665165,49.50290848957133,53.48574526347643,51.22706589483496,46.956733901651766,50.51876957204505,53.64401556609768,48.8272574879171,47.26552056722179,43.38216450799891,45.833045200376496,46.40903722584087,42.41573378829758,39.460600491418106,35.18150107627198,34.106664649010106,29.617658170155302,30.67281281053709,31.121108431591587,30.66662759708645,35.394666337597926,32.99911765350688,37.140733198344584,38.567776021248505,38.537908832816555,39.82105915081023,43.13972261256085,41.2767110319837,43.53852206925641,39.65369555169961,43.52434301327861,43.65810502065184,39.44856442675088,40.13995937163999,37.43553413229518,37.263230264170545,35.5493189230372,33.34084787979122,33.55238801724788,29.6391911370023,26.540660213662083,24.051262924826382,21.28780480053404,19.69608831891992,21.580357019650297,20.491456938894135,19.79839366435369,25.34842509996807,27.10026645296055,30.904248625943072,32.024406430167,38.08162371348774,36.200404396856364,38.82453095440707,41.40122731706445,38.910189627509084,35.52903540269,33.04755517549461,32.79693590445885,28.783955577178407,31.25550255935632,28.717774703006466,31.773463656017146,32.447833150465435,36.46657629683435,35.92784652082636,31.611153160736208,30.556180614397434,28.239926000204214,31.31585876993774,29.707267123014294,28.079803617116617,32.87178637058501,31.513219533088876,34.84364812371816,37.30214530072356,39.94629657668268,43.15113839299269,45.43127380944181,47.318971582800145,45.26232157117644,44.248236137426574,40.18283927733471,40.71600938359871,39.66697065983577,39.09294635206279,38.45496964553129,40.106340211784484,43.38998031413654,40.34982019932486,37.89587706506666,39.55960223784174,35.64181081253847,34.249701773575794,30.983197685593222,30.638010749634006,26.657991111554782,27.128213098540083,22.22083692255221,23.53414935958738,18.729657752998857,17.84166357175381,21.901429992061995,23.14394083047546,26.73673307337039,27.760569679600543,32.04931962448127,35.74082906756967,35.71871924077517,38.97300098535518,41.25047977464263,45.42446014794609,45.86625390195551,48.85779498414024,52.34956273162199,51.684332601341666,47.97612633763865,47.05468646711156,42.895471412553476,43.35850600642087,41.03052300614156,39.032160383434366,37.303630288270526,33.90769751436428,37.31801387515051,40.28702211157985,41.59117629204845,43.90156021025769,40.32566565557744,46.04964421598432,49.383789009215214,47.64125814348925,48.43803772728273,47.121810312389215,51.72682328789939,52.27139529343409,54.04205967864806,55.28066205644921,52.94699555972798,53.618150166302996,51.674564246908,51.78590413211049,52.719141766686825,48.43817174606636,48.53333946055739,46.44775734712953,42.67677070850698,44.948499595772915,40.92102217183286,38.91411873563837,42.27400484719068,42.35813984600774,37.67355461492606,39.1966206240758,41.70579196802028,39.29401029107913,35.90015603504972,38.67078719790782,39.41252042444684,34.854069534387435,35.62016752933868,39.71331941755001,41.353016504247414,43.640559892486365,47.90584821576471,46.25628874141577,47.48556415903759,52.08157585485355,54.53686249059415,56.26818087687133,54.45438704038542,53.766107966928985,54.84613924577366,51.57629044304279,56.3878467901952,57.09450412372385,51.75182118908398,53.24173404039733,58.21134161572966,55.74119571433913,52.99975864230342,55.838693558371695,58.385382322327196,54.8487224963325,52.775490836167535,49.008833538775605,47.97397760909067,49.91789917968411,47.69260441098276,46.88610011334819,47.25343191404729,43.49402563893766,43.1039376507156,43.648881855801264,40.798671806759465,37.81065232641656,39.425656185836395,38.419613679557784,35.27239879033027,35.96247111204038,39.874759661620935,37.63065936465192,34.228409000928494,38.72787765167169,41.852670558735824,43.20121905416743,45.26420673029059,44.54323944440027,49.02445853542853,48.67004348755181,44.78590922203153,48.180140949681345,51.10910520329357,48.93086921817684,48.30409571969807,53.95680262559935,54.29981189561603,50.223846440976345,52.2627457407998,57.0815682237875,56.33899556109226,53.251051040038625,49.24368030346296,54.107679799307164,50.92786249834704,49.66943449140324,45.041913633722324,42.84956651539198,38.21392666078074,40.830039251292746,42.32816740728829,46.10485734050955,45.618477274602476,44.759021599799176,39.82242272168944,41.15968188244872,36.88761943222702,34.28019900658546,33.47185241684483,33.465795063423926,28.944260188434352,30.010051948663467,30.34725183756152,26.671466846066966,25.39941070761619,25.344615806654375,23.90041340391667,21.7923297374776,19.790474474130328,17.902499984800134,16.808069901415074],[31.867127059941364,33.11884531661084,35.25838021944128,32.97499500500573,35.22151838584418,29.051294570953953,29.078583962691745,26.93012588272388,23.88550594190162,26.19261654879604,23.799215862307076,22.656290310227284,28.152974966255982,27.20865050613362,27.51613064586458,29.60697272628839,32.90409833620974,35.66567351835306,40.120689257046344,42.09352708500249,45.494905559601044,49.41726125769848,50.99891529579791,52.31869179358893,49.738866489386666,45.7638694114351,43.65161568668539,39.62268991606217,37.19502626555072,34.467634472262944,32.63153271826517,31.906630815476397,31.33117329648772,35.49688065212026,36.68212538466385,38.07200768811677,37.86906328783652,42.27620684752457,44.34237815779944,49.75322218923688,49.389483059050164,48.11537704906208,51.35243241314288,53.8813629369948,56.526876864416295,58.2607424609899,61.314551282502435,58.61235541148359,57.48567615405222,61.61197260625555,60.09595516941399,59.585779980882975,58.45437168945247,54.00349878813767,54.13677249885487,58.20546252471568,55.96864784505961,51.729787133347685,55.31717454775218,58.45483773568451,53.66063739756861,52.149320284659055,48.26805627628669,50.71208228437371,51.26549747622936,47.261787276275115,44.267731146562035,40.003704075033426,38.79658452199527,34.32039440114954,35.22556258504921,35.59458551206985,35.36557279266212,40.14220889241902,37.85497673128677,42.00055624781848,43.45612890853751,43.39959061668066,44.66900160221946,47.95803761348118,45.9803923372058,48.141811335108535,44.10103805486004,47.86302913930114,48.027870451849616,43.9419499383999,44.82198088732468,42.110388370852704,42.08036647119388,40.369900453721705,38.22208749482929,38.406647895773716,34.50809785419295,31.402815334323034,28.917846363131225,26.17390688900566,24.509692445515842,26.325145137493553,25.012188740861035,23.827344205549007,29.688077030305056,30.875742548660757,35.03899054442963,35.68433839655265,41.72295764281755,39.59406615387256,41.9143097615325,44.33926378835449,41.589023844787945,38.41693694182876,35.824717178576854,36.11281642728356,32.136509282391415,34.849130699929475,32.64819115618188,35.63680604285805,36.614721123902605,40.56347361897088,40.27682912636825,36.05410729968714,34.77921320230639,32.315102945064744,35.05755885437871,33.293150932409546,31.401072804107955,36.16631067627209,34.34444186388353,37.96700936303088,40.30628816125889,43.138664612506524,45.986175141726555,48.28264601004403,50.440623959862386,48.571126406929835,47.544179673726674,43.61704334510188,43.69666160801983,42.9992879325573,42.52106517947792,42.19672085909618,43.82136240912477,47.32694388686681,44.49336788555698,41.97739514781636,43.83699819705718,39.974558612652835,38.39112840491839,35.109956532322144,34.53215760743026,30.36410148153635,30.476150498013915,25.535156542694878,26.586015718945795,21.28312697619358,21.298495204311156,25.59133320799564,27.12659121748062,30.428775356354805,31.898615111674438,35.81371172680054,39.63993282449412,39.989791573346245,43.04316940663816,45.5153416556655,49.55993398006308,49.71267058715668,52.73324670080046,56.16581699129454,55.29150741500688,51.53495756593808,50.68062114762594,46.60979121576439,47.32747707950793,45.035893220894174,43.16501107626923,41.34853806944793,38.18229877353199,41.465287108268754,44.5322994130211,45.64720558903747,47.972272656004,44.06124006500418,49.73828061010223,53.09970408675221,51.38994635489808,52.52463861496874,51.402100670774146,55.999297608003204,56.43112806497401,58.05379593736534,59.11427167568881,56.71224106508376,57.13280015836308,55.00340019397812,54.92360810719677,55.578886341912586,51.17804601335761,51.07939164281093,48.66769590938328,44.96779813254969,46.81538118277416,42.79670570329105,40.90882057345176,43.880030068852925,43.69646938292414,39.017560908902276,40.469895544884615,42.65779767968132,40.03768201025421,36.63427590481569,39.163796468803625,39.58001709173702,35.00422564033231,35.74125801980704,39.53297088802472,41.52086285514619,43.46526717869795,48.22517859835446,46.75028277637479,47.71545452229927,52.46814614844125,54.5562890860527,56.63881938659301,55.02980564713332,54.69458046595288,55.98420656221459,53.03414498359069,57.94028320509907,58.39714957870459,53.241031475134676,55.028567109375075,59.92742742512112,57.35584600419278,54.875424671793496,57.961928144892745,60.251967738203824,56.615678230700965,55.05321948976935,50.96287244154842,50.29286680277751,52.05130760791554,49.47331402261664,48.82889454106689,48.863687161079916,45.45185250371335,45.025298171646845,45.00601331642479,42.25247783593033,39.51106908758142,40.70100292035225,39.3115605256581,36.12260862241473,36.76248662996108,40.33710859720551,37.793490275909946,34.335072972493236,38.77047201742712,41.77578400383995,43.41151402932701,45.735396856415875,45.4636016663748,49.920930523460726,49.16778017069932,45.57265887651296,49.29077652784891,51.936228949826635,49.67543098841385,49.5239712578786,55.08811161377268,55.12678152852902,51.25781659398484,53.67419050975236,58.25178962077773,57.2805961880575,54.306702127975264,50.255594841229325,54.945920003249384,51.69185157399465,50.092078089822174,45.67347703131481,43.64770794648327,39.00806270050725,41.6497163677932,43.4698400195019,47.308925932915066,47.1527672426261,46.27698968964469,41.67834583703591,43.35317233454285,39.289991289182325,36.0336110689064,35.49733985798232,35.132120821949194,30.973220203961496,31.921413607947947,31.508994293890204,27.91893602418792,27.443197115363308,26.4620404890728,24.63449688695245,23.02906843230579,21.560448213069666,19.93750326503399,18.98305823291474],[31.45335833937816,32.53775175499812,34.60421522503389,31.65659353440195,34.31909148266396,28.211489383777398,28.073456606478583,26.57793673362073,22.859321557945254,24.63560886086433,22.27848930052543,22.070321834943044,27.054301994449027,25.242629252367628,25.956335542934895,28.498532735655623,31.30040059860174,33.9701333599455,37.98341276400321,40.448839372814035,43.610945033811426,47.78848834617635,49.03695925078889,50.14345269166413,47.82395283850628,43.66464287097568,41.914808082580876,37.83561412118315,35.814907913342466,33.623941985072214,31.581280583269937,31.652407123235058,31.378447672923464,35.32897679038157,36.39376565528556,37.25469675441735,37.50750544864521,41.30718790977847,43.28173320284688,49.03083958830371,48.05887744547506,46.70907348949754,50.209918713139174,52.527114475799344,54.89183360398971,56.524096677620726,59.669279344998436,57.26638876310053,56.13808470380597,60.449211026726125,59.20118691631651,58.95804136992964,57.92344650083577,53.31675681565588,53.87926682191561,57.68460662186355,55.07015369748434,51.076186472762245,54.81071769003343,57.5371868880332,52.50804897889458,51.06470415017062,47.325657510383756,49.29309668927404,49.77366038258251,45.96080342379099,42.42548181472284,38.34872087564541,36.537351466284136,32.134201291402164,32.599809033587846,32.714328185587924,33.072034371577935,37.957692784037775,36.26210654389381,40.729522341166664,42.39021932768741,42.79600233417512,44.147007583630156,47.42939739191241,45.825758660318506,47.92196026775413,44.27920447787409,48.02801236526443,47.74800266422754,43.58610914401007,44.15258421296488,41.94521670896154,41.31183601441871,40.08780819417368,37.440367973927835,37.52204652180129,33.6164678035965,30.85161633559191,28.093169371479224,25.224765876094725,23.22878959319854,26.15278580902838,25.082936795679252,25.001623146428535,30.28227601041028,31.950700323225853,35.609245350090944,36.426468096857874,42.26959051595531,39.918613882803356,42.668813176420386,44.82983250241955,41.91486349089495,38.90498262925792,35.8566856853791,35.740138773409754,31.43546706802948,33.645013622103214,31.04760705817432,33.65508090988621,34.53936991485446,37.99470269046454,37.70464710909936,33.80051662647511,32.190437959819924,29.870399869233154,32.47871170977848,31.064604078985997,29.570962948635167,34.664755935904786,33.49493797646413,37.214908230066335,39.88502935503509,43.100918472544954,45.70036814400342,48.404992614627744,50.206556356125716,48.65398699815546,47.034261434766556,42.92784487465678,42.770049556007315,41.70701041124546,40.80820655588579,40.539321530240244,41.54929564626726,44.98457359923392,42.28349080049032,40.01595517719274,42.098933594678094,38.58780251543936,36.93608624380599,34.082081264655265,33.9436259436068,29.840993826755135,30.670339698588883,25.923456555138902,27.937364312047258,23.082001852258983,22.67461348672178,26.657701194071315,27.430666413867627,30.95330113185983,31.85845679119298,35.83785948680909,39.03907492277261,39.21365722894347,41.78185085355855,44.5293758264957,48.22822718435233,48.080868452578656,51.46170765099691,54.64672803366474,53.98571528832723,50.10273117010199,49.57136760595385,45.37279479629209,46.40789859684595,44.448223147610925,42.821204035387304,41.47206583732647,38.14027502432768,42.000654128262546,44.56918290408265,45.89343601034381,47.69249273689663,44.007061412704665,49.6593728957035,52.865947771683416,50.85065844271916,51.8878964161356,50.49694989718604,55.1128722355109,55.08845079994676,57.06466284016964,58.08308129725196,55.99569877336343,56.414843312103976,54.39452725824824,54.52586544009376,55.27077230419879,50.75272044600853,51.0478011570173,48.6404613706325,45.20356542991803,47.37992127233686,43.608008468282335,41.289941693539255,44.15102440263369,44.46912702895313,39.684086410698356,40.42421995690493,43.08717953071462,41.10019060331707,37.06466271666663,39.44254118874298,40.316663854657214,35.774891292257706,35.83979468106774,39.82122218497746,41.56073388318986,44.103592038751145,48.232909993435484,47.10735422629215,48.466282606032,53.355180885297486,55.67011925933984,57.771611331499315,56.4623517663318,56.00229408963219,57.46117643227587,54.460235668410704,59.28704303633025,59.56365135167543,54.11989262662802,55.997901727123406,60.73822805988863,57.89234534304556,55.33521140770644,58.41015807358932,60.43731120465966,56.64369825609444,54.97800582685905,51.11767522741952,50.79237228836224,52.87295775332716,50.61236225557153,50.26907576653782,50.74895870085426,47.21967982689763,46.34242606941552,46.744863371484996,44.299517060181536,41.08982597323056,42.13935914885883,41.261411049742364,38.08746097521475,38.22142299837458,42.14321398890434,39.90442021767357,36.0635637584149,40.28314647256239,43.5745755416047,44.87748420092699,47.38962601236419,46.987342926356646,51.45193342375731,50.56127128226696,46.55123755788099,50.33741288580857,52.878110739420244,50.38692697786114,49.999080018535345,55.74859520024766,55.548447562135465,51.3466458203407,53.785123091938566,58.48075795781063,57.25244429316274,54.0481481441048,49.79220305385465,54.35439017594259,50.81912095249385,49.62246587766372,44.95437771439358,43.31634161926455,38.56748207766776,40.669947294543356,42.57533071369891,46.352667051245334,46.32092868948969,45.93814771915744,41.21902739169422,43.12070624316498,38.80610067400366,36.07857294688582,35.97127426703212,36.10649837990941,31.900341653812212,32.16449450178704,32.19101474389215,28.977175092412203,27.651854756815002,26.48542756306376,25.58007467683516,24.181102479575976,22.545715564629752,20.957638007541103,20.421307743091578],[36.462486530414765,37.83133968286809,40.285885332963005,37.38098959502107,40.3749115878898,34.33376650594917,34.3398071636244,32.96173865322775,29.196681574190407,30.794162530013345,28.338410628684485,28.225078701315358,33.115405259519676,31.058724014574995,31.516281009104627,34.18549509213691,37.006512786501,39.33411617338452,43.11496953603815,45.76060521929989,48.66747656789296,52.927366314148514,53.990021687619866,55.17700955211484,53.116781598058594,48.93857714831412,47.46969973216548,43.48425957423219,41.469041079852836,39.41586438531805,36.782984340474115,37.24864345247134,36.557992146810555,40.224357732781115,41.70085480170622,42.658292974543514,43.22706757986336,47.005978431248295,49.11671824071089,54.912080904805,53.818875462812386,52.21239432788203,55.69448618806139,58.084577294084376,60.31061749649265,62.03815355141979,65.12327687734243,62.790936290076296,61.869363654482434,66.23433477482816,64.92440312304811,64.78612256870555,63.62829870384068,59.0895931263383,59.48549448262575,63.14287932171156,60.510267950601374,56.43401315800691,60.00364968365946,62.743394950138025,57.61712225425667,55.84725254802439,52.05982881292229,53.75510508263423,54.58520856762335,50.980685819711354,47.175902709671725,43.244859411409976,41.25906995376206,36.888610451033706,37.18270822903025,36.75891692083413,37.298046307831726,42.17695965622398,40.81239471937964,44.9009787828119,47.10066310381584,47.32431302465864,49.06040163223398,52.56320649210644,51.23627871894898,53.59647867445861,50.08303033636843,53.970774073199394,53.748582157634196,49.466287446368966,49.76194896331231,47.460833388494706,46.56511887937942,44.98702779369355,42.203937764196006,41.7390231077433,37.9914636025394,35.47109749044258,33.17798067089382,29.974813414736715,28.476686667702314,31.580177071473,30.879548020555855,30.78290900393397,36.07068297832842,37.99436731965359,41.62233729909663,42.65341559573601,48.556480572947606,46.28608458252939,49.00216200235241,51.19187006532464,48.25377967824545,45.26206775005712,42.214201145863235,42.12074203929241,37.79050931752863,39.88957407695117,37.11920080886522,39.57740254764676,40.27317510538329,43.40498672011106,42.876556348459275,39.15953459267736,37.518833027234905,35.45035878013098,38.09187524844279,36.93629679038955,35.64892829186274,40.828159090806196,39.772697358940164,43.53983060214474,46.23817714236826,49.49038510112214,52.03598947185341,54.76789386942402,56.57868141512261,55.0425669161209,53.3899977005083,49.26225114806439,49.02892911546862,47.90915064385554,46.87086163675068,46.5978989035227,47.309684536662594,50.62075409670395,47.914757132245356,45.83564802127093,47.90640169320035,44.503995789234644,42.95234437067841,40.222487190976736,40.22851640467781,36.17992107247975,37.04670652405616,32.27391813897583,34.08892410393991,29.07099986941721,28.68469839961486,32.73857110364059,33.620617887316484,37.215925083467255,38.025607303261744,42.15928036389536,45.31616169733829,45.2997328465102,47.875666054872426,50.57983873743433,54.25737498352422,54.105253051581435,57.597442802017625,60.70557293102906,60.15046752591843,56.23630161358795,55.79897677228033,51.56307545805254,52.61012663323866,50.68370172132372,49.0065301074458,47.66693221860687,44.205617633230766,48.011797936324584,50.63973910648455,52.058701925755024,53.90611547440682,50.34029067808473,56.00387481373426,59.20212603183937,57.16172053926662,58.0766857060863,56.54165815154273,61.15961763177097,61.09006769772534,63.223378977596326,64.28346688225302,62.2752667365752,62.72462956350608,60.727147262512325,60.877764765126265,61.59444793249378,57.04243458621753,57.33839923162087,54.83733540683922,51.44907478760047,53.485297094286665,49.71955628257178,47.45102538986799,50.14089631274644,50.354108342470965,45.586014981134156,46.22681883216746,48.752421702386634,46.68112256689429,42.63477489089966,44.82134693402763,45.514018100625464,40.99886041834495,40.95128554422126,44.69056892692114,46.64248845495369,48.99583707656464,53.37493813167884,52.447935925375916,53.658159894090225,58.64946641508891,60.68555963198887,63.04232488761075,61.873868597309695,61.63126039876062,63.18594321038631,60.34293523888681,65.21226635046119,65.38894601794071,60.05260644839974,62.05126829571711,66.76024243062383,63.867140140530225,61.42595395002277,64.58933722245824,66.49358394028026,62.64448342520381,61.17627365729505,57.227804786825395,57.042989945778196,59.05815959897024,56.65898032050138,56.327916356394624,56.60851043457478,53.21062549220063,52.41798977250045,52.5489603426969,50.06920410706698,47.054922157841965,47.96478869487531,46.83153085410603,43.644352231506396,43.82758306233728,47.50545053262247,45.050656465063824,41.248133877712206,45.4115085567566,48.579614460678435,50.09448715391156,52.7515256993885,52.61912035677961,57.05863801454419,55.94531443504271,52.13396403526768,56.08899291559731,58.46111157624347,55.91640038709562,55.7913609144558,61.48738208767262,61.08122376878049,56.97944005874433,59.62953183492864,64.19136568564741,62.78128489619714,59.61482853348695,55.30068854016811,59.68188370139706,56.025184616597535,54.711264126319065,50.15776121781187,48.75698669157378,44.01628146240474,45.95869540776753,48.08898796884609,51.85728790140828,52.05832885582757,51.790629925639145,47.23265049630262,49.29613407054835,45.026838168997905,42.142690395304896,42.15402390166516,42.146080755866386,38.062755157391734,38.31429819662737,38.03856189479465,34.8652933174887,33.85858801019441,32.31393123069139,31.249939650435202,30.05858818011482,28.60988327544602,27.07238272780796,26.421820043333653],[32.73238486203792,34.26285145113533,37.08944609035877,34.2217513906111,37.77188020042809,31.95609229900653,32.47807190550393,31.709356370261183,27.97131927026711,29.916240374367934,28.018371427864412,28.376627279772286,33.02852472339484,30.71122311596844,32.050401484846894,34.800966574963596,37.11784451516339,39.87438076899558,43.47418951202654,46.324993570746656,49.31635988447929,53.66551330628807,54.63506652992791,55.463622617293154,53.3409035518664,49.03030090620081,47.52594539598929,43.37047024032538,41.79837589507829,39.9475333836406,38.05594802960395,38.41289432799567,38.35471762038618,42.2303394326047,43.19397476378191,43.75389459709346,44.1065675437868,47.51846301462238,49.28617151315203,55.199374196318544,53.833726528341636,52.63248842025821,56.33722048416896,58.40636138885788,60.55790427788113,61.977413666441976,65.24730355100384,63.13298840434855,61.831657338541675,66.23778595984594,65.29986984891347,65.16852550771938,64.30308386284791,59.573785368248124,60.48851079559254,64.20311997940226,61.36794149393058,57.58636935885872,61.43014102115613,63.88732776282095,58.74691897765698,57.40466225993315,53.77945835545818,55.40910206425245,55.82114172800297,52.154737039443084,48.24901955789673,44.359397064457475,42.041583324368105,37.784254559771476,37.795674324986074,37.63740952839739,38.6176894424778,43.536386668315295,42.36378234835589,46.97447799992306,48.79894971165706,49.45422726740677,50.845313207631335,54.08337676331692,52.60061609668802,54.54384137763111,50.99509879235212,54.60641596811596,54.07771580585877,50.02495087133031,50.59300937670355,48.69878904002475,47.847885381663126,46.91823937397942,44.04844265377456,44.02310627108106,40.165364173285354,37.613614158330336,34.754238953729484,31.86833724722701,29.69255962402155,33.0540450390225,31.915541716451692,31.915590896961323,37.17490191930949,38.55020442421121,42.26759401093742,42.691770493323396,48.35336971067638,45.6087927503047,48.26833419651004,50.05898417905747,46.765829971787156,44.14487197104783,40.72191470240805,40.95490317084033,36.5702904434114,38.67744360734842,36.263795110497384,38.48397940837231,39.632128590080505,42.5927593902992,42.599338897513746,39.09878662371984,37.06157947951189,34.74035786252013,36.79206331443985,35.480204834785,33.99509177401069,39.13033945872054,37.889106185842,41.93180037415979,44.639246818867825,48.288588473508455,50.26241149882754,53.240781981562634,55.098769580047254,54.003048564440235,51.97603475035436,47.9592006328065,47.097348193278634,46.21865857101161,45.154377256224016,45.306600602612676,45.83109420416999,49.42551178297151,47.11119813104189,44.98036158621745,47.41161483391008,44.243229478073964,42.3588204849712,39.806136477061735,39.688548187730966,35.499816883195024,36.358359390523624,31.78159783359502,34.01860925357063,29.012477037639023,29.21103942867282,33.2100835245593,33.86239621784142,37.17777386963569,38.20583869482439,41.790098942008335,44.71141607307026,45.183391235724194,47.18055326772829,50.30277757250808,53.581553513345234,52.88049190074052,56.51640669380791,59.42007899166037,58.66357726231184,54.671217387726486,54.45928833959647,50.32641924855316,51.86789256201609,50.1912246712561,48.879419466696135,47.737580983422845,44.57336862437831,48.62405730913159,50.98013478983981,52.22249751925161,53.68703773148437,49.79727889038309,55.33441250507772,58.44370471234808,56.272171462082675,57.6319191463216,56.29263308195049,60.87882813443715,60.404482220694376,62.438653264181916,63.20268763645768,61.275386611654284,61.38554729501241,59.232024894922816,59.27955361931819,59.73866875821411,55.035290643384165,55.37345458053757,52.593060542171685,49.48178013768662,51.3443170583489,47.81441314446605,45.37256251496899,47.62407917027124,47.97274682274242,43.20665219938523,43.31129356075243,45.86646829929314,44.1353983237846,39.70545511408289,41.587655618951004,42.372342682969496,37.960086940537735,37.44579792969938,41.05309796807127,43.01993310410685,45.52990672161334,49.733436666726035,49.150480073231186,50.4481779486671,55.579821629889764,57.54812055324416,60.11368895695247,59.32604139051808,59.232335154772684,61.07285921195015,58.46572148549433,63.31008899283525,63.130417410153846,57.761683355378196,60.06341418015652,64.55275581900146,61.39518728638814,59.13923677178927,62.49151852646765,63.97210587007108,59.96664407451328,58.89359895648398,54.83958791235661,55.22543617177336,57.290438795165315,54.848133807767454,54.92220531239392,55.31034500098793,52.14886678453235,50.924581372362866,50.93989742881198,48.85749371177296,45.66098206592925,46.08858958306296,45.126799414622155,41.973026320215254,41.68366798354734,45.36053199832871,43.02039505710931,38.919929303251465,42.78504862467842,46.07149771040124,47.462675312965,50.411446504361095,50.48495477864066,54.86359209684482,53.36880835091096,49.475221260491395,53.67042064421093,55.7322478996823,52.98839251376335,53.04116073085733,58.74454565944313,57.95790062361049,53.82446391922121,56.74401484340102,61.15848348043649,59.43367394983347,56.23947450004436,51.82333106254767,55.9734186989252,52.15698339496369,50.84452404173987,46.34732742942092,45.28897873850538,40.563293484221866,42.20725415338019,44.57331451411155,48.30538488087215,48.81804297926747,48.80535183153906,44.51967967925444,46.97454247185029,42.818032642571566,39.740088507829356,40.26034682857999,40.31352825931776,36.5907871662394,36.258146581846695,35.69952573937668,32.952320020229564,32.01819961834986,29.706225648252833,29.037516370210213,28.401782848429885,27.3067028037807,26.07155499696336,25.912643438453774],[36.60717825773948,38.01099878153533,40.68855509794436,37.4376441642975,41.05401668647687,35.31586465065687,35.53828076859581,34.94510068347622,30.873984287598546,32.23745916128628,30.152134582551245,30.867142327855973,35.185512942205584,32.41860127507743,33.52848881366511,36.50251902145264,38.676351075058136,41.02882565934753,44.26413401014801,47.385955457761234,50.05310228259308,54.52153638391131,55.22224396103847,56.06663306059743,54.266863695993294,49.92523565345894,48.80208281219639,44.77290525664489,43.31163606851393,41.79206403473423,39.306683499216255,40.31446925058748,40.04930751478999,43.5721355347636,44.788483197091196,45.203755822665165,46.03023542717978,49.164635174557816,51.04099601469528,57.09056176048028,55.4038708368653,53.9067863204415,57.65887632307724,59.72480328477112,61.650489216847305,63.14972894373494,66.36517998971715,64.40507825143109,63.339938878708715,67.84539092260141,66.92089217702157,67.00301288422159,66.04215817060775,61.33988774438231,62.262443147151174,65.70717868758044,62.711843884754295,58.973519097791886,62.72170112923951,65.00602496844745,59.71441310661621,58.143371061925095,54.56393073275866,55.78581584096627,56.43593808247908,53.03157179070238,48.750049501515775,45.075596370906425,42.45623541542015,38.29917743234602,38.05668487611836,37.418359042987376,38.68560271277349,43.57044041596008,42.85941877955278,47.282741866635,49.551765055468636,50.27046174228006,51.966060208047104,55.35218215094196,54.27789632060996,56.42393604635893,53.20963869454014,56.95049562677011,56.28761233498848,52.08112812892456,52.24028735536533,50.486494942420435,49.15489016164255,48.16799442894047,45.0041464318428,44.55889962075175,40.85187283081373,38.646472284913784,36.04648177844508,32.92099022008682,31.031730834605078,34.90961057357578,34.217772908112394,34.767027526202234,39.669647039986174,41.61654284312711,44.96407786107955,45.81550116619765,51.4448714764867,48.81662967990529,51.73983537433089,53.53992306813456,50.31776996904541,47.65856649233302,44.1551779520803,43.9954699365856,39.48541206336,41.20135558948378,38.36726774148315,40.341452853934896,41.15101186626893,43.67046102052155,43.372645696243474,40.1372427193929,38.06225475928237,36.088494277894604,38.253544746616356,37.37034502660935,36.34064890659343,41.63612926430371,40.958194822760646,44.89695415640375,47.789430814528956,51.48508027690263,53.51784702420572,56.6392328412619,58.2330233675543,57.16341061922903,54.91747619708722,50.76407705316158,50.004671541190824,48.7684131753439,47.39648945338231,47.40213269647345,47.46967305373999,50.80419912732429,48.44838662950001,46.607216115783146,49.00351052743534,46.05068078394912,44.32108974946712,42.04807575623164,42.30731708425463,38.29901911495766,39.587073176216116,35.08765295200828,37.583516859416726,32.804931388234415,32.522116049447746,36.363435617802,36.71966679707439,40.266685679992754,40.82809665328509,44.69700813913033,47.286237019162066,47.37026711060398,49.276783825512354,52.35629240674155,55.53534080101224,54.86664991904519,58.693651496635624,61.464182473084925,60.98328392294335,56.95990530253235,56.90500503910498,52.66741017906283,54.19891362537821,52.65845357134948,51.342036516000256,50.422663970997,47.01475444005245,51.26805778262192,53.431555097159055,54.90395814815102,56.202109491761036,52.664541587447495,58.20588902915957,61.2308643542604,58.91947258653452,59.9740046187029,58.33461092763288,62.91628808034842,62.288744193381774,64.64556680101913,65.51568659078286,63.80775685113592,64.07295358914449,62.082409974522285,62.323071496817846,62.94357531430603,58.24924662107738,58.82848937650099,56.16543623694643,53.14007329763053,55.23767299936304,51.784033819182746,49.18196500923215,51.48872948778604,52.0649099597039,47.27464386965172,47.1340687243854,49.917010185254924,48.42604851052728,43.8133048546579,45.654953307566046,46.63069905051681,42.25403147846568,41.49625911211106,45.15842652139742,46.99311903341665,49.745652966207444,53.63941673006842,53.207491186806166,54.67072343308292,59.82369209822636,61.88120202341069,64.43049384764186,63.71554824431394,63.53862532811953,65.38302999372308,62.69361386389514,67.49350923061083,67.32468401723412,61.83751108005621,64.08926277710923,68.54413689620857,65.32061751917637,62.97858821599444,66.25005382695187,67.69453975466658,63.657235868092556,62.40871362831908,58.55336446749854,58.9516006752252,61.17377236717261,58.92476198020545,59.0111420784862,59.57080486027478,56.27546505468379,54.99638660890962,55.248958891570545,53.17203219224914,49.84159511942399,50.36293822128195,49.56821798796747,46.41932133940083,46.0609080452749,49.8587749673346,47.60530486736289,43.451314704968325,47.2754969885585,50.6281895312604,51.91772258810077,54.87728927201837,54.85213203669947,59.23466567672819,57.76523189730437,53.72396457324817,57.87945558968491,59.94955714454334,57.14411528793607,57.04217106002328,62.81329148965599,61.976040505648626,57.691189474975516,60.55242532460213,65.04175137419267,63.232607138189344,59.92657985334016,55.43254050237565,59.50031436287036,55.545796643926145,54.491799527690056,49.88324126798047,49.03080217252751,44.2893736411637,45.62135657499088,47.98493554350623,51.64175922982924,52.17716712170877,52.423991883511704,48.03304466597803,50.48899784610763,46.176598749099654,43.5139600162325,44.09835500983597,44.38608311401452,40.53903005035307,40.067252412624406,39.82484890786096,37.14723376905728,35.790289724096255,33.666737344327466,33.32107832063282,32.60279137820822,31.315470381053256,29.982982381131546,29.78525804920592],[33.66157418884051,35.17551783521265,38.12482684397429,34.94737184986347,38.97025425471197,33.480489196427094,34.11765913939023,33.993399927281544,30.02970302880697,31.670412544801934,30.05315679769816,31.068088051984667,35.1829887074983,32.30055875336839,34.07258869887798,37.0471457892344,38.84045290354714,41.536564075908586,44.65133307817163,47.87641560993852,50.629038559574646,55.12819461322579,55.786132825002525,56.35035240511817,54.47498806788493,50.05893946686793,48.874602264001,44.730342192170255,43.603625602062024,42.211030348068846,40.35509111222639,41.19904070124705,41.409684253412316,45.106794354418874,45.91690029975688,46.057555429967834,46.66683505031256,49.539876302700264,51.13658465361263,57.23050969439985,55.377144369228056,54.22782026550706,58.12512457340601,59.938346533165245,61.82331346990466,63.07084953715187,66.42339569476864,64.62039776111692,63.242808962465524,67.75447364203711,67.11630253407215,67.18085463795147,66.45615502647799,61.623098812527196,62.93246825672232,66.4389964182621,63.31925196253798,59.810353757021836,63.76204054938904,65.84682829183369,60.58120531585618,59.36438500131043,55.91321831176141,57.1343971676229,57.43821316286916,53.970289728150526,49.681657095590346,46.03342505681771,43.22117272383738,39.17093706858108,38.751167707694734,38.38000439206979,39.92640884083319,44.8086508668637,44.18202489109935,48.98719663226695,50.911412922090044,51.93405265628966,53.33135622479858,56.49089260080952,55.257455195684024,57.06295100457481,53.80056022076378,57.30671550686506,56.43087393904369,52.432068363411084,52.83716883698978,51.376859858634155,50.14134008404902,49.63875150714182,46.46631538388281,46.39740720219727,42.609963246906986,40.3476771032726,37.333584309290174,34.49021105975507,32.11132748194326,36.0632005122551,35.01997573095003,35.57410997457501,40.45039400548324,41.93433067493813,45.356442347604926,45.71889789854292,51.13381021324008,48.15726022263062,50.99922818562198,52.483768765410545,49.0072423634953,46.65355621502057,42.89969824383832,43.015624818936026,38.51820083836034,40.24882664875633,37.751527652103,39.541087909299705,40.72275834030329,43.12835358351951,43.28165342218704,40.21209596377544,37.856240796684396,35.676374482194184,37.3434422479342,36.31422964480656,35.11094154896668,40.30164085186236,39.45128201283994,43.573083573669514,46.43684979323629,50.40898037434758,51.98278525839409,55.26798640374783,56.90709909688745,56.18057697287766,53.67474238112631,49.64311052660152,48.39289949024601,47.37724238718489,46.01668579533526,46.367257399390844,46.32386704877482,49.883860365034295,47.85363882159809,45.95831185312965,48.62070367526639,45.8468164313994,43.86258707965374,41.719257938436236,41.850125840099636,37.7632325141576,38.999688625235336,34.695994205462306,37.44943288971347,32.729981801267364,32.893578344108924,36.66247195766768,36.87617896948092,40.163224536676346,40.9201963145475,44.32442329018469,46.74293414229463,47.230295507944994,48.69145534432457,52.07606009415532,54.94057356521323,53.84510565067919,57.74936052872303,60.35855935311453,59.69975323130455,55.63641957095982,55.746378430458684,51.62082583424408,53.526944067338356,52.174844524934855,51.143705392454365,50.35795303369406,47.21474406557707,51.60399628807362,53.57392646326,54.88516403283106,55.90304448768287,52.10844665819632,57.5233899357343,60.473033326181344,58.08348913663693,59.5012287966822,58.046409213164914,62.585730802296894,61.66359029508871,63.90536462016996,64.53359363285419,62.87583277029528,62.8625193125876,60.74627081276707,60.891506918436065,61.29737931485422,56.506442725065156,57.10147242007422,54.22898691963942,51.43548272940244,53.372610210667425,50.122768617868495,47.413735817352524,49.35812330552321,50.028852252722956,45.28100081627776,44.726809454772926,47.50458380054307,46.28989069523344,41.424873942523575,43.006722497196314,44.047025068031374,39.79891160759338,38.675420142999656,42.196314746768266,44.02362816319948,46.878712440298905,50.603801078676575,50.44555052383498,51.96716326101027,57.19858432872176,59.18902172419977,61.886739357962064,61.47154250954566,61.411439725414894,63.46736470149544,60.97573241181873,65.73388386775738,65.29024252167349,59.80892147780293,62.286300758603254,66.55207698347935,63.138799666021306,60.95739180808847,64.36415183047107,65.47345508353557,61.33335926459709,60.41064879135983,56.4829328029189,57.32266604081504,59.56266227989616,57.28479733128784,57.680278530853435,58.311628420700444,55.22105548849146,53.62511608366113,53.77933881089098,52.018097404939276,48.57921652033494,48.72649226140364,48.06705282510685,44.97345126944217,44.257820940172046,48.01940265761007,45.87670421951137,41.53782100052465,45.090500410042274,48.50531150547979,49.685616754121945,52.847182510362884,52.981031420761006,57.288818512473405,55.53368880615163,51.45708224765413,55.77139212182391,57.58766134444192,54.64482302121194,54.685878504796364,60.428076968691215,59.299014245911145,55.01669349566965,58.07642239610334,62.42511236243792,60.37905282076516,57.0701786933378,52.521285571160824,56.38324875662241,52.326435833701126,51.27369486528551,46.74189906064598,46.16875104588085,41.48164054618322,42.56271253501996,45.09886546791692,48.701393179579284,49.48304518228809,49.92395467121266,45.78710213302684,48.5320264671223,44.35123559427396,41.54730315640402,42.51819612183905,42.842185010249175,39.317811789699014,38.407934753027504,37.94339328782909,35.63012367956848,34.35654658909783,31.67007986747511,31.63532912547357,31.34632041087236,30.348444123063544,29.270531765368247,29.43334248447967],[32.263133641080515,34.04645714366673,37.43978236116643,34.60269365549492,39.01459501912432,33.80965039073291,34.97658739360767,35.17275485579972,31.499790553193755,33.53914429369833,32.33202614406599,33.39798288495049,37.457047073138895,34.65740247208401,36.88939923968489,39.77859914779854,41.360051252360506,44.350040116401246,47.43618288028328,50.66245562441729,53.51684245652656,57.99715439354236,58.66853827627904,59.03588934227759,57.06540276852868,52.622139098732056,51.329990039140945,47.101677131651996,46.184189121380214,44.78983370042757,43.46365798096654,44.02566430457613,44.52849278162409,48.3984490465038,48.94140469446734,48.979768580417236,49.32288962487169,52.107237927137,53.48233286124936,59.540655823996715,57.66529036955523,56.82925288637718,60.796547148442855,62.434750523325576,64.32958392012573,65.37331679928865,68.82519906052413,67.11183969294706,65.46339114943306,69.94075584206793,69.50439468789656,69.49850493594775,68.95903955304273,64.04869807688358,65.59170747316786,69.20402943896993,66.05896184910956,62.687570149918955,66.76897618344564,68.77572763852507,63.57298455358128,62.61080884761638,59.22776360786962,60.52218152136781,60.58725400628919,57.04416265168614,52.83367580723896,49.18019246747328,46.31479516189403,42.337734336599,41.84751488111833,41.6912198081949,43.36176296339125,48.22348620356748,47.57728889181043,52.59058801653847,54.252634972735024,55.40477162988353,56.58119527694557,59.57668553530225,58.144364033498796,59.689643786462135,56.295081107226764,59.601276324548884,58.64494008685796,54.847259615800084,55.52635894183607,54.19527745999124,53.15682712577015,52.914270341066825,49.82672172753528,50.02305251210751,46.17995775569011,43.815809215605135,40.565626933439745,37.927356016159735,35.26745584360861,39.067135015849274,37.70238197904056,37.99879193068083,42.99916931173657,43.95956011691692,47.58307570561941,47.448616851942795,52.707216370513265,49.444671163068605,52.066738786228846,53.29127870841344,49.58160635426689,47.52137758689716,43.63281777132386,44.17004058498826,39.77752123054931,41.65069487235615,39.57835462533338,41.26923675345487,42.81310204539994,45.19063567500876,45.739744555729246,42.770765043418784,40.238098761784975,37.86225046866944,39.088838379729985,37.853095704789716,36.38838039490233,41.37917163525774,40.16602161293068,44.4614257123822,47.19716683098085,51.36007642107939,52.49237674465311,55.837136304220955,57.6371489214443,57.193934303584776,54.57804734847837,50.7296536817252,49.002478433632746,48.33064826188826,47.08534261347074,47.77988619070914,47.7477211408812,51.53371441041276,49.797028954669955,47.811627792942645,50.67443713776692,47.998222027855725,45.7972937178609,43.68299246396897,43.58856866072701,39.41046808042732,40.4023127577986,36.24026783415177,38.968334168075195,34.17463746218266,34.889512555089034,38.67626934682543,38.96126185835683,41.949713168929,43.03416400734839,45.986103344051664,48.39826234510138,49.30737264229549,50.45858483471498,54.067429968924316,56.70561547738356,55.253637291187914,59.152665361416446,61.64704095550488,60.755533771566995,56.68415123965477,56.893326555052504,52.91995365682962,55.12738163532361,53.88127338694909,53.06310535962756,52.28449587028638,49.42517003060174,53.78780141091275,55.71137175038246,56.82023768886425,57.708436083089595,53.605862702106336,58.89649612171923,61.80929945466217,59.42148253215334,61.22399655525993,60.006946124811044,64.49786226870198,63.39275137662897,65.44359639833827,65.8357759177921,64.15591065816213,63.84902021023209,61.56873182603342,61.54804692720123,61.6798968456102,56.81346991176044,57.30139515576334,54.168231871171855,51.56998812875085,53.18296325631078,50.09582551224335,47.41454970355814,48.92993566512232,49.52102513179636,44.86934548394638,44.03606069766755,46.60758855387091,45.495373105678254,40.542141860287046,41.80491031495601,42.71458840212571,38.63035133495553,37.25804897896855,40.45712555101788,42.42348367338453,45.1340326580721,48.940418166484,49.0548288543937,50.46758554574196,55.771231197742296,57.52046908208354,60.46529933005034,60.35396716020466,60.5369772715886,62.81331588743267,60.61659799480417,65.35762158035357,64.62241644272216,59.27587688802515,62.01704328161434,66.10085361535668,62.545585780256445,60.608882349535435,64.19591884659827,64.96887422007813,60.748622299081475,60.28974949804921,56.18525907466461,57.457064872011074,59.59770621774175,57.15404213558714,57.81372632054943,58.33932674867361,55.556684742310765,53.759651277753186,53.601853265933116,52.10737721068014,48.740780448384825,48.46327763289419,47.73995718339216,44.71230228709339,43.74558245526959,47.279077291138805,45.12053041650969,40.70359808130274,43.9678500635612,47.32092160474708,48.53491197434673,51.91483056698554,52.35512466334114,56.55702488397792,54.444615926800026,50.524034911460525,55.04592228191332,56.544128125523315,53.50113147142311,53.86531813264342,59.49031584168615,58.0338574749574,53.901180633219354,57.24486126091674,61.344779298763854,59.05194454884335,55.833466174080186,51.27951686685592,54.88018453841013,50.768965174003334,49.539635135457274,45.232839491038824,44.93005176616694,40.35807790143801,41.281692414146335,44.05250997442952,47.60329845171614,48.69620933883295,49.227626240572114,45.47561540746395,48.51535419012367,44.5802057659369,41.412558423298925,42.71634658143131,42.894437721685826,39.785104448623656,38.58706048488526,37.66070555058719,35.67087194784814,34.82021029255886,31.47833456832811,31.479616972282077,31.67185881111367,31.081148063515652,30.28120832494507,30.68740554846692],[30.021300709572852,31.61275083418054,34.900683375957826,31.787337486728784,36.45482760352564,31.610052709799973,32.852759256908946,33.61104187445923,29.884094060333922,31.748072307780866,30.93399983207056,32.502775091650996,36.03128984737156,32.93949599252221,35.67237858109184,38.61205401384208,39.693005507852185,42.787778359128005,45.549265354742296,48.94825898569024,51.72048862102041,56.233140309638664,56.75052039131393,56.84521884652231,54.941247011357966,50.46052523934426,49.285131957130965,45.05838598323116,44.5420566463604,43.47847342237155,42.539403573259285,43.27123331402985,44.19584683789942,48.01062810812326,48.211300834656896,47.85935224843995,48.22762626790515,50.54019556864801,51.671186552602066,57.79032836919097,55.59576002274309,54.96955479447974,59.06966371233378,60.438722227007084,62.181108581913364,63.015097611161764,66.55189720834207,65.06629675704454,63.23799329020827,67.74333461102185,67.59586995684057,67.68744467200375,67.33874441282279,62.339216023995775,64.28848068780583,67.79015536350003,64.44989498335376,61.3736293702225,65.60040420717831,67.28634473778351,62.07981761719379,61.40942272913601,58.21856566048026,59.331225009641656,59.11303332966263,55.6449786350806,51.319690919464485,47.82587373099765,44.68705827436166,40.92600381817184,40.17554243511942,40.14833002919878,42.160967439332374,46.93074293788263,46.55126361290642,51.8550781003072,53.290899383245375,54.81322614073418,55.77894623043082,58.562322172407974,57.188924248847485,58.46068293823178,55.25829370743737,58.36247109959703,57.0978035040572,53.45978811351517,54.157098423739384,53.24488161571577,52.05684216168229,52.343911480244905,49.13012330086571,49.57075465335336,45.75321628953988,43.52741271522522,39.98430086749244,37.60331523103303,34.59876205808396,38.68413857142841,37.23399823572498,37.954610327272576,42.54643314034943,43.41921002348323,46.76975086140132,46.44589724275865,51.38898526441469,47.907693497201166,50.66246322431289,51.58327298073028,47.74888711103049,45.951182631556144,41.8099056017705,42.26119332149023,37.85645168673637,39.44225693249148,37.46998118557355,38.825798784253514,40.523012717200395,42.58091686717162,43.41082374827925,40.7538790558158,37.984210737122844,35.60841623120219,36.40058203770466,35.259804942334114,33.92249563174672,38.82355035688042,37.87458913185876,42.18250002791254,45.00210772065588,49.401821371030536,50.17839670283762,53.75399558133686,55.355310077511525,55.23790028145457,52.24357777264149,48.438077462249915,46.38656971202853,45.66150604476819,44.2591266935496,45.153062387745145,44.80244029384568,48.619427322796994,47.17148372681998,45.295964582667224,48.34818903023,45.986441973430104,43.65488791096954,41.8583780611487,41.88140682408277,37.8258324502078,39.08410744547303,35.27017640232956,38.47258461227811,34.09917117452176,34.80487578929434,38.28005884943721,38.14884996545644,40.98934359142138,41.901889270314115,44.53715980859314,46.5091865943861,47.55622910463996,48.21006435183257,52.04462252041548,54.30457757994394,52.505836758579264,56.542621660233024,58.80753213450875,57.92905668751223,53.83595704466871,54.27517576831252,50.37284727590624,52.88784800910161,51.91664125397892,51.38476995337128,50.907720421925724,48.189036445080276,52.79888424207622,54.35164264249414,55.44404651700488,55.91958985907289,51.8540749684641,56.97859030723739,59.736706642750526,57.196218546091586,59.12352896548402,57.91398888229265,62.32818392229214,60.870776904508915,62.98350636381493,63.22570867629063,61.73238354472522,61.29420431793953,59.03728975554385,59.08085248004262,59.16999772621319,54.26910370123152,54.974225271449605,51.81949710592248,49.49850714446909,51.23277573886111,48.41589481025893,45.4928185123695,46.802149668955124,47.7361840979443,43.12662652243251,41.74596545552752,44.582189334766525,43.9959233599164,38.68374618487752,39.76754825587507,41.01752201505951,37.09457169579162,35.22299466305296,38.47764077763042,40.17586646855346,43.31485212569921,46.516420981113896,46.897202281054035,48.60054789343694,53.91570896794765,55.85013660281429,58.742994605321094,58.86869067251956,58.948793930075254,61.34548872681246,59.16726737782866,63.78677503078585,62.88580413437368,57.40269370918886,60.215990366788525,64.105196241124,60.36746062961518,58.439822015713304,62.0119476830088,62.52643442595993,58.231484268789885,57.80329114990364,53.87362416765105,55.469894558948845,57.7827452620256,55.570140895523984,56.500371629614904,57.34026618258648,54.57042032670778,52.417879643370675,52.52664636155942,51.34221720505789,47.69252575976377,47.24066716162459,46.928820119327476,43.98985397183514,42.62622754702605,46.34180837505771,44.49623910508321,39.887863710895815,42.877767538845085,46.39590588197175,47.28975631111703,50.751327530899445,51.08498049975284,55.21469496200559,53.01838851915603,48.83720259761325,53.34386711206827,54.71742757355831,51.54052897430941,51.73893811485518,57.408662549803445,55.77642259249357,51.46074503576619,54.79798285352514,58.906136248956216,56.441421293681366,53.10299661843626,48.47093561900382,51.91517698546743,47.661287973131614,46.74280812761687,42.33360599670176,42.34188993245735,37.81715813549192,38.30087485132114,41.09772429699278,44.52677102134501,45.7320615026827,46.61196853607541,42.93505850812571,46.14368966044751,42.205289644528065,39.37473067568593,41.03033954112862,41.51910746390623,38.5844934697577,36.86521345634615,36.17280453340663,34.603356417405934,33.32504034333776,29.8409305940047,30.52689001950889,30.96273787717269,30.410558397388378,29.79051114289853,30.58569726627692],[28.23855277685021,30.150062186979163,33.92361923248044,31.347759328481747,36.292129623140674,31.776434434293837,33.583250773579884,34.52732680532996,31.24847561990201,33.59180969654737,33.150110499398515,34.577347726339674,38.13841141249534,35.32453112270019,38.374397633513375,41.14105218633333,42.13227692455805,45.52417800118677,48.37376680959532,51.6465458150488,54.57871942748074,59.007341836370074,59.62766077987906,59.588085889016746,57.51671424317361,53.06136502670103,51.686522649376954,47.39499453111844,46.98142701784535,45.80079782119195,45.40867177392233,45.718475674473034,46.86934544491209,50.88467810024865,50.84782701462628,50.50113819896806,50.51811159532496,52.8664823957499,53.797178467294785,59.794624422736945,57.72290265867362,57.42385122685517,61.52590133083636,62.77166218537643,64.59354093596373,65.2499108980889,68.86043708087223,67.3889178538109,65.29108391275783,69.70778394657623,69.6994935307982,69.66090194488969,69.47665013975055,64.44125889349158,66.52982753917514,70.19063212950714,66.91313525736068,63.923269970259746,68.24520724932825,69.9431731960601,64.85811793391181,64.42813385943693,61.27107411089216,62.56847903584691,62.132165487479924,58.54062074225388,54.42282437811792,50.87287560959527,47.83560681927242,44.11227448237198,43.41907735893153,43.66599432575334,45.628926796887704,50.36957795502636,49.8193729743018,55.2610698971304,56.39456712953057,57.946412262981255,58.67614692451483,61.29562802807894,59.65159208034893,60.67354444903923,57.27175132578779,60.16888482248665,58.91332993575857,55.50033484759999,56.53221990353387,55.6492546902954,54.776639298799836,55.22101253410206,52.18937869586501,52.91089727655551,49.03328301065098,46.639412716763545,42.92180468782089,40.7465239937612,37.54494364703974,41.29383864365282,39.50813154611156,39.825147256504884,44.58954147405872,44.874479487605896,48.48050389186023,47.63583540737489,52.42659890998161,48.71092011389779,51.15544406956814,51.850753640941164,47.82386211217909,46.30993556198001,42.13814053494638,43.09307319222629,38.887140874130395,40.7149605706927,39.25966378772573,40.61179870558444,42.674636397928936,44.84362057464293,46.04749614564177,43.39468839617136,40.55852596851257,37.962247008066484,38.38091917097917,36.947911260939755,35.25861558337948,39.84841126010794,38.387958342594196,42.8238807125887,45.42720654213425,49.924360497706054,50.294267857947155,53.834689145355746,55.66861966645891,55.777634678605814,52.80351122661419,49.23881913908269,46.7632310507867,46.477803382151194,45.30447041802747,46.51622914012184,46.346935386802656,50.40549268664288,49.207469271897324,47.17663804088743,50.359279914469944,48.01060994623328,45.49078539232651,43.631425636350095,43.34149617985981,39.2060320070825,40.084912142286406,36.41148514593486,39.4267588900823,34.974511406006,36.260484870209005,39.76289917922347,39.81060824174867,42.305124464143425,43.627725858481334,45.79008418401226,47.86792256856524,49.36596264465621,49.82068071310278,53.80305980464166,55.91444027230376,53.840372015027015,57.768194410740925,59.974927737170134,58.8088379795588,54.75157153784092,55.20895093358566,51.50457872328604,54.23842470964533,53.303332991040605,52.935709086882795,52.37747268565742,49.98316773003691,54.44638918096911,56.03696547175264,56.88232600094265,57.328283648343,52.922697210707874,57.90642976927404,60.65009457648695,58.183839420365906,60.515844937112746,59.60949257542793,63.96347893721919,62.43624098201874,64.26591384598287,64.28052680170951,62.688790891812026,61.95885056422497,59.51539554227113,59.34224762655576,59.13128039744626,54.19240067241141,54.700186470085065,51.28380182128532,49.123360946396744,50.45335623371133,47.77840635118248,44.9731873250247,45.84498711466205,46.60472506085158,42.138767721582354,40.595022583982974,43.112438571004034,42.53923929225016,37.261134865429696,38.022804944761205,39.055510940404936,35.3272215789986,33.299875753545976,36.16375855526175,38.0516723894929,40.91893174734757,44.30825451063863,44.91096702910524,46.43028127485729,51.7856222198725,53.43066637245127,56.572453144314316,56.962498280754154,57.3107099350209,59.90249294872324,58.04245396275185,62.6413310310369,61.47143565926049,56.191942230337986,59.252770601482105,62.970003371358494,59.14588036609139,57.490943739239086,61.24357906847984,61.46036975778167,57.12156491699379,57.19780677409902,53.04887721430804,55.02512474546651,57.16615221831574,54.73842810567403,55.892534612208,56.55724860983042,54.13536201869624,51.848395632034645,51.57417444758459,50.634909490910154,47.14235745680631,46.26972084918535,45.830510623965644,42.98118609950169,41.4236609678567,44.83289592231723,42.95404551035709,38.3424835365435,41.02639909044607,44.42779154999679,45.38887692568763,49.03665026541499,49.70400568030315,53.70303904159595,51.16623519974248,47.222870027913814,51.91833219543043,52.973447731607685,49.73796750287249,50.314661830362,55.81506366878499,53.89014739347103,49.80131223787665,53.423055763680935,57.24195880655886,54.575968518479165,51.38610546931924,46.801739360791515,49.99791448718417,45.759258631190406,44.55958783631395,40.452903373004276,40.66320650989555,36.30144169481198,36.73680025871969,39.75409190657176,43.13350641835559,44.63010539506272,45.493333887263304,42.26199704452949,45.720695894538345,42.108101850192924,38.80642229308429,40.73094042749128,40.9849615878635,38.52051479604785,36.617151808834166,35.367915565787214,34.11144924991982,33.4139318470988,29.30299928751551,29.878812120172828,30.81375976320917,30.695085086311433,30.396977211030936,31.372701299812764],[29.424629138503516,30.959751947555734,34.3902680117711,31.32526821353078,36.44653734489811,32.402727265022804,34.026383171366,35.558921441302346,32.065669838427944,33.86248017655651,33.66690034407574,35.70984747096012,38.58799175072072,35.28492529083694,38.63854528806143,41.54833309993564,41.98585461875869,45.226795725986236,47.53347376717641,51.10674302986568,53.75796648430652,58.262399315117285,58.57076126428663,58.26002972897343,56.455554245982654,51.96969436628253,50.93920111374727,46.751891869001376,46.79564808607902,46.12050916975504,45.76614471884493,46.57757201878393,47.988655903727796,51.753508853149505,51.53919555641882,50.75422033523906,51.056557890718864,52.79193541111971,53.54449897016843,59.65149460099479,57.08748515269802,56.830230806680824,61.07345770774136,62.04318451555195,63.569578496195334,64.05258153053393,67.7012328763881,66.56041766478432,64.42865114358713,68.91637616489535,69.2059990512007,69.38803630004597,69.33815154974859,64.2488771017956,66.72923243992724,70.11805362835028,66.56711167370861,63.89969029314134,68.29360153707346,69.57648649557827,64.41915586615438,64.14828686679138,61.21771296417587,62.10732193468705,61.52539352714331,58.17141262123482,53.75531527228773,50.50079306088151,47.051787407140786,43.62823578421724,42.54878429432013,42.66582123735444,45.10135296805005,49.69294554701176,49.6528862822348,55.239509027528065,56.390436992187325,58.32065527271983,59.013021567959825,61.50335558662714,60.147233001641816,61.02104166134817,58.0014999972912,60.77508100291992,59.15506102669703,55.81848366885273,56.63016356833878,56.22387274950964,54.949293632669345,55.85695248987767,52.56430855254048,53.290029290216744,49.533777272875845,47.45650552928591,43.629389845569236,41.57621598570425,38.235680289653175,42.47698655022919,40.86467627391929,41.841022822117125,46.0461350102713,46.58566542453277,49.722579737683105,48.96974332967942,53.435970551621274,49.61480122885559,52.3338637292858,52.756686346508054,48.693474974109,47.4018918222968,42.98738180962842,43.59400475227577,39.340085195612154,40.63344075488767,39.03383645173487,39.89770059105518,41.89350497354853,43.446738493811274,44.766124254268846,42.603550962281,39.536253666632156,37.1685117249078,37.20592107906993,36.146630903017844,34.8875065267519,39.43090778247428,38.60947828059821,42.93428826849274,45.713350105153545,50.42622251599356,50.49653649537925,54.32312802522932,55.78152075685317,56.219235668162476,52.76139833416679,49.176854775778416,46.46947704817304,45.905623279785274,44.39082548527815,45.71335007786141,44.93798899297925,48.82732058035921,47.9188082612483,46.19006647763339,49.52168649409365,47.62716656430831,45.08996970571559,43.71524743430759,43.762317325374106,39.88395447246685,41.257014172820824,37.95878157537682,41.5093960695619,37.5577827440833,38.52116462084672,41.666079614542596,41.188687188354386,43.68171145618221,44.56669369022012,46.603347523375334,48.05922702614206,49.44637522140759,49.36351413268864,53.517441409337316,55.18251970510225,52.78596366081957,56.950672666104964,58.82906278779435,57.85219869567692,53.77573410871267,54.56304484038259,50.88749365063709,53.90407409171453,53.32387613241768,53.22847581803572,53.086882183163986,50.689126901766386,55.47865812756245,56.60779718206283,57.571810485344855,57.526433155203534,53.39081643022187,58.19415719698833,60.72382773535277,58.03472355407528,60.29360599221727,59.219280356667745,63.4747742778935,61.507623081061126,63.58484659125168,63.5092451234856,62.25172764502566,61.48331683997789,59.178817094655734,59.19272711520356,59.041899053892536,54.111526006781695,54.98837867394602,51.66121490939328,49.838799845239784,51.43659554877864,49.0830332757142,45.97309146687656,46.6944065149023,47.92691654527024,43.53160384448242,41.339962514777966,44.241754689009625,44.327048470328,38.6806760089477,39.253338701097306,40.73134508889527,37.23477095597872,34.64626155249609,37.55207299599017,39.03135570338184,42.44949015141202,44.96274796812688,45.91736904338006,47.819272028434746,53.13405199735006,55.016624184919245,58.048399193135104,58.697195319177915,58.87811087121703,61.56040470688952,59.664293956961274,64.09123928242103,62.78681671810754,57.331200869708674,60.39924079713151,63.888632403229444,59.870443334751144,58.17330687042687,61.82845200851972,61.772282362554144,57.37139910860314,57.354313997672314,53.54456457589678,55.815586265414,58.2133809463582,56.15034911545745,57.547154826009624,58.61147007039826,56.11534519566372,53.49235878536434,53.63328760223933,52.96804711698607,49.154611784355495,48.2200945146265,48.26764813339773,45.52003134838036,43.60605476713082,47.23816106175549,45.71668855220929,40.96662188130743,43.37024220342513,46.9270203205806,47.51290812096773,51.18686451111173,51.66350424893977,55.56895460461197,53.013223311274714,48.75884598866637,53.35418170409414,54.30055643706368,50.93236155387554,51.223441330108685,56.764679714324885,54.65941047861068,50.32429790114536,53.857036294590124,57.705825925662324,54.83830556808347,51.48013967116648,46.81374588449581,49.75594166027079,45.3193721218402,44.64576961833909,40.41392823474611,41.07860891125935,36.82953803116724,36.58962775285053,39.57305400796628,42.72144041132157,44.33013700020744,45.71174928685964,42.51474883006906,46.08594736649256,42.40503502935514,39.75669214256275,42.00457386770908,42.69882873066696,40.30706178586566,37.89241389079127,37.12019981910537,36.268102993558855,34.901615387246395,30.94660177767101,32.30702710766832,33.3106572104127,33.04512005413185,32.792034037878196,34.01157522250772],[26.237580641230604,27.618407737585347,30.95288051352958,27.80633829175848,33.04777322459471,29.297188984242926,31.064398756329354,32.93498889243565,29.613520852696904,31.45431794169084,31.627051833088288,33.841317733308514,36.39283514515755,33.136642239974144,36.846125477800456,39.64352513576362,39.78966100300965,43.206287207346776,45.42399293428836,48.9467478491046,51.65240299740348,56.08358916321922,56.411602962699284,55.937042071540276,54.045394684541584,49.59246535447459,48.48500363452785,44.29519530273162,44.55640706237547,43.98304230014571,44.110653683986186,44.7827049137477,46.52064870729604,50.318096801619646,49.79582414856848,48.823163016003704,48.962051591980746,50.47332897939292,51.0188802843295,57.057612894059304,54.438653693945945,54.43333967597165,58.704712348852475,59.502001259772804,61.01443251373982,61.332740233077836,65.0338669083643,63.974122823099215,61.652611649776695,66.08776357553822,66.54373994676195,66.7026092474806,66.81119190415802,61.69160638850674,64.40252225187825,67.80439154833701,64.2198834833968,61.735396681215846,66.22348189943658,67.37266815562049,62.30837917692616,62.309424532935765,59.50124085655008,60.440026844893374,59.594763571665084,56.207447303244024,51.92123198955838,48.713329273897706,45.26818059542946,41.988195523733516,40.872632601728455,41.27591305757641,43.75121770926447,48.23701770035278,48.166689422875585,53.93801115358631,54.761819046279946,56.875089176439666,57.31366150955095,59.592328056614136,58.132662338777834,58.749160664274285,55.76156962625698,58.33429423878925,56.57624320179773,53.428564894974855,54.39578917841923,54.21090881995111,53.03457613668112,54.288469871567536,51.06556402566728,52.091638820887795,48.34253144888709,46.257261133421686,42.21813888020139,40.45551522410935,36.868136603160515,41.02225720828469,39.23572829291914,40.3088152417497,44.2604247936278,44.545134982760224,47.56420008337828,46.55234455575027,50.76063384983287,46.79676394863372,49.49360355368814,49.70616113031231,45.57865780411003,44.489209202420994,39.97412012620247,40.64208641979426,36.48753703302864,37.700966374377586,36.36625829647693,37.07955854603816,39.29275366965742,40.791974939461355,42.42186948716421,40.37784828305763,37.223159937465624,34.74920097209396,34.43074034194356,33.27308875711249,31.93430977920598,36.27587777975217,35.44087453893997,39.76110396436545,42.505077754415105,47.31321662726215,47.133828981067005,51.04332127511578,52.44376305602948,53.07609770898422,49.46818356382592,45.98736733994812,43.06430300963251,42.592958201585546,41.09891340116588,42.60020457725109,41.80169646966913,45.8103105747512,45.10518985128488,43.333358803444725,46.77322633820132,45.01586275383767,42.36046312874149,41.11477814159963,41.1011950316366,37.310045672674114,38.70211468980968,35.703311623256816,39.443988722123194,35.827439881418044,36.90816109597564,39.793298195764095,39.124440179475975,41.38630215116093,42.29417112769806,43.979806173438135,45.23210411969952,46.83951479555226,46.46132814470179,50.73977873475661,52.19033202515292,49.58005363807153,53.728281870711974,55.51129468493058,54.44250151451126,50.38706565834158,51.251087531773805,47.67994309243026,50.876172409747845,50.43165229477833,50.52787247145984,50.51071207295908,48.31956995779248,53.148019139780466,54.08721932184601,54.95264370759168,54.695670632283445,50.498106903234984,55.15436115944453,57.59757204009417,54.87829846077515,57.30830873081458,56.35645604348304,60.53793672295818,58.43799715200724,60.417018262203264,60.212550990196156,58.99666339671474,58.09631979064803,55.75993489484415,55.75413222581546,55.53640141671844,50.60019410069413,51.538406701565094,48.19226053314494,46.53406228055933,48.15583905254056,45.97881392117134,42.76834589029561,43.349821894091896,44.76025824112044,40.433613549637066,37.9534054287519,40.98186817261511,41.37574282600574,35.5773270393563,36.055716269978035,37.746745414868,34.38167444815989,31.517919489823832,34.489637558079615,35.76492198916356,39.44724767996635,41.57986301724283,42.62126629411539,44.69663597781533,49.97490199383248,52.00249359138043,54.94672482062828,55.68863964406438,55.777887016664046,58.49584406554155,56.60768038748578,60.944669890308965,59.566739460501736,54.05336020406639,57.143019267134804,60.51931936049748,56.429434650956566,54.743199507220545,58.38030562033353,58.201015262999555,53.78368980995545,53.79616743724731,50.068264245246795,52.51061685813252,54.97152613251773,53.04086034200585,54.591678582184386,55.83207819640583,53.3764351271018,50.55255053695742,50.8421907929206,50.38265066512519,46.43779015356454,45.38909867308322,45.70285008136814,43.049112330259604,40.89811588565664,44.61921512284416,43.33177503485005,38.51987044992154,40.729940326210695,44.366441527126625,44.72711183639609,48.397203314792336,48.777525297102834,52.619798856752325,50.0630455426373,45.661997858217546,50.20195614646058,51.09860751006234,47.68509773968491,47.855666352801656,53.402665561999505,51.25427138499465,46.82711780775718,50.319871784916664,54.181070812784945,51.27634209470181,47.85964987085721,43.17173797895465,46.08534647288342,41.612742814835386,41.10099831990707,36.79121093484536,37.56414362469335,33.361038325096764,32.91646512938137,35.8821018859482,38.97508706394688,40.61433184038135,42.13172051575167,39.0087528876275,42.654261855656685,39.04202915724898,36.56037793888121,38.99960140832247,39.853157041521456,37.64447544575436,34.94087768353857,34.28419423759109,33.73187032393594,32.16953263251696,28.1048705416393,29.87637152943551,31.041664744468118,30.89145961433704,30.78612458521594,32.2183369351342],[21.574992701859866,23.12233189317953,26.722102913575753,24.00261591668053,29.279458068971163,25.527887948172477,27.714600152617574,29.52821375136821,26.653111415330578,29.059727039465187,29.506214347417618,31.408685277962565,34.124627671399296,31.362321924283023,35.25323500883461,37.78319328594097,38.03767725347361,41.79889906009036,44.36378240755061,47.56757048038451,50.572222291473246,54.84611356380662,55.45449891063401,55.00586908722268,52.792534498878624,48.41213159415606,46.91615398715299,42.64128420569721,42.780722405934405,41.901142432169515,42.59961069292188,42.67408076742323,44.60120267257343,48.64531249572623,47.89256705532123,47.057383150047215,46.74816915252946,48.49990840456086,48.9358281373562,54.79065549008027,52.5252858224267,52.803933860608765,56.98853118082218,57.805295601988014,59.554780198968544,59.818437380863564,63.546854767838866,62.30667834943635,59.775580487419155,64.08827453634144,64.50298480283915,64.44202298768853,64.63310738340806,59.51868601128753,62.191874044490206,65.83633055102742,62.439153848047,59.91211419383892,64.4542397058092,65.78331695768958,60.89483889267064,61.0889957330623,58.24498127450813,59.57353638228553,58.53590685155174,54.91715422369499,51.03829486436622,47.645016507257814,44.55013330294793,41.20012812283894,40.365770151489926,41.20144457007205,43.33194241665547,47.806422787045534,47.28676885422296,53.14596288778607,53.57318720028341,55.59327800920065,55.757670725415615,57.885611897733334,56.05651830240398,56.47532619003756,53.1980929637818,55.61629347274831,53.99577672784996,51.027588998403274,52.38281344461454,52.06961718822039,51.35469928742891,52.64432807539848,49.72315767950502,51.10178114353946,47.26758096138501,44.91643041335978,40.716043936290006,39.207310960167355,35.44227778390024,39.069093489868855,36.91442044792269,37.54081600071565,41.64935368203931,41.36811942585471,44.65366826452987,43.20266665806257,47.35626374416629,43.27346923745729,45.69167914315947,45.85077894090453,41.63898002319256,40.64266140906798,36.189726839409914,37.28754424087392,33.310478233540195,34.911377276455134,34.07248338870456,35.02738206583262,37.58291427730375,39.55940721465961,41.46105246356559,39.14345534774546,36.089030225529534,33.28996933473155,32.85843658336142,31.224688246722085,29.37822525990288,33.478830981156825,32.00870002814971,36.440563021950744,38.97350580681258,43.744457761457994,43.467439453252105,47.23731095785899,48.91101795233306,49.529478957876435,46.14535983124696,42.824215316535664,39.7728677870886,39.710139277713736,38.57349233458504,40.23380369547149,39.974435669896835,44.23909480511573,43.54946525103115,41.47316032509397,44.909802247857314,42.93635151375616,40.14428422298397,38.634510201744824,38.235256379361374,34.32180564572516,35.282989532738384,32.354404190536876,35.87810531332383,32.27005328608836,33.802763942229305,36.66646945271408,36.207475652571574,38.15671721150224,39.49149741239018,40.81314631337794,42.3525204699236,44.35818102893645,44.06572506903032,48.357391848048536,49.91420286798941,47.30494559093741,51.22215143828877,53.163602340475755,51.799603283738925,47.78673841484705,48.464144861747606,45.01552451874723,48.20484274396145,47.62364626682345,47.73572052162065,47.51429188457576,45.60101390114229,50.200805784030344,51.2932909582602,51.923132460647395,51.81728043077239,47.28443596273144,51.904349893418896,54.4234072629945,51.85791570844196,54.59340810670713,53.952775217622204,58.123215069247856,56.21622813697658,57.84890299154203,57.54892767364993,56.09280471225502,55.03718551833428,52.529698275321905,52.31725305481036,51.92991593525855,46.97561048576637,47.659187382217965,44.175452057406034,42.44160047814181,43.82198611231758,41.59591904465884,38.517718269008036,39.002468143729715,40.21701349333726,35.90665746029487,33.5831086652235,36.41835238928764,36.64850283219176,30.926604963964458,31.411117071229445,32.97725967375446,29.578281616137982,26.813609720278087,29.79500281801639,31.196836407264264,34.73977306185829,37.177801791608886,38.06425903578886,40.02216449310663,45.32461215824298,47.31299360848602,50.266172328956486,50.942223191229274,51.0925547222629,53.818413971762666,52.003097758472435,56.38200033474489,54.987667742646416,49.558747350990025,52.71026467805151,56.1282171510008,52.0872599288215,50.4767729918518,54.20833956770242,54.07570013772527,49.67196946216877,49.86011787596487,45.908063855702956,48.36205682543845,50.676746278410484,48.56739333328262,50.1399458963599,51.25116177419912,48.939780718648244,46.11877886198189,46.20568294424517,45.80570042022109,41.956178278210956,40.761348533364256,40.99376577810813,38.37093320828709,36.17796325711062,39.81230653329034,38.51939347125744,33.710326456506834,35.879340007834436,39.501484227766646,39.89598482620646,43.582706245996796,44.042858603311586,47.88151882289209,45.28700237784673,40.97117193235764,45.57338944834381,46.462622580924695,43.08081163040848,43.39256761478076,48.91314078915878,46.815298204091526,42.495455563352145,46.06905849689167,49.89414640919466,47.07764165364568,43.74445251461332,39.091194446103586,42.16677569843911,37.81138877364256,36.991953359883624,32.715707600095236,33.25216221680015,28.998766565857668,28.90099720735725,31.92059838976816,35.15708784063033,36.7766271077631,38.011528031987176,34.99038025023188,38.67762259868056,35.23802008781686,32.306761773903794,34.76892761084885,35.42683775172807,33.4416843581052,30.74116119563313,29.753185098808462,29.300340946140167,28.126600189587453,23.741297159155597,25.42487426444947,26.819758831008844,26.960908399290787,27.074412933470253,28.687206976699954],[23.034175791444593,24.264302414942218,27.30988684160825,23.984603130188777,28.86953711914981,24.480389813467827,26.01870080285021,27.48167621978932,24.05493592497072,26.093433648165153,26.097158525396136,28.074391744328196,30.936033616058904,27.93340392423106,31.518971465354383,34.228052737257435,34.69357667184323,38.23958611919209,40.87579524694662,44.16402163668257,47.10467504409202,51.47597641687877,52.06622722802535,51.82229022771483,49.691651625819766,45.255155482171375,43.86427714120449,39.58460962507582,39.50681605499221,38.625210632870534,38.787550104000594,39.17424346856151,40.86080816849452,44.79352126800424,44.28869746687271,43.52734122525128,43.5089327111418,45.37696549843112,46.0706710485981,52.07595605708784,49.78684711265181,49.70793247905506,53.88568004248344,54.906254216400704,56.65867641929832,57.15997320863724,60.82010996713142,59.469921015887124,57.22387201313531,61.63742087006327,61.82463392930425,61.849026218615045,61.830939034698666,56.74014104542468,59.18643229857076,62.74721829555972,59.33433881895092,56.628044677169505,61.08167422472522,62.50223948898764,57.48380913896891,57.407563962159685,54.46625457827797,55.71884384654151,54.9159067822864,51.33755378472545,47.30142954013881,43.86494344669943,40.74139316002841,37.253131729293955,36.44733952598808,37.090848590207564,39.174341558166006,43.74418053653993,43.259703646104924,49.01343550472861,49.707111508605216,51.63853229374725,52.02916988438409,54.35439323832545,52.723130858557056,53.43231553929945,50.258871670769494,52.94156815362478,51.38623681259753,48.13555981171199,49.20023245874455,48.7513048526437,47.800432193239615,48.85753565603481,45.797096098701715,46.940436632754945,43.11094123546021,40.83506109723381,36.7623357148218,35.04585514200114,31.41948792874893,35.322051673702795,33.4334134167993,34.37179965645788,38.43767539208996,38.72512359453043,41.859371439610506,40.94918373787292,45.385643082364425,41.56805974073486,44.304967855203856,44.80627670368309,40.81104633689572,39.39938788994807,35.01030759833433,35.5950257045578,31.336695080277536,32.811748486567375,31.391350239334745,32.495790577862564,34.69592849578893,36.74294996577728,38.24330607276832,35.762236935532016,32.79076777896842,30.114077442431316,30.19291695742957,28.76300778049246,27.18403688892767,31.754736003176617,30.72629198754925,35.07982829954718,37.85594054355479,42.48633520320235,42.79009303865985,46.54104640024878,48.0461483647352,48.304121993555974,45.00891879723171,41.378748102057536,38.88894518910441,38.36195581146203,37.03121581844954,38.28993191732446,37.989546611108025,42.071150404142294,41.00645423560308,38.99601991212895,42.283840071753474,40.15571193397106,37.54456315194886,35.96393980870146,35.83229457801736,31.893635327080904,33.195439186288596,29.97512086962173,33.65470361596939,29.99093867001098,30.971536778184102,33.90472614851379,33.342163204835536,35.698378875993654,36.688480315342964,38.583152505111705,40.1706574929064,41.713412790907626,41.78047751990033,45.899563120506286,47.755737758385735,45.53629284752546,49.540594827918696,51.65567857751762,50.569671600905465,46.49600727733758,47.06082541626768,43.34382687362136,46.22300294191783,45.50150725083862,45.35928144214206,45.126519279517,42.839974529177674,47.56548408777976,48.7292663713637,49.60829906444335,49.65595150836617,45.41226743309253,50.27373106412547,52.880572635303466,50.274067304750595,52.577989332807824,51.63535739236531,55.92658999531752,54.2067126540578,56.103562045682665,56.088791007104966,54.64581632951766,53.944193946871074,51.60931882682005,51.60441949993719,51.563993180485625,46.63756637591187,47.4594318524544,44.26424031536176,42.22021973306015,44.03523405783066,41.52904110814396,38.37821073525392,39.469654774612415,40.76389487760795,36.23587096983868,34.325506938084146,37.455508814143634,37.45859368553287,31.802323069992823,32.7782638513491,34.474312702247026,30.742440738350403,28.391200602885338,31.863759334753684,33.15841547687285,36.83954258948368,39.32608326068345,39.80734202870776,41.86937750484789,47.12344279942869,49.40062388225187,52.072413113020176,52.33722713533967,52.20913331682624,54.67176865184441,52.475415197772435,56.93502582776497,55.906451990749915,50.27505113158193,53.12254298664591,56.82110274110367,52.9425042979745,51.0042488499302,54.546209961918805,54.862626543268846,50.53081471466384,50.11639868885548,46.33010017201129,48.23049060754845,50.6869989699251,48.73213695228754,49.967875993658936,51.18474416216469,48.46703030438034,45.88837847596021,46.32836920782116,45.55426473286794,41.581345552498284,40.91966454963651,41.170807515709996,38.396702738263315,36.540774345505746,40.50323806304093,39.14104203043621,34.36317237814868,37.01220589153053,40.735908486425565,41.16558341133122,44.6140751848422,44.71851017648338,48.750688353505936,46.58351914345499,42.06542052850487,46.46388917623435,47.78522989284772,44.520080235052134,44.442740890338584,50.16316129494548,48.49076075930316,43.96685194313764,47.20359477446365,51.380427445555135,48.88396097122735,45.423912203008626,40.74818600981063,44.21513698057465,39.922830101852696,39.29824036043619,34.69373577075425,34.805359583941964,30.305127702704166,30.509008814560204,33.22953095956495,36.60157513289249,37.794012266028275,38.88572732537474,35.26286393966182,38.60857454725168,34.74793239936829,32.205888276146396,34.24665450257413,35.07915022251485,32.47067597979655,30.116726174512653,29.697468269616255,28.719072579082184,26.971451649048845,23.296182870714976,24.905470323862527,25.685257981360554,25.315071971481526,25.055631816603714,26.453618434613464],[25.16546877635928,26.719397270626427,29.99222280723148,27.01976617993913,31.637464746798944,26.74737518941423,28.205068570400176,28.98181991189263,25.51287412445671,27.78035289552696,27.258238179848558,28.702068053492265,32.26319607355734,29.501434352505978,32.537278485566965,35.26909359330639,36.322297752958185,39.75778268418812,42.75834305378185,45.920758133618676,48.94711633316414,53.333462924898775,54.067372788423384,54.121036583241604,51.940466801387544,47.50690581117039,46.01592777287878,41.70553707458473,41.17356154478142,39.92669530554311,39.593824540127734,39.84710662013836,41.07173892154074,45.103809825999306,44.989537743500776,44.64441690395696,44.635250541960794,47.03702774071123,48.02379333157932,54.0171003307623,52.041949236047444,51.699939420972605,55.76417706445357,57.088042605540124,58.998321407248795,59.7410702535214,63.32004987500331,61.72929399255675,59.68918690143949,64.10234246064046,63.97827059671311,63.91255518584038,63.676516083403996,58.655894466877264,60.67332981710202,64.35515493565792,61.12170763947024,58.08080524897969,62.399195178223835,64.15836599028184,59.10022845326281,58.68707202739907,55.518004460963425,56.93951753550076,56.45879169935107,52.79486298418981,48.80673058193312,45.177547568908246,42.28259711813022,38.50817710335466,37.9506036692931,38.39342442877061,40.173113779011814,44.910019120766094,44.178115912348986,49.6705966282724,50.65899711094401,52.21495412957101,52.862931837103325,55.45199576018645,53.77208883655041,54.804476432743726,51.411541645044665,54.34883593855055,53.11822263346882,49.65186978677654,50.67526472468771,49.765254421608496,48.9331033162386,49.41413572457706,46.43039485671432,47.28774503957793,43.387646568000456,40.94962838976359,37.14480019468609,35.08049030381861,31.775867141369876,35.4899779716407,33.6841555574386,34.17888534928482,38.78850257768311,39.20607546678474,42.689607049843616,42.00207800656774,46.85136423541992,43.25079514326202,45.86505577774237,46.71744916642048,42.83098956488306,41.10239930074556,36.96342142239274,37.64970107494955,33.34466475611688,35.16481641087661,33.56140558441457,35.06366545553322,37.0634948188714,39.46339148430967,40.59862492623945,37.75898867664403,35.016689018950416,32.3466192200167,32.97970000060985,31.47322907269997,29.769163968792924,34.51907085672418,33.19145068499412,37.56753795684866,40.27332165533672,44.66635997612192,45.37750148128992,48.887261030254834,50.62275103586498,50.518062243028794,47.62784234320848,43.92245768756595,41.79239422571634,41.31024328844004,40.135983780450076,41.153274518737796,41.17613110509016,45.20722711221408,43.80348943624082,41.68869798799326,44.777138668489755,42.289130278673106,39.819652375240345,37.86769882947692,37.62375356886575,33.487730886782465,34.507904903987516,30.794182781970736,33.99148678857223,29.72735454706035,30.74314588056377,34.12229809366728,34.03002911395041,36.620610748071655,37.80792123991942,40.12044505148909,42.22427374176748,43.59363426008037,44.23091574772709,48.117436603921654,50.40450472869765,48.56774099725578,52.450031876562065,54.81441370474596,53.729733662456475,49.66556353390732,49.986540291601564,46.16838054380322,48.71164128197237,47.68001324799441,47.208343772584406,46.64071272486577,44.155160916041766,48.66109330894029,50.244361841525595,51.16090531378883,51.66602262369906,47.36737958280623,52.448982060618015,55.23890784951507,52.78356321125885,54.94280700903032,53.96717973359328,58.36479337447732,57.007690254771376,58.86744181127523,59.023653946109754,57.38332609852557,56.83227785860962,54.47052597013024,54.397595613273445,54.4015475109156,49.496568842694174,50.07735423020286,46.88126656983808,44.51511432637305,46.183504286099044,43.351042131019206,40.4606315495378,41.77737362383042,42.66859846133628,38.05242732065156,36.76475531750489,39.58027838371912,38.95871119617571,33.65979349801202,34.832212857333786,36.11085931659756,32.14061023277431,30.351777680993386,33.74954835983118,35.416339798490824,38.59003625150051,41.834963137320926,42.04789903813419,43.76736443778503,49.05800841912942,51.10479274998099,53.88614450153097,53.916667248728864,53.93182124329649,56.2942961802149,54.08848950844201,58.70903570401485,57.83814460296113,52.3466910632625,55.146303954108994,59.06603506175454,55.36615027430805,53.42863378577171,57.014014969714125,57.595422336031824,53.32610079208749,52.90728393518828,48.900053025648596,50.46417457385423,52.73334049235943,50.49067525862897,51.440971960835455,52.30130208765817,49.56331209399895,47.36085096514815,47.47572713994421,46.352153717906695,42.66743973319948,42.17669992845754,41.937697247693485,39.02150613638402,37.59363177739568,41.37369585682524,39.616799698807974,34.97540713647347,37.972308954007595,41.546565435191766,42.36578716285631,45.78064045019886,46.041785607745894,50.181899429855704,48.057671419695374,43.82397782748673,48.29655475594719,49.73804663264628,46.59468794357207,46.74596943172379,52.43387227153203,50.915120212103,46.59741921309788,49.88691286621134,54.0423717455406,51.6997697397252,48.37566749833072,43.77390143316266,47.38953852838563,43.23673892822055,42.22776804168629,37.76001805270994,37.54490356643865,32.9686505727473,33.689055891218636,36.42204469739876,39.93822439762515,41.03752307194245,41.740619452742834,38.039712485994,41.223368142523306,37.34914907449887,34.35359476018799,36.00799538920869,36.46534161181676,33.619204884701865,31.855985633618797,31.105196734546592,29.594645676622118,28.375246521264575,24.769696286990314,25.52323420447572,26.053789993668914,25.6310751902622,25.151048338706172,26.142896699471606],[28.87157292864161,30.005180231869677,32.70482952866102,29.0254508262239,33.47206902598175,28.60124198508976,29.386436471938136,30.302890967325542,26.268815605508788,27.650798603006432,26.83594155459818,28.79239616179525,31.917035626458567,28.527838708700227,31.3500309914766,34.384000662480034,35.221650857334836,38.20925640340048,40.7779574263223,44.28674919108426,46.95557352363436,51.499518101192926,51.922425837000176,51.96896496605688,50.14690176848358,45.65337433139171,44.609869148418504,40.430229172660695,40.053001434209555,39.237275016883075,38.259905548027625,39.30342532295498,40.38309053138854,44.0360418368577,44.123876906532125,43.53608921748282,44.09923939598648,46.11825355617797,47.22957830845478,53.42267118529679,51.02346463390126,50.32993252964609,54.47837032817461,55.78324738018876,57.4270032909714,58.26496560271517,61.79287327741048,60.38435741807943,58.622830558222816,63.1734063621816,63.07020493389565,63.27451735893093,62.93080602855809,57.92093453229388,59.99612422842148,63.35151717098982,59.894640146840636,56.93245828232218,61.180914395924866,62.69873313769447,57.45136020353925,56.83955383301479,53.74823665977442,54.709673202596875,54.4189825000382,51.035302483116325,46.60370343627042,43.211418677921756,39.92760165850337,36.2699838912636,35.39179800868284,35.385673935867025,37.542457578145225,42.255607391164574,42.04655603410227,47.45729121583756,48.84508272532,50.5688235272502,51.492239837892484,54.211396418767926,53.007030112530344,54.24640905701421,51.28521465021864,54.38179369194131,52.94631920314973,49.27691858222726,49.79677067052666,49.11314103516097,47.68840317440621,48.22338253909524,44.87408204568626,45.3723337172674,41.609390280302065,39.55177243949868,35.91371092636375,33.64283766562603,30.520939813101368,34.92367994869846,33.62448507708414,34.90682467276101,39.029028183407625,40.22812986826058,43.18386822718178,43.10599358186079,47.9245859666576,44.51896485909762,47.56844132900477,48.488944472566004,44.778723598826346,42.91178424884504,38.700135656083056,38.69877238897056,34.187482819005325,35.43175059678526,33.17600312173456,34.374118397535895,35.910537776057424,37.78536709611493,38.55423318022041,36.0163055141358,33.19595920507671,30.935443935955114,31.762871074852956,30.84181359074979,29.809839163903913,34.844629517810496,34.422767917841675,38.58533975561659,41.58728096533852,45.98753002383913,46.910570648129486,50.59896298093813,51.90823154375782,51.771558102146734,48.599336614320144,44.6587106985795,42.814118354130706,41.734178399955105,40.11544571724724,40.85842811464373,40.29278567229253,43.97474341892002,42.47462813217168,40.71977419300499,43.761114461261876,41.53410135411026,39.26662542119082,37.67781546811157,37.97232434960089,34.08779531627161,35.77240302704251,32.135537649402586,35.75503144754983,31.833198537783275,32.07679981295567,35.23848535489183,34.691139044383,37.64422625328797,38.14908730513776,40.89503628725177,42.53481431296404,43.349797460020916,43.88784067385139,47.713569857881424,49.895528324169476,48.15132624042122,52.28795542708634,54.508505535146114,53.829301558866966,49.723364702600136,50.226158975611966,46.230429028537706,48.71283807584929,47.85112894725935,47.35964477304189,47.10681960230213,44.27498169888336,49.09842224304482,50.39755587709007,51.637438430352084,51.906643936852866,48.11901297711854,53.22956431086792,55.90938137727707,53.25798311765359,54.9587913053196,53.56725297996182,57.971691600336875,56.428717876302244,58.731235282828074,59.06568332575899,57.716374625936616,57.43462050423204,55.3351277882904,55.57313877556488,55.88618828106302,51.03071951662588,51.99023070715053,49.07753476487447,46.76915340132169,48.91022787375715,46.14076926032534,43.01257214489528,44.598973937639315,45.865149319356924,41.20287820635206,39.7117126483502,42.94846124307961,42.64655278656932,37.18256136296179,38.473423878264164,40.10686987539918,36.14878895483635,34.195416949491126,37.83038169741368,39.17050884550769,42.76053934501088,45.43412768573618,45.69263880067874,47.714925430740585,52.94070244373203,55.26721196371159,57.844779152018695,57.82347600563656,57.57462603929018,59.82987747887053,57.373960960419154,61.91266765571474,61.182634640689294,55.469416290302924,58.06865477446171,61.993487203898624,58.27224898696052,56.10667162789921,59.484340593372075,60.152615869902014,55.894800835420874,55.02050628520154,51.39316143776254,52.795450663518885,55.33045111063366,53.45701923637493,54.336152912941124,55.519243624125856,52.47158939272068,50.237896272810836,50.855697361307676,49.65944994118137,45.72697921576329,45.553403623233606,45.627945077076134,42.705567466359305,41.2850088388319,45.357924535062956,43.77964621147795,39.12158203204733,42.185843817911056,45.878108171873464,46.490913276274526,49.77467322621491,49.712749539939836,53.886081742327754,52.00021744438041,47.475407945029005,51.74273931570648,53.352279429357,50.1942990365471,49.93125080480367,55.74240479770387,54.3381481517566,49.746479920237135,52.76976777429351,57.1389835016797,54.82927872278626,51.31896473948815,46.65293340090352,50.27747061686938,46.009999811344564,45.493727285288784,40.77860046735978,40.68869847498457,36.0886737282162,36.44913530912852,38.98858596252003,42.38691160161375,43.327253469380786,44.34225764016922,40.32383041241901,43.34691576176691,39.166285866427344,36.96184209029026,38.54626552358661,39.41948546427631,36.23028246685576,34.388725367607705,34.347472806045246,32.78998490366932,30.75046861147147,27.81396971254122,29.005713766818992,29.149280318913195,28.261496478939684,27.515117783923177,28.395831190581376],[28.54937212716379,29.922200692778546,32.743527231511955,29.547216851946718,33.547957280569086,28.078547216539942,28.840229557997798,28.873414104275074,25.01955033538073,26.930114910777426,25.64200146167808,26.747008353917824,30.76751541206784,28.023834494777933,30.259428087298893,33.11113879541024,34.72369946865447,37.78537747969448,41.02356852867234,44.126529118947786,47.09473471808453,51.52004784156534,52.31713387109967,52.744979049036516,50.639468208982116,46.22671865204095,44.80001226393054,40.55467790970464,39.54498344369827,38.099935273502965,36.91017982767883,37.40024119276445,38.05318350240512,41.9642423335588,42.355903045609026,42.35044620499492,42.64172936432273,45.438040225878964,46.83258181771299,52.87357294233742,51.085161208708314,50.250730750674904,54.18541280301617,55.868625762143516,57.853376315305226,58.952162832005044,62.384235499177045,60.56531427807493,58.93432530227649,63.39244378209254,62.87719070610535,62.84225085924636,62.281758801453066,57.37791624880204,58.90638981686452,62.54234768918572,59.429326697018766,56.04971929386449,60.158986437959776,62.19144839777624,57.03416755818534,56.159373415090734,52.78596391344943,54.22376829710185,54.175925002570565,50.54043941089901,46.48428546072315,42.74729560737844,40.02809625519868,36.00752940582796,35.661360612935226,35.77524345518792,37.25677191600017,42.117310939297084,41.26403466267969,46.40651880164991,47.83428443162477,49.0469333172695,50.075189056532395,52.992871960020516,51.50151696801844,53.00085280510908,49.629176788874446,52.93561681030518,51.969509203415264,48.153100653752716,48.84955811647286,47.54260282599413,46.55640384141039,46.43853182576696,43.39979856507784,43.8214415216498,39.9326514510496,37.503602418596195,34.08475640254233,31.604016409470205,28.758377332554065,32.5517905170742,31.141951399713225,31.683862832719683,36.47176882772588,37.56035981456914,41.014217782690025,41.01840400150068,46.278609337606156,43.122539111588594,45.926249304416494,47.268372706919436,43.71233279807541,41.47300859510861,37.627364140646996,37.86894351165336,33.409366442713505,35.240080886933534,33.03477837790009,34.86017573753071,36.34437286836978,38.964247703954015,39.46858256477786,36.31793968383566,33.88287259303062,31.426875434066307,32.854985941923104,31.549989334695304,30.093287377825877,35.18492072102502,34.14142154528758,38.32429216248378,41.14582203143482,45.193926177025816,46.6301401078344,49.94431014667918,51.61571887435478,50.994325702303705,48.4415986951814,44.48123867061227,43.089431740604134,42.22495062496612,40.989539247176246,41.48480826673647,41.652206121325165,45.41054768408702,43.495676096024376,41.42534983761606,44.19143314660769,41.39780895454716,39.24381690598023,37.05923058835488,37.01818598337256,32.87474026378768,34.037860308628645,29.88177762333181,32.84563531336341,28.32479188384085,28.710417220470415,32.33067895938969,32.41576927077177,35.48989755182649,36.40703412085629,39.474607671452084,41.863595673460495,42.65818004947142,43.95122477786015,47.4692655811094,50.244032999865205,49.0073790946851,52.84088140244017,55.466534774041236,54.648363052426625,50.5922341396474,50.67698562176373,46.62525687920614,48.65372006249971,47.3366142927398,46.445676169829255,45.68910605958356,42.766633861279466,47.192261547592544,49.06039942051269,50.22781086656345,51.127400069025846,47.14591612088895,52.49288152610353,55.42480120052998,53.04429625345856,54.69089234071119,53.4256968845536,57.9409931311174,56.978955287711784,59.0403990628953,59.55493794555844,57.83498005619624,57.696559819493515,55.50693540805625,55.58867469930862,55.92914894881241,51.12281195666205,51.70136751801533,48.80742377341392,46.05060991984754,48.01074130838124,44.82207231252202,42.04759646578819,43.97693763423732,44.740350782530385,39.98693510755479,39.359634720396656,42.23227013246701,41.157130514077444,36.193976113437884,37.829931914617944,39.021120517328605,34.77203153405189,33.59398792754631,37.279016260986374,38.969918630257276,42.00254598381898,45.53882145050932,45.30524760871448,46.949036045210484,52.14950467270617,54.31847191955972,56.881417438595314,56.44573531309227,56.27329901220891,58.326917552479806,55.79255247037968,60.512502303053694,60.05546373859455,54.50525091521511,56.97575419732289,61.21192106053908,57.775989801956015,55.56837362789964,58.96655131279335,60.066543889791944,55.92864999654726,54.984178754365914,51.06888023400825,51.958829544827736,54.235510107080074,52.02778186798854,52.51732569245431,53.29315025289383,50.20120196390415,48.44481266866023,48.73129153211266,47.10726019513801,43.516087101953396,43.61180683638193,43.16706937611933,40.10822234128684,39.225057583344295,43.13722588356971,41.17855258124879,36.74533457456805,40.246405138251845,43.77322165055735,44.7751406786665,47.90529973582615,47.91022774295098,52.2135457694586,50.52142904207649,46.29415501857439,50.55324711043822,52.41158932756403,49.46088252021806,49.372404558657124,55.15321358250887,54.086398970753365,49.72993724840991,52.716259611982416,57.125271895387606,55.143691205545416,51.80282949814046,47.26249143905837,51.22809410059534,47.2214806760853,46.22340167668788,41.600872348247506,40.91943259044678,36.20578413601066,37.35365138018548,39.80628299476146,43.43428972787171,44.12829513947346,44.53194065851739,40.35779942888881,43.108165285677806,38.94410202356832,36.15587788328172,37.206019269199935,37.63035500344101,34.174541760633346,33.08035109086799,32.7097931361391,30.531058039301474,29.09273994619437,26.35466114608012,26.586351474666948,26.383906107487668,25.43023077017108,24.48378349130604,24.938184026259794],[34.32213245702835,35.44128212221097,37.84252287891777,34.16282070321852,37.896467010746484,32.38085283946768,32.46562056328699,32.367274703248455,28.052961793356488,29.060216716541255,27.227191002646435,28.56399755967514,32.32797537844311,29.11310331292157,30.677663833421214,33.80656975555681,35.478717553262875,37.87509255199103,40.766659414310006,44.13684208983037,46.692330569266076,51.249422660058286,51.76363266450454,52.36331073746102,50.66577041146875,46.25028131606069,45.29901535510717,41.26188374083617,40.18378854592325,39.051335680570425,36.81568460909187,38.15639130981344,38.32268002910375,41.75626369120577,42.64213405291958,42.61081395827532,43.57439362205707,46.19664057919485,47.88063338824123,54.0617192137302,51.993150948513396,50.61586984045339,54.53182481537213,56.353944796628426,58.10417210177481,59.43903141782031,62.73410451470252,61.00092473077905,59.818707157148715,64.39075911080513,63.72888955547866,63.95114185010398,63.14920046762987,58.34425866235018,59.67476963434965,62.97062742623265,59.73334987992913,56.27747756666585,60.18058988714965,62.1197592272936,56.7660213051193,55.4507425002977,52.05921716023593,53.038213123842894,53.430946443970925,50.11700091934726,45.622581389868394,42.10492327932543,39.12836013528097,35.14634713865992,34.597815581587334,34.02217184200715,35.70254088745575,40.554358976595125,40.17989190402902,44.95351381712656,47.05165288102299,48.199017097894505,49.7190930271791,52.92540793597787,51.984037701309155,53.90073730674887,50.941850080815854,54.53401256445768,53.52879457098735,49.4104562635854,49.493419785239915,48.19127522855836,46.593754954336426,46.16996576332583,42.785148014770755,42.557070833476864,38.857914598902845,36.84073873904912,33.90229253253816,30.988287181921326,28.70425862689056,33.088163488763435,32.388863898022976,33.5762736432333,37.979880073756966,40.01458590385501,42.99260531491932,43.795563783730266,49.14892488775976,46.35169280611649,49.51884212103533,51.07513858376762,47.78187654972832,45.296597579889664,41.53702735588919,41.11954334778776,36.51469505054288,37.86133035228128,34.92992140825723,36.580807887693155,37.42032560127825,39.59303250614424,39.46405945322052,36.51610589738897,34.19828710537226,32.28078388563066,34.1732070340639,33.48703588131317,32.70863229526099,38.046980809957375,37.80793385643219,41.71857533223581,44.77078423543117,48.67739578429252,50.48752203161918,53.85351656333528,55.1751030042717,54.36334542306442,51.72303210433934,47.52859854983121,46.5955810302903,45.154954108300586,43.54798400795321,43.63758100680388,43.33463956685327,46.636648307175385,44.46760127731194,42.77137525918621,45.331700727592604,42.68056483519938,40.86686087772239,38.93288035837754,39.42239355473673,35.5493944882203,37.25655964471882,33.06323829497605,36.16114663658007,31.8551535296211,31.388754978630498,34.884696517962155,34.709617533372025,38.22611086399399,38.46904420086075,42.16532810150754,44.26650290499412,44.351032305064294,45.81189493845215,49.09100103698725,51.94048933307869,51.01086313470158,55.01679954019685,57.585965815041135,57.2068749916584,53.147078656948416,53.309711749451296,49.067684632797096,50.84343963559533,49.57133666022637,48.50087298439975,47.927382339772414,44.55769201695831,49.14987384367316,50.902495963923194,52.43631756419037,53.305133889364505,49.90010224475395,55.32641895477012,58.202115008073335,55.70688839084543,56.76861442185751,55.03998536601137,59.57514375228253,58.61119766150665,61.119812295433455,61.908438138737466,60.41607746818632,60.63788851157573,58.72656595362566,59.100257483240476,59.774353705428325,55.05701763350699,55.912224732152985,53.31382324968449,50.51065560764619,52.858864073980186,49.631628411101005,46.74892826012872,48.994552942490174,49.96329663172624,45.17092524493472,44.55569100395213,47.69068400938704,46.709868611631485,41.74055965203179,43.513664902362855,44.88043963144,40.60201271690657,39.42454160666245,43.25655905361893,44.77856958546496,48.01258632411373,51.27457661982735,51.01790138374628,52.81553535028305,57.96298219015554,60.292570252910735,62.71268511247186,62.15321745875664,61.79105148222546,63.698245156597714,60.93085102899234,65.61423501820883,65.35860553346288,59.670092265596814,61.91846518168537,66.230327421467,62.853473721037815,60.435303466327646,63.63283137988252,64.91625460660444,60.82522588076926,59.44339079325106,55.83148907264488,56.430253916130994,58.880574952786134,56.93348158440104,57.23204932078837,58.17299032343378,54.78567447538082,53.172391895295796,53.81668756729778,51.99132439005155,48.31233006800289,48.77896810140622,48.44727701436537,45.36054504592059,44.6485237433617,48.726349824926345,46.8021182463772,42.44590007741142,46.08600484221918,49.64211004199661,50.5904228107364,53.578312537406674,53.345303147926636,57.696086380248246,56.243805283229165,51.8700486727223,55.9507948538154,57.99604607258426,55.07962158123842,54.69536902189297,60.56001492678195,59.64715158120362,55.11972798800958,57.876405507438385,62.463547497923834,60.5608257787253,57.0991249535647,52.5282111485003,56.52938893862556,52.456731980536276,51.778871337417314,46.991344794800476,46.34947428349019,41.61185802855141,42.56657375745083,44.86259890300925,48.41507141018337,48.94743317787807,49.51799674846868,45.05504027065766,47.582570224208546,43.15971017298387,40.98856504465928,41.829810977644975,42.50699159762201,38.6869954745018,37.74867532717395,37.91975206288588,35.56214048455337,33.5745830325263,31.515004574807236,31.87114362885858,31.243169595829205,29.85503074703796,28.59699895116401,28.736270698256607],[33.21949343097343,34.262742607217724,36.4383991876134,32.92936431029446,36.18035664321795,30.359252795334186,30.22034627957208,29.54633701135701,25.332297686628507,26.49662024159246,24.342179123667172,25.15433600597658,29.372303704261284,26.607251133702103,27.750541495293643,30.72132931574576,32.86827058600948,35.304057592398884,38.644549188454214,41.68970069195053,44.462466695028446,48.898906307172176,49.693542148238514,50.53830837190414,48.616682421441546,44.287766702564,43.054519942828485,39.00401728806011,37.515999113701604,35.99598814094473,33.677628524022985,34.65556875852522,34.59816728764367,38.182521013473014,39.199082756833064,39.50949539442503,40.29166515124137,43.36885265954328,45.22113808579249,51.26973687900488,49.6078466409558,48.15936240371922,51.91580899115552,53.97045648364469,55.955251477373935,57.45595487851306,60.67679749722682,58.66463100464308,57.56619496855626,62.05694946486519,61.12406051939223,61.19059927184219,60.2575869721165,55.534944967078054,56.530606224418115,59.99445757347433,56.98725449974818,53.29131458189433,57.111938839550184,59.36542248480199,54.10476879858705,52.67952959630309,49.131323092137976,50.468362929803945,50.948548345980385,47.45176696932713,43.28031382744975,39.532473001645876,36.99112752497475,32.797753647757176,32.65185395078185,32.28722922576393,33.438793192611435,38.348801882869665,37.47537782976809,42.117809350285135,44.123480683063164,44.97631379549843,46.49076160149583,49.77329189375397,48.63750309974837,50.68615088568798,47.510051359596275,51.214060870075755,50.486583694110216,46.29287384131719,46.482208124681385,44.819574028187574,43.5137250284534,42.73975322996995,39.58249570671068,39.40527480419057,35.62011820799755,33.349492724836544,30.509603339025748,27.53344757239489,25.397248396347162,29.368800793878023,28.633126069410423,29.49824120846414,34.152703501722854,36.213361420769694,39.366028718951156,40.30749798781673,45.87505916617309,43.305261705765595,46.388548441242584,48.22501201069606,45.12375670728923,42.375291032767834,38.89545680364393,38.470219716782836,33.93075938285529,35.552637150059844,32.61319528161281,34.6555351266159,35.42028299678701,38.10624044648347,37.81199298689958,34.44892378817165,32.43156703195216,30.39680980015554,32.69842323352912,31.784179802086705,30.804226236852728,36.13156893591289,35.648067456363876,39.45456199185268,42.409078980421796,46.024436700752496,48.235338410731856,51.350910313905324,52.806476610206744,51.65339859443214,49.4076879224793,45.19044582116267,44.66297303873896,43.27095545549363,41.89599614288819,41.76202727464529,41.95665661542307,45.26559356150947,42.80736455750204,40.90817142114055,43.24646998828336,40.23788889102748,38.533318694762656,36.247884062771575,36.57590918309415,32.634617711908895,34.113716305765394,29.690469882359746,32.4516216566864,28.00673974343513,27.39250101765384,31.031880362685655,31.139748139420988,34.748281719883444,35.12438388974448,39.04990372402292,41.54566893103197,41.55245072893035,43.50359985804378,46.538719496710414,49.768779092660715,49.222036964225914,53.001895755041424,55.83815601271997,55.40877544492551,51.40993698104279,51.286810510400564,47.013238533650075,48.441353296326575,46.88756233901088,45.55929731234882,44.707466826689796,41.26997645995125,45.62402388954152,47.67691021673234,49.19088206479533,50.42616386051442,46.9939083282897,52.540700641827804,55.54938449672785,53.22590495541789,54.18362541328594,52.51721096538199,57.1030139878463,56.53577777002619,58.89476737361604,59.8294153541537,58.11724313068528,58.48607533490783,56.57260276613927,56.898813143701354,57.66874272948063,53.03889480154683,53.717309630161346,51.25237377883229,48.168311307373045,50.54021135132199,47.0774386743676,44.38441080547282,46.96183805218108,47.72041561632918,42.90356543417429,42.84134260636995,45.86301363121189,44.50085088064881,39.87788391954861,41.949644746134744,43.17627329749286,38.75937566967664,38.08269028881095,42.05644563581157,43.625690441279275,46.65036387562743,50.21160756577648,49.56846561575263,51.23729379693179,56.27703583266355,58.66463291688861,60.90688494373738,60.002273825980915,59.54180748430939,61.23332763313336,58.30698962268571,63.045198695946546,63.05348929409003,57.41723892997575,59.46586762455486,63.978785184036795,60.82913949563041,58.29720550349871,61.406570998151494,63.047350366865764,59.08245091115567,57.478446833024925,53.81769636252206,53.973410539022886,56.318054711521214,54.30297436548249,54.3086654023104,55.1191212331664,51.6039467695334,50.295737117379666,50.939981852192204,48.835843311018756,45.29667430556511,46.07470137140461,45.57710230022753,42.44659270681697,42.08508523938436,46.17012953014121,44.14755524177113,39.98690464716851,43.89784208451762,47.38009044685072,48.440202052747786,51.20583014466984,50.832864918951444,55.250275519683264,54.08817251301278,49.80020041120171,53.724241589960556,56.02841724701973,53.28856153083022,52.82014218921996,58.676331898504536,58.10545572786496,53.65548706733557,56.22654601772221,60.91976796994462,59.32579967344128,55.93414649500496,51.476432577647486,55.75764353274324,51.895910376756134,51.063386036588625,46.25791733591493,45.1769909978039,40.397861214163676,41.82071263672017,43.91738059145094,47.57419849277295,47.81826791668427,48.01281217497059,43.351920330792005,45.580090733706385,41.1260861022735,38.84728422660026,39.26986528152886,39.80072633598596,35.73780297946921,35.28461074438889,35.530410913835944,32.79853687403514,30.91326410913882,29.33259186085942,29.26081515267085,28.249563804604566,26.669338228122538,25.22972689746504,25.09687252345163],[37.432668643650196,38.485656041878286,40.54511791279214,37.12311302915407,40.02976653800148,34.06548833285853,33.62831713239181,32.466366701122155,28.30329043069261,29.228080732157938,26.615849406491648,26.98481811523789,31.41208038124453,28.879971451977074,29.202337422892196,32.102897041931904,34.69530022446479,36.69406738332529,40.138650193542695,43.031726127203534,45.67638922399182,50.04469255411169,50.87897645435727,52.04116880513406,50.23003092908425,46.020522419664616,44.8711870584587,40.99299132518282,39.12863473780174,37.44894924418922,34.38903089104133,35.51422407552857,34.822106817812,38.172051964682616,39.71928032866264,40.403413502978076,41.415085914937656,44.81354042107106,46.97484704922471,52.91625010864148,51.47540299358288,49.64552722020472,53.20307463258968,55.54107073237344,57.562383737958974,59.33419093218972,62.38645128978134,60.20713912837556,59.46038911754492,63.918503294650066,62.66599886295384,62.74040757598235,61.541947323485175,56.99616158615434,57.51830055057632,60.91053561381776,58.077508448329596,54.115870171926865,57.667526233487514,60.167471179329524,54.902989017480245,53.04387877648313,49.34582123514881,50.679918294472586,51.59781734638619,48.200024476082206,44.06502400273579,40.31807295162734,38.037509705756925,33.76429765876935,33.83183369915607,33.10681716256298,33.90596193739488,38.769139024663865,37.80457376609853,41.89910263207178,44.352155343107476,44.78628670999263,46.68240643849723,50.23827745163693,49.28269828811608,51.733540682251416,48.59708831100375,52.55161045254576,52.1040856997079,47.70797435775063,47.63056394999597,45.59341035697689,44.212651324309014,42.79863426085685,39.693933955533204,39.00918249998802,35.35620863139491,33.16309100982388,30.927432921611064,27.599720615574068,26.184383435938635,29.92620245678512,29.622890985903904,30.33509401624045,35.05658074932624,37.573894304925865,40.68790528275575,42.13256859418764,47.91224548672039,45.733468910611606,48.80943494904592,50.967825203891714,48.129796307144986,45.105416680408936,41.93936719415508,41.32827816629599,36.859856678276955,38.49913611574376,35.29347043855659,37.50881206459774,37.88022290073196,40.64044267771201,39.86028825591658,36.36479755450345,34.69239194358956,32.92424509503608,35.69613171070066,34.937269758574345,34.116588091091764,39.44571117938455,39.052203726738995,42.65801977774396,45.5762056086818,48.87445187173195,51.50490188603083,54.40936325843259,55.866757420099624,54.37092857355751,52.444079531172626,48.16165189768181,48.09227659795747,46.55174175419136,45.203695150960456,44.74941507938684,45.058905436925514,48.11260247013469,45.3514581075883,43.52861000365586,45.5617831595804,42.38026367463509,40.968379645641555,38.5465299522797,38.966780447640105,35.14154833676032,36.56379549246311,31.965999511059568,34.279767688917765,29.73406947236059,28.729634107939052,32.46068490745087,32.83305291478072,36.656037715384706,36.88826405131352,41.26443352942308,43.97922162407951,43.578633509825956,46.01093418521763,48.68891788704557,52.23963235549284,52.13125614780072,55.79701763396237,58.78103220772843,58.5122147455447,54.580047669413936,54.28719625112426,49.94515265445572,50.977583770717644,49.21917300314526,47.582518545031974,46.54755950439565,42.86228810249972,46.97405260630892,49.28336499853534,50.941948786766154,52.51856561465601,49.3453834093586,54.98819990770541,58.071430702356786,55.8645250282254,56.46319295315458,54.63120882483672,59.23422395589177,58.995259983659246,61.442276634634744,62.60991302619699,60.838082910562974,61.465045712584285,59.664194847417896,60.051381567287535,60.990099884247606,56.473998482279285,57.08206154116206,54.78678286478153,51.49407620890687,53.914820221500364,50.26162796991503,47.746384525864876,50.5913503427371,51.17183713345216,46.36361990096824,46.7202682662112,49.62850267150944,47.9372389158177,43.63162174109416,45.872697085924415,46.930289852639795,42.436168496882736,42.11768382006078,46.08912010804182,47.749259589104376,50.548643228389686,54.38306372164345,53.528050607424646,55.05125690670544,60.01879476980662,62.35311228215825,64.53127050542467,63.37612560745769,62.88938423416975,64.39739723351316,61.355598610132304,66.13500528502139,66.37830436228558,60.81925931090011,62.6848250893978,67.35930385065869,64.40601246777372,61.7838722228733,64.7886148148205,66.71628538912,62.859564729083516,61.045827913909214,57.40933141618139,57.17073071195206,59.4325792144009,57.37612560426416,57.07486797735361,57.714611670203524,54.07748087432876,53.13499825194225,53.74388245705494,51.32428747685094,48.00498539851764,49.090424215622214,48.3508055954465,45.185556066376144,45.208947863111,49.19682112433576,46.99935666850742,43.07525090356231,47.20291839009863,50.54901564622441,51.79197902884144,54.390191511318115,53.968505072736775,58.42430134944646,57.46876112520586,53.33208976941951,57.140586435536726,59.62055964448782,57.021235729924676,56.53471648639276,62.35591150707812,62.00777073537076,57.64128075905956,60.09019922962543,64.83475632280219,63.42906618389388,60.091399999694055,55.7072152937727,60.10951622477316,56.34868435198312,55.42878004644885,50.64755811469425,49.35803741871116,44.578068869415205,46.22727116425843,48.224685001609785,51.91431756959964,52.00139192519391,51.99551233867441,47.20777250907357,49.18581907869551,44.69479176521746,42.43871328161991,42.49521391890549,42.88803697549793,38.6081860236734,38.63477433623966,38.931140473932025,35.87137192112227,34.129480881282944,32.981061714719054,32.478071512290065,31.12806481491857,29.372537663107032,27.728640600573005,27.173808556537974],[35.95772223802822,36.68776385152348,38.2955077985255,34.603805921122834,37.20506498291938,31.27885270901194,30.45455685499978,29.292509871188503,24.96210567684643,25.492091005183397,22.76313503436931,23.327119726268048,27.51114228651307,24.854339037616025,25.09377451576759,28.059606983488372,30.575591469580402,32.50614457336363,35.92094408140894,38.832808270242595,41.46728932714257,45.8452122612589,46.674718361082085,47.83245846065041,46.01508525003458,41.80972937479414,40.68563661920476,36.83670023160105,34.991549105792835,33.42673579897482,30.32503487975847,31.646892380984383,31.087150330774822,34.37704810049987,35.81337820946693,36.344407639951804,37.468931018814146,40.71253736053004,42.876917097144215,48.854746225032095,47.32822716882652,45.46046318615238,49.040452669372804,51.35533835010028,53.35254702997713,55.136790387211526,58.18220809988278,56.016332532854186,55.299137921072784,59.77259160114086,58.53333944220049,58.66195616212085,57.47092025399321,52.912679218102205,53.52069357731326,56.84630699275434,53.94412934046212,50.04538341682272,53.64225450635832,56.048132488332506,50.76339677853939,48.97616031055243,45.32450756068369,46.63052416575845,47.457363961365935,44.05780371056583,39.89708924087086,36.15281155001988,33.841022522129656,29.56621225955444,29.64198720575065,29.009772897442435,29.792805824017055,34.67496479802815,33.71527426197076,37.969042316076965,40.31935164226081,40.912300092536455,42.73309190291435,46.236671910805256,45.35252298951698,47.765394483899186,44.77220506349352,48.7197318713462,48.16358337542358,43.743401906849165,43.568581057486824,41.672687409762275,40.15777366399405,38.93752914517964,35.733958484353685,35.16722341590791,31.483023639649716,29.344876244307702,26.964816656941423,23.689954257163162,22.15052091685343,26.165390917221828,25.984214739519576,27.183477990553722,31.526060752528313,34.31591132717979,37.121757939515064,38.76271299626486,44.44579288060572,42.34891985037435,45.62669117873408,47.79289435243139,45.080660454953545,42.00066459742366,38.842796197933716,37.89575760980567,33.39966910653714,34.81915647738835,31.410019143867668,33.591808921983585,33.80921653462648,36.563753364571305,35.69058015253461,32.17612099759079,30.556319133785152,28.8649799174463,31.78480291796218,31.14500878806758,30.524027811312205,35.874454669422086,35.821841124344274,39.25520096728977,42.261265156379174,45.49768689409012,48.263295501480975,51.2002609737986,52.45789545931351,50.9222578966882,48.924120239791534,44.56953506496144,44.71174554551207,42.94628831637463,41.51057517527773,40.899883316046804,41.17394671472518,44.11396514730564,41.26749802557027,39.492561068239375,41.45965627868728,38.310645381468085,36.973788079514,34.64392664882967,35.24474028836395,31.564426635251163,33.280823234831864,28.823066034676547,31.43545013660544,27.31028450257794,25.87407602307299,29.329435308493274,29.371888057487464,33.29648203180084,33.21071598508708,37.6982469439554,40.20775550627852,39.624906064799994,42.049155438342666,44.674414711928264,48.218530347712814,48.21250756171657,51.88688491921723,54.870784783403224,54.723420289822066,50.81514166315251,50.51946835281279,46.13587421631567,47.084080969786804,45.36886607072296,43.735014034001104,42.83887559684073,39.06763080879806,43.33039468701468,45.466321452559335,47.22416553341579,48.6773437192223,45.70534484808002,51.330361419999555,54.36144852907708,52.10342828865776,52.538471899190505,50.60020184723996,55.19480878024934,54.94589856348049,57.484940451608324,58.7268163661447,57.02556992969161,57.771803719221154,56.08463118836304,56.595938968619606,57.69306537962648,53.24630268233967,54.00649633095793,51.90882567229413,48.62349567213471,51.31680653365863,47.71129213162272,45.08447975374618,48.12831010283823,48.9242856521653,44.12375593234526,44.44823585187495,47.589543348886124,46.099105154202284,41.75360058014016,44.12982089691675,45.43287902832546,40.96499725907271,40.62257173345905,44.80441797577532,46.20890348678473,49.273365613844135,52.72579285932506,51.77108276389194,53.49756937602224,58.3625951511251,60.96359752562151,62.90057369511303,61.644473542419895,60.91846725130424,62.31567951917367,59.084830740569245,63.780346158505196,64.14845272078686,58.45666621099721,60.15071817195644,64.83157275870589,61.916206291294,59.13652281357644,61.983465379054024,64.03014214879401,60.230611288410756,58.10455040316416,54.69704633009833,54.29073358477201,56.69164579235009,54.8914468822106,54.54993237856816,55.449559666707096,51.621987606873596,50.621931370599505,51.61179984149131,49.20747764373921,45.68864659905633,46.98027041025958,46.54449089698411,43.4212812030213,43.39784108167568,47.619077061258224,45.65345517863761,41.72518917431323,45.856866024066775,49.30602418971684,50.32323653383875,52.77184095335194,52.05792891095759,56.51479227502692,55.79457863907031,51.43910311591697,55.04154023477261,57.680820376633406,55.11921087414835,54.308107504655744,60.18670080456139,60.01731715244609,55.498235593260326,57.69867876576454,62.5974146692164,61.32841869243473,57.906892185528356,53.55045612147112,58.06012000114044,54.348550688103074,53.68060613859572,48.751555220335675,47.36599332090758,42.59666186362903,44.20223407437595,45.97866220065034,49.61495285326294,49.488029591268536,49.52484062491308,44.53568033855992,46.32613720357925,41.709997147228286,39.90755961727475,39.86431664539468,40.52547075410252,36.0847885698932,36.06748368520054,36.843072838930425,33.812628373340615,31.535569164256785,30.892806064493907,30.72073864848288,29.147119713742082,27.1319016321258,25.40296915434994,24.911178791005565],[35.4281225605467,35.85811361820014,37.09193308015949,33.023051011822474,35.522626922858024,29.790207294829965,28.641090458627218,27.78956388722295,23.210271367955116,23.168343998346284,20.480967774057113,21.61701217762012,25.217621502409138,22.114962781232382,22.502590232664513,25.654059370645996,27.793568929650135,29.59896928968331,32.71301149047561,35.849905656988994,38.3368088077659,42.806771547898286,43.46696531850426,44.49961490627678,42.81168348839745,38.55324668252025,37.632211119452435,33.82383452662686,32.226785253431366,31.031164804577227,27.89847499225585,29.69117323426396,29.40530748178683,32.50152360778346,33.748455533657534,33.90531581115481,35.28462397022599,38.08907857267827,40.17689476232918,46.27466280329574,44.42421723878362,42.52532087593227,46.21847000028094,48.392731520271916,50.235860559204404,51.96508381924429,55.03795302836137,53.02774297100382,52.3215626997257,56.861660574866285,55.76892176814261,56.045235332527525,54.91950560938304,50.306842509153284,51.177639063619466,54.32591565179039,51.222676805285495,47.51757330721704,51.195787648610214,53.329015042364986,47.961655351760314,46.29191302722505,42.7776801071422,43.831478616967225,44.53315356201953,41.246049817444884,36.84997379814038,33.24564553576856,30.625432964365455,26.462338722694728,26.29280861790006,25.60509420336907,26.706038673968244,31.58825807699555,30.952006682976187,35.44455055395172,37.762125934801084,38.694296358457954,40.45330366763691,43.86351502867216,43.1894488520834,45.502687682940135,42.80350863083235,46.68748729825502,45.86388311888707,41.44964433708421,41.084884683498636,39.54727493558392,37.6978241503531,36.88297564069139,33.43304513664649,32.94301755218785,29.296707304910303,27.40649358716294,24.826345614934066,21.664459921340978,19.897609555342832,24.49572194296278,24.491345205972767,26.425025137912236,30.15994207871869,33.232370516661085,35.58332794733087,37.37418290497064,42.827759075472514,40.711731477160335,44.25188302952665,46.28656317740391,43.6193817138448,40.61212958384374,37.32468019600505,36.001338857521276,31.436592031394824,32.44669702309028,28.778329129556493,30.70265712126368,30.755792366810528,33.21247251880003,32.286056110311094,28.97620419856182,27.24278729874116,25.725072783011814,28.630151912870794,28.278739562737318,28.02274485283048,33.42493682131881,33.90346310483805,37.196055608219304,40.355628177313605,43.66884142112247,46.38665180458426,49.483839549278436,50.452046492163674,49.04017466892493,46.76300345424735,42.33291952757743,42.51472598470147,40.45618768118892,38.78679355956158,38.09895483765452,38.05333760866087,40.85139649819399,38.03738134072412,36.4359633944225,38.44427397742601,35.52700156797807,34.22618869159882,32.202939373594766,33.113897191127506,29.64437072668273,31.822054306237824,27.660213029363188,30.769617072893155,27.190191704045063,25.400285253079513,28.44558558849212,27.957449279551774,31.931083164124786,31.40452665309001,35.89397562416271,37.95255190621094,37.18508231630921,39.34278498412859,42.033873248539074,45.37786083008637,45.29845631269569,49.111287606804474,51.961268131247685,51.988787984159586,48.07056395414367,47.91964603770152,43.49315385576287,44.52124906497377,43.00263300734866,41.50302273239813,40.91483327244303,37.078796151163196,41.63307867269409,43.41122129176656,45.297774385878284,46.421745926085265,43.702377347048646,49.246092097696796,52.1509392114778,49.74576156923376,50.03556866839652,47.92974535483948,52.49472524068424,52.0312556227834,54.766799662994046,56.026132637836405,54.518307557520316,55.33470884104662,53.779258925090296,54.45684589463503,55.685758512793875,51.27164266477148,52.28702130235525,50.34034002516899,47.19987258260673,50.17238682184278,46.73257005165243,43.89793872223938,46.99227375448272,48.1131516938381,43.33662362966639,43.36435957311758,46.80092519883111,45.695008958656544,41.1527772224401,43.52675149266303,45.14135958565491,40.76806936430826,40.174209726328414,44.49907270057272,45.62284124343447,49.04421449445418,51.97392086785927,51.09469045348725,53.08444393962525,57.89090500568991,60.73104876755022,62.50505291247966,61.30547420937355,60.38405611899761,61.766044849240046,58.418763144946304,62.998878646423194,63.37331294451523,57.52374969112588,59.13146305583662,63.72342171936943,60.74252127682973,57.850871782922084,60.571113613076704,62.575326943208424,58.777524600984044,56.42103032760901,53.284536691171695,52.9102458424673,55.50912993098477,54.01122398394184,53.76586604294994,54.992662330853946,51.035310696050004,49.83274954125681,51.21324597940802,48.958229396992046,45.17641985257951,46.529708854908236,46.478726937509954,43.424210425107866,43.18963653659943,47.63364839157679,45.94382714263498,41.928761121150025,45.93474297987583,49.512939521899334,50.257099986594135,52.65516341368953,51.713560094472356,56.13649908155005,55.52049930881546,50.90915749504332,54.37061311189141,57.05130501160081,54.44886033122692,53.34283548982291,59.28198959834398,59.138761820825714,54.428315983414244,56.454580611140045,61.46395597848448,60.19430443264907,56.653574833855096,52.273980165708245,56.76529354463673,53.00855670023612,52.67592356558701,47.604029948951315,46.32148439303009,41.58486837534949,42.92482284101422,44.55850638428226,48.08820577560714,47.86690865639167,48.12959368955302,43.01774011164782,44.74896352263399,40.00912217023289,38.75554886828481,38.8124275563893,39.8275472160912,35.34703185857381,35.04095322039448,36.28284808318842,33.47056571592039,30.585540081151255,30.241545966943495,30.619308959841614,29.011850791989442,26.840751488954208,25.12384252056176,24.85333536836539],[31.930887127844063,32.079325807870305,32.93989574095056,28.773653110456554,31.01015595061993,25.327415021630546,23.98471837685976,23.206457519171416,18.556197255962985,18.446060568806477,15.875365380839728,17.27231331947722,20.729463760594957,17.60419098216395,18.4495060912346,21.59367886176183,23.566466037399163,25.770487285277905,29.067384742220117,32.122166897914845,34.86232167353931,39.302149223631794,40.10930243599925,41.0105084457555,39.07408837404238,34.777397424010786,33.605715541456526,29.651687496064284,28.143789153155947,26.915882882817087,24.423794971596937,25.94178722594031,26.182572553832113,29.5248504746453,30.293343125074458,30.241747248277726,31.352667703439096,34.06274554210326,35.98110865780916,42.102247176888525,40.2730531612917,38.65002797142849,42.42096567169744,44.48001577680811,46.43049364443671,48.03475756454354,51.20083369915008,49.16299065350284,48.22020779499736,52.74329745950416,51.76104424511736,51.95922261923264,50.98295411370181,46.267987485933936,47.37895902415629,50.65676920589502,47.52119081461063,43.93429562567199,47.8074353784657,49.87637175471297,44.57687674047394,43.26567746254011,39.82486213885225,41.103123662280396,41.41516008020292,37.928944645264735,33.7311087168781,29.992146904194875,27.432885177273697,23.235267530020792,23.15551366415141,23.072157135882403,24.103985360095205,29.01052193459694,28.11263213895683,33.067814739249165,34.825209507776336,36.01570669067595,37.37052499238352,40.53954566857183,39.6190100378469,41.63583293505332,38.85191542441204,42.57702145584499,41.62710975124625,37.334925603081636,37.22001955244189,35.866306096211076,34.211265128648186,33.85900255384522,30.494476480942055,30.58813025318517,26.79481024404859,24.71458264683432,21.56497095803059,18.81553652530818,16.351513262054503,21.01974437313315,20.67750185417845,22.87740313227674,26.380151541598103,29.230066219766503,31.49691763619191,33.06600370575702,38.38345150466796,36.14286167239908,39.751910416555944,41.68727239475761,39.01401045991494,36.05656376904079,32.70875710802352,31.303420763507166,26.72137253249049,27.71465940025667,24.128136300553248,26.124536516872094,26.378185615486064,29.104444678394948,28.469817535527305,24.993275677886796,23.177568259600047,21.37490611844043,24.224836753835724,23.67264768699091,23.30864386551094,28.699290206815068,29.207174171260153,32.45868610320996,35.637058109862316,38.98208516276807,41.67199002987907,44.800715216492456,45.72324344196256,44.36705876245886,42.02618283974062,37.60114812789759,37.78357524650302,35.73547355806472,34.129395151446346,33.47514794677189,33.62086307657048,36.57628153735751,33.79656354484583,32.02396252282532,34.11948735505557,31.146127987961652,29.70300297873045,27.640358648713768,28.495705897233865,25.0068372821717,27.305848608628192,23.311629152546907,26.767075681367594,23.591995591288715,21.73660988523224,24.510551434375703,23.724097326274247,27.607656430212565,27.060019869633315,31.360027054172544,33.330456930506195,32.750332945734606,34.79089740872054,37.60536432748207,40.90624211633427,40.749307848767266,44.523628105431904,47.41187174635586,47.34272359962504,43.421723531753486,43.23779486804352,38.82743665146999,39.92536013330772,38.43404012315042,37.041727577193214,36.524698705967836,32.81723299587503,37.50716404808408,39.1450251365161,40.950712765730636,41.93717822554533,39.10897901220062,44.624987376378925,47.51440429176121,45.089556323479854,45.5230217938448,43.53820354263431,48.113934856303516,47.61348590279702,50.23247761904893,51.4235883863966,49.87310155628097,50.63033216999322,49.04673956331667,49.7167778093237,50.95428691287587,46.55331628770008,47.60896028362712,45.73156076543504,42.61598635686814,45.71194732158239,42.340540099541855,39.42827459553855,42.60206823922278,43.86459490547591,39.122188685130524,39.115162205280996,42.68299628148564,41.75180686898942,37.20091069799527,39.65834328851815,41.44886854070947,37.149620191503786,36.55381004957468,41.00567778133588,41.9164584036495,45.50056496483111,48.1343463611906,47.1579393156551,49.28166754436492,53.98140661115953,57.01286111355656,58.596924089503,57.35027847246437,56.27148997394133,57.60370248285456,54.17276434401706,58.681444552383695,59.089819489504166,53.16896007258876,54.70096997059941,59.26550176192372,56.29444270644237,53.333549224490284,55.98399619208982,58.026371258583445,54.26530830994064,51.77829703152891,48.74174114543277,48.32619212711377,50.99860727261225,49.649384669404405,49.45353413980782,50.87607072321616,46.85875340610665,45.52407159520513,47.14389260300028,45.00013507719697,41.04860695577821,42.45456790954239,42.67561631772001,39.69043872757141,39.337195325904354,43.93457167847036,42.478108922300024,38.4624984466631,42.39015957345804,46.034003036337865,46.567801926303936,48.85694389929526,47.718571423831584,52.110997040659484,51.63546184350206,46.87840326678422,50.191103888885,52.95068707193783,50.38166416254615,49.06599685936084,55.01944339757811,54.99485128388689,50.21184812555362,52.07393396004226,57.159725247536336,56.00019942915539,52.4320570678046,48.10557447714629,52.686253433430515,49.02337120969856,48.820071239112515,43.68553992690439,42.27997792635916,37.58892259187903,38.96395199014863,40.40691912242187,43.90301344316645,43.5149290524099,43.7480260601306,38.538102023469115,40.16157883981416,35.38261087069682,34.37364976573146,34.40995148110471,35.61750592797724,31.12315160327274,30.691965587952726,32.25644456530974,29.564673985892277,26.28650718459725,26.28816770370801,26.99424568389592,25.303681485416956,23.02640584871696,21.344710115327505,21.308350050969917],[34.7258071848691,34.6954469734349,35.16833819532027,31.002232329324293,32.67125866363144,27.035773774271423,25.17193740436625,23.944919224309132,19.392173719357302,18.666726908414304,15.56883753090273,16.628869139760887,19.94740129270957,17.039107460155936,16.805516680789147,19.916385846390014,22.278367856188435,23.931379159737435,27.313664574543107,30.212923988843997,32.824109981255766,37.202078608411824,38.053756247962845,39.2582150001543,37.41469475823422,33.25266457348913,32.180523663023266,28.449908691838314,26.57560199616863,25.301191010323887,21.99170367909111,23.880515296007232,23.619645367220333,26.669423629165106,27.845610797235814,28.010953678580947,29.460612080788916,32.33489957870835,34.55358232054175,40.581939167822995,38.89977518570094,36.883456847575644,40.47826937278825,42.78525784758247,44.754762492038,46.622415259190625,49.61931035830799,47.43365513240334,46.84371511877798,51.33496423001364,50.070029012946755,50.31725136244062,49.10277370726557,44.5464446239735,45.291690357604104,48.449470800762185,45.41671753512186,41.635787807779955,45.305462524829856,47.52491782897414,42.20105062696045,40.553282599309604,37.0038623684748,38.26850089077273,38.90417808154367,35.49558895472575,31.312406872787026,27.557684420227233,25.24689841982398,20.947064260750324,21.130379744827525,20.788174778143198,21.397711657832602,26.307287286310665,25.290119854538293,29.905349186517878,31.987985611275633,32.93864774755229,34.58139757150263,37.963988938197645,37.27497780466809,39.63415095643081,37.021207076577745,40.96532446609707,40.18449508906804,35.69273418745615,35.23347223166286,33.65190385339591,31.79685705754767,31.017569992118396,27.591831015408005,27.32346109103326,23.593226901299715,21.63507760542055,18.926279940306163,15.840794261808794,14.025925891688841,18.78498253121723,19.05764208409724,21.607824108714475,24.72512001387517,28.258797720559222,30.169940320140153,32.38490550895288,37.76343182088132,35.976879243180306,39.706306035608264,41.91910628461227,39.609945682872,36.39820584710518,33.39712354728211,31.57260503439118,27.130055172565793,27.93341751491526,23.976176868645982,26.083863797770544,25.785560691917436,28.563160594221632,27.35084632005285,23.732094392207784,22.376553740267205,20.971373680364824,24.397850789936307,24.118060122979735,24.092455094002506,29.35258840833638,30.199791823328727,33.06110922827493,36.222460079720975,39.1810308050793,42.328746158862614,45.258924365194616,46.02279849447099,44.335696824308656,42.25278750143976,37.758491494682254,38.532663288650895,36.202739811239645,34.582439930049354,33.49907749227811,33.73854587866588,36.319984316033675,33.19386479565971,31.55001088614659,33.260089045045284,30.16238710227088,29.099157256697023,27.006627267234084,28.10679322480789,24.933788418347916,27.38704318655805,23.447029412576825,26.656158160006036,23.83735745372108,21.283388492783253,23.805500092407577,22.969770873156143,27.090892557925848,26.106514843919157,30.895351771805718,32.87420269351342,31.738537170203408,34.230527224153576,36.627555351325036,40.2135321368452,40.56081857591744,44.2009520712349,47.21020273295488,47.38091830407486,43.57397084860007,43.2278689693771,38.76208597949355,39.40320301720024,37.763496372263674,36.08865149271165,35.523024899079026,31.525763555872043,36.095329545839384,37.810116568684755,39.8296530620136,41.02416149930735,38.62823764264849,44.176501439465405,47.07428362561203,44.73158317436857,44.69725346791342,42.480616340587396,47.04796049284133,46.852009897372966,49.608880002582545,51.067191732782675,49.52204161121508,50.603513913637904,49.21917033424079,50.032705921985766,51.52969355142713,47.31934651597607,48.413907706311704,46.848244487768895,43.58793283958996,46.889489825218384,43.423754484816435,40.622299685647086,44.129008920411344,45.37315591127825,40.70159135529375,41.03172389297098,44.6111455586778,43.54807991352969,39.29492300453443,41.944921411834414,43.72834664408275,39.435069903466,39.124504512827,43.64522133547027,44.46681337882952,47.993280029329824,50.59106902213774,49.384847450802354,51.500100080204895,56.03807506304532,59.18045974225073,60.54379476926925,59.032531904386,57.776595137951155,58.87090511100205,55.23400371982034,59.687164605816264,60.37840424308395,54.47096744776914,55.714663096515,60.390615267658205,57.633205721497376,54.50592459371977,56.936023944996926,59.29579106380155,55.69297832035127,52.82401291433433,49.99721105223911,49.120605354983816,51.80118754264289,50.61302877133996,50.12723131083713,51.58429675772219,47.355440601199255,46.303416352342104,48.15381000810994,45.77601313842007,41.906919897789344,43.70546672632814,43.934165870201966,40.98380505893225,40.92170945081762,45.543269802351986,44.113697016465984,40.33168000156554,44.391518638920935,47.957687069762784,48.487846670849024,50.5219615575976,49.155252380134336,53.54447970135742,53.401697736478376,48.66371573947458,51.711338641376315,54.70365106556643,52.29700269040856,50.76018860915197,56.67518143797773,56.95640707456033,52.18124999532263,53.757089639855145,58.9511838284028,58.050374253064994,54.500993951132976,50.29420820292569,55.00822673534611,51.494587732101785,51.37569648632684,46.22075837397075,44.594246334209174,39.970763834293194,41.49278934814312,42.69259082555831,46.139050282051,45.47889401176169,45.56191443248688,40.17313919889548,41.419586619652634,36.58927823789649,35.940036182873065,35.58181606302586,36.84144580768219,32.12234584287816,32.09051014439931,33.996738230315366,31.100463971648697,27.655819518108338,28.38179887504296,28.913113002810142,26.836924910226504,24.298138293839877,22.432459329721908,22.08457199244665],[31.596051822782222,31.293074205967276,31.388315593943325,27.19491225958321,28.54427260554807,22.99962765004787,20.916792622451386,19.727994773863404,15.138051919362288,14.301099739337744,11.263238797653287,12.625352202298302,15.81733351371861,12.930024652039307,13.263195794232367,16.35914693858171,18.567494620460515,20.763253168810166,24.407997318587604,27.17831809226187,30.110822157011402,34.43704748310246,35.47088354880007,36.51782002063739,34.37471947972836,30.174300162575463,28.776650783464166,24.856229299967975,23.062765770225116,21.69961075060227,19.238625909101795,20.708532907443747,21.11468555702098,24.488631225550957,25.06942529641557,25.006297573147343,26.087589115983764,28.893289946618996,30.910965685894347,36.968047906904516,35.3343779020291,33.659356500755834,37.34201441235424,39.516925758306456,41.62268957038184,43.33937176069748,46.445782778606464,44.22301723810009,43.34582604775088,47.816212684436785,46.67878514338035,46.820025669584396,45.78347520516553,41.10187414888138,42.11845129799379,45.44570046457545,42.388615787266836,38.73609380472108,42.63036234548082,44.78945411605861,39.558101774295594,38.33020553920486,34.86839773747535,36.409334490104364,36.591035232635825,32.94601203831303,29.034988754456727,25.121582844411204,22.92663558985804,18.61129588542027,18.937600214534807,19.37815769819263,19.86575752881764,24.72963286477018,23.378913204716408,28.498457202557802,29.893631345985753,31.12351705783771,32.27595267746215,35.36718383560596,34.3591222491125,36.36543349781133,33.61409421453477,37.3739486693494,36.4640390573608,32.113973209199344,31.984262709342588,30.595485198878343,29.016386853299334,28.775124169578156,25.49688222937611,25.94518687923557,22.075976165920896,19.87322009425043,16.446958466827326,13.976296106120882,11.179869136664854,15.956766703180731,15.750348353976747,18.593343023972466,21.453525764580313,24.67889468335432,26.532471501840597,28.459363409084588,33.70652316307588,31.764516641691653,35.5508062985307,37.65694261410213,35.332395867947525,32.1743445955819,29.11647093243517,27.224365507598193,22.76725797485362,23.585979218053968,19.73654641934601,21.979696937677343,21.94124316493042,25.088936061057623,24.247948276241043,20.40411716751918,18.971077663913313,17.18421179462337,20.562232742224225,20.003305822020828,19.81651622870135,25.037439347102325,25.874667227050217,28.68732267995051,31.85483844048731,34.847067008355864,37.96096453722205,40.91629034030376,41.659349751615444,40.03217913692346,37.89439066845969,33.40964722414444,34.178228455155995,31.89016080370512,30.369087135297033,29.333799858934157,29.836213442507916,32.61565455803547,29.536104641126833,27.666439707759043,29.48188324608959,26.284874302149404,25.038336046190977,22.85216128059577,23.858909932003858,20.637389921216265,23.21250673385189,19.46454641043105,23.048064533161106,20.712780551309816,18.117168415229315,20.30036621763822,19.12095174630563,23.136678860081215,22.156122510849933,26.730611971355135,28.65131721216088,27.76233885472504,30.142956482497425,32.69311896568664,36.24736479090594,36.500624524870894,40.08894348950855,43.15200039429306,43.188501316245464,39.37452349430413,38.98141931510775,34.53487545486112,35.25948719255497,33.63204995197698,32.07237115337628,31.56145182864607,27.71877488673422,32.44018590213565,34.022593823684566,35.93285382129949,36.994337426096116,34.430572766021484,39.964167008975146,42.85992627938868,40.50322338864712,40.663017287836645,38.606305093727066,43.1952000510095,42.96283434917015,45.56637663007913,46.93592667763522,45.32405156187222,46.32117986584242,44.88523171439131,45.670360559905426,47.156222375167445,42.95132872713699,44.06652807335319,42.55571099508506,39.3188898795553,42.72185279678948,39.328185939212005,36.463259962012486,40.03496604123947,41.40257639562312,36.784653576050694,37.093022574771304,40.7701406300447,39.87336770669475,35.64687366392151,38.36147452094892,40.292731442774375,36.105274001963956,35.80810884351799,40.404973381865375,41.02480506617126,44.66811793979118,46.987566878012984,45.69092190515169,47.91462200460739,52.334962966644504,55.63578388350217,56.82590518260787,55.283133003033264,53.891888324042455,54.94613641536536,51.24807394985648,55.63098136089097,56.34039329538751,50.379460660530704,51.56142202942652,56.20368115531281,53.45445205732543,50.275341552844495,52.64825738730741,55.03412165763693,51.46916051076416,48.49960813927491,45.75391559336201,44.84805324532454,47.58886283113459,46.53171882802175,46.104927241380615,47.74222654277146,43.47719314456161,42.28745283172309,44.35316178270868,42.10046876353185,38.07600211691236,39.90884808082161,40.39994274962545,37.533742875538636,37.35155442558965,42.09128249542053,40.8943733323679,37.13816957768042,41.08862382368061,44.69377238688913,45.02303657007278,46.94959577374453,45.408844736571986,49.7539059987019,49.73394673672544,44.880975633556304,47.78229766989983,50.83447994270272,48.466574054225646,46.74643770270685,52.65667197773142,53.0448307684136,48.22446289737573,49.64816505761785,54.897091781378265,54.09928473210245,50.54145095537441,46.403012433397166,51.18500044453448,47.78138329893882,47.76744472913392,42.59032939931622,40.84355282970673,36.29749245529388,37.86286706287611,38.86928246302931,42.2695616442515,41.450890551435656,41.48679217936489,36.026726984577,37.159026578502626,32.31012451534398,31.893117735664774,31.505086306158734,32.94756796031666,28.242691289047517,28.09326377567613,30.314167779248034,27.564228706435067,23.742922679954972,24.863420558580984,25.708997796426974,23.563836220030403,20.95748384145881,19.152145240974207,19.083067098461257],[32.38492692007496,32.162653559647346,32.57871661083959,27.90951401087804,30.1181297317393,24.941112319597586,23.245561467072275,23.17378233145987,18.32257353339026,17.245452755899617,15.058278179627015,17.53668225708185,19.70471759958845,15.735094125163695,17.08803137956135,20.47119140455397,21.560672241207264,23.552593163365476,26.16269026360011,29.66299995065522,32.09521287882364,36.685339939160684,37.149172804391604,37.76577439336145,36.09100379593551,31.69241310337578,30.92337774783326,27.050978622791373,26.123267801452347,25.632475754007867,23.251700501253996,25.525151930066052,26.245202997180165,29.17415070489978,29.594989199063573,28.874964203521344,30.378251510922077,32.23904676208614,33.950987202408236,40.24086188861834,37.817822738507054,36.20324624176992,40.17372331626379,41.93347553636982,43.57605086108181,45.0314509817381,48.25874746609202,46.543671241841864,45.58061157918145,50.20940763423952,49.526903392181126,49.97764449484597,49.145247985882165,44.35435609319837,45.93650429239144,48.89955565511894,45.43186473893592,42.22421664843473,46.20965290707218,47.78702730622924,42.37895483088954,41.29278922865946,38.13361908813064,38.93370560860358,39.01731339508504,35.776118536556105,31.168822369861136,27.76367689513915,24.588446833259933,20.721439274913447,20.060195901683336,19.87844122059527,21.641742744766443,26.436823592148894,26.220094882785567,31.4976256671288,33.18667318450085,34.94187251637235,36.17845170673656,39.14239233563011,38.57720428831873,40.37776560619997,38.098741609802374,41.64673058055027,40.242682327422806,36.03996877164669,35.636035927690095,34.93709800446716,32.7474495611708,33.10845898399709,29.399014186205424,29.603512910413375,25.995894258915197,24.42194712565507,21.054407303541375,18.682588566527965,15.916444496715092,21.317148109815857,21.226194954395577,24.37884659568634,26.86727194450811,29.96407787993493,31.51788960068398,33.18657779941883,38.02707421207911,35.70843969548332,39.64008674050552,41.27999443498828,38.63229844195098,35.90725742039011,32.34072155080447,30.444392179446893,25.829174929859953,26.08664840492575,22.16886750355489,23.563942586919485,23.604653220745025,25.64580931452973,25.03075868458565,22.066765051249757,19.913670297897596,18.43597915877564,21.052507515832875,21.067545181808438,21.38355383217184,26.78308668262543,28.16480650047869,31.200906289954577,34.591067160534465,38.10700108086333,40.56405989760966,43.96563848284024,44.44807309776824,43.386865955731615,40.5484628699257,36.063769754386605,36.15390081445739,33.685447694846516,31.661842141596072,30.98229171262841,30.462906714532753,33.20694202283556,30.592871285028593,29.15892797033589,31.404736496871593,28.94039796244351,27.5098891207007,26.081545803164445,27.437232507692112,24.36303888859016,27.33465889462346,23.97201568108487,28.06194064077326,25.706719784927756,23.595768847599565,25.684169612534397,24.125933828368485,27.89296272709581,26.714992722799426,30.812382298586616,31.964184647465927,31.170125584410833,32.6022602569706,35.59123588325892,38.43943545002837,38.034216195399026,42.0753071741082,44.67503521378086,44.865933984415996,40.920471073724286,41.04137150060981,36.60385105196873,37.9399919286146,36.84234930286323,35.753501556887464,35.771220790396484,32.06907141404127,37.161829552333074,38.18581832801861,40.14551923777079,40.5409864571806,38.0912429450495,43.39991302959727,46.05194306922027,43.38257223396149,43.65584488652417,41.43347892822236,45.92563821048683,44.98967493026929,47.922648675975275,49.081092510549055,47.875866826020925,48.672476083205495,47.27423035701761,48.18112289869053,49.55741837042898,45.19689761985487,46.64557906547881,44.939522639447475,42.1356584464976,45.555977415916864,42.50978541233884,39.304042739239556,42.39822142861932,44.12851302532167,39.484401064718135,38.92030823625171,42.859804348255835,42.53611357269293,37.69885543095234,40.02651532252207,42.22033138804178,38.13936482208527,37.094255808629256,41.6173837991191,42.15519329737934,46.19970135501669,48.074621371102026,47.3153167889532,49.78289522886097,54.40412437688083,57.68502046851495,59.11350111363643,58.04626339028049,56.76747631278731,58.1364283117876,54.636933787760405,58.95472826210429,59.28783798398749,53.19671077817194,54.670633743184574,59.0321247664258,55.926794620070055,52.87708577479443,55.375201321466356,57.24211523236489,53.46558066440424,50.76118050619623,48.115595910793395,47.88672913211024,50.82467927662862,49.89007048530915,49.90822751463866,51.757172509612026,47.66592693632431,45.99878049068028,48.07842422269344,46.22659493498079,41.96700728860123,43.32856766618038,44.05885618177341,41.210998569069645,40.50348489437117,45.29812011239309,44.20832321356476,40.091962181019035,43.73551170285521,47.5077613480595,47.68313213263661,49.95585029163852,48.59976931889735,52.88902328321924,52.45582907467038,47.40655175791174,50.56198009015726,53.2714097857523,50.61964492844752,48.970159566124266,54.95735091321503,54.86437719873188,49.849290273957855,51.53020007699151,56.69344110428262,55.44865618635679,51.72844168329889,47.36859000078974,51.81213475596216,48.052752633555144,48.33157293259157,43.06183066104408,41.93445944567274,37.35541183442842,38.22098863305627,39.5144146563855,42.80395389812148,42.37735337681933,43.02716899073552,37.76725232559091,39.39086044467763,34.509621637859105,34.29632465956814,34.604012289287745,36.29101631135473,31.924083113323764,30.9614165530894,33.0631256330471,30.828560373607253,26.840943843442897,27.06731622985278,28.56627209736583,27.019240781051927,24.719317566279564,23.196291835166424,23.54994929969952],[31.13820383735341,30.590015613068115,30.606944341816916,25.655716759765568,27.766942285948293,23.04032467639765,21.151680211375364,21.667626982078634,16.835217750480698,15.216820610982607,13.633492688840153,16.8752051814394,18.04028949832189,13.602456787804522,15.772042389269544,19.1432328662933,19.437317303155215,21.597059540196753,23.80463482497516,27.50687482941033,29.891422301252074,34.51195449483986,34.84497530585135,35.1534611431678,33.4859592755757,29.016229244655598,28.33708058728743,24.43343269741435,24.02432961941654,23.992669896323683,22.2675449621551,24.685282532284777,26.009389193293547,28.814325698382593,28.71813647049198,27.482754768726984,28.972427615995834,30.220278900468806,31.632418880717697,37.9917462050426,35.22217971016458,33.860329922189244,37.988667451498735,39.450330288589356,40.958744592534224,42.197728561943585,45.530323719329544,44.023649924454844,42.85530226960412,47.52061883076805,47.124722863215446,47.66361285750811,47.040092265193785,42.15374908917538,44.18362705828641,47.041271681957525,43.377822757677095,40.507354377010515,44.65955579469446,45.89520866914195,40.50927412327716,39.812049805692595,36.90136585443579,37.551080217186716,37.23796559086811,34.048884473762286,29.37931904028856,26.160278733778043,22.669890299913515,19.13008653599323,18.120213153744498,18.327834291555302,20.508966103983155,25.10122346154943,25.157043484799857,30.80188932309873,32.06667074767651,34.27528560738552,35.169752927461964,37.8180520448648,37.28326070864572,38.725715618374196,36.67728736712811,39.96433318134716,38.21824631497519,34.21586368805656,33.8510882055363,33.673164557649194,31.358879132628882,32.42713712367208,28.661809314522486,29.287027720576997,25.787147718930832,24.41215872178035,20.689057307234943,18.915824404723036,15.687658289021671,21.203428736760262,20.97881361551251,24.58907387926711,26.403645426418073,29.326244660091387,30.470535318746485,31.93330830053714,36.350532204608996,33.86705214529298,37.94957774702829,39.30177985118247,36.62621343326518,34.14294053287214,30.403717902920853,28.272843157201034,23.687751690963314,23.485960343797114,19.549308371396965,20.51508758531755,20.659853159055835,22.366280831399653,22.09136292780863,19.454853053824436,16.94057876456719,15.442448215597253,17.653453267474312,17.89459632299949,18.560915918890423,23.891449567361107,25.775687544493863,28.681656267752714,32.175425385186955,35.84767786311956,38.04337990411911,41.632664414402576,41.86095879342566,41.07095144108917,37.877272713808296,33.40778480664906,33.324279408555185,30.6750288651974,28.43934544001494,27.857688286843448,26.999904115821124,29.7678041906131,27.372699805367798,26.03913105595607,28.497155856768078,26.378109140362653,24.810980677977145,23.80216904789262,25.36831886019985,22.556355216479375,25.90208008038353,23.095834692371437,27.633842732729683,25.926834704490226,23.839971881389722,25.394532219778142,23.31108263167369,26.80854279159272,25.35941252664129,29.05374101741499,29.641114493198277,28.942171288345776,29.821705240178947,33.044819798584314,35.51497122088243,34.81243439153481,39.00263501089805,41.416489162037585,41.661392531335814,37.69200992284456,38.011192015759995,33.60326672835775,35.2067028415613,34.399764031949935,33.616809789600474,33.99447460238988,30.473040235576914,35.812109328210845,36.38981273332868,38.333940886194334,38.27367851972763,35.926598476706396,41.04823154440795,43.53567222713341,40.712939744369194,41.05933649451291,38.823360064397015,43.24786089806391,41.981898715954124,44.994957379796745,46.04174974493749,45.017686880098815,45.73907956873382,44.402373722409614,45.412289980145914,46.818123375076176,42.47507707359879,44.15830602324955,42.54129146766319,39.98029830752304,43.583200646384725,40.800560206482004,37.40179824462868,40.39913532719954,42.45317002443298,37.92062228882195,36.965784611320025,41.14032112257959,41.26890789248779,36.27819085775858,38.50999564961392,40.98987146655414,37.11907426223209,35.79067624136318,40.342941518384364,40.57676654374101,44.92292943910282,46.222292664408556,45.58175905145243,48.286160542021264,52.80654588317934,56.27456157536412,57.556700275487884,56.61489200987471,55.19021539159525,56.58786859954964,53.06751312116654,57.23090018429914,57.48871598213545,51.30204851362132,52.74801302330465,56.94098207297507,53.74459615824509,50.65652187800832,53.061479756842786,54.78362818278769,51.00473770242823,48.19302622814317,45.79979292428972,45.74141819697845,48.84432584366517,48.192052546422126,48.402991982901455,50.558117379116105,46.46904931189891,44.521311279788506,46.90947576504384,45.32667671742255,40.85126909025,42.13077121568398,43.25862991696732,40.54650203586664,39.551456022344595,44.463941876944574,43.68666702849527,39.53166055534981,42.91699646720601,46.76066836705652,46.643675957213794,48.87750721822062,47.360153655741044,51.544467109026016,51.148339766635225,45.90749885113019,48.92311841124047,51.583979232486115,48.893853879263624,47.00513443132387,52.98578532889265,52.86067131688844,47.709852865490056,49.24547576460002,54.443330530386774,53.16721185092292,49.365158896644154,45.01970697795905,49.379281749807944,45.609944105144294,46.21134829985711,40.8788059419662,39.897390094888046,35.446103451775784,35.99518498125048,37.12969945682088,40.26031265253171,39.775350628034424,40.67586892862534,35.41577016600742,37.035042606475365,32.13314437773458,32.46586346227744,32.987895490269494,35.01252042845756,30.8273764167917,29.440047286789294,31.91677566279065,30.081004643544198,25.61780968996759,26.025842501469455,28.12436588174561,26.724000247577713,24.481627158978583,23.151257622059358,23.87961379656408],[34.402122226976594,33.56947155563617,33.207015539565155,27.92180287398299,29.97301460216393,26.087503799979814,23.979314106397855,25.17282699656148,20.55959091001676,18.06935056589523,17.045034595341743,20.8150733322982,20.57807579332123,15.696282680312653,17.889648150099685,21.18598678187883,20.388944892823865,21.82145605781871,22.720800465203304,26.959943004054693,28.642777481509487,33.35469911215312,33.08644867109915,33.019648161052544,31.933220963440583,27.472756746253925,27.588452615783055,24.09604229786949,24.508971418204343,25.492361463522826,23.67248692692454,27.003499434939044,28.540986247362653,30.62643933794814,30.34962243169373,28.428722704908402,30.501525629171425,30.62761835395505,31.795600020040993,38.17324705044363,34.63656958686697,33.17119546706752,37.427786578869714,38.490568648770974,39.46263391747883,40.52895948153174,43.84253310005735,42.84224278742319,41.79916812891674,46.54361759141148,46.510924585425585,47.42892156786989,46.93226432597421,42.09049561756171,44.584645179674474,46.90133204663281,42.86733622514406,40.51616811786764,44.63485650855618,45.21156793480405,39.743289836443935,39.1968581260387,36.70984891096299,36.571705763245554,36.12863022117434,33.479038994226464,28.27399729316407,25.765931496017295,21.50578721204736,18.791862989682034,16.8750012094636,16.57488389801078,19.81069220211314,23.906029454458785,25.091185572408687,30.697534349736276,32.08863393994823,34.85014020120743,35.75714304518822,38.18004151241208,38.250044767646095,39.528447071146886,38.22972873347948,41.29477558263976,39.0729261508749,35.23632150268035,34.36055251783891,34.94716340865922,31.91682642920369,33.63904089432345,29.539017941496567,30.00510682937121,26.96999463990563,26.3630878303693,22.89780929566381,21.47944898039762,18.583104879861885,24.36507910098174,24.590165248269322,28.845691360181235,29.675973045370657,32.89671018183773,33.237251139866835,34.9073531657127,38.70146660627817,36.28660441091365,40.61391091226042,41.64414045942864,39.096868832235444,36.92103345834857,33.1070058488652,30.483978161673257,26.127188760618342,24.993606979058324,20.848891720087465,20.801797977790667,20.453579255617385,20.72338300020806,20.312712681443468,18.850858442705764,16.05416852829231,15.5082575568754,17.101245175073352,18.409552834980254,20.105276276584423,25.003033006716567,27.938279392560005,30.41363884586171,34.02166124032795,37.74406039274177,39.62580191103197,43.443984025796404,43.11167673719867,42.67233005379426,38.96087148216317,34.54444953239223,34.380565117900154,31.228928062328766,28.451442310058937,27.81400889880929,25.859527380245154,28.06033712698878,25.990899350526945,25.36639596179668,27.875850735681258,26.643586038437128,25.27972397828507,25.237482722472485,27.39688547751417,25.292210423231268,29.15894437667726,27.069104782155524,31.88064580973675,30.815335221464633,28.537799766021116,29.523008895651525,26.8989104451734,30.171324948882752,28.072477716808528,31.478226901198852,31.058095050670808,29.97901780768624,30.060914313724076,33.32044860579448,35.10187289492558,34.12195601934422,38.604425525498755,40.532821010877136,41.21354667667793,37.3095323928639,38.06424841837564,33.737099866132574,35.56163856107092,35.29667281557213,34.87179150096843,35.880920226929994,32.412835433489704,37.99386752200132,37.865770190732626,40.00298176229841,39.26073115555093,37.549982159712464,42.28304955197391,44.4109980952283,41.3389221229854,41.361217173054925,38.777512884786674,42.979619006683,41.15192451759267,44.62067934895973,45.651697491572996,45.14907831760618,45.959781656991254,44.929726033180515,46.25042862379805,47.82579202365746,43.63424030800977,45.774701481480605,44.39987629879665,42.2634943313857,46.140239249789,43.761859382380806,40.14055524189096,42.95884715596876,45.45845163745212,41.12409296569607,39.58398653848637,44.042384670969,44.777095326051544,39.5949623502807,41.605376930618405,44.415237151480476,40.82812668888796,39.05718069035212,43.54054795686397,43.424863713372055,48.1535799321589,48.66311171101117,48.319421219176235,51.32762225457495,55.73047864944932,59.38055721156869,60.52970499319657,59.81050599874599,58.22026571723903,59.65159413662006,56.11230719747249,60.02833118079528,60.197166422588694,53.91384266340089,55.28367314372902,59.19459768987423,55.88355242547701,52.748309719854355,54.94288283231617,56.425448061508895,52.67605875435242,49.66407286742142,47.78008734357853,47.94084680471738,51.28358633525124,51.08355971111527,51.50096276390093,54.03717968686278,49.928312385914694,47.709240950773335,50.49680758826446,49.19583841936148,44.52881167399847,45.74182100340017,47.29404713618403,44.739476045635726,43.45455408520322,48.44339534296561,47.972876652986415,43.781711460330364,46.86029435889632,50.76099071695895,50.33888829215024,52.55426391666454,50.878449057036164,54.90431184234959,54.52487328398297,49.08388889756848,51.91622287747967,54.46277308666028,51.70943473598466,49.527048199542776,55.44960247651544,55.21324632330536,49.88718110689804,51.22528878478607,56.418593855917585,55.0219427292505,51.09932568556785,46.773039761819305,50.8514377519158,46.991468546607926,48.141144020926625,42.77157722371642,42.19603317687062,37.97850007603581,37.88297497568154,38.8665243525783,41.663271165648375,41.19963251684453,42.61164001419543,37.461877822834765,39.05535082713074,34.19988591654827,35.39033452776923,36.18373958419184,38.6031446879731,34.65565418973442,32.82866548208991,35.687751191323926,34.30501811901957,29.439480954089106,29.96530857744852,32.613136270684436,31.39188943948565,29.209305944015078,28.02122677410195,28.929783747771225],[31.07481906134174,30.794248615001322,31.40687498193256,26.378785166473158,29.44417412835759,25.039220978959143,23.925798809453475,25.178304253866575,20.467685463965235,19.45406531098551,18.530073218697623,21.858049482282983,23.01343394193037,18.507990386750052,21.25429178356355,24.565715098880766,24.41073810451182,26.646484402099496,28.294388812038004,32.26037324244669,34.39422063274626,39.05643476450116,39.07089504839335,39.005263581464455,37.59287689699776,33.084983470935185,32.68986148036543,28.83352291381323,28.96654670286862,29.216399696181735,27.820413594652436,30.23162614712836,31.68855121674697,34.48287642964307,34.293594648477395,32.85544654883871,34.301774969651824,35.16798168503489,36.28006411663243,42.65734430158095,39.51803766633083,38.41569623404447,42.67622426078397,43.80089021768741,45.03959239882231,45.97718797982425,49.40953701594082,48.27020990414483,46.88818900136533,51.58071282904991,51.56619264177608,52.213186696054024,51.80765127314777,46.85419354208092,49.259609401626776,51.998487319028754,48.15327677724927,45.58403196260023,49.80348249969699,50.72079855466082,45.327343841754534,44.80513372995039,42.082509275858,42.39155298887245,41.95934130314932,38.9887378967514,34.08900976682418,31.185818727022763,27.305289928856165,24.143419565711138,22.68025064510755,22.57134785782061,25.356428513953098,29.76231511727247,30.346564830789983,35.970728129674676,37.32070200325999,39.71833286349898,40.59768464936578,43.12541072131892,42.66660077916787,43.891363960622726,41.92353992708077,45.00245094304619,43.02706537503292,39.24230493879943,38.954442885931805,39.08079681902003,36.683463945261344,38.00807716626385,34.16705484680555,34.70484496124424,31.30854457147574,30.065490165435843,26.373315066431726,24.572258921932068,21.36693061194391,26.82256344937859,26.37643708924973,29.652935775968245,31.77663810887421,34.25732562198159,35.60982309043802,36.58726898749933,40.81431825069796,37.9271103690439,41.87745333120361,42.84075648492203,39.78559266441385,37.71061504523232,33.596852206285774,31.896965131263972,27.306271382314097,27.075275499788056,23.614090481798197,24.078747867829655,24.64624309009411,25.633512213119875,25.8578371219022,23.904566927258067,20.982437046156885,19.52080888854695,20.696200825307244,20.999499226885018,21.55884040452816,26.767827883471718,28.49959166204972,31.74647885433241,35.2411300847784,39.35588369172142,40.85794550657623,44.736453702665,44.9915099065729,44.709767958355,41.08403868069132,36.770115735551464,35.88561154689367,33.46950132737806,31.069226264686662,31.040698085462616,29.591990150189524,32.51131962087634,30.71799701437686,29.58393458515247,32.413322086952014,30.771296806598883,28.946450563348513,28.273377286722422,29.715457816637507,26.799252432515114,29.98358159719156,27.250131173463707,31.882968682996275,29.785076993778524,28.340944780398832,30.160412222328073,28.195531448852545,31.43417193503143,30.304995483974714,33.48338612538866,33.826596995722014,33.551788216885846,33.742980192469986,37.33939311959882,39.25032615457597,37.87658535340466,42.300789954658576,44.33698810422808,44.47796458661453,40.43149555442532,41.1318139846493,36.87519838966118,39.05490823129902,38.58492192967807,38.17380391102395,38.732765892731976,35.48541223831216,40.89748825276178,41.28516870575378,43.08520679712616,42.674310999039314,40.105828084501404,45.03874452669345,47.38818763511276,44.41959424153216,45.137533982971995,43.017439930252856,47.33020927668683,45.54927977731708,48.58312067530584,49.32133911027482,48.504593109660995,48.87509990414169,47.41887296610492,48.35226151632987,49.46824217528163,44.954209829596984,46.724400830099796,44.7601723124281,42.556119545264174,45.90716313232722,43.38023446045017,39.817792314592054,42.241501105015125,44.414769209740655,39.87655671407373,38.24125325163771,42.432582682240216,42.90634739921364,37.46232355139283,39.27127720590708,41.81269181681061,38.044929863857725,36.110133027368036,40.451675384695484,40.75383987431052,45.26940637582185,46.40077126606938,46.27624217362824,49.05176194337266,53.78536311163089,57.07255811391854,58.693004747741035,58.22277173868279,57.046654210574694,58.786615203846495,55.57596605944858,59.73746595025056,59.57882939809983,53.39526664230823,55.218722818960615,59.15763934675905,55.640370220245046,52.802452319838,55.44309318547855,56.622570811794425,52.63415757215349,50.342406912815214,47.82656198849486,48.47852223001403,51.60587445112557,50.844045207300795,51.465105981318054,53.60702093671402,49.80979149095028,47.501144375830535,49.61887430374642,48.37239883891167,43.83518091743534,44.57392279716137,45.712250211783136,42.99630857900779,41.589213570847015,46.40031238693019,45.60202014502892,41.15953684492182,44.261995782914894,48.182600443582,48.04540577861297,50.65033919074401,49.467814176132244,53.59341851864713,52.700995604843705,47.44428476958591,50.80048837355196,53.05559733293447,50.110603953168685,48.51464383822837,54.49532766607303,53.84249983367399,48.65814448081916,50.59017651244864,55.578580025858535,53.834211665664874,49.97636976131057,45.44841436952143,49.43022383733106,45.348412945500804,46.01314112938783,40.73039560821239,40.337060039706685,35.884577073339884,35.88098541640317,37.41649323510835,40.47772309798607,40.50047897097884,41.85330661127494,36.977565888201006,39.15436025448988,34.40608976919574,34.453438838156046,35.60405722018787,37.59298325448279,33.81279618265264,31.843118622625727,33.837680651399715,32.40279787436738,28.245193932428343,27.573168101862642,29.955771669063342,29.164709825194894,27.318295402946788,26.253156341853455,27.22915437005949],[30.544933964828207,29.8962377741997,30.150031562303393,24.859697432155013,28.120442585824428,24.810590833127982,23.865144035614875,26.15834534452039,21.878266563816506,20.54793847265971,20.67207213970914,24.55689695158668,24.51141710663333,19.857880916278106,23.445745184159033,26.497065118556428,25.228270969777373,27.537286818023254,28.303322758921585,32.4703340144899,34.32815268537039,38.89644826492034,38.575722820412686,37.89966325588968,36.67663956174702,32.21719707965898,32.11817777843398,28.440381585914597,29.51001233783762,30.452833078119156,29.996554432279854,32.49171374963764,34.61734214268222,37.185701366187494,36.37553050327269,34.28500611772269,35.662053099429336,35.548988941357415,36.09046534396404,42.38210068250396,38.66715994679788,38.06223566080071,42.47940563634243,43.0087946453251,43.893225702199544,44.35314189334219,47.915492081319215,47.27560676231562,45.53570302021326,50.20560794762928,50.77690879969207,51.59368281877827,51.57962874242378,46.55959296619296,49.68872002758121,52.17950373756938,48.05292683789619,46.12099911252699,50.50675168406967,50.80887301211774,45.54342529439531,45.61631572527897,43.350901299610285,43.31075283280881,42.32258167190988,39.59946720628623,34.66880626205839,32.25788161907424,27.9991474646739,25.596970078681807,23.625062242712847,23.847898469958402,27.191003389800834,31.061747024200887,32.16793878702184,38.03624356722232,38.87550608485182,41.84507077655952,42.286980889952574,44.317760389012655,43.951042344600424,44.603207007329836,43.02456883847983,45.6121239312573,43.124151105776896,39.79468596262632,39.58478637683404,40.50177786187458,37.966606198146835,40.21683638988582,36.372956309586854,37.34532234464,34.19836737998659,33.25814213602888,29.329629016802794,28.18530102025568,24.694853377999433,30.021295009173073,29.39923198292191,32.96758781535545,34.37279711006236,36.44119964531457,37.32283817958675,37.841608315748815,41.31940497451627,38.12495343301255,42.12347192022607,42.4953458785666,39.3135543815543,37.817402060276955,33.438640941043126,31.66532690156947,27.347233783059718,26.459071257341826,23.446179242814317,22.983917291838896,23.871227972446754,23.86177067216577,24.849800625946955,23.867011391443597,20.51254611481903,19.229929476971837,19.053560831998652,19.739975646935694,20.733451057629704,25.366633456312123,27.69370218604854,30.753854342866784,34.265860304254275,38.68189279146449,39.435352251778134,43.63694418568814,43.515737195757545,43.87337663627378,39.609514674074084,35.51992291739972,34.00533076407505,31.50688581583059,28.77294775644819,29.197305905735753,26.930961186291945,29.83195081415652,28.797651572707153,27.996322532135586,31.19308029418235,30.36415810891395,28.327618906551713,28.438210507670348,30.040072876291294,27.587886306313077,31.03102868723498,29.144502052042558,34.16447768841074,32.76609220471315,31.578233028356955,32.8229629529669,30.365944469604514,33.06377420090176,31.756780017611145,34.09368190618459,33.54409650843301,33.58828556097541,32.672832696694634,36.64520540135872,37.67493131528505,35.55206055531058,40.20836983125379,41.71285757317466,41.891656749303564,37.863436558261945,39.055041874952934,35.044098584382006,37.83589432577777,37.960598233523704,38.15301975292542,39.26296830705935,36.457897445571916,42.0650847512558,41.77731657903695,43.45912895336554,42.27838186709028,39.83596023944723,44.29403833482697,46.29006020523863,43.0925699662103,44.06269594073017,42.0173112072144,46.08035912202972,43.60019569863707,46.71225521213515,47.12195693403053,46.702816843857974,46.78869786260285,45.40159951065759,46.44162079861346,47.447264713281506,42.965597528000444,45.10452039542931,43.153639665440586,41.532335277307176,44.969028665214864,42.99603675184673,39.165623822785,41.12212036773547,43.786043076885996,39.51439983800422,37.022550851039774,41.47793269399521,42.765594805153526,37.031115547414345,38.453833390822325,41.39324982313469,38.07316371604612,35.499102333221956,39.673618866651374,39.530365585743496,44.49631786034453,44.63805471500837,44.946089177116576,48.068552694326975,52.675489421730546,56.12350745877564,57.654108626934274,57.582448705333405,56.3125005438406,58.220767388042134,55.15262892799332,59.034754819992784,58.58789161373721,52.34317578978612,54.265976404845006,57.790575879048035,54.034447780789755,51.29173044988494,53.86040296148766,54.552542408000285,50.51551225569988,48.33734327680109,46.196888539819604,47.41957401407346,50.74917791750705,50.365163171612224,51.426719194797215,53.96332060402758,50.344418462214605,47.535582534212075,49.940708358283956,49.22307486882381,44.44888984216859,44.83784808752276,46.51275049738457,44.03486596234449,42.09593665321889,46.93354407580585,46.57658802826018,42.056811098542305,44.615283026579036,48.59783878025915,48.034907210771685,50.69728483884084,49.44247009452633,53.3287286936594,52.29102672228474,46.829820300108985,50.072706058586796,52.041924940607046,48.96837065063389,47.168980832237466,53.049679837522376,52.11293908799221,46.7767108492763,48.640835087834475,53.51700654013489,51.52125845024949,47.55664021745439,43.0315491724547,46.62607621908445,42.424418843485626,43.64222507633244,38.37717446582673,38.527925927414,34.39273771733637,33.58759687332161,35.032421881340774,37.72308630529064,37.917550052781166,39.8771780017259,35.31556493568781,37.69756779436582,33.13995607830926,33.8748729566302,35.57742181221043,37.96671382535145,34.71936579115231,31.993653185223277,34.23773011806243,33.56417474123583,29.066713833210024,28.231542517520747,31.429622818658437,31.090659580299995,29.524014858722367,28.821489591847104,30.253934151410427],[28.006207439258365,27.919005917210765,29.087107856522064,24.206364251409386,28.199882764707212,24.353613067337783,24.21921715074275,26.293424799040537,22.040475333181544,21.876540264464328,21.86695893442968,25.220390709433723,26.318909785403708,22.072354989604012,25.717416561714128,28.782714462885433,28.1980562709142,30.97553764125591,32.46361923267438,36.38162559564417,38.62594391728273,43.1811388372419,43.162134463360665,42.663102193436984,41.14409419427462,36.65030104802779,36.109292665628736,32.16232431803986,32.78505145798725,33.06513615747456,32.68837006653193,34.536922672095315,36.46898989898465,39.54545671001337,38.91244871967045,37.298274895591426,38.253126296311045,38.87986139699793,39.52362162483895,45.79934807466149,42.54363758447115,42.06872162091853,46.43498856563248,47.16546012954945,48.34491579325902,48.843036825642415,52.44628031070913,51.561430146764266,49.671128308117574,54.29000675146846,54.7171451433628,55.28136945484973,55.24120523649644,50.17033898949058,53.05184669189585,55.909223112264186,51.99980531060783,49.75787148125442,54.17575514269351,54.87718790212599,49.64169650174126,49.59747053238417,47.05677651973548,47.433220761298664,46.573650824063265,43.550438713277735,38.84670642301899,36.034223710928266,32.12268867233179,29.2305115240117,27.668510616431885,27.94698625404474,30.87608484086441,35.09658435552054,35.667241204882416,41.51543891547944,42.41682320963823,45.01410326117812,45.51655838370052,47.72209034779545,46.952115530836224,47.68765308991685,45.547350401942595,48.23621088687623,46.060786656307585,42.682733037868516,42.874202676692164,43.284911663872144,41.234232404280654,43.01277930621203,39.36000741207264,40.3115505969917,36.87423356117878,35.45536463787146,31.444166759758023,29.965357244765457,26.37742222284694,31.420463451451983,30.387523118043077,33.16073987821269,35.561572730590974,37.141780671835996,38.824010899045604,38.92246402211416,42.82955943732502,39.386212052878406,43.03893315772941,43.48011748159077,39.971208573370276,38.455962794756175,33.97361669021978,32.95511910573055,28.50601487812278,28.45013132723411,25.886315389749726,26.03054556320541,27.410225986666727,28.181854578892086,29.323385587997397,27.730766988647343,24.47189169124008,22.617491184266193,22.603647219106428,22.48041440593087,22.51821441517588,27.350687950424522,28.553886664760558,32.17408756476725,35.525590358867326,40.104969488555405,40.72783387226854,44.84941326905639,45.27370134122404,45.59614030525474,41.60052356543042,37.590664812694726,35.70722584007627,33.84186006363848,31.54195868120966,32.27620137053102,30.671928992930667,34.03762239896948,32.96811657324982,31.7218133276437,34.98918297652697,33.65822697550451,31.392011226580042,30.866766685846493,31.900125639580676,28.825424080534805,31.63741209128999,29.175314686353932,33.88772015526498,31.646875760150664,31.08604343373174,32.98729629965345,31.132007430572163,33.84538207535841,33.28744118411807,35.596034218615905,35.80876778550728,36.346524677030786,35.8055521941206,39.87371586148842,41.227086928270914,39.05418640432316,43.546095177204876,45.27047604484354,45.024868896397294,40.930843347052516,41.928418571710864,37.95564992849839,40.809504913741975,40.630323169601006,40.68385704442874,41.331464715266605,38.61648232193689,44.00977928309744,44.243486313249434,45.69296342530379,44.943521898237506,41.86167573159687,46.535900211112065,48.76807018857834,45.73397585610212,47.15144087862844,45.444517949542764,49.62850063841933,47.39443191315773,50.13257096150956,50.407488213069364,49.64475629740189,49.46839384390738,47.74789746178982,48.44981173883671,49.11351894718951,44.4191431972076,46.15211887656094,43.75120226273595,41.96642637421304,44.92391514404622,42.74143565450543,39.06133157455636,40.76699178400352,43.03499677010686,38.59782849978402,36.22591704406557,40.349698276486656,41.25610640824045,35.42348949858948,36.72490469454456,39.33433228639249,35.82387426435719,33.24249884303183,37.27842312558489,37.57650920544275,42.235202598976954,43.09453267751411,43.49518755587285,46.33053771543647,51.204390032332284,54.303261536162765,56.22709067997616,56.279133016808366,55.37150978443284,57.482872439472494,54.66991063889733,58.778517025790876,58.13290930457697,52.02396283125169,54.27492371727008,57.88675521889575,54.04432121882181,51.54057427118676,54.46039864815686,55.019120521698774,50.83457534409959,49.22726091336016,46.51442185372136,47.98949387853899,51.074197905464835,50.16819369800956,51.29488297765326,53.42424947075635,50.047233315122774,47.288491090482516,49.08373730690848,48.322766523088454,43.74334297540337,43.80899384674216,45.04107085930815,42.42150605642104,40.48968895000695,45.12673817496422,44.435886087454385,39.76495347158793,42.400979590278226,46.356113899732314,46.104019414169,49.05518610488392,48.22450161516987,52.205422025033805,50.78565670937032,45.55777346904318,49.222777732825605,50.996401559530916,47.81567437887043,46.55468049458194,52.455663457984755,51.248231207361606,46.10348621977125,48.453627008207675,53.14960604476822,50.94197323434453,47.086080390989444,42.43418440084595,46.00665724543132,41.684016123634265,42.35198231848451,37.207875476709916,37.39582840296386,33.04948550542631,32.49990840887825,34.42031021382595,37.38430700865915,37.94494127861269,39.688841329137404,35.35165898062184,38.124183031098276,33.69075321839938,33.344018093609044,35.20167385692213,37.13369946354256,33.987822585701,31.327197126051033,32.77466562895235,31.96030482414334,28.19528007928642,26.406771083564372,29.20745218953737,29.182345550538372,27.904193560452125,27.283294378909417,28.699180519569545],[26.577159751147786,26.036243708248758,26.739268185286164,21.699579509512454,25.7818436730681,23.08609335038423,23.139659552454194,26.11370841185774,22.423075030182186,22.063875348955705,22.98853090853202,26.70018308232366,26.782101578923854,22.630975970381876,26.945406194582432,29.690184440562145,28.24113350681709,31.18756634678254,32.10732646705257,36.00687555674764,38.141973020981354,42.516067525678764,42.34612922552038,41.35124331170333,39.85024847157654,35.47116899182212,35.00225301526214,31.204707052973937,32.54854869774887,33.291713087894074,33.88633700028061,35.606882392457756,38.15392354104618,41.1069958475201,39.87662638873963,37.76994717905048,38.50825553703037,38.386892927984654,38.49810798518161,44.595791683728535,41.00001426554948,41.07525589924568,45.5152980479708,45.741396070200295,46.714474856027216,46.77271327377886,50.48222210917872,49.95507512588221,47.674128944740936,52.201418988086125,53.122663216876056,53.74654151327741,54.07751603281693,48.96737288371811,52.45193676886235,55.17809082127477,51.113054889413235,49.40740314485521,53.975622497162014,54.22157743267819,49.185536090139486,49.72423116524607,47.55822227886156,47.807505567487254,46.40717247995863,43.50329127678908,38.97917257064257,36.49897981970575,32.47794303506381,30.169859682208678,28.369379849648865,29.11011690546426,32.26383054973113,36.03935074672735,36.81532616623831,42.8814820273405,43.19643730731644,46.224356006579576,46.254946053540905,47.97864844646122,47.15416927930563,47.326484089553645,45.43691636021123,47.63824707860944,45.06763872512732,42.16124971279315,42.55677949125267,43.59391642648803,41.59905158675567,44.161550845723596,40.62334164403742,42.0662017735121,38.80278188128751,37.54035459960981,33.28663172435955,32.42838655950619,28.561671679315833,33.34600165148174,32.09490776719364,35.052852029155396,36.79794548663617,37.90163672376462,39.19271441887376,38.79469240440655,41.98314402623019,38.2658913209223,41.88323160822421,41.77111513719463,38.16568742416454,37.21237693607197,32.54931868578085,31.546680253887068,27.448510968139047,26.900943104037857,24.93877933603018,24.3755821986106,26.167754346287246,26.324375331663404,28.23517799275357,27.31396674751681,23.81858187590649,21.98358066369318,20.7777534342309,20.745928809931495,20.962779628916763,25.09682145583109,26.665890806812428,30.085472338700846,33.36962744393654,38.175934794678035,38.08637036259906,42.449109107403004,42.58691846107773,43.486717727783805,38.99134956586669,35.25945650640595,32.769788183660616,30.972613266488587,28.518235424368218,29.734746667592297,27.651539129526274,31.107654206257546,30.73992347716949,29.6485387867842,33.20392592233322,32.49290363582144,30.011700043083167,30.073628852447445,31.11981727724293,28.470664622277205,31.40145867632222,29.774106627825002,34.75820661111717,33.263175883752346,32.92877469240935,34.24515094531789,31.983537619988322,34.130314532351825,33.49634811250036,34.95686583511711,34.44816304630619,35.39040586484804,33.917399871832956,38.29325119013446,38.90296281514598,36.06496595737833,40.64947855697431,41.94652597025489,41.61450125649488,37.56955621927293,38.943094018066475,35.262658779243516,38.65027491243273,38.954095225903785,39.54608858859388,40.61637445134917,38.38422000530495,43.85721762839134,43.53647397379772,44.805409614700245,43.42304323437579,40.37149460073792,44.58246925879159,46.509240310887265,43.32975815213883,45.072583316496456,43.556062581601914,47.498503190565486,44.72879280930926,47.38541089404703,47.32604020987352,46.83755302216954,46.34901881873765,44.64101712678078,45.376732074828745,45.8929931353006,41.2443743741554,43.25548979341215,40.86341920107468,39.618182468220965,42.61882061509344,40.96692919727679,37.08055015197574,38.34406084389409,41.05312013289775,36.91959456744238,33.78510000551202,38.12919378970704,39.80572844711845,33.79128660585303,34.74147553884829,37.7338822435355,34.71002490793775,31.58448703152555,35.451057234896844,35.26334080104046,40.334728723609324,40.203804205115766,40.95576616120764,44.116464680545,48.81003024171208,52.08994997695796,53.8644739344969,54.244255551995266,53.22109350486646,55.45483995155257,52.77120504071356,56.598263571962455,55.70774522984991,49.57203180396454,51.88931528793739,55.11437688737433,51.08491687016477,48.67519549734285,51.51917978266765,51.65145587097623,47.44531299924722,45.958289066762,43.57723676533862,45.55735010574139,48.79558962758565,48.24012228893926,49.76065761344729,52.24902851738816,49.0579356286665,45.85660807139388,47.9257774297374,47.667202001709285,42.90025715027842,42.658181803266665,44.41704352157288,42.06507632831737,39.65783772074688,44.29418131603044,44.07049849986265,39.40823222649857,41.49616995970523,45.47427504163073,44.784480486474514,47.72155478174384,46.7831284308643,50.508753153591364,49.01104293837504,43.61080252957332,47.10777714733359,48.63437697835911,45.372428102754476,43.89380704791746,49.67114987779454,48.250317480058776,42.985170445222764,45.23364276636522,49.820946184018354,47.43208305473652,43.4940261098858,38.87783480208577,42.123496993333454,37.7363234272512,38.92304553759986,33.801483805875534,34.447024693784115,30.451522283228655,29.169670233021574,30.948273272173584,33.55514741484606,34.24250553863317,36.505564157246134,32.49321351607364,35.42559344934102,31.237647509664402,31.523290994126803,33.862503530444805,36.156359632385495,33.5637411331536,30.235445039415247,31.945325566133704,31.883404487964338,27.821142188304957,26.014968050034533,29.5735052467316,29.932853359829533,28.913766105916793,28.656454596995047,30.47662431181767],[25.275101257245975,25.130816193524034,26.612863111159182,22.19253355854013,27.02256820427419,24.804206015743148,25.797288415603944,29.026273294928327,25.81204160688444,26.250938156353673,27.448988494367907,30.85627456480468,31.292259683235514,27.50656186715608,32.01634133941514,34.63015978964006,33.25478680098387,36.476384606806505,37.49842738369261,41.25952734711927,43.49974182549489,47.77187660589883,47.64917283837249,46.49371525586983,44.90742075476701,40.60263432396396,39.976409451514556,36.15365737436436,37.56681866143431,38.11684786250156,39.119251386234225,40.407012809876605,43.04545580425328,46.2445947812011,44.907289657912415,42.89329232648454,43.285045785908615,43.26779353379408,43.173818798169265,49.11298713114802,45.63003000614676,46.06108057780179,50.48427930353698,50.54827677723741,51.54463443281339,51.36103431052424,55.12962194520792,54.702876089898844,52.12364012371275,56.5374645728425,57.670596611061484,58.17860420483468,58.703657865264844,53.57522941700209,57.206512269267,60.072555647116545,56.067558244605635,54.461062148616186,59.0976976829527,59.336058137328436,54.42263555593029,55.14839266622077,53.00535304959598,53.37734119449091,51.836524974694115,48.866340740564574,44.5103374063165,41.99632106838327,38.07977988986235,35.764338878564566,34.04088332563534,34.854915274229185,37.957511696611874,41.74398297997932,42.396580519351886,48.498344544436144,48.67585529982008,51.661921704220184,51.56131250940494,53.182490659305365,52.10814680474358,52.06164922637778,49.94166580201609,51.9404815405517,49.384139610614284,46.724578754520344,47.46694380085077,48.48006892328627,46.79933600191571,49.389861820183086,46.001619369635456,47.56784944496254,44.21919813340956,42.7603549663286,38.41199621184538,37.54314089410985,33.57585873545641,38.074324601471105,36.483217360866185,38.8952315175203,41.076653443346785,41.56363070353073,43.26221118048598,42.267154771128986,45.337196375318506,41.288237806709006,44.51523359969674,44.07519401761566,40.1451131782923,39.60446100432382,34.81871487208519,34.54288049734871,30.667174369327796,30.50345789411937,29.250541057701803,28.722251702466085,30.964941533624703,31.182895593316886,33.48595255310127,32.600121129829176,29.10136524129986,27.049037997520358,25.433993050243743,24.980861042046538,24.62526573226025,28.30409318326784,29.088913949697588,32.764578374349675,35.764196887743964,40.78469691531747,40.0275411837302,44.42917235567187,44.84871301303957,46.14527388771425,41.58257447844862,38.19798193879753,34.97887355343558,33.83625746019547,31.680708353139714,33.42882429208639,31.4998437149529,35.19822962196834,35.26429013893905,34.04313825530661,37.74387437486393,37.08343709871323,34.38700658279613,34.34165197167854,34.967190771604855,32.13595093024191,34.544606895550494,32.93826849063141,37.694924759820985,35.867947022827686,36.22324608961045,37.77710742939544,35.83385311154921,37.66239569064486,37.581309127732204,38.535362752335324,38.19897781477383,39.71028993257708,37.976859273144136,42.536648586282844,42.89082775545542,39.60561511007037,44.06872270443275,45.17666686875823,44.469783517907736,40.483396459567174,41.97646737457106,38.608189066046975,42.35161697109966,42.740792182188564,43.550286778373675,44.50965295900774,42.63433685681527,47.93711868586657,47.69661945974917,48.677567515849965,47.24831620151331,43.76029650430995,47.77961295286715,49.65944995553197,46.54817378381123,48.83154540144554,47.68622245818526,51.51050657247733,48.570351415612286,50.89117462160862,50.480256201713736,49.94967696604469,49.01327469750682,47.05704422346634,47.51009013876702,47.57419786844766,42.8319050803111,44.6443298567952,41.82873244547435,40.904961633253365,43.36572938538581,41.965709861974354,38.148495413110304,38.705606290746,41.29595298237678,37.316938064820086,33.690145611235344,37.72789866044092,39.616083279891534,33.427648064684576,33.83645066205916,36.697587555006415,33.950080838796865,30.32682735968905,33.7091767912326,33.65405676134161,38.64130393061471,38.46021375505672,39.73520286429972,42.795449826408834,47.612357908481094,50.561953573931376,52.709131956408065,53.57782538008848,52.911650836873285,55.48377774167914,53.242120938576875,57.042000672684345,55.704424436396884,49.77050697289862,52.498075749150665,55.4327276327608,51.169357000574365,49.15463953087967,52.283885057388204,51.855814922480384,47.50997793489257,46.80277330489063,44.139862038305175,46.81680737125697,49.88149670725024,49.06331841083892,50.96292896195299,53.2676238516229,50.519661113357216,47.0674306086649,48.65449185386089,48.75026854353066,44.11969095057597,43.268775710282476,44.914009453710335,42.64713966384061,39.89751829069811,44.207449583205225,43.96617039069445,39.1925532236757,40.85729868321883,44.76128220257472,44.08823476456139,47.3501360019115,46.85676721209059,50.423999244854265,48.38844121287431,43.19582514667217,47.01425967390889,48.03792559064515,44.59587479619056,43.612038213278296,49.212348016048914,47.23565366519143,42.165892629217296,44.894641918104945,49.08104544652875,46.23724762677067,42.40625351556493,37.733867482246,40.491107863586606,35.911585744082316,36.91811758184442,32.10474663284414,33.34438123291086,29.541931710921542,27.812209589181982,30.063230553051355,32.55351985717088,33.86434352397851,36.36221309410278,33.04494491197728,36.49073024646432,32.758528021826855,32.38478522924076,35.23094735215488,37.2540846804269,35.25214273045919,31.58101900795034,32.53409336431678,32.90920907615356,29.56801072686997,26.74097460455599,30.288009325051576,31.278534726429346,30.77942542321636,30.829056059930387,32.804630706694645],[22.374204474990012,21.594209633575243,22.287312479643813,17.637756694687866,22.190994374915782,20.719814842900114,21.668188931877037,25.375638982942455,22.682096980951382,23.026498755315583,24.867534298229188,28.355417047604007,28.124184966463083,24.68926707852043,29.56898226629233,31.81753149631049,30.01566735516851,33.477371603009836,34.43754619633199,37.925450066594756,40.30513128705104,44.350743466067335,44.37027009201935,43.03761371171966,41.2157872772425,37.04485243712492,36.17875705188913,32.40931902872361,34.099937210747655,34.749200928503704,36.577442758117535,37.50956950804707,40.584806396267766,43.76992032586818,41.974180917352115,39.75955702989755,39.81673348890647,39.50300680114153,39.0838487262215,44.80920882271819,41.38324975595798,42.23387049253761,46.61364112844947,46.46674040151394,47.53086930094697,47.14228045462327,50.95796860387818,50.54703378567388,47.69033872801331,51.98242349041062,53.28581882726683,53.69750804089685,54.43236143891537,49.29897933141403,53.190397990179456,56.10785645579979,52.14786458057803,50.78126663329125,55.50543826521365,55.631908656712596,50.943786053270706,52.07157741747337,50.106140138035485,50.6759313282849,48.749554324485274,45.69446603081158,41.743720646232255,39.28496108197518,35.61314997298652,33.569664366303165,31.969015852194445,33.349008082844215,36.234477298438414,39.743438667107576,40.16574064695615,46.39402845224637,45.99261736921915,49.13783132553956,48.61782270904893,49.884129973934975,48.59786156112452,48.15947012558415,46.07353326938202,47.7387479954016,45.042958631156196,42.71632140261907,43.739762110883156,45.026230932698425,43.616275059080955,46.651004764195044,43.51665369998837,45.5608458805553,42.29289908524587,40.807280880703644,36.28057197713011,35.943217736958054,31.779050830228535,35.834644585170615,34.027079944950266,36.492510101545406,38.14793216961745,38.23478270182581,39.66196876775201,38.317444932575796,40.90975216348064,36.753060729534475,39.94173725249096,39.22914721572742,35.32955286250977,35.06347621278388,30.25767641147326,29.95349108853336,26.377164212592078,25.997114088260723,25.277790797856238,24.4956339463855,27.112909463373256,27.398709551847347,30.222595917718078,29.453483886530424,25.979577675812656,23.753708889751604,21.494910370259387,20.795511909284954,20.331855172074473,23.460245967842305,24.361042092621613,27.850357080432044,30.77594268622127,35.840342455791436,34.80881795086611,39.278248337518605,39.56425739232766,41.07226626607878,36.352043603411595,33.12534168086688,29.676555135535956,28.63007280800916,26.549536008355265,28.55964732926904,26.76556709490675,30.673888365263196,31.021715882796496,29.667184878159034,33.464577443138595,32.97918833096271,30.13418713723565,30.288994294666573,30.796597153302297,28.263594838661362,30.67849591976271,29.709001393913002,34.5838326917348,33.47692317282061,33.87993191248004,34.90134177881903,32.69474079783981,34.072048237236295,33.98347185645005,34.3376864148547,33.65809784570359,35.500466661907325,33.35773170792314,38.03638212616886,38.11660554085308,34.58742119587978,38.96372653274041,40.013236250615336,39.14710518125443,35.18832081433723,36.730157645030744,33.523346238703944,37.46783570844183,38.024645871213814,39.1001481466493,40.223555288229726,38.71505700444862,43.95271950305383,43.44169041113815,44.25465401574685,42.55629539098865,39.026226666447315,42.79325774419144,44.55083859553565,41.42958919240797,43.93858683038295,43.012870875855334,46.72684333573915,43.68700680443833,45.802330844540904,45.24511514510196,44.71208847870854,43.63681398142734,41.65398728375911,42.099553473485415,42.14145929464389,37.43783573355083,39.369362587917614,36.66070513012596,35.92558677432998,38.5451369084667,37.38675429257748,33.45915884369691,33.98394092895727,36.86968627000281,33.067271565983944,29.18733612847134,33.46842453214045,35.765481142515185,29.613435061560644,30.049786732184984,33.234873502646984,30.74879033202677,27.059748765902906,30.569807307643455,30.063529382124074,35.354837581913536,34.54264963868449,35.698845426217325,39.01194332958525,43.61109958077144,46.87594199194069,48.68265991883751,49.47684548469117,48.560160159035256,51.039052222470396,48.70075603538349,52.3336665390726,51.04671504896826,45.03373237183184,47.63455662255918,50.472316779201776,46.21730945310597,44.10934545803788,47.109381131716525,46.69138847133701,42.39364236485672,41.49443952314594,39.05271787743249,41.76471632572294,44.93701186775809,44.39709865812581,46.39954827350815,48.97919814310184,46.22843935938909,42.59366173430093,44.51789513868023,44.83080695958032,40.06505461270011,39.2325956153564,41.29426700919824,39.2233821694394,36.29858120254602,40.71509387833968,40.854439992547775,36.21520820438298,37.648501964036654,41.5689720395668,40.557757861360024,43.60390640778976,42.81883399309168,46.264478729373934,44.460653539368806,39.07920018636081,42.61164313071773,43.72281411051332,40.3425312010967,38.99238298550608,44.58716640190216,42.78744069249711,37.56774531988648,40.014168089241174,44.32979610714827,41.6490959896412,37.73005274479105,33.110038092498385,36.015613112727934,31.537728072245862,32.887294757803616,27.896603978015673,29.032284770171994,25.384740298461796,23.467262347032552,25.36803025356883,27.74778384596289,28.819946059541824,31.443639771457516,28.062485955381693,31.41888574819593,27.75542026544431,27.939711039593806,30.905101249402353,33.23223867613124,31.48962968398786,27.508201936214057,28.90893989422588,29.697675564128364,25.971983807782088,23.59538048737054,27.666983327428113,28.68102979787691,28.239398008717107,28.50201597711661,30.7390846357335],[24.74410559631315,23.862858506262207,24.415229029843154,20.15870265070285,24.59891561380745,24.096928344602873,25.17010427797936,29.171506034556266,26.804623189351716,26.963388148654204,29.017630965761178,32.60261525826233,31.938953632255213,28.518708442862742,33.437591480103535,35.584557229491246,33.383571996766975,36.677299905233234,37.12489791786419,40.655804187842996,42.76513213508821,46.68168885288033,46.45933394362044,44.79366497412226,43.19646667579042,39.18567467553099,38.580311857646755,35.074585170902324,37.19038998681672,38.185584341562134,40.23511503230091,41.30314021863344,44.538246857804424,47.540981566156134,45.5686116758819,43.091676557633996,43.19200667453979,42.3707231310892,41.665149946766114,47.1982601136752,43.478085290030464,44.572639967906795,48.94561238677259,48.439505195151966,49.22192016511254,48.52409293921282,52.33979509581006,52.29539142987455,49.28102667836274,53.47147131605357,55.151259665894806,55.6843971337943,56.64907908651543,51.568534994433655,55.819811805935004,58.517539795145424,54.43459137914888,53.46082335768404,58.19363063212796,57.94390147832861,53.37742899820018,54.768323246731065,53.06867638153392,53.37404357243419,51.23594359118267,48.414851748761755,44.44800563259392,42.32095900502916,38.497821193072696,36.843511585659634,35.01631774090316,36.348279795556195,39.48008649018889,42.70585659929025,43.45574163525641,49.66337696603543,49.14061649562871,52.51483053297783,51.86329556882033,52.89919265201037,51.73986721879159,51.04074956875847,49.23088239379542,50.61302581655183,47.67133988371522,45.64203666121384,46.636249953332204,48.30807884774941,46.78317962068302,50.173578972870516,47.018951543023476,49.124998698061034,46.01403497697084,44.72217671370808,40.22120674876233,40.03416573322722,35.89918737352682,39.9676268784406,38.207745483735415,40.782553261572154,42.13651070658757,42.10791694372095,43.28076181472354,41.76808410443163,43.888759546549004,39.66185813676966,42.75255095580659,41.65423360384665,37.76045805095984,37.92505135227488,33.13882244658186,32.86930801484686,29.6536507456942,28.927527232935407,28.504678552433784,27.24688070827118,29.853174263716635,29.486309075758925,32.55525857481958,32.36786601828976,28.86852743641798,26.932614257723895,24.159821560446712,23.756335121072944,23.57474832277842,26.024846163737603,27.177522689210335,30.350487263900362,33.101693218568904,38.191042585887025,36.570061615022006,41.135226725355054,41.17040478782135,43.14723889455134,38.10839236882674,35.21137084532582,31.342052064351954,30.38793189637588,28.21211085574479,30.50660440845895,28.205542108554514,31.878325173789936,32.79830867422873,31.761386258376593,35.611249734146405,35.658557146463515,32.83153718980085,33.43039049636668,34.01709679196734,31.835913326793545,34.27023426321147,33.707191318713654,38.583705880136634,37.73531716855387,38.21756932175286,39.031879497808376,36.68572175202898,37.81731607422943,37.62878874331362,37.57827481378655,36.41283195937144,38.362211662219515,35.62336576758447,40.36791278057653,39.83871872950298,35.85184248228953,40.237763644332404,40.80269214018166,39.9544293154248,36.15622543842167,38.05812544629628,35.2016892418398,39.46286874783298,40.40602168299271,41.825063493130365,43.23877017495304,41.98905151899982,47.21744248732502,46.34626994741635,47.08101456954176,44.95168297527206,41.59253937522016,44.92871712038876,46.390608420387586,43.19232698992731,45.83920985726893,44.9898773929643,48.43355358695716,44.94826830655289,47.05909732316989,46.23419446924034,46.024272426617024,44.70539034889021,42.79832568294246,43.276078140997576,43.154371070691724,38.59811385434173,40.73202827764709,38.03602325197306,37.837678689542656,40.33297392201615,39.6547968389527,35.693315835489436,35.70847499412065,38.83323348529069,35.39007241473185,30.932391862310283,35.15978814267647,38.01299379246222,31.869197135325564,31.86018628771655,35.170067727627774,33.168359592447956,29.082078260863398,32.14608231814743,31.344648201343347,36.764739946735226,35.15295536887952,36.795295734448445,40.257556317665475,44.67712647493641,47.90154494343984,49.704355790305364,50.90750580292317,50.02648734982143,52.65624011002345,50.553252510673644,53.916760093251845,52.34806050252854,46.453168128363146,49.15710908258587,51.567877808517736,47.1545159312802,45.25589135375956,48.1923879502889,47.26677554759799,42.98568782389733,42.37926687757283,40.25150742755032,43.467077209584005,46.678621964182206,46.373182122756376,48.694431634387506,51.443859575633304,48.93011024513444,45.02744000599131,47.00590903556102,47.69269614043952,42.92721184937728,41.799860961666674,44.10956472056389,42.24515822601163,39.03476507678403,43.26803852572825,43.65930070312022,39.08465329332926,40.0508674553333,43.88077528278816,42.6254680709335,45.709475658958304,44.99460424659768,48.16237759718506,46.17313874209093,40.83565499830781,44.264681279471056,45.01624034357815,41.57524236547698,40.22572110365673,45.557918363189295,43.42049552908239,38.25658281848157,40.70731894642478,44.7241711424858,41.751267160351254,37.85743615064163,33.35301250745691,35.6490184699524,31.100212490768424,32.901039668713175,28.214114917777128,30.005216228974916,26.886504356809116,24.186695772740958,26.04357902291824,27.895391757433767,29.289392062323657,32.437416161913355,29.65533062925026,33.13204715651484,29.888547767394304,30.44422052620786,33.72097683994349,36.1559556699719,34.8748172520796,30.595796713216338,31.94849428182605,33.192098688265624,29.571320299720547,27.10427150666827,31.342232873632586,32.598019182356715,32.33842039043875,32.74152138685636,35.05183440317566],[22.205256160977946,21.163170243308453,21.659037863739076,17.94867204378185,22.459032594064958,22.757062478521156,24.34273552232692,28.56278536145506,26.847489647907054,27.445994200273056,29.885901762435104,33.21646627718002,32.495320067896614,29.587075012382613,34.68109453080993,36.52513002825329,34.28023734150183,37.8570943843662,38.47798146114584,41.680825287260596,43.995176873120975,47.68936475431859,47.670332789140076,45.91343692437082,44.05855697613193,40.20146662991974,39.27276318443158,35.78329110403092,37.943373209543765,38.761709187129924,41.45689249292392,41.996987937064304,45.46161119590439,48.62155546603681,46.37569687586788,43.94153543972606,43.60141187382758,42.816306739002435,41.86066111151427,47.10938802203773,43.64904420843021,45.16675614183761,49.43863914878134,48.80071796051927,49.720028842042,48.82082322210419,52.664177231727805,52.58806619250986,49.26439764675455,53.2668442434852,55.07730059527361,55.424834673659525,56.584019767262134,51.53477439551991,55.9053591525382,58.76906762751373,54.835665251079455,53.979409232757654,58.764731693465755,58.55182375310031,54.224446445450674,55.904392595470675,54.265084679637276,54.854275119003105,52.46846125338858,49.507579968897645,45.953323203854346,43.760238846394046,40.24734113251845,38.64508837952144,37.03202865672944,38.720933720079074,41.5850667374782,44.714388327382956,45.140074896493424,51.39271761775241,50.473166753368815,53.81963463990396,52.86776670993204,53.670405923535625,52.18752930590006,51.17053510805856,49.17841143428339,50.26182544314759,47.345993129189445,45.65238187192355,47.050267255591635,48.74980216633596,47.64889711659491,51.19232611535922,48.32494213393649,50.757423666298926,47.623655775214694,46.154379410841095,41.539008931237106,41.61128723930981,37.35812038918038,40.94133613234144,38.87235306452218,41.08106373558725,42.42696422761688,41.790349988557615,43.09057944226076,41.030499838829016,42.82080133373643,38.39269021619282,41.143976115784035,39.726287772466776,35.70060880371746,36.26510688512,31.511502341754444,31.732002760296826,28.913004186811285,28.406256522638575,28.728152776792633,27.510359181945002,30.530972829426993,30.449913985813385,33.91044521130764,33.63709709407199,30.256640538415233,28.07744797597909,24.963570228319067,24.10167710890119,23.440489754651857,25.224660369910442,25.793545332075265,28.939753909167294,31.3704691118303,36.50379020307472,34.353392927028395,38.88241411125804,39.08792883244275,41.36686636224249,36.34017065793408,33.80927824494842,29.43283274746663,29.062952801080264,27.279918088616178,29.97585943864946,28.097038584733262,32.027572051007596,33.237227206586,31.964026514711335,35.84841447946891,35.890828064392196,32.903016844601204,33.424925854252415,33.62676572593065,31.507352711940737,33.52663818281685,33.31692844759188,37.99462427003765,37.36791674865313,38.26581802199885,38.92306314623051,36.69379437490084,37.372021714376665,37.55727270845604,36.88913079253571,35.75939759554541,38.23398040712199,35.27606485440264,40.09634774656572,39.383606868300895,35.124841569619946,39.253527540586354,39.75843717871576,38.51929189745741,34.82843059624234,36.717143947199716,34.191932369439535,38.66101281513232,39.65794138930216,41.2886181416049,42.63536257205277,41.82032967800699,46.80805752166523,45.91904765547161,46.35409443845295,44.156707725060016,40.48260021560237,43.55123186897476,44.943978662518894,41.86210656951003,44.975969227497416,44.53430408482968,47.841653978461984,44.34616041054207,46.03359819858267,44.93054265774054,44.60009068824048,42.931940471126204,40.82877789728148,41.06860866924027,40.622794711016056,36.064499976000555,38.052115654825336,35.153601037567185,35.24422772780946,37.42764446733624,37.04102672883747,33.14423710413635,32.688432641614845,35.84708005334268,32.67000489006309,27.84868867273154,31.93792818299638,35.11838748873833,29.030447139507846,28.694914441878687,32.066925573979546,30.456715780251038,26.129806317179703,28.89693735805175,27.878609009515785,33.356390822745325,31.326667977536726,33.183727261342334,36.69887609408794,41.01604396321297,44.212581468669995,46.0197184130403,47.43765149016039,46.62684427472081,49.37847064452344,47.499384964940525,50.73944788456409,48.95189963682372,43.183298475903975,46.04580402142865,48.23335988712284,43.723594699135816,42.031304079885096,45.06785938709538,43.839363788398,39.523194856624244,39.32725340092764,37.11625132986258,40.739785372697696,43.845676575622036,43.51000489411831,46.08597707445667,48.83446254639982,46.6155129956708,42.515730080751915,44.35578303178945,45.36704078284842,40.679396035587565,39.21132131208665,41.660067264452856,39.993927911169514,36.5344724703688,40.56542429835307,41.17530553014629,36.704417529088396,37.255874677498284,40.994117949324966,39.55434394338036,42.655383187856046,42.03786654681166,45.00933582793117,42.86348423417638,37.598832992416504,41.014844842649815,41.515220907036586,38.03829286876901,36.79557132805309,41.974099324842435,39.63504567520234,34.54656108570207,37.11908437345392,40.94467831196956,37.82569598998365,33.97129445487338,29.494827213693345,31.59250670806341,27.01597260350025,28.883208464343333,24.32555321845601,26.401871999297175,23.598532015043194,20.5228011625016,22.425635389118334,24.10318903788576,25.75280820286554,29.051014468359856,26.75658849041973,30.448652052524455,27.635318211792434,28.03868224516413,31.6103782566145,33.98532456154502,33.25161399288923,28.71524597420815,29.81826449054233,31.5447387840346,28.26497896347379,25.547600773761587,29.929556209494752,31.543340026814047,31.622913682845912,32.30047159214527,34.76529158483876],[21.748423443581,20.0918975056597,19.537626572231012,15.500322451519011,19.28616824612015,20.22827118603549,21.414788818620444,25.85898707399055,24.487789551458224,24.733876239608215,27.507910377663517,30.885762425827995,29.547738970601053,26.896185859981625,32.04837380033933,33.6097582978331,31.03507810834409,34.612406025926,35.09321177318409,38.08274901498549,40.411194349371414,43.9160034070508,43.96693624423805,42.11874814910289,40.1506409370497,36.432773040742504,35.40462122374764,32.04648689979662,34.413942761560094,35.3900216151931,38.53350220400811,38.95915247474501,42.66017932800015,45.67310834236315,43.156931582060686,40.55693883715357,40.09320820911452,39.00868442197817,37.849848310894195,42.929178977262275,39.46378662043469,41.20204853514197,45.41223850964492,44.6402185255023,45.57782940918698,44.58202434133805,48.42752502346649,48.358610266540474,44.923243016454386,48.85827227107612,50.745566997026884,51.073008441347014,52.328674351967074,47.314746763550005,51.829725364720396,54.65151438168317,50.743358820779655,50.062298463128585,54.85499978098839,54.53817408727863,50.366434628115265,52.280807241980206,50.793341854598246,51.456790718187094,48.84799591624304,45.89593912547049,42.62268827777451,40.540597805085504,37.22047691066945,35.8833188498121,34.353219313162455,36.36603707079628,39.05246932786606,41.907872954109074,42.23198855453622,48.46871912063194,47.19715196379015,50.648566203268715,49.44891866789919,50.009735660855554,48.483092782872795,47.238045121824726,45.39160029313172,46.26544516327701,43.22962603056057,41.7452321903447,43.222333562041065,45.15082885694856,44.142842451823086,47.980597921226305,45.274096968547155,47.96559703144883,44.96840955608316,43.580161306184046,38.956008472540326,39.397550803778486,35.13979640494031,38.43384982012831,36.36619924679199,38.757788971714206,39.54755435190849,38.833770465771885,39.75340087904858,37.64803150111515,39.0514901709519,34.681743206921986,37.52712663820509,35.985663931413356,32.129003759224354,32.80121639451719,28.12321409074337,28.047420567492352,25.498777069204817,24.63208388408515,25.229760347029618,23.742454423364613,26.873967188190324,26.7293584268804,30.46534846621223,30.34708788984166,27.08403434142544,24.94153886298945,21.436317876896418,20.55333392395076,20.036372472997986,21.270567912494755,22.262753053418283,25.052439848199853,27.48440906380052,32.55684174648969,30.369335980487907,34.9606739733311,34.906111535762214,37.25634325612137,32.07971057855361,29.592279796770683,25.237363807479557,24.710727162616212,22.87325400476271,25.668310139991622,23.80766163431848,27.776062918553535,29.15199527706485,27.862306406958613,31.741420261767143,31.975239600187447,28.98102351773945,29.753160712621906,30.0051644744844,28.273656613656772,30.43873749056962,30.75552234925192,35.51314421474109,35.52714426244631,36.21664736279964,36.398959896061186,33.90060831117731,34.3159060317064,34.29442366707214,33.29806971674927,31.779413198281173,34.31563127793872,31.06202318429866,35.89081662906649,34.97676455117254,30.621273466044123,34.723319726027654,35.20014199077189,33.96564721924515,30.277340485127947,32.21368553025246,29.7530744084147,34.29814701585115,35.44649770096974,37.24499095145347,38.78231085725102,38.15910902685887,43.11245544725374,41.95950523682152,42.36026251316145,39.933907228265056,36.42231639556381,39.30376628829376,40.583897832995916,37.45814184236213,40.56409755232907,40.17131749867415,43.39321583242019,39.84471307988123,41.49301156018408,40.37549750976046,40.09479599093235,38.45899184147685,36.43526407256039,36.79225000074036,36.50503735625989,32.00948898852588,34.22108904642367,31.59709786134031,31.76960695483134,34.30731614896503,34.05571452682193,30.0522903978313,29.828824753544694,33.29237958254157,30.242797851906445,25.415733822268894,29.811496774285775,33.230386473216065,27.320030265084608,27.22279320562857,30.86287027159252,29.369495443584572,25.275674323740734,28.285648952808394,26.871068680776176,32.54263484732856,30.04474500967358,31.565968573344684,35.30117425795334,39.35966331370799,42.918852902571416,44.30368596536057,45.46060529531772,44.30734942662987,46.84175002381721,44.71344574789542,47.81817568444628,46.2495378406277,40.34024653377743,42.92726963511504,45.13785731388192,40.72521282142771,38.79123053690243,41.59647629128584,40.58356443462024,36.3601730573179,35.66819537210272,33.79776312925589,37.19550432156736,40.46957142438993,40.49002619011831,43.00357824374081,46.04270789167999,43.65954959828645,39.518203818481545,41.81569109106404,42.859201830601606,38.043261167484516,36.82931633555734,39.633333506910276,38.09928617828571,34.66918717552421,38.86899507888812,39.76170736466804,35.47762613485945,36.02082669781546,39.76380037401191,38.07776033960872,40.8602954061266,39.840707232836266,42.762398326654555,41.02536680867988,35.55631528997388,38.58444243300252,39.35539896619769,36.01862811321938,34.25973219755354,39.487180764588736,37.53216331115486,32.24522587442314,34.35026429216832,38.45152763676376,35.665764314052595,31.692723262182852,27.309724801476545,29.727025867213673,25.362530993773813,27.632998023864733,22.843301329625348,24.5557693637744,21.880674888004233,18.834534102859223,20.121887111526014,21.682284526277314,22.818263798885557,26.183035733979885,23.57901611547339,26.968293834970666,24.083904727405724,25.314654499348777,28.770758516798455,31.48677687842333,30.772570695628843,26.16260850207198,27.901241527577728,29.76817418896579,26.003402805902635,24.078781206491303,28.740956313552573,30.112758622858703,30.05981865085716,30.761712430133038,33.29106753634507],[23.28740904645139,21.824946455240617,21.42687466697323,16.73065536366129,20.519435637090975,20.374389217401465,21.000170252731934,25.19740282112263,23.093825618841574,22.91433552972773,25.317909428864876,28.96545996073705,27.727311918381808,24.543035817125528,29.582262902212968,31.460931884999866,28.97635332732768,32.349867558389256,32.78042049471278,36.100711424912255,38.31421042930189,42.085680518135085,42.0030753486001,40.3144034627775,38.52351885705365,34.58755628060969,33.802327329528126,30.334031956354977,32.58503431739092,33.67024822288248,36.17578551257057,37.08159957724563,40.557877025979614,43.469583167363446,41.23170187186255,38.62848247725701,38.57958875538769,37.565788440090145,36.71498326618709,42.150346422051804,38.48445401723302,39.75276001575017,44.08439388659721,43.52875528910682,44.40900024052297,43.68725941041227,47.520931426556395,47.38687426246426,44.28454509434025,48.44373691713182,50.108958692950125,50.58954055147176,51.59752696361362,46.526094526707695,50.850149062045105,53.57331849216006,49.53736740084291,48.64506882844151,53.401624924294396,53.1389825214002,48.69514276727471,50.281099890189665,48.67021137246591,49.131920320655816,46.79264203442541,43.90255606228499,40.225579707464014,38.116668243500136,34.516158679346965,33.040978127484365,31.34861864673281,33.08053852045606,35.97368071701445,38.990595867210324,39.541727466676875,45.77569901436267,44.88899771148212,48.33484887686088,47.43839757049339,48.27404085752578,47.023070684323166,46.140981357566154,44.40355342417773,45.639696281992,42.62799750432554,40.73359557978388,41.82725145265945,43.65179612004338,42.255066391530356,45.89315979099308,42.90869523639983,45.302314549587926,42.28214943522382,41.01638717456778,36.46611277060008,36.65555985403104,32.472849579090145,36.234109503945895,34.44207994819892,37.18941843962204,38.031269916974885,37.934552003134215,38.78019770264924,37.248899673082526,39.09661832371094,34.934199696284345,38.15357619987373,37.03019400027096,33.299437283891685,33.45763780416059,28.730023144434682,28.13994216151443,25.07609549781295,24.050076493934192,23.806305274938524,22.36042217654029,25.113866370766615,24.839157197492703,28.18059672272619,28.01021550299,24.593470676992325,22.591048079550507,19.465857117058363,18.980268778118134,18.908996887520043,21.046973645918758,22.609335531888192,25.52535929482831,28.346093957797066,33.37493805529928,31.885483502105654,36.48302924030544,36.32872254876738,38.24805520011875,33.14220508788715,30.183389195806004,26.46782222975783,25.29665764769029,23.055880728644293,25.354450235510825,23.158007137265496,26.969927111301416,27.906838674196834,26.760723943227045,30.628156522956036,30.73746990393129,27.876895886609677,28.632869480969795,29.26416751966545,27.382107386779186,29.984342095681352,29.87047664354719,34.853393116714976,34.61954721106246,34.88200350149881,35.24157783621989,32.63252235519912,33.54819017238909,33.168905386571616,32.876817524859035,31.429616746614457,33.417400698889686,30.514739442006192,35.277267264753014,34.704720058627615,30.735477481143032,35.11462028614192,35.786406114556186,34.9478440554094,31.10022924829591,32.953418840575424,30.046726298564806,34.30621963512421,35.303664159596075,36.80856040020483,38.350424938564736,37.22982580846071,42.444919939948974,41.38936674489669,42.10846954065515,39.85021200945216,36.60435723598132,39.872999784303936,41.30187879037316,38.076115126091544,40.67693292931234,39.85314780389762,43.29401005561472,39.86341302039955,41.94194173822786,41.174752375506586,40.929371190385474,39.713351199746675,37.8686496894382,38.457378769090994,38.538685408034716,34.011914510457224,36.3042035324909,33.875706843619696,33.611177204739505,36.47749407842688,35.808375884213675,31.755067258298784,32.12555089042623,35.477030128505696,32.07071468983022,27.75459967081384,32.27929850741809,35.229883704696284,29.25057142555636,29.568066624720736,33.10989366252223,31.118078703561686,27.325294334916027,30.721013268384795,29.60589444819976,35.19113934067823,33.31659428534854,34.531920267930104,38.16716406484475,42.38199801104899,45.95712457458097,47.36085520055391,48.22074561355121,47.00148308992575,49.38557047915326,46.99019034215744,50.282554355734845,48.992642939523705,42.94345749386924,45.355198949149624,47.889726529293064,43.61631037622797,41.43922425596352,44.1643256389441,43.578337170408176,39.39219955127458,38.24078980938091,36.36004013550599,39.22088420012289,42.57851635903908,42.55809053338033,44.74110671825505,47.733345854606696,45.00606590753613,41.126005538075184,43.53725978441484,44.173804845341564,39.280046207673074,38.46713642993763,41.07159492327651,39.29357268605527,36.16803825377702,40.60755982787097,41.227731870031675,36.820906107890636,37.8703594567904,41.72711789727044,40.280814431905696,43.04878967962575,41.928868973085784,45.110392252023146,43.55688470831345,38.01503386089973,41.09580185055057,42.188707198571485,38.89838667936849,37.063660008067316,42.497942604125456,40.80833689360881,35.45401252620007,37.462620115113175,41.804272046064256,39.221923148775446,35.220044439008795,30.782890895315592,33.519794260748846,29.190158552172626,31.237105455674666,26.268477582158706,27.565706483960064,24.43584379956097,21.96188117584699,23.280175436126655,25.16246939629735,25.9981471412432,29.04736807041017,25.817526536652604,28.96252160376331,25.527926229696515,26.790496812724115,29.874519046469064,32.62001993902349,31.246532837280302,26.957984478086676,28.948814568336733,30.24149739121607,26.101741117809595,24.430036434830953,28.941425044192627,29.930523465991403,29.50416395227329,29.91050326974369,32.28680637772937],[21.237702582450268,19.343252414866228,18.159626393915378,13.065211425936928,16.20890969296886,16.104847790341378,16.36489460657363,20.670919075341615,18.881494922243856,18.639575860173675,21.384164004358787,24.915801904075195,23.382890592948062,20.613821878003556,25.763017675443955,27.346863209596748,24.832163147935084,28.463739928693613,29.234457931432576,32.229687160966115,34.74402117519953,38.38923257995445,38.61960924848181,37.078883109385465,34.929311616030205,31.025697949373516,29.830011962979864,26.24554257632093,28.37390379683166,29.273454714064346,32.25721748303735,32.77210658134609,36.42889405041268,39.411840210048034,36.97120757273331,34.42764899792749,34.08306489119028,33.21068353532876,32.3200720544348,37.70094552903482,34.33212808815695,35.742117647162274,40.01046954278316,39.5786032682411,40.74172750167013,40.115776840741106,43.97025087165229,43.54645541310299,40.3667976652362,44.50234505674772,45.9832731889425,46.29417747477135,47.27132680830875,42.17604322601199,46.39815943548715,49.3165952573344,45.433581373472684,44.42092505218292,49.21145583110014,49.15953944869495,44.81633642862206,46.49591996861348,44.827318492204505,45.64374909619214,43.19193776985234,40.07742887001418,36.78077525290263,34.49008958974639,31.276621009498175,29.760523081018153,28.389980243489834,30.56486015028239,33.02097414659888,35.972288104334055,36.08214789685955,42.338619868310325,41.10985047451552,44.46962595707348,43.35979868368972,44.08944125552311,42.5921399774158,41.608577498188204,39.71054416499414,40.89566619814084,37.96734438970331,36.117735671885406,37.44544750421338,39.186162016328616,38.09748929367398,41.781620403510495,39.04158361487873,41.724688226123,38.697822312670866,37.295178620496074,32.674290055784496,33.17606963203516,28.931766421961168,32.24273619918316,30.300689337745577,33.003018757318884,33.5753919175663,33.284912358978985,34.03770314455569,32.40240194140189,34.18785559646194,30.041586129415812,33.33156149873508,32.30851123735492,28.664271012190593,28.688521712283144,23.992110776534567,23.241407704021352,20.21914975106816,19.18339366035259,19.216421195234567,17.898852708334086,20.97145617652142,21.304682749174194,24.85128104772871,24.322615789772556,21.063170298771734,18.748286478955198,15.480539935405178,14.504268394331488,14.1554847005464,16.168688355792604,17.796937766880212,20.676585273887724,23.58867139793474,28.59308085850996,27.40487651590288,31.97357247969753,31.860896053150743,33.54956093589176,28.564639687019486,25.448796610361118,21.95272671019313,20.70976239145762,18.595391598533155,20.876461298030485,19.283157365814596,23.4471957085945,24.134228536768628,22.606692802138696,26.474219172683394,26.309059019317388,23.335843963556602,23.93803237732157,24.427774238446997,22.62903445331594,25.2411949313291,25.426779083877264,30.426160458367477,30.650374018919816,30.815674572906335,30.845601068750923,28.129137525543914,28.839814541884376,28.47474474750999,27.993705727732145,26.586670115030575,28.738777469022533,25.96547108054631,30.748671150577195,30.44503524717782,26.67972886544078,30.962657241506616,32.003250052656114,31.036255566262724,27.080670279058175,28.66131870617134,25.590486822549092,29.74137237083165,30.572117364814098,32.023518916622926,33.48838934287619,32.46767902213329,37.615403743934294,36.601689915901964,37.25960013627599,35.11439830776704,31.746332552833955,35.14238432230358,36.70289737988303,33.525253499334056,36.16712507722643,35.44778390002693,39.0054790570702,35.87927934078833,37.806406002945806,37.163782848185306,36.65217538805389,35.554826229088206,33.65062927212471,34.23502094035181,34.4805661656258,29.89188459043679,32.15081835715193,29.879446016060065,29.325366834852044,32.48066933093524,31.631109266722437,27.54104774745418,28.372886875311245,31.770031476105004,28.28523822566931,24.34643841017339,29.067580019008005,31.85997114512639,26.083758186383218,26.817575473959224,30.44466331609805,28.338930453689308,24.990979494711144,28.73263819108618,27.49747865091137,33.0655307472508,31.33648864063912,32.0061992949979,35.667698206531,39.76262013398234,43.58589030798746,44.68714385325257,45.13031724937622,43.66785102008561,45.81067905306607,43.12983169281835,46.47804838981729,45.49578214988485,39.31573941884062,41.48072341068466,44.28081597823948,40.18956174139953,37.74325951975497,40.36391300094872,40.2438598836722,36.128012068478185,34.49692759994035,32.611420720373246,35.00400007293321,38.427101980331216,38.49371172265855,40.460761299890684,43.5496678290224,40.61113952155678,36.83765835174976,39.523068641212255,40.01003143143095,35.04069136726641,34.54882674830267,37.287463063261775,35.53219957850809,32.57223302754163,37.19204519150651,37.91475735553573,33.666011880521395,34.900574314893944,38.76934708756087,37.26548183779214,39.759129196478376,38.32071056632594,41.59469805469602,40.43834521504397,34.76885146680352,37.6135302678694,39.092929910200425,35.961963952217786,33.79220883812666,39.37875435766398,38.16793208498589,32.70609564595992,34.387173909334926,39.061793135260224,36.911798117369784,32.87185623772975,28.486995007462276,31.809275094741924,27.745356314799047,29.69483803523933,24.488226256550575,25.074526005962895,21.78540600048416,19.91231362897922,20.78378643861363,22.915207101001204,23.150292604942422,25.806273525798975,21.992202470372202,24.820862823415048,21.082097405199043,22.7284593168671,25.546135036141468,28.48292477374367,26.94616153138232,22.73977193761344,25.247022474658536,26.469424422378506,21.93237655152084,21.006918001728554,25.643323147707125,26.35401146436864,25.80266693721257,26.22312123117571,28.66270334142846],[18.28849129257578,16.911520672854298,16.72153663804709,11.506440567439673,15.601192546644018,13.795832516649876,14.573005072375455,18.421043639813153,16.14365910465421,16.803825657237326,19.154464183613452,22.3900732672459,22.01675409273182,19.263068884218836,24.370950839017496,26.20137019197349,24.52828881512246,28.466674051954474,30.06446041473938,33.03117092292124,35.90307886322368,39.74633647498666,40.25915346200916,39.15765146364862,36.796048630452674,32.69584687000008,31.17588717131982,27.21062114450007,28.59503600079841,28.811009435720987,31.367973397397,31.575216103134537,34.90755881931991,38.31521256802929,36.232390765354246,34.199650037724695,33.727159467571894,33.78771354808792,33.34045853600032,38.939906131316775,36.06116293087652,37.13515289300297,41.38805257416166,41.444986420853176,42.948805358583634,42.68605398854201,46.512703631376944,45.66751132946688,42.6777392887705,46.88608839089388,47.91347253472804,48.03116434134288,48.730350676589104,43.58232486272347,47.275823415995546,50.53291592401712,46.84811647339549,45.273414408473094,50.04231239744971,50.5284158752725,46.0202334335623,47.28049334009791,45.19873214933076,46.35568966975047,44.27308026347598,40.851404031669944,37.502988273015475,34.715736412613154,31.6658403121693,29.47264246457625,28.405773137442072,30.447695702259253,32.642806583527786,36.11348564275509,35.80100455368203,42.07344448993438,41.161442017228474,44.12497891076386,43.284004059972666,44.411580083758615,42.68167644785546,42.09720907669343,39.661886713819555,41.256942871615664,38.761293765885114,36.508701102904254,37.960023574652695,39.020809675274485,38.16891326525497,41.19554760973282,38.46206435530031,40.95432699038064,37.61865803334891,35.833955609218215,31.151788461338114,31.240075827196915,26.914287221118467,30.24511515438707,28.08669859081402,30.31941197309969,31.792746549513467,31.443116553206558,32.938780750797136,31.31142199831432,33.91846002849484,29.722475705923085,32.89627289169554,32.337847719058445,28.473794041274793,28.015435842706133,23.219022773498605,22.952553609999068,19.36292143884418,19.3202330575493,19.071629137476027,18.745227884371733,21.855579808664277,23.19049879626332,26.247347759800036,24.834433300206747,21.616879970101667,18.821191769285395,16.579774997043273,14.974142020610648,13.728608482301048,16.901452380545845,17.3623020573841,21.027288509763494,23.992113817779337,29.02340839821531,28.38251537779065,32.740890277555145,33.24365012118312,34.415748238699145,29.99743425632107,26.626285835165415,23.437486202949778,22.543773031580745,20.85403358253961,22.828468328926167,22.088344650616932,26.453680556060757,26.431208242368072,24.4784502643534,28.21556005594849,27.209759541941864,24.188966600995748,23.910481343256052,24.042295484036483,21.404496599551166,23.64552825345062,22.944349387395572,27.834592531786363,27.2462598973768,27.6852039045614,28.346152105586263,26.10295915537414,27.176324042958424,27.32327721815212,27.398437852778585,27.02647306705954,29.212993477713788,27.40738745089432,32.0707181712271,32.608666589426406,29.413506089617865,33.532714103271196,35.10677547224143,33.97110999753447,29.931550869277203,31.023472460124704,27.667344575859637,31.399590653555716,31.628867399651725,32.577599728775624,33.460424882658415,32.12850651583738,37.20209338625201,36.87567237293606,37.531937382192844,36.10924390029955,32.25935354105481,36.22696413153064,38.20789144653932,35.233855909585635,37.8940046583574,37.21295378078905,41.074737420163224,38.53005199464647,40.31533558337286,39.88552900850677,38.9198718945729,37.937693997155506,35.808918356244405,36.147415024036,36.30976577887823,31.517994768342923,33.26235820579508,30.65556515891514,29.48119662477678,32.35181208340736,30.895781104848623,26.95525259157039,28.045209761629188,30.90046757571599,26.934760351913884,23.591423990953942,28.085285657276117,30.108939997188795,24.16349269002135,25.17099912116334,28.459967392105934,25.770715793115418,22.665749325409084,26.696721248266975,26.058721006496505,31.33081824047216,30.796108281134874,31.21394941640776,34.537559702178214,39.017523893227356,42.58894752959362,44.02668875039928,44.27527907531814,43.077302006486114,45.26762702543563,42.59202425903137,46.33615001354418,45.42379152278675,39.26427209697521,41.599886801338556,44.80214366309662,40.78069162906061,38.37299904517369,41.30216237476415,41.47496258660638,37.25715141209955,35.869198855063374,33.28672574233781,35.42449544237184,38.611208358278134,38.07247008831273,39.805026934188135,42.44307586042315,39.45886223365182,35.96424759326085,38.14372461612622,38.26301827136744,33.40743067900484,32.93496578591575,35.129677277813705,33.065129271269626,30.3291004616394,34.99687086956472,35.256715019157454,30.785541963008935,32.47768076718061,36.43790401754458,35.36324602407972,38.081794120579985,36.91942609088341,40.51187770352723,39.18615232821464,33.64601073237555,36.938984694142924,38.54017555159303,35.354499680924185,33.64693578216726,39.449134376552045,38.25087747371006,32.92048749947116,35.02362423381956,39.74157617000144,37.60918349480375,33.66287348358577,29.093285753712543,32.78014694166372,28.64449566695526,29.77447320124945,24.464198396668987,24.628288368294047,20.679757360764093,19.659731683213877,21.082539634426446,23.87001627186599,24.241322490123046,26.256258121086596,22.159633744577174,25.197678904522334,21.178399940079654,21.486809551917013,24.144788018262826,26.63565581983465,24.684725021260103,20.773472798290065,22.725679231765188,23.426084893889104,19.22093334391578,17.620793021773473,21.963305205741477,22.68022167433995,22.136577295238276,22.488525529397315,24.90776596857433],[19.391952696711574,17.781933424226626,16.826468053734462,11.371212274366577,14.133380836103496,11.389399362937427,10.955389485999753,14.527632512711188,11.87687692590755,12.054672500192012,14.504102200769875,17.852839306105363,17.236037468595228,14.551367861028211,19.692760667086972,21.433470139511837,19.86821293912879,23.925645407029155,25.889559788870017,28.69509742329277,31.77242645957416,35.62206610847581,36.35420781777661,35.52625530203535,32.96657769188292,28.82452544168142,27.066109836489016,22.95441394478193,24.031562360433924,24.08268287874086,26.659684529123393,26.791042689392118,30.15290423007311,33.55479073520369,31.45956059010103,29.503157368089656,29.02330226655423,29.313378019885395,29.07436505327909,34.80141563698765,32.13161078255339,32.991698208097816,37.21011606736626,37.53910299408862,39.25753888999563,39.27112193486928,43.051530440311524,41.90393506916022,39.10360087090436,43.37782605839648,44.078231652011645,44.14065639781134,44.64003498265406,39.48071119270175,42.91577655350753,46.26541727011817,42.667341707432016,40.84950424159335,45.59618144224175,46.30973794989584,41.75613011682978,42.88167510216105,40.67604339725499,42.042544147494624,40.04304609401502,36.46706682304264,33.2651033488056,30.285802938608224,27.497870871435808,25.160797339865685,24.36975989000174,26.66908029037722,28.490780524981584,31.97547016866366,31.34437368661441,37.60259532396663,36.60197798674042,39.46355232820939,38.61342020483035,39.815335219128066,38.040732396963485,37.614701017048006,35.11433289563979,36.91120223870333,34.538470897571585,32.0494125076028,33.44968351561477,34.335465715872814,33.52884668986697,36.449335639943044,33.78360754948194,36.368237690806545,33.022158405214704,31.184353347233902,26.48014402641015,26.739527302477043,22.398261987991578,25.571049831112,23.458386749343116,25.96168939403323,27.136925032918025,27.08393360054929,28.39498026477706,27.136108702304906,29.99753261170992,26.05193664121414,29.54813183865169,29.415491074739627,25.846377133237137,24.852955281375063,20.190871181130525,19.302910037676483,15.349052189692147,15.255417836340655,14.524085969648693,14.595031914591967,17.645089191584464,19.655213177283922,22.467054249430948,20.56704541252088,17.513961364106983,14.458915037104385,12.70967845358008,10.754757818025707,9.392140843242922,13.402296948134687,14.308290241815705,17.889415083512304,21.14361773703167,25.937345766771127,26.146409804329583,30.350864286441634,30.785603427109447,31.40499543983476,27.26899084198307,23.499754113344558,21.181578290253018,19.792789724310403,18.078455191991843,19.488878262812086,19.25834510189945,23.631099973574557,23.000122772206602,20.79291261998108,24.372224821010935,22.93936858771918,19.972913544995112,19.42104456367699,19.6870779097437,16.99173312554768,19.621959348154782,18.887178964385313,23.986789685694767,23.780805131751606,23.69686125729617,24.085934510472544,21.603823461780667,22.87628678967918,22.7297012173589,23.207090617862423,22.985997509641386,24.86821465381401,23.57691094321706,28.08716319760711,29.159392543845524,26.557156321393133,30.63143155587325,32.63249840920146,31.675692111472276,27.57434964867073,28.30796369238347,24.59077977626662,27.86690540307365,27.79150237593966,28.42987560836323,29.21547467419444,27.605594809215702,32.77629882641293,32.56632616070257,33.39412131599044,32.228957431916626,28.520853842498965,32.83206949508498,35.004232576281844,32.064508227722555,34.34955573731407,33.47790210724359,37.54137469850812,35.41049542354722,37.30511043819611,37.22750208907197,36.072320987137765,35.502294632002226,33.499978252945596,33.99267295865422,34.55495473903385,29.83646597077089,31.578734642591325,29.35765874943328,27.67298942106958,30.994665853808012,29.145740387913097,25.247662304319658,27.17200420097733,29.94489749826638,25.818781513018514,23.32264561038656,27.913698588440504,29.469998638297646,23.92880814969253,25.557928064248998,28.76979249155751,25.799240518784043,23.469442340336894,27.8445225160821,27.224446006618344,32.27673335023115,32.0908004721047,31.86865129820228,35.1057017471883,39.42050945811681,43.193360369459675,44.30102310362891,44.00184416827542,42.520533746604535,44.346455105458425,41.26125422468403,45.08669153940616,44.64991102617486,38.381555079202656,40.307708175457996,43.87477560491267,40.170732057026584,37.40517763922586,40.09741952442782,40.92795814733436,36.89661742714796,34.79935483389815,32.33676900309793,33.63019572034593,36.8881572420093,36.469028389165175,37.744785519050595,40.44661167174953,37.04465338837984,33.88750706669504,36.43165510732744,36.13198444134456,31.21135759525718,31.385457040936846,33.57606532711651,31.423284766562997,29.136035271779637,34.047109459035674,34.26146955409945,29.993770441155874,32.14220406134851,36.08842098350587,35.09241990436884,37.44888262954227,35.89752252597649,39.65483510042913,38.874982782557574,33.27510924907425,36.248729398100316,38.37383259253028,35.44345728242453,33.36895217567857,39.279747257889944,38.69488728792184,33.343506039914736,34.990549418682704,40.033558371537836,38.4330106378525,34.518366949736205,30.127367951935724,34.29986118309124,30.523674744235638,31.554883341573326,26.174512692146298,25.553189079479157,21.48800831029044,21.298670651096547,22.19841311925294,25.1225891962258,24.79669078679171,26.24409576582857,21.428048034873107,23.8026285644236,19.282227386164678,20.04565746035572,21.984786742220614,24.649640714771863,22.040002621397644,18.638243389671917,21.347580143097233,21.486313313848193,16.574783834605036,16.28434245591083,20.446093158450516,20.448832202524283,19.41795800504753,19.49750719149421,21.82419903409254],[15.35008585703752,14.055314375542375,13.896096754235748,8.86916253000824,12.545154506354557,8.787617709737976,9.833861183205334,13.088615367513842,10.940446388399673,12.881318235874124,15.199408191701883,17.695709307204,18.24475042901203,16.37160210288232,21.286184840609376,22.853374041079594,22.037503355427596,26.407661063130025,29.01606155992384,31.45555435553271,34.85393483381133,38.58276079582613,39.62930052228099,39.004386999431084,36.178510369477365,32.12547516807796,29.9529208891629,25.738713875158595,26.284642678973604,25.613940319672523,28.368813305643254,27.718480377756332,30.92968064948263,34.77699810520655,32.77816259683869,31.326954779468945,30.33419443177085,31.38619959238549,31.24235242656479,36.75831408809669,34.7012935495086,35.69017129347441,39.74311994389429,40.27856426564791,42.29869942000755,42.36800728817972,46.117276539445015,44.69891467160651,41.79156674528952,45.916819241693695,46.42769698525099,46.195991242220074,46.66810028337439,41.54765941575481,44.67057691149449,48.37602160216729,45.079007672146076,42.986488716660645,47.70721654268583,48.82114508221098,44.39815903567154,45.44733340815265,43.02579843778249,44.82891467214967,42.92405521137285,39.08988827258215,36.23192355890985,32.9337155676217,30.57254921837917,27.879593767107288,27.481817070288454,29.81837062268498,31.237977632029192,34.93128415337232,33.78239532887416,39.946435178890695,38.89490641118223,41.381031198940676,40.50391691715678,41.79137193835082,39.57938237900688,39.17848774363555,36.11374713972964,37.92855661995189,35.947214331251665,33.50889822884036,35.360223508146994,35.725158128418634,35.50700933680999,37.985511207876876,35.62568394622675,38.26903030993602,34.72683240230571,32.458987043866856,27.733674125566846,27.843658836693574,23.482486340485536,26.07627061166963,23.482661377337518,25.033514964269546,27.084368447642927,26.294177060588634,28.438919297838307,26.595215232445252,29.81957839832799,25.64192296791477,28.642244651989916,28.592191443491796,24.692377012452408,23.68087611079461,18.969070520938235,19.154646263873765,15.259699712783052,16.40814575200809,16.425298344557923,17.295169936097576,20.59703413277637,23.326213476157864,26.057072281233904,23.639929608781284,20.881198487820104,17.535858792219873,16.274007945434757,13.6516707622102,11.07635544941403,14.787873096029063,13.80288578221847,18.020374508959,20.904091643453466,25.733536163927074,25.857875412631227,29.836130371270414,30.939536998721245,31.439583623124964,27.795735581946573,24.246670189024993,21.653700308213736,21.17843826630987,20.208561244427894,21.818953601864468,22.489436568591515,27.064453356770393,26.34199328929821,23.7622637613056,27.18123813476888,25.226454553656964,22.172159072591747,20.86819408828619,20.35543814898338,17.024248081804668,18.657736609797364,17.427219793662907,22.12406738013138,21.294766153773853,22.023999582820224,22.90111218992552,21.100472085274244,22.168209495024144,22.974270727501118,23.241947361917184,23.97254368337686,26.406453243821975,25.641397742266225,30.042545453850224,31.49095065704653,29.023972319867145,32.71061547904323,34.96768342771493,33.560323300466756,29.535429092371277,29.93225924754608,26.3938620394691,29.541224506690597,29.07654479860916,29.529948287480845,29.752462576985778,28.365216694470213,33.1404231908224,33.48995833188409,34.003945081187226,33.35911727829455,28.982848199320784,33.443022032883846,35.85794519175836,33.20348856006356,35.93412328852073,35.48314252611153,39.585751281217135,37.84026778135721,39.25032991530677,39.061014331082006,37.497349605358835,36.681979786313754,34.34292414941735,34.42665820288286,34.62330525075611,29.757651568746603,30.944435990268847,28.263843111054936,26.302187059745705,29.091311785144832,26.94875654724483,23.236131417271828,24.99366455038108,27.3060631731651,22.93789503014681,20.72655742369852,25.007026340988634,26.10415960520096,20.439647820835187,22.13533255651073,25.084391929117068,21.8399537223244,19.640447197744674,24.11044794683221,23.86999160509004,28.6566155739391,29.252654771412583,28.897791105211102,31.864861342507073,36.421725761060486,39.96674961689153,41.345602969661016,41.02795650950623,39.82564218906133,41.791000397533246,38.88992313265386,42.96240242862341,42.40452581402963,36.250789544956284,38.45705911471772,42.17943956752548,38.458796554974505,35.89355041921273,38.925621853126415,39.74758242878025,35.6141632747649,34.04843698751467,30.93950920501162,32.36847053114947,35.331723717018406,34.35482097778669,35.657231324092265,37.962089222669,34.78285745495616,31.67891902006167,33.642690356982925,33.30030134846273,28.53017313632775,28.40491356685767,30.227005058063178,27.94189875024763,25.625225507324874,30.453258733231383,30.42691139454549,26.005523195377226,28.27071800379368,32.24840781195343,31.490165028460115,34.06000297886741,32.82373329262491,36.718405851419234,35.67275954735136,30.231108911344712,33.589182749875484,35.638462240374196,32.64465035267585,31.039708490690813,37.015078680941535,36.31295000968905,31.14575467302272,33.21342007118443,38.14448880962083,36.482875760312744,32.700063013541296,28.223622797523166,32.571580294018126,28.80946224608437,29.181508754827508,23.857352560791053,22.952128553174052,18.537657714121963,18.99938631254405,20.29408967902433,23.627577734714187,23.52399232415916,24.494069860176076,19.815956246451236,22.548036191217296,18.210597981676887,17.51945242072272,19.60153881636593,21.78324119005017,19.294407545701375,15.881016133592977,17.807952030584204,17.880181012410656,13.612688197822512,12.283544545344792,16.414833694506495,16.788325834261528,16.15166084233291,16.524435820799557,19.074422455035357],[17.445120291456323,16.654286098195875,16.754503684998117,12.432676001449085,14.997615130791335,9.57991183327144,9.597826110401384,11.093855160788328,7.6992351140343045,10.231484592087453,11.577668108366261,13.651525491501388,15.446853506651317,13.682964113900873,18.05055934701489,19.818925603711804,19.96932321081814,24.30469527805209,27.606809216814536,29.941819460186984,33.53020521685289,37.377570677965856,38.647028130126884,38.51649868747527,35.60804511372562,31.47838234812684,29.15646465827335,24.79111356276465,24.51724725412605,23.257662587032602,25.266279593491824,24.50616304596891,27.25142464161975,31.331776580686633,29.78804875591058,28.845634958702814,27.956608294729723,29.849673376692063,30.27012934318763,35.9491780994836,34.29859039938321,34.73556156786568,38.686034297500896,39.74689495596619,42.01027521440604,42.535959969520285,46.16148181562572,44.34740282739395,41.849890245572574,46.04750211465338,46.02334606494461,45.71801716258618,45.797715944653085,40.729027894664426,43.218506383006755,47.082168860482774,43.96978563350838,41.33505881290747,45.92171457133175,47.51189029490827,42.93507391007719,43.48175097115061,40.70259481189163,42.749568647232216,41.282455825538,37.26958426535636,34.38899233367714,30.717815903247654,28.632773145011484,25.40056065513838,25.390771953973506,27.579674750949067,28.56222070858397,32.58719755456083,31.03484132063734,37.04085202726542,36.338988669580594,38.41245476246094,37.86791845311445,39.57084486711777,37.33048853614293,37.469659985934115,34.11502950916454,36.451823034474785,34.90269156345507,31.95122258890933,33.63486392290635,33.341410120004966,33.17255058999252,34.939075738007425,32.57077807529834,34.947652389904135,31.217788321158142,28.686248272834177,24.04869884572302,23.791134708047178,19.510346080784746,22.089869606899523,19.499300487853585,20.88712040851242,23.59819791606213,23.296419412219343,25.86668859004108,24.637875774562346,28.741818133433874,24.992713947864967,28.133596745532433,28.848828750764177,25.263935938342126,23.415346677885807,19.087809780533966,18.97646584397427,14.58585155509456,16.339952231548672,15.452685423652815,17.270356902166398,20.021637088660285,23.485703395143414,25.440209877221967,22.267937553210544,19.83637217633053,16.392604481232986,16.533642989073225,13.897346968806108,11.279006997571296,15.905900263383996,14.76961906558782,18.920600856998234,21.876064400376716,26.204204983784486,27.40635300520774,30.98071313511338,32.28439231395066,31.99763947858402,29.02470876382587,25.138951980968457,23.61928209167004,22.846828538465054,21.997777535321447,22.83619217740138,23.994295124990966,28.32431845296638,26.816398833551094,24.094251445487814,27.120505431686414,24.449147461951522,21.679699851048913,19.63494590624853,19.121276878511903,15.20852005539973,16.80980350319645,14.40431904869266,19.04921525698662,17.53003094157362,17.860246518354405,19.29207920797688,17.830436281773526,19.632543830225437,20.49833610842493,21.864643516572496,23.473399388974137,25.34903704770525,25.729262020837037,29.70014993903956,32.006142017409374,30.392674515739753,33.93267355420521,36.64691459669277,35.447239977680404,31.446480038852613,31.398346585912126,27.53915075041732,29.934517432261238,28.89738970989699,28.687446139754385,28.428223169131233,26.459342034528497,31.17968361397499,32.13567295484703,32.877314726703105,32.956780913380086,28.658793884156445,33.65042090507121,36.38968961349405,33.91716136446634,36.14801772627656,35.45101721651443,39.79929731748343,38.67492887990961,40.20201268525919,40.43943418568111,38.61404094590684,38.25739924887348,36.02075641282446,36.15363781419263,36.649853490724425,31.90032472594925,32.82352847929664,30.37602787906683,27.748549261170535,30.616370144071766,27.82535701402641,24.44658654686374,26.95392315086493,28.732087941227004,24.096939010522348,23.11584534235222,27.05801785410938,27.162337052733662,22.014634885970985,24.26848126731171,26.725627980375965,22.94299299201705,21.69654526805273,26.32639460288924,26.549825821596986,30.76057028932265,32.33744633500122,31.460163281376026,34.04102610236337,38.6133358151969,42.03529930793876,43.392359081427955,42.56836554711353,41.36174696844481,43.04176562602262,39.87974059417347,44.19333316941405,44.057249076482655,37.96960134623954,39.90884471183308,44.06733705237289,40.69323478450757,37.94519061541757,40.88706933017663,42.319439443958174,38.355443193775116,36.43254336816072,33.16930267668406,33.750658816203206,36.549599374370096,35.31326497199701,36.02152191362548,37.990669520020155,34.46500983797304,31.982287953740638,33.81877074721295,32.78889767683691,28.205416997160942,28.703708569333312,29.97030031125709,27.37703675604154,25.79317392322903,30.69175636455456,30.18568286054646,25.876337335291396,28.89089040525954,32.801029743672245,32.498805246765606,34.88939962653885,33.59552764687567,37.75517413333114,37.03082577233584,31.810099350185283,35.128576792059306,37.58512408782105,34.820428377713085,33.297178952052164,39.30431978217661,39.03348725596638,34.06671160367787,35.99721398987147,41.0427327482068,39.75078648628087,36.12014415931448,31.790288155383784,36.43080980687846,32.90546197860896,32.85509578311167,27.647394845634384,26.1557024925964,21.578076981119217,22.907710930907697,24.110445890815985,27.61489892562712,27.19916062921964,27.510798522302782,22.47489910509385,24.64730026295162,20.06368759417057,18.899242645806073,19.996570155379093,21.784663183416075,18.32169809163596,16.090316914189373,18.006210930927516,16.838796788298545,12.568166482552964,12.002854633106594,15.03402834557754,14.496890604249238,13.198625812164893,12.992773752717056,15.2642510123856],[14.1709065929592,13.557933697118159,14.06818928954217,10.697867024158352,13.33735754020997,7.541261500445155,9.033398279199485,10.187209671572262,8.330996346699509,12.179248833103108,13.73657808671957,14.811309880921655,17.072538827431334,16.32543202069259,20.439612284249122,21.75766294498989,22.19397252410017,26.727952274998295,30.31180413271484,32.22613217736127,36.02723377009737,39.627379770377985,41.146898009031766,41.04404735740621,37.89350764179902,33.947391896246856,31.276225411413687,26.964091305414637,26.50622054133708,24.80316143272912,27.35891898711504,25.796188919563082,28.57017793783717,32.90733478115202,31.236040938069763,30.601230623863955,29.137051004504677,31.411564788614626,31.702574980431862,37.023395775607135,35.868081415518915,36.62999959612793,40.39562022097197,41.46861239923225,43.944596097545265,44.38134199502648,47.98577311582887,46.02367533016158,43.31478648749166,47.31007846550714,47.251273320571514,46.680498027476325,46.85568302012884,41.85659765947822,44.22876013798638,48.35942880236144,45.51692071471593,42.83464176656314,47.40331324845174,49.2115660059239,44.88067321214666,45.56951936553405,42.758634638272696,45.17089747929328,43.60026373629895,39.42594353419105,37.01307718514528,33.23569768022687,31.576111618686646,28.349011162808242,28.61597614340198,30.985264391343865,31.639453754953934,35.57984656402305,33.636261249632184,39.51318729121001,38.52348242220843,40.36746408197152,39.607342950019365,41.17109956874658,38.510572541240045,38.45167764629107,34.694966246172875,36.82720595281728,35.53558135652748,32.860252367838314,35.03532518118711,34.491111855716525,34.93005850221872,36.556816507526044,34.59518583946911,37.18948554077683,33.43618055027609,30.63108306334505,26.048703659452393,25.945792651207846,21.77203115731083,23.483601923021993,20.444930168394077,20.826689848629837,24.008145796727945,22.72991875824267,25.89537621760046,23.908358576480524,28.007216221358565,24.032503667147168,26.622507649403115,27.264829203734624,23.440227486197507,21.737751137291227,17.47107842743037,18.386748391700582,14.442308323972306,17.053233537028085,17.18279276078199,19.27361667911234,22.357571078551015,26.16533150285889,28.337019666174772,25.03741058637247,22.85791097142328,19.301794905498543,19.24732149566816,16.163243260789,12.837770025966122,16.589893737434192,13.998359550653118,18.41058226006901,20.903102314705272,25.18655769643131,26.159652118202594,29.504499603766003,31.32151777717375,31.04711722739158,28.45614175220479,24.907696672231186,23.077872940291336,23.110101624952474,22.883376564284625,24.016409577280086,25.832172270850982,30.340999606976837,28.9847492582022,26.000261802392426,28.933632253962262,26.066238188098687,23.20090384252512,20.782456619459648,19.54722668625428,15.435441104945035,15.925446180193932,13.50183551682913,17.550240947185728,15.773307351579849,17.128651776872054,18.71562025768271,17.883789218459444,19.09314861960882,20.873948408978737,21.604755350659012,23.807556147271523,26.312546632849024,26.827281324313518,30.730626796571098,33.11448523909396,31.460825400235645,34.628944284864005,37.462194666063944,35.84526016559037,31.96366727070728,31.690017926998042,28.11609879606409,30.505719172667234,29.27500468186641,29.080336817294608,28.439420876514937,26.930011867906543,31.176562291268784,32.44875833858512,32.8098150681593,33.171391138025236,28.326532889135198,33.240648291326046,36.08989064058364,33.8725671890519,36.57936387001139,36.34644600426958,40.614033946285964,39.71835758193122,40.755674024254716,40.813201858843385,38.6871400516243,38.04959316690051,35.54092720318303,35.32282183093734,35.48602613695679,30.68781384330595,31.161299503640254,28.39424354391314,25.621375878478677,28.015099246010763,25.066852459503423,21.896320940028424,24.228384715551442,25.62515396134226,20.894317977312458,20.245993873155264,23.850595474002027,23.592042879643834,18.506934725226994,20.859062496367,23.07708188544499,19.15713486425114,18.213137417898473,22.85541828113517,23.29999997935228,27.210499026450893,29.30920502519747,28.237620382602923,30.591625017747077,35.23854981824455,38.52300783592838,39.98977466111463,39.1244113273796,38.09111871881018,39.852001431198026,36.847752501324145,41.29379334958972,41.062900752520385,35.104547531073464,37.23162581468255,41.45639390083627,38.10238340833879,35.526894729246806,38.69168904995883,40.10303992362113,36.118714440622405,34.6079205325136,30.905146275437758,31.600856594866507,34.14256172066414,32.51005029832535,33.28113403556722,34.973005139717074,31.689988459254423,29.19621626678237,30.5928445192179,29.620015261600766,25.16223406221161,25.37521909756953,26.424485409350083,23.789990821141252,22.141504923291162,26.96215870150102,26.364278593181044,21.992960314080864,25.04196539352706,28.948423599656053,28.76202542771285,31.24157806784779,30.143370683565912,34.35692673340972,33.48505800570727,28.408450763401504,31.931385038982885,34.336837822264094,31.5833198492513,30.37527958497776,36.357248898245764,36.06476756632759,31.29783550945535,33.45225890323365,38.37740983924935,37.121600373085975,33.645498997418855,29.37182002253501,34.12726056000506,30.761928822165686,30.23602188678469,25.196473012868037,23.379370473320357,18.717320304072015,20.660064322638462,21.968195700748403,25.655831953254463,25.306059557070707,25.172666263492886,20.352348617867438,22.686448148881677,18.42902319573592,16.133698046789767,17.29571615368471,18.655212976809153,15.461597065665906,13.218959689590113,14.43050741113878,13.273847565124953,9.695550166773486,8.19766264439111,11.28981703804478,11.161697959935818,10.442281320676917,10.797501843104998,13.485379726857932],[15.525145216080759,15.679626694519017,17.030312535008957,14.215293322684547,16.93924501827233,11.01259439532486,12.29906840455528,12.33171557208376,9.996125638958507,13.935216514264617,14.521684051889961,15.061121774042954,18.45214872393865,17.63009369416975,21.158358557776435,22.716893407131227,23.83188565850418,28.182353788598093,32.06006215636331,34.02879040545529,37.8406649028361,41.558224610260154,43.11885598800799,43.27383774203767,40.18291336684865,36.16832737794345,33.54770287000887,29.193417825989663,28.301264250124127,26.283860162955573,28.07511242524687,26.54232614204368,28.775675756211125,33.270895425482166,32.07870762854749,31.85211480617095,30.541062008452556,33.34997803737899,33.99429971954333,39.38777177575217,38.41359774110916,38.816320924421156,42.526124070867326,43.88696231264692,46.43324365381624,47.10305135910034,50.640205681669755,48.520757098599766,46.05886032979301,50.09582228643086,49.76785616709948,49.17468954464427,49.12023167095559,44.17824097600414,46.14373102334986,50.34183795508819,47.606546410968775,44.59554534609972,49.042601025765954,51.13382319113497,46.685060065674705,46.99120684546571,43.93855910942856,46.4157969422825,45.20233865787935,40.983344025275635,38.4299065617308,34.467501183601954,32.84806943515592,29.265668111962622,29.655832228163174,31.701993663005766,32.236693421507596,36.45536545704984,34.39555183326974,40.10019674694529,39.52372551807214,41.04226284612979,40.62093362724729,42.52266364836152,39.89689642232805,40.2386957921656,36.30123246704675,38.765637951479846,37.77813044254695,34.807063125726145,36.82433772530774,35.81636544316578,36.236301740543766,37.25772004963133,35.24357372306602,37.479122921013584,33.58828573450622,30.60775090896708,26.216947567738757,25.607652746784165,21.646731779513228,23.440485431467604,20.48599457327946,20.397024488128455,24.45384145167225,23.46700292329405,27.10983497962368,25.49177627138012,30.138082505570033,26.44293404302209,28.899840160572857,29.92456404251838,26.22885623534312,24.197347266505457,20.273083392397243,21.257287375836054,17.25398657145797,20.07432418203537,19.690895763744045,22.082268673429624,24.793958588776658,28.723851643478454,30.447592867010414,26.864824792299483,24.783543745763023,21.32042635125394,21.90325300392811,19.03932025864611,15.956606239636672,20.029551344662618,17.426893579209604,21.740918652299325,24.144236380355725,28.142195005972635,29.467923144071833,32.566711984651164,34.577546512518566,33.985740228521394,31.764809306138964,28.163924120218088,26.665637548086814,26.65704630429283,26.424337917679594,27.29473702711487,29.103167275912465,33.48105622038798,31.831022571465077,28.887353108992393,31.654449322347418,28.50998088378006,25.84301244219403,23.122560934553725,21.921618972945552,17.576905260938304,17.807683037167266,14.452690560035423,17.92262791968091,14.9268174551808,16.426049514463703,18.874777603830907,18.673628784948438,20.385298672467126,22.34388844818403,23.763422104265736,26.492893915718494,28.656458694396445,29.736915731273392,33.40355440832167,36.156257988158416,34.825774980140736,37.96176615911105,40.927967306056765,39.39447933576622,35.528522630024575,35.125712970010454,31.460281859523715,33.54027033489196,32.051444515813444,31.503024299183668,30.540811989404528,28.705166055835463,32.789044159808014,34.50971423258085,34.97105700209309,35.783507462592716,30.97468967961999,36.09604998805948,39.09086237721989,36.996022906120906,39.487543457269126,39.13500607965413,43.497297995822066,42.86103463707579,43.96427078830691,44.1802072039834,41.95339272840243,41.46505115868895,38.97053320899007,38.711135844539754,38.88940295315617,34.13997750065143,34.398766206963934,31.592191373203548,28.59305032370011,30.718324551653417,27.472722550972293,24.629855018859168,27.015164554550143,27.935418800836814,23.126940127708124,23.018563238012593,26.181716501926903,25.253860423416093,20.44624755859365,22.834434876599698,24.546179169902288,20.295793979709867,19.758003361617668,24.25448386161865,25.21394883098681,28.63452780745291,31.55592833917284,30.42015210135601,32.406087227017856,37.193452981734985,40.157829268449206,41.87422080556125,40.90128067834224,40.106063502906004,41.850762609704745,38.9227634299161,43.53854585738966,43.37213902651657,37.59505570573238,39.75948590625392,44.13569875623702,40.90337737489131,38.41888448748771,41.66369935513996,43.194753350235445,39.244482228046564,37.88901534937768,33.966695429826984,34.46547993193994,36.78299421354958,34.805556472021195,35.32885626550693,36.59202252903234,33.334488732795684,31.236131665993405,32.161979417321476,30.81934859557194,26.701568195491184,27.000785425168242,27.40653232320289,24.537925325516536,23.332098224545305,27.9300746620283,26.804804850827253,22.41067338207655,25.887668224221784,29.69577801679058,29.97930440348846,32.564824246254084,31.76134245735141,36.09396390693831,35.11209764341276,30.365687308217716,34.091830790181334,36.49228640579202,33.79050407178921,32.967497309435664,38.87812593066291,38.56514791082319,34.03508548408733,36.38658342751637,41.182341255885596,39.91797231492193,36.57872089021241,32.32492875780549,37.041971898773234,33.67438938571898,32.76331807669946,27.896402574514774,26.04318161522174,21.3130540740569,23.517521632933793,25.090799591461845,28.865075300777075,28.67427435807866,28.3235997060373,23.67084288918758,25.95719090015634,21.828871448749396,18.937472482668934,19.731289517772815,20.50639372264593,17.04440735391114,15.637596605041558,16.058408415607314,14.102715248296104,11.654761415953008,9.649971894934044,11.174794933729894,10.793619393240789,9.955478865697437,9.888677137969303,12.180221946206176],[14.633724953395717,15.515942422220828,17.564146350723124,16.63390196900924,18.753980899549646,13.219542617868065,15.268249014468466,14.14510114802115,13.522107999586067,18.098266720191955,18.48777977063178,17.657399701289005,21.770177359921956,22.073659622924243,24.912087044519783,25.95788252246706,27.70356502525881,32.08285951823801,36.41639382979196,37.83283033020108,41.882596647060176,45.29835312420414,47.217200489522945,47.58810657436776,44.22903221949121,40.45616016993194,37.44578107531442,33.20365091256521,31.841735317539666,29.1647517057274,31.188558484233326,28.689438253500676,30.588989535516703,35.364212857179105,34.28906928039656,34.69677415874973,32.771860064494135,36.323071187096005,37.02365661571349,41.914973758392584,41.72439985462692,42.28355766304291,45.66104668618232,47.22906530198562,50.091012029457545,50.82486467093481,54.25105362063834,51.816900738785606,49.29653631480556,53.05804436360051,52.46729827787207,51.51781525205997,51.410585226483704,46.665135482255835,48.156209436042644,52.704084524596944,50.43669736563114,47.17600817302578,51.4612200638061,54.016546612162365,49.87060187030042,50.12900578873073,46.92411049213523,49.92013120160754,48.78983049758882,44.368359887916775,42.40401499213962,38.25133443046686,37.259653912081546,33.568169024692594,34.39058865355044,36.537711648316325,36.529320670172055,40.69260298935534,38.05619577471183,43.403907324196744,42.646705629548585,43.64872601818024,43.12508207122904,45.005651102032395,41.88671835256281,42.22190604285246,37.72924263287717,40.102775186484564,39.68498964872332,36.92198209370905,39.41895328542013,37.81704177618818,39.01544303222123,39.48727912774887,38.0443571240836,40.360675461652875,36.45742842804317,33.10209594753685,29.026111771856254,28.44630183111871,24.898434320858446,25.48532709267527,22.179333515894943,20.470722554060448,25.391266428184167,23.354058474498302,27.8885299937864,25.65155302949616,30.494971361728886,26.929106218637493,28.500393676756563,29.761234993166788,26.10991375336717,24.024067968223004,20.794571103707348,22.877492693881724,19.636510754860982,23.287687138824506,23.648349255608444,26.444722254347543,29.22549745131455,33.61436738176842,35.29883536044888,31.427506568378316,29.75471657652803,26.258127295822156,26.992810685480393,23.827501643240474,20.324308221529087,23.566182704361353,19.697990529621556,23.834298370683083,25.518476258398973,28.97931796922974,30.384651376145897,32.84567037936632,35.56180037975001,34.6683708521566,33.324304226928554,30.1713469451845,28.769165727253064,29.568994863297352,30.03773196585303,30.945646352791407,33.52355331108687,37.94941513850904,36.243253535835066,33.04088076838897,35.515683063169,31.997844007110288,29.428073191023255,26.181777960201547,24.249610279238695,19.85682014255158,18.622512480878708,15.008569235671812,16.744745976073006,12.730438693951905,15.759416500476478,18.734568458857254,19.792724450913916,20.93255257250343,23.991284147879387,25.028806402230963,28.71225013422204,31.28786173209499,32.91519718542047,36.22617790604448,39.321864069154216,38.27318846179201,40.861247952477996,44.074416856495546,42.14955200764029,38.516409556907085,37.7041712482123,34.36427765597146,36.09830344396469,34.20073382383154,33.41048528386414,31.774419583688196,30.34681441842082,33.575612564075435,35.963888233668165,36.009613346449726,37.502415393839165,32.20951959470813,37.26327503193737,40.45316589056035,38.823324539388985,41.64050213710861,41.77065901045024,46.046058545956214,45.945823961763224,46.47807753066324,46.63388431662732,43.96625270144723,43.321390630311235,40.58133246387649,39.89106358964432,39.740890031507185,35.12985720736447,34.65512241775098,31.612437801826854,28.274432133006034,29.565316162412792,25.923576398252255,23.830708009571687,26.091160094969517,26.01963491965263,21.277446539169127,22.35759371878402,24.492050312108304,22.365415189921876,18.437704466715733,21.00559367929554,21.77302593336322,17.23492109417752,17.924614029566012,22.042260416062422,23.662342097341945,25.97116525525308,30.227295078104746,28.623522439429827,29.888639556968254,34.66587916740056,37.187829328175475,39.09421368707467,37.824397720498474,37.38958575690702,39.087072627777765,36.394072637515976,41.236987363069325,41.12535442138371,35.78620885647025,38.06234421982411,42.63027611943953,39.68069224181502,37.47105953394884,40.922385744813994,42.63896964343996,38.83859153470039,37.99412087650524,33.50671908060582,33.780272084860556,35.514923004868905,32.82178432780858,33.09816308014278,33.59949818944578,30.69956298095565,29.076259933727847,29.0389583168588,27.390340876951804,23.91310487640346,24.039036804664345,23.509759311110635,20.4503826875597,19.796291242727804,23.922733306812034,22.19137740513309,17.95448291358878,21.910042074180463,25.464691469112918,26.350864192069764,28.937007585058495,28.57090619377266,32.99118437812898,31.913408540743934,27.80039733082322,31.73315203401595,34.13769802254318,31.66358785372583,31.49478334652364,37.144771887033826,36.97627724820788,33.03776822371041,35.615391510003775,40.101843076427144,39.0651388968163,36.13722654030502,32.18557090256414,36.982464676725584,34.034130114915236,32.270172460415154,27.958191419393494,25.54826529556236,21.016558674714418,24.216645495220163,25.83517022021515,29.6960088127753,29.524486678226936,28.3416416536743,24.207501620018995,26.33747435966046,22.896798104873056,18.509728582525018,18.779331960011085,18.366662990851246,15.275380340866702,14.992684000080365,13.732282916804198,10.982847077652327,11.263815649236772,8.582609507252487,7.048811363679672,7.097109164865208,7.416788249874471,7.919570374733261,10.0866604528363],[18.062912371072414,19.235382263226885,21.513007760422514,20.236334909878625,22.53540756917543,16.75857554238315,18.27228085594321,16.788058258585004,15.32351036588266,19.52384926603203,19.148142024692042,18.169185465659353,22.938663037842932,22.90483963493429,25.254917305443307,26.608360462801418,28.805725539854695,32.918842364944524,37.37304317746663,38.958014770961945,42.92231609514667,46.50529820835373,48.36619510841493,48.953365131216025,45.73950619708241,41.86199970463609,39.0205917348076,34.74968640118819,33.102562283570116,30.334981097492335,31.485994098453308,29.311560277127835,30.665739490780663,35.44020016725785,34.87227498783581,35.54104804019809,33.96949396246755,37.81749234414493,38.85927862076251,43.93030048345867,43.707533298521085,43.849043595067094,47.233981768341046,49.042168717861834,51.883449667526904,52.84890380735493,56.21747820214817,53.704719585505366,51.478694518792594,55.35460704832418,54.54419475920178,53.676234517594466,53.33243638502691,48.61668024863494,49.793625385366155,54.28687541078105,52.01841666932041,48.491535674045565,52.658042077750494,55.38522286110649,51.054424421446754,50.91069385401336,47.51027552395083,50.425895346903665,49.66376196073653,45.280402611282064,43.04999170962481,38.79831647342985,37.72291457015893,33.76351494147503,34.60771582661272,36.3831837738304,36.35370830479052,40.74540243287241,38.14754909643053,43.31895316056396,43.05183086864654,43.816337262040065,43.69083054579983,45.923396183398886,43.005579261500564,43.77444621538002,39.295637896384186,42.0317716968156,41.773650427445055,38.661988591376115,40.82880410534793,38.91536413770261,39.87272747959912,39.82961735121381,38.21276380066014,40.09051336147341,36.10680410843709,32.71376925943183,28.88079848062362,27.778815782883726,24.509470108543457,25.398308957957536,22.401684099140134,20.631030043638656,26.10416274075271,24.760520679445413,29.405267087320208,27.823174939093512,33.08470862996613,29.842858173439268,31.568134065458846,33.14962948798036,29.698011593603216,27.31148633808188,24.24884344326726,25.9187100334209,22.410460532597043,25.901011453579503,25.58470855252211,28.499202656704362,30.90138808196496,35.26215624280218,36.511882684854676,32.48052971656034,30.834803850534016,27.484917131536726,28.732018918722986,25.84751408099796,22.678282668178323,26.441946346989504,23.055254164745815,27.128534833552006,28.98871409177243,32.31374521366328,34.074322476236375,36.484199741591425,39.11662522312552,37.978958228010555,36.73022174414134,33.370995158626286,32.29957189470829,32.753695182753475,32.99190650652246,33.63084393031113,35.98145374066632,40.24393774540055,38.264454368874624,35.18549687690914,37.56117490555524,33.902715482391386,31.520776745617226,28.18553550768868,26.547812561651785,22.072375223611715,21.13237865187182,16.929544739409415,18.423147943559645,13.562743923618408,16.101021678440453,19.73297439917754,21.066108505869078,22.835447647951217,25.62770210616844,27.44972779261267,31.277384666459604,33.35119331188806,35.36228327995482,38.51778212997846,41.87668540989123,41.08666386652785,43.80646690665855,47.08814381979439,45.38458432232484,41.695096631390996,40.874346537521916,37.33513795226685,38.84885404343026,36.825791536127696,35.75275709180029,34.01709612687556,32.142721101188414,35.40460919058759,38.0351539369868,38.32300995527613,40.06681338051423,35.026434363468724,40.28128585044032,43.54352720418663,41.89802321818856,44.35712665971123,44.20598258047639,48.58999506926072,48.6099510254942,49.38999510951816,49.74619404889408,47.11987297882258,46.69987648520967,44.07561670183656,43.5052439166811,43.512666366432846,38.93505934510783,38.5152304050489,35.58273116547972,32.14992368718991,33.4947967247783,29.732537512901366,27.74850358105812,30.13511418997986,29.944187144028813,25.23637287329269,26.440620302635054,28.483318611729704,26.122128507351277,22.396993529649958,24.882125514098565,25.425429765863612,20.85837394154752,21.584586981902348,25.510872495538244,27.354161479429273,29.445981487549933,34.00771928611134,32.47894515670669,33.57375340779722,38.38192311352786,40.68483317440688,42.72221131037343,41.402367788502914,41.08432956465668,42.714059422778924,40.0231730471029,44.91272349206635,44.903895351721715,39.66993460651509,41.87399275431182,46.51844324736142,43.661060318820205,41.44026196702715,44.84385506605886,46.66497635935584,42.897445713299334,41.97249363465386,37.52259190225697,37.597155154962735,39.290524371109896,36.535351709074554,36.57542908598329,36.854977488559506,33.88105469165776,32.60458149560892,32.42207571697217,30.45189308183954,27.248982135957718,27.604362505822944,26.6848116450971,23.54202765309482,23.315537352349967,27.183262330939844,25.088442940898705,21.04593905584524,25.191954382758265,28.560031080320794,29.767574995623363,32.34704023743004,32.12527860354256,36.56029886912811,35.479598107421715,31.604158181478756,35.55131312743433,37.959165197539356,35.53530947507941,35.49633019307288,41.08596462347387,40.909666776925185,37.05762925679037,39.67418462246688,44.119743262749864,43.054933054185426,40.15162811072335,36.17313644643424,40.88926744427952,37.84913404283091,36.036546953469355,31.75740932549046,29.50030182840013,24.946520434863693,27.985775992559756,29.74945054559248,33.61436860157659,33.52783098825316,32.42104642954166,28.24077874981449,30.29778712821333,26.725362748124162,22.53722605572582,22.578492464310646,22.068859849197867,18.68021162229552,18.834127213243544,17.665693156843204,14.59218118362938,14.853441889417173,12.614776034880645,10.822337067372723,10.229536711581474,9.951143417992531,9.471226852572787,10.642106213546846],[20.062178070657346,20.708213355273905,22.34767982743278,19.87007153815464,22.190509475934682,16.0666955766447,16.646543062845094,15.366907252607371,12.585874249596122,16.099715909428063,15.303794695632872,14.962987891530425,19.66480990993082,18.908110291784805,21.287510061131314,23.06381594316744,25.163301938108415,29.09695403990783,33.38081499123195,35.3110721686498,39.101000016873705,42.912042704994434,44.56089800380725,45.15956997300303,42.159192494658335,38.12714447351776,35.57889641190236,31.2596417242004,29.686744011883686,27.24334631936759,27.842220993192274,26.399396941869735,27.749149827032422,32.34393272552095,31.89935094326507,32.292752619575495,31.26330980319801,34.81600679242646,36.011701100683055,41.45331614970973,40.781327504157034,40.59323000293517,44.151765461199965,45.97662223309042,48.63416190276098,49.708314650610035,53.09006821709361,50.69617245769181,48.68656134245085,52.76611455952244,51.971649627030494,51.36565778833522,50.9185319967122,46.112426722212284,47.40827396998163,51.649993203915606,49.10467391358872,45.59944928908611,49.80318995366735,52.32465212968244,47.73999417737085,47.44396794573,44.05283460072816,46.63550242172519,45.98635174525258,41.736881861561876,39.07396560862703,34.8838642358046,33.46821391245679,29.446417490192264,30.113335510727524,31.709107106830615,31.89944883018524,36.40349229537075,34.11251349425959,39.42369038898391,39.44139906303108,40.42811781254102,40.51991481259159,42.91025487393209,40.39771872698048,41.37484703603906,37.27165191296502,40.24776541704906,39.714860357031725,36.2913834309,37.989828068154864,36.298677951686685,36.66143735767116,36.74501350027776,34.704279951831104,36.38173229588307,32.371075652238815,29.190902158418087,25.236506106765006,23.927713446041498,20.49485923239289,22.255318419993152,19.615777357810995,18.98685379643632,24.04434460888423,23.75411911374159,27.813111947656438,26.99007436290693,32.34223979637709,29.226332321801994,31.64824992661066,33.30433842431335,29.988061768839547,27.388586203655514,24.035880373397223,24.75148490771098,20.699437631265127,23.631031498927435,22.484564088815016,25.290788257313217,27.355342538035906,31.49679724579728,32.468839034460736,28.478054553374626,26.714551782079997,23.503443218631574,25.069386587555,22.543585161614224,19.86303528769544,24.282995400277137,21.918640460972508,25.935418874059938,28.300617079660775,31.787292897462276,33.83130886905451,36.566426413131104,38.683389310797416,37.5157296102367,35.83943166535964,32.08246992449925,31.31398499469285,31.044132421818755,30.775676546221803,31.119048203801015,32.9972574341414,37.07627711339991,34.90532918605971,32.036787628415695,34.445189266123315,30.89187814846214,28.61156550395564,25.507877301366868,24.462078184173734,20.01303914708162,20.103002126743963,15.746015893081164,18.32945041943495,13.977684884309431,15.090798026985569,18.576085689861067,19.15452447721659,21.617473214777142,23.54603873801442,26.0415380292837,29.386419008339765,30.89095794482352,32.86008238163551,36.06909500601382,39.41750323235938,38.71802459479351,41.77225568415711,44.985717600541065,43.67693917540006,39.85542764384667,39.21032378872717,35.36472620569859,36.85878416381024,34.979974814872584,33.86711452751051,32.493423944217064,30.119452272547502,33.95003197670414,36.26287450839021,36.95296893181871,38.417070199708846,33.85953886893743,39.27986586145581,42.469187850074334,40.54376252865442,42.54012234296516,41.92846575147443,46.42326297373443,46.25252255861407,47.509719572806965,48.06303692401927,45.71044774991021,45.585513543340426,43.21551042515847,43.00877395409283,43.388824225903846,38.783221227106274,38.85799445191018,36.229890259301236,32.86499611506558,34.89782190192922,31.25312482482242,28.826568856134976,31.560437217455338,31.982028775346272,27.175026561818278,27.88829818620522,30.62318853810233,28.890415005931466,24.718797637697197,27.274488096754574,28.424814406616765,23.93886943231398,24.09589594792461,28.374004726971066,29.772422299058196,32.56566101815849,36.29500543694141,34.92434775594772,36.49061409660575,41.261224356131684,43.93357574776218,45.746359211464586,44.45005751563514,43.79248349704143,45.328840893457986,42.32977858802069,47.097347496737015,47.22182937501983,41.65810792924727,43.64223659575085,48.27934335442136,45.33678857730626,42.817852614881275,45.992992194051,47.894841799383144,44.08755978180527,42.598350200859876,38.5908682418772,38.52775307589205,40.61959499150645,38.382727048013564,38.39754642559069,39.191866732273255,35.79506562441583,34.373942026196985,34.955324545949686,32.98497193057956,29.34162885349104,30.08617277551078,29.755019100927537,26.671811457210413,26.27892053194641,30.5761722121862,28.856245295394977,24.760659996741,28.78667217354488,32.336526854145525,33.16748233679396,35.6256563004483,34.972527823877094,39.4172059121244,38.58929602024891,34.262773589899865,37.97086216799129,40.546953125430186,38.044675755647326,37.45431219590722,43.25017764273913,43.15303410763527,38.88845091119941,41.21906552387834,45.963006455112534,44.881285810681284,41.699723617651685,37.5598499622516,42.32286552832852,39.05944131633799,37.844014682803284,33.16217246601465,31.1279156976933,26.431830911533563,28.942967707726634,30.55948159338056,34.36926020563246,34.11816846506976,33.45695742330128,28.78032076528569,30.727660499179464,26.61242932367496,23.509193595634123,23.592912594109475,23.84261205947722,19.89666405167235,19.694966305924957,19.75917498776389,16.832792359594457,15.297855759669982,13.966095950393605,13.552355957808846,12.381812418214324,10.984932030862748,9.969859682800015,10.964419247068086],[19.537733946305586,19.74212475085026,20.69247572468014,18.342609511870652,19.87981141000809,13.693769077970003,13.91030375348581,12.08344298727941,9.730894490022363,13.628555638422732,13.06460226365448,12.260312503201165,16.9419220591786,16.863576843417828,19.218142011875962,20.602169288866516,22.742324256057557,26.83743441561656,31.299084559307545,32.89766908683065,36.84329458361851,40.460423592722385,42.295932868841085,42.924106029429716,39.73564590256752,35.84520136644521,33.047344576642644,28.775280737803758,27.087109865075238,24.43550237517372,25.583364987222946,23.653700999323654,25.273019925741487,29.954699424379623,29.223304454626888,29.651972614479014,28.292582194473574,31.95475629165933,33.080793855882554,38.3490507280069,37.93318509187947,37.902175973315416,41.34917700193441,43.1864346221955,45.98141815455776,47.047646054806,50.39598555257092,47.88355005224545,45.804311223065845,49.783734372404226,48.929712258407775,48.208867903122865,47.7923654731267,43.02036282665083,44.28758306240349,48.636054786924355,46.21226658108084,42.72155086244498,46.941313841560486,49.53007698244351,45.10352595507299,44.97652855257687,41.63388135850227,44.45025716065724,43.63071169005759,39.27600169623103,36.985694180756774,32.756701994575,31.68875593882816,27.784187796358733,28.68731070163422,30.643863445812972,30.519800684565435,34.8185217793005,32.227885607634484,37.53653857643991,37.16224270674169,38.14146395815865,37.963007184033366,40.172945177229956,37.443647584918374,38.25939253809748,34.036444553225664,36.909810744235024,36.44695247036147,33.133831852959325,35.05873913390901,33.33974730709029,34.01314466847993,34.236702538213095,32.45574503545471,34.47653306824472,30.51667908208295,27.2392527062416,23.17764091011185,22.31811434223399,18.785662260570284,19.90841090027611,16.94304381166715,16.139023296595308,21.014971283936138,20.370670867369554,24.469939387760196,23.468252363403238,28.816589458666865,25.7440705426262,28.167381060225797,29.932850737818892,26.75311739229939,23.998385542997916,20.800936117552393,21.478662265374076,17.554086157228802,20.730427148257835,19.863214707176645,22.904116403792287,25.0474817437927,29.518306090308368,30.575154721297135,26.450552548716004,24.929559356320006,21.621732131000577,23.21548891935469,20.444431131733253,17.53248120932719,21.65537776393863,19.07205495343478,22.914977016364038,25.183146672918003,28.4675263183807,30.76665509126801,33.35515180715119,35.492371935334724,34.149300881920446,32.681135544151424,28.946775156259708,28.470092267596883,28.255022326540672,28.218020133088526,28.444747884924762,30.751096276282443,34.816356660233986,32.57396182598591,29.54702401081526,31.808792154194116,28.09838069102739,25.830217830702225,22.518313710642044,21.230808962248382,16.757570495924035,16.611554789528107,12.225877306159974,14.899130497273788,10.952036249892817,12.085769538622772,15.289951143965762,15.855409486550679,18.130203833554887,20.25822946658253,22.601032989513286,26.143945385962006,27.78009984028663,29.92224291222882,33.00903407677422,36.49046796813653,35.97925193728908,38.82387539022384,42.17482847979204,40.804370573228844,37.06631379080453,36.23197011740702,32.433845669839556,33.73961874406194,31.729040038765437,30.557440759644624,29.07071310268857,26.82851727355804,30.548677343934035,32.9055415142602,33.506075533328534,35.06954895039879,30.442298947180202,35.88344866877692,39.1206064744896,37.29222368361575,39.30149479978736,38.814133250799685,43.28968624791466,43.31463123152243,44.41042137826368,45.006586347642724,42.53162831728747,42.46599322129599,40.10743548353342,39.88840146523065,40.35913612590199,35.848304464994946,35.86753045963611,33.42308235811571,29.89657104534296,32.09951883957488,28.35822214939678,25.9772926611278,29.05036938632466,29.49468391717279,24.716480464130917,25.79395863321458,28.588203953254244,26.80944280029222,22.920732143447736,25.755119498477143,27.00721801642757,22.595726290664942,23.097287401751522,27.504593107255513,28.65562519381078,31.4674893406674,34.979404663561496,33.30371315672315,34.933171138222924,39.492288483844334,42.385259825231174,43.892352456835255,42.34503712824083,41.452385468973226,42.79361994313649,39.587174384595095,44.31588137522936,44.6516397791422,39.03612860306856,40.7990231416175,45.53573201492641,42.744449450923504,40.072037804683546,43.102916452625095,45.26319677718644,41.578685030309174,39.79479832065668,35.89411008607037,35.48130174754129,37.5958110845882,35.48773755670503,35.34491195825515,36.276294041125624,32.69187197861982,31.34445343765089,32.218981394582,30.155358632463127,26.396269722641907,27.46218925446844,27.337089563528103,24.304386471284698,24.04766986646123,28.52760006477387,27.025867781828268,23.12475486094917,27.208215984217617,30.74821900393692,31.40601915301378,33.57537283327618,32.595927256973845,37.04953127621534,36.57438592003048,32.151357024131954,35.573191795673495,38.40094879552988,36.05279601966091,35.16851002854918,40.96242443665345,41.19270968706369,36.90777026324896,38.931215688735556,43.80752039478342,43.01274353397285,39.85174617505158,35.861205990440034,40.81392759396687,37.77815195662758,36.658522612866605,31.962892389415035,29.58689414076889,25.000926017990118,27.769901364494007,29.024559077163424,32.788468413628486,32.19542723226177,31.291477867546266,26.408508836356198,28.00360371719471,23.849380744149503,20.955375288167364,20.6517130243906,21.017771121760216,16.798374577700848,16.898164009705944,17.464830940903642,14.345625343667091,12.347203238286223,12.108374698346028,11.733075901805224,9.94492357806112,8.097643437424212,6.981969903489734,8.383170180841415],[19.458199633888757,19.09088563943702,19.30389160506883,16.300976356300342,17.53867403569916,11.36137713322723,10.880586130083108,9.449336619087255,6.34173476661904,10.175796619858145,10.065736633755227,10.00332280232896,13.96121550858313,13.664739719998806,16.569303055506047,17.968460401951127,19.6289430829683,23.873071098950813,28.148529340845226,29.84212179135007,33.761937165497116,37.407076276580476,39.15865848181586,39.63295938076605,36.453837758380025,32.526669720182326,29.767490941527818,25.45559510413046,24.03983520101754,21.68624302905645,23.227793784754887,21.537319505506307,23.643786652189615,28.174985281274292,27.091705674154735,27.098174117531062,25.827184638004034,29.03778799782151,30.00859934390021,35.41968993199766,34.71586484423344,34.78288816223379,38.354470253188104,40.02644349043683,42.728633024731224,43.70078557986245,47.107376833181384,44.72063584839928,42.562983356319904,46.60965324961386,45.92112815770236,45.31294346343977,45.00141472501071,40.134377948272004,41.72579185169575,45.95048953114121,43.33698869737259,40.05940967242495,44.40322191086139,46.7302110023854,42.266604296497924,42.354430263126545,39.17177267287488,41.83849260925305,40.795034854493586,36.488385417269406,34.12779618251309,30.009098081341467,28.789514335025466,25.071491740029213,25.850326331592882,28.032911025500002,28.05587246695332,32.22168437622955,29.79386718978029,35.34154040954509,34.74494704670821,36.06955329170004,35.70807775956735,37.741736665999596,35.12694030581975,35.74490416115402,31.773519222381324,34.53637705082884,33.754613811251176,30.48045581431358,32.340165353321815,31.029194110643168,31.485108760488238,32.22862450719324,30.307243353486086,32.56523426622677,28.67263888484569,25.591654584969373,21.24531957693511,20.75572284012898,16.86923688715593,18.31191160572815,15.348464517734485,15.529020872251182,19.482851206837942,19.07195429260621,22.58353665397706,21.657634693089207,26.72988960916213,23.53836159324769,26.378367799876393,27.971805379738246,24.811818177158894,22.11099206566087,18.623736304641643,18.754426252610752,14.54813249686621,17.403116259736166,16.390744245047102,19.33034737298344,21.55339853461158,25.97581729009966,27.190109728612995,23.17919973269367,21.55805976178544,18.174360363313212,19.621547724450433,16.826963968236804,13.973124072763609,18.27844732770759,16.21564876513776,20.01303765255581,22.56008353639112,26.03145689834429,28.322586308425077,31.160336017092405,32.95737852833907,31.749093171925114,29.910895976523314,26.01179507013847,25.58348322268338,25.035377282858224,24.799154187368405,24.980966446311637,27.159703741205934,31.221188144423127,29.0220926098923,26.017659332376667,28.382200322403857,24.819510729669464,22.457953509983174,19.3488250777984,18.28860986962306,13.863960573367015,14.423934167606397,10.474025963641033,14.265274847017942,11.65746314724975,12.001225016099982,14.329732070457393,13.969759135346722,16.26287947691251,17.879094205361387,20.131929300260627,23.18463354396379,24.778790292119638,26.616877729115682,29.870444330120883,33.17408202712214,32.555573442531866,35.54693486116835,38.821771624368786,37.57607549089349,33.78061761172356,33.062314331779234,29.166590142924026,30.604095357265187,28.77944751721019,27.784839591720793,26.647190509146878,24.374347147912427,28.498636184989014,30.42876966744672,31.14348293301756,32.315700874555226,27.86188275941042,33.28076586009116,36.4131949216268,34.39608044802321,36.32560072301773,35.713584648567235,40.19844622220403,40.01108464440826,41.26369721759397,41.86638984304548,39.54873546292115,39.54298252794689,37.29316509232999,37.25935664103685,37.901282102398696,33.378504124684646,33.723287850900086,31.4737806613893,28.08703356250858,30.741926422403182,27.21373453915319,24.49321612898702,27.72055121336624,28.661529126045668,23.91990044694796,24.57882912212406,27.846819563343754,26.661868809788057,22.521344191540784,25.370548283415605,27.101582165173415,22.91346911673575,23.03789505742161,27.62640877600077,28.330662749839316,31.634955592671595,34.37790788472396,32.77255187508551,34.77174831654638,39.20927715963012,42.425571036388924,43.68330866810577,42.19135689510852,41.01586460304417,42.3113124872689,38.928827478880656,43.497937298889155,43.86659935138188,38.02775566221593,39.651859871820804,44.29746930033443,41.428583200836144,38.575520716874074,41.44041394565411,43.592082619962824,39.90265980102352,37.764934632228524,34.20088345104291,33.78697197750135,36.1923744477876,34.51378445577778,34.48830174429156,35.89275207118341,32.113945682748295,30.481002024432048,31.961465567246208,30.11951184978579,25.978054010534915,27.173417092071638,27.664639801803887,24.80159796778375,24.229859437534344,28.997123503650553,27.952287125254216,24.043484170636695,27.84103137923568,31.5011353395297,31.745209190088605,33.789206593508474,32.45804479201644,36.83734803268242,36.54785817095204,31.777263934105616,34.95422421117355,37.864363908128425,35.48171482967998,34.14801051970691,40.03629295863261,40.342359069489504,35.78823715345164,37.543799966262505,42.60348106104728,41.84366807182602,38.518503543174084,34.498912739878264,39.480547247613046,36.407248641666094,35.7347724981626,30.832590783094773,28.538070564764883,23.998663984323674,26.440495430648845,27.438412321583453,31.08727524473146,30.29773836268777,29.65489117006549,24.49018455687401,25.9700683022766,21.52823880387494,19.499296314429287,19.314582503630586,20.328116684321497,16.004425650821588,15.56916254347176,17.120752063508903,14.484362927214907,11.05564714638168,11.714026936942307,12.641438464153916,10.807099825551871,8.717472438003574,7.7104442187267095,9.585677957575585],[15.735879671608053,15.052834438561838,14.964166804659985,12.678013020284327,13.574802484875471,7.4323374059386405,8.182335087937822,7.189846165148858,6.5516446851055115,11.275986196830665,12.519209024842901,12.280698074963635,15.205699275473954,15.73123336134395,19.10131043888572,19.878816727538062,20.99436202899525,25.563371935247094,29.704148395232636,31.034277046676927,35.09468967772663,38.424440324129,40.319924839971016,40.53682144468991,37.117208378793826,33.399243386236854,30.325818597070604,26.104831693348647,25.02708487988921,22.654096763253982,25.447971602989895,23.05293175905236,25.702124952768568,30.254756055210095,28.59252813728057,28.45221226241012,26.514423012120652,29.495731218629334,29.977534114786366,34.98563116437019,34.52939842076635,35.25036339589554,38.721048015058685,40.101465752076486,42.90274854348512,43.55252932243224,47.015386413895,44.67409403985416,42.07695615571256,45.904985865972776,45.4640644762478,44.638194630127096,44.64679060126786,39.78936747859516,41.683220900640286,46.07858270527185,43.60080792292195,40.61988032027319,45.06107713710314,47.292060026700845,43.16134855442799,43.75245879160516,40.79333364020636,43.6808372777776,42.198872814909265,37.81984294421474,35.96652403282141,31.97539998854975,31.005848625384093,27.67313029593818,28.473261539967538,31.06008333827913,31.036954892401848,34.861364366254655,32.29863326155346,37.88945474342797,36.66682388024636,38.11509093630808,37.24025303870047,38.80864205919001,35.787872450202066,35.815933321037036,31.649413202095964,33.870232910115256,33.033696561403744,30.330630187373238,32.80221794404455,31.74041403838667,32.75938650846789,33.98172954305254,32.473483277495326,35.23607629827048,31.48882997369936,28.390713768327757,23.9708686521367,24.09401649286076,20.16952620282358,20.791458841145943,17.401618509193906,16.9602518505269,20.460507110883594,18.656663584657547,22.327380223700196,20.19257880373977,24.727922337785316,21.019339851589987,23.39680284604083,24.57303412503863,21.049875072116773,18.76960384610749,15.05606347285087,16.1948143826152,12.513131842980494,15.975558797449565,16.389956804914558,19.187827356062773,22.082664984924495,26.585523527479037,28.457487268329974,24.691944647626258,23.09650038642082,19.53308428295183,20.096508849514358,16.76271287552874,13.153112319184704,16.411640123858064,13.064532056271572,17.133292897020265,19.29129512810595,22.95636430187595,24.710050537633258,27.522608282414346,29.660021904641287,28.75871979203676,26.958993202018302,23.443638513920977,22.42514409272027,22.65737383933534,22.96780127870596,23.674826493312786,26.366002940007206,30.715450089847927,28.970280938755213,25.72467241929909,28.205664244780767,24.789873836701194,22.13209590301665,19.034533484735487,17.253577810542154,12.892682900475302,12.463660599928627,9.46909457656543,13.066738821059712,11.34287119498787,12.988104950425202,14.559156987546602,14.289044815457357,15.319537734097441,17.75874786349222,18.605652853647005,21.729848972775745,24.277686368047007,25.63556272531853,29.078093238018404,32.0605787211235,31.0576439121011,33.759803340605714,36.99458380597444,35.28879575565458,31.587982270660312,30.801792139224183,27.263860929411607,29.0145672116604,27.271299341414192,26.652587039500162,25.459029728232235,23.992474210709197,27.785108050983816,29.583523086559715,29.812844193054392,30.815244382545103,25.77830910889457,30.91930851975508,34.01984022351126,32.130580617887844,34.73336470740116,34.67614045073357,38.98640769786841,38.727986335135775,39.472635571541524,39.74027928600987,37.24837053524678,36.82292671885838,34.29957379989859,33.961996723984285,34.25737557425163,29.656479351816913,29.74357300833372,27.221178970311843,23.87722101904155,26.265540001796868,22.805435175736296,20.057349896588015,23.090438977407125,23.99462591747367,19.232824615054316,19.911458480980997,23.11296444487352,22.030692062085855,17.856797608187097,20.778556006996876,22.588214681640956,18.539206949947726,18.776857109629805,23.37551580489654,23.92049475049245,27.220888401811987,29.84694515915872,28.108956699951936,30.134942215031497,34.513695488060435,37.823128323516244,39.004386148340956,37.56612195970416,36.38597063326099,37.78464852626071,34.50999785195147,39.078793766841606,39.28470655855858,33.44043663985248,35.2285819766914,39.80561979324549,36.85693155768985,34.11291810561797,37.134326155691824,39.1462849418843,35.417617264412975,33.57230120590806,29.768950176862038,29.63004600481347,31.95820245487695,30.1523692310378,30.400982354557996,31.870465159561707,28.323276175026844,26.337962280772516,27.73666887822288,26.252450376370373,21.942659255563537,22.77908799126077,23.54309810197161,20.798528647265908,19.8322396149515,24.703644037963414,23.960274873254466,19.995806943395948,23.53169751290172,27.254082308114914,27.266523070111745,29.31555433935511,27.95787370592839,32.301837383041416,31.943097044441153,27.08289243210597,30.295317104996936,33.150279641916704,30.75118934606509,29.439898215614157,35.33110689210277,35.62422359766064,31.115322911116685,32.92095858627256,37.933970316132225,37.21270376816921,33.9549153669088,30.01769112061845,35.07685295661981,32.18767338831452,31.36846421683983,26.57830156633981,24.030375641625277,19.582438237619186,22.3666698556912,23.218945286494932,26.893406707184983,26.045920911918532,25.143646745621623,20.114603403690747,21.72113347465869,17.53510452205734,14.888225568267472,14.92509729594804,15.926322630165103,11.992438954910446,11.038266690722125,12.502800269098751,10.297098323159428,6.648842689554639,7.321316935749575,9.04532216073749,7.711301957075887,6.497649029182933,6.764683074263269,9.775726550036692],[15.84113118880889,14.568879654627375,13.766051252818023,10.337090682933775,11.387540427969638,5.3221230067455,5.523976867650617,6.610673041249564,5.312078657617987,9.345956540445064,11.474044691471018,12.428011579718527,14.019563778711984,13.931970257337676,18.04762733351581,18.94397960548233,19.229129789871195,23.879310387130424,27.56011973578749,29.152283386780457,33.06909035386095,36.47910298247001,38.15596963945101,38.088482969024994,34.77408815329113,30.97226146140521,28.076816228190854,23.825775411150396,23.31399472758683,21.53267994094318,24.657510267791857,22.787898079244062,25.875165483195516,30.139190432916998,28.163355181323503,27.447862593460027,25.74653571324781,27.96975482332106,28.17606071981674,33.378589056266996,32.39784029522478,33.283643336445856,36.95713371246197,38.037592422323684,40.62834057813515,41.08502815697049,44.65297776035891,42.579260002421414,39.841294389777396,43.77579496780632,43.65007990719553,43.0129553788844,43.20070498113265,38.22092864783821,40.606015776693326,44.77898385995445,42.00999281946158,39.369903762170885,43.9523472219415,45.774736524036534,41.573943207501024,42.422728774050256,39.69241460609994,42.265806929075914,40.53291468842915,36.2966471490906,34.223184359852944,30.462549159764876,29.1303342007021,26.091728369786377,26.57028599783836,29.27618757414783,29.62450342113877,33.30002722244146,31.130151938876736,36.972330139732186,35.617193535868374,37.50555010305653,36.494552030810176,37.86496468742774,35.08166861898658,34.859789809288976,31.10497768816709,33.1335480436288,31.82138725339216,29.232698763796094,31.555855291330083,31.094391804532545,31.725751969768446,33.57446949017956,31.81920311781475,34.715767291011595,31.0795055654873,28.301203508358586,23.678722827078396,24.051903704751624,19.87380307349345,21.080204228856992,17.928162271101552,18.542678058031395,21.041981807239566,19.614479831020425,22.466430646900996,20.41643970368075,24.384819522049494,20.451229721446914,23.277912719279794,24.024483271351833,20.406171666621614,18.483764122025004,14.240891307443643,14.74912303363567,10.719377070948498,13.502850585985389,13.918274862755306,16.253169642836042,19.412652570362223,23.57371249123231,25.790700975915875,22.3885564219417,20.49464644742868,16.888553096957974,16.879096917102263,13.513274314945015,9.87985636808221,13.396084079867382,10.770759045793161,15.022911788551188,17.61323289803926,21.754036258359346,23.137085946345614,26.41912466197201,28.095076444190216,27.60222304093999,25.10677348052895,21.430966218723366,20.066649631069684,19.93044068012679,19.875687127865785,20.78320907803984,23.07388266182739,27.518652852864648,26.022874553037564,22.879214219028405,25.65212602435599,22.642902060606456,19.780674769835905,17.215424266140346,15.829035952797541,11.756745109325733,12.394384596168798,10.485495387928763,14.970095230710045,14.324382223986008,15.230467300585161,16.048245982181964,14.785705167121423,15.7174739717613,17.38571819589552,17.900047418407947,20.083707571095562,22.666134507067728,23.301923963275645,27.110456681757512,29.63859420403312,28.23321154098126,31.24481979428251,34.2511314187824,32.66402870488542,28.830096006113525,28.356324049027066,24.728454665476477,26.9056053583427,25.57047065451853,25.342108098548497,24.722667226913032,23.302931194336278,27.574620039242433,28.735917283208533,29.087403501911545,29.4362887787319,24.628273045683414,29.609582396486342,32.49666669394126,30.30244310902788,32.91597631700081,32.713073563942494,36.99289477984018,36.27671013038457,37.25109216043447,37.42195776124807,35.20953672916917,34.73559023870395,32.307814476556366,32.185022775377625,32.58484441407998,27.889024160204826,28.45254795638622,26.035782480072033,23.073900065027612,25.914406834738408,22.906937083783227,19.668086805250947,22.563771149016134,24.160791957362015,19.52963427841097,19.25450047047526,23.06428443185858,22.89861188729303,18.2506605794111,20.91932958282516,23.310944670774017,19.629694243739326,19.094618776108558,23.770338083861628,23.82590618981059,27.763678619661654,29.422910323768193,28.000012252574244,30.479793324741053,34.79068158138303,38.37244630428524,39.40811547652547,38.23285688305789,36.84678624104636,38.321779674292536,35.00277181671518,39.34540342481766,39.4223696557124,33.3556787566935,35.12368095253741,39.462056486368034,36.30049337840536,33.45122808671556,36.354327208553066,38.130931644656755,34.31145994158688,32.24097489467193,28.82333618538035,29.00644435652656,31.691851695313094,30.38413686337536,30.94420774231271,32.92883863921027,29.341239493986905,26.910117765518184,28.87049968033932,27.80216309611645,23.156642443435896,23.86690802847033,25.297653929834947,22.808088813434026,21.33810841734026,26.34646774881021,26.069912135680006,22.055868332816054,25.088686729217894,28.912614584641922,28.4821312183486,30.535454662261596,28.957832863397496,33.134865352899475,32.77320731214529,27.559221845235076,30.60675937043346,33.35643838340551,30.819499826966,29.106429656059202,35.085241378498374,35.24448228635601,30.403246328619915,32.05184038395444,37.19691991056924,36.325637952710906,32.8407145494874,28.77604200316566,33.741132565185424,30.667587497887812,30.407667638994617,25.360741312344793,23.165558169876654,18.76272727491661,20.871364775947853,21.575057607392047,25.109925448385166,24.219794652924897,23.87003730767189,18.621763323164704,20.377376717073776,15.844377579022607,14.375111245552853,15.007132918120195,16.830719570937784,13.276404516839303,11.180104689123986,13.62146499997884,12.45672002661972,7.573127423327253,8.557581170178235,11.766205766548326,10.942936152215161,9.818195478007633,10.072930861564519,12.862019284203116],[17.552353359647395,15.731815662281473,14.044436359372522,9.567154265972954,10.297288762313334,5.739318540874915,4.301621749338492,7.56007195232189,5.988377635302304,7.96978744363107,10.996393260502671,13.086532984574104,13.004978995509564,12.284124872489055,17.027769131266297,17.95579186806842,17.256733082416176,21.879953761440667,24.984652085052126,26.813339296861322,30.53653918841564,33.98770762202007,35.43110420799153,35.06768868837029,31.875032969449297,28.02281765147325,25.340849307735315,21.119962700972547,21.26140688563694,20.195859673416685,23.650548140222963,22.36994286738878,25.864199303759737,29.729596769707413,27.43023173365153,26.098863284476828,24.685560285468306,26.027788071539764,25.934776754444155,31.301867237467953,29.752995351351398,30.79278079362489,34.650716871269275,35.41170273994581,37.76574017658381,38.032936173492274,41.6920533362442,39.89817178017917,37.04895283110131,41.086147562029794,41.27295945095477,40.85279156716809,41.210227774274045,36.135455567063,39.014977925857096,42.9143216329258,39.85080684625108,37.58919439985813,42.285078216098825,43.66378491277056,39.41653209476368,40.539411584045816,38.081549306707174,40.31359184182805,38.312417520555385,34.26095363831394,32.00399904171348,28.542785930557518,26.876084576442736,24.24573508058821,24.393214098708565,27.24656727591843,27.940150988051506,31.35914254986768,29.610246145690684,35.6424676439726,34.117227720777166,36.458632543863466,35.29292502822083,36.426859786158815,33.93150189603043,33.452472790619005,30.203673873576527,32.02137183508587,30.21022898370209,27.75588046276534,29.86573237341114,30.064576168765022,30.269250929047082,32.78172188511125,30.807813233415377,33.84251725603984,30.393282077584665,28.005813781957066,23.276945980432135,23.972105450877855,19.67400811270788,21.362355730842733,18.56878728830021,20.20921230034657,21.579636713237285,20.620508337774087,22.505085528489296,20.68957247050556,23.98380194107137,19.993912939135186,23.296211184697782,23.65136719953817,20.14067542673843,18.562737604440013,14.051507538427977,13.58387538862999,9.392436666493984,10.964540641484277,11.280382569748108,12.940133569297364,16.350570280588098,20.085391547710525,22.674979709218363,19.734712754962693,17.573057803283493,14.002525784303414,13.26635195557545,9.89273169516776,6.3487368720992725,10.223751920651402,9.084438861922395,13.132803645938864,16.200203736934604,20.664108146421714,21.760166057072972,25.46475074492873,26.52853224800104,26.406964127090884,23.202092155563097,19.347520219148432,17.803848453822955,17.051119012330844,16.480557931577874,17.51131106980795,19.311979792459688,23.818644382841267,22.564151270758224,19.560647643675292,22.61929840229317,20.10903539295922,17.081531063225928,15.238065177392054,14.432668855609466,11.023514678343533,12.871884055253203,12.156785949131834,17.138855505581972,17.47557802480142,17.66559035465696,17.72227143769422,15.542153985220066,16.35274386500246,17.065248079331862,17.26827012093573,18.28580757707356,20.762178276736133,20.59142920207516,24.73753457478506,26.765147309630937,24.988338913293248,28.338041703545873,31.099447655600834,29.72111672108777,25.76394952432013,25.626821483864287,21.8815769951283,24.453170917562726,23.58366211570414,23.760204168477895,23.79842858362296,22.415517403988314,27.13108555325571,27.580604792231373,28.09948596710919,27.741481551144975,23.344865697129716,28.100117045747872,30.724419304541957,28.207687204775432,30.710784892818417,30.297824499666355,34.52474603993731,33.34213488828537,34.607184496521,34.72453296782279,32.85033287415001,32.407375107649585,30.16314052093499,30.34124430805507,30.948896731384636,26.255873835455134,27.383683129495083,25.24736063428757,22.71976060923479,26.082096661061215,23.580989002881797,19.961998248787303,22.768956337905777,25.046727026757427,20.71260273193158,19.617311789039032,23.936058695859316,24.63051523083564,19.812283615389763,22.208964418226014,25.08841302536049,21.864915633365413,20.74968025886597,25.356778767603608,24.88710103952414,29.3386575037881,29.957972432084098,28.80704195426292,31.70078985215806,35.81562709754514,39.675524591346836,40.47405921545469,39.486596129910716,37.839639892477294,39.298585320442726,35.8930042392217,39.94352326663085,39.97845576243694,33.742282974208216,35.36685122172194,39.44699428802981,36.16027356411142,33.16619117253786,35.830319545914215,37.4402511386613,33.617224610700454,31.17232024474219,28.316561712386523,28.678620956199932,31.723817386281915,31.018662290047924,31.795935106753255,34.299714625946265,30.635935912164133,27.877276634773807,30.456917171809035,29.72680707446544,24.8486337913476,25.571779982692945,27.612009870196523,25.399050220619536,23.61498471860519,28.670564924810204,28.833667565168735,24.916694289549522,27.49910741488913,31.330824472345004,30.48537637219191,32.42038045998054,30.56475067442562,34.521624105631766,34.28090262105552,28.799818264775116,31.52563849151603,34.21457799098341,31.633703013119412,29.44018098848091,35.40895720368656,35.536949870479646,30.414901484105357,31.74960198268857,37.01427519713961,36.086788817175005,32.40720994507256,28.32211385643277,33.14396606525627,29.97503927831019,30.380480117503556,25.162636721679345,23.333688663555524,19.19115099006228,20.508611016345643,20.898732758561767,24.135804482230377,23.09489730314525,23.333889060284434,17.923950029412683,19.602675817806237,14.799394925612024,14.982778683811635,15.981410432321914,18.53965330554891,15.37962864392649,12.613047584307667,15.913352123738758,15.511385201810477,10.054293746276398,11.530439871291497,15.334144193845654,14.674738536658314,13.49622674964881,13.676985344147665,16.240027009252664],[13.741266044687238,11.73627670183557,10.515977438209644,5.321554015807644,8.652094109026587,5.799736908238356,7.627746605585083,11.569863851231165,10.92426034039709,13.152853289148995,16.10325485950368,18.183806268741698,18.190950910861083,17.203419962691477,22.115081670479412,23.125118288637626,22.0765535462145,26.62393742023948,29.247545601321775,31.232722376376707,34.771236269860694,38.1665579341299,39.40834162362074,38.66915101458909,35.60157277617635,31.803859734519484,29.309275826563162,25.24064313161683,25.91425475781643,25.147658097517496,28.786007044840392,27.546433968230122,31.091567041511198,34.944181482042076,32.54394956438414,31.05583857916328,29.554883677922206,30.487854065541566,30.004982124258248,35.134600108532716,33.36533902587848,34.837129557463236,38.73435056621468,39.09761980632715,41.247006261221365,41.11557966011577,44.861706904899734,43.40753977999849,40.20373366802211,44.11992683970626,44.75353421123333,44.33529474761864,45.018257703414726,39.948429829263745,43.22763916114813,47.060682276930216,43.92565432038891,42.02688944748366,46.77885142382957,47.87274441197231,43.75429129718238,45.16411926066549,42.89791791845574,44.9534985289071,42.739019410932315,38.82818718784644,36.502854090911406,33.271216938269646,31.312706652132402,28.900178278453705,28.7105229728893,31.42813422415466,32.5505776095231,35.92555498983043,34.503659240982316,40.60743743282588,39.035355252119516,41.53789360120431,40.26359468003876,41.19721185383104,38.672411732984614,37.855247767106206,34.68030187402055,36.09770002366557,34.10029201193977,32.09493307075278,34.38632704970523,34.889175585888076,35.13557656088178,37.900997493882194,35.9201477110614,38.96204027756597,35.54004816513246,33.21375404396528,28.47759850115736,29.062564104885087,24.728661369843106,26.57424968593735,23.71127745955251,24.939661068389235,26.580158249902055,25.042293310561764,27.100637273772804,24.594838146568502,27.29646169950739,22.87426634936712,25.610648788360773,25.21916744512075,21.18162872012992,20.557300716973607,15.762247611097399,16.424343723034433,13.098012153581204,14.479868186725904,15.673758892418142,16.501415303506924,20.237033732373913,23.188533435280462,26.32455406338185,23.987699698628536,21.49880110841174,18.092382597755577,16.33806147561918,13.23862132473247,10.043149248125902,12.499878831631342,10.625647758589643,14.920565955126605,17.5354029343596,22.480487631571297,22.212023282515712,26.20529899822425,27.442533454165492,28.156595580582923,24.51419183163963,21.251822397413136,18.249443946454438,18.350835935793114,17.891494986322346,19.87875097295604,21.174031581315358,25.916092224327077,25.47134656205851,22.659473945043292,26.03529675626407,24.13507829861236,20.937791363731694,19.629374225887325,18.633462546501892,15.588234607722935,16.733379073501432,16.37610779169609,20.864415542396205,20.807828679294698,21.885899293388306,22.20859548517921,20.38406633070572,20.68967263448065,21.8378762547347,21.166372439136214,21.80749795099068,24.87410408923588,23.814566996485347,28.259185503217317,29.515753891457557,26.866119740858945,30.245380285877147,32.53143634987168,30.773121592693933,26.84513812572229,27.127869829732003,23.875979947842428,27.184055912020067,26.76972814258951,27.48548154449619,27.699226157195238,26.881548040119824,31.376491092967598,31.59181543817212,31.780712742585436,31.001870939461085,26.31509256302676,30.51472566430934,32.87947214437044,30.33068448144578,33.50028459340188,33.463583888497716,37.418210433954826,35.716478035836154,36.7120423675911,36.318266447657145,34.59610121734959,33.52608553800402,31.01674742436183,30.916876069336617,30.936681062716286,26.03446059348729,27.121610852360174,24.36626506673604,22.492068239619375,25.276968634355246,23.318207454389235,19.51316150109193,21.186874949281286,23.687367372219715,19.4660710347669,17.07587980278952,21.516927448790693,22.943479801605985,17.379532028377486,19.117961401555203,22.29435383672112,19.391046174274422,17.259105163284012,21.71871624339102,21.10398261306468,25.988385234050188,26.166998824050786,25.6191051367733,28.72157082431247,33.07666856295404,36.82559177877627,37.9571831964712,37.589938625960585,36.23573679818189,38.16583903895988,35.24782937396096,39.22305172163462,38.65052115304277,32.45687938704576,34.641748869516476,38.307818432025925,34.58216751541313,31.993217633354785,35.02614365247111,35.84893370922663,31.732197641744154,30.16076477984673,27.028319627633994,28.55529759826809,31.53982297137788,30.669374100908584,32.12984887206502,34.612831329429625,31.5405982115785,28.205127231307205,30.347116665842172,30.286698682740454,25.422979530761673,25.169611180540038,27.372529401629798,25.324354957894048,22.769413699395308,27.61821736636064,27.972152276569712,23.743735918850128,25.674202313553316,29.607594891070473,28.54643431316604,30.93595893184235,29.502430372228144,33.28073928926348,32.376551445553474,26.816849515843845,29.97513434139823,32.07317037724864,29.138802195826603,27.305196180904233,33.27904757859053,32.72284967428635,27.505992578592437,29.403274559288214,34.40953326186926,32.910399080363185,29.131032391870193,24.753281633605127,29.28441029134635,25.750218666618075,26.184053377261986,20.861833429937064,19.640154120914822,15.386923184391746,16.055617435597018,16.944149771739124,20.276866078010006,19.889859039508934,20.694341866564645,15.911189925860437,18.654964774493305,14.406835604871096,13.89556229733099,16.2310023419339,18.66883361163494,16.699109818379682,12.768130442191987,15.071965051317239,15.812873521697632,11.391032659359,10.587314261528775,15.202122892278409,15.789861412098514,15.498990836118756,16.266987294952035,19.02473686695172],[18.70970774795759,16.37865051220299,14.278162673324038,8.918177407809711,10.967178836764083,10.698683897307653,10.609914729174962,15.070090150827546,13.987054596186894,14.124186271320276,17.358388901542394,20.424456893772533,18.816030746410487,16.980230190547644,22.162613714757956,23.2595679132235,21.009358243510086,25.117270601807665,26.64140718789604,29.027964596361702,32.06359317489058,35.486485517516485,36.25064887283213,35.026022204891646,32.32438436178233,28.52534006780855,26.605649372346527,22.818871577089205,24.500375082541886,24.838328546168324,28.52862584768667,28.23084720579901,32.0761181694102,35.303075378740964,32.636596321406074,30.37168997034489,29.437687678288288,29.080709413597738,28.20500048191503,33.446450513718,30.750361248623996,32.35390222089509,36.4587964281958,36.30363574815246,37.957462361336106,37.514073984802074,41.3442504307128,40.42413457732837,37.14958688398077,41.18155555340188,42.32010872181719,42.29569659560033,43.203006875889294,38.091138784719384,42.03350944785865,45.34565963389482,41.78078029713586,40.4815899954026,45.29892578271428,45.68820886639002,41.5202131064277,43.25513369725988,41.422339129705264,42.85119071059043,40.33248001341343,36.836874987510235,34.17284202518689,31.518011199543732,29.0111493812009,27.29411805038388,26.52845855232054,29.240875437587974,30.94501306121497,33.88045647223913,33.21605183394342,39.427484010441944,37.765226519891804,40.85511353976492,39.47596970648666,40.11619214570349,38.13753455950315,37.050615282395064,34.71569154638191,35.86590040951119,33.205334051640236,31.40256011471507,33.210876051349075,34.622619048108064,34.15912421447487,37.71672010345107,35.409163236133686,38.46934594334518,35.37248354925089,33.646760676395914,28.948429095819158,29.81152925870126,25.516953183464985,27.99822227105415,25.703180572574677,28.05472663088131,28.506323610633036,27.715725736523446,28.605657483390658,26.6324954659475,28.4860099017148,24.261386856557692,27.523870680373417,26.694763135972597,23.052116789390578,22.838096888241605,18.13281214758193,17.455574466777296,14.438811279509014,13.85031040099315,14.611778917332092,13.936869133850788,17.584761987825505,19.22720927980492,22.865229671293758,21.5612070404715,18.719020815767728,15.8330397467993,12.799287199583777,10.592084025729056,9.060377283626856,10.921618041134048,11.939999491397453,15.082735476543995,18.07182216369524,23.084122813637393,22.376438450376458,26.81641362120507,27.023729094380005,28.296259850760258,23.691185671631928,20.376998713540914,17.180199758224436,16.18340958164823,14.644292913424698,16.87793171375944,16.734145964961478,21.392025829593244,21.57119949101986,19.305346926737013,23.04490165567073,22.196729143195196,19.022716642293286,19.038602136529185,19.01589631985706,17.092320614113007,19.440369619769946,19.964452861330855,24.875403409623953,25.612061210087248,25.85010464963657,25.527055589654896,22.84531391990832,23.191652786670836,23.148041832849213,22.329810803913098,21.35094665948383,23.951979702323612,21.650989273182944,26.403045722676364,26.706912078086468,23.394594813253896,27.333189435215683,29.022136867842686,27.719750841134413,23.685442981067105,24.675002722276286,21.406537028219656,25.283561068211,25.67893640593692,26.95175150987524,28.088492247715497,27.26118039507817,32.20371296951138,31.465166599651045,31.937598815363135,30.16898744462207,26.356967907648723,30.045245606963213,31.90751973771294,28.91284780099602,31.753998035464218,31.32531416788386,35.07900626332677,32.57307104738143,34.09981468343971,33.60842228166731,32.5656781703484,31.563426588882564,29.45491532599072,29.877879970546662,30.23041177592562,25.516616089106247,27.49848143987257,25.29986533646231,24.197651168138062,27.5929678290458,26.37550786498796,22.302335836428046,23.775831082029143,27.057579292484093,23.41332100349022,20.17876699664682,25.001876737705334,27.39762427312722,21.969027872970276,23.280089057084755,26.869246187227375,24.59053368505447,21.96244521727125,26.06237293621774,24.81231129874301,30.152257993986264,28.882542058454543,28.797858635042193,32.35283227303911,36.32350253890849,40.34926144497509,41.15115247467512,41.05107509158332,39.37020293945146,41.23016019623511,38.23574006796981,41.73512014543248,41.12771791391155,34.83884115392707,36.754144698791514,39.962573391181586,36.13147470461151,33.40168810337034,35.98787565268938,36.50422352522849,32.47889622906545,30.390423246619072,28.268569228393734,30.015667642003333,33.420736898013146,33.41435698993535,35.07787263429609,38.16440784033992,35.00043717148826,31.40541385796535,34.28409435553109,34.54263949317258,29.525965865214072,29.407717036830036,32.206582546599016,30.458553170001686,27.7480305507272,32.544010704327064,33.33038317811086,29.309105758030743,30.79779744430705,34.64123090956888,33.14830587381295,35.31952708894809,33.56084503503682,36.98580421020635,36.27856363246885,30.540765685585566,33.165994975887486,35.12782109474858,32.21741741440497,29.776767580948153,35.54214323386877,34.92731663591693,29.454817166831603,30.827349733161185,35.85300767193693,34.25951902169133,30.27431651033662,26.007922405472485,30.060091581516097,26.424362191203056,27.971634886224596,22.637841396439235,22.182873167428223,18.67466228741997,17.910410924943832,18.269439072539477,20.809036875036554,20.29527563641039,22.145214312383334,17.5515548172156,19.980202029900354,15.791316329986875,17.595312220421253,20.003743800191565,23.08041105323381,21.330751434797964,17.28805097476884,20.352843326708598,21.449560966942208,16.53250858884285,16.538504911728552,21.20081223856116,21.621028206569477,20.982363403409494,21.472109646095316,23.966684276603],[15.483200288406787,13.519945041167816,12.656205910274553,7.538452834855204,11.781335816570055,11.332211247795989,12.863242890950344,17.155137424603492,16.093768931115086,17.29963434636746,20.229659175304484,23.011359694510084,22.37003209193599,20.50530083450627,25.67359370071798,26.97766960641235,25.18902683125728,29.396312068957005,31.1238700018054,33.59304095480184,36.669734689641786,40.16260097673722,40.91989339129612,39.70522900453938,37.04598410851681,33.21051482580578,31.29558459415855,27.443951396517367,28.90709509478038,28.92958443142287,32.38966890256077,31.898541755995144,35.542591393098824,39.05685015307708,36.58830443322107,34.58830572075741,33.533585641562176,33.57074081508339,32.77206936418641,37.94739282350242,35.42059001792002,37.04270538560338,41.126750454207986,41.006679338957156,42.6766392687057,42.17668533733263,46.01076686347267,45.11722350744555,41.76595893580509,45.72923844530926,46.90243602000922,46.78708344978696,47.727434650493706,42.63309027076238,46.47802786350721,49.91616308050396,46.43090975877605,45.03514774944843,49.84463842852827,50.35355821814023,46.17973352563841,47.81846041201484,45.86125960446635,47.3474046769759,44.94453630934703,41.39608033904134,38.63225958287248,35.846444241662134,33.25442616149483,31.256392616626428,30.467146349773927,32.92949806093518,34.758615180419255,37.97538227161013,37.28988381881393,43.52453979988109,42.072703888232354,45.005074667928405,43.75485945534816,44.53580320338507,42.41735295522018,41.39938895188788,38.77637924118824,39.95329894841221,37.478365419894544,35.69437866482144,37.66116305834148,38.799231638177986,38.499396654842464,41.7579759434184,39.43867964951041,42.35102280606118,39.075509773682086,37.13704914205662,32.39780970098689,32.90771443321157,28.54463723275153,31.105712453138292,28.58778525274368,30.359957826811563,31.636059724573872,30.461084786234757,32.01177902226264,29.65041182375637,31.74686252896772,27.28287568714338,30.06874033003528,29.10088235415059,25.05914304962651,25.1030807519984,20.288804716980536,20.64045547146137,17.67402360948749,17.906773298412208,18.863178369644686,18.556739933509867,22.189582336902014,23.853199267282168,27.3731738365208,25.949148103635956,23.010204087903684,20.03883942890226,17.32472670588049,15.10048136850151,13.12824131029156,15.050427576265466,14.625314633369252,18.28515203930985,20.869550812408846,26.01602231029196,24.77077081148318,29.137625331662477,29.837285792288018,31.337794490414392,26.91608385115916,23.95532818812437,20.131914067064876,19.99268667813502,18.8721029801453,21.377948852845538,21.31788012647435,25.948995916581456,26.282130705317655,24.03795742449755,27.7567785824035,26.775074905174225,23.574367735559367,23.232674500416305,22.818561185414566,20.385774717024233,22.047616092995295,22.032658161656887,26.6471966061343,26.584916273865105,27.513417406972984,27.7974535207451,25.653277200571775,26.006483765583045,26.61354570528949,25.7529002910108,25.362274471364206,28.265046591212922,26.15121440637791,30.88163671845248,31.19228091705378,27.710540965051194,31.480554151580414,33.046402056130106,31.43977195642747,27.50925684470115,28.522327744030974,25.548119391992437,29.52269614898035,29.81366417742688,31.05061462365791,31.87350697608102,31.155766626651964,35.892734984784944,35.49104268836762,35.761575892115175,34.22845961464096,29.986598806853596,33.62907571679592,35.54212070119538,32.704077392375595,35.9319503983757,35.76121553635524,39.450871582525764,36.9371782485404,38.20233771797291,37.477815480785694,36.329445522644555,34.96899570250066,32.599036608640276,32.67185509251958,32.52169460160216,27.67168310363247,29.26870659955166,26.46104103374721,25.52309202936917,28.201887475423103,27.036010014725683,23.06400575771513,23.786110017572373,26.797895209105732,23.06363038611035,19.31640724928248,23.882630899734885,26.319924187060153,20.411431948464706,21.250153043294784,24.752240660289555,22.469410317224135,19.223013935813846,23.15264140024235,22.15254610284312,27.57146988860699,26.57458810186056,26.9606391711771,30.421297144327255,34.75208493907616,38.45912995831499,39.745284822793465,40.06730844662022,38.814216556340526,41.05861637791732,38.494308257946415,42.127849404895095,41.080849519079145,34.944560545245025,37.373903555470704,40.433390707106255,36.33936998844549,34.02363907605827,37.03465842620721,37.0437569636593,32.787001715166426,31.628030287549596,28.94685350496068,31.412594152244576,34.55747437186799,34.052341672223925,36.04002467032533,38.77871878013063,36.03863866044067,32.28021063705623,34.470044549733124,34.95259230332948,30.09074344709682,29.317713187274364,31.817175753229037,30.004434359621644,26.965857133724388,31.535703127086887,32.14370058390622,27.82792189569779,29.087772581593498,32.9874281992366,31.62580538566156,34.2593980686348,33.03667218800531,36.46129822510104,35.1258800816425,29.527511056074065,32.716559878595405,34.217187838998065,31.02994202321278,29.232471389382443,34.99185925395301,33.778055890772656,28.414880136618404,30.500093720747923,35.20346259630459,33.09842685529632,29.14481544071653,24.597098242178053,28.394255631204235,24.371187988697486,25.54904918816904,20.200565392749866,20.26736150861009,16.50289405162685,15.384558801796327,16.596421656703566,19.399591568254838,19.7123854222123,21.741611211876016,17.82576626443688,21.08103775294563,17.39233639518214,17.720716000524064,20.768600661885266,23.3571954776294,22.083438586783814,17.71072714611724,19.65733270564009,21.05430031945141,17.05446520792999,15.465375397023998,20.167567939019484,21.24760016809086,21.123671576116973,21.88366987361076,24.530691357612042],[16.762033389878965,14.871375392266467,14.199988702113881,9.838864666247156,14.060080288464393,14.645027536788346,16.299885564632035,20.695629438018386,19.729929454095846,20.70243751902471,23.6420593542672,26.574582980925335,25.685854766223375,23.6324037998695,28.830943879711796,30.173039975145443,28.074161224708856,32.105647891947065,33.3855551062396,35.9862132263283,38.82367394112104,42.27054448527478,42.80153422447631,41.31049924235456,38.85449885746889,35.097768836045205,33.4460011393758,29.789032610676212,31.625436321974753,31.97191511518541,35.46292225005155,35.191722674645774,38.902822742498074,42.27195933235651,39.72566610400376,37.5118771019688,36.565642021379176,36.180150547689365,35.164649439556435,40.218000372070655,37.399003485053356,39.19514279592232,43.30498037370456,42.88988159919532,44.313168272214085,43.55604487849448,47.40927252289362,46.8307979136637,43.34587202178853,47.2444418948414,48.74278769056668,48.74077380332999,49.86782667445642,44.80941040536438,48.95368734059287,52.20547189842695,48.597629783745056,47.51195447449723,52.33197396300602,52.532330137035004,48.42136495853558,50.24190758245204,48.47799487487352,49.71598544044452,47.17324567520607,43.81824837356135,40.949812051305706,38.41883980812242,35.60339543331195,33.86446585521283,32.82278256483469,35.17137395506503,37.296544551392245,40.36950773697138,40.00813243713837,46.257811820186205,44.79183724923369,47.913922954653636,46.613383847811065,47.25211771555934,45.2705165480239,44.07374993749795,41.69004874428553,42.655456757089134,39.97184907134296,38.41224404023254,40.31165561643924,41.75935014900039,41.30359154801393,44.81640320767322,42.4172394688519,45.31299360145326,42.131310096464,40.35607055329869,35.636687808452386,36.15674763358958,31.809498393666274,34.54805400024177,32.12270479953108,33.998459889537564,35.127674740465665,33.93580349139767,35.30525389489853,32.85219086598608,34.56485093163537,30.053204496807023,32.71523129157256,31.38320107746416,27.331279009661856,27.807776829317223,23.051962734084448,23.46554144039757,20.836148734635554,20.705292543589305,21.77120664903801,20.98602178873813,24.54590411432676,25.551864324778986,29.27314080973506,28.34885206044605,25.294029629321567,22.59280769471774,19.45200566577216,17.65413298141937,16.149247295800915,17.51320011287666,17.42087105751308,20.71983658305534,23.102749852542697,28.266183396240287,26.389549962039794,30.858251591053016,31.348485455580043,33.32389519386005,28.588896427081544,25.961974098788644,21.65633526605493,21.62800901593752,20.364851908903645,23.171383661940474,22.520716864665182,26.995576432200604,27.843154974804715,25.906692184057675,29.71486806317074,29.220420377311193,26.04698194157514,26.13039697850615,25.850551726824342,23.71782935799951,25.406855101836634,25.62035558436142,30.184825283569367,30.161642307239298,31.168134924261512,31.407697618475925,29.19723007309038,29.431286756396577,29.933521404556828,28.811492201732175,27.991132054213292,30.93601283753922,28.286006075924167,33.09322655741978,32.85114370529641,28.90596440967638,32.73248517528397,33.85045038534783,32.23247712415836,28.41476199408853,29.79878698285336,27.14562885095324,31.44834354277195,32.1021964580371,33.639719811371805,34.7160562983059,34.183481198703504,38.91894819905398,38.2263460548349,38.441702551438986,36.53565795838749,32.45253500832879,35.698501064349806,37.3419310176107,34.42760469800848,37.795572058468686,37.68113530574368,41.146419464672,38.213856698969124,39.483599351186385,38.49768673855647,37.64080016860832,36.02411252747352,33.69366005680768,33.7735769518553,33.41934781755194,28.665081472762775,30.442553928757523,27.569004692047038,27.20299036055364,29.673579038003314,28.993925910310733,25.019496081872987,25.110308025521594,28.327499290745482,24.95470199287134,20.526612654550274,24.99883753839132,27.99229285792327,22.030381681252496,22.310535621634656,25.918753141026674,24.10078076327627,20.32335419244013,23.77951877735072,22.53527437190566,28.142358578776378,26.4075049767823,27.36389826742691,30.976752685959525,35.22165691753284,38.85862550818718,40.227868519830594,40.98836707027163,39.82917642084755,42.27054444010424,39.98199427428476,43.38592809492892,42.01904891511279,35.999191935713334,38.598830203960624,41.24713999907706,36.95268504328997,34.87784258503596,37.89192775470988,37.3573636876962,33.05334471808478,32.282989188522656,29.832720376641383,32.893202681183126,36.05027982974586,35.707876012362135,38.030738339255585,40.87085179265404,38.40655248768303,34.400995972465736,36.53854357211473,37.38342523297588,32.57560006609486,31.442969289445497,34.09963173116027,32.46627498131191,29.143434877121305,33.47752353084866,34.26519650863487,29.96791148669096,30.76467833359805,34.58369806420919,33.031454603600736,35.78040184978632,34.71458282912323,37.878065815777646,36.2694358858932,30.731666224421105,33.913192741002526,35.00376194076271,31.700986394718257,29.993188591970906,35.527831493869016,33.896274362516955,28.550327593464996,30.76217071868858,35.17723268834855,32.702578764846194,28.718916734539327,24.162723232021044,27.398616689988597,23.151152824401297,24.75413079455614,19.566206930001993,20.44459578586335,17.171356476660822,15.014362427310195,16.376748992875715,18.71280401149404,19.51916160701857,22.203191093296684,19.01989156426499,22.5204482198274,19.35058613279938,19.925166568670733,23.327663516820092,25.917118338779094,25.130524587659917,20.537821078049248,22.20915906557114,24.016564062028422,20.34135705302464,18.39085374209191,23.098710562848616,24.479604872333617,24.546950858982974,25.389438737117143,28.025874103775084],[17.714577988995202,16.68622083641006,17.434981767779796,13.540252919373511,18.478319957965198,18.14862819536457,20.071526931579303,24.127843663243727,22.532646571265094,23.701267461734634,26.155428811047617,29.16521583487969,28.92012784455622,26.36343216814897,31.48376460580434,33.23666499101221,31.424080094455128,35.33910302794282,36.61094300585776,39.57182018420229,42.2853773105111,45.9903213279195,46.33836524518547,44.894062946910836,42.67003991337702,38.73159030006657,37.34444341965508,33.58523540446443,35.292064854756205,35.608451467344715,38.43900227294789,38.497323518522805,41.907441563517075,45.36207004943307,43.16157713220607,41.05737737167149,40.40340272767003,40.218045076602706,39.439657535787255,44.734327477177935,41.75604590752563,43.23917449179144,47.457213308372154,47.14550360201482,48.44965125200091,47.785666024759756,51.64204291625609,51.142783886342926,47.82876606460772,51.843596634448446,53.30492792965323,53.409931555680316,54.42211365661792,49.32708744763718,53.358515313546285,56.560167251750755,52.85006534237065,51.62073222368431,56.42228102169339,56.64776644589779,52.31775364839417,53.85979803384084,51.96225303270791,52.9935833499917,50.710852280316054,47.42428658178718,44.11855274170873,41.540308768374864,38.37667149713807,36.397988527113526,35.15191323149219,37.06389135748753,39.51210063010302,42.87499527843278,42.77417770158623,49.04979699047621,48.05080374360437,51.11826450728657,50.148036079076896,51.075808488944695,49.266112319402794,48.36253918914663,45.942242824394654,47.17308618033468,44.556562333922095,42.72399020469791,44.39499440182493,45.669535012721425,44.950335495837955,48.17172500879418,45.50031235378755,48.03777390608245,44.73044715236484,42.947410726653956,38.25924541515226,38.31629397788118,33.98839443617693,37.22866498508018,34.9081475325525,36.722619992225816,38.433230104182094,37.51975774638255,39.21836883051851,36.98445530355829,39.132901420998735,34.637506244488925,37.2787093206019,36.112690767367035,31.95473819586036,32.2674582165505,27.470531958994492,28.024821642886717,25.037351119127933,25.115648616039852,25.61425963109377,24.967429548603214,28.251851029056542,29.04626040315787,32.444924488729676,31.50817034949396,28.244958627067316,25.63075541203214,22.877896607748372,21.391447684072727,20.05636076644116,22.160708125125407,21.966953138607096,25.53231773309094,27.967178402407857,33.13677525966183,31.344208129473248,35.753908826013735,36.38862509969964,38.299986636941476,33.65330908002307,30.950913714146814,26.725987250894658,26.638382055464294,25.215578839391235,27.84310484724089,26.805911377284797,31.12243842901236,31.86268040984034,30.109081928008987,33.94828387567108,33.39047499596103,30.285430471727498,30.246182242397108,30.09119314012516,27.58810943367231,29.274499572555325,28.816290533801702,33.34960692626764,32.536427776142546,33.66234021195248,34.47486280296187,32.50729533918699,33.16201480930244,33.735572563103474,33.12930911413271,32.604248952159864,35.29712166789201,32.88932725683357,37.68097250195533,37.554741071188595,33.66217654008729,37.632882068914206,38.662869354876236,37.18053331837863,33.35897196485627,34.81811872774714,32.07616938754433,36.311429250380506,36.88991868039147,38.25306821561621,39.21434555311565,38.37411690539898,43.22018026667586,42.74363734373884,43.08310158845299,41.348597287465076,37.26196164912016,40.683238888703364,42.3893909589543,39.46431485015267,42.70563571260657,42.41582614349864,45.95266762239732,42.957969505036935,44.41564924273497,43.46448458072767,42.68669485368882,41.091836324230925,38.77251010296125,38.82338793279577,38.36892889746639,33.60803973668515,35.24949911227206,32.16834633742221,31.769962165972352,33.8941027869965,33.08884649784966,29.244819484093473,29.090180982407038,31.97852068035639,28.47885618086793,24.073787221151036,28.176399662812734,30.8919934987904,24.722711679373287,24.712938956321725,27.99920137234229,26.004526491571845,21.91936307710444,25.102626173409007,24.344550337505652,29.752108925010457,28.52161495461022,29.91692202454512,33.29172824419648,37.82885836936999,41.05448155497334,42.90157776255626,43.97184770984882,43.18378743958398,45.85722885163933,43.83619048719072,47.3585566614648,45.758534526946804,39.89968716028637,42.770815783944386,45.35560532171335,40.956107445281326,39.139905262646586,42.34917206812623,41.54614475775378,37.16452153729065,36.88326855246471,34.18930709859527,37.483955428602606,40.482512101129984,39.81068410658041,42.18222089818365,44.71896508968934,42.405972678289416,38.47633382336784,40.136776090973285,40.91266828850016,36.2529099914807,34.87976226354779,37.113697389094355,35.30604550071909,31.984746325720252,36.13424843375268,36.565798689962946,32.025060579986075,32.877608297549855,36.704357357473434,35.452428409703614,38.57056259663684,37.956083866307424,41.170941767666335,39.10848430927144,33.806116165366035,37.404519934239445,38.1815657034096,34.72237002455066,33.57583420639656,39.02418658773963,36.948455014369515,31.81792810310431,34.51287435774579,38.60184522942215,35.7325381230642,31.864982055387994,27.21959547713535,30.00125545635706,25.47696742261668,26.739253423786813,21.82153516791459,23.235393020062162,19.855428221935174,17.544189752612652,19.632905719154902,21.969657849279592,23.394831508770523,26.121435528936424,23.3592498702001,27.116860013982357,24.04472308850935,23.79936221011091,27.263427907826028,29.46386533049479,28.56312478623803,24.1381004546292,25.079740198051017,26.62362547927066,23.474314691535692,20.5809549380639,24.91925925876497,26.530167618154533,26.67424678905291,27.412884725110597,29.93002104744423],[16.137300390892825,14.607698507461778,14.80527661721813,12.201519307921954,16.69464279781674,18.131191809913098,20.592201064265698,24.88338707793322,24.383236155455474,25.84978141464858,28.78921366429183,31.46235240574179,30.852354220033607,29.015329697128163,34.19602952977119,35.471441842697644,33.443590537638954,37.523870332194605,38.762141364590946,41.27026292178706,44.08637500549792,47.405456720385374,47.91830014539811,46.269837012185505,43.83184601465635,40.214022306758686,38.545281178900794,35.00146289765863,36.89890333865819,37.15442613579958,40.8389602169155,40.320238341388745,44.04728030523794,47.530368757752626,44.92434447240858,42.775854123637664,41.6081889850224,41.23496498673472,40.03894420600096,44.804329753839234,42.09777763290749,44.179497737773524,48.204073308327,47.60197355289383,48.970899968978465,47.96854447487991,51.808581248791825,51.385061401778714,47.6731044854963,51.36731618786975,53.100134864131334,53.008723282418806,54.34115153418863,49.358049985147986,53.63383363101156,56.92575593212568,53.39671530537098,52.48046446890336,57.302589459521826,57.429143167797704,53.48933361646044,55.48234844963659,53.79176311867264,55.06390375679144,52.40826556846815,49.07678591959065,46.331631755326704,43.85097570898709,41.06637882647514,39.36597996233687,38.305859719357045,40.60798557597971,42.79081837911293,45.85203140690272,45.49145939386955,51.733065600874305,50.1817014266977,53.28513915376544,51.88309484517139,52.40050705933668,50.264644408355544,48.85895274733563,46.37175732575402,47.08237160707838,44.42755654018834,43.17427205621194,45.31145973734263,46.77747074420963,46.5452677782788,50.086576212271375,47.803255459019994,50.75531504483324,47.54785646186508,45.68141384562466,40.94799323780537,41.42906167182872,37.065368872913375,39.64329054592985,37.03998834433493,38.48032750252236,39.8952980887976,38.20680747729434,39.845288159412746,36.90121021013693,38.33565161375924,33.64939691093163,35.77432881488343,34.034291931467294,29.799353786460195,30.83612154915076,26.22484461963863,27.388033717422356,25.224937994738738,25.394584015535973,26.953385848407887,26.172666041261508,29.829179220557958,30.70461384445767,34.56662819502146,33.77980695937786,30.750886015274922,28.071653741699386,24.822937830728208,22.986454858707024,21.28068720268858,22.061629069077824,21.223088316183304,24.423162796352273,26.267228663174162,31.37453135373561,28.677374027190645,33.009787665003024,33.74843282785808,36.20221042758162,31.526111368035878,29.496807968092252,24.549212517679937,25.304301417709063,24.443200510640896,27.59759807039128,27.00095366483328,31.413737548763216,32.66862749113401,30.780784459123616,34.56506926578188,34.21900128065587,31.011933871449163,31.076388093836158,30.484370067199922,28.35145151835546,29.493727244450454,29.780207658798435,33.96023777808038,33.71383669631746,35.28529419662896,35.685947431310105,33.78821017577209,33.71565490001148,34.65174347755502,33.07309760656474,32.36017744191393,35.69724955298498,32.829024199794915,37.62551383112948,37.05127378894318,32.75640520142929,36.300947326392745,37.10139409985718,35.13582493093415,31.58010456591217,33.09021858923372,30.963674180568084,35.479276184726366,36.26152727722462,38.01052419611658,39.00471343784244,38.85122572677373,43.306868143906705,42.63672964951673,42.56229637584984,40.58189557353558,36.2445930263637,39.083858441502095,40.56377951283484,37.80424379617028,41.64338321431119,41.90626995797578,45.124270089291606,42.024531870102074,42.91261032170744,41.54174646880568,40.71169287977495,38.61135805153643,36.08956088778566,35.84048423242952,34.923563086435955,30.265725862929102,31.77636821828257,28.488410685303005,28.70117718493033,30.392505271357813,30.210952732978598,26.468823644077627,25.49522560589433,28.57587843101948,25.665220903184757,20.540039856622688,24.468728926665655,27.930149756907557,21.974261670478317,21.36772548866855,24.86286683444107,23.70589433841483,19.256036855081437,21.855537969764853,20.501282693705267,26.102708488704977,23.809755109659253,25.575071450635434,29.1545116033157,33.406526343146744,36.71153711056754,38.42080372729919,39.84014067715756,39.062119909097724,41.88970138092661,40.1884128818219,43.41317903650714,41.48481787233052,35.80644705294149,38.856701507507104,41.00363405397562,36.45016084021966,34.93299275792093,38.20412834643471,36.886430416574896,32.485200674124805,32.76666055519818,30.123584494933617,34.08640040835036,36.97088811505884,36.42310038180596,39.22500315646067,41.88107423057543,40.02101845592383,35.748345036341554,37.346890080912154,38.702655318549,34.16090603383199,32.290636214493105,34.89308012125218,33.496097574091166,29.769877240806593,33.57663325271804,34.491805784234074,30.236564065028162,30.313720381544456,33.94802188195997,32.27323622035542,35.313132598111196,34.740696376324706,37.55863448114763,35.34061240534401,30.106630051058268,33.52972401430822,33.90882858370681,30.418054806382578,29.280920392971137,34.442408956355834,32.08078362198417,27.006595040765326,29.768143856290052,33.575618368913034,30.499696141765792,26.650848275580287,22.075909067274974,24.52566584261445,19.974327097489674,21.568334479176634,16.807521002434477,18.775580084752153,16.14847958887439,12.918323868220991,14.913540727857011,16.815918261797712,18.631505453950606,21.74620900943057,19.901486601622338,23.91162099965896,21.690113682848168,21.53559422736266,25.445193351381185,27.646932777655085,27.724816959447153,22.92164551782218,23.641002026248092,26.048008831911556,23.37391620229686,20.48261572040719,24.982155036799714,27.0103004239793,27.614635004624706,28.738113225025746,31.408692498393975],[19.482750211053386,18.464607573988634,19.227452659961024,16.81070062189995,21.37089806629155,22.60506784461776,24.97499974696473,29.236607580074452,28.359012813736367,29.636581547028957,32.38279028742967,35.27055093128999,34.71356034641443,32.46302691247822,37.64134070604476,39.153300636236104,37.02754184097133,40.91987744289611,41.841429770802904,44.63642638464523,47.210596664218464,50.64373121126911,50.89098037473228,49.092684815488894,46.93716234418569,43.27269366475086,41.94022626886316,38.46829811542778,40.54582716708989,41.03688698239157,44.38321043460357,44.242223667721404,47.877911626733514,51.27251198344649,48.78755690946271,46.51640336882588,45.626378887027194,45.040060099160854,43.850847316855614,48.71090498602709,45.6802723381532,47.65997044086622,51.77064613300651,51.03685912484671,52.15686232399524,51.05948395134825,54.89886556711113,54.73743569133116,51.07728714267863,54.812732663242,56.72711266468495,56.804082947226426,58.175376052647366,53.19049375970131,57.60692244171401,60.71293241298837,57.018779422177325,56.234416615258574,61.05279054949937,60.96256066966102,56.92590338543946,58.87846861076679,57.25779455935012,58.22130380621554,55.61554584466673,52.4693012923434,49.402539032365766,47.08375840127791,43.9636541362636,42.33478442407786,41.00269727183743,43.01474518490249,45.54997424530371,48.6355808013967,48.64711750696253,54.910091239600796,53.59894944118657,56.82647524214746,55.57342823743097,56.15450989907087,54.248329726959476,52.90511027186099,50.60750237562438,51.35787846527725,48.5725433639655,47.2708077394278,49.1821060387038,50.79090752433545,50.254523764314946,53.840128700033176,51.33253838634053,54.08422764455071,50.89281780117844,49.166060209740316,44.460369302782944,44.740698689335375,40.39906751002045,43.38159391014415,40.93223871604403,42.54041779964928,44.054386563844766,42.620351483784034,44.22002335609454,41.45005498702212,42.90497075628555,38.249833017592174,40.423193823391635,38.62542071109835,34.417930557228516,35.5039015813893,30.889414441998174,31.92389197779864,29.64776633270646,29.60598469429643,30.821932845411556,29.81371316866702,33.257318988765974,33.6197062886198,37.402103313657726,36.92983266203679,33.73178608879927,31.273669713830326,27.984104588998107,26.5557043155017,25.2341322189702,26.23710108342547,25.784157771912344,28.915474274957926,30.80722773605338,35.90241953493789,33.05955449875431,37.41564883460968,37.991869098576366,40.61929574507334,35.78219128637035,33.804283595545854,28.82198266842241,29.37724514787887,28.23833368189389,31.36756149361261,30.171829310837627,34.34176233470814,35.80110890234313,34.22241439212569,38.06671778229271,37.99364968609018,34.85253755936143,35.14343598309155,34.78716778153398,32.6610349262912,33.99198399223305,34.08860759163784,38.34758727659783,37.81748827156304,39.34132230897507,39.936477263424344,38.01141844719032,38.147311426980906,38.924328508452746,37.545932915686535,36.65458181498443,39.78490469151619,36.72846288933507,41.556245266578365,40.72222506041815,36.23860067107012,39.93249644249879,40.40607481673504,38.61633333646067,35.134144271161645,36.91097963209381,34.85816752432364,39.48345983565258,40.45333262037811,42.27034102519917,43.41256860103995,43.13486123195853,47.72649022467679,46.942128368198766,46.967220691305606,44.81788707237862,40.677498899270994,43.41175904824606,44.7519151079359,41.90554932041739,45.6404199129319,45.75763651873544,48.88608037676355,45.48438286693623,46.56217693507132,45.10667432622097,44.553280942259114,42.403158836565,39.99871476727683,39.82882243733874,38.85288133364203,34.32686854588514,35.950943475816246,32.68001984591881,33.152276313721295,34.68345878677152,34.679486722666965,31.000925869370317,29.75002627021672,32.77596673225239,30.017694969837,24.757804948080775,28.408206530432473,31.944973323279406,26.016822749039505,25.078213877187213,28.374481623580408,27.378109548037187,22.710220240796442,24.822458687243753,23.615247034462012,29.02033432899638,26.538588678439105,28.830677563692053,32.300679811472165,36.52292518893062,39.529857315473045,41.47825387326862,43.293485530547095,42.72573905372476,45.71915192579663,44.276921831890114,47.374196529329126,45.19997950455804,39.71770511574604,42.89903581002381,44.74815182620202,40.09866765881324,38.82407448620048,42.083383949124666,40.35530194776399,35.98746327098449,36.60773162477047,34.13304858857792,38.38978844820573,41.23184917328054,40.70209344443569,43.64261514502623,46.24465635156186,44.54190203685167,40.22367989229155,41.657486618609816,43.11790987688892,38.66231577765417,36.616173984294655,39.10292451681627,37.71028416977578,33.92822296512537,37.526382445088835,38.35457220605917,34.04934312574286,33.96191707286819,37.504182506617376,35.89173841355691,39.09773723401965,38.783048505479535,41.45213899590187,38.939087243615255,33.92291315824687,37.42922888810484,37.4483771825112,33.89854319816592,33.040511858360105,37.92128892669163,35.15544453695625,30.312157080154208,33.23988576869563,36.639509859557265,33.20440841250922,29.495089113907078,25.06945953711837,26.739454823422008,22.087086588702512,23.827914442843202,19.63520330666638,22.27683540386071,20.028288006862756,16.41464409072767,18.591398101421323,20.000992139398697,22.23985727164916,25.644033526406076,24.300665802925327,28.33550716215489,26.28945570438663,26.11764848734321,30.073079102628178,32.17052601639274,32.268699574349405,27.509369994670344,27.974998800268214,30.318787277475234,27.80964818814929,24.590060854040107,28.90822266303988,31.035721220704144,31.643689168146977,32.68674406195381,35.27852351708156],[16.34864961424906,15.935359987410564,17.813675986734093,16.101942327750432,21.17599487209958,21.826829667235305,24.77970668212504,28.690585925363052,27.92508380647832,29.88417908106606,32.459345259911665,34.95914631751484,35.10934359194545,33.103223576496276,38.206987017200404,39.737469843902545,38.11354250382887,42.24226650592968,43.69633163756415,46.375333745646756,49.23223404628124,52.7274782709453,53.21738061665987,51.66719651380671,49.29107405478669,45.534686011365615,43.905100542704425,40.20992772446212,41.861728917937874,41.87868928833857,45.15454560589458,44.631101786499705,48.09443447491293,51.7959147724044,49.469157274889845,47.557029809344996,46.43237049871798,46.450911729218696,45.45524473892223,50.35264381503134,47.72679348794926,49.63199587567497,53.70464094821044,53.24760124865252,54.64136886499959,53.72184547781128,57.56591441946816,57.105973342600095,53.464504163213974,57.19814572020139,58.84711361751701,58.72470976906981,59.97572983407996,54.96280935406618,59.06195911072945,62.45898235047431,58.951094981593414,57.82999193270109,62.648874147395524,62.93762453361498,58.86628133054095,60.63587948313325,58.76260747886839,60.040283893545805,57.597759889383106,54.207500436605436,51.23586275865201,48.59375025762914,45.669730490530355,43.661095604681364,42.56918915219755,44.585622210122224,46.88742985225022,50.254620110271766,49.91177961706966,56.17373128015201,54.94740707759895,57.893803744105526,56.72227489871694,57.484675457502895,55.312503393338424,54.12240750918114,51.40189345987997,52.30646009563577,49.83225416016407,48.397454642745735,50.53077860916347,51.699143284559845,51.47229608108699,54.66319598026252,52.27362668033096,54.98942563760818,51.609986722247505,49.58945668103173,44.86275385853757,44.9551607443369,40.59815861062804,43.366310679267244,40.69597421441699,41.76522387316825,43.88981690349872,42.14736992698035,44.301543119225244,41.30912823030244,43.15456568581616,38.41408173120232,40.2966438719241,38.68275744715397,34.28375994434666,35.23887175718474,30.655140220889884,32.26339132092648,29.884912386735685,30.51016751019328,31.839143031263383,31.365411667222254,34.946880184768375,35.934871455979334,39.57352161795859,38.584880375287995,35.44775820747555,32.6902206763681,29.814434322424944,27.967079266979315,26.08866511848624,27.397758839080463,26.0354638049464,29.571705188134015,31.318922808788376,36.398799906213334,33.71111166113527,37.8583772533976,38.96785016377184,41.34518594860496,36.938470365354085,34.94548714866114,29.996909706919645,30.981806648471345,30.2132549018974,33.28866244797895,32.7050327192101,37.118407481344306,38.23173718734705,36.32416629146219,40.120671766953556,39.54629727065898,36.3314899760077,36.08797177304746,35.36855180509494,32.8043096470725,33.64542885165032,33.32827423301756,37.25468182867677,36.20814490651787,38.17451373847531,39.152043856168035,37.6707487552177,37.81993424819645,39.103677444724674,37.820801915505804,37.61155051937221,40.94737414067973,38.412561565104234,43.19110755824888,42.83508552856096,38.62268630827341,42.148008222425396,42.980633592642896,40.947774736887304,37.424136738558914,38.86225271055342,36.72054782242676,41.14939870596352,41.74632383857772,43.31273919378132,44.036830854908025,43.742432525120506,48.14156419416048,47.81985939029454,47.71745331017453,46.038729961965494,41.4615168378444,44.45934486842719,46.06323403623479,43.409890855131295,47.32954531092751,47.618267763572334,50.909050069093006,47.89559774994571,48.73940610576588,47.342158665835605,46.41714769934086,44.22409985680342,41.58379443230007,41.13711905572147,39.96338130851676,35.30449459315584,36.446864539801915,32.823717244955866,32.97102965022372,34.036499483148226,33.73197037164021,30.27833462345688,28.893422079782873,31.413902556075712,28.486145436637372,23.515529671910926,26.73599286853764,29.791665447573475,23.810356009140126,22.738104444825428,25.66973702170125,24.50875489861673,19.776107517141895,21.728415739081,21.035851521523693,26.13324331127203,24.598124577936467,26.890585784940935,30.017522610876558,34.56276450256306,37.234666777763934,39.575577533982226,41.41545513402585,41.190865815904466,44.32846103036403,43.08178500660268,46.43137130762504,44.16070841182899,38.82518981222687,42.260476654342696,44.298094526390386,39.66781413239591,38.579546490061524,42.14912333923881,40.49698647923418,36.04693287462605,37.11260530336802,34.021767956482705,38.2886237222855,40.8486642625963,39.78179956962306,42.6830399178028,44.86714734203881,43.35874623681951,39.175705458326384,40.03107452295122,41.406789707220476,37.17140468021521,34.87209201016792,36.923656395781705,35.42625709939401,31.66841496242906,35.05252100224521,35.59033078558822,31.183425617573775,31.118987258683667,34.63432429694441,33.31948927410723,36.79405775145,36.877072004104356,39.66150729006684,36.81788247014327,32.04533637493321,35.97578641233919,35.87442194640716,32.24314137980453,31.967764619618013,36.89231936498217,33.96160340563839,29.357809781365408,32.78069704767184,36.0432015582566,32.518067980964204,28.97576961198688,24.43489854493748,26.28353518239327,21.592188965183663,22.390855738244365,18.29257918377083,20.789910584039912,18.219967013458714,15.154545870454603,17.981436601174167,19.89038011480991,22.39770208496525,25.253513586842146,24.055140099175983,28.332955327476657,26.37849259778971,25.06321822189023,29.043036695927942,30.661368491583023,30.874623779774776,26.278243193495467,25.962964949457206,28.230986979397493,26.462070870044627,22.50022708600719,26.429796884511354,28.8565830581043,29.759975655759686,30.91506062784849,33.483001796685194],[18.841684432016187,18.624517986487042,20.542464784245052,17.70398631320619,22.991163881868793,22.610816312566413,25.049934486103545,28.861044358815278,27.26014640790677,28.833530738268124,31.039648732701043,33.867117820773196,34.150167601047194,31.538080103580874,36.56434471269007,38.46550067981502,36.894811561821115,40.80426447707876,42.1227480265832,45.18641669214294,47.86526382674245,51.64008801351551,51.918897682007454,50.45334968818003,48.32601789672852,44.35761562298783,43.045814657880456,39.264106037556694,40.88349281676721,41.07466803574366,43.67288238278538,43.71141357212271,46.94663580386012,50.53788303941784,48.508645544720274,46.54452718216341,45.88932975648384,45.88952285936259,45.16021437852721,50.446241595097895,47.494468913968895,48.959025901377736,53.187534575925305,52.87162315988566,54.125460192502466,53.40904132953717,57.262646318279124,56.84353175168307,53.502413256521166,57.4820582024788,59.00733144575516,59.097131332077886,60.138484217905805,55.04808921103079,59.04958174738286,62.289919602746295,58.58646172824885,57.320546790181055,62.11783424453568,62.37150120023372,58.00546709730296,59.46394087344674,57.50009209184919,58.48317140470816,56.303174090059095,53.03159320416326,49.58453351151551,46.96944725814578,43.68934263370689,41.570136940614255,40.25831264377027,41.91654076112515,44.50534738716319,48.03224844804283,48.013511614937975,54.27799159138939,53.49287113690806,56.478278426111366,55.641387847597706,56.68208414306355,54.84594635122044,54.00784443327741,51.45611917287616,52.71866818993719,50.186534418944845,48.348077483434494,50.05732969497991,51.19429848258731,50.49851896026416,53.5281747924235,50.7972374092831,53.165795502614834,49.76361583466912,47.894253306762,43.23396341742486,43.009982356577034,38.716286093294464,42.06628840455856,39.6871961231905,41.16364327971927,43.38795043942192,42.324779816642156,44.39208637989217,41.995401134346466,44.27729291856504,39.68903211083636,42.034710030394436,40.785139073147704,36.469281317242434,36.94041017193952,32.19308595546079,33.22014205805067,30.277642757995597,30.664057480462965,31.193724313050236,30.674199371065146,33.919238007715514,34.64729782379492,37.947235632001295,37.00550034856442,33.689334733464726,31.096412274505298,28.509398479113024,27.056614898457294,25.60518983786077,27.744232579077785,27.067571793396535,30.763552264412645,32.97648046520542,38.13738474318669,36.035046320892384,40.33194547245909,41.218576451596846,43.28774885125621,38.753283794897904,36.27243337726119,31.783135862825052,32.066076488717286,30.795062929254104,33.52437922551241,32.43732776608892,36.69819148742613,37.542075167211415,35.84269436176393,39.68650155960162,39.103483128014496,35.99320530976117,35.820130154064586,35.51991724023827,32.798140661726336,34.15674157912986,33.37495554531136,37.63327215121219,36.24380423311981,37.76899452491508,38.99547506354651,37.369777350803616,38.0722291672391,38.95813046415219,38.381072591788666,38.128119370572755,40.93233621486663,38.58993273064331,43.3807515679097,43.2129804958205,39.201370831144494,43.0981848232046,43.987567387352954,42.37299077663777,38.65265396069261,40.16558685359877,37.60123622016711,41.89909452963445,42.45611520223411,43.80963625222733,44.62295559937139,43.81554808910572,48.55978189159798,48.262448559528764,48.5063941701791,46.87853468135491,42.598730178225075,45.95870528554082,47.65826946065729,44.81723264939955,48.25497697958103,48.082210958516185,51.56750784720383,48.505599882553526,49.845898635437905,48.734388216485584,47.95855089728205,46.13854433695501,43.701828910891415,43.553004652069454,42.76705222405513,38.033101935840136,39.42522842793046,36.02404256061679,35.822401108364495,37.35372123623165,36.67125029464182,33.05093742581291,32.29625745614736,34.84866436737528,31.507886086623234,26.93378070761443,30.462265824295375,33.11187975334117,26.951732893769872,26.373877064915828,29.26932845139341,27.498773791815612,23.061303429052668,25.53367560312345,25.147149371864803,30.197314721975683,29.211063202351628,31.20573898541681,34.292131440403665,38.97727506831291,41.69098152378606,44.03358327068222,45.601559471910285,45.27484772532498,48.26691267488181,46.71905650889128,50.23805624201446,48.234342163651085,42.69326288331428,45.93923259840029,48.26376322309552,43.71805721211621,42.34010468068522,45.795167904276546,44.49836896628101,40.053915379447105,40.56849822166036,37.598167649189584,41.401563040966586,44.14435404986312,43.13045457034831,45.7341500063305,47.947244908989674,46.04063549322308,42.062748192902646,43.121665928859386,44.08313042283477,39.68908247549754,37.82049082229069,39.7094584164096,37.91870622392143,34.45469980623732,38.164971799418275,38.39712718219799,33.78417977582125,34.31934480737537,37.995858855042016,36.93360769716783,40.40708719319004,40.35287419228359,43.420082487630644,40.77635539252932,35.863006382616646,39.824486946898624,40.06436752516034,36.464075403834,35.99774791102635,41.16373769225393,38.49150998565422,33.73329145262945,36.97185643647652,40.52280688225633,37.17022930023884,33.52996387342154,28.923822502852982,31.026083746862113,26.340559888843543,27.211057823039866,22.881166288169332,24.98216159264276,21.899751560462285,19.289185783852325,21.977860907150774,24.11026056028767,26.248783774249898,29.045488096694744,27.095512517619046,31.179386788205086,28.569640130693735,27.512482008218303,31.196318753967955,32.95084501592511,32.412170884965285,28.0333404468299,28.08039750536051,29.72431674583453,27.4390455386913,23.638967788378284,27.516555952161603,29.56172994503665,30.050114431336027,30.876549177130848,33.31607168317162],[13.21287765541115,12.749480462097294,14.817454579784417,12.594441257067032,18.00964386121074,17.869613007733957,20.894699476041726,24.61613398320441,23.762740641237666,25.975513667861005,28.457937360120912,30.79238984579143,31.243542367507008,29.374263257504904,34.40970634492447,35.931845236346895,34.605720432124414,38.85675131142153,40.687767630356525,43.27431231717002,46.33066031498898,49.8830569481953,50.56598443306129,49.265935287622646,46.716560907567555,42.87301492176033,41.032760101392505,37.17027527434178,38.49854914135648,38.23581804136792,41.42324383703692,40.72718264171023,44.09075382201881,47.91852991875247,45.694960799748266,43.987899194811135,42.78972513063306,43.191621098794045,42.39999084499277,47.419076828693235,45.03734158534376,46.768711662034164,50.825715465918435,50.642432358126,52.25601167736507,51.57900430885895,55.419676378669294,54.66850924669655,51.15604403698217,54.97230930768023,56.31613763703714,56.0988504117139,57.16562559687535,52.116924003579776,55.93190548782648,59.49298964302411,56.090762438056004,54.67633199286282,59.47872004842214,60.05380205713647,55.91072506645373,57.49506912869721,55.43822178463117,56.93007346326872,54.63231367751571,51.072953099742065,48.171425292471866,45.304097680835376,42.55801522285956,40.31109145023801,39.42553423605537,41.51469030052263,43.5736688525293,47.08463774657117,46.468033062352916,52.70524832997613,51.52266939004353,54.287267029050284,53.18513204830262,54.09398775386332,51.81417741910936,50.80830850974759,47.87571064053269,48.987783077682614,46.70739019490098,45.05690850003812,47.23030916647954,48.10793653435272,48.003884586130596,50.93798468499536,48.60993408768072,51.31101605853054,47.845684316005205,45.68083367388818,40.95576147975656,40.99938358695355,36.64629591758655,39.27986102605191,36.540178833325896,37.476409886579226,39.7968429311431,38.07877132419984,40.42846047004235,37.528949905507936,39.74310126003066,35.042772186689085,37.02673058461673,35.74609412820175,31.316856279878994,31.8910583967432,27.24409561238088,28.861949786069204,26.223660212156503,27.171496162263573,28.3872735033334,28.289938362232448,31.901425101820017,33.39310552578774,36.86174977105741,35.461136704378134,32.40752215722053,29.45046451447151,26.925876413990064,24.801293878467206,22.61691510174612,24.330894765350642,22.65680996373218,26.493349620927773,28.395634255532332,33.49055849620463,31.339321160222962,35.441287609731596,36.749229397225406,38.703364427997585,34.54607360194642,32.24704806285266,27.649641737886018,28.5518456573867,27.874241144744797,30.731998214446428,30.581596625007606,35.15754433732642,35.84490592294493,33.693581704139454,37.42759615154782,36.44888287075688,33.2232174513694,32.6274223163434,31.79770042410142,28.968892217390085,29.732122074199207,29.147338698545727,33.06734068429957,31.878364587699664,33.83108334176475,34.92064107341832,33.55497228327377,33.829459609114124,35.2318643031398,34.203195121806296,34.38586406953663,37.66865407332902,35.59618771192329,40.31297227617234,40.43791980506703,36.60387068520135,40.12738301637928,41.367196645014985,39.35033523912885,35.67442802430876,36.81188926761179,34.36531386033891,38.533089848898,38.816447002973064,40.1126952273619,40.60510342241062,40.13318810413866,44.52354571637862,44.478537564160305,44.4339281590838,43.09757049310453,38.37895076528131,41.74675405403714,43.60470729670868,41.00200694785922,44.790875399169146,45.0105937257273,48.51877237341733,45.868483753387814,46.740020094541826,45.590263427362764,44.40148563170969,42.449635944950124,39.76224186516149,39.32327460831092,38.353706614498655,33.5354248348417,34.54062411843829,30.929516141774894,30.52527027339932,31.80970888492684,31.008907341694805,27.507948085774075,26.6940959917163,29.060514944567206,25.67873086541235,21.220827288480386,24.674698874375043,27.207757128573125,21.041872068917527,20.531345651988136,23.479378934662247,21.695035075738232,17.272821905830888,19.999199158453287,19.58311881264251,24.724117820036323,24.063814103110126,25.693480898959415,28.75768765508911,33.52419202137862,36.36682292791157,38.62373721050826,39.95684468586575,39.606082914429734,42.55737952763045,40.980920068323805,44.61978601723093,42.68842892235123,37.13340899518495,40.424175123307535,42.9392871097205,38.466417653512735,37.07715348991537,40.68097220954365,39.6086344035977,35.13581483540186,35.753277831997536,32.39162599071983,36.117388922143185,38.70253187813143,37.45617472017936,40.04277102222309,42.13430426341817,40.332067011874045,36.36299387482144,37.26146660905278,38.27178335770845,33.94820289257458,31.957584850569052,33.84982626737766,32.12743946723557,28.58851586885662,32.290199138628374,32.61715932534124,28.063230884552578,28.52702574163945,32.234133371721924,31.120965725349492,34.55022231462883,34.46804852764049,37.5947033670154,35.01467800513992,30.05705129205477,34.08647518956959,34.45961763823256,30.880598442816726,30.467720776269168,35.768930586348056,33.29536974779025,28.514996369021603,31.843174398153334,35.549565301649075,32.42079619216033,28.786263639601156,24.085777413950986,26.772731428809564,22.206601655337348,22.59239706066542,17.948060825822882,19.523298378531642,16.145233543665388,14.04197707092959,16.884820629412662,19.498108753309587,21.506609286913097,23.82090108846099,21.826340952657286,26.020974581254535,23.587280744487018,21.920022800567647,25.684048927778367,27.266530741263225,27.061378764797357,22.61513584073225,22.3831324642957,24.3133605920984,22.405282702736468,18.43587065563197,22.397631460055212,24.667250194791436,25.46846942181147,26.57700187866239,29.167860045174816],[11.572064104377578,10.614556950970432,12.11948398002205,8.834037196663763,14.400641349985412,13.490900304294676,16.40457809737002,20.06789317240451,19.16998244321363,21.48504816436835,23.998219051902463,26.242167277385125,26.741508353613067,25.053895860116725,30.049816105052024,31.48840185722368,30.327974415977433,34.67559202191202,36.79752002735651,39.24510533475889,42.466199625115394,46.01655271211256,46.87683641719314,45.783027580248095,43.071457710770375,39.19656111732749,37.15865667450659,33.190239694524756,34.27361142689997,33.81801284172614,37.0363936607077,36.19014268214117,39.54550396274585,43.42161401933183,41.209664789348004,39.61866387434686,38.350902407194425,38.9948643291648,38.346694452321564,43.44293659913083,41.26081651932985,42.86377719197728,46.88773519121566,46.91796192630729,48.715525688953875,48.242933731090716,52.064885519095505,51.06567254399874,47.67055545235009,51.545435211902145,52.6304851444706,52.34578331230487,53.26059034992286,48.19463500733216,51.794615477371096,55.46260306341064,52.14798544166886,50.52618125128759,55.309986804815765,56.09203008011699,51.921169346541824,53.39527753371605,51.22741553979224,52.90409761498036,50.68134810640088,46.992646401915906,44.21877831584555,41.19582163728956,38.659586045811544,36.28565599081161,35.606617431659025,37.84601218480543,39.637510808603004,43.18247218859025,42.31090460271899,48.51653862016863,47.2811278898818,49.92898922195576,48.82591407769664,49.80028662832007,47.443813815091715,46.55367223927797,43.50444125942869,44.76343647644293,42.607849481624925,40.79669414260263,42.99257445519838,43.68941228680083,43.68412073790367,46.487045061227164,44.240513592541056,46.997324792977174,43.5069256945832,41.259901215363705,36.529783222486316,36.652670449409314,32.29572251568003,34.751820693954215,31.96894265270164,32.925643723111286,35.1968857189417,33.54613828135228,35.91084758902572,33.142455901256156,35.60163371930867,30.97327083847948,33.15725515035187,32.18342958394388,27.808413623411845,27.997457313486045,23.279526170256908,24.71972878398408,21.84629097090377,22.982045727191526,24.118208414933278,24.322280672433752,27.960891980898243,29.909675496707337,33.249601760662806,31.513834827376424,28.585987144992156,25.465195543169294,23.213421654727647,20.817934347367625,18.365526804120886,20.39191338855451,18.584134297540597,22.628573227808992,24.737105199550403,29.826306241338447,28.249766683949336,32.33632640363198,33.694761114164756,35.24198409781126,31.262510296789337,28.644694734859502,24.475720528404867,25.177109239802245,24.552075313061064,27.165087760060754,27.429652270411882,32.109262986816155,32.41142961417339,30.046757765824495,33.695075525945335,32.392165899081746,29.17165311343035,28.317690932398765,27.433376210952247,24.46118211661855,25.27547027946075,24.601578946918988,28.643199038289673,27.590558660647385,29.366974486030134,30.369987259525814,28.959382657599825,29.308934970432144,30.696399355551254,29.85598972317935,30.267427218024118,33.469192604482835,31.764381469786123,36.40719322901702,36.933977831433445,33.472379636110816,36.9849579342351,38.58671139495335,36.639080455962194,32.84056460273212,33.70524825428812,30.9716160748067,34.87825773303537,34.91192139319586,35.99043051153189,36.34790535039199,35.72705730231248,40.14402498216814,40.25028106749528,40.284923053632895,39.183359896941596,34.43139219593966,38.1095989676923,40.16407672880466,37.580923611567876,41.1837418062982,41.31111282854219,44.9942219597614,42.66363865955376,43.588399345063905,42.69116606206232,41.30316087797522,39.629183837404724,36.964197009356816,36.60922086815403,35.93146761485989,31.016380680543836,32.006612673699266,28.5670550267528,27.644854098775312,29.35142929552096,28.108292293457083,24.489629638133902,24.419982351066512,26.792092423363695,23.003757578438556,19.117207605694055,22.966129420859637,25.082310265482853,18.857907067867167,19.105040083426626,22.183652653082216,19.832393008827115,15.987416026882645,19.565270338835507,19.186533169122196,24.36679689885778,24.214124044696113,25.074090941662526,28.16637090315675,32.94907303856595,36.10158868014744,38.05900541262494,38.8092463368523,38.17014269551552,40.82884476732664,38.8136795662295,42.64740812654771,41.145116124602254,35.331705053621484,38.33176913222391,41.28976719168886,37.02279043332682,35.23885038455468,38.7381131058547,38.298112801673135,33.87356098170522,33.826940971280905,30.40815372665407,33.47581346992719,36.17534716142925,34.947390409578965,37.180632200198765,39.33753000993918,37.13384229721464,33.364543774774596,34.56161526897242,35.20002055292907,30.697997287312674,29.190119872602256,31.10458173264575,29.203063322410955,25.931878931000107,30.06223782843407,30.314203220031175,25.718882656255666,26.748138504130413,30.62624188905591,29.590443862412293,32.78714655558166,32.32657719412881,35.75279152820023,33.64838854512057,28.432010276194696,32.328210167365924,33.283554455706835,29.847651246349233,29.03495379487976,34.67325459998758,32.80518882493595,27.80841397718115,30.7834923696397,34.98671998892403,32.36995147432955,28.6327197242611,23.90394657119608,27.37277653875009,23.064996497242504,23.35624101824453,18.26476246555089,18.806790269246864,14.787084723665238,13.710807824300714,16.12108082887058,19.232455584756433,20.50362271975655,22.321034848105985,19.361569952929294,23.284093715298503,20.269500256937533,18.66266181512638,22.115261296495014,23.87101485657258,23.133200619296943,18.796738794722472,19.083363780464474,20.654431529766434,18.191810606971274,14.661176165499695,18.891680852963468,20.8004693940586,21.348500246489717,22.38380208300245,25.043472663547536],[10.70649150604942,8.439577529945593,8.255799575124959,6.256769859744053,11.065563478581618,12.548855636509574,15.759847965874018,19.73017117427487,20.104300347098597,22.405065394315717,25.47017427989226,27.435809538530222,27.25249600625872,26.325517879180886,31.328356122941774,32.21062495144069,30.70842416712179,35.14527380715272,37.14948243543279,39.10854125567287,42.39859976791073,45.52714517450653,46.55180796729548,45.26680272585383,42.342675568948835,38.818255226319216,36.50975631551792,32.80979372084616,34.12913520986906,33.69862839585728,37.83219402341244,36.4629925645254,40.18773162329333,43.9778656864191,41.301026080990646,39.59658918300365,37.8387913243677,38.183975163130576,37.09624353679524,41.63864358328801,39.72215375443544,41.911521739054216,45.72316802203391,45.46424956799251,47.33050333196841,46.55259673238608,50.34314053898991,49.39389076350474,45.63686386901545,49.19953242927061,50.52257589977486,50.05216948530278,51.270311725934306,46.326720073103864,50.17737140360858,53.89914339731487,50.7626709938063,49.48037542203071,54.26814710744894,54.92376726222648,51.160481793027905,53.10465485315481,51.188063522233136,53.081121597141596,50.46477877260229,46.76221123402063,44.588128375134666,41.722232085358925,39.59146917847271,37.59683744050644,37.092235632781296,39.75444866374384,41.26818235804141,44.41034972647431,43.31078320573424,49.44312883058162,47.60170583082502,50.323234162102274,48.750026895609984,49.262668210206215,46.62013818702781,45.19996511169568,42.163596678123405,42.871066099936485,40.64416215416116,39.433536273293925,42.06278325005259,43.023865356795135,43.47474517844351,46.67759513263774,44.8379327029173,48.040348758829516,44.72758992625045,42.484975334099694,37.7534706410632,38.41498555091074,34.075320707955015,35.82645473768139,32.843848037550984,33.58963960123879,35.260564313324785,32.89070296516249,34.985768378631654,31.55264661192675,33.17058260685175,28.38176337023803,30.131227174590794,28.57217521639099,24.151754346750703,25.07617046691099,20.539151211937153,22.47435046958621,20.54814733794092,21.631856035775776,23.869023235221473,23.857673670198118,27.815864757216254,29.809352274365732,33.58956543839491,32.06322377345105,29.41652195067721,26.31424179510207,23.528814430639212,20.85872297319694,18.165082244515908,18.66674939591579,16.301012583183176,19.861457098816558,21.391726327111616,26.42273690259764,24.026302335809383,28.08137696496478,29.48878548198918,31.511991049390375,27.483549825801553,25.478905724685443,20.677925941391468,22.16805073078648,22.119902166989824,25.185770724310657,25.949814072685186,30.679022053754963,31.426001440187765,28.93603439884041,32.487372819849895,31.42556459477884,28.140310438838846,27.47264863873662,26.20288944396397,23.786218449421387,24.146120434161375,24.496895831756056,28.224335111445672,28.110375155733,30.124007132384396,30.458502757358865,28.96230073301181,28.49565747940042,30.097707984301007,28.198899070698214,28.286707928472158,32.093971432093184,29.90384151420621,34.51727407421574,34.61941330593388,30.851112477755105,33.933721391892476,35.38964599649155,33.01519081901765,29.457414951492474,30.303788168883177,28.12453883845192,32.25414945916531,32.49233755987101,33.96725049567801,34.42238576653,34.51120385808908,38.54868732593892,38.36790630120098,38.01550471206795,36.62047931170207,31.69045202251513,34.79263785492322,36.630635598375086,34.194250315488475,38.31865380719268,38.95631694003423,42.33388886614197,39.95143301674364,40.35004914627701,39.11588374665468,37.65369657690145,35.574641861592966,32.73948932301975,32.14208403129602,31.128431216449375,26.27326715961976,27.18545263763919,23.615779534173758,23.200225641733418,24.717635048571328,24.06548787933493,20.413056343231727,19.72871795413682,22.49809274834046,19.238540952752444,14.539055306831486,18.584745318156095,21.599949332275614,15.565298730039284,15.439269478514507,19.011509136295278,17.538202266484376,13.483020149110079,16.767823947739092,15.498457470104375,21.083476843684053,19.73113812797689,20.60249995123157,24.071411925494406,28.508867946711348,32.006581605877486,33.586899160564634,34.45061391067345,33.6023474360391,36.28424675894613,34.36765707303734,37.926405866259394,36.26883925759335,30.45387224529828,33.49161958574367,36.16029758197045,31.788786982007302,30.09158698379327,33.582535832435525,32.88200151498008,28.442737441647004,28.607458978905342,25.27201883229298,28.808153610729402,31.513216610578414,30.545095569059182,33.14126779269411,35.58425784818816,33.671441161415075,29.530079880170465,30.9511729377205,32.14327152221581,27.62591803006907,25.791629671023685,28.30697064068173,26.866594590862864,23.19339302262671,27.164859717807197,28.069201424642053,23.859499260897568,24.146792934660663,27.881257794709516,26.27615140296074,29.21883804510946,28.522956705408912,31.618857669971533,29.62174505830622,24.244894296685235,27.813221440109047,28.632427989454676,25.21059486110387,24.07088558752117,29.61700089902757,27.759368880929248,22.61001174467204,25.429108890040975,29.650121385454913,27.084942315845613,23.26278859795318,18.556135115485525,22.1742822849243,18.009173940146592,18.654258422617957,13.376275557447965,13.908474858389553,10.376043068539724,8.66833006240946,10.691179099555733,13.745489121382564,14.964127211992297,16.991786215545815,14.505700430397548,18.64992989334873,16.33535281878985,15.137899917430682,19.061906826991915,21.057740219763154,21.31583875168325,16.49896090502522,17.003350883283993,19.590741268735687,17.282377863523713,14.384137868631212,18.907012612054572,21.034621553793073,21.92211360646351,23.314220451930833,26.08556633365963],[7.417526119247123,5.600788954121984,7.082895307221371,5.080606017045639,10.431916957662441,9.543885586185306,13.358703709038128,16.58687717197604,16.870111284130907,19.99658874239688,22.68328652443727,24.13622837872699,24.907080967606703,24.2588740237984,29.001781884975255,29.93957483911265,29.177463439886495,33.782750892001715,36.46436400910682,38.31402493179497,41.893986228038194,45.14528466698671,46.43970715751419,45.57506523870017,42.46104389026195,38.799674629347436,36.216605169163714,32.252909995353384,32.904477832706,31.870907316250523,35.664506579829855,33.949949673894004,37.362664876324715,41.465633347724996,39.094945814651496,37.87225038331766,35.98697242388592,37.16494290239828,36.50098687846843,41.21526297454299,39.759515021987326,41.58892077410053,45.34839537538198,45.56743466183476,47.74994187751148,47.36223797708411,51.108995356240726,49.733770564525095,46.23014260408893,49.88398482986592,50.7097215854272,50.07931971451502,50.97898228950855,46.01800952113096,49.31294730043975,53.3212640312053,50.3888659981613,48.57780996483904,53.30642071718811,54.469286134555794,50.57725288898845,52.133058937179506,49.86554544821747,52.0856073389078,49.7992646748175,45.840806978947676,43.706115504233054,40.446894460730476,38.57006330775369,36.09196576131804,35.91418524523316,38.522808992687224,39.68876567497892,43.15373367678007,41.634732192356154,47.68388550077907,46.05989037453884,48.39517379180644,47.034804229299546,47.87883420848338,45.04115734092614,44.00944370677932,40.51725225795809,41.627834916931405,39.83539327423337,38.22841578663849,40.92822898008724,41.25959328944164,41.94724283512234,44.5464471539435,42.79288728869098,45.85378630113359,42.34409523364971,39.790800715706744,35.10031486036558,35.50849554775456,31.22223858200084,32.73874731607595,29.576130609352013,29.79593111567341,32.19324588267177,29.73756031688682,32.4820134071731,29.125069131481407,31.565493227445458,26.859495861118386,28.562737272948457,27.656969829238687,23.171490759787325,23.373232777795735,18.85104355984068,21.133258061118937,18.72292690591591,20.7060975895566,22.651250972767038,23.460706638798086,27.329762545852713,30.11896257766623,33.4588550683166,31.231879442372524,28.739915171425945,25.356852864394057,23.404844650736635,20.355918101033016,17.089727183332624,18.47890730675772,15.192394258641446,19.36179429937894,20.99847997581257,25.871565856419434,24.4330144443153,28.158317332791604,30.085532919290277,31.348331200167923,27.99736270593296,25.607012603547254,21.5633411515206,23.021092610035915,23.20129870838309,25.771561150223736,27.19104945497028,32.00971515010155,32.06164240485175,29.25114373073644,32.621915174122606,30.827163861592222,27.586548736410958,26.158436148807372,24.58806445391876,21.497495160758557,21.409804915728813,20.95967102162138,24.43847276196291,23.65731306690824,25.974682758266116,26.797844849997254,25.796079394480934,25.593008251630362,27.671197289878442,26.322017216028545,27.403302155049808,31.10302787762916,29.88026319619711,34.288255257828276,35.23552359297592,32.15276766583996,35.13365976226501,37.157503375753784,34.81806492914053,31.160897831942236,31.49751554272034,28.927218549992865,32.501246442344254,32.13258661951399,33.05494024618595,32.952570419746934,32.7174914889146,36.629407299272145,37.104426533092514,36.802210884213814,36.14696090931147,30.900883996627503,34.619469010184126,36.89119640983747,34.64979143810154,38.57188071634404,39.13458392403856,42.81882538383549,41.05014111941866,41.44105117551505,40.561287199935045,38.68277011334748,36.9381645844031,34.02663559471534,33.33291692231064,32.494576919028454,27.557963442646034,27.991812622093196,24.364570453528817,22.995416434513135,24.4180139383037,22.843106569619618,19.415975617590448,19.52028401374723,21.527509275019014,17.528406975831775,14.206860496426359,17.94658022063035,19.622213157904564,13.433050715676968,14.169906917796556,17.231558918679877,14.644460929335773,11.32371235380834,15.469957539936111,15.15463229648409,20.12747376277075,20.687322002484674,20.762827859742824,23.69202307625815,28.489343975668138,31.782425190951205,33.561884678790726,33.875381293639315,33.17458337215836,35.701840753583056,33.572549851696635,37.60139146357874,36.28966841618057,30.469330358860635,33.44433932774127,36.725511145857354,32.65083822180856,30.799621495071186,34.432712005237505,34.416701908752444,30.05056655882291,30.009859136819003,26.10039345271593,28.83983173057569,31.312269420775284,29.746165086093693,31.847942968021982,33.820803793839794,31.6671347175583,27.983986991750815,28.98937871465021,29.57740875594336,25.137238036939337,23.58445206245457,25.460009410278236,23.584186473349636,20.30318961180418,24.5364638984033,24.861757078492264,20.35431805202099,21.483216127066463,25.410524162899524,24.37644308229636,27.43433352743048,26.86575372437546,30.447958264024763,28.547881187851644,23.287941687843333,27.22755191753439,28.498670292212573,25.190319282658226,24.401402070823764,30.199320061670083,28.7577613019214,23.84807845719661,26.78763439340662,31.18244694760791,29.01525593250521,25.41613402224376,20.80263465166996,24.97934691514317,21.16974240532021,20.776070795100825,15.640592524412748,14.942483547359672,10.410237975409355,11.038708302574735,13.16089531077553,16.820026708406683,17.573997741086938,18.378448675093203,15.134571549526678,18.99913604310834,16.15223347463538,13.417522999587488,16.847911463495826,18.326933381580396,17.931531526536713,13.558679563053705,13.46663436787065,15.368853156084263,13.469263017293581,9.80598538794039,14.167112332110332,16.3103273754029,17.27059300328068,18.682222140219615,21.489674247801815],[6.316356040633134,4.959768115471242,6.831199782842144,6.265051936291932,10.160580739941626,7.843585161675687,12.032370601456373,14.321206149052758,15.09410571942291,18.898688407140877,21.335795042137065,22.11262264531257,23.513523555085513,23.46387262425499,27.83399367212477,28.577992566809726,28.386843755864422,33.08657862804372,36.2843092489677,37.82395526960261,41.64100886612281,44.80705886093212,46.387616429695804,45.82742313704117,42.50230875486266,38.89730281830759,36.01025701845697,31.98347149433409,32.11097514675388,30.549556681554886,34.32882985979478,32.10574995065453,35.32822780168765,39.64426220579973,37.39814496056091,36.590894664254485,34.42083347939394,36.23155026953552,35.79343999622387,40.39174960872455,39.46268128799208,41.16912757514205,44.76278059923015,45.29491210063729,47.76031315371151,47.60482726293613,51.27063945856667,49.552231893344555,46.17039929569888,49.7596717797136,50.22720364047939,49.39256008794569,50.113003741312674,45.22312889671747,48.08394362816464,52.33996597542636,49.67754124126885,47.53530640659174,52.176671352529226,53.73602377715157,49.91000345021731,51.28550580621932,48.81778615491059,51.39360086027254,49.26922078030886,45.11398685237058,43.26433544459021,39.75225438604726,38.28176548110076,35.55472579182458,35.73760691460338,38.421933902714976,39.158034520302195,42.71257623945929,40.74890948273241,46.634765735714886,44.98655001769501,46.981879545870356,45.64343528221709,46.602661307463705,43.50342866263561,42.63244994284886,38.762678192879974,40.02197268378591,38.61995561674903,36.89844835177869,39.79613752756927,39.6496246001913,40.72349116139507,42.90137686913582,41.40327479580527,44.48172866226678,40.8965278692746,38.08670365955177,33.49398853094822,33.87938123711145,29.719712481680588,30.695487688306006,27.325998987417456,26.9311815953534,29.756142483429404,26.94935874920732,30.180868660870715,26.67965909124345,29.544395237603098,24.94477599224246,26.40029327712584,25.921074539550535,21.47200385322024,21.23509837057458,16.96352795849727,19.709741534199015,17.323534265881086,20.072136785350313,22.100628574674978,23.54142370844514,27.328360602664343,30.755339359713275,33.808134682000876,31.092469044574624,28.900691643955955,25.3731468908736,24.015477626854008,20.66619863487688,16.98101311112638,18.496662934027174,14.325889364112582,18.627666173600346,20.060851379264143,24.598767365188273,23.792081645364014,27.108067243977683,29.479427824070292,30.19537258742642,27.512761107074354,25.06081409051993,21.60765782617873,23.266445934829743,23.848755455217706,26.071820948296946,28.190822489148598,32.99024955135911,32.6126474750734,29.543015550237687,32.646632867944525,30.32670311105748,27.179462812190458,25.161848647334462,23.19376969104962,19.77181789075478,19.022423248934512,18.190877139169807,21.183552000083825,20.13504708070514,22.844512547004296,23.85981390538342,23.34568933787079,23.062874030893642,25.664766471056986,24.449069576142286,26.327864374155922,30.080518359642358,29.57860738643807,33.70445359438927,35.22915362910774,32.68556617840745,35.3735517493637,37.80437701134676,35.3823267509885,31.788101120999933,31.672354074344472,29.014715946947867,32.102869948985784,31.26939958360061,31.818127072921314,31.234111248465226,30.97617790853671,34.566108646964146,35.5363991132049,35.13666062027912,35.06053696001304,29.542710059063324,33.55126987847833,36.104137326002125,34.12286698726708,37.99529481872352,38.66996233981388,42.46875561740083,41.239899958428865,41.433687368284865,40.75517372094586,38.51256460242288,36.94510074633035,33.95341334178941,33.10609787372979,32.32822203328016,27.438513738078907,27.419079396800388,23.80275732286662,21.769654854318212,23.02217537644412,20.806839254646363,17.696895097771698,18.381586354869047,19.74364851039765,15.333348493529334,13.357993553903222,16.676720268452854,17.26493403508587,11.334257123400462,12.897754254424827,15.461957020606556,12.140860348129909,10.008925625376703,14.603722893894671,14.832014823846672,19.09560077764202,20.890068118202755,20.19639099007019,22.683228207805442,27.532163627541564,30.74088651379504,32.48652980921439,32.289630908875914,31.617906837500886,33.94805652236395,31.64532100138709,35.96078551527949,34.95628932867456,29.19421779202996,32.048696464973894,35.754795298424604,31.977701699340244,30.02151987717467,33.70254286096843,34.22705155459796,29.999923251895012,29.80622478634475,25.52229504640602,27.60983041597145,29.838709760702773,27.85464523670534,29.57122175650901,31.196612903679693,28.91476615560106,25.593445660252534,26.30394848996581,26.479621707851518,22.150259103333102,20.82857731096036,22.27971915784472,20.155661271190596,17.212841988236963,21.62292474517034,21.62429371141868,17.0534453013577,18.80340899271781,22.794155753472637,22.114633821702466,25.079862064355545,24.497935972949517,28.380223254050954,26.706092270345614,21.5867804361035,25.62052249817201,27.287425791469555,24.18643005627948,23.557748219169536,29.433260023721346,28.44674873403377,23.79528522592157,26.653061676544905,31.148289770119405,29.421643491273848,26.051782808268552,21.677074802554852,26.258651763790315,22.903530106412,21.87873985987779,17.025661049405286,15.307896119054291,10.553643651980336,12.82008679872194,14.597724798971567,18.448141708437376,18.735930210393196,18.550365278998346,14.95217407398835,18.381470936128956,15.45248261552569,11.518339922505502,14.36749591576638,15.3371162380836,14.636627218291663,10.754256819422537,10.060346487635604,11.513107094308754,10.266388533020168,6.138947290293907,10.29823715888825,12.474859469337229,13.673251024739345,15.267168810949503,18.126659079529517],[7.732317167588999,8.01833782563197,10.845958829238537,9.150689057405744,13.619949566854883,10.018840139458861,13.608633802783796,15.566492175594304,15.115542389514845,18.947190584769842,20.856382141073546,21.81860472910656,23.86213938556399,23.194628721078075,27.515400245622022,28.716115776285122,28.81235168383354,33.41564731957121,36.68041353628351,38.59001108222581,42.331899294088856,45.80249057561526,47.24233326232856,46.801605773544125,43.65319700281346,39.806247407146095,37.146986463256106,32.949935496260466,32.92250619065492,31.362353095161453,34.3826630071559,32.58586340701863,35.47725161393192,39.86212221500712,38.00507599459675,37.29327575199847,35.52283989429086,37.5297837154493,37.40356701760034,42.38698379025714,41.22612538602965,42.51810385294532,46.26477688889471,46.97740267311505,49.36309955733343,49.396674369918266,53.0817013411059,51.36593726144148,48.232427602081266,52.029169268497235,52.371723290598204,51.68454433668422,52.20804253431953,47.23559768476623,49.94108574599281,54.13249149017209,51.330166993186275,48.96634671512769,53.59696988424483,55.228414177452215,51.108185929453555,52.13664225564022,49.48917623344236,51.88669868109186,50.06014564357307,45.93352937509093,43.62935425322738,40.010610344551864,38.23020798627558,35.21051080360055,35.263927010707526,37.60819532126314,38.54829342299564,42.416237179363804,40.630475718014615,46.556770933786424,45.39006432802541,47.3205812800416,46.35465755699213,47.664299607079776,44.80004884762375,44.32661284155548,40.48203418920429,42.13875107770577,40.77096070325605,38.626855153374656,41.174909724585824,40.843269868957904,41.5536669203599,43.41009726006328,41.59520963547222,44.306467687350015,40.57914584589054,37.755392125457846,33.17940857664998,33.09627497334406,28.935481827618098,30.484390690149237,27.2853687693221,27.024154757400645,30.405234441665446,28.22599645460701,31.653168831484546,28.7299916168255,32.175626073762324,27.7548427626986,29.516452321888977,29.39838715574918,25.061809979807933,24.385650829663934,20.075544132311137,22.309114158847965,19.257434845916606,21.90187806887085,23.067614363310465,24.611111969965904,28.137165395420208,31.469865151600022,34.20758269727964,31.364541883272334,28.969896244403774,25.45453028666656,24.489690024157866,21.391228876042756,17.96666369181138,20.52601195680771,17.018610225035918,21.50621493469213,23.33857705266362,27.89261264127513,27.498155748318077,30.873044491303126,33.112655998521824,33.616268406866624,30.874493092257314,28.063289241636333,24.922884404464764,26.02899144997833,26.162029620699546,28.137205706843307,29.800728178472585,34.557103398160166,33.93750888401816,30.996512320907218,34.179045296806365,31.748522041707513,28.665168836006064,26.575141401945267,24.95598577394496,21.16549722480678,20.84006056730511,19.106382050999333,22.30444207732406,20.30503436012603,22.828714184603335,24.501707197119686,24.10172592754511,24.533191903884074,26.916226472894156,26.558559904962614,28.57881834357145,31.845609485376816,31.62162069602767,35.7731658335855,37.511109004365956,35.09326879388507,38.09904673231708,40.54413932435039,38.4045021239838,34.656994274816384,34.644107899846695,31.66059823905263,34.66324823130143,33.758273254657645,34.061328105279046,33.45061446293786,32.65739579218333,36.521429027432234,37.673875943346864,37.56645559749138,37.64710983837278,32.331864105491476,36.66144021251656,39.30170734677227,37.19640037925201,40.71095990567832,41.02227812118951,45.00442357674832,43.74254098695728,44.30738721794903,43.81233192654354,41.68674118718666,40.33945512719556,37.473289841486505,36.80243945512688,36.20501934345463,31.292351928535524,31.412277696504546,27.88761327272574,25.753209222566827,27.08460150654326,24.67313123624003,21.64442334105926,22.501295119080456,23.67510769289931,19.182112634540655,17.459083231785684,20.556770201279367,20.715863249041682,14.925809892056135,16.34128120788105,18.467685218135443,14.78216021542927,12.662551811680858,17.02920952862783,17.809886619421455,21.79659182606846,24.133568266190483,23.71789117653535,25.96955801304391,31.004885734035287,33.888272483228924,35.952629317932086,35.828422965734624,35.36569647169638,37.72674541781808,35.4702963423623,39.88291716667685,38.89332283586854,33.21849622810676,36.083262315904236,39.842277414812855,36.08369811234699,34.15728574626842,37.83305548199484,38.35469762716531,34.11298451720853,33.90469742088822,29.665481085460836,31.627475155414917,33.84755120041832,31.754042434107397,33.27380141513032,34.67146847830253,32.28026429527012,29.248483422668,29.744111733447593,29.56617621239063,25.389193774671526,24.26377084283806,25.196902267772117,22.788496365631747,20.23780797080917,24.516195140918093,23.98237495398312,19.218780294087125,21.413436494674016,25.37586769526221,25.140512593459516,28.299846568952503,27.99244956743025,31.97125991049355,30.128214480139103,25.25686619500781,29.468246404017833,31.05314066512583,27.92224613481465,27.570244746690552,33.388085964239664,32.229711258334255,27.685307310156293,30.707106141938073,35.089347971922834,33.176331358221866,29.823222676822123,25.36039134926428,29.68681631289461,26.06954840448091,24.983312204487678,20.190177323818396,18.953436614525646,14.200997615269712,15.957190388155112,18.15463585967338,21.953327356435945,22.53370198748575,22.612796440845187,19.02153970412487,22.39347415002685,19.166003254608366,15.455962160146823,17.906225937932103,18.66695228251195,17.220111280656134,14.00496423135625,13.157142309692277,13.51576541370868,12.27005089177669,7.59166622538809,10.937430198343217,12.895703724018935,13.775441569742712,14.992574065341246,17.692865994405253],[7.724253018280791,9.12902069306828,12.396679859905936,12.843511303232127,15.823947438684687,12.023661425980675,15.658506565392843,16.14029677835752,16.609486364188843,21.134254312159843,22.622401366847747,22.464095016379144,25.372312205103675,25.610486697017745,29.280771570487513,30.133706149688994,30.970419456521515,35.60896721070428,39.44407302229353,40.871984383880104,44.87357212311723,48.127858063560375,49.932224383702255,49.80869780049629,46.40237819341517,42.72999143903702,39.69449331393796,35.53869218769568,34.907018989509275,32.66636820861536,35.71288572836702,33.127179259784356,35.6793464629411,40.33383785736813,38.651344801495284,38.5541823588669,36.313694746571954,39.12130910375898,39.188215017753485,43.80203690023962,43.400612661792806,44.67587281195918,48.12444989985329,49.15021945715133,51.8738298693808,52.094274562318255,55.651579327525425,53.55483102519839,50.488121245893204,54.075820226603135,54.044255526690556,53.0354719381097,53.41278054165811,48.616552692188364,50.76991582870979,55.29319211489451,52.9269262337273,50.218121468637804,54.68877117925691,56.82408206290867,52.9139768732121,53.785033831001186,50.926878890291874,53.819047325432614,52.15811664715456,47.81000902710411,45.98974530868053,42.109352315581,40.911869164124724,37.6574905171481,38.1694938220693,40.587925428124024,40.967175248268006,44.88108431630432,42.51195244883253,48.133361921185326,46.884004350761266,48.3113220752621,47.325188991163714,48.70818637276482,45.4321677223996,45.07398968754159,40.711798581496,42.412198728472646,41.617058591007655,39.51608183734017,42.416100464732395,41.45095896542912,42.80381515430341,44.07102233211885,42.71169468538171,45.44809105881455,41.6641182825494,38.48275401197972,34.147008919321685,34.02424324737262,30.16383926098333,30.79658669598947,27.32169141233806,25.867694284968668,29.966650627825157,27.07564067233982,31.256117265367347,27.972725138598225,31.755523210366118,27.556776278504817,28.606547473314173,28.877440083967524,24.681276577935655,23.74000133570098,20.15422027730402,23.19699151170067,20.632297524287186,24.10499150513402,25.584699814837855,27.741797364798874,31.164369941108937,35.114195799583115,37.60016070633516,34.286961267634666,32.312292608370356,28.719215047673462,28.3023269506801,24.942561057090515,21.17493066106742,23.38421669518666,18.86387151931881,23.127454983171898,24.369728459973857,28.28609327758803,28.300930061493407,30.98220488731733,33.87900559683004,33.88638944907326,32.09675983965347,29.56213245723529,26.898835691624473,28.551690868710732,29.30013305885878,31.03432768920144,33.49325131504749,38.209743291843296,37.28584634153004,34.079440613609016,36.90341135475487,33.9547340546073,31.029736609464116,28.304081228856784,26.103931096471044,22.127476323323066,20.650863457847475,18.490222806584256,20.393726671314496,17.73287856106167,21.200254089531107,23.26640534680082,23.840621727868367,23.978861144183,27.220682086005333,26.819853223781415,29.835671156102087,33.27954740776973,33.82797829750811,37.559798097776564,39.83589814448386,37.92964581462064,40.42473108522737,43.22849555104202,40.83470274891273,37.30048478201581,36.78905252802789,33.97525337426262,36.44750713095044,35.039102130735124,34.963275326643135,33.684579917660315,33.083465164059206,36.246758096460844,38.07434782507345,37.683111655431354,38.50678107060385,32.821205012849305,37.2314057407193,40.122288461119034,38.46519570586976,42.0993682978333,42.74036227117121,46.71437947572256,46.08981750993729,46.2133149160901,45.80318802189347,43.22774850467655,41.897571696870635,38.86488102530311,37.848858919440296,37.07667033363219,32.344099726994614,31.73873328107868,28.11205188374091,25.462487423126838,26.06428555349029,23.104920321045746,20.8664776556705,21.855004121320455,21.916409116040757,17.39063484781857,17.292627513112063,19.22439756597072,17.87379355731888,13.051873275149147,14.906435965533996,15.881427453723369,11.557007746573225,11.20723500428463,15.314193924272374,16.96674317371774,19.604070149542924,23.650743026325614,22.516946625762706,23.942817807505403,28.995104819224903,31.46441747488064,33.68345258023129,33.11710931662183,32.964167032001946,35.205606762053435,33.0744886488795,37.767030020220595,36.95092548968002,31.671335375479476,34.55452437879916,38.6221328772589,35.232423629269235,33.48404953811601,37.303810582435176,38.20432370354643,34.17345248308492,34.270313990510076,29.50031847343245,30.97000632805849,32.62589913000195,29.825861615341104,30.981794076461224,31.640406745583288,29.49182532170348,26.997220839700887,26.601397598935755,26.03954166179225,22.446810534444733,21.250726602810342,21.244297306537643,18.605179756666416,16.579950690836924,20.504485393798095,19.341714300983515,14.577232156090512,17.412097379756936,21.231584065441325,21.655886329230796,24.821261297969567,24.898517907395263,29.059460729602822,27.207854077905793,22.94196201921132,27.359202143633922,29.093648212586977,26.24677070525645,26.51594664952374,32.10972773821322,31.265169971762177,27.346525274676758,30.483827333582493,34.63459339894165,33.103636891428614,30.20261918903612,26.137798821853668,30.650263669765828,27.608669014316288,25.57984674001711,21.444177061641195,19.349306159028963,14.863042449478165,18.02156865661731,20.036987437349506,23.879382397568545,24.26512471191615,23.27325344897577,20.04330085920965,22.978298140968004,20.30499878969729,15.152785602249883,16.770859537827217,16.331517122535693,15.073324959046735,13.136622290568688,10.558474531553063,10.095517625047576,11.357694966406786,6.187911245551476,6.873607454672286,9.39802832095964,11.216810641193955,12.767787299118403,15.265073938493936],[10.234011348246325,12.561918302140848,16.565403448434164,17.066533685265053,20.42479614606273,16.496939563317955,19.931053574355715,20.093934070905433,20.0248630664058,24.53805605843562,25.533677625107522,25.234854002813183,28.759879997346918,28.737523275969156,32.17121786371793,33.27344770864434,34.457365909649745,38.98940908083248,42.937520316525166,44.52883032245586,48.50453029101267,51.9112653556649,53.676671528548745,53.6691386598197,50.34844901853045,46.56251856201722,43.62764386095298,39.395651807063324,38.577317191897315,36.217778636129445,38.691638935700844,36.2403272197267,38.392376931497346,43.137766566023465,41.82652986923527,41.96651084339009,39.89360272268815,42.99058373627513,43.27309748911518,48.00418237497324,47.61622754851234,48.65675839396298,52.130559028587975,53.310904414726856,56.03312320836725,56.369723364919075,59.91516637756702,57.77546362917828,54.84058629359989,58.48964700391969,58.34586152519218,57.34919096481337,57.59652789060945,52.80830676778786,54.7477631367352,59.30022192215372,56.95262346902494,54.0441996096672,58.45155380788326,60.741772285880295,56.70814906694384,57.3073523791652,54.28183605268108,57.150111478244185,55.745212400821266,51.38984782895438,49.35522463545195,45.36866109003686,44.059042114302514,40.56193956598781,41.049445500716395,43.173899563471366,43.6145465783357,47.764344957407765,45.42830613646914,50.96358188519405,50.07838251471453,51.30720360804191,50.60469461332944,52.24763488291727,49.03091270840598,48.952354626568145,44.48747411161174,46.41147538463507,45.782939834938375,43.47921987838339,46.240871068077446,45.00106266190855,46.27040052324939,47.12984881182634,45.67050312610418,48.09225486575024,44.20190611125472,40.931691142158925,36.744326232984065,36.198902168592234,32.499111310739735,33.32710925118217,29.974465131575847,28.211498319474344,32.93743635330561,30.281594628073158,34.77993345667077,31.753774594379866,35.865348231795515,31.827581444825515,32.755964993669465,33.21080583286147,29.088677563154278,28.031418864490163,24.632554912596305,27.648421554057265,24.926317054858288,28.41625430475713,29.504683749949578,31.746774249859687,35.00274807538556,38.91792825760553,41.17858723065646,37.75402928003542,35.70907938887581,32.15326335301001,32.00854853806488,28.803295921894346,25.18505132351513,27.79315247177126,23.444236865637084,27.733547184338434,28.99769048509391,32.81204993239901,32.90374226115323,35.45840004411229,38.46911258489736,38.380326562507896,36.74168964655696,34.182209027119185,31.56691621084347,33.16005523068603,33.78978717706681,35.45655063945662,37.730857258410055,42.42793607057587,41.39497159358357,38.24795777189824,41.080496083862165,38.026095339528645,35.16725749280235,32.33596258871882,30.235317082741016,26.089656998537443,24.607451088620884,21.89032141944167,23.382607287158066,19.79638328103615,23.39879152838866,26.09407888029207,27.07972128557688,27.577098302356383,30.87230443460413,30.926657925383665,34.18058535163173,37.41160850652488,38.19798688130854,41.87988481322766,44.304372352482616,42.46212863870126,45.03725351652177,47.848178155294896,45.496961318048335,41.93441525925056,41.44369594427156,38.56309908088267,40.96839290878322,39.46512166877714,39.215016035578465,37.77628763232646,36.950368017602564,40.03855516266426,42.14133403796367,41.818520100794245,42.88295918845136,37.21450331279034,41.722608806624635,44.675637545089465,43.06350766500068,46.608615184347656,47.16171326220341,51.205465092301424,50.63373633260969,50.827489984546204,50.45528195579026,47.87078683117493,46.55841062522467,43.51438659952287,42.449202932020256,41.59673556978328,36.89909618693155,36.16007140585433,32.43870712582733,29.804364795534237,30.040208296081648,27.029748292956686,25.109957192124384,25.85000921753219,25.483596721753344,21.159786006400108,21.23749702291995,22.58719239403778,20.75247160084567,16.428995918368358,17.83758932231732,18.066058013211343,13.826601315322645,13.646088389193645,16.92092415140357,19.258819769524123,21.129793616946145,26.035851953771616,25.157550374135166,26.072072897353713,31.24723051220221,33.13813739094698,35.80482520594272,35.390527111045394,35.68383635505585,38.04335790082689,36.240345747554514,40.99845663780827,40.05063844538986,35.119412678842025,38.163302230141475,42.17987997781257,38.83837580176508,37.35180369430363,41.28296988387646,42.053388321475666,38.04061000854781,38.523674693123525,33.58446964505301,35.13742976653802,36.548647178445876,33.41316320869874,34.484872864992425,34.651158480354,32.77565753385408,30.594906567084696,29.553633194457305,28.819715202866735,25.74496651893547,24.385380071041542,23.632982865614313,20.910484460135017,19.281723618599326,22.52141066689388,20.723078595716416,16.07064999249196,18.990382580653172,22.487183290542117,23.520760229878302,26.93125434250764,27.600865327358434,31.68850077518515,29.454400892597473,25.79055942604661,30.455979483740656,31.885769684291397,29.060264931712762,29.941010661855355,35.272906761434065,34.14859930225064,30.61828579105224,34.08686689437142,37.88205031407661,36.153430045679,33.4615543221431,29.448118089794797,33.62247992180806,30.51923449331379,28.081516936881044,24.346522201879303,22.60465424637495,18.33432718847054,21.278732929703235,23.67498100671305,27.448674385926168,28.204124500462733,27.241100184377952,24.428788775853736,27.447560804353998,24.94207136001752,19.577033792153795,21.053438967205956,20.13821597456704,18.936672119459878,17.554480954480283,14.436244035914306,13.520485622217787,15.553955877633717,10.453726713467177,9.546901741761518,11.91445729064664,13.776515894119116,14.973050941983313,16.870708474915375],[12.700445456519251,14.382938462118242,17.677043010460828,16.829899860788334,20.21822041052077,15.280818511456685,18.03502742121417,17.97090054451278,16.98341835540391,21.32232157870767,21.91866881081479,21.777743544036635,25.590256097607508,25.199171514123957,28.4984140884363,29.87455819873097,31.22883325383246,35.62863928745914,39.616831154718106,41.414657776908946,45.31606169357968,48.91045141739173,50.58500943805713,50.713286639379774,47.520608906917644,43.596731608862385,40.824604172877855,36.51222146546779,35.55443003310938,33.24479531891124,35.17251279389461,33.11411163839574,35.08611983516303,39.787672189096504,38.715184699280314,38.84930825704618,37.14120263592383,40.29587847352077,40.83270916413485,45.88389060023756,45.28847629570456,45.95699649448495,49.52873637071932,50.869389784230705,53.53135326906624,54.068991347981694,57.606324758905814,55.438585527670476,52.76517882572727,56.60345600854246,56.31307799445441,55.48219103958189,55.53338416679349,50.68738303520361,52.51174526589363,56.94588543841037,54.46129531787075,51.39790189583214,55.78518417103993,58.08514729887041,53.82692631601138,54.16690626987003,51.041635114860576,53.7522612230525,52.55970814921428,48.251508221016564,45.922499157429165,41.8915745469536,40.43262779054869,36.78319962897364,37.23788375459995,39.177486842018546,39.66229127088371,43.94776339152364,41.72019131145478,47.25697284157093,46.6776835494074,47.906508111137526,47.45904536549045,49.338291115336325,46.379162274174114,46.61336476389428,42.290167881727626,44.55266206159207,43.87210247395468,41.19350101854046,43.60324871772247,42.300301629750855,43.2090166060185,43.91007038141658,42.19545097031692,44.38223293675712,40.44230632400139,37.23231494416667,33.05690441696943,32.26934746837464,28.579385606751785,29.82769504493635,26.672631029720062,25.331365536636305,30.1672363080719,28.241636183915652,32.61109151220423,30.23673093369936,34.773360723814505,30.91351327328325,32.42197564375737,33.223785004677886,29.24762256856189,27.69295659754419,24.10236325342204,26.387916834335087,23.092223514190014,26.40828314463385,26.800064029500707,29.15847028900029,32.12956028226537,36.04610408375659,37.982102950729676,34.43663173376674,32.366872105987206,28.87493714494831,29.14162613161645,26.124807100792857,22.74147122276973,26.05907629808396,22.331914095959817,26.721340781789404,28.45412142829935,32.34166435078607,33.0049460667524,35.758742356056246,38.443170522687126,38.07816911303152,36.27110471920575,33.25139895997762,31.096721813818395,32.05108216310638,32.30547726863379,33.629279160346904,35.67203221058937,40.25052558106288,38.90807348969381,35.85521267579143,38.656513826747876,35.49592333031429,32.744331434104915,29.877860749777824,28.131418709092518,23.80075176343808,22.884867704762858,19.61240768386332,21.64588355959092,17.71123598259739,20.689857932316244,23.661392636687303,24.44591653629992,25.566840080623134,28.43526121390916,29.22733545487428,32.4443733636266,35.177679441090426,36.220445671106155,39.870722408061184,42.52470791164286,40.93329597244065,43.76971181993953,46.67493698008132,44.668224295096294,40.95115440090891,40.48520949895053,37.2378067672538,39.47430099517357,37.90787893930388,37.44124188277148,36.09022926637817,34.754357311814374,38.19938043043737,40.30909001596347,40.33214238399544,41.43507150660438,36.082341814663856,40.93108678310953,43.95940934492091,42.167303178843774,45.25043416395902,45.39761773647969,49.61802217249979,49.06816612911004,49.66414576471371,49.562236262699116,47.09795015983938,46.14138353665315,43.30077548259303,42.54526792027018,42.09904546665953,37.34273180494298,36.95446251079907,33.53811899871871,30.67789086952562,31.611092183666514,28.386141698875267,26.142155855872883,27.56757746945758,27.603983683069018,22.983787467712816,23.08603302610138,25.119576913431555,23.45795466974009,18.91084570853064,20.751663102093072,21.48133892979135,17.079788181939932,16.78954169496803,20.586122402202346,22.516645511960526,24.9381366784553,29.27459669651,28.32584357292488,29.586159266493823,34.684985696168916,36.89103499138193,39.290919294509735,38.64051675494384,38.590227908893105,40.718294758089385,38.48753479910252,43.26981373402163,42.63986887012688,37.39751031281315,40.130608488206725,44.352154614835776,41.05736193939673,39.19539595045835,42.90697346500381,43.99598496652878,39.97937112851733,39.79012081372729,35.15634424883286,36.2716972274388,37.99639486084757,35.195212188463856,35.977326194760906,36.43279199708803,33.99594309234574,31.96581604312951,31.547026957692495,30.416852831329148,27.0102580838375,26.346219352675767,25.819719199212237,22.905011493194532,21.6126751782831,25.373642187312036,23.61660229776824,19.02453830237575,22.389652270463465,25.99251471319236,26.904967942940214,30.040205645780542,30.224258859800965,34.4783266515068,32.688870072701405,28.6698847147915,33.062911320193116,34.876505153695675,32.08642390331436,32.405101155028255,37.98999989079767,37.1448969543193,33.24490924677249,36.36962638634941,40.543442322861274,38.94955181494053,36.005382960658665,31.838931500269812,36.22185840756525,32.9299382155101,31.011548577744026,26.79996838006457,25.065252839263266,20.485616241383113,23.146999676096886,25.373807037801985,29.228810763228456,29.70277269319816,28.984291016007955,25.422017148888585,28.22319610261159,25.031374944043236,20.406437458207638,21.569880903052464,21.161462780933334,18.89509162966532,17.6973675242136,15.732501570631326,14.036208508916229,14.66976319320887,10.26839609399321,9.772501289496729,11.104440535160226,12.00681367800484,12.671215425842707,14.599856136715978],[11.27110188578734,12.370630920218087,15.248477328506336,13.665507293152386,17.36000903023884,12.435170157007091,15.247229361759194,15.874418139161854,14.716024460810829,18.878619049912263,19.8912999478638,20.294980214273025,23.499380597399675,22.852322449216793,26.576652784387495,27.98788731131788,28.887335115620886,33.35732509734038,37.08565962790768,39.0069750445838,42.83404431818646,46.45226602902134,48.00701803914323,47.95213381768975,44.81023612452001,40.8585502364801,38.17569395114582,33.862282139272196,33.226869811270696,31.229788555622495,33.4432555390602,31.619430693045366,33.942043208299616,38.5146800450839,37.18006300967422,36.954083736541996,35.33684962655223,38.05070127190555,38.40810578110564,43.55675334225948,42.66287316127366,43.45673732512652,47.14174222563731,48.28574901750414,50.8229532883452,51.228598488334605,54.82899563954439,52.82856331304357,50.05376641658555,53.9472828976477,53.857670228844576,53.139198629035825,53.31544315218175,48.389899359962456,50.538309862286134,54.841800919047294,52.178114044457104,49.34276525397126,53.833940343640386,55.86715044683133,51.580886291106566,52.120908176036146,49.15299289760326,51.68909923003006,50.30001209417713,46.0692916656239,43.64465735182011,39.75301035307391,38.10352471277548,34.64451932828204,34.92453189338056,36.98502463057719,37.67689749968956,41.852769676701364,39.83638649516396,45.56316725039841,44.8332717352097,46.36420077646119,45.779825952797566,47.50401156366796,44.662216675755225,44.70860328479849,40.61820406668132,42.752070673757665,41.77090438843139,39.17376736649157,41.52921848388833,40.60399624714762,41.31076679340109,42.450739479398784,40.60015526780571,42.94379234707342,39.06199374979562,36.02442761680521,31.6508752065161,31.08663013481749,27.158162673173138,28.69784480879477,25.564424122508306,24.849057736147724,29.109071851096097,27.312978368202696,31.261970983945464,28.868657677462167,33.12646161624046,29.086192741191475,30.90045461131014,31.461383904463258,27.384820322526522,25.991038939780466,22.03879083739132,24.05591201288303,20.616776768782035,23.640012270562615,24.077617964316108,26.18248686804064,29.28778437803257,33.000031963231706,35.14893683310238,31.8219527834981,29.59932429187725,26.089881593532933,26.027331462438173,23.02121590341737,19.6764411476149,23.008202779309322,19.571349824307994,24.05380409942222,25.996239950954624,30.171080154155806,30.63453236445211,33.69253940093098,36.10087346360096,35.97366043504073,33.74827567820973,30.641100052244884,28.281613166539547,29.06491657825021,29.14229696432341,30.58837518064502,32.41650505830559,37.03082554130932,35.85317668198394,32.86617136299483,35.8136628939078,32.89020728063821,30.031382266341097,27.441056750559017,25.860264689276892,21.63849078629917,21.161146089940416,18.289815878492362,21.058466554498207,17.849025088340756,20.42798641678597,22.932548347823793,23.130122599104133,24.189429531878595,26.726249927371637,27.312188886948167,30.056888705287164,32.84006462633196,33.47724328039059,37.32470656862181,39.70621209906807,37.88272864555147,40.876051097604304,43.64144732894722,41.70143314782841,37.91817356105206,37.630098632826545,34.35121871523698,36.8261960196809,35.491850695664645,35.254240888434744,34.22711581650009,32.93117872381669,36.68856192289282,38.41350114902382,38.50174635823919,39.209571994915045,33.965364176980096,38.738587378085086,41.645732723493914,39.668264952875624,42.76660373691071,42.840387167677434,47.031781646233554,46.21008806906262,46.93270311700978,46.77103710398786,44.473924992943914,43.49116233422124,40.70927523316199,40.09103421719399,39.725906560191746,34.89165415006316,34.810219288737194,31.4573463212114,28.78423793248826,30.099003770021792,27.10060641931465,24.4502213168515,25.901161692980818,26.48329468534569,21.796124257412743,21.26760081410266,23.894361971168024,22.94220109917605,17.843980565141024,19.68603562546208,21.06548004003696,16.820794065847267,15.863820574589376,20.050084685538753,21.471229290441507,24.625802741504184,28.087356575172993,27.297567689578546,29.031326131195392,34.099079059390704,36.6740462359418,38.86511094994159,38.33937484181028,38.019093698970615,40.16913073655619,37.78626745499125,42.441858435423605,41.773518660228945,36.25667540072802,38.942817408161474,43.05876467893685,39.60120072062856,37.59014078388697,41.21727145108447,42.19837660555878,38.098845024822886,37.67741711336365,33.2922229399861,34.57701588055031,36.59651544298562,34.171151563542594,35.15013005917188,36.07534737004579,33.46942549588237,31.081075385456366,31.221587518274635,30.346058586426913,26.503244084253833,25.87261831393866,25.995554186886043,23.204751383709645,21.491794250790583,25.650903133361076,24.387877366080964,19.68124557303407,22.749889916256805,26.564621170588257,26.99550045514908,30.077717102634605,29.920316575956512,34.1376077988446,32.459073928051104,27.986654066814552,32.24029271344851,34.09526366516068,31.18227082064236,31.073627610969858,36.83394772113775,35.9638508623467,31.70666099814896,34.67929313047407,39.056318039515965,37.39057226013479,34.218288190305934,29.90352891745225,34.33170257854233,30.875325851280966,29.419537195048207,24.862930833695742,23.291420573852875,18.565343294386448,20.843694621259186,22.983830199020666,26.83020194933262,27.235216572270705,26.86997043993753,23.046833975216078,25.968117975751944,22.522699789635727,18.46610886097464,19.99056536655399,20.19110997301301,17.868587301835248,15.944800580140562,14.75427470592573,13.579591287432375,12.981882842904284,8.567428016264666,9.864622279268392,11.17853068454319,11.765725650609157,12.530283848613664,14.900373278316781],[12.897739686300616,14.51404716119575,18.019305229805333,16.31286234798163,20.617231794762077,15.973258142128802,18.704661976566122,19.545021835686924,17.847897053274256,21.665976669961157,22.404259211150787,23.090016288790153,26.431490324647378,25.24465315458098,28.96752270527983,30.705677437788893,31.59490233389787,35.924161805643536,39.48524743553193,41.718526634597985,45.39819439976021,49.204553656187485,50.57201939750707,50.474959601644535,47.523040020127844,43.43554694550458,40.99834621147764,36.64389953580314,36.104309846277324,34.27997636541207,36.01731522158605,34.60432243884583,36.72242461695309,41.245426234484434,40.144674102848604,39.877863777153465,38.56123420035341,41.18834094322941,41.62248853811062,46.9566508896,45.80142451893197,46.43775367403316,50.240517605119,51.36750019072494,53.76390759884081,54.17071147544421,57.80600671763351,55.934620002942374,53.22511991900275,57.22684465906214,57.20537533562967,56.60800043039232,56.75573884456907,51.7849970472474,53.97611455281514,58.17550712996917,55.37588229738224,52.5312597307547,57.02331520930604,58.97680671027204,54.529425807011286,54.921589146599466,51.91363570289625,54.22339898707927,52.97674705714792,48.84420389707776,46.063034076223786,42.2123677903437,40.23675460019585,36.691271527271205,36.74856980885447,38.48827191630814,39.482338484335465,43.825097726644046,42.09487201860231,47.846174703353725,47.45769353623627,49.02026213254616,48.671493180041004,50.56246574927188,47.92174137979459,48.12333548242176,44.14137959542131,46.39724407579383,45.340320629602616,42.61115565223867,44.74545880064193,43.84819137582119,44.259780176978644,45.297370918731254,43.19950241861396,45.25924244457331,41.329087267803054,38.37519688919674,34.06018687260387,33.14725378456082,29.274319189037072,31.323680605686054,28.411622824164432,27.85737030175448,32.32725978381841,30.895179330329658,34.8324323407594,32.67791325583973,37.009095782205314,32.97817344853953,34.8499871173392,35.35304989448205,31.226022710431415,29.921827955463897,25.898586772607665,27.787833433526743,24.195671369485005,26.95175564153767,27.03803640433584,28.942881328968515,31.92743902890939,35.30909018524067,37.36786790075635,34.18029346824424,31.746340373744342,28.350344229261434,28.283717609804267,25.56106050907584,22.525144441704644,26.144441673952524,23.097494251462418,27.620693263931898,29.674635530239843,33.97716641652881,34.25288718797264,37.43239496980187,39.76123297700551,39.78554185201514,37.3609861206524,34.219396329809754,31.65839931934485,32.31229826718715,32.12761989591676,33.64101678932649,35.01688956480583,39.59697092802115,38.493568358959585,35.682280551050845,38.75333647149397,35.97581748471038,33.12609737741767,30.710283319204333,29.3810165699658,25.152231525593766,24.951005002530437,21.902927385820696,24.691726301763474,21.073116813969616,23.500221520677552,26.312022062387538,26.517086140883734,27.865966145323604,30.198259076665426,31.051046490689,33.63198537318518,36.23208923634767,36.741569920592205,40.688191045254875,42.94791064320824,40.957380694889395,44.16269450763308,46.77228377303007,44.92434877454734,41.0739195316633,40.98687235860072,37.65958950643973,40.28838675862109,39.07671434163066,38.86901101941742,37.947938919115884,36.47298159469414,40.37674624669293,42.067312457265935,42.26888776618445,42.88681637985422,37.75111379346022,42.52085443774985,45.37379843782819,43.2934062705015,46.33611243621547,46.263424575312364,50.47777861859681,49.450735977468064,50.35340621083262,50.15408149039812,48.0072265793272,46.9826852991999,44.222913318276476,43.6450179346498,43.21319000468157,38.33594866781586,38.346122138986544,34.87916948024122,32.41435125761181,33.58520958264065,30.739912565895736,28.084501652704777,29.19014836645108,29.767854207344598,25.189186701589,24.263693372706186,26.762584038311413,25.935045134113935,20.7253746967737,22.118047903156846,23.344038535051475,19.247456952898506,17.827531853783324,21.59885557014072,23.263789482983455,26.338652345706386,29.906715712084367,29.559145143562535,31.201959797385566,36.4172037181372,38.707872618991495,41.220457569260084,41.0163012966352,40.95170629683975,43.29135351186263,41.146814455924186,45.78400740953294,44.89359481164728,39.48577751292484,42.36403755056224,46.322521863316325,42.72880415059296,40.89750202550039,44.62154745131352,45.308315665642766,41.121202969862516,40.99882343261063,36.594373573229994,38.20871253958801,40.20633623328379,37.70957672271058,38.825212896856854,39.63049135070048,37.19950979699341,34.78032015572578,34.67493963146437,33.8841118364167,30.190553356312662,29.31790791970722,29.24682498275031,26.466461704473563,24.693969350497966,28.549934938883812,27.099554287716604,22.343757562677666,25.21309640518965,28.932083899947475,29.5262655527354,32.86416721979711,33.04728973706942,37.176749515715244,35.13774802740298,30.850650736527793,35.31796453041285,36.85587212576765,33.81279895284234,34.01722971831841,39.68211081697896,38.434424583625415,34.25961037599608,37.52252390404544,41.684191215461986,39.68994506334143,36.53117243762185,32.11367240207005,36.19879703007716,32.501374086838354,30.989463721674934,26.55823536267726,25.52521682875479,20.87191406437921,22.63755268777594,25.16674169159541,28.93508698860638,29.75224396205545,29.718863895386843,26.21416720254774,29.404004656564613,26.036662603112894,22.02529268604343,23.80069033609302,23.927932162728574,21.78581204943618,19.776414816836553,18.317762201785985,17.29019889604988,16.929770962199527,12.36223977867347,13.333669325044317,14.746119327033657,15.304568751172305,15.814358133394313,17.80548760804867],[15.899317343647715,16.77516087810796,19.372558870115665,16.3483804526013,20.607670258237878,15.586230609934981,17.42579031915843,18.49373561447877,15.756276080254429,18.869937085994593,19.370899858754026,20.695494243757977,23.782726082583096,21.896645740256137,25.69633797054318,27.78449711612633,28.498863342149818,32.62599697318178,35.955426340222836,38.52101916933811,42.006705748639426,46.01206644881396,47.166031816621114,47.068632310808624,44.336140471175376,40.11060539605554,37.97289141659607,33.596892155380246,33.17199208380205,31.68405479701953,32.93891177645597,32.18670724880846,34.27675506446895,38.5867059243191,37.604585080272315,37.092240798833416,36.26232577887389,38.59583392742526,39.16044575663809,44.80839119478342,43.24056742100076,43.57362417925504,47.522851555242156,48.6587832218174,50.87309311580688,51.38161122559579,55.021402089166,53.265465808696085,50.77089064161869,54.95740598135015,54.941001808894306,54.58313766662754,54.62748366829217,49.591666276923014,51.86870220502533,55.831460517530516,52.79407252038198,49.97523792511272,54.47761639992775,56.24772671180552,51.57809810352272,51.82485005611703,48.84205355327523,50.827145065343366,49.692188683460735,45.71033319577674,42.535505768748706,38.78204730655258,36.46738232889136,32.920552272210664,32.75694894455316,34.296217122466814,35.55500435745709,39.96126499347095,38.56730474561817,44.39891751034336,44.278204672100685,46.02917289919502,45.87981302819841,47.90237236700506,45.63608788771254,46.027656086373625,42.38794478460217,44.849879206299846,43.56993005904149,40.57396101794209,42.27975850924511,41.58225717345748,41.46745667904733,42.60786955021643,40.15583927026198,42.011031757209565,38.10570735757773,35.38767912369443,31.037001997874484,29.97157827577705,26.030627105259555,28.7921501432428,26.228040992046605,26.530119553520016,30.630667423691413,30.0300121952171,33.49031930611106,31.98135530479404,36.40915576792129,32.52465984839071,34.98994821061762,35.61911465294364,31.654744711774182,30.098725493912344,25.87092060077118,26.896856303523226,22.839405435102133,25.055273611330076,24.396061865537558,26.125506384834107,28.81017278053274,31.90719662224265,33.73563527698798,30.65732002635484,28.066105418409826,24.82291003841742,24.951805607335153,22.601819609446764,20.061159816003798,24.31367878529209,22.259827380920136,26.722481874381792,29.24186795190775,33.65588691878978,34.25569441215283,37.70295666702906,39.56507609237542,39.51431871258917,36.73420749554649,33.21193643487488,30.97211553036285,30.91437023139902,30.234539793333333,31.480962535683343,32.35789526282122,36.7593468634033,35.498269544617784,32.90870093511639,36.02342457843106,33.38235234336254,30.627774693947323,28.466207258731036,27.67487255826204,23.51421112260797,24.162810210308095,21.01707001661019,24.53187096094813,21.17949241497108,22.67724199127994,25.366985936001036,25.020810874272797,26.886345407163514,28.50770398237306,29.914852709483267,32.0697987301861,34.150665642886096,34.60207574149332,38.59034633289943,40.83015420894652,38.922327438309864,42.450293150505004,44.997283582776475,43.536228533193906,39.55714646376893,39.63462291051911,36.01320635303202,38.61655145190494,37.53521444554622,37.28478627111816,36.67315959617651,34.7738880043687,39.125904799569796,40.55598796874431,41.11028361536352,41.50351701528025,36.81606919139731,41.73943652011672,44.53485148610465,42.21011192969111,44.80743984335408,44.30719716079228,48.61308795252733,47.417272644580216,48.77578631824387,48.77816809129998,46.878388689005114,46.1514426833308,43.63969937633377,43.409199296069815,43.351364417580314,38.459979787868846,38.92433731728325,35.78541666955806,33.32206464736848,35.1483343672427,32.32754029030666,29.323148797438463,30.869587089724845,31.952149139352237,27.269708421139928,26.09740836409699,29.221325849371983,28.804443748521944,23.39240863508653,24.990324613388935,26.712973485137972,22.659544063730976,21.030106638437434,25.11771235357745,26.316568710110868,29.938912821689637,32.748325419862724,32.43869055161522,34.471341391507934,39.58117207517744,42.20446437894805,44.451286686078944,44.1535573290853,43.74768177840773,45.92884497745051,43.44845736935721,48.00127491871854,47.31379734865606,41.618192282669085,44.23080007183764,48.23701043491028,44.626378936044716,42.48331496281992,45.966124130907076,46.8070070114729,42.6163859678772,41.89439612053604,37.9177257852189,39.2886338549343,41.63313236314668,39.5854998805384,40.580181329131456,41.78836276544647,38.92751904805855,36.486158759729136,37.0457666250582,36.11426953203985,32.08047137088603,31.687321661847264,32.01743686731657,29.21275835074412,27.51464996584189,31.767570107364616,30.53518344562509,25.82486574743168,28.810149032992395,32.64068266582793,32.98280070581955,36.10801091240572,35.85008369149523,40.029210852621766,38.33410377014309,33.68171128983052,37.861256031045535,39.64714007488807,36.6023322237299,36.2495602400767,42.0929101894844,41.0233977855808,36.48715600117314,39.40218755928004,43.869521891676214,41.94092429217192,38.533981646133455,34.00644771831378,38.16437124207169,34.299407528269754,33.41011575474597,28.60434971135634,27.710570989690083,22.966759767009258,24.244083811672873,26.53318665758359,30.222695763818017,30.807076151305633,31.158536145628453,27.109728426258492,30.11125597660544,26.207679138362227,23.240536968610275,24.89863162436781,25.636638102665504,22.87031726896773,20.746653422693566,20.44094026100553,19.228502315833133,17.435509786662934,13.936303099982595,15.655524486448348,16.296779484083796,16.00663330260419,16.031477082241995,17.928136769835657],[14.40319020843267,14.702909392090648,16.69259647353564,13.30132893515716,17.43794810328872,12.467352260279787,14.325049597454456,15.804168045539264,13.28066528493126,16.43389299753763,17.44246779981704,18.959783098658285,21.52342249842994,19.80169257184489,23.927125058714854,25.81353440919208,26.209268397986442,30.490864448603777,33.74709200366169,36.191298078621436,39.73051317122262,43.62412804246033,44.82278156040318,44.612533816484536,41.78208153853658,37.62498774285467,35.379664258773204,31.0250950475046,30.77837931866811,29.388127360207374,31.168991296198218,30.271864891730726,32.70940024121457,36.976078317031906,35.671528003212984,34.96421688228828,33.972309335037245,36.072391308288736,36.44786039785979,42.01675638280357,40.4322523230125,40.98392656581248,44.93045855331074,45.93305966058691,48.1596737218773,48.55723934920196,52.221659497268504,50.49905789755574,47.86535314309039,52.00420323699123,52.09541885770649,51.71483265594158,51.87733830365138,46.82379743803919,49.29040234516511,53.25001418510046,50.196910413950036,47.54129055258102,52.10995767711379,53.763531159731734,49.19872504708464,49.687158687949626,46.835347013082384,48.869921943006936,47.501127032882685,43.500222209252854,40.50949313987856,36.82114911148758,34.59238043915999,31.236135094888393,31.093959596591258,32.936939246025474,34.14300640991384,38.36398909211297,36.91629505239681,42.85217127412257,42.39708156463128,44.310464546662324,43.9080715896094,45.710851652424026,43.3641972441939,43.51459249977719,39.93585507026404,42.2096097508092,40.797289254547145,37.97209780081881,39.81356631076113,39.3379414457113,39.31757441637337,40.80181148379175,38.44861280671721,40.59737612515018,36.762249813031254,34.08886043724129,29.586387805233244,28.898510538139142,24.782467575587624,27.35721872075517,24.65797419898883,25.171474774590685,28.801129049150212,27.990574974852485,31.215459063524758,29.500940386856122,33.658523896146214,29.66139182967149,32.20522360121033,32.68109049277925,28.69842829582512,27.25560925344179,22.901026301776678,23.86029983366579,19.8529475635247,21.99914682979013,21.623211688729537,23.269297642202055,26.1653696309753,29.320734210006407,31.402162618689974,28.39800893099077,25.812720543124104,22.461740686010742,22.294635507469046,19.753096504846624,17.03870684455431,21.116415289430662,19.05646906272944,23.521649815923457,26.073011325531834,30.57270199466365,31.081547329823604,34.61555735223866,36.37382412855098,36.42196205678842,33.51271210686928,30.01105243605664,27.697737836166457,27.652295804826725,27.021181565675903,28.359664925980493,29.35778185451483,33.83578468031192,32.68415811978871,30.01942904354855,33.18116184656743,30.625586497485422,27.774509890328225,25.70910985527819,24.85958234892736,20.80913908105133,21.5551914718955,18.831833034991842,22.667114494346198,19.976275489913167,21.40515542754454,23.621893781801553,22.952880509581576,24.551736770138437,26.11414734575846,27.167995823409644,29.102480419766163,31.368120398007484,31.59140306058891,35.66280964225105,37.76555652513026,35.76007281566918,39.25140137295635,41.781508766931,40.26925124854339,36.2991280584601,36.38447021062627,32.808850043739355,35.50785155817109,34.51792094631356,34.4218021125829,33.94461631226199,32.22926690544819,36.63871405866482,37.8545298778667,38.343719760764145,38.53978583276259,33.833264229487604,38.66093095939221,41.39646994396747,39.03544854180639,41.72723988360938,41.31181095109399,45.569068508136844,44.307300215785595,45.5937064498236,45.539637211788154,43.6557874773,42.88606448372079,40.37851756738166,40.17613795464825,40.15463351090624,35.263717666316545,35.83182338911031,32.77620904597119,30.36804801826239,32.40436176338089,29.69018709226707,26.519553358669462,28.1633502237539,29.50942601464469,24.838068312605362,23.49810622985831,26.914034616514417,26.815787306852897,21.291253018466765,23.01116011002057,25.068252333524107,21.131543120844707,19.409515467801064,23.73485888607748,24.568589500641256,28.515163979179928,30.829830876573904,30.415632753594327,32.688623517483286,37.67458462363632,40.57989816376909,42.572763550431446,42.21256450668815,41.58148730924943,43.69464410501381,41.07893790024123,45.5426616029725,44.91180719563829,39.08078848536083,41.59124921013797,45.572031113768055,41.94987233596048,39.68724080325209,43.07805849686238,43.96503906268238,39.79085983509178,38.8608629089059,35.032850799884486,36.37769569785544,38.855074162291075,37.03123009698644,38.09016693765208,39.568408328831666,36.61301281658021,33.99879769354263,34.906737703384344,34.11458725836038,29.856584279673644,29.535624505018458,30.259817069373707,27.56281719247612,25.684974327562987,30.164461215043335,29.262826281032453,24.58003671550154,27.433840712538863,31.35272139623102,31.393276048738166,34.36719348301465,33.82542361292423,37.972625812017355,36.47427242443004,31.580054085064244,35.567483879254716,37.47182961851033,34.44566681040526,33.76790108438368,39.68133808443885,38.75703784941682,34.0541296786963,36.755846265757896,41.373191246396544,39.56182209869542,36.0650298027731,31.549452845448688,35.84677866447163,32.044388309278744,31.404437006301286,26.42908693214588,25.39990702425797,20.64828199479705,21.905210472047667,23.94627978305214,27.62189349812267,27.99259861919832,28.382778502384447,24.135452683850684,27.067712811558867,23.06375293868851,20.452439211597742,22.196952659428245,23.261773058140207,20.521538040236706,18.06462171379057,18.271046713287507,17.348646430772067,14.901663562598737,11.74285390749791,14.288381502128638,14.885937107872783,14.53695669771339,14.748246239427532,16.994913288536722],[17.91287778707499,17.695663552505042,18.849147657361847,14.466229213832934,18.322427886411976,13.54423065748278,14.283158388439084,16.12955379123158,12.672435427232115,14.634079264043127,15.518971579792112,17.8990407063037,19.82922706210949,17.245414459520426,21.550743424837272,23.784597519809623,23.795555883868097,27.825499443958975,30.694774432539056,33.52083356629309,36.80674901311538,40.89172820146718,41.82312436370674,41.54071530286419,38.966856320370596,34.67830242245103,32.79886106868979,28.462360148373243,28.47345063588981,27.5737103334027,28.933062701212336,28.797773438574815,31.269918962894753,35.225750098192925,33.97259488312433,32.91361309315319,32.44719464575516,34.07813136154696,34.513074826367514,40.36284565484909,38.28677732609605,38.579776255254004,42.685025963452695,43.6200478126624,45.610268078675844,46.05330113485612,49.729179350364596,48.188298903467455,45.736513378023844,50.04533138186625,50.21224245833588,50.09482321938749,50.2020895571891,45.09618923949162,47.73203918958576,51.40258586050318,48.08312364009959,45.54425858072817,50.1272567420526,51.51124377684163,46.749874717474086,47.161215270174715,44.401348320914124,46.04899534169509,44.729879308305144,40.926208215812885,37.51916391324476,34.00839439280118,31.3638184437514,28.109613395285486,27.651041347504226,29.31560791630299,30.88828742089591,35.10718600942781,34.096976614195356,40.1372749177323,39.90027061720255,42.08068064458605,41.831957782767354,43.69852636885356,41.7644342209425,42.03409538869772,38.88641324919064,41.28486670558026,39.58838794830612,36.57242082946934,37.96200795091546,37.8056884082319,37.21070850179157,38.920805872301656,36.20344259720201,38.180955018461596,34.42648084183888,32.07738058471672,27.548780674062197,26.79697078590109,22.620794398457296,25.95633180205418,23.688852614227894,25.163954087069012,28.188931311581143,28.19661859898003,30.792507123254254,29.70179783539323,33.767689499614875,29.944913861427967,33.01741907619443,33.51944149987683,29.749233464076383,28.191018119186197,23.729532824838966,23.778234521287917,19.44944838222506,20.812738035884788,19.64995625336269,20.92628813414186,23.49899762286777,26.201121505017202,28.114581088850738,25.357255874771507,22.5410572744862,19.397194947882852,19.28196945460816,17.252848781908014,15.270639173847838,19.90197239990999,19.10588179137665,23.321591872520337,26.283651181656293,30.841750822390797,31.54570230517644,35.31886738005298,36.55856552404061,36.621917661951336,33.31986331695154,29.525319074349323,27.48536032724229,26.70116185176161,25.504269716834546,26.594270071746646,26.939445959217473,31.208373401714226,29.980602203921023,27.6077928522793,30.84623006970553,28.564041867888953,25.815598953359242,24.180121914057732,23.968618250883168,20.18794550286759,21.8692702492479,19.320439032277292,23.76199116097231,21.55263503611549,22.055677617614244,23.95999539063142,22.652235645677067,24.65479457692519,25.39107713673714,26.876622550416872,28.191320313212444,29.91770041839899,29.921639710274892,34.051132792196675,36.00305998247385,34.00270336901639,37.82921297511975,40.21345065906776,39.1032793668367,35.03896216595695,35.35223393189071,31.544761444228723,34.2711602556142,33.50643199055497,33.450711763378834,33.3756878452668,31.308905874759947,36.147008076632986,36.99074159023804,37.81536464499693,37.67854831218144,33.497242841948236,38.35161785336975,40.95560419290731,38.345431170990906,40.60196179873299,39.76554554744454,44.061068993224836,42.54869185220265,44.29206412397662,44.3928779437581,42.819763651961345,42.309538508001225,40.07279616889135,40.22009283562745,40.536164455302675,35.696334184208006,36.727462190202935,34.014709148820856,31.736127082147984,34.319641839594766,31.757585470286624,28.322123328398767,30.228876908647315,32.03227651887527,27.422970741261214,25.785770783804285,29.647252678410773,29.978701271514737,24.395448650411556,26.142172625143914,28.5536386826496,24.791921242842058,22.865815784484177,27.25636531164252,27.706222382730303,32.03508490382559,33.64006420087425,33.337196377287384,35.91729472651514,40.76267256075079,43.91819233652188,45.68664251369286,45.31625381181036,44.41544448794111,46.409259060348134,43.565743396809296,47.8816602184909,47.38321013650599,41.36241723035638,43.64016962850283,47.56733678596015,43.92943457785345,41.439852692137976,44.57583249857549,45.52070224295913,41.37843655553332,39.95016861024114,36.600857850347545,37.79586635220034,40.57240950776701,39.20632282543956,40.209797731598115,42.05746007178072,38.80535507612902,36.14606663617833,37.62269665713593,36.797881727330825,32.31076585196776,32.33091017060164,33.416070435832005,30.779739585436772,28.927594082305752,33.61040865636656,32.923223361411814,28.332124829607054,31.14688415429574,35.10008299648305,34.91481506325651,37.71496346389089,36.844639376694616,40.94897183690056,39.70247652908522,34.56644373967816,38.26595601539021,40.29901878793407,37.284235578398885,36.152502880537675,42.12591929412257,41.30718316421997,36.34724000632746,38.72508932606623,43.528148904703485,41.74674740241284,38.068771481405115,33.52099440611657,37.758922078114125,33.84513732636133,33.78934800726926,28.607179992332853,27.807301958903665,23.16481974495685,23.85545787684102,25.63733242749122,29.10582076318144,29.29997600101161,30.108584727165148,25.54347407390385,28.264441520123114,23.902269747678332,22.443964959963754,24.107301861141032,25.704218333081545,22.636449698048626,20.083123954298124,21.23044504640846,20.326203506133236,16.83538030398535,14.817569685979253,17.721371534847798,17.81184435190909,16.866713427172492,16.6865860952172,18.713213421597022],[19.093774373047843,18.44924568069372,19.096220273343757,14.154889678940071,18.135442780701826,14.335436957368328,14.803739832495385,17.49121324167693,14.122327221825445,15.158482064834665,16.509220961667044,19.547615242547142,20.43509604139085,17.364841996454217,22.046752980254286,24.322419110519885,23.587270585630417,27.473257178415324,29.724093953420418,32.813785918693775,35.838639990091984,39.955707775305015,40.60899984457313,40.01326673111998,37.643110989973366,33.333638095154136,31.760888045062416,27.54001338799165,28.13590327369968,27.831559080655577,29.382631164144815,29.710110847387842,32.47078563844769,36.114860219399674,34.6235071360419,33.08916875635563,32.85706956310493,33.76845278766382,33.94030728605338,39.84412347144084,37.27541397554063,37.70526920411267,41.94346961761629,42.55663823575709,44.271246118878565,44.497993400104804,48.23537715281603,47.01576917577621,44.4650285769252,48.82144557824989,49.31364716270911,49.39022482565014,49.670807607210726,44.522315959606665,47.58295791259108,50.99593116354087,47.431991431138506,45.259727432623606,49.91403879585661,50.88190844403539,46.10272787896365,46.7504152085749,44.249248447234145,45.54338116745258,44.00505114215373,40.4202022733422,36.80468175841483,33.615688089588595,30.59760065066663,27.73326508225657,26.881520408055774,28.54928773108297,30.561957794928343,34.5570240863297,34.016397400080486,40.19002430000967,39.85835515191529,42.418850855608724,42.05876808735309,43.72185190854802,42.0373095873102,42.082107593591026,39.34070765499056,41.529921925127994,39.452786692555904,36.60427979779463,37.819924369162926,38.19963598367489,37.26066671754375,39.49628679457124,36.59762143659734,38.64686150496513,35.061877116951834,33.0487498515489,28.464458893941053,27.93958553491899,23.698339873399988,27.3826621450565,25.33409746392704,27.408674111404643,29.71750527690504,29.901982184994804,31.922699688217108,30.87097122531118,34.43406241265042,30.531409754977503,33.812824925291444,33.96515253294341,30.205814152985322,28.982153447003103,24.347747816659773,24.010200371961457,19.788801727576946,20.393614865972424,19.186579136541944,19.753043548248673,22.361094777033138,24.366781175233818,26.58072193165683,24.40178412928866,21.289975941908647,18.35638780513511,17.54231853486888,15.918662260099518,14.518192545322604,18.960005510324088,19.031102661908815,23.01670660996356,26.13044784100389,30.888078651365586,31.193770132341424,35.25199929264774,36.08258658024298,36.532144299409644,32.70990367348412,28.9466043051858,26.602553108737897,25.515074178627565,23.917804680188937,25.200878882324467,24.866253324894025,29.077283076588596,28.21873314420972,26.127333995226994,29.586670772626174,27.853424755062477,25.04853363275602,24.05008982626861,24.21260379408861,20.89792179756942,23.09661489117271,21.214334297071346,25.999924433285663,24.44173847566908,24.66834043172022,26.073254057532072,24.23959139577769,26.07725622611374,26.325664246565182,27.505117361171266,28.03197570922712,29.699369925055887,29.005038439659153,33.351169317752245,34.76572127814382,32.355007021991696,36.43150754682163,38.4755266696421,37.5192418596796,33.42247068574792,34.096179489285525,30.34356956048303,33.428784834604436,33.08640956860706,33.38190083999325,33.77874417336668,31.815041027019394,36.904476817738995,37.22338018994822,38.12142950367245,37.429985809866736,33.544548499459836,38.121277991081165,40.471376454927885,37.641936172272665,39.87179972958207,38.9137262839197,43.08511054444601,41.109289157788965,43.061512190459936,43.03943790225296,41.796449399799705,41.21653645946663,39.11018422318895,39.440516705186184,39.80637987507147,34.99035161775724,36.40659486790405,33.8092118909702,31.944708212800954,34.764683968977565,32.613412447661595,28.92143663453141,30.598950934293637,32.874550217216566,28.470248852769604,26.141946968923904,30.332198893087572,31.34598753104738,25.552791645783444,27.02905894870049,29.822242954885827,26.43003914195724,23.981229644133208,28.275008620210926,28.30783346526847,33.070813930098666,33.81173466569999,33.832311037652325,36.74080330200503,41.472597076741735,44.809835904210004,46.45739455361309,46.33177183393179,45.28811846839331,47.34694761950649,44.51711233253288,48.612705511438456,47.98274723917687,41.859216073904776,44.12277687611248,47.78352169359243,43.988461077429136,41.479174650455796,44.49245322620374,45.1621232457675,40.9865986827039,39.4635715938423,36.4944896731118,37.99976941780042,41.002218939557565,40.02462239898878,41.27671205010255,43.483053465984746,40.24832576951248,37.2796964381809,39.12053831244879,38.61246046988254,33.93065812045155,33.84180551478535,35.37807045562091,32.93038288662185,30.756155687843325,35.49201636657533,35.15351357004641,30.570399969990408,32.99997672775275,36.98854765686197,36.46346832698937,39.243464620772244,38.22704072439493,42.16017454331219,40.901357716148894,35.56075277588652,39.09855861228938,40.990935372745405,37.89160864089475,36.485878113669244,42.428460607873376,41.459554589908365,36.30343660149562,38.54929889016741,43.358027288694565,41.41891772794398,37.59740429300406,33.00892039469267,37.009643347072995,32.950172475586264,33.42969450944161,28.150781020118636,27.790973288301057,23.36985110207032,23.31505407034791,24.98332394624271,28.178991989417266,28.440269769027317,29.793895772112016,25.31701422148069,28.12607811616258,23.766100397200997,23.167418672623157,25.18468269984389,27.21466202987224,24.436489337487675,21.36108413775786,22.965606065112205,22.61782395023654,18.64137830204329,16.904371240424233,20.426611193642767,20.67173945182948,19.748045412586777,19.66448067523029,21.77496519324447],[21.743095762029597,20.572804165152874,20.142102971880153,14.834825067311659,17.604935815441433,13.9698022181279,13.111366142501343,15.794943057704954,12.098324622953681,11.83132252252522,13.33099985346393,16.940810803347272,16.894329515843946,13.436481712810215,18.279087652918,20.548426123406223,19.4001154649408,23.1594710638697,25.22293833461608,28.380270411845988,31.332121788941883,35.46865634373507,36.07921119845004,35.50002219844492,33.15809969860397,28.82482438160841,27.344508703684408,23.151851051455445,23.890606811221982,23.92149252731714,25.481247130781174,26.175288700429174,29.107799267147303,32.4646562379947,30.83400777433155,29.020856166577744,29.038004600053515,29.59422521682482,29.78949249319071,35.80625308279806,33.03676470616474,33.32032181598032,37.59960668589844,38.21309784043402,39.873941574114866,40.19313051385588,43.90749647768534,42.68410034071949,40.27593114588224,44.70821168218589,45.14894609963709,45.34792836048608,45.56395164832485,40.41531205242647,43.534598955857064,46.78703129414019,43.12079274884044,41.018858977526264,45.67069928266183,46.50978865645859,41.684462880211086,42.36321585835355,39.95810199334993,41.139182023742414,39.53391794870086,36.017299280311775,32.35682953455837,29.26935724982275,26.193743746822303,23.50669413418052,22.596088479007804,24.468182923073265,26.473682313735644,30.294687560051578,29.851132048758153,36.07849381200513,35.63041935562748,38.37820777367825,37.95748558466274,39.546746624087206,38.066144392955096,38.12118892722265,35.689103054237734,37.91401381232304,35.6753120500431,32.73445681848606,33.69429251259095,34.31707999280147,33.10545124589375,35.6071544345532,32.61652046055926,34.76136775416879,31.31444490819277,29.53609623017227,24.933151150125685,24.703118959348995,20.440869134568985,24.293501220703455,22.53180755889106,25.335163683818113,26.829711605780286,27.531110277010654,28.90839004172735,28.338528716756674,31.734042749204665,28.110206773512658,31.80462860563162,32.094320616423175,28.703136221379953,27.258387505521583,22.765742632356265,21.54312875212832,17.214469571307784,17.133565183622697,15.291698032680243,15.644947706031125,17.989595092457197,19.94174792164914,22.049457004584408,19.91610025273233,16.76435708053284,13.888670998387777,13.172356999993161,11.850522643030098,11.148223116003134,15.953498230884595,17.16614116873443,20.672480002689124,24.056422844699878,28.609482016855836,29.372957693007628,33.44109819955012,33.849157724197994,34.0926740166134,30.17660803338905,26.157511587613342,24.435449474964997,22.65732292994696,20.7186849221756,21.56389379122963,21.040947953195364,25.060674910624492,23.94568756026197,21.95201087334046,25.35178085762103,23.706896197724152,21.024262818792476,20.313218064407398,20.963239354699095,18.04600873402632,20.963757013742413,19.474451745860826,24.597522373463892,23.817748844539246,23.281481279033176,24.104507593214787,21.699308688736938,23.66828620528594,23.213110195249268,24.638635082298755,24.687166636462415,25.89191342408498,25.170495404954625,29.43820159207793,30.895004824221605,28.747627603130873,32.94161515646608,35.04817908585336,34.42450917426305,30.31146067081962,30.966507108743436,26.999917177156004,29.87655119072003,29.60146898456905,29.85618084422939,30.530365646762018,28.356173105316348,33.678522629559204,33.70023107593603,34.83733346037528,33.96420001972838,30.555010585160705,35.159280322280175,37.44300878768643,34.50089875074324,36.2902002270603,35.031522264943156,39.241801824092896,37.28395080119247,39.51894660640179,39.730278411325415,38.618887334823484,38.38187822058333,36.54155059007002,37.171537212935455,37.943769234542586,33.29091404719855,35.009775953121704,32.898871532156484,30.95486499706761,34.31863870772892,32.17382559375628,28.3975554476456,30.59564217564615,33.13451105713726,28.8266236610909,26.7469845901663,31.204014587061764,32.32175609806438,26.832792275026303,28.613987351833366,31.596815265104688,28.293196304374195,26.18029899843846,30.628036159037645,30.32759166058376,35.190906915894956,35.51037951014699,35.23179394663657,38.30323081609797,42.74851328338262,46.39275048860635,47.628907844196014,47.20335304331551,45.79171667316948,47.55256312796755,44.381005373174546,48.338164036622096,48.04323059579807,41.79081785196332,43.647059604741806,47.388091541740636,43.78381764232142,40.96019754430387,43.62353958496375,44.65127238685374,40.65453369225526,38.43366896461278,35.93362880943105,36.91333203147194,40.12383586081981,39.579579539307794,40.59064870626528,43.11214550977076,39.53176059924033,36.68063119816634,39.11533182700628,38.459583665566,33.63345620004446,34.06313053033015,35.90945884087391,33.545778838251834,31.584074615993497,36.52053575000728,36.40244154561313,32.06639232269078,34.599384006142564,38.55962690332521,37.848649918867224,40.25360622368844,38.77788805910544,42.68785696191878,41.92988108684772,36.427889993715354,39.50675523833974,41.73956376882,38.831888171580495,36.88787997525971,42.83911074079982,42.30604399630244,37.01470013320253,38.718638204051956,43.77794827004546,42.19723715245313,38.311664013430274,33.89174304813304,38.07561879636972,34.238796890156024,35.10503499340107,29.73590398456684,29.08123160891553,24.836553707971067,24.841840591313275,25.930572169483735,28.943997633176437,28.66746038071632,29.985693211035688,25.0706685134128,27.307466121608492,22.64930755295172,23.132972521257006,24.70742109811039,27.15377892091156,24.026216573751977,21.168074648334546,23.714927045240724,23.22823625632994,18.4169141524428,18.10748109713257,21.727899505285965,21.38025081291898,19.992954353244397,19.664052536457696,21.66330698445263],[24.376836628063085,22.990676665043036,22.26831638558164,16.796440861984248,19.57663561235885,17.18543682265454,16.257451253572544,19.488411383783358,16.129940304091747,15.01355616911861,16.69391910197911,20.669675786156304,19.637059942219295,15.77706221281921,20.587497026421705,22.86956513103956,20.880773687415537,24.1661323121421,25.23226282364821,28.76368448680628,31.21872640383341,35.37844396518558,35.53460006212544,34.53570999448016,32.595066281962794,28.281412759820718,27.377356732412956,23.49655557365839,25.010311528670748,25.847152458167738,27.391455721087482,28.7369239785124,31.822582136235432,34.71422732108821,32.929921678723275,30.590222175252922,30.999036192044255,30.627472206411852,30.520970138625316,36.52289133328957,33.084834443023496,33.4591407069962,37.86273830389534,38.050801237704576,39.26909818493024,39.31431087386944,43.070955753946336,42.323578840533415,39.86932014379534,44.3467054433265,45.20393339109669,45.69467493529657,46.10144472016501,40.965837089118175,44.56477851219592,47.412034393825785,43.44139981350864,41.824233216397175,46.490556129635785,46.77055781219446,41.92896426999685,42.8384486426501,40.785590595247115,41.41511827027396,39.60721271584028,36.479199946783154,32.49418515664271,29.933479817676318,26.33503762893322,24.255200959453482,22.76005758269862,24.433311289435313,27.07584953079318,30.53664458129111,30.82572390692736,37.07090818205146,36.63420723285981,39.80718776276043,39.34118137571813,40.710130301787665,39.637607693140374,39.48011640307859,37.62658543677089,39.60524477448216,36.93511618445092,34.2134398969446,34.84631353850149,36.11252204440827,34.406041939766226,37.4481206745831,34.226887755257,36.309029244518705,33.139916548004095,31.839003479230154,27.35699110600171,27.277982841683336,23.168979420116127,27.374336228260177,25.971368646990996,29.269831716536235,30.09671171676673,31.039760585017728,31.79496473985903,31.345541826300273,34.14005315131228,30.536487057921867,34.37231609907283,34.27501603653582,30.972164764147706,29.932963713989412,25.40513692354627,23.815398120596413,19.841046613204472,18.821100543706866,16.932093050939084,16.191611010446145,18.29024755332224,18.914842730653646,21.307693923632915,20.19166560835012,16.72721089109083,14.517288512305152,12.81129528980523,12.535781296062726,12.994865671237392,17.063349904785788,19.345375046711478,22.359232154764427,25.780902287330253,30.416904770918258,30.68274045921224,34.99956754928835,34.89123127586001,35.60034925012678,31.12161930079413,27.24475710246307,25.214952120569194,23.040434976205326,20.54019036698988,21.564383756655776,19.87250862413736,23.597952988463906,23.045282347750334,21.6355082418163,25.23355834173905,24.452557354239975,21.856996472241335,22.068083872638095,23.20943553494631,20.98157147618133,24.284003901865532,23.409418844599177,28.640284824268583,28.28018222995786,27.569277170781945,28.033551584531008,25.25395896720392,27.047674158096935,26.076900595850223,27.1897567203066,26.29457728792715,27.29048050677165,25.685749331399204,30.099313395548837,30.79142053287511,28.135085414233195,32.64318022349341,34.21573202861984,33.88212114594135,29.796425393942425,30.965289970532258,27.149022711495157,30.416191327818936,30.711140514891493,31.379966767223472,32.618200728642265,30.566259897450735,36.067690286734596,35.47797432970616,36.718745187325204,35.188197880566335,32.271715621758524,36.44366338764193,38.36315536254287,35.18021889987931,36.84105624116293,35.37926156404252,39.36218703693901,36.784501121246315,39.34467788215799,39.41333361547489,38.79355664077419,38.498440511466754,36.88359500113003,37.75899898510747,38.59000779884179,34.057114939464704,36.22115798592534,34.27675039684387,32.86740481285455,36.39026707773266,34.73041977059573,30.77490471033664,32.623389211351146,35.58939986215938,31.5667108088992,28.794631784062886,33.45454171598433,35.22541532767873,29.59156576365334,31.01716866387417,34.282938765772265,31.359196867951855,28.743431399821272,32.97326070301224,32.32495901591796,37.52652733535655,36.9971854746762,37.12746890832199,40.47686697676741,44.790917469378705,48.54284789518392,49.701845462331534,49.58722756196558,48.08156501964938,49.928462136612964,46.83641189230748,50.52547753213469,50.05744596692021,43.77141104056833,45.622941086734905,49.01004321521806,45.24826773243428,42.46323988304325,44.96504959226694,45.624638924246796,41.62948932749044,39.36591233734568,37.348770765847526,38.70437882266012,42.11254625245282,41.975860760621124,43.25667381497797,46.096343677112756,42.59794977728243,39.46314201629558,42.181324952273805,41.854083097784795,36.91748480771033,37.181127986198675,39.38998267954175,37.20907357988653,34.95361152239398,39.849644759294236,40.01131617172385,35.67674807185724,37.825710054042474,41.78590879107806,40.79142974983815,43.21059889286177,41.668414383419545,45.36435214806106,44.53492168279792,38.91153765877246,41.83580099167013,43.84701300684639,40.85996619043592,38.709263286455766,44.53830027188757,43.78821593326606,38.366805554458594,39.94374352571453,44.91056338405275,43.12185089553044,39.130170094266695,34.72742050821914,38.5114639081407,34.54118880410818,35.990643509937556,30.64972965560443,30.563108717639146,26.664909633285138,25.830830412966094,26.814500086585376,29.406917377920244,29.273417263338782,31.225787438636527,26.605224168567272,28.90687410412757,24.436416225360396,25.75482017267968,27.672954143084002,30.42647125200781,27.66954904424793,24.40812940671564,27.1538362694615,27.15415487177568,22.21619046118165,21.881564702675803,25.84367928400594,25.717825748588595,24.427618649441847,24.189024879222902,26.192586631086378],[28.01402470904019,26.51407627290265,25.30659426241341,19.857969230417808,21.569717757036194,18.86946485714356,16.817841566783013,19.33560442294625,15.597447284475823,13.128875862310387,14.233524307819966,18.52184933046471,16.85437044853413,12.434274803453603,16.799358021112504,19.255469619247627,17.090842229329166,19.876113377850867,20.74035505849975,24.520483113493892,26.800823443585905,31.127482369037928,31.19518215004084,30.419997192683724,28.628102380343424,24.202440888813353,23.572568195666033,19.75355335181271,21.17638604127134,22.36223715917557,23.252076589617054,25.290753447503274,28.213888977860083,30.711557106598928,29.09070340781034,26.596489117368986,27.55337112211295,26.99435267390994,27.197684886315216,33.3980015652943,29.78908355176605,29.627094824039407,34.05573578936235,34.459908022428614,35.62257949413986,35.99439431079862,39.65453228849596,38.79963494392006,36.76568849436686,41.381986721771966,41.965240932424706,42.627280812240116,42.77229607815827,37.68690475126428,41.07616175316481,43.71353600210375,39.65444524244772,37.90973965456033,42.47719391576824,42.74917883910951,37.725918375800376,38.37316677119082,36.29386426969263,36.727686521152336,35.11122569481482,32.089066025104465,27.82496422642128,25.32474621325315,21.529288341144742,19.487819296819943,17.847539995977893,19.480609608388605,22.194190072853758,25.61565287492872,26.11454170377805,32.32394463893398,32.09031245124189,35.34192800114816,35.07058896413819,36.587896595579494,35.8903159830946,36.045322276769745,34.54115085407679,36.79060673319474,34.11097152236733,31.05757569277413,31.161618364215553,32.474738071432895,30.286608992740845,33.29878249076715,29.848542750249962,31.747362104080178,28.717066661447443,27.730264909799093,23.425697647070287,23.395560230813004,19.513262205186564,24.08340503234186,23.241665907043707,27.246404367310536,27.432898522855872,29.24053382733992,29.4085201519755,29.811721871927684,32.70385909754486,29.641024294088485,33.85589836077978,34.16458229814593,31.363012582320344,29.865523081212316,25.71132588985955,23.241377494350953,19.191495441374133,17.603450947355892,14.550438925773271,13.727562664884136,14.868171230811994,15.33534037451623,17.018704906815774,15.850495061567395,12.351509194409347,10.603268658192269,9.82479374744806,10.581134739454864,12.25111386653957,16.63331715048892,19.897592645802522,22.311031779216925,25.905817838134038,30.060112537523864,31.125289772224797,35.24273955048258,34.79684179271391,35.014239486556846,30.743743411270724,26.564575338632135,25.590238946472375,22.652357541054478,19.851277318451142,19.982130144949608,18.070066729185125,21.231476260541687,20.000280812511846,18.858858514874516,22.151274788703386,21.324620571313343,19.14748196255484,19.571230653937132,21.379117475108792,19.563867260372866,23.473871485783093,22.60867818741607,27.87880255767597,27.904786417727586,26.352394804004092,26.494760189752128,23.364499370562935,25.55920422684774,23.79397839329906,25.630849138083686,24.492852691984034,24.58086409516569,23.390483074620942,27.440521994906106,28.47231175157661,26.506902128038785,31.076347064097153,32.8334755679787,33.01180012211743,28.982870769089267,29.97925140813544,25.867133193570552,28.54483732065435,28.72977763922508,29.0812858196734,30.46724815597218,27.929258792577393,33.603487470814386,32.90075085507493,34.5298240570336,33.07355083925239,30.827370934476143,35.151413463486584,37.083082379256076,33.87008638747945,34.77238910465451,32.80629303979035,36.892302419330655,34.553598463817536,37.541170536865934,38.048077589777364,37.52422396996556,37.78709969937127,36.52326738877021,37.7184074537541,39.04019358194431,34.7589640561975,37.07491535272123,35.64382806832619,33.957239653841306,37.898478721227306,36.035287876772074,32.176906757967686,34.643510222896715,37.58952039046772,33.57061553913119,31.398939741416804,36.097648139727475,37.58364132088493,32.3321823175108,34.132484007263834,37.34291984898834,34.28087002292098,32.16979496010763,36.569855167385384,35.89814177208195,40.96649822922035,40.54297752267179,40.29042358614441,43.603769285183844,47.73393838561106,51.64589993221259,52.51501937037132,52.003822105922175,50.2376243130336,51.75166576426391,48.3179491116264,51.96823584305061,51.91782197796017,45.586505402722295,47.013116862960686,50.60282276231316,47.13639462168593,44.054067650039244,46.22023209871638,47.387135193376956,43.618481134568995,40.67834437312829,39.006942508491996,39.62372262977622,43.116155935668694,43.23807598569921,44.10092527739932,47.04472276945786,43.172873213935546,40.39157471990179,43.496658053136585,42.808885610601536,37.88609508382915,38.74835671201502,40.95944929343873,38.74585137271363,36.909032796296145,41.931542390745,42.06274177502639,37.94596681215027,40.41642306641521,44.325881567878334,43.380573263726895,45.48038723625809,43.60664437505773,47.36503048588621,47.00635460028333,41.36836567737629,43.947634515076416,46.340864723825106,43.57650342876761,41.088108982259044,46.91275153085117,46.63345384374142,41.203868653269716,42.338703924720164,47.511358383467126,46.12140880588953,42.151381039119876,37.93066525000024,41.94174574642107,38.21915720448666,39.745707485522246,34.38778085496109,33.8910037287628,30.025453624660432,29.56779089832447,30.17145346632183,32.71427697409021,32.10066835700684,33.7687744209981,28.754585516205694,30.411211456240395,25.708028549225578,27.629106010542905,28.891092181959312,31.769997757326564,28.50166320720179,25.836780582595747,29.142242054779704,28.670245886614822,23.332130059645642,24.074935221679343,27.693100345750146,26.931318929638596,25.16457072625569,24.56355639402136,26.241172850466917],[31.712160999868864,30.338321211032895,29.37636334945159,23.88775702987243,26.005652419477453,23.721858441469283,21.934306253187703,24.602534186573834,20.830027847224553,18.296479810084655,19.077897682197875,23.37794661554375,21.634330199756143,16.997133976352707,20.763921183765635,23.385727874623754,20.979996650227946,22.97043628761196,22.831121409420366,27.05468987841299,28.62384346322003,33.029772160749,32.50826756297065,31.457760030987323,30.33540343321676,25.981411670678963,26.175759980965037,22.831445462203195,24.68142125299978,26.43970872432471,26.66878349483314,29.458329564867512,32.13405119060674,34.18119680988278,32.78686477210575,30.03708564058672,31.55066992593082,30.39552053818998,30.549714364433207,36.698528765851705,32.516492642106364,32.12682252004648,36.5879401216612,36.72272766615614,37.358775142035135,37.605450468997915,41.194303920940136,40.81984320988884,38.995499277933035,43.652755981060814,44.51013685799803,45.51025471841915,45.69092045518,40.7092135381672,44.30905528640003,46.479429354712344,42.1574023459807,40.743067892523676,45.18250634532715,44.98478814571376,39.863779521840605,40.42506085471626,38.60207509901873,38.31934573966939,36.82586189087265,34.330874564148345,29.523935847549968,27.60155887643497,23.198952084055943,21.65445270250616,19.35657800983127,20.17735665286347,23.69430221238576,26.857728622225284,28.292655369109163,34.27754719405662,34.49606712941397,37.98269363798029,37.97845069512912,39.51315681440872,39.36601505615403,39.597931995443986,38.61732882155971,40.8264693634586,37.914295596907095,34.90772560219999,34.51523680508844,36.18955596297643,33.40345093643496,36.528760189839176,32.749414097529325,34.19236082542703,31.43548189239336,30.937930484066545,26.98169751561009,26.691805941921913,23.195221686041503,28.236706221800134,27.816523692274824,32.05905806526511,32.11211145343587,34.28634477982094,34.18179827325436,34.84282294199637,37.514514324420524,34.54415619184479,38.80567615241305,38.94047717012201,36.17208717273964,34.87803248611657,30.704718564431708,28.1538492802978,24.281034135667884,22.340694833036583,19.22831547582706,17.823616091915223,18.373528796579695,17.392665486893716,18.71971514431866,18.628562128614295,15.140517242237557,14.459711274935925,13.465814465918402,15.095269119155828,17.225258909849472,21.11457966228932,24.730109724113017,26.952634299707423,30.511631795583398,34.678594449879675,35.42124245694132,39.66275846611958,38.90164524436034,39.40666177377933,34.82767403938162,30.79621710084588,29.63278502739789,26.497937116211524,23.340231210916635,23.512509953256007,20.546398898885865,23.024284786678063,22.22249893522803,21.855200504229593,25.060225945702932,24.95804762555442,23.07970922237205,24.081944544848362,26.206532467305873,24.694391590113835,28.69698342132491,27.852519783290173,33.102907270561374,32.963656297530264,31.328784963640306,31.57202796806561,28.41217111865047,30.698181470733278,28.66596291166209,30.55372196301416,28.95776887520184,28.697698135252903,27.059357874392923,31.003961898146994,31.477154839758594,29.257737887925785,34.03107328699559,35.27013731990493,35.81578106731442,31.899802096270104,33.31150055708278,29.376913152788756,32.202580249323844,32.77226952500481,33.30313597639854,35.01082104283644,32.414567841495284,38.147686350669005,37.12433074766357,38.90763189860557,37.090230194561215,35.30818487147832,39.33670246788667,40.995802770252084,37.64031120218619,38.28119039304407,36.03454258694868,39.88889272841728,37.07693620579677,40.44529982000665,40.90619706783681,40.84373819652365,41.1259593884774,40.08747531295232,41.46848835021678,42.81340009875096,38.643107389221576,41.22422849120038,39.83661562603612,38.49746918003679,42.428962551564666,40.822236274727565,36.88035589976163,39.0398674601883,42.163694658103786,38.242653027498605,35.61872958461655,40.37133137756612,42.16898472745511,36.70766746389156,38.226561510748624,41.52891218459718,38.587457002110284,36.082791921498064,40.31775963141199,39.58813516360904,44.83015424528744,44.044270668438166,44.18080191747942,47.613376379818455,51.779259480714934,55.64330243616906,56.62091446693544,56.39895982928799,54.682742095411186,56.325398238976234,53.00890579477767,56.5344852105059,56.30880254463838,49.98459203773004,51.4922116191653,54.83614310108891,51.22760538021656,48.241305818712114,50.352598502815106,51.18839320376449,47.39307661856269,44.5649985433609,43.15026756144429,44.09617150084816,47.672534977800694,47.95264672203795,48.99320515440277,52.035025672795705,48.24345082544889,45.32265140381048,48.448535780900954,47.911840765313606,42.96244961743416,43.65216671136664,45.9284976123679,43.73491969246779,41.73065318221743,46.70427467853059,46.8563070502408,42.62153812770636,44.93634235636386,48.876928083942396,47.87218039488021,50.11649564413274,48.34258452538868,52.01237632126908,51.46391832458806,45.79414446401573,48.43048511286298,50.59899739143987,47.718978066318144,45.26116924706948,51.00930213719508,50.45030332414627,44.969913371593066,46.17449615310865,51.20545932214987,49.54874065967742,45.52262973651764,41.26323817492937,44.88361185073344,40.97492917110047,42.81316564559496,37.518319589364054,37.53624925337191,33.8077206612259,32.77307999026498,33.520967016749324,35.81132979210153,35.48205618333313,37.61178231504745,32.907011087707936,34.737894934583764,30.208710016267123,32.30618768679202,33.840463334602084,36.76486842955948,33.65322913975587,30.791315236302253,33.944226307600495,33.631701353120384,28.41068911635922,28.72771340280117,32.42029948018147,31.844611574736156,30.134818213108385,29.520262367894535,31.11552715561574],[35.58565616926396,33.94250289218981,32.31585775886153,26.921073497781514,27.932843960181785,25.83295705865905,23.1662804578927,25.300763732224357,21.71476015960922,18.09781863773459,18.52934366793269,22.77599474453805,20.03613729617314,15.485202917096329,18.27829214812149,20.675992203022542,17.799800513500927,18.802833310838558,17.84472014746557,22.275441593183007,23.378709033266727,27.817556243409243,27.063738201645002,26.103726030716327,25.282908714233898,20.973250139129505,21.708624081185775,18.824705388274232,20.85619829258537,23.2721549278097,23.014627699933442,26.553850560135242,29.136350341090715,30.48379987722868,29.09619494488226,26.007346842093867,28.12276924060082,26.35783945537635,26.664216450440367,32.76608297191588,28.302079570012957,27.421922809422572,31.82960272553725,32.015635633853464,32.448769898277554,32.95289404858118,36.3950422704629,36.038116748236924,34.66449280163079,39.38325012488625,40.061829850465074,41.29718033462816,41.28910862290084,36.459066418970004,39.973290780201495,41.76188901776462,37.325023976670096,36.017915598387674,40.30347053235228,39.88770373066537,34.689561201556984,35.1479699156492,33.51472263143018,32.87146723614772,31.41498888235311,29.215212381808694,24.18580722314168,22.67440834847037,18.033244862489344,17.111307340748635,14.46615169631219,15.294097314534355,18.97997842844679,21.631423711788678,23.54630477008339,29.354081050040353,29.586445023268368,33.309832774918426,33.35664350390263,34.82227163701723,35.18168690749008,35.56502302980307,35.20043898031449,37.473073210556564,34.451740938001016,31.333756989930464,30.320045750318183,32.31495075158453,28.9696019691405,32.33232280724293,28.415395986320792,29.763332364077502,27.41663922464417,27.487438984740642,23.931706559097773,24.00383637285945,21.028597378944102,26.011854249684628,26.23506430038136,31.113775993467875,30.13045429831931,33.01853729890704,32.05123017536985,33.48532154954748,35.8662857515761,33.52446205188891,38.06117436339905,38.44357394013288,36.282151557424186,34.7315587628861,31.057039323026675,27.681508540979838,24.131979541664638,21.513595355236728,17.713130692859114,15.960645287188292,15.243390594641996,13.43246288712896,13.821875111446959,14.37055506181239,11.22024466471678,11.86490105139778,11.627844237846665,14.377405681804154,17.52138822254235,20.941224234119897,25.45630454436318,26.844725019829202,30.396070508187428,33.94983418209567,35.318088159553696,39.30344400381923,38.0719633281099,38.19758486198578,33.811106424090575,29.686456363995013,29.543030837582396,25.719718194378324,22.34739600077909,21.63757286677139,18.354413097396957,19.83886702489409,18.486562463069966,18.713512174552385,21.386317846903594,21.62248691388359,20.385037874351944,21.92049630071254,24.702660591087433,23.98800430878764,28.418879761987878,27.977347069392874,33.09536572083389,33.6627562113251,31.3000765792137,30.942691302324697,27.412709692931198,29.770959062184115,26.902141664902352,29.154117067348665,27.02768950135194,25.814573709496855,24.340247568031707,27.738431291624043,28.280244790842794,26.76624393904194,31.479633223772716,32.754236036776916,33.89498000619065,30.188401935791305,31.47842349116206,27.454209118526844,29.647595518492363,30.275298180002274,30.62949456121747,32.64661645484443,29.77975328715914,35.5233497660722,34.14139754635753,36.27841173329224,34.3330888208225,33.458400003307894,37.347993576915975,38.85742319980065,35.50025084928312,35.30288378932709,32.54602897364373,36.32359462905948,33.66249660368988,37.480427902548975,38.36195818004653,38.517436511688096,39.36410694704595,38.774237511288526,40.51408506729148,42.36167606610852,38.58092321615153,41.3675157886417,40.59332637193607,39.14046596934082,43.47902626056417,41.84779492121287,38.02645979092052,40.68255114407101,43.8734780799664,40.11895487376839,37.95946028638032,42.75436955987996,44.45345071708707,39.43393479551744,41.24431344744711,44.571476479804176,41.664070505113756,39.58776556349678,43.931675384656174,43.028176085735545,48.202729708979284,47.25842129765806,47.0315607593958,50.492480202666286,54.35611012358443,58.44266810540096,59.02084553482045,58.42768297300084,56.38081960847341,57.65836194575803,54.017887054968185,57.37080482533334,57.55991230773971,51.23686450264866,52.25539985808519,55.68290857020466,52.400042901313185,49.12896299869859,50.80605081454148,52.10434944879585,48.60683899618096,45.065376197613844,44.16595591417633,44.40996360450462,48.07534716410743,48.761964410636836,49.44280263292067,52.68535600516136,48.58976175852622,45.96230947404042,49.57036079425274,48.81196323648435,43.8988460883398,45.13254653739609,47.56104075288005,45.45945788401031,43.78371528877694,48.83086009224495,49.11019562834956,45.177678063702,47.63792660713686,51.489919103382235,50.40225772323687,52.251076964414075,50.0794656629185,53.698593247000126,53.67616752937117,47.9882174565593,50.14750193474852,52.66137801459817,50.04326102319815,47.15364500317176,52.80397451600128,52.74524322753809,47.270263908940436,47.91953267297992,53.11916630835375,51.90494286209525,47.919269407516595,43.92231716540063,47.718483096957044,44.134439516137114,46.1611826720493,40.886459246352004,40.52806790702652,36.973251017944754,36.198223963601784,36.46167558926137,38.592041431584825,37.74100194333683,39.644604982640274,34.6770736055463,35.81271494878269,31.23846894098714,34.12098651991737,35.07982647716323,38.1891362979771,34.816525113226426,32.42819910224229,36.173068909572734,35.64014611909172,30.08281368221945,31.46716224199637,34.98218861551396,33.91937619098087,31.882599411521042,31.054592997688335,32.411104694658654],[34.50481470105049,33.20848452212051,32.115242457455324,26.72959048627902,28.135603151246293,25.034910863908763,22.482382453714376,24.07187323764648,19.90371620169044,16.62460374708494,16.286076007886194,20.425521092402285,18.795355219049004,13.896080560983094,16.45373552896756,19.381323121205398,17.54318693103246,18.823695835996435,18.98746808865294,23.35504741599745,24.870643476821087,29.510149858668946,29.093390881854823,28.687692414571384,27.632688962972168,23.1833417897576,23.498309710820696,20.18828911689195,21.27808450059365,22.939392979054677,21.86187899085711,25.351232542843107,27.462265041945983,29.203110657430443,28.34440720032794,25.83248013402364,27.94690428576195,27.219493597318664,28.040623907078817,34.353366768915095,30.43089679221059,29.192107006076704,33.54190810227189,34.26484612237757,35.05906731944129,35.921580173172536,39.29894825098754,38.515445719169406,37.33019731869551,42.07978061053343,42.314211994400694,43.35620558693044,43.06091533364451,38.199660668502744,41.13850747219605,43.252503847468546,39.03680393772482,37.11287474618374,41.3416715075517,41.509233110053735,36.13906578028668,36.05653100820828,33.92675865332563,33.62904122203239,32.69411328906575,30.169765232853504,25.03476082490234,22.884067570748968,18.40762851236569,16.405840967098413,14.121446410220127,14.512391039030653,17.988349631519874,21.504643407690573,22.96120986100481,28.79589486032501,29.578695087773283,32.825523463664005,33.293144399178985,35.27864461863575,35.4563455782396,36.332415421162295,35.45142349455903,38.18129038068605,35.59584105309597,32.037709795537374,31.091385643172266,32.322211868458616,29.133141843254194,31.670649213463754,27.633960478295553,28.605024966809165,25.858068179511633,25.56653316973017,21.9634077155558,21.367145176205767,18.336936049401782,23.793625350355548,24.042471954379728,28.738642154211437,28.556805580302875,31.69168828492113,31.332263590154707,32.963283705117284,36.1148837056014,33.77458346252035,38.25819351749868,39.039471960161784,36.72113781928929,34.770456272495935,31.048541201824737,27.9575318787054,23.935158035600534,22.056276594367255,17.888715267722628,17.126406069236523,16.52985641066043,16.07820905782201,15.920480765646047,15.137999565850652,12.095181462341555,12.041371143028465,13.104834039824267,15.106539158947937,17.580251073204977,21.916944606220994,25.68282445689302,27.609947087771356,31.22971203465026,34.831084794025095,36.597963651281106,40.470187442057444,39.711551489931736,39.4511833444506,35.47266549640649,31.13024988474678,31.111852398538677,27.58412818349758,24.541217556974424,23.764514453935206,21.343600092309707,23.26120361813118,21.342910636034002,21.014603366389093,23.57516566801074,22.891138536430233,21.595626099598586,22.24063511950005,24.764949242663302,23.336854613535834,27.58075538345411,26.318197874677868,31.33432493478902,31.197793244294026,28.77036051363199,28.995057383231938,25.832780191390842,28.703409139967345,26.132193586366235,29.07680912471351,27.86037586968996,26.64209602063493,26.115536821280237,29.420343379042308,30.75654354969962,29.651308372481143,34.218737669638806,35.942424430028076,36.837318032777475,33.013955180414754,33.938478375495826,29.688230340682114,31.597540114671244,31.684012470997722,31.564366779400835,33.03873813922369,29.790566131470587,35.50016928386027,34.78774723749944,36.95798076607667,35.69301083276571,34.39144284111275,38.79157518969414,40.66708743414893,37.47127667497007,37.34052188860629,34.65004245761292,38.70867663718474,36.591707552247684,40.214471977447,41.22897905974292,40.97981762983682,41.86559691102311,41.04811912256618,42.57686131596392,44.331098741790036,40.33973877741407,42.775155438144246,41.73395034940931,39.852992045712675,44.01355561713068,41.946519333280335,38.2322987592542,41.082077674844435,43.91281259750898,39.842958489987716,38.099135646101885,42.74436890260717,43.9058573490708,38.84925928840164,40.839670764302156,43.911980116257126,40.63372067341547,38.79470596962165,43.266346265345945,42.747648029567294,47.68931944803785,47.515311296006026,47.13962669055027,50.36957415472002,54.48698470866138,58.3929806732003,59.20749056421157,58.47124203450249,56.61286148848238,57.91733809888832,54.269729971432255,57.92270148215291,58.16931443932703,51.84737154607032,52.99037332261935,56.72214336482474,53.46825965369868,50.21715211760906,52.13172468817542,53.62429382946764,50.019348807271165,46.661053213552634,45.25269958751037,45.336935409273316,48.842674858276105,49.09000657188806,49.57408777814284,52.47051128520619,48.30888763300708,45.93234173479696,49.181311131508274,48.097339529227895,43.29386874588406,44.605948606359185,46.60581254071162,44.272493003366904,42.84391619901502,47.89959792812023,47.81268294120158,43.781341160792245,46.59908636811498,50.477522409597164,49.7214625195337,51.70256834685066,49.72116447410184,53.567558354497805,53.44302438970449,47.86321758125508,50.320041305820624,52.925560329246245,50.270951236079476,47.68833752199704,53.49993114789824,53.437165129831975,48.027664243841166,48.97375494965626,54.22230356632807,52.990194617654026,49.03441332890854,44.881070168848744,48.908472980700736,45.22079854940886,46.779637435304444,41.42329187968342,40.84627657747437,36.92679737772104,36.5974099364693,37.171628360204686,39.68174827525127,38.942639049555886,40.51388563908504,35.35281793550035,36.64359017041258,31.858724775455947,33.93399069824323,34.71617601222972,37.504641207340356,33.761963961620296,31.721225685469214,35.12749323212553,34.11395682857329,28.797389812544242,29.93436453620308,33.01806677738059,31.784035485137363,29.605634667647063,28.5732872617269,29.704437461700408],[31.706010511358247,30.67543535137067,30.160760568954892,24.74801185448027,27.007501955383802,23.6885617067305,21.840322440084805,23.78332182904067,19.455401974674455,17.120150595492333,17.040226765753957,21.14913830096598,20.371948799650223,15.514305076663277,18.797265565921478,21.824958542897757,20.328136822048283,22.313893446138067,22.963912674532928,27.174496869005342,28.98525310100675,33.58343880525386,33.30290855930591,32.78501041955525,31.539344854244227,27.059662440894375,27.03308549852698,23.43473847871296,24.459894547997724,25.654943653377913,24.998308439325562,27.86482373177111,30.032052702828285,32.294551422112356,31.4258862343605,29.167846041671,30.815691790643537,30.501181506456597,31.182153561943817,37.51329322910219,33.767316282331066,32.89851382376478,37.290835537194354,37.949077682473664,38.86791904617063,39.535637310456636,43.02994788818099,42.25177887831218,40.74139861500976,45.45456130739612,45.82710568834572,46.70534364247182,46.54995762061985,41.58265563787295,44.59838944197216,46.978969132092615,42.84158933127976,40.86482140260564,45.20131546546756,45.50630108953779,40.19998762225212,40.21656647198121,37.97567182824845,37.92123587767509,36.9339777601789,34.22209373670816,29.269391865200976,26.884525002552916,22.604325764229106,20.286785812841874,18.268446114953647,18.68781718937657,21.987420299918558,25.76146789472371,26.884727741485566,32.793156779982766,33.53711676668054,36.609162976575746,37.022993048120114,39.03315887766871,38.842221182514244,39.59032176223591,38.26631164156926,40.93667498478878,38.42664709267976,34.9694557920979,34.481760280077545,35.49801718571303,32.73488040596755,35.10991889593419,31.210942510148083,32.2570183552537,29.237701265011147,28.516334842148144,24.65101111220539,23.78020798230481,20.387956239973004,25.7941931900375,25.521340145309747,29.653204000473078,30.319553011853536,32.87973258272516,33.20039465673961,34.235245152850844,37.607409811289564,34.8064154473036,39.06752997229091,39.67394256506104,36.90729660022434,35.13833454726071,31.058830531925537,28.611491889753356,24.358285965157904,23.019436065099995,19.401281301423644,18.873418169783786,19.170724793071415,19.155128025576797,19.706078105197214,18.652015851925196,15.383965941573114,14.451967199355764,14.863995623553787,16.077493078341256,17.75936781566326,22.417966307151936,25.46156638726551,28.013535607629006,31.621377251649104,35.65900725478752,36.97560903115789,41.01847412305741,40.616032041695355,40.6251068642989,36.52204008188556,32.2575151187333,31.508459394901802,28.491765962917146,25.61669537572915,25.454130037395505,23.216636300772073,25.77737699410763,24.269485471963062,23.577792687618622,26.5191164939546,25.65356535157528,23.90413307958095,24.18540956670717,26.203085421764264,24.17206992807233,28.045872958290428,26.435173562325545,31.518047242795763,30.767056703398033,28.936837441522464,29.675100831552587,26.846225960180938,29.65405870571211,27.75295003039489,30.408177259061794,29.595179912055812,29.080300085210222,28.405718401996857,32.09963624960815,33.3556382557546,31.742065548551498,36.35751049931705,38.045991697134916,38.530087925812694,34.56293313694121,35.57591774152437,31.396452802892007,33.75758201529289,33.81217308107594,33.82916662726008,35.07579126545543,32.046823001742325,37.72392928813222,37.27569245890941,39.179896061190256,38.00404155643675,36.04411681327637,40.53662290452639,42.51859017953972,39.327114849214865,39.79804676639976,37.47228734236779,41.57752869522598,39.327633505824394,42.64800612756379,43.36307841962888,42.963571355745124,43.44527580397417,42.30667294809317,43.573466650684004,44.96198527987677,40.69204515844417,42.96000253217561,41.46316674141012,39.64917795543318,43.48474638665513,41.41496113686477,37.63082332227016,40.11315991050582,42.85731923221095,38.64998323436061,36.60065235898414,41.182546380188114,42.36699439671869,36.98543334494599,38.76600308049515,41.78403101739705,38.447018564562896,36.31079255132938,40.70161148060053,40.359904638640955,45.316625946339244,45.33718241921821,45.22264893407384,48.402165620345016,52.76044320576722,56.47307749613592,57.610050318708666,57.144604151809894,55.55146697919502,57.13045134458254,53.73127801920862,57.52438914615712,57.463175584216515,51.15357045903919,52.665347867224696,56.34453239294575,52.8571329570927,49.82390725506058,52.069789627027994,53.22703153342462,49.40350213661165,46.583318317040664,44.778584302847804,45.37056633330661,48.79559344287353,48.71568839967636,49.45723356680223,52.17685942222678,48.2502284167992,45.67214634852303,48.52582075158794,47.59114380656273,42.77976157984236,43.679334424829555,45.52525676587758,43.105850277467326,41.44953339664124,46.4389693848035,46.22099450758345,41.95238977753962,44.68877108233232,48.63181306694006,47.97078656365368,50.26149136640409,48.60120389100686,52.49591206344385,51.964960817975964,46.419799183138686,49.25327053475513,51.599544046385944,48.75173297498003,46.522378557572665,52.40332302853089,51.966513251681114,46.57342375471999,47.94898415568666,53.06226448735793,51.50260598328303,47.53212510157209,43.18728259801333,47.08813465839604,43.16763137679415,44.53644122407009,39.181283316991106,38.86620144222047,34.79668577764603,34.323910991413435,35.28589884333352,37.934281831073875,37.5888842506246,39.29378195094539,34.335784608611355,36.14163489157997,31.399819568025027,32.81864157881755,34.015330938202034,36.6273083149622,33.06651294760074,30.70201553311046,33.60779384486774,32.719457068864294,27.715106080163423,27.984132722589617,31.14847110169887,30.291926346755385,28.369337715588276,27.479466437771023,28.782529131118196],[27.977326249389026,27.096348221668794,26.863742247232686,21.574405853728575,24.085003314282854,20.239390935873363,18.70917255775179,20.534539323013576,16.096998841151475,14.5312797905803,14.540215463569243,18.464466454644278,18.46314623540983,13.894142024338391,17.66099628119501,20.64786575731988,19.6803185988066,22.402023803772863,23.946203932765535,27.773451372077897,30.14394107581025,34.66094913174394,34.81805622806392,34.461988115930794,32.736687973554794,28.233363305929302,27.559158163808686,23.59525035191694,24.19619502078708,24.71256255494187,24.525237736814837,26.5916979504827,28.83931357374198,31.66354136075415,30.72584706226082,28.84323417553319,29.925965911445836,30.297024908783907,31.005325264114852,37.32481678894486,34.09166111081961,33.48285759847574,37.83023067808943,38.66858038001119,39.979949097452085,40.6631266257598,44.22666633798441,43.1314059845945,41.38126714399058,46.02877039925169,46.25324390971365,46.83013347317727,46.69003796804381,41.63931942038727,44.47818620322011,47.28573839586624,43.387356860726044,41.13453636982519,45.56872729713861,46.27936720055414,41.06921244533007,41.13246700428399,38.64950073131328,39.177846569327215,38.13983896789628,35.01250393181137,30.49140058533443,27.62007563818796,23.849641861198027,21.03190521858146,19.586696900225412,20.484669180189638,23.147804564687853,27.22174681701468,27.56756775149495,33.60788356850719,34.096614846291274,36.876411709140285,37.139379402984176,39.1923372275941,38.47866434058498,39.17609536770576,37.2782308394654,39.98248763174728,37.728661946562305,34.268293152706455,34.294014882868005,34.88900561277828,32.726261847333184,34.84110391321206,31.22863206205632,32.55039075058905,29.214529554144146,27.943309782002697,23.772922245568104,22.85938954704568,19.08529716367096,24.147069139358194,23.35405710612896,26.957606221850035,28.27195701568339,30.33165645739529,31.256008999769055,31.867616166254816,35.56736176113088,32.53149255097656,36.58711299227308,37.273980915941884,34.28085540411654,32.432323346731444,28.249099624647858,26.278398970763195,21.826591170815327,21.166391983877112,17.908578934903133,18.03399771425141,18.991540430292225,20.066769125788987,20.98549329566072,19.126384847883667,15.91290596918417,14.067575118782068,14.593770175465421,14.80771257515064,15.571188862456697,20.613951273273496,22.822991082621105,25.831490853965377,29.380390486866226,33.55291085153713,34.88806247798962,38.864405814757426,38.89573441506965,38.80506360517223,34.94465908448582,30.67338426205413,29.727915201616355,27.181686929690095,24.713686208397522,24.791075776723453,23.375698750290567,26.53706058158985,24.935337164213344,23.63814769979176,26.693417484189315,25.2435638323427,23.179284591758044,22.810221841247248,24.3071610607632,21.713729644463964,25.206813699380465,23.24584877687491,28.279208322758535,27.17188337934091,25.718768167898844,26.771287946008172,24.250258315495625,27.02832449299551,25.71123771502117,28.28149335855719,28.106838321593568,28.11460722319651,27.79124645277552,31.629389901455085,33.2538198677764,31.637860984861923,36.07410155619852,38.07421098630275,38.13141880086905,34.07532677191232,34.830139651312706,30.62275060163674,33.017655946918,32.7572329480819,32.65889733066628,33.50823985965587,30.5980673059282,36.144711338014986,36.11595703705038,37.78918810356733,36.980186862063405,34.40845055156533,39.13565400660062,41.3565509263725,38.30965547342247,39.20813295179525,37.24166491221562,41.494889533557405,39.54212933636854,42.455117077863285,43.07258507942863,42.29005199584399,42.57496490091233,41.13884589820542,42.13100828753253,43.30423371666924,38.85462949788014,40.80534741417473,39.0358796510617,36.9995704901098,40.60610272760796,38.32685440801332,34.621650534146525,37.10799873462394,39.60930209912073,35.25684973232581,33.427102346636275,37.86748485915683,38.76597070777553,33.38422185086207,35.24808195780677,38.11215965680171,34.62302431678872,32.63921056857666,37.084111732389744,36.93950049104715,41.72502595995538,42.19523813514063,41.9497780329509,44.972283340367646,49.44565557302598,53.04468048545337,54.30545232128509,53.7774228526372,52.32232686666403,53.95418588626205,50.62443904087875,54.58525274889703,54.48886845894849,48.22034606476145,49.873393925400926,53.69721609662131,50.20774118408199,47.24935994955861,49.70810982354202,50.92078086283163,47.01980046220681,44.447558970730626,42.235717028704606,42.849123239989495,46.12831760516394,45.722226071390274,46.446409992771976,48.94511380966042,45.102302581462936,42.569966428294265,45.13144262186506,44.13137349603653,39.386290929737704,40.1888767996734,41.82827005987529,39.32659021143057,37.712909473854126,42.66879434932363,42.30949807608934,37.99528361577789,40.83717826903359,44.779998092913594,44.26196556995176,46.629541441962,45.110416549288466,49.09766297755885,48.46657739182958,43.00969253078218,46.02693256510799,48.38049817961209,45.519349888330964,43.51424152351859,49.458801447473235,49.00903277584953,43.70357504667337,45.28573919893309,50.388155322376925,48.8363773377162,44.92557843642598,40.52041678502801,44.597929329572004,40.6906770407133,41.69169717015325,36.32994569306558,35.80083145974308,31.54782982935186,31.439854219861896,32.557288273261605,35.45834588374852,35.16496357967578,36.584597660770704,31.581925660517314,33.54143599000166,28.766839636080874,29.55516744316616,30.74771924588909,33.144360825849574,29.547077398296704,27.24224821379428,29.867245755143266,28.85111370058471,24.05804563836215,24.0553654541477,27.092789455858263,26.290776601047003,24.455817585598513,23.614203384662304,25.007622260024878],[26.667860313423397,25.753821998120205,25.69287065748654,20.337554944799482,23.48356831215044,20.35446171920753,19.479157595696616,22.10407802793242,18.115691862905347,17.02111726034992,17.78588851614986,21.722692587526858,21.433859460141484,17.0944718928789,21.344699204077603,24.101375743587422,22.636575051012915,25.5295215645073,26.634738962649795,30.48817204369644,32.743021174999605,37.152813808001106,37.14090402280639,36.375433289888925,34.72584260986649,30.28729478990253,29.703804857628988,25.82955851920082,26.982753025426398,27.738573683848518,28.21498684444583,30.071626387945923,32.6378934825739,35.480321152041256,34.23223730085748,32.10713050364588,32.96584303090919,32.90448342390989,33.1987834581443,39.39505264166233,35.90746394357016,35.749907148452586,40.16927129042877,40.61244110942034,41.74047691725153,42.047918171123044,45.71623691112736,44.939258258154666,42.851507790253294,47.43987341606146,48.08200696388218,48.69091817210469,48.84766999375802,43.74875076837,47.03031825158809,49.77899648608034,45.765003889931236,43.8865182827541,48.42668219559268,48.822920597436294,43.73838170445319,44.17349890815014,41.92999946394032,42.31813165062842,40.96353111970276,37.95276444542012,33.4932670514471,30.882587524559394,26.979858291214452,24.57175449372944,22.902522842146567,23.89268806068011,26.82646309780807,30.627124173778842,31.205530624584522,37.31682807176111,37.543401100872984,40.55059328386998,40.56816183345144,42.336862439261246,41.55162657732627,41.86134193721391,40.03314926344978,42.38961331246675,39.88468958777682,36.78626625168906,37.03572918613609,38.002218302054025,35.93753512395522,38.477581389834796,34.94447636564862,36.47281926643094,33.226080278131064,32.00234727862419,27.73250973377974,27.043542251193024,23.1579803290507,27.979308136907772,26.91024777449082,30.280160994409304,31.58183423374115,33.087494433068954,34.04952771630198,34.09013147178525,37.37917923258202,33.97236364128276,37.86754497911325,38.08342631205061,34.8077564868125,33.45910698950531,28.998177353580065,27.394216704253154,23.146516791333717,22.364165272022394,19.82169168486168,19.40988613810542,20.897522257942686,21.401282583012684,23.02511199103028,21.77702255503676,18.332878618649232,16.46410068525911,15.768358281133583,15.899658058733833,16.50495080561312,21.055787032661048,23.1745662939785,26.325604161526527,29.794131233363412,34.31879144881564,34.90990856144119,39.13280630198954,39.11967927518636,39.57513885810508,35.296027199633905,31.277954349466395,29.546605118378135,27.272359014215002,24.722317184670015,25.40526145119395,23.558150435181968,26.92789606270654,26.0220201576391,24.831825021026155,28.220713396270003,27.25822060251712,24.926708106389647,24.923750515141155,26.240501384607622,23.73869045099919,27.059599217252117,25.48658734351769,30.607666335034555,29.560104064219004,28.642601015652055,29.631740368499695,27.092139354736418,29.43238411673362,28.37909121820032,30.226923110111237,29.690822325884493,30.216636371056904,29.126270763837745,33.30875802611272,34.31291199896057,32.0009158456756,36.5598571453138,38.18484160416718,38.06501767486352,33.99008298224648,35.097037619843796,31.14119344553758,34.110945749506016,34.219061837593024,34.56394475852982,35.63372965637862,33.144447029171,38.695640259057484,38.382534301022964,39.84060279995833,38.61038397477854,35.83993198439379,40.250999806923296,42.27969900301928,39.122826311237326,40.45632079176602,38.71964702337848,42.80038605350634,40.36379040316362,43.16385786073911,43.42706614902955,42.82825137324742,42.72991572716091,41.18500433135973,42.097692432135254,42.99399464306273,38.453919458231326,40.522822889545374,38.5188512416874,36.91331284453086,40.339535928543704,38.42995033713147,34.56854499759633,36.50372885603613,39.22809762738663,35.01111539964369,32.477006101014645,36.98796359899847,38.3912446055596,32.69060915776592,34.152921338194844,37.19410567279703,33.97985580525406,31.429362904791887,35.66864257850725,35.369184504187665,40.40079084315416,40.39024036296505,40.57616000595812,43.75624855475775,48.27391762349381,51.830866222783534,53.22920060400386,53.107673027919574,51.76495328572943,53.651130327497434,50.5768633880047,54.42361717466299,53.97404502336662,47.71760435607953,49.63440753172334,53.14931074379967,49.40034457844834,46.64808016904338,49.23422369523936,49.948118450839814,45.91455907014472,43.742569240316705,41.55390710037229,42.810905528645044,46.137895076355,45.77827586503518,46.91232947471893,49.52241613431518,45.960505756898456,43.037702472712,45.5109828825539,44.92684690629482,40.09572087282857,40.42590317124168,42.27198611003988,39.890232565499765,37.83702068862905,42.7060840074833,42.52859172166855,38.06665671067615,40.498839852630994,44.48172128301659,43.775228349999885,46.35109247987781,45.000542463872605,48.838962825660836,47.87677047330519,42.362301233936435,45.51565813808518,47.5198645609318,44.482396079242264,42.58479214099917,48.46681865634452,47.620876344256956,42.26602821322625,44.05514042428184,48.97670718821895,47.08295822596728,43.11936130013058,38.62693990057568,42.36395828859901,38.261309141841906,39.47708937715616,34.16214299185268,34.14367766309158,30.038173636123204,29.331504977507862,30.63112426977623,33.36010831561592,33.42253510650582,35.293300311588524,30.678103774663626,33.05344556216395,28.511163641499337,29.320895565650147,31.0962399850162,33.58430454430268,30.50449224418089,27.583511485834936,29.975522284341597,29.529907687671603,24.875209209755447,24.176596247330227,27.67586001820139,27.425548217239058,25.973040466920665,25.469430996207866,27.170344203262662],[24.548756623397246,24.120220309639578,24.771098204601177,19.758046372406223,23.27331042159497,19.14450410508305,18.71984089735327,20.72022691959339,16.47811018928933,16.407951989798217,16.670410099228906,20.05379429918897,21.069963409402785,17.089268026339397,21.11011223091746,23.963993123613506,23.429354169492623,26.645579116141572,28.617900430660388,32.2008901666154,34.842343845865685,39.269585695671616,39.61014194699104,39.21545795360233,37.27892308931919,32.80733071955142,31.789706506732717,27.66186644764079,28.103485158125878,28.099085976949464,28.324113081681208,29.651394225096784,31.877277258562266,35.18027602595138,34.248180873462296,32.700736147238985,33.265970320886815,34.11951202716487,34.717843468160424,40.92712680531759,38.01333966925699,37.74129240247645,42.05323291447601,42.88010074080755,44.36149633994399,44.897676183693676,48.53268776497606,47.374401818695084,45.337541403754635,49.89151479068383,50.18252936809962,50.54395314152313,50.522062182477306,45.41896626351462,48.234840340014316,51.34060840956154,47.5971023786263,45.25284077290426,49.75301603254245,50.669124616014884,45.56677323010196,45.70757704534232,43.1036793674742,43.935725926684114,42.86221659664127,39.53644923110658,35.27095268690622,32.18810543466184,28.689285065991637,25.659005757031746,24.4777355460295,25.42667223824837,27.855302300175342,32.08133873100537,32.067360807574964,38.09652205907858,38.50426792451208,41.049065474201896,41.23849585308634,43.30003351917216,42.18143406108197,42.760853841400454,40.38124584531086,43.00127664664212,40.9237841990293,37.60900261401256,38.11865011353555,38.423481987859766,36.77154425337303,38.65612904886003,35.278718193775994,36.68601571095986,33.14312317195124,31.456549443460315,27.169898189641323,26.070015774641117,22.15224403330385,26.784888089767186,25.440095237912782,28.16230601971618,30.415855094373498,31.720390533178502,33.427645622167326,33.35216808699485,37.25971364948506,33.81227645385898,37.467070857242135,38.00271094852065,34.56894852869188,32.92454196826932,28.500275167088557,27.434092743250527,22.944430612248766,23.073735437014175,20.643753735415846,21.11819152972382,22.79106825764688,24.29106595066633,25.658891601679212,23.57912024265338,20.40245896309974,18.057443133736232,18.14040372974684,17.50268610357294,17.173334881263123,22.163990970318757,23.19403849807471,26.829842662510934,30.186414870404874,34.675261033149745,35.55336640513275,39.56477773954948,40.08618862466488,40.20855941982883,36.41656299962785,32.34657410074936,30.695356119027892,28.888754341776966,26.81350951745953,27.467904230021578,26.48511048561302,30.136565109912684,28.85043315891519,27.211296334253433,30.45968367114092,28.786168562069467,26.393948700747245,25.583434441649803,26.420200266444187,23.25240350160788,26.03691372871176,23.6898448801001,28.513258704229138,26.649015239345424,26.050996910020473,27.692578204180215,25.73465058764027,28.309320609276543,27.857260077692263,30.038324760757863,30.43228124947276,31.164404119406456,30.83505662314763,34.90089823605229,36.52453312887747,34.54675766196802,38.86444250230455,40.885741875904834,40.47215715474993,36.362220725100805,37.093055793001135,33.056907897569765,35.76519022395452,35.39168780192246,35.37244462349901,35.885101409630494,33.27670762649087,38.6052803357936,38.92916361944889,40.27505861976158,39.67290167513211,36.41142628506722,41.18366999147869,43.53070020354958,40.593907581019536,42.108359079205265,40.57261521698001,44.83853919501424,42.8924407574057,45.399342917697616,45.72799508747026,44.71565977753901,44.5847639127838,42.794533740202155,43.43684733303177,44.172971782840904,39.48774038392469,41.114059702665955,38.826262005974314,36.816007360244555,39.9170314478613,37.59474867903012,33.9417260789591,35.979056657360054,38.22814367041803,33.753118813245074,31.731414163291802,35.93611146437208,36.70838437261761,31.061108098560496,32.68330331023285,35.358559138280974,31.778400806971856,29.551308820017475,33.855689378238324,34.02424154264964,38.68018186402035,39.584979775604374,39.57415706760154,42.42852823080173,47.169186926797785,50.47701983970281,52.1258958685133,51.86211526466688,50.75944941865453,52.67938348868367,49.671305715584154,53.795242301014035,53.37513077747999,47.212879101621354,49.2741312716996,53.05406494886787,49.373371855327214,46.706841106264584,49.540512450367245,50.42832925144287,46.33313071733526,44.437084017722,41.70855064447645,42.82695308981728,45.91092183454652,45.052080870994956,46.0163095313812,48.20861855364828,44.69525900564196,42.02347905949517,44.01101126422867,43.15299986668818,38.517420384583815,38.82540386029119,40.17584179576726,37.58586344586873,35.77165974572373,40.55554171074169,39.98790433355745,35.4456798229988,38.2066663489457,42.17303837857956,41.83581328497131,44.54970327168845,43.46008216897013,47.4871590659968,46.386673682970525,41.078103229934555,44.53699375298599,46.5884035757065,43.55075336663493,42.05216287085276,48.01373198920025,47.17075160635051,41.9915670679378,44.091407214469,48.98015035396569,47.107793415573205,43.259032083097715,38.691114019457295,42.646145858981896,38.54993607585396,39.154446389242125,33.87765288079639,33.5559209659735,29.130345264733737,29.038725467751483,30.653806721836148,33.75792344609447,33.92521559632294,35.32929360160092,30.660596509457857,33.16831076734688,28.59111268197053,28.362341984637716,29.963497687355108,31.995629981616098,28.691555184624974,26.146843287277814,27.963464376536784,27.05797158466739,22.936960113784604,21.72588471197323,24.679753061366764,24.399054712134394,22.978154024322315,22.376195519656434,23.947171950481433],[21.735729774838283,21.129228292519038,21.878203621780134,16.895742241425207,21.15692184151211,18.2277765890578,18.692937708961164,21.742500724559584,18.38193396387356,18.775634194804436,20.092783967661116,23.49647516646442,23.885555675271743,20.306309540059463,24.96762726729008,27.429659807780272,26.221700366679464,29.742798962673078,31.306638098644918,34.77904052764434,37.401939511857314,41.61919141047807,41.87825935161494,41.00009841723199,39.00863441818971,34.66815270126386,33.59211930272165,29.561259940667853,30.643134394015778,30.887570419185177,32.17513444783642,33.10243304681548,35.862417878706296,39.203790167337615,37.73830852117749,35.868724987927834,36.02085422086969,36.34477575304415,36.37617227159792,42.34395539120157,39.24682947139511,39.648492933616865,44.00762106549967,44.34306474359596,45.69379305061458,45.741914613555494,49.5054736522571,48.66841002485955,46.12980828664849,50.54815375586193,51.3470939625965,51.66952661267185,52.060773429231475,46.90664236575019,50.284837232536965,53.38777847363017,49.567822572982834,47.699214749698605,52.35705676089938,52.92587992430848,48.060295205450664,48.76817664768385,46.47043146144558,47.28268984900344,45.707941292863346,42.43389021331001,38.42422369655665,35.59268530519934,32.07833053634219,29.53288423800589,28.197870321088722,29.513530656080594,32.10601030357737,35.97101481343832,36.05870516741199,42.24586056131247,42.120320816362934,44.96066855266403,44.70175924776419,46.31663078534296,44.98873553550069,44.98019836935189,42.63905374496893,44.73531272999596,42.36084742809881,39.586533803510996,40.498067873739245,41.27856422408445,39.88858828593392,42.39767875704462,39.22242058014488,41.07250539510481,37.63419550388284,35.964079909399764,31.475322459693288,30.85729553597915,26.72528796465447,30.902021054455805,29.164548620885885,31.61975263744094,33.63409653206108,34.106922595947594,35.778673394635234,34.87554395721214,38.128757199630186,34.21188228296652,37.591105103730506,37.46976684572691,33.70431065076323,32.775815087117316,28.064751409174054,27.522630615627044,23.447117633171757,23.44561667226694,22.06718135110444,21.95252641395037,24.331351691674588,25.381494158169616,27.657652991827035,26.162291562964636,22.788171673054737,20.320903762006115,19.03064222437823,18.127056909208136,17.485818880809013,21.611904959300535,22.379499517082962,26.11431142372987,29.269487072284804,34.147399940650956,34.02740334163904,38.29686411928177,38.798895352614224,39.62648988724909,35.372174074113865,31.71051408681907,29.046592030922632,27.72954818261951,25.72048182751321,27.15923980732528,25.922970082236535,29.889202019897656,29.43483161040059,27.801693512214456,31.408028113678444,30.260090849973572,27.523580999575135,27.121628489182633,27.65949087902924,24.71043206533011,27.21617467023426,25.597424408252365,30.47886024579172,28.99864803941572,29.09062840228494,30.413131458974355,28.35922511879627,30.216970037037314,30.103710254952805,31.21098438431814,31.139720957410628,32.6172253454108,31.349865558134383,35.813834166158664,36.69445324451425,33.885178137767355,38.223672110597946,39.83109810595203,39.08439025143771,35.00158726134804,36.092881292640804,32.4501436136512,35.845263294045935,35.903188224943214,36.46338286130601,37.2353708125031,35.26804169890117,40.536850754751256,40.47848966362503,41.48252383151385,40.353094900056284,36.79093058235194,41.099178705480895,43.19871418961873,40.180996697567046,42.32831734771545,41.192354803696226,45.21602792394614,42.75112568900456,44.973284762420725,44.82387695100415,43.96477574903951,43.30226377998331,41.33428605813941,41.816347859930886,42.15548468768437,37.38710678673791,39.106853494320724,36.52451124207385,35.09681991321549,37.928703513646205,36.14410360196284,32.32268070924523,33.60459862510004,36.153775720213254,31.943444054388564,28.984704715100538,33.26012272366091,34.7658514335733,28.775439126247658,29.843425087446082,32.79125292641338,29.690413645519566,26.7069759201613,30.71216129723332,30.58201642814262,35.58128730083998,35.74381435832686,36.25971832959622,39.33979586474211,44.065869214334334,47.36253822532305,49.111620324089365,49.357408019022685,48.364063979661296,50.58684840214059,47.91557624971892,51.84344653099916,50.97683858128695,44.86059466294253,47.23631083497385,50.59164591971626,46.60517340093148,44.21593702002938,47.19537828528932,47.45267714182624,43.218842645907216,41.8556531452988,39.15927149961888,41.099631907824275,44.21830534185984,43.451265858773674,44.961423154818746,47.33024362282683,44.2176831772839,41.0205414870742,42.934013756926134,42.68480605813086,37.9526655195078,37.63308678071333,39.34166278859566,36.99432155273913,34.56713253881089,39.204777489515976,38.98887086155788,34.340029175308004,36.448117722353345,40.43301911008626,39.763070599700406,42.68056900814347,41.76041452229936,45.535291812017356,44.05480199766016,38.677528574484775,42.236701497777574,43.83542516224046,40.60288954648632,39.20610600648488,45.044873345419184,43.730805778464685,38.509948487425866,40.834902462851595,45.477936753306466,43.21450795347304,39.31934396610605,34.67827172390944,38.22405604840106,33.93178432078419,34.80213530659159,29.59668849402534,29.897555260420507,25.730904269720334,24.861747130500227,26.667895543990465,29.540476176430165,30.138715564083974,32.07485916412075,27.96525749655101,30.977246446191014,26.7968719502519,26.63082648916445,28.99379064509221,31.17012219006034,28.68129155356227,25.29881379909744,26.861389365422234,26.862574006878468,22.933990725752903,20.954053164190967,24.617570849268404,25.103913212827702,24.268978714639427,24.201145409376792,26.238269282906867],[16.55817737582014,16.388833698619866,18.083473954172653,13.844013928885131,18.858406532712404,15.73019087600088,17.426976363033937,20.357418301991025,17.717592142336517,19.51286155991053,21.0598736296761,23.70928005930062,24.88495897469964,22.18105288771337,26.893074279260194,29.03397725122013,28.31756534209104,32.330351886626886,34.53710314058502,37.546261975813614,40.593145487640285,44.61859919223965,45.26692618578355,44.500083581418785,42.104032609587016,37.86920606582497,36.23303532936932,32.05584486428369,32.77849627198518,32.36928155400938,34.23148078926635,34.2229347724095,37.02091204888163,40.827252930301256,39.2625263771753,37.80112636108512,37.2861586221223,38.228771501031346,38.19141335221595,43.90318328755155,41.41370258409416,42.16627932651418,46.3787136963834,46.81812985671893,48.51666541812533,48.511164722283866,52.29505308099323,51.194715220993075,48.38171404443937,52.618996704350415,53.3262820934729,53.30331510844488,53.77607254819458,48.628327670186266,51.83553554143739,55.346021197358375,51.83389274337248,49.786135294704465,54.48313543015802,55.41491945299506,50.756740089829975,51.57210332005153,49.11704740445765,50.46864102635132,48.811959364092495,45.21298927464294,41.71078968384288,38.55384802561528,35.56119377004381,32.75613999994321,31.8781896818763,33.51095426437198,35.593537180301865,39.57309536364219,39.02404822457919,45.19661422408587,44.77744386358528,47.31025719987497,46.84694053412546,48.404496151048384,46.52504049601564,46.360075602712364,43.44446177637692,45.4101695106588,43.34867183622199,40.770651976131,42.27989302144819,42.665848038083574,41.98726414649445,44.250884225724775,41.482194076378605,43.59575230294558,39.97301362924634,37.83841944818362,33.24263459104519,32.681962959209145,28.445555005685627,31.862313012861687,29.555836629388022,31.04207085486728,33.75605449715784,33.31314696706958,35.713716470079255,34.059323987480994,37.44038779415546,33.22777145359093,36.05339925585496,35.848396384729256,31.754151027814135,31.002786712917718,26.275582243363786,26.761392185313664,22.898431368334013,23.84732481482293,23.390252364515437,23.85664745065936,26.796326787099506,28.6589740696559,31.201681402657204,29.20345741056691,26.067317284148263,23.10907529228631,21.834400878050257,20.019589311191822,18.223059118089427,21.970689432334108,21.20574822869411,25.406524224741855,28.16988087865452,33.122014328255375,32.701338502351966,36.784477569404196,37.913185228322405,38.77730780517231,34.90105890211508,31.53341039398097,28.417317752697933,28.02461860555695,26.71879839567169,28.539021216457545,28.245672984522773,32.62893526402354,32.2197298491818,30.092946925459614,33.676743804026515,32.08663244080973,29.12414134081983,28.11630444929779,27.882090647928482,24.490092688919063,26.06963524049569,24.269046162556982,28.686128565857462,26.765935871105267,27.771458668790622,29.416993096744896,27.96355878247036,29.419124400242154,30.227963148086403,30.845544171744347,31.501133685678486,33.70306570346421,32.70257174977989,37.1957374647351,38.3076754464442,35.44944839362806,39.409428936703584,41.244582765016666,39.93565703231392,35.907479824322955,36.7144113523238,33.30077916360816,36.73739965536836,36.509647966705636,37.03851114850325,37.34224599519377,35.76637581079899,40.62935216502063,41.00671045356525,41.612679361125444,40.859065907100565,36.579131828173814,40.91204027858611,43.19522058137106,40.44316611496195,43.19412348308536,42.59223458085662,46.624157415393796,44.4650665175208,46.10072974196621,45.73769244194619,44.46377636510213,43.44073540964862,41.091122979295534,41.1318788535,41.03148223841447,36.1201638654266,37.31524720790416,34.25790113281246,32.723933540709396,34.948423590088574,33.0509109320449,29.43841371544628,30.339045630459058,32.473458824135506,28.19780135392258,25.317109802076093,29.201784916436534,30.42018455106312,24.350297843988617,25.260254345230216,27.93960733009858,24.759699073259302,21.708592755134486,25.618514785238077,25.834852355693098,30.578958061205615,31.38185978377263,31.897565705247978,34.71579012092691,39.644320105937865,42.67270147025602,44.71150132908792,45.057341545260655,44.38104557319617,46.79400556545888,44.41183477926587,48.50279637128777,47.421985232718306,41.48521480006192,44.18629295807911,47.57748606001438,43.53851075164882,41.42630157451264,44.75059706562427,44.87328306824719,40.53931882469083,39.81592678055377,36.518503192019175,38.75135472682986,41.56405465082676,40.2867541964536,41.936543292879115,43.93498714432953,41.17767288792976,37.94661703926726,39.251372500086134,39.11993784365621,34.594346535925816,33.825251427146576,35.22646848563026,32.85861316630799,30.29019377371163,34.698424769148865,34.32669007020798,29.572298453441086,31.57372456479003,35.531551797540985,35.03484361717754,38.19030148727456,37.650504248338095,41.44833146608222,39.61744893523518,34.45827826371596,38.380698027101836,39.772173952465465,36.463101360196184,35.58398966127648,41.395288410385405,39.86972886344408,34.876357951634084,37.65138629180896,42.09332602632517,39.70752351146201,35.96642110691531,31.263266312073,34.882598615127755,30.597749917516204,30.816203519157266,25.735601698126505,25.918592238527008,21.562623543420102,21.11650517918093,23.362575856796912,26.551987541086255,27.45811001005807,29.02387878554921,25.263062384630892,28.663210552401733,24.823871388973345,23.41995903422389,26.04071467538038,27.73910147184137,25.672953526329852,22.1939167478542,22.849990456280686,23.035084282232933,20.005909976175218,16.903492359140703,20.4307929787854,21.482953027047177,21.226217023804484,21.541378752061213,23.80051723836288],[17.76429538591678,18.37875408858186,20.81313590675365,17.136969712950652,21.905118964973507,17.615504332335792,19.24679169861326,21.13227816009299,18.043361145387248,20.30974371154576,21.009984676255982,23.130880114317552,25.460714734069303,22.817709410197647,26.95244556499844,29.31436779422995,29.4266873748943,33.35529469160512,36.08213274079327,39.07374576582593,42.243523481256645,46.40474669330566,47.198308252169014,46.82241819604805,44.39479454687884,40.06649611542369,38.346355135044696,34.03642065361612,34.12858982924867,33.23310144228134,34.3401819081956,34.263234364102345,36.50879054363044,40.5281411426753,39.47671855599107,38.51669991275697,38.08752049548372,39.7674487591353,40.17522718026524,46.008234944366585,43.855118628443876,44.18170078060466,48.3225223008493,49.18492593690121,51.07196247311957,51.41111224863523,55.11842934932883,53.71731482191739,51.198507407191,55.49916244475359,55.79646106939661,55.69207309379702,55.85903561758651,50.7471675926475,53.41950548896707,57.090451192721126,53.742267037786206,51.224859633449235,55.79820507931998,57.15297073834862,52.35010490428513,52.69384732103718,49.90433509155107,51.42496764950579,50.204450663773656,46.47458827228482,42.87341414933546,39.413184221830036,36.56350777887106,33.26713433651595,32.62999450381344,33.937850084198075,35.77760293530354,40.11976154624493,39.32191465483247,45.30299949829712,45.33317495432612,47.450313330698094,47.36097100548941,49.324213790192324,47.41172773858701,47.71727543692437,44.4956257854003,46.87474910021192,45.208311422624895,42.24587564949105,43.654702776895064,43.437132624433836,42.81828100185053,44.36040965548361,41.565697309003866,43.3023334848094,39.50047797780457,37.13191172637863,32.7283284995569,31.635553501147708,27.61845276244622,31.07563034129709,28.821148513637002,29.851784572274177,33.417107031718615,33.21976794209858,36.168169871118536,34.843048837607135,38.92971170120515,34.94701426406028,37.69001902367162,38.00189321873755,33.981126709056525,32.718941536254455,28.22141128785549,28.84492419456446,24.708497774722098,26.217492789028093,25.292143089946922,26.393877188550736,29.005412638878557,31.358504851309657,33.31849146264985,30.77848985312513,27.832713131949266,24.835794122198642,24.50169805515296,22.637876908352812,20.68201722062445,24.996748979498463,23.791011057022427,28.15883725749461,30.90367153285582,35.60106362912154,35.79440619399526,39.58882274334003,41.05123087193961,41.40135856075121,38.044893660251844,34.49075639983814,31.90072710236554,31.511748843241463,30.363685827407075,31.780035799801897,31.853259461040846,36.15676271696427,35.216599891053434,32.96829399080851,36.319488934281146,34.19485047124062,31.403992833113634,29.8323744397375,29.49283375727201,25.641905176960524,26.920555994272135,24.1969464951009,28.200969362821922,25.28901992623279,26.36922905582424,28.751288095004288,27.869457444831212,29.80426734658092,30.87790110868839,32.220139769325904,33.64434389488854,35.559192621039564,35.38762104669184,39.612686103037554,41.35536453525508,39.03261408551933,42.896492625898844,45.07242477090943,43.81236389475621,39.76405837438018,40.25257728180063,36.62920299888493,39.60703644066112,38.93830138562666,38.986718378996606,38.84127924156352,36.88766896707013,41.60028444327879,42.55433702596391,43.26145731427829,43.12599804880249,38.7436248348025,43.47421918804134,46.03685802147097,43.44903131232292,45.973049456621105,45.2602180893668,49.48885143233236,47.78377762531697,49.44777227375671,49.339985619524725,47.81276636021448,47.0203327538936,44.63650724721782,44.60059420049347,44.57027966604839,39.648120599004,40.514205491891246,37.405613004221856,35.37891815737611,37.40600015484216,34.991752557000446,31.68346901706243,32.91335867924325,34.47448284501845,29.940794454785372,27.91827311522415,31.381309417985587,31.69657558182573,25.905081761261098,27.1024829708201,29.210274969130364,25.517731989872907,23.113990245208196,27.036737703720654,27.904076690494314,32.01957175176493,33.996882609712095,34.21204832975507,36.57461904204758,41.68606086225982,44.39419665904532,46.678751693058636,46.764065066329145,46.312650877590244,48.65298042601852,46.25315765413751,50.621186591717716,49.71082537699904,43.905675304776224,46.60392480335094,50.31862413324217,46.46831922973108,44.36233588125328,47.79515352879927,48.24857689825336,43.95470296437843,43.267298179389705,39.607395503564184,41.41839825740446,43.99859504532814,42.2821047485285,43.57370148905545,45.10719404462001,42.27773531024196,39.50102573771256,40.35064493716315,39.738885398080306,35.49589845783198,34.92375286469619,35.65161955506161,32.99409511948207,30.92219095682039,35.2085396144102,34.26028653580354,29.471432278110917,32.03369903953074,35.921227338316406,35.9680088241311,39.20437435296185,38.91563721751379,42.93969730396553,41.0767749058423,36.22748329037742,40.38124985225705,41.91923876648941,38.700372552823914,38.19842061814386,44.03479753760022,42.63871291469212,37.89596714189505,40.842341089479966,45.25766853887204,43.001732750771275,39.42910766383391,34.76545250626039,38.56185018357376,34.39234500673442,34.00207710156062,29.095133148903187,28.876781515896162,24.280826146150215,24.623981419036337,27.03917103663519,30.486438190099214,31.34749843456184,32.36855436435453,28.47717337956367,31.721619561550224,27.781262759566445,25.545480123304692,27.664335246533827,28.82751755687843,26.284707505303622,23.575179381989937,23.65836513192291,22.99902153337608,20.635017759448775,17.231112925675003,19.68138523671985,20.482629790100393,20.110981299331876,20.1254000319884,22.02972459627541],[11.933045067049212,12.804911659931403,15.912918797054436,13.287228435585721,18.32937631332546,14.543330894761228,17.33458548396085,19.375669085050465,17.56356166463408,20.776808654644352,22.140870456341624,23.67995428695761,25.974693388934103,24.285690705702827,28.625246706444074,30.435382298320345,30.52571242405368,34.8654931908159,37.85687437912403,40.34592634511309,43.819660886641394,47.65765944802689,48.759579481646355,48.293539806090756,45.49935350003287,41.384003377878415,39.188702711146526,34.89816011896694,34.986537547397305,33.75188218185053,35.86903704776012,34.88607298192826,37.46802867348115,41.73966161590912,40.27666496695262,39.44234410393226,38.300121190018984,40.14575587893342,40.240875623196914,45.65960717660511,43.9736294167911,44.85552150133911,48.83194286531771,49.57211152170597,51.697059513800326,51.81928371263263,55.550364311925584,54.03409178119777,51.13007925016079,55.17780366242045,55.56729736058,55.159866392714534,55.55505572318212,50.48862654013457,53.23551460826944,57.193577043859825,54.10393362021939,51.687775875833445,56.32169773004912,57.79970568668302,53.33568869090942,54.06030052027071,51.3385685952733,53.30309973192584,51.74711123318688,47.80149722353641,44.82444898253195,41.271914337026914,38.90940277778156,35.7336563245288,35.409931118064605,37.240476493611666,38.684617704793915,42.82918686521462,41.548577601552985,47.552463114516335,46.980409172269574,49.01561469743572,48.47695497792692,50.10873180518961,47.67922042345895,47.556693499752164,43.977540943979676,45.96329130565127,44.430768738475905,41.915352080570344,43.9508801529332,43.684568378892635,43.762163713468986,45.47536375359698,43.1654991032024,45.402518361733826,41.59714776000201,38.95535461091585,34.4211237587271,33.79559029220029,29.655381516398464,32.170501291642715,29.370845555613933,29.630799255445375,33.27290217662023,31.977316702577493,35.280717629930024,33.04262864649519,36.79829322791335,32.51339958472884,34.67578491424019,34.679125665587385,30.412776476553287,29.565251470229057,25.12141008611401,26.689935274844604,23.095758549073587,25.197541272096842,25.40699186786928,26.681189025409918,29.864597294771833,32.66110315319981,35.1272351645898,32.46976698454215,29.720855514277325,26.40572926270121,25.60888424746261,23.075058245219083,20.309431510991438,23.743700480597532,21.316160410891218,25.825539933871244,28.08015773695631,32.788855487500264,32.4768627668213,36.094232197442686,38.00179895606547,38.562307448793206,35.45280616619166,32.34537880190251,29.2463994677387,29.728315241639326,29.2201895178053,31.071631179136006,31.87267907628736,36.490611876551924,35.83125621787112,33.22742601769593,36.5812387941248,34.34623142331338,31.33877715228601,29.52416075766882,28.4977676584406,24.616459146904536,25.030679269936492,22.737546710175398,26.289634766099795,23.608561008353455,25.61551973709423,27.78788199537635,27.23632462123434,28.400389531416955,30.235735487986638,30.654482103915544,32.381441611863785,35.084045790775185,34.780373039179686,39.05481279609952,40.705091512289165,38.176544298214964,41.638186983334684,43.87701886208068,42.09534919524919,38.18700272025303,38.49900158440827,35.253239316488354,38.37685671195462,37.639183859943415,37.8804175353972,37.49867695145285,36.18132549716516,40.46260709926526,41.5284446668204,41.774792602901336,41.714606576448666,36.77212283189565,41.25420054203851,43.833766857212574,41.4820045268726,44.63330408292117,44.49948716818554,48.58770094150327,47.0160693489305,48.07985063559938,47.6793113949658,45.86710418004443,44.67245830155303,41.98506596236726,41.56517952354223,41.11717308331491,36.1687231639305,36.62543542518719,33.17247548218046,31.226640793692575,32.7129577454015,30.40261974294156,27.27297350866341,28.034555175564854,29.34431176617446,24.914888123351737,22.824551818499256,25.952814118373677,26.247424767645487,20.40827381382503,21.414459482262163,23.413498335350337,19.820322631415117,17.278640979570614,21.153237158236337,22.13648720548909,26.132478215302868,28.373628192831855,28.536254156427823,30.771750829170408,35.93479840744512,38.556552416342946,40.926266141383216,41.1144783899888,40.83100746384791,43.31944152552142,41.17865754102336,45.557957619885606,44.43618636788126,38.79297268279025,41.73168970631694,45.354640634609765,41.463986023357336,39.604796886416494,43.25726307972345,43.53319882080149,39.21303965782478,39.05182152215255,35.01735170510843,37.16083677152508,39.49638554675574,37.492292897588875,39.02464006182066,40.39146768253026,37.9540825443446,34.992630016955914,35.449582540405665,35.1626484104228,31.048139056707882,29.973568122843673,30.68888226265281,28.171708482172242,25.773100462472765,29.865505155060085,29.042079866916403,24.20472808526151,26.435445095249243,30.316281923088763,30.295022577799422,33.66091604349216,33.59246571007987,37.527560251879486,35.42657366792061,30.693588753186194,35.02719285191718,36.36594564121087,33.11147196426258,32.92468307390127,38.670498795786216,37.14772905624139,32.59060765245757,35.79039185156662,40.020411924101026,37.736727733331385,34.3108546158773,29.698080826758705,33.559613477401214,29.541792827838577,28.69283983451232,23.939857686072067,23.52978022572906,18.920687824181684,19.682366293396665,22.275030440914453,25.870149209719237,26.87971646664478,27.574943922334118,24.116425990678163,27.624732885906006,24.18229072980907,21.06594453091773,23.520810949325732,24.36301463635046,22.551629816182913,19.53382398673982,18.84455539773361,18.766674681864124,17.262409832167624,12.869355653639909,15.51829819550919,17.10771193376727,17.51959782640783,18.17295195833966,20.49101565165339],[14.985865023927104,16.418196209376454,20.01978027167013,17.615818603910224,22.802915717019197,19.06943370254963,21.71398301402646,23.575956557109212,21.37350177919386,24.386071233905607,25.341991894613393,26.934893717371395,29.551142858198364,27.478490054536557,31.63493325022487,33.73127353832311,33.96425367839084,38.12053401909883,41.01606313271947,43.76579557385979,47.09979134479264,51.10911970684419,52.053091808234754,51.60721204111388,49.004143329872925,44.77719090955171,42.81129623734919,38.500536505312944,38.56495352107259,37.396677373824446,38.9625859355446,38.31053676889792,40.60378218977173,44.85272066423957,43.68872150168716,42.91654611263337,42.04561782346861,43.942947519473876,44.180116628499924,49.75240960366519,47.899502515329715,48.56697462603339,52.61739213139534,53.404933076676045,55.415929243263925,55.58927225313725,59.32504755378418,57.89154068636775,55.1076434702061,59.24368204641888,59.63122917190422,59.32232066754563,59.64242675357807,54.557849110261245,57.244590226937895,61.12917601690646,57.95259356606678,55.46030756738356,60.061217841492315,61.53155563552814,56.91185320142261,57.42389095958154,54.622692714844185,56.39566116978891,55.04781870981663,51.19100180973068,47.88760489069701,44.34959838626297,41.72831950902015,38.429999814447726,37.93904619433085,39.39266993519706,41.07595322889088,45.39560788098117,44.35184280627126,50.307656392324,50.123160214107756,52.10815001319423,51.84381161652321,53.68490913736742,51.43220318566897,51.52485222672022,47.990429100159965,50.14649945648498,48.628840772573746,45.944627494944925,47.76738573081388,47.41811981200339,47.25477812143924,48.744570993499764,46.226649476383585,48.134402974157865,44.27951322999072,41.687413406864444,37.27448131872657,36.26396878613549,32.260466074139806,35.1638179169853,32.563922320764476,32.81820926300629,36.800053533727024,35.81478534907254,39.23245301010238,37.23709795911472,41.186912361224856,36.9682955037311,39.13307259101298,39.19654982304051,34.92502672537031,34.04443642905914,29.63942610008694,31.151974673749145,27.43860279635396,29.431575283221427,29.271443042563824,30.468272168503418,33.43931835273669,35.96722520073073,38.23342843994617,35.65596704528269,32.782877885367135,29.625233289417064,28.986273418938886,26.76268344476455,24.302224481719527,27.98964096523616,25.814192417112235,30.31506249547093,32.615664184366956,37.3296837089275,36.98308259852702,40.61253358084146,42.51638181752792,43.10686889039422,39.952641876215864,36.8118808475271,33.67938635199191,34.048440921413594,33.34941805951532,35.164078218300595,35.597914712760016,40.12000219879654,39.45631230101375,37.022477731190264,40.416323186576626,38.23988835415469,35.30002413297374,33.544024627985515,32.698052444930006,28.750506944537943,29.26310773044162,26.636626766759708,30.05146881472605,26.82717973920011,28.796224119989805,31.35927586827601,30.968501757079967,32.43019984511519,34.18297507210964,34.94425471411182,36.69688666450389,39.18159217190394,38.921831920921555,43.20330771024553,44.84200352408361,42.268843724559865,45.87647334375232,48.011139602656996,46.33274461883693,42.39376953972906,42.82969343389372,39.535818614730374,42.68958218400957,41.98154304896906,42.15786788875583,41.77271304467273,40.24950593912688,44.596119559975534,45.746981826036276,46.10032776597805,46.08338919796928,41.22571980531841,45.7576655844036,48.3318360413732,45.93538908202114,48.98884854456603,48.71165657120627,52.83283579308376,51.159205427862595,52.3841995617504,51.99278515436468,50.278354678159694,49.08908247119656,46.42724901457213,46.02684724459105,45.52854789484439,40.57587699187005,41.036325280138016,37.49745408520359,35.64401133320568,36.93758655685496,34.656594311116656,31.630680902975023,32.16711497777503,33.31621221940261,28.9665263900814,26.814987660063515,29.661398698013517,29.83287170467159,24.08756948163191,24.77795695544153,26.45638037470126,22.94133804113601,20.294661212389418,23.665653954188976,24.9788575738032,28.656128059836078,31.18502276036155,31.693297110398227,33.71270544840292,38.984224007188345,41.23722164815457,43.947842299037454,44.38451124352557,44.3817789680403,47.01612860093106,45.10031751333405,49.50124897833222,48.211083598484116,42.73068866331697,45.82715171023356,49.349936169103394,45.39438976119256,43.71922541914726,47.4631752088745,47.52223395737626,43.16151213703178,43.29516263328672,39.199078887988044,41.534571956572236,43.78202676500418,41.62658993652252,43.19764920153362,44.35178760835521,42.06315847166878,39.182187076405135,39.31648046451299,38.998848158503506,35.08675078564792,33.857197655342816,34.248227774759094,31.681734200958747,29.37016237515881,33.154664627818924,32.05300660936799,27.209250990799983,29.386104098564502,33.12710051119474,33.36349342130231,36.93835713666154,37.22152868657593,41.10334258317728,38.68922796483397,34.23286429009924,38.76505335056301,39.837011411514474,36.51718071548631,36.69720931811314,42.302849322484406,40.46793124451176,36.09686413262929,39.56131212361721,43.5394464583041,40.987928563623115,37.65355470702727,33.02904110083046,36.51987575252512,32.3576580255149,31.362964677969266,26.89380906429597,26.92011515259461,22.486541443148436,22.923518970271108,25.81293722285872,29.2735251411318,30.6394970560946,31.507456022853216,28.375724303631156,32.01170675202851,28.677184536033767,25.428974147060025,27.90175137531959,28.52206388558447,26.73870156788846,23.918399546206935,22.843521264892402,22.60143214877415,21.5382148765027,16.94153753906211,18.929842001064046,20.557009895000128,20.978157328824192,21.43206870801403,23.4228863601246],[11.83654004895453,13.589443551506221,17.841566875445675,16.606812078854265,21.98486162792065,19.448616253579768,22.837832621273705,25.089470493853163,23.821900386575038,27.124936669183768,28.633498937078848,30.0797537277997,32.33397305887387,30.703771989337525,35.11682420743733,36.883412991191655,36.831320881301956,41.19557066073728,44.00086700499187,46.51915882239998,49.93536547138078,53.722533466110804,54.74439856656158,54.07023088009896,51.32133112782647,47.25687899952062,45.10966536613241,40.889597019095824,41.20317025907287,40.03764459002939,42.35146696543768,41.26087048760189,43.87842266841884,48.193248981738876,46.663761566192164,45.79916326210412,44.51444379155887,46.22981166907042,46.1106202037194,51.35465167707686,49.63524042646491,50.794404521644424,54.771362155629916,55.29773359537269,57.33332510027915,57.208452020557736,60.98071708215471,59.64998645800477,56.51242273108821,60.44227986638381,61.09038411219225,60.63599810451549,61.234131845848204,56.18376062109399,59.12942862310348,63.10762977895709,60.020889488118875,57.788650621352154,62.458507612481746,63.82066692645634,59.45707941499359,60.3534617530918,57.715579605153756,59.6368909804083,57.95949207444926,54.057603863367696,51.09096444352393,47.63246451573447,45.16830920700036,42.099296870241176,41.64135455515261,43.397126099314484,45.03188883123064,49.15078832873474,47.99543366241725,54.02492174843983,53.408179640653636,55.48868848649216,54.872076678692075,56.39113367038289,53.864906799111964,53.533668845700866,49.905670874523054,51.64617024190832,50.071652767998074,47.83437454674248,50.05397819143396,49.89392114234224,50.094540743261526,51.907697787764185,49.6483041862605,51.90916961384246,48.104544501070826,45.448766335866246,40.92428297037592,40.268324933789046,36.151106665982304,38.59522601090403,35.70910303124908,35.62299610892354,39.42722934129979,37.69048511817444,41.16134452609998,38.4618451309008,41.88493611944586,37.40083330075694,39.08602110080202,38.66587134672629,34.20109489229258,33.93020153217378,29.5771857530921,31.754283480230132,28.604825166896674,30.716401930086878,31.393073921458832,32.4027395174522,35.76616677435413,38.25071020214665,40.99176539756417,38.6091986477655,35.75375877678988,32.497918376019,31.26992947851223,28.79201271756799,26.029628595046265,28.8611674107159,26.09027592222561,30.504764698743674,32.37003222958527,37.132874268244144,36.02269929826669,39.58605217729347,41.69941648641889,42.73842524810854,39.56454115184014,36.9257604588804,33.14220785817149,34.18818836792034,33.852013059077805,36.13358218132809,36.76672821422726,41.450834452993504,41.237566548914586,38.70730031281608,42.1857045945974,40.20757209619031,37.10205994633273,35.45470244213714,34.245650295065516,30.49781601639057,30.529190621077557,28.5020012685716,31.63073104859159,28.805107590829483,31.35449167024573,33.60851541793829,33.29259663871822,34.1132960050468,36.25477534891696,36.17074291929056,37.811774944874365,40.88465831148524,40.188342946227245,44.58411417127837,45.84334235612148,42.864083594778805,46.227550438468114,48.167995103128604,46.10464063162819,42.32656691244306,42.83232259001193,39.970474341776146,43.42881829921345,42.89009190533243,43.398682893719005,43.03119975886785,42.07333956011643,46.15354508212978,47.168616135241066,47.16537761084079,46.948873991734715,41.77979926437592,45.89732387211547,48.32371054110615,46.04588614780234,49.64133370182374,49.80552232288985,53.71066635852476,51.88598114178496,52.68626879209593,51.93362685276243,50.17346933025355,48.539572825558324,45.67117086012576,44.981090329734684,44.03747347838568,39.12547714962071,39.36486417099599,35.50726799353206,34.08359756608886,34.79736672178365,32.94894135809757,30.0640802811311,29.777995926251386,30.84522035419381,26.88302692361133,24.175253666833918,26.61192568552928,27.19039117262083,21.415253913878228,21.41236706868678,23.01301916042975,20.0732958061355,16.781415304658744,19.535093924521775,20.870988315971452,24.500332787363085,26.83807037113233,27.78684290763964,29.745183793440837,35.033609821650536,37.08075846151763,40.009598939839414,40.901495879639086,41.160171608016555,44.08364896593712,42.614459178455704,46.86017203462914,45.14677153407731,39.917249562114996,43.345850655178715,46.500658872972025,42.38025119234578,41.10006177663309,45.036005204188875,44.58044985445786,40.173876601652104,41.03181691125055,36.76031586475656,39.75649782094266,41.80607133897183,39.519988181281825,41.526003357219956,42.612187535629026,40.85415940439694,37.647551830571444,37.42019792492696,37.65655652584904,33.90644946717429,31.995513260521122,32.50592212262093,30.242980603613326,27.43207702372677,30.793519422462502,29.960392110007284,25.164161415751177,26.563158645810212,30.184863668810326,30.223489669378107,34.02439843428309,34.65940462886255,38.24619995711654,35.37471310104638,31.117479600959598,35.820552789974656,36.38017948345019,32.935494377646364,33.53031766004793,38.87283092533752,36.58406225025917,32.44693833401256,36.270970781879285,39.840809010259115,36.975969809342104,33.798454387653976,29.234934038965758,32.34242781753837,28.180567126398138,26.8925435866129,22.795342168624614,23.253177123358775,19.195726303219573,19.33353516028155,22.550851970183235,25.846260871774962,27.68184391267382,28.632057860228766,26.350094695461475,30.343330648859265,27.692723647255125,24.01326153246385,27.008908034873276,27.4324919290897,26.628948218939513,23.364467392835213,21.61214197591676,22.27182066951839,21.958652947249167,16.735603769616805,18.90731889181095,21.317708521397574,22.399055120769855,23.349318305438334,25.55989461949315],[6.610596476557889,8.821489175669951,13.65294110425342,13.965888553950595,18.82174561011228,16.948780384251357,20.91749735719038,23.01719679475963,22.84528614333978,26.626988788296913,28.509230604708705,29.447072667242306,31.58569940247447,30.776280506913118,35.158746988270394,36.43719236850872,36.43062969834859,41.015661738460295,44.06789527496379,46.08863014213997,49.74035704074786,53.20207666932423,54.52504462788186,53.86762554572185,50.80553242925119,46.98022948337208,44.42871709959039,40.29905663715988,40.50698114704781,39.04188034725248,42.09224840250106,40.281593419963286,43.112984828292184,47.548817877796736,45.71144430860009,44.99400923654044,43.148036958353316,45.032700557937986,44.712706183713586,49.519141582043126,48.29649428092512,49.84218909196498,53.59869752764297,54.09067725681281,56.36136650493947,56.13490117625823,59.863992585186764,58.36219186914859,54.99339192645474,58.66671773283411,59.28738746164146,58.55831878045991,59.29043704026613,54.352934775007135,57.23907596366493,61.440279850003556,58.644645592793964,56.45865612130552,61.10994034888418,62.6265824692691,58.58967998455241,59.755145336135676,57.17183107376117,59.49532354270655,57.58399229052204,53.51713195248135,51.1433127742241,47.61356076586187,45.645402660532156,42.67774783507065,42.539199005252364,44.71846432687364,45.93126870997914,49.851485305637354,48.24640918817423,54.206463515478944,53.08887271603875,55.04712551954772,54.06557228683648,55.3055596935652,52.37214918156364,51.72419197883508,47.83552574891958,49.24968878776222,47.860503417312586,45.99754306999172,48.69292672993349,48.443053337250774,49.234700766968736,51.1259471901878,49.31444710101214,51.96824218067369,48.21076278738018,45.367857493408344,40.82173003104471,40.57405909504135,36.44673613332567,38.07573810107196,34.8491602905079,34.20466259700204,37.888859998099235,35.33174748542622,38.97111145850725,35.624808326116465,38.70850372759226,34.13412169557491,35.27777504157988,34.66948373160407,30.154803588146738,30.190952309706763,26.111029210499595,28.995447238557063,26.450913239075636,28.997288391591873,30.49644378208536,31.710429272941663,35.36509136307892,38.27703162429225,41.268422816634256,38.72711563987092,36.15123484483542,32.720091653661555,31.34289615916582,28.408990027063048,25.141777613913597,27.17168447149788,23.47737719632716,27.7586921965772,29.109211122674434,33.65190561522275,32.28099112338,35.533904583817,38.0307446088004,39.105501465284554,36.32553666603215,34.09739466201169,30.163004860486897,31.898921751126764,32.1653256563276,34.6186764501171,35.98181326249236,40.78329006503873,40.653422349803165,37.84738794052691,41.174855282397516,39.048772552217876,35.88699736879558,34.013515113654975,32.27988232074658,28.65433378026132,27.96504742914024,26.4048138503143,29.01134414095876,26.626824210889545,29.732062191470114,31.6544528858863,31.589117095855737,31.75763890477227,34.42952789415224,33.63749279082142,35.54947270790895,39.14193094003245,38.494666585237546,42.76302552938135,44.05426518524054,41.1258222239656,44.033840234024304,46.11063629323523,43.66102179834342,40.077090816505034,40.312096835517124,37.78453250187087,41.158626476968955,40.48851384148523,41.072381032669725,40.47000468410555,40.0311454781823,43.64857212249205,44.77363399025405,44.40036152693852,44.32986243561343,38.80846920789439,42.68254501331554,45.12851945923997,43.12900681615177,47.12456344734213,47.752668663867325,51.50967830394184,49.954889369387935,50.23823614109992,49.337322090213945,47.28402297860038,45.42365301016746,42.35393404203231,41.348623078778694,40.124626571011575,35.292200223382736,35.10697892711841,31.067705557682654,29.627641510909832,29.858429916180008,28.061431901297492,25.459115940917542,24.849837364675107,25.592014832221494,21.7975389290278,19.27786407004465,21.270689963152545,21.716439639788323,16.078126561265876,15.943077032611656,17.39250034344137,14.566431835180246,11.235389151496756,14.04162929401053,15.53496614582321,19.013098861304773,21.781294241931597,22.412213363448974,24.227398794316166,29.538057347337066,31.620392938724237,34.498367583003024,35.2966826206873,35.60704828264328,38.55597608808826,37.2190551871096,41.47597285249484,39.70926596754566,34.62106098489712,38.1489887803626,41.307467737194266,37.26517498524212,36.13126377954926,40.188933590842595,39.76975478876496,35.42277339307404,36.590881560246764,32.01690822220497,35.08103568423784,36.87232982183356,34.35538453336072,36.467301488860905,37.408933293184056,35.954605349681295,32.68151936104108,32.1612651784339,32.64291390511168,29.063110482218423,26.799159286953298,27.32665631249957,25.254915392876136,22.2074464549708,25.379045115319393,24.742020304060652,20.012745863229785,21.068420845127722,24.690512368614662,24.615624677398504,28.435135566839765,29.164839902160963,32.68538319260567,29.750121804852476,25.576504764656157,30.356558167415365,30.873653752306065,27.47047173012931,28.280200619033693,33.550965941994995,31.355353066794024,27.40238588690217,31.327455331554216,34.816198749054166,32.131895113356094,29.121246139184596,24.697566492543498,28.082815860746557,24.262991678401235,22.422923315045615,18.47270015842209,18.38050848933608,14.35901471513352,15.33128267197856,18.503810377560143,21.94826939311097,23.682931931875743,24.06318740997659,22.163841663219543,26.154316445665877,24.04371569426981,19.637265145895178,22.725299652337757,22.811988458099883,22.743793650049653,19.418803816376958,17.004815161596508,18.26404878399907,18.79199259409809,13.348466224362868,15.432166003143465,18.307499553359428,19.988019751416854,21.405360464056145,23.813334642479557],[9.46362844883098,10.857444062761054,15.14776284838689,15.247551333078201,20.421454554130094,19.60230457614336,23.470522040412146,26.222306166262225,25.929627588706516,29.248271876526164,31.380637725353452,32.80235452447583,34.38790382641385,33.19657536506144,37.87105115576819,39.248147546394826,38.74655186731304,43.2520328222358,45.83404805038734,48.074015195584224,51.510921223383335,54.99511760952852,56.06851745741389,55.105001893072114,52.231586125890296,48.41149563288876,46.11609520757317,42.08812241939152,42.76103578490002,41.72723560247669,44.896500983845044,43.43399353811801,46.47395354559616,50.73923792496418,48.73990426455194,47.665923903503334,45.98626923677759,47.318046168258086,46.75078952625451,51.56625634627779,49.93345260771615,51.66021392467982,55.52808729671239,55.69894075799579,57.71034339318999,57.2217017696341,61.006271341405245,59.84052488736324,56.31419204246824,59.98038181099324,60.97024635571471,60.39179263264946,61.33330630411254,56.3578693210291,59.65903999871654,63.65441780253368,60.645974743211305,58.802250066397946,63.531982587263585,64.67509601669441,60.639129666645346,62.021612301766474,59.64635208087131,61.669360263549834,59.57420752117499,55.68830836780779,53.123390262600324,49.84160278034756,47.55170331958021,44.844537043709636,44.39432775080932,46.512921732029405,48.102837165764086,51.90249184901996,50.68420693000355,56.77812026415833,55.62451287665656,57.88645199933867,56.832558676796985,57.91845401882515,55.16372158808801,54.30414089815688,50.71633926623018,51.925045041247294,50.20650446360261,48.530614765895315,51.12766955165656,51.30896767980169,51.83921180221734,54.13524525883994,52.150634221487444,54.83429316126454,51.155481074775814,48.52676695920027,43.891613843695545,43.71337841722264,39.47958529199042,41.47558933326662,38.37121807907737,38.16590582561483,41.46239630396442,39.03347837293587,42.2986828656626,38.91851616013003,41.56237340123313,36.85292460757903,38.081574862015316,37.03613933647543,32.46605262917798,32.959007137853646,28.717701873288483,31.415485541376324,28.99125374600403,31.00904407279066,32.574412700485176,33.263716353543124,36.981317874362176,39.31624796608832,42.57087722528398,40.50017098207492,37.7033001552802,34.42898243496232,32.52619835216227,29.87151179358202,26.946219270387523,28.688783516302124,25.534347292013944,29.63250887558549,31.002113769927785,35.75404840572072,33.737877564340316,37.2461849972178,39.428519634586344,41.03647394322515,37.760667796396525,35.73055103612558,31.268467088771487,32.984592238822096,33.018733375034955,35.780929253832156,36.57470812409602,41.32947635011605,41.65433980646085,39.089057953883895,42.611566833618845,40.96786044771054,37.73490484698485,36.349571227593984,34.8528957182486,31.52311968989174,31.208377034955575,30.0623664145558,33.01480052199383,30.984696568725774,33.86949716370687,35.55163758263715,35.10786197278967,35.204939683582204,37.55476596507499,36.493592338850796,37.77988154678408,41.42328249984047,40.132613985955544,44.61014303066898,45.3401175777304,41.909755599946415,44.97154527381807,46.626996026111904,44.188098553142616,40.64742467516817,41.26946448054602,38.94956808533065,42.73771045161771,42.47813919805425,43.421378320140285,43.20316117657959,42.896295734143514,46.71235921163064,47.41104603410263,47.04362647671176,46.46574849074698,41.11663133441396,44.648743517320966,46.81839103502306,44.65039842650744,48.78110977270557,49.40748640560595,53.001024807876284,50.96126981666861,51.312465400459594,50.15769640311107,48.42549394263218,46.31716957878757,43.291339007580675,42.34285748817395,40.953099952792,36.16214346801476,36.27080856379782,32.181379889881356,31.38645813892164,31.58945132689675,30.411896483389107,27.61815247703137,26.381878880186694,27.59317002989009,24.239535183197965,20.667827219662936,22.794524006135667,24.234123951769593,18.488183389461998,17.589063480217124,19.4134480902713,17.502335193747957,13.284354354437543,15.235804451810171,16.11675041466814,20.071187697169368,21.483911459286077,23.01730953874787,25.160064772671344,30.322373191401397,32.37130260477878,35.32547753567952,36.74528556294904,37.10806827755453,40.295877783765356,39.24345310324826,43.181509778701134,41.03003445018015,36.01153224037532,39.713166227290046,42.37051454032231,38.05126483009505,37.152623301070385,41.19306698513358,40.137872957163374,35.70784070772661,37.24927739088828,32.9851432628428,36.73301037167182,38.653497810332865,36.461438877416185,38.99270867707059,40.21914608938624,38.98784896878381,35.34071355552165,35.007879150072796,35.9641580756115,32.297619257161415,29.727127382663046,30.686322860722374,28.904978942115275,25.475937204107694,28.438636646396226,28.211223141552903,23.648676116340578,23.9619647300905,27.431636989485156,26.94552153962979,30.82626855545273,31.618544724208625,34.77131136784576,31.549652486414697,27.358861295722726,32.03573539056312,32.04551505872523,28.47069114930046,29.274790293423273,34.30807957920189,31.55796097579914,27.554986973940245,31.629578566932636,34.80208514313242,31.610584152743975,28.52795419562094,24.03725219513911,26.7102453940955,22.53317598418827,21.15863181161325,17.383175543518735,18.477098586354895,15.082511495669527,14.537369821407815,17.995845752520427,20.957855158124726,23.28112055753543,24.463297435277358,23.207105838778347,27.49676821930284,25.679470335007455,21.997012730303418,25.568629533764597,26.017631147628624,26.340365932970656,22.515196879847995,20.48292606538335,22.305470566550092,22.362567696998465,17.12647785412377,19.764975940172437,22.71667740094338,24.280278969436754,25.66199682286876,28.082084020715076],[9.397902886029476,11.06323132426485,15.491773534906335,17.07757813836976,21.61223603679954,21.510539751588443,25.653828517918456,28.208431075875783,28.580482998100145,32.15715884456548,34.41832451003021,35.49071974264648,37.096725493083554,36.36793108995014,40.96659805159106,42.080415258538004,41.642011089302564,46.242409302200805,48.942112122466135,50.897121287463904,54.44668162402687,57.722878068555694,58.95456032227092,57.970054822225386,54.93937302390097,51.286119938736334,48.779564032629864,44.84012595520353,45.4611107000329,44.2438458035608,47.79562431650733,45.89897321179675,48.99995673700641,53.34757259889358,51.208265726604,50.26126547892975,48.231950455789686,49.67636764336645,48.96516982144117,53.435537409219364,52.12930257500892,54.12933611914521,57.84001490852765,57.95275345103649,60.07810571024636,59.4738916998879,63.21710857044979,61.99523524853151,58.293526316287284,61.738119427756686,62.767274380772854,61.99904606015598,63.06590501790752,58.196564118729334,61.47045638216673,65.60212815994971,62.79755120539139,61.01438958565714,65.71511723987498,66.9440555920273,63.141518527127495,64.69425094432782,62.356926034467975,64.6098369252488,62.38463346684429,58.41788599500178,56.199316575457814,52.88955380251109,50.869240688340795,48.21104378938749,47.92080536292688,50.21453542118552,51.60284963668888,55.31057577176591,53.85663125945793,59.886144226712936,58.47406023214795,60.63342863667029,59.37917904756495,60.296145241661286,57.27653143822,56.203096273043606,52.440328042443355,53.394050316581286,51.82072598775452,50.444907187191156,53.357304141495156,53.46603781020708,54.38436839816348,56.68160409988107,54.9770211722191,57.84952824237876,54.19019625118882,51.4371686885727,46.828779999304174,46.815931111647316,42.61957726037339,44.14575873874688,40.85676781210798,40.19811037231649,43.52401214971245,40.535842177621255,43.96183273572127,40.12129080133109,42.46120206518896,37.72460186997976,38.41122884692734,37.138554786698556,32.577710869821736,33.439041221404146,29.541831710442903,32.79819668819345,30.893415701414146,33.15736194002386,35.239557049868665,36.011765552173,39.87119092333998,42.378289415746735,45.77977919589156,43.66180349938846,41.018665368029026,37.68203460623351,35.68618615609985,32.83458302768863,29.680892442876278,30.84004228546527,27.124688716834555,30.99428154652987,31.877000692906968,36.37349416303856,33.968119139549806,37.14810584857722,39.64228124102718,41.39915575984533,38.448461920542236,36.87698755304077,32.217729135034865,34.51473268271597,34.97688583914285,37.89325386565807,39.06927669582321,43.85378128431171,44.32205649285796,41.633744509921236,45.056962036967754,43.37797569520375,40.13066205952474,38.637343379802815,36.801566246942045,33.59622064285267,32.746777848831314,31.883596683873847,34.317790917310376,32.441069888849604,35.74974910750283,37.31670689038599,37.14169170244541,36.81047662617913,39.54490731805264,37.99623471612927,39.45616306958329,43.452073650853514,42.147139905248,46.518068214681634,47.17834795368242,43.70364854544413,46.40622001346909,48.04228952793892,45.28820374072331,41.96960532005434,42.4604714898973,40.50467389137561,44.27010397046491,43.96873337775968,44.99852603722825,44.61031392085737,44.702744248044034,48.123724573440754,48.91360027205205,48.24618589673881,47.758010002324355,42.172854433285686,45.39874954877146,47.51454395322149,45.590777618892716,50.07006144275179,51.07329264005594,54.497305342783164,52.58613437953216,52.514694803621154,51.160825976957284,49.264992240578756,46.878425916926176,43.68983706345041,42.43228093868496,40.67049067204052,36.04962543139429,35.75287994708675,31.457620287796985,30.891957106951473,30.381949785862766,29.477692905368034,27.11214977817512,25.21275436484867,25.994200656567855,23.162898843391947,19.644578147522022,20.891549858780674,22.322102813845337,17.14983625861079,15.558373554023262,16.85476970741739,15.721713834962099,11.465760555906133,12.138284079310367,13.29479556083559,16.613914706192247,18.341002467503664,20.14152123230874,21.90294584707021,27.02704463271412,28.69879055143874,31.91247080373683,33.652990942396016,34.36426554747418,37.748406364891615,37.16279409506036,40.98497007620708,38.52745206871604,33.93371376031588,37.88422007430564,40.27548129868743,35.97623243456038,35.503837900467694,39.70101071696643,38.337748471787286,33.99383874329671,36.24232927646406,31.73236518022044,35.8208924804785,37.37383772130546,34.910532727683936,37.664465093576524,38.606833415793965,37.91812094115041,34.23073427804119,33.35636011581511,34.67821268845069,31.416232102954755,28.318298723009985,29.124472096952417,27.655545693347822,24.050564577550443,26.3448605998393,26.248372014540866,22.008675084309306,21.573967100149417,24.71371181381572,24.19573241934396,28.208923433116507,29.44295889011142,32.27524770593264,28.647025182294993,24.944146785127035,29.740108058406257,29.271170626972037,25.71151249987182,27.131765639575143,31.746190365498034,28.671690167587784,25.183260039743622,29.595077795396662,32.25207381163444,28.919092633506597,26.199101985155732,22.00123014530432,24.32197637987229,20.4718768106347,18.33116139989929,15.390189401521619,16.59799775113537,13.984947810549007,13.713290024804508,17.19782775749017,19.879108758712913,22.480174089217442,23.298984921396542,22.988741617691204,27.281600792044614,26.22480897499615,22.010587797551494,25.63385235477382,25.64031476477929,26.771294919742807,23.076960535757813,20.335645258368,22.627137986460582,23.605281146552883,18.291196974217446,20.426737827345875,23.734846166744415,25.745838207855204,27.36595163923171,29.731142901154108],[8.835160697603392,9.213858098726723,12.67545217632481,14.241654216040953,18.612241394514662,19.488690679432555,23.53065958362289,26.563232273255274,27.186960436573262,30.42846684779306,33.046799127253664,34.36512121199841,35.31990534938524,34.63234579491624,39.40564815394665,40.36497385130455,39.50838348936172,44.08052693883055,46.4951276231527,48.38029545784522,51.83716806364811,54.97389977157687,56.14181884382828,54.97124958358124,51.96151120129731,48.434010473898255,45.96753238512416,42.17625591440714,43.10539946509951,42.15752382449076,46.09042140745326,44.25525174906853,47.64217012112408,51.81447788203134,49.396404276561036,48.17290577231063,46.11608559822381,47.123462769064375,46.16526064093134,50.49497960665888,49.03885706791005,51.26908236561901,54.96394639236199,54.843235239288276,56.863282736539084,56.077401816424754,59.82466219264139,58.76153069293829,54.92313008586723,58.29316704113011,59.53599428433253,58.81908079351526,60.05096809880645,55.20246256539222,58.75846993090611,62.760695900847104,59.88796052751596,58.38827700749222,63.12166355367684,64.10004191330624,60.42116777473649,62.235168274060904,60.10823453736079,62.26672013675728,59.80820167551205,55.942098906038545,53.84361830688326,50.72780076196683,48.7071849430699,46.342499449855,45.97464819943432,48.444289946148935,49.883702083397715,53.34446197599952,51.999981666447674,58.07330828756833,56.39898883525626,58.775666410305234,57.30940423970408,57.97919665442262,55.009851586132086,53.67117496407085,50.14150153873683,50.84483421987388,49.0409831990677,47.90621532257481,50.84510342266344,51.306066684359855,52.180188807162644,54.875360342901935,53.203338914894715,56.275999396419806,52.750771775752234,50.15603755026022,45.48315104794043,45.77117256086545,41.49910253626713,42.99653892304572,39.73797932823935,39.4381341137991,42.17286367645529,39.154889343834235,42.15042540864524,38.20893123477082,40.0747072564467,35.258793956858106,36.04884693925258,34.45027134332256,29.89503435622221,31.083703814510457,27.088234822205884,30.187388935845494,28.541075401943754,30.453981559546936,32.8222418345133,33.27573410292891,37.22933623257081,39.501000513796086,43.14037557581466,41.306410535522964,38.67504030349411,35.424206960375784,33.035727131702124,30.230793792590635,27.19692400248065,27.843445430681545,24.374268744112797,27.999998190453354,28.834010682930376,33.42994723589853,30.643870864751,34.015310882501765,36.240466461151385,38.31225715424135,35.0439446592833,33.62694605411369,28.687466441188906,31.03379131889635,31.49406106131987,34.59561366364591,35.668588883835554,40.410163624455954,41.15122132711354,38.54371816747225,41.99777785978279,40.62111467893197,37.34590367517611,36.17412913026986,34.4130466078479,31.560467356207692,30.920027965854125,30.636744179308707,33.366840317185805,32.184978683741086,35.240926116760384,36.322991307190335,35.75522082070714,35.17739681461,37.665069196278424,35.719643054138466,36.68490923532417,40.796032598743274,39.04984632827866,43.489143801815736,43.78924683202665,40.075507108135504,42.75263857414489,44.196485847996364,41.41413579661606,38.1565966933653,38.8011372049531,37.02308034187801,40.99096296884857,40.94782164282922,42.25090622010402,42.14827301273504,42.45613216100211,45.94986234185157,46.36041808206716,45.655343743976175,44.78454694044616,39.339704606347574,42.287501748116036,44.21135883426649,42.19819372528929,46.76741521338667,47.83311584270404,51.10737190216312,48.976323380105704,48.86931146796811,47.385149912841555,45.64138510454945,43.14413324988686,39.9992187861457,38.8100297242966,37.043125759686205,32.431227910034785,32.394803590783425,28.172708476087283,27.96292357251781,27.73657760744264,27.225016011901044,24.55859749613014,22.483990052444383,23.89125935454926,21.225746010161192,16.88666703298348,18.740486344379168,21.12994794473149,15.639008845712622,13.915568786143984,16.123386348560167,15.418823515793598,10.59155299436423,11.703255834158059,11.662152598967914,16.164353080082318,16.234490141654984,18.21500479899527,20.692868579172412,25.614194901664483,27.889729488656112,30.640402361504677,32.4118435894466,32.713366420384574,36.04915647097646,35.27728272455332,38.89151703874367,36.43180852137605,31.56115048005478,35.415607517549276,37.64384430118697,33.18805150906158,32.57041162433611,36.64261930521312,35.13730835038372,30.721176907248218,32.781599195019496,28.579364697324998,32.917148954548274,34.7281229038202,32.7185233476855,35.682456386937325,37.1155973427356,36.30487415564456,32.291072274466394,32.01337457800963,33.61309697027354,30.023644972447695,26.981501831215056,28.4812484787955,27.213377490168483,23.30749255173031,25.939573087724984,26.411486993418265,22.25547003507494,21.564958531781407,24.84426377035112,23.720856469931515,27.47606437119175,28.216720177477175,30.934292779335713,27.588635977751398,23.369719807440287,27.84399952402563,27.4530716844046,23.807001881077085,24.613970722730883,29.383682622032318,26.35344381473575,22.38089581629126,26.564853329505333,29.473402454770913,26.104208248836187,23.055134095046892,18.636958969840343,21.08958617593171,16.97284145688328,15.558404608664523,11.929148255500845,13.546659585145843,11.041515149427822,9.800272358687774,13.314451307372062,15.91522960728669,18.577574492986997,19.87862726671821,19.63734644261581,24.043669302092848,23.09703450314649,19.614742196321792,23.563545169508792,24.09635938232433,25.43437147774196,21.247014512103718,19.217882916678555,22.03291767498398,22.28090258012909,17.525424560131786,20.487055785693197,23.668783007137034,25.509905902304013,27.18701143343532,29.725000671757535],[5.414014198712298,5.5010925927565495,9.534101567674323,10.853748545926177,15.384351656426865,15.551802564056938,19.67361614513551,22.507527389151026,23.153036797281068,26.576144692186976,29.126134641052847,30.28238157024119,31.41450398729349,30.893211982631346,35.55709256659718,36.47068582648414,35.831971175429196,40.45572257123242,43.127019130985836,44.920115563128775,48.50048630576476,51.66232732879332,52.96357992507634,51.988965563525866,48.87148141490564,45.30144781476919,42.69704157448721,38.81275009632888,39.49099548485009,38.343925381605075,42.21177276024744,40.254541135341434,43.57327844504869,47.805569276635936,45.45718212302885,44.37712706007189,42.28229574197146,43.55951163043888,42.76744336837393,47.19370073038778,45.90707842919328,47.97404179544143,51.646337123015854,51.73956957860496,53.910130700617636,53.326735403556064,57.05980690202975,55.77916919145889,52.0772176069491,55.52700595268336,56.51844100390889,55.75675691547675,56.825586010917036,51.9538613989732,55.28412332296866,59.382187876062716,56.577706468864406,54.85976928648133,59.568190926522625,60.74589523468477,57.01057631019896,58.67540409081339,56.426474805242165,58.72468166669565,56.38060180680085,52.412497045318474,50.37856378407102,47.12334298026618,45.261288492019894,42.76083193951193,42.558396446225956,45.085104890163656,46.316435941884016,49.831967639946434,48.29238099094751,54.31462525819732,52.664903030554306,54.91107871334074,53.496477986437306,54.27081078424118,51.25132211285389,50.06692646162907,46.40998234168147,47.29253615698109,45.62407043932934,44.301939236979045,47.23769879189422,47.49169164609014,48.434862018716,50.94779971937921,49.326454869995295,52.38858757434395,48.8315318572464,46.15680510231545,41.508613687187825,41.799104324284485,37.55887960198895,38.91172179260504,35.61539156550297,35.249150110197256,38.064689204024454,35.093086225494396,38.197796956791926,34.36785073128267,36.549596970585704,31.77688509244814,32.73203748643975,31.458305158947706,26.88018611876758,27.676014353962586,23.58701277209655,26.653407819255648,24.798260053895184,26.96996148295149,29.247689063111935,29.99628398883788,33.92422417986313,36.55981856849264,40.031626928617236,37.91170201267546,35.39253345333349,32.03691566140404,29.946755121208543,26.96084544632323,23.71510840032612,24.628318161241157,20.9037389981153,24.7638174104416,25.76061319791849,30.378161355458502,28.146205847569696,31.522709881659658,33.84822753311028,35.51489144176164,32.42189506020059,30.69072876082966,26.125911018953865,28.32149972534076,28.82997150820923,31.702388090974033,33.10075431672066,37.90711857628154,38.30206420546884,35.53469647508639,38.904196361684804,37.22580684500745,33.9733995720982,32.536394537738616,30.701236660749707,27.66366711452217,26.964222963220625,26.49788556559665,29.257792693734864,28.04017477623773,31.049901516540416,32.16004620550351,31.647733282409803,31.159725338380955,33.7111423397515,31.980487916759635,33.242719515873006,37.268577190608575,35.902011632861296,40.265658622479066,40.954206501218565,37.58232500037634,40.278348505725376,42.04907172765943,39.35204849977486,35.96114941994324,36.367068982105785,34.305433289420016,38.028854237417605,37.735017918690076,38.80739258042149,38.54052139990478,38.680268323346766,42.193676809028744,42.799161166325405,42.17690645920282,41.567494285272694,36.05994846663291,39.346980575977774,41.483331681785664,39.47999139781873,43.866465081049796,44.82257567875507,48.27542004959714,46.4307452457745,46.40975576731494,45.17183079878468,43.247988418777354,41.02171051648665,37.890148508587096,36.78274165944148,35.29676139556526,30.53732342549486,30.47344069157955,26.347343804841135,25.555486315903888,25.72637653318074,24.66636556882542,21.847059941651537,20.513470946172607,21.890166647182674,18.60469400673408,14.799666948237896,17.170095632349767,19.017868150776778,13.07977750209898,12.253304995249252,14.708632545762066,13.023597577044889,8.473028674549493,11.205843424523952,11.38981113688185,16.087709740955056,17.010308804311933,18.020760185156288,20.552002477714886,25.629166349990346,28.250288376705928,30.730280383813557,31.845457726989327,31.860858550875914,34.92197861278888,33.66389303632491,37.56971052792225,35.55394825923331,30.336939245180172,33.94477885701403,36.69776820895986,32.41432257953117,31.36251239761418,35.38385896391701,34.53683489976685,30.116528580058688,31.49764913242366,27.15480424865841,30.85458955995112,32.79135769469238,30.713762711373008,33.32395672960124,34.78513348559213,33.54297618728212,29.71114041587947,29.660994279161596,30.841898708344743,27.025799559148197,24.401541464084392,25.85489828940183,24.30025670341342,20.58553599091855,23.787471319507848,24.080345851898173,19.66055047513114,19.708001404842634,23.330145889040356,22.367264338968457,25.999922236476547,26.38326235241576,29.54128530772564,26.64574268526973,22.045529804273553,26.540886769129397,26.819823388667157,23.26538014573374,23.666303894131406,28.920979395152674,26.53660222951109,22.246861904329972,26.11533846130528,29.621913949350105,26.7784184247861,23.560101420488465,19.013468946498136,22.383193158055914,18.4589521012327,17.070276194125444,12.727508990330298,13.04252474045866,9.301830081253472,9.430252001715804,12.697860134719107,16.013295416570926,17.950360354347,18.75143090423984,17.448869368881446,21.731280299929853,20.213524130947114,16.419917614380264,20.182235006176718,20.77485059692124,21.641197620898073,17.509841046616017,15.625638949897931,18.176719656620637,18.213110667428197,13.453162769263642,16.606137680494996,19.64095729138721,21.38217809051203,23.053303699463207,25.65378402271202],[7.926444040730738,7.82870018558208,11.143102567823002,10.85942755889452,16.036379182695654,15.947171330391551,19.754494130153383,22.952024715879016,22.97755843262353,26.032780015492463,28.550647258200787,30.144734752622327,31.101530900350046,30.062576325141546,34.889307307439466,36.056812722691554,35.202970006672764,39.72385485233268,42.1341146020633,44.23685652066659,47.65021087264981,50.985185704117285,52.06967601848112,50.99441573285693,48.0719348550326,44.37118171547567,42.03050137385258,38.113729955238476,39.00208071729624,38.15038261109166,41.7415315359531,40.246449256237916,43.570662962119215,47.68794175028014,45.40692120939024,44.11328799170532,42.35315469977732,43.35329345881044,42.58659663516212,47.27741207140769,45.58747257677111,47.50938620447952,51.34265120275618,51.36021947793063,53.342821150247886,52.74486060614893,56.529331841744025,55.42323746280983,51.796058305542026,55.405192695359574,56.507967039489564,55.9455879096066,56.996844183434796,52.03912697264011,55.53354657830553,59.4526141126819,56.42062250137245,54.7794212663524,59.53405812694693,60.51501295263096,56.601727718670965,58.211294479852356,56.00392961454065,58.01763428907547,55.710740410733344,51.870361631962616,49.49250963331973,46.34491600104414,44.149358069002595,41.69532534541455,41.252600915510115,43.613953188360064,45.144804432701264,48.70123739837653,47.4827107250786,53.60310333246629,52.151551249052076,54.57709800270863,53.29954351352738,54.15560597339693,51.40237079989539,50.312689343502306,46.89458109742052,47.89999570419733,46.012331463768156,44.52805289823542,47.181787749596786,47.635695340165896,48.187646786328465,50.82679737798127,48.92670037228724,51.84327035071846,48.29151220023099,45.779733998681515,41.083501783088025,41.25006382565238,36.94636204108853,38.79983624164045,35.69071804671716,35.797330747418364,38.50085312514428,36.012517020659345,38.883758757434535,35.413020952446345,37.67847305364627,32.9093494949955,34.28485197724192,33.03853570151627,28.48262447748136,29.153155150373554,24.79175536987996,27.320336586713736,25.091786799629215,26.858919816814538,28.725781489681328,29.208244468047567,33.0460781620723,35.31619368964975,38.77968507891946,36.872726092460255,34.141124946846524,30.89043230386824,28.672083844491873,25.953455565011744,23.031073032870776,24.328479327664958,21.30959715008499,25.25958590731345,26.643726372032706,31.494298016566205,29.322221768587706,33.00505888727637,34.96488403608513,36.72009018099915,33.21433583725282,31.221759748880356,26.627315279339935,28.33892689729081,28.403269579824318,31.276459808523736,32.13106340434202,36.895016638279365,37.36318940123937,34.79199990904034,38.3156099402327,36.850522364526796,33.58616687868848,32.416168703469864,30.94431293785021,27.911457823813823,27.768262409302594,27.180520096855933,30.41880556689855,29.128355102941942,31.758454147847058,32.92190366332742,32.104430975687045,31.94646555272442,34.08952184267067,32.66936855456877,33.574784074335,37.32945407957655,35.73695775917785,40.256087579900225,40.779286622075794,37.24277911687572,40.271971317341546,41.87672063453343,39.426439020488296,35.89556464104969,36.564433599162996,34.31610442576183,38.211749986179164,38.1076953699181,39.24122925339015,39.23792899088587,39.111836667268996,42.98370638795599,43.379333124166365,42.98653962306959,42.13310452933803,36.88682157989759,40.26136069171089,42.32275859997318,40.08283035969619,44.248428235334806,44.91761571671718,48.42700950890457,46.29463356556478,46.618406172668294,45.425894420796766,43.757861135889286,41.64134343140444,38.66018144349517,37.80344592517112,36.51798529652513,31.69588791021529,32.03912087834283,28.082535635087083,27.403686269264423,28.029649003088085,27.02732690256157,23.911009298253894,22.818021007250785,24.588891235944715,21.205057657284055,17.130880141384285,19.98958669736254,22.075946779578302,15.998942248050389,15.343837481443604,17.98963087764697,16.188794540658034,11.716330639275748,14.45894606654086,14.433031710947152,19.307985577000604,19.632784997359835,20.920047675721968,23.656860229295365,28.638991800250857,31.324143901707238,33.75066995422932,34.949882180261085,34.83856520724457,37.86207041668785,36.472957273974956,40.30221599347602,38.32255712967305,32.960279181814634,36.45565461660677,39.143258256039104,34.77744979330067,33.585997677153856,37.46691864146697,36.54453031751172,32.0800886740341,33.1668627744377,29.16491787546575,32.87163382296426,35.06775068466502,33.287085456447194,35.87327658320572,37.56165219449083,36.08045764162903,32.20733879444736,32.514244728450564,33.59112414415819,29.563717053845078,27.206724494013685,28.796426676082103,27.13510220763192,23.513262334778123,26.938477947887268,27.192996562000506,22.680779415392365,22.96355603044823,26.62929417565838,25.650171050718253,29.220715630172297,29.435480390263802,32.60832043944332,29.825278085298937,25.085541761977527,29.425092406001816,29.74925743177992,26.173423985542275,26.266580671829093,31.567761829746566,29.13351962015984,24.63350971106092,28.32352901174487,31.925438867790255,28.947538284864393,25.546167603356537,20.88386408794522,24.008337889215046,19.757734175625462,19.051837422870335,14.511021978639063,15.398726747886462,11.71635738106338,10.812422270054308,14.048619999888885,17.17828308630959,19.192331519103384,20.615581328504764,18.970242109035663,23.27743222459376,21.32811569159981,18.30662759743014,22.093172574563752,23.080269399467916,23.44674728120156,19.1668870720908,17.937822684327077,20.177064559759742,19.414700449297865,14.820183567004394,18.352794129458367,21.108505233328486,22.48043646018037,23.934609635274576,26.55660805119641],[7.668495072307523,7.926942274179412,11.379756460329258,9.950919664066014,15.386474879342188,13.786245558519768,17.444540297293017,20.31976829251357,19.83864388350696,23.053670745958726,25.27447051040986,26.81414396671315,28.20363334832317,27.035559099344002,31.736182526012367,33.070135364669746,32.54635771804875,37.0659600430524,39.74126465050114,41.931267080333235,45.41904649744065,48.917432756436774,50.0562563464713,49.21818712311913,46.28489103257644,42.435345611630474,40.07772746896094,35.998896264021226,36.57942150266411,35.5455880908119,38.726280344897646,37.3213597156072,40.4342609868564,44.63188687058269,42.59289223021022,41.471622904356266,39.86317678128563,41.20185850011768,40.73567322584908,45.690450212850536,44.052775056020344,45.6266956327689,49.5072516300283,49.805474951210186,51.88585104079222,51.562834575107196,55.33739270298804,54.03688239058754,50.65444255379757,54.42764593072605,55.241784577300805,54.70687422897015,55.51546056099078,50.505115248006156,53.71714706562793,57.69055403765579,54.65819044527477,52.716328388818546,57.44067839258481,58.63427406427515,54.534993664597614,55.8472688704174,53.44729012299096,55.50043267714728,53.43819057706226,49.52123324300209,46.98876022300323,43.66763896742982,41.4712263093354,38.75985354469779,38.40567906779053,40.65407297301927,42.094256612661226,45.844697713685335,44.53599277509519,50.62602269819435,49.423235587040644,51.701782863067635,50.64456262746127,51.7575449921482,49.06951731248275,48.304838264315244,44.78368895582193,46.136641226126066,44.39134465593731,42.538627634536105,45.02562785844688,45.20539063741198,45.649854085868796,47.97587949177721,45.973358570211175,48.70850907219237,45.06456771216129,42.4801554640272,37.816136768099575,37.7718909291739,33.50112820927406,35.49043144563821,32.431909373318845,32.55809175126998,35.56453248908174,33.4104433820843,36.461158515515244,33.36155326200122,36.18647830226511,31.546865350210844,33.224181886241524,32.46113738840993,27.962283819744354,28.03407241580175,23.569602971878986,25.816112639323364,23.06910162975745,25.049143437000968,26.422653999363146,27.24162333110138,30.921846126556357,33.487840686121785,36.63316981296034,34.40345244999501,31.685306342318874,28.349384941953616,26.61060836948244,23.844036724395902,20.839925523119668,22.89884544712999,19.931075905771404,24.20037286012969,25.931267978943502,30.78220499333722,29.362451483511283,33.04033633787409,35.024811290270065,36.286091020092385,32.94574659308491,30.49249761199402,26.45885071165462,27.74390386642316,27.644712637971736,30.153669611649466,31.108245687064894,35.88436016244958,35.90641565944112,33.252840342975816,36.722301273702385,34.920764603423024,31.713461116900167,30.255411349891084,28.87419378463138,25.49586668551613,25.49677576994609,24.349372824638642,27.72847345866821,26.028292688527966,28.494981270211884,29.953268483916737,29.219939654571316,29.465431174928884,31.56033965088806,30.734307622949046,31.990315169929232,35.4332328879301,34.33748805187025,38.78597988106727,39.77560466741838,36.63761197086775,39.81669988043382,41.72646351867787,39.4983064510394,35.79550709582641,36.27939184200047,33.62145103479757,37.223880940144845,36.84609465871886,37.64400423255699,37.47389841547945,36.944118508132604,40.960381054288895,41.61931308234984,41.43883888985835,40.9041909589577,35.70149918483433,39.53738611008184,41.83265137883049,39.555077501144815,43.372447073381196,43.7704131511242,47.52290131916707,45.6457855555164,46.217618290663516,45.33965985017378,43.56405679670903,41.80902009750508,38.913429926011226,38.21380062151466,37.27315362331754,32.35507116004394,32.72339681422204,28.94825481683435,27.676110689349834,28.70022301258396,27.102110426517434,23.919691080559353,23.666146456584773,25.271116401450758,21.339852586780246,18.100933079509836,21.195670568255952,22.513625481725406,16.362560881720704,16.558047201410343,19.026837206727574,16.316239473212278,12.612264880245068,16.165259225024567,16.58526977741284,21.16258551498729,22.39711224709298,23.051499637162472,25.613853485764203,30.70190340246899,33.445790245591176,35.79418164046424,36.48967678639827,36.25247330434697,39.032208956176895,37.26935201612331,41.3632885395957,39.77821281676163,34.23183814235711,37.48354551505405,40.6223371227978,36.4596447939717,34.93330349126538,38.73201899873934,38.38248366522228,33.96524332170394,34.45977712933766,30.39658884628592,33.41412092988332,35.69251892321747,33.81074920137558,35.96432073636779,37.55952637186913,35.65043192734703,32.105403336614685,32.521850302491416,33.05008065653391,28.9100499261236,27.072784322249788,28.373157380092238,26.345726458424277,23.147208312450058,26.97069171964173,26.827024317222342,22.101165048809996,23.232075575095923,27.07718506770729,26.457624177696673,29.940547484852924,29.971362805013193,33.52017482638182,31.07272320826733,26.234262661950773,30.587757838597902,31.425503531997688,27.981367388829806,27.88497325804689,33.46115893951582,31.49898143579123,26.913306288462636,30.357319983954095,34.31902515694454,31.713207560707183,28.27531186294884,23.615805310365822,27.214782605923947,23.114922090847042,22.331504066079447,17.597177734656352,17.682364000553164,13.369502444670207,13.485964171560497,16.371932728799546,19.835937649620085,21.289581269943216,22.30776596650015,19.718977188279442,23.734781745031423,21.08702628921173,17.904871424079854,21.235747147307674,22.209599103346026,21.727501470082515,17.79093534261564,16.776159871087508,18.223594339079344,17.123869985005392,12.43124456280949,15.921121717902299,18.354250419261195,19.438701242544674,20.700019025086267,23.306979999516663],[12.262287070000529,13.070820814501,16.462278912045285,14.25429939537125,19.84034934256162,17.67006791656664,20.77189165410527,23.59421361885695,22.136547800083253,24.949724112862896,26.73607769113093,28.66450338727024,30.284544812876526,28.36232935743749,33.03673004530139,34.836436714014916,34.33617251865372,38.63341182012899,41.09057870898836,43.74434961351562,47.00849033117775,50.80535004552858,51.66498643454333,50.81378210337274,48.181963788193414,44.117434852947,42.14407072518174,37.99475537757791,38.64364865948501,37.84597232302534,40.29629147676215,39.519902979474175,42.37646902427767,46.49063741214804,44.77660422058243,43.57610864618735,42.46476677309536,43.70845252120274,43.44038260476031,48.7541887150381,46.70247722813418,47.92190320140164,51.985126297020386,52.320052390369774,54.186082107214084,53.94857126528615,57.753048420573684,56.61239925213025,53.43858431812822,57.42002850987184,58.25634997652444,57.95045619616532,58.640193234759955,53.551377416823094,56.77675536871051,60.56656431708823,57.30170134026002,55.30190015150018,60.02586768876762,61.10584084795615,56.719400878283686,57.76873834066928,55.30314886335677,57.00019743169339,55.172383937601204,51.40699338585078,48.32628594915572,45.06243288294626,42.401676292271056,39.572079258075554,38.91462693974531,40.72639491068511,42.575167440205966,46.53758000895815,45.64282852708824,51.777572342292096,51.06759309343971,53.419569737530345,52.71675698001345,54.10144743061036,51.762628865378375,51.29982984732047,47.97260492234451,49.61465288708586,47.75658181016757,45.5808073987662,47.653298633560134,47.86105560142192,47.80297183912835,49.99272695137741,47.59676897741062,49.940145728538134,46.23950066583803,43.80059548139704,39.18421504470989,38.711602464290216,34.48039716993678,37.1951469626702,34.437508347810756,34.928526840845386,38.17575583095731,36.6918679581919,39.6969091562648,37.13565073479,40.28258921900732,35.755165931264465,37.76642148075809,37.17332236295909,32.73905608220813,32.57414725766806,27.99948511944172,29.73511688550934,26.51566044287333,28.149128865818543,28.74769162239194,29.39174128835055,32.7668444226153,34.89944241557895,37.794092198511656,35.71825133256978,32.733344726990396,29.581911063356525,28.012262558728242,25.71738026927576,23.23009166087278,26.017674103412336,23.84813329161345,28.16912596828845,30.254594448046717,35.20063467938001,33.964548389156064,37.80498360698964,39.53834766871633,40.77492038537103,37.18809516169151,34.45694541196248,30.563300333080296,31.299417821176643,30.682272410107842,33.03723889477375,33.29808649289683,37.92707522034556,37.895027341758656,35.52352401665117,39.111520190730054,37.44416779813851,34.311486835495685,33.033651384223646,32.09833423922028,28.59606076171388,29.119352177341092,27.46797577900044,31.114203240770305,28.85310064241061,30.969551586078204,32.83301526428746,32.016806676441234,32.83897213609896,34.552363347822194,34.373958785436095,35.474148431456754,38.450745146096615,37.34908804973494,41.87581109349423,42.83342167757548,39.64926489725602,43.196298986203274,44.952107621325624,43.04451343034221,39.21530094944674,39.941568759492434,37.04681474056536,40.70171551600721,40.42404755688922,41.134516917782776,41.11343568247986,40.14170483299603,44.48975910071404,45.11816967692407,45.23006992516369,44.62557179097448,39.710716112564796,43.719738162747326,45.99252529104218,43.522415994502836,47.013997424691354,47.03471011978183,50.8865073549165,48.77927642032344,49.7741578308454,49.000468105258875,47.473043671401214,45.87708905320622,43.14199958452821,42.65894207873038,41.87523516980286,36.94532311896793,37.57104699382941,33.89773395274421,32.68017504677339,33.86172883304233,32.2357953842713,28.996767556330006,28.829352767088558,30.464461299339668,26.503152009759468,23.260037089823854,26.325095047073045,27.546843636892074,21.458976568065257,21.539683706143627,23.77606476618549,20.99690066374367,17.34193947922392,20.473108492280574,21.14009457976306,25.4975216808622,26.780602027924655,27.82075341406351,30.276703897007156,35.42131078898732,37.900058325962185,40.49471496951214,41.3907831993313,41.30020359388619,44.146055839524244,42.44541883744763,46.538579914462645,44.891492181060386,39.38846684565053,42.65987586030773,45.72851079181146,41.506214283229376,40.01400695797817,43.77263233727924,43.28085072655198,38.83739079107933,39.314568143950225,35.42713617006038,38.473789972978864,40.83458109775708,38.99686255812071,41.09194025333663,42.63263618475936,40.63637537563516,37.200187452244734,37.57909442212897,37.93541054659661,33.82796181840148,32.114205413188905,33.17690117655331,30.996437089870874,28.001872768522873,31.73883550286057,31.295650952099802,26.490303489108793,27.80727853936367,31.583273089095755,31.206855921963534,34.82099360676674,35.026943439345374,38.58274236040579,35.97843711136972,31.294233486859326,35.721623238923144,36.41897178112214,32.929248141308754,32.96485742480042,38.456320324102826,36.25948225657557,31.733498086799457,35.259489630147016,39.080362578758994,36.22268357132127,32.78087410053334,28.09236390236232,31.24581908527639,26.901920252356916,26.323072587522137,21.794927789045012,22.468067350658366,18.36727368846331,17.85927205644734,20.881062690741796,24.076622589020428,25.788441515700136,27.20980564402144,24.632226789315034,28.629747857460508,25.732213217958805,22.924461730173537,26.11094374644056,27.108032328058233,26.170146239351926,22.46936874333097,21.57329765054047,22.48581887577316,21.167139377838893,16.50827595408453,19.58208433381571,21.73678840691152,22.484048437827234,23.37516296866295,25.75012839552422],[15.7692923882951,16.430943272846935,19.36482731703059,16.323655902075703,21.82925082101568,19.178158746854546,21.680225434083052,24.475634265399375,22.289159349787568,24.62067691595038,26.097002517748546,28.37704162660262,29.989729595893603,27.51138041556122,32.12310752684186,34.2360075052162,33.70310636644736,37.77655609622279,40.04166800080649,43.014064072904624,46.088197271027504,50.085591471112316,50.74081046363722,49.91393254147825,47.51343065878253,43.31130082889793,41.63510436268342,37.4671883067572,38.159300308033785,37.58368895756738,39.48432612626437,39.23801479947757,41.929504443880056,45.89858986945712,44.40310375936603,43.10175964591578,42.407610490255195,43.5232694309726,43.422299887485366,49.00512595248252,46.6381309623701,47.5424124690732,51.723533934533194,52.10935710598025,53.817498946728875,53.692152188355344,57.49587189137965,56.44644464742678,53.48799535540313,57.63766226245196,58.44297737364305,58.32960274024944,58.89547677401608,53.76204228940622,56.97596449854284,60.58877866427808,57.146700997659394,55.10470537326988,59.80754911718602,60.78964209966348,56.19108635665771,57.032063606344714,54.54028168063724,55.9532265153632,54.304552880562085,50.676372164181224,47.20876306771727,44.018144401713464,41.04156557150219,38.171577783242434,37.30017180304424,38.80881429018634,40.927497788209784,44.98724138334667,44.4090634084091,50.5453344538301,50.180676773483164,52.60780848931101,52.15951187965714,53.7299114058154,51.70138750760117,51.47787055819411,48.36625163162267,50.23938031055549,48.277973170763886,45.83559421971381,47.54016116658771,47.804201826344624,47.32374086036909,49.44894612009166,46.758149110426466,48.81989525554111,45.1271749114998,42.85861542777545,38.30298933901608,37.58145705807361,33.4059600224823,36.661854144857685,34.1961303060283,35.12986327638196,38.33953748520186,37.47003076839594,40.28220154090437,38.232986836336664,41.595256762432186,37.21292869936551,39.59933119749167,39.195793005969065,34.8793821362888,34.44280917721946,29.777211166640804,30.953923213687332,27.365191526377117,28.6592595030762,28.611070736814302,29.124135027401394,32.19936316712784,34.02701180258878,36.66711580220314,34.70435134222472,31.572027168622338,28.60362260240467,27.22550863412376,25.318743339594825,23.28483365774965,26.624781043295958,25.175303704801898,29.477041382736264,31.89716818821664,36.883498308881876,35.963742629013645,39.945678504997666,41.400901701957004,42.51480997277893,38.74183173049378,35.709358714109996,32.1032689235358,32.28599468608418,31.251232654211094,33.37404300515398,33.15519604458121,37.61151353640145,37.44532041327406,35.29483380717364,38.91513669106263,37.338613595454426,34.30884837908378,33.19177062705538,32.65693273594515,29.142438539701086,30.176423942383146,28.258812191151343,32.216833990611654,29.79460189564351,31.43119630742525,33.422123622263946,32.40353824896338,33.66597862076449,34.95171319168515,35.29781979247161,36.20966328964914,38.741355679485615,37.677725904727424,42.211720607011934,43.20006537681617,40.100545118069675,43.92653996761632,45.63121776784737,44.049432485236466,40.11258762008886,40.96912566487566,37.82460966279587,41.42845679592184,41.20777242646469,41.82003674338684,41.954467530479846,40.60571628855045,45.24118774522143,45.78939726451599,46.178990505198115,45.50715245706741,40.91028332389684,45.09014858604879,47.357133641733114,44.72177305785149,47.84411605679634,47.507851789430156,51.45178798561054,49.228000819597035,50.60660929611795,50.00370054995854,48.66523446272895,47.31010145291031,44.759966093591196,44.525028032987635,44.01001927743017,39.073762603008625,39.97311848063719,36.5126643399935,35.21609533808833,36.77114663009806,35.04139736891471,31.65816232799789,31.841604921559394,33.64137653543477,29.54684651351308,26.394078980923027,29.716979870740683,30.89972201663043,24.79553019302877,25.09779258514132,27.402395727902967,24.44798182062463,20.976310396974153,24.242901309800597,24.859292192457925,29.27547897640402,30.439241721832733,31.460591313145635,33.99513697195576,39.11325060517127,41.657618845768404,44.18726347049942,44.99621366703536,44.78849228291937,47.536335841398746,45.64923794186185,49.75589273543326,48.25252718727717,42.62011438572033,45.73763870670537,48.885256889649575,44.68373613228413,43.01432897504418,46.6362614819078,46.269636456596565,41.83776384094515,41.94957562310323,38.29670665056504,41.119512326083616,43.653919137476166,41.99216425138712,43.93217740189636,45.58598082166335,43.318819361064364,39.984331091422554,40.6207863324991,40.754575273782564,36.527025440777535,35.13990144222779,36.20576554348174,33.89558908930997,31.103129755198108,35.026893412958906,34.47692752988447,29.639209990431425,31.25431163681548,35.07192585997623,34.75978565421018,38.29824989691244,38.34916979061894,41.99748364544756,39.55863242732721,34.77308520262131,39.09713831372191,39.955149259244514,36.49109695304288,36.30119541054855,41.8771337184737,39.786108824646135,35.12628127447302,38.46943202205197,42.433636201034965,39.611257608671345,36.06761630751338,31.34862720574714,34.47815979018323,30.04899069512567,29.80006843808929,25.16264183386322,25.892586042746725,21.74350293824477,21.052548117768286,23.9036613355003,27.015556330428172,28.588927664111008,30.21072821499052,27.272220097183105,31.10675581244434,27.83157507129287,25.54283278229018,28.524726852749662,29.733098946784857,28.281073614286406,24.73000669666347,24.31480426146691,24.81017175224909,22.92707244641537,18.707235808047923,21.752624095023318,23.466555329726784,23.79029776232401,24.348699397864564,26.566708069384813],[18.92496300519622,19.599672709317886,22.294134298612114,18.75557792125328,24.018473428381643,20.72292938333724,22.64858002211312,25.14687897413635,22.28783372589251,24.244545748454307,25.250717817444684,27.70022571689352,29.516195292477803,26.600129405769813,30.976304201906792,33.38706293098966,33.0191092845442,36.851338199296045,39.07505397822792,42.29303071881679,45.229227430083874,49.41498244948728,49.94193499296062,49.252164302601514,47.037123233598244,42.710434958678704,41.26368300681644,37.06560073425144,37.627122326384345,37.128799486076005,38.3732633876313,38.570568297211004,40.98421311978032,44.848146704677326,43.660652540717535,42.39496468155934,42.0818812652213,43.26202670471125,43.41905642734822,49.24005748680376,46.70995601746361,47.22626119848429,51.47142138129485,52.01843914560463,53.64649575203321,53.72142428698351,57.49073058060772,56.42648584425266,53.74616854936016,58.04473600456936,58.697425757355795,58.724630269782594,59.09598189161035,53.949608430113,57.00038256878873,60.49532255826711,56.957832667669685,54.76083525038226,59.39998546747198,60.41009042178716,55.6076609703361,56.149048756007986,53.55839053859354,54.77349452439301,53.39230481167987,49.85472170704143,46.05358826170705,42.860090806515686,39.67199121939898,36.66240618545462,35.67715903880935,36.85008898800419,39.120015000448056,43.32948634697624,42.955552220679536,49.02288599369906,49.05372286975788,51.4365639118201,51.292418302876925,53.11183859610859,51.347432493628695,51.44483577631673,48.4573624952486,50.62378720530298,48.681321271646034,45.92222404350301,47.279394789070416,47.44373919691924,46.61886018276437,48.511538546621395,45.57677243511749,47.30677038851111,43.599332012064885,41.44011737059504,37.00796314131268,35.969541480559705,31.92396222382563,35.628312101951906,33.45336070601018,34.68278912539335,37.989536235040575,37.71621567641712,40.4508471348606,38.93612452284034,42.627817188755024,38.45380052288229,41.140540278794134,41.03782569944316,36.86752371620274,36.064538449649035,31.410984978155614,32.12467203998268,28.189764555323084,29.31531374873358,28.595341028860606,29.157329472025136,31.86244795837971,33.56570110182839,35.811725779953015,33.805983271763516,30.623822207307743,27.82564423846466,26.877497430993696,25.305806367252778,23.64569582001301,27.564495534491204,26.629839888321303,30.91266710155295,33.599355452894564,38.52039535802452,38.06316317107458,42.06995116774397,43.3686525743143,44.2167945800613,40.44688009898896,37.110814384507556,33.93909333765341,33.64138181809204,32.30882359853816,34.087453371634204,33.5894129548281,37.85659292164762,37.404770961001574,35.41029606049443,38.968934033782766,37.32811600476794,34.45239374094889,33.336922792404565,33.12599148389062,29.53348760833441,30.933194527473816,28.623833095611726,32.727681102258586,30.025160514065277,31.222330395693604,33.43233727446205,32.356256741001594,34.08702174725454,35.04306673949812,36.00474149519328,36.9352931384939,38.993815431125334,38.19311715583876,42.63369960703233,43.82917875773334,40.987588955422716,45.00242485310082,46.77660958015145,45.49659548720094,41.47442082911464,42.32903914943227,38.91591865886855,42.31799305333078,42.021835858370544,42.41809294566122,42.57416802761724,40.81652531262436,45.639713831468114,46.253738867395974,46.90834204549032,46.34184022904303,42.016396147033525,46.435218633834886,48.76948826787846,46.04751018258455,48.77023460524579,48.09663475904729,52.16542765861242,49.99318908979457,51.70319481804007,51.335294367062815,50.07951232280001,49.01858904945937,46.628968083854346,46.59244371649429,46.35004968734892,41.41991466668974,42.46063817729122,39.195808617267176,37.678511171679595,39.52625254141987,37.565310976603634,34.141173320523905,34.74642169637191,36.54482197821694,32.271623928842324,29.44910575702182,32.90001610633728,33.81824828985185,27.78241346031728,28.38342766409191,30.630177778964466,27.395676401379244,24.259848514709102,27.71182343184669,28.4250819131824,32.756394640171635,34.1289943726113,34.97890236012358,37.481125358661515,42.61224041991555,45.18523495404952,47.67245176590383,48.28242447898274,47.99100943971724,50.60548515550269,48.51556998035636,52.70503506003286,51.40801411324344,45.67953187081427,48.63094159783204,51.957482423162,47.84673388900471,45.99348281199874,49.5068348948605,49.39194810847849,44.99452920248012,44.7422811678457,41.20405383100884,43.67031128129726,46.297580391060414,44.69263116412113,46.38652967427959,48.039239637606386,45.49996174900049,42.37665844027935,43.1583820821712,42.97500649440689,38.70789833262507,37.67975888581556,38.612591707264976,36.135688047787085,33.64241601905373,37.717427080609795,36.96762925864788,32.11792139493724,34.123240853571865,37.969117188156645,37.8208068462073,41.279995314337334,41.2142814317116,45.00761646891138,42.75495959217223,37.931342369433,42.19637962595537,43.27867508775815,39.875422279411424,39.54285874675731,45.21944054081621,43.31737741451425,38.58737404952435,41.77521576341026,45.900166365795435,43.20317560935561,39.60967227223415,34.883959053385276,38.12764187989805,33.70343516836839,33.55475405213652,28.82758481488426,29.390502417074455,25.108368664230838,24.575821673445066,27.275656200157258,30.419674185734884,31.783382698034075,33.369179015048495,30.042894807738318,33.656254694937665,30.029494137058503,27.99583531682505,30.651747648004655,31.922480488936056,29.930497114050223,26.70578714610737,26.59605536096794,26.567794750099985,24.35049486669021,20.532739816770416,23.314872340362136,24.586511501438757,24.506626134534187,24.719504644527436,26.70122692008316],[22.687982573305227,23.07391578715975,25.261974344316364,21.17507564403861,26.200425055663782,22.95690684916055,24.263912106952386,26.857208214744205,23.513552825490972,24.717467629021456,25.511416041198306,28.39524388295054,29.848120524131197,26.373583207462122,30.649888995616823,33.310884997910485,32.70419984434676,36.18799778946992,37.99546428234303,41.53962819359606,44.16716332952332,48.495578735425404,48.736108399559626,47.98199994225794,46.07927845047098,41.684702373153335,40.63952926922908,36.5448121809838,37.30533077660844,37.20129517766981,37.96997645786545,38.80231341267269,41.12591379949714,44.700481242357256,43.647251131802925,42.15327263285747,42.30093973987897,43.123199687499266,43.35012909091105,49.348535644538885,46.4156974684178,46.67373696806538,51.01401777069033,51.50127706371388,52.877916424684024,52.98976301370379,56.736817038850226,55.868185891218516,53.3862242722461,57.80611225271662,58.52435830363059,58.789222359902084,59.09802465193758,53.94865936552307,57.094330630831536,60.31447792122534,56.56851964396956,54.47259785553717,59.07316640495029,59.848302436338955,54.8889959859544,55.30961789058691,52.80513036278122,53.62415115858566,52.355134140792025,49.05591273069814,44.86997509079577,41.89496598605746,38.33645909805066,35.4639024991218,34.16428231373393,35.00557212611561,37.64804124273743,41.817628512745166,41.90814822822474,47.94750133293354,48.26885915749769,50.82444591249166,50.87817027566757,52.78116481510122,51.40111870773421,51.6397637548752,49.01192127340839,51.29130741874404,49.158149268126685,46.248817654901664,47.19983383677416,47.58577525032419,46.27275039914808,48.257756304448506,45.024079215443386,46.49700197618444,42.89939048095482,41.04344539677446,36.71513677646197,35.53943049411308,31.601095176706018,35.852315181072576,34.05558017455502,35.870257363501715,38.83589356013555,39.16557467489642,41.49895750975362,40.4620210570162,44.12497838626674,40.10676393310607,43.1385007162861,43.083481710519585,39.06672679257979,38.15882643412031,33.46344136277232,33.598176886106415,29.496426040309856,30.097001075503865,28.81761387266104,29.051146203982544,31.38525113048769,32.5430452529557,34.56085695013153,32.886871662828796,29.570990960017404,27.11989469985251,26.22154983041099,25.209995644542794,24.194247427165227,28.35581334901687,28.26492642901557,32.33936575140328,35.27399435933875,40.19770940559404,39.88740714371464,44.042011682401515,44.97070152013523,45.82253715131975,41.79258691250596,38.27335312001337,35.31739998617612,34.48858670931418,32.72924642647239,34.30117718433575,33.19107727956301,37.17109556929598,36.70983861734144,35.0521125932048,38.61885815650587,37.25648074513918,34.52959796689529,33.76721267556212,34.01988140730822,30.643308609982732,32.59019309297353,30.316158397741827,34.722396980607115,32.18843632949823,32.83389303524466,34.92903317260143,33.5183473027464,35.54376602510836,35.95756627469221,37.262416080291025,37.78052963368573,39.38904366145083,38.43595727819643,42.861185594716936,43.90530261871277,41.07159114576541,45.335787215189,46.93851633448763,46.009800462537285,41.950383470751724,43.00680060525008,39.45718271065577,42.85511521545721,42.738563144526694,43.147861513996986,43.58239200006906,41.553713049282074,46.642855911951116,47.01013900221728,47.9227363503396,47.13181088813362,43.23306699170211,47.65447403365123,49.878801201751926,46.98096000068186,49.33708590116523,48.318315150666315,52.382066266872634,49.99408131689837,52.088274035901044,51.84038740845451,50.861660193826005,50.0042986916283,47.84010235996313,48.06902695240828,48.07218417670207,43.199600552007055,44.56744069080337,41.544777637858566,40.10716809416016,42.31250150011992,40.41913085055705,36.83484056090464,37.63544992114809,39.70548530588694,35.43381195399492,32.486310474212125,36.211426011024884,37.33772447008866,31.262637650771865,31.937675311182655,34.38009328420186,31.176356392734334,28.005475261065495,31.535110823366566,32.031743642149216,36.569503835894736,37.519119534865354,38.43490964125831,41.12011391542434,46.168254672588304,48.88896258023659,51.247050230344726,51.84410467967964,51.38334371296606,53.92022824137626,51.67149618092445,55.7791860228917,54.57395304158413,48.717514474840755,51.513901742749674,54.80899721810303,50.687231411276834,48.68252562444234,52.01895354986314,51.93299544165872,47.56117080952578,46.97209938779944,43.771913913143834,46.12874297279276,48.953231734839974,47.63771943257104,49.275464960947076,51.14960621128027,48.395888607138104,45.26812256412334,46.39928557566715,46.14848376022815,41.733313384723566,40.947552131527694,42.06087795627114,39.57242572545489,37.135936043613476,41.37201375532578,40.70069056818247,35.87000995086422,37.945117774002796,41.83088211225091,41.58050244967107,44.93952381489886,44.6691593205516,48.46458869970861,46.374906526629324,41.39536718583828,45.49050004549465,46.667860242673605,43.2720113301237,42.649942410467396,48.36730774403231,46.529485181424434,41.6366603849497,44.60649684183081,48.84387736144879,46.15432273705188,42.44605868500334,37.714588056803336,40.87019600394824,36.37615439288546,36.65116113297545,31.824666847692253,32.5389496587464,28.329989763086164,27.463093734966087,29.966217248368075,32.93163587101383,34.18290263406323,36.05641617128712,32.53049138898653,35.99017792939317,32.14122554412426,30.78901931988876,33.355197212172115,34.91901335819678,32.650581823067014,29.431446235318273,29.843258854389607,29.707216744651852,26.92321130756081,23.656613908075077,26.586970920417293,27.54247062900841,27.098011898866687,27.0747978875971,28.911192954767102],[23.308936516796873,23.68215262598217,25.63913856042059,21.341753987157805,25.88597617823016,21.75687105399722,22.542193326848743,24.508311125114194,20.689620868665603,21.801187284165817,22.04469346081899,24.784235695122565,26.69769828256228,23.164342688403714,27.061470982009595,29.866215159719918,29.72758674622168,33.11296050395865,35.28476538602946,38.788077770686954,41.514025538275774,45.924075883536986,46.30551798235122,45.88511821801355,43.91860131874483,39.46290126722194,38.334616752771,34.15202699049039,34.466309454233475,34.10926779238103,34.357632339924535,35.263528029146116,37.275520916749215,40.884139399320325,40.1276971625023,38.894744498062536,39.18178333368289,40.419960375235554,40.987053376708275,47.101477533615274,44.388074983655066,44.27980123469106,48.561468593670305,49.387234266518874,50.924848607064035,51.355807137982985,55.02803446886449,53.88299473130263,51.682052513294565,56.171227090775226,56.524663160694466,56.757042130859915,56.80162039158629,51.685181671656274,54.43739428427486,57.72495873500586,54.0851595159673,51.654442950425874,56.157729756857854,57.2212658188274,52.157510291561486,52.24832920826775,49.53105856795084,50.47830902419375,49.49554948880086,46.09978464293308,41.88204157807295,38.696703428668975,35.281034343351465,32.09255667846749,30.99670394715623,31.722910884118527,34.120997041489765,38.495752722046475,38.37669592796706,44.29917001876307,44.86218122682001,47.177587174582015,47.45576397100564,49.61265002395353,48.27148058479372,48.85167812557311,46.12297515902271,48.71618943129764,46.81483488577136,43.588685254083515,44.37959372237694,44.41170328346596,43.060475744987365,44.62887401440724,41.36253037384736,42.63145498635506,38.95554024009706,37.014431712795165,32.80390624480832,31.380464624586285,27.57065050409837,31.92270782679991,30.279676826365492,32.13533589297299,35.30433648980362,36.04322996261124,38.46153399019673,37.87164311070995,41.96858198938064,38.22775412705288,41.42531675402236,41.81813241028293,38.00231005816404,36.599637088849875,32.06941992975009,31.91045985502227,27.537667090602497,28.309918084771994,26.50988691347282,27.172822942683897,29.19600999369981,30.789291449644132,32.33157347531251,30.209101649864547,27.063319789870615,24.5837984356226,24.443239366061846,23.42117429180929,22.4272086429764,27.127044854984916,27.098156418867937,31.175688675848303,34.250822178954316,38.94354982741657,39.32717675503798,43.31275152194471,44.295608028705544,44.64522824569654,40.95066571128045,37.14556522887248,34.840731382442065,33.733450454944276,31.987237270389397,33.09846593088195,32.29998206498176,36.191019939314,35.18761896904124,33.42346702496666,36.77397697285989,35.00609389365338,32.45011254067696,31.35311798902385,31.69529081702351,28.13505102542877,30.180624316416267,27.444269797656116,31.796538979580152,29.015558840112682,29.289058338451603,31.594094459425722,30.295083053293972,32.71436370616103,33.01087392763185,34.92666105815115,35.81324130049613,37.04373302639345,36.720376186373294,40.90558137483996,42.48021938271718,40.19568867464105,44.41635098403289,46.36443540544571,45.5931576878332,41.48738320738342,42.25317458002706,38.429260474811905,41.382249783718336,40.94136965897727,40.97019089276219,41.186310323783395,38.79912490793987,43.87783143053744,44.535856627772866,45.62482565734893,45.221676177237015,41.43827475315159,46.19070472903535,48.61365426207861,45.790018485515766,47.788081420141125,46.57111461048129,50.81176190257779,48.82613052251355,51.03918705331459,51.108187133349205,49.95632249846718,49.44592932350175,47.363308930592,47.67709530505465,47.956499140599256,43.10552742514819,44.3907889591753,41.56826331678924,39.668061302688734,42.107301055266284,39.7955603290032,36.30206738163531,37.71042843755557,39.591511533446784,35.08464206251138,32.84198002439795,36.59902063043627,37.185272872090096,31.336297422094972,32.51786887946832,34.82391221687601,31.214667255703688,28.66301967340616,32.56230746832044,33.22141534252364,37.56804865782531,39.05868326828696,39.463074703439766,42.023534220497005,47.07180254848231,49.888475202882454,52.09601416824549,52.23340320329297,51.63340410019215,53.91434791868725,51.3647216769084,55.63455735970418,54.800175992588684,48.86258328795105,51.404584176873364,55.05949748600027,51.17303091238706,48.91558285423538,52.14836521700062,52.59001042627414,48.31141384198719,47.26522102383996,44.01620814068282,45.73734773941944,48.551529402556845,47.1730231440408,48.40388671725109,50.173709353283996,47.10466764430473,44.342003737435256,45.56883701401704,44.87070148610253,40.48910418972797,40.18368452933524,41.07949886863287,38.409381540118346,36.414011035441945,40.82613769451,39.92861715750391,35.16921349385624,37.771153834042146,41.678145799519044,41.641248412759694,44.807676762389036,44.34308633082244,48.353392816057536,46.614750419732665,41.62215323828316,45.61536456580832,47.204165437656776,43.9664237100074,43.18653595275797,49.052285973948244,47.65226793359131,42.73156784000665,45.48157231486132,49.988308263571696,47.66578106184338,43.95620546856222,39.25778128537763,42.86752787546018,38.54769438934747,38.64609999538012,33.650568885049786,33.75377992817188,29.27255732918786,29.08043614964142,31.361277885951395,34.57354544495316,35.399570605881095,36.838137699393464,32.777244197773214,35.87482563425515,31.681629252893494,30.29260973040179,32.324273767833574,33.819899955787925,30.95934563101232,28.285025369373933,28.946785876114987,28.167614521902298,25.18343410824356,22.463961982442456,24.989133300732004,25.400592787770314,24.559610303301902,24.201395916239658,25.789134357484194],[27.065054205488156,27.76681175297533,30.184769815308936,26.141762152736018,31.015975638280768,27.250211235936742,28.25379805559975,30.326244486799855,26.538091215936813,27.533795142956066,27.65299045856947,30.41775863705938,32.33753835792149,28.586886977217905,32.30437196803183,35.25691511493863,35.040627545578566,38.160952928752025,39.9798726397788,43.730005009035985,46.17825039459008,50.68148835349227,50.79182169544842,50.258371438927945,48.5933915943036,44.117491554372045,43.32576367426727,39.25435930319166,39.73872082618462,39.594779751299086,39.47362720669337,40.728640047285666,42.55579724719631,46.021061718881576,45.46000760143499,44.16462600775391,44.7055734059535,45.762865796499305,46.327476495207044,52.49702992564275,49.51481417506484,49.306595699636034,53.64470202526952,54.36780103634864,55.6746604082466,56.03801608845834,59.70341161987187,58.788292064091095,56.651741385147496,61.18203169005425,61.682778976848915,62.060454819762995,62.122683618109015,57.01033195895671,59.85618107578337,62.97480609229704,59.200567218295404,56.86737094896786,61.331340332040035,62.22078550781635,57.06216979950397,57.047216059558274,54.38278425914882,54.9936978009671,54.145343380577,50.96589839592523,46.43018660144132,43.44427276566976,39.723424718346685,36.645473164410475,35.273810063410515,35.550917349965715,38.30675041712127,42.667306771390436,42.97194214471219,48.77685887702853,49.68286925334641,52.04615712805827,52.538262494957635,54.78721736038482,53.68010657693531,54.343028828801415,51.7705856174888,54.389679715519094,52.396474313776935,49.14989514195379,49.74480769595349,49.87457443400639,48.24980904867742,49.76623791960797,46.3050625805901,47.257857818063954,43.65416422192309,41.89538156620292,37.86682984540422,36.18806055188446,32.59681340507208,37.22414608162635,35.77998911277323,37.645009867475295,40.93219696616019,41.81529443490612,44.236909355975534,43.71025759770541,47.77572265790464,43.99226963316164,47.14973681858229,47.4166659013322,43.511911847038206,42.272628870305226,37.691806127282035,37.61641412958463,33.29538219838629,33.91710082167886,32.055660745852194,32.454346810907964,34.32403298540898,35.39904384666517,36.84116373844052,35.08240090523098,31.84430507875401,29.66699720197616,29.390367728704764,28.709909127439698,27.978604916265365,32.542172057093346,32.63660840002939,36.69729293844303,39.74435629302829,44.53194022776796,44.624901048810436,48.700799403303606,49.63241997229452,50.20141397281381,46.3244460723944,42.60610376697905,40.03724568247765,38.94055699116352,37.03913519670534,38.262560863909194,36.992816196566224,40.719273086598115,39.935253222936346,38.44207128704215,41.848967204704074,40.35159396228486,37.84712415867473,36.97434451588435,37.44419416741514,33.95421909013231,36.01256781213654,33.24032407387849,37.490289493473924,34.441225041692256,34.79767827726342,37.28398481661206,36.06157985765849,38.5438255048481,38.78905048273473,40.73697466558088,41.46999718642101,42.61905855298643,42.078609099975296,46.31251426711847,47.6392749957896,45.13053028624157,49.48505994916011,51.17189916031746,50.48273313652209,46.39414070633502,47.39114033328025,43.650040106533865,46.77406613833376,46.5043589069437,46.6272962804774,46.95256535943763,44.52599467179775,49.656824199315516,50.23826889900853,51.37383329916338,50.832252693432615,47.13361648437318,51.78486002996565,54.10884259365257,51.20643465810765,53.205179814060386,51.901118502636734,56.07393343278053,53.821235686404734,56.17441452997499,56.14887816698071,55.19139598104257,54.58276904173467,52.522106857492,52.84787505659869,53.00735494194055,48.14784719228437,49.495631949082735,46.536471264335226,44.87858853230941,47.119884525383206,44.97898119845256,41.49087013319203,42.52152081696035,44.39137836418847,39.98601659633595,37.40609089027259,41.00572438262651,41.73472394019149,35.789715757114244,36.59651262412112,38.78338492663332,35.346463857319115,32.46826424598796,35.960814994395086,36.7528992626264,41.0001962486584,42.43730264149312,43.28311690594685,45.77382493999399,50.91162341529288,53.45187644566699,55.958320541034134,56.45354766230232,56.09011843229434,58.57946709119935,56.28223879907066,60.51596733626875,59.41889649724604,53.59237600002374,56.34580764436666,59.7966005475036,55.753325915928926,53.70624642459971,57.04433007076391,57.11837007747925,52.76028241546596,52.07845951042672,48.8186652136693,50.92932925862461,53.71070616041449,52.26372150688966,53.683613606878176,55.36803739879211,52.49444267259651,49.63136794125824,50.623755162277064,50.06800030585154,45.777222286017526,45.18704003206555,45.9635417352438,43.310515672493175,41.18572605397673,45.370485413913066,44.3741774648665,39.55320808901532,41.93801245268442,45.769847682198,45.8145874303971,49.20919476885109,49.04447653199434,52.95800744630222,50.867655631967445,46.02735688849369,50.21272741210363,51.46915841148438,48.1064524200914,47.617727694976786,53.35973063828368,51.56118928341532,46.74926347819272,49.767846700809436,54.01014143596185,51.3404235940623,47.67770956588988,42.9469900241397,46.106872488181516,41.61312050416042,41.72126478041234,36.97681895953301,37.607360598523755,33.30668517015489,32.66554508248107,35.22477864804758,38.249158897443095,39.48188168818638,41.22440081020873,37.56894944372553,40.91531238841506,36.914330333118,35.407107713437235,37.689344695184936,39.07471548701383,36.44609986004545,33.65136189471881,33.943874391877486,33.32215854275475,30.708349298463606,27.52329660785514,29.87666823102222,30.575462580864013,29.900321524074457,29.574118848613907,31.038832942733997],[23.100963707158044,24.096433978206015,27.03459846374758,23.568766149873582,28.77611022623048,25.207552342246863,26.906373936028103,29.082423922739288,25.8346893768535,27.572985689185813,28.076184869642105,30.51275063576704,32.65795639194532,29.419159987428337,33.435562329697426,36.12032015210392,35.97807845688142,39.52504321894646,41.66701634548349,45.12376766230765,47.87917333387841,52.233162000746916,52.59576916990596,52.007914176842746,50.02663804467587,45.61075896419378,44.426377393701145,40.245407905109616,40.685618745577464,40.23020603265753,40.77857900547503,41.36958565299707,43.41598803929545,47.19239729322632,46.37958260158674,45.21475870971344,45.24329469070595,46.52464350963154,46.90733587984657,52.89200383854387,50.22578937861426,50.406190526883094,54.69143197803458,55.36171206563541,56.87794578039605,57.09400018188756,60.82408632911456,59.79918455285538,57.352931445320955,61.75424744417298,62.314597495365504,62.4631128986211,62.681102413354814,57.5420530232462,60.43744455848583,63.825560327050944,60.21367770399403,57.883595357711144,62.44092491646519,63.47439230080944,58.4945140160382,58.72612814056725,56.03640720732115,57.02478157940319,55.94510087651477,52.53097364193607,48.384852547619126,45.220852436709784,41.80984876977672,38.67230706694935,37.54910328511343,38.251857280108034,40.71673339637542,45.07845479338614,44.9602303954477,50.88542124869216,51.39227401473077,53.67820064127646,53.88080822342176,55.96266139993013,54.44041565511137,54.84414059367168,51.93281382214511,54.34437858391058,52.45537694896752,49.45017907689155,50.51164789527653,50.53964544620507,49.41942161341352,51.001884769779444,47.84248283193022,49.155210199144896,45.43826384085873,43.376993858330884,39.15438262489542,37.700979178757926,33.896205769156055,37.981578964787964,36.08742848268178,37.3794783580911,40.95903938688344,41.12251967859288,43.92183838308487,42.78460335609136,46.75577830694477,42.72597728595713,45.506504077765875,45.58867870674512,41.474038269137324,40.48351276875806,35.88534035923035,36.43815008527461,32.331254006155106,33.3942397390909,32.20600087021954,32.7886102378685,35.14892326955419,36.639254247024304,38.503955494614274,36.53504345179457,33.32978359964596,30.7689804502481,30.18509430255261,28.953631630548912,27.60343981514402,31.82947277952486,31.13474642113653,35.40146478482508,38.182993371443686,43.048071196249275,42.7857605637287,46.77662934407898,48.04529800473037,48.77138472236411,45.03007466214138,41.56556822551061,38.584856178577674,38.06856309391747,36.55321208466567,38.131790348847126,37.34560933745003,41.41317758918041,40.81303852159519,39.00627472892148,42.50464188190607,40.85342273318879,38.12521353821586,37.00949013982529,37.008780962074546,33.34380192825594,34.8708248701251,32.1834802662871,36.18618045521879,33.025899070738106,34.03348966014968,36.58419382672433,35.64073124941666,37.73388993485779,38.5406257278193,39.97735290651409,40.99354934866625,42.70844543285114,42.10805721370689,46.46085161938573,47.76820593811143,45.05917558484938,49.20311565359828,50.951679216866516,49.86456496298516,45.81262724377197,46.71225582306757,43.17581320094483,46.462475568846315,46.121903913875975,46.3564729348757,46.48188069464261,44.42506170314168,49.322595170396035,50.05417604901556,50.88238370106451,50.43221111800885,46.26832306656083,50.82402678451255,53.19607462379452,50.43401192947408,52.915368021148595,52.01316252897201,56.14768462549122,53.96889735008377,55.91030317025304,55.66095805304201,54.48519241544889,53.5611485433593,51.251737414190224,51.29415474696053,51.127170366160534,46.204113092578545,47.26653564253249,44.01630258809994,42.43038081331028,44.252502444685724,42.180617955410504,38.82433087871341,39.478603053164136,41.13880336975733,36.818723117779754,34.154056845077534,37.46043082206963,38.145719901505146,32.20212181672512,32.771675172154794,34.78382296686849,31.45910922075065,28.451962031919,31.704017505509473,32.66615338916337,36.73151938683912,38.412798080324706,39.3686864929075,41.70152064813717,46.90465082424409,49.24691829335777,51.93476024115541,52.59841747148883,52.455347607728385,55.102701435849916,53.06675647375054,57.32226425165057,56.01301768361022,50.35269115985485,53.33678118817602,56.69461253284871,52.59164592242706,50.77975494397702,54.31718353726777,54.18902234643239,49.783553945665275,49.57792911439833,46.014470861395566,48.4309467513959,51.02265620893467,49.31430269450379,50.914938536566595,52.409974236394916,49.85002957235087,46.881852838116636,47.49772876422159,47.14571699834305,42.997375069116885,42.024790514328146,42.680228020248066,40.095581824994376,37.79272264176823,41.74587707028634,40.731934115766286,35.883299946443245,38.03463936018254,41.80181821277419,41.892495225440435,45.442548506925554,45.55019754561909,49.38387943850719,47.01837517670195,42.359234105366774,46.73422296894142,47.75656901832226,44.34494465113397,44.19807983937147,49.83322159977348,47.82671926891644,43.201998359770215,46.49792874218188,50.52773181379739,47.72953266304461,44.19154159970632,39.47242952473303,42.54348521938877,38.068175074474624,37.82606423000453,33.26865165015365,33.96643657105569,29.71699607176541,29.166646508330583,31.970437488885956,35.06243708802741,36.540167337707786,38.15085452209009,34.86583672844789,38.45990912452547,34.77539467443763,32.65126894826114,35.16769800592252,36.29020274813793,34.096264712640966,31.14795908548147,30.8744283267332,30.52702137474378,28.507823595090112,24.670895623604657,26.963743157191953,28.09865444587405,27.88522740295777,27.86958281072778,29.545449300592093],[24.025032354635922,24.80338270336896,27.545664735696224,23.987440106923493,29.299027148502873,26.343085533337256,28.058378229738217,30.672694135633268,27.53714081578705,28.99450523892936,29.78727294418501,32.518401352461744,34.15932175949286,30.759406057420776,34.99940353479119,37.66529690498264,37.10592519192277,40.59277882967594,42.349402750430215,45.9244123232617,48.50972307776415,52.840448378025386,53.01962442937428,52.190154377701525,50.35107931172204,45.970107245060184,44.97123405733865,40.89866071010815,41.7026595761666,41.568593391692495,42.32474671675465,43.10018254756991,45.360428094779394,48.99223752277143,47.99315906143531,46.547773371731076,46.64866696316811,47.49817145478312,47.674187608067605,53.62957520430494,50.68025368655655,51.015276469578616,55.36214008236336,55.78195836953924,57.10546098619767,57.1246415617498,60.88618067072411,60.109791206637695,57.5517154076704,61.93952837402528,62.76274338789774,63.019497228858455,63.39301310523666,58.24045427033211,61.43950970597578,64.67332630838781,60.91885670355604,58.86329968810391,63.47130843411168,64.21630101433114,59.26528505805865,59.69551703078136,57.19408691003341,57.96519004254451,56.71079102744135,53.4450542126956,49.212539679945834,46.26989143685172,42.65640412234897,39.79109132927336,38.440098855801374,39.148135839060274,41.877725159871105,46.06770389702791,46.234099734354054,52.24061884912015,52.64489937270361,55.173532768794104,55.267041870851706,57.18461122400817,55.77675370869163,55.98611654807382,53.296735568819464,55.52712677359157,53.40183281152678,50.562730532503586,51.57961869382728,51.94743436287053,50.67539608903803,52.60808104229485,49.371338208366815,50.767939641073944,47.15157732743311,45.266515103566974,40.97971938996664,39.69204519789256,35.810762953530336,40.02899411666051,38.17606536298965,39.734932014146935,42.95670182144074,43.09682959256322,45.6259031559545,44.39258906735553,48.03135051209463,43.898600712041336,46.72668336920238,46.531555470850414,42.378532739486545,41.66696718759947,36.96279797957555,37.43084169283153,33.45048164796521,34.177258958275196,33.10900635357338,33.302086450496034,35.712778946640036,36.749808268070296,38.833933288188064,37.263313346045,33.923781780206845,31.504134791385734,30.479678816195843,29.452146157595838,28.335640168510718,32.286828602512706,31.90800858851275,36.04714409350073,38.83061040705602,43.81825608067513,43.18412114551231,47.33149232199321,48.391081933113135,49.43587388281682,45.38244355801335,42.037919654813905,38.76297314912279,38.20620176069198,36.53472164251495,38.30420602085499,37.12545767252888,41.12082681300143,40.85414354488518,39.23518132832292,42.85221298855399,41.56643138537735,38.79489650232678,38.034490643704785,38.163319307141634,34.73245731290935,36.44325529924501,34.12302210227564,38.32836711104378,35.520652863861095,36.48206450383883,38.76802721677765,37.559262799208355,39.49679081736814,40.12854525948144,41.28690619999231,41.874727837805914,43.65161330452534,42.58643267822153,47.06941091723451,47.974917358736946,44.940043302321705,49.180634292306074,50.644900719483175,49.596712341530505,45.580453893780366,46.730027237102846,43.32955282397268,46.87779232164073,46.818615468436725,47.309604623493044,47.701357434172294,45.7828444436275,50.7942738696542,51.21104268789509,52.02590548568737,51.21895274476965,47.17299491550892,51.49636093472415,53.68443862737105,50.8116492411561,53.36765643618687,52.46435582909588,56.46987320383787,53.96235031326027,55.96344927000923,55.561501527492204,54.60651021445081,53.549955329682895,51.29211156934178,51.394650435792535,51.16585225291474,46.27703852841263,47.53646017905908,44.29516344997041,43.045223084319275,44.90069053417526,43.144930300074805,39.65701798912795,40.03180018375076,41.96121148188977,37.81662020308412,34.65153920107509,38.08118804010953,39.24866785567325,33.16658095192206,33.46610024082897,35.69973445271128,32.68709006292877,29.276966416169135,32.35139898581632,33.03762866646134,37.35987459194736,38.406801080136745,39.69026180999803,42.21770935745035,47.338975374939054,49.73924010844367,52.40215602708323,53.33270045146119,53.15672288491583,55.906890920160826,53.96863699792748,58.05773668417734,56.5728621927705,50.90152461958063,53.94639526635489,57.052000252952666,52.81036716553062,51.076310622076676,54.57315897889265,54.13862423953508,49.70685944566936,49.60904107502264,46.25927578778333,49.00485512696906,51.69862227115474,50.20176555169352,52.03382082159166,53.735912143300965,51.26659731573231,48.052268035760314,48.8248961025506,48.746353833332364,44.48694105502058,43.34402334828158,44.28612958692169,41.840561087928414,39.26885796859924,43.210043401072106,42.443704126253586,37.586074438593094,39.405541648270535,43.18063371378042,43.02870163340297,46.60902411842733,46.689579139797196,50.370356884456235,47.90610153104783,43.158111056684604,47.46667165391042,48.29253439735292,44.802944139213906,44.570060541520455,50.11877951212194,47.90216520847555,43.2136028603947,46.50141341133841,50.42191741860161,47.428315958987255,43.84106380563334,39.12412757714424,41.879745638440156,37.296864628393486,37.391039884684794,32.89565857219937,34.01897084338064,30.005703976949313,28.88638227157294,31.688661603536236,34.5253858669509,36.18129565682768,38.17718131255253,35.135410411369584,38.84943353822981,35.296829134512244,33.55765896129117,36.35337919902862,37.69042104483996,35.75626275583051,32.45326001480937,32.34004513901218,32.38783477411868,30.15382474617864,26.333255741714073,29.035764449423695,30.335951662282405,30.18457227895683,30.280102915373515,32.08396228696294],[18.932394362685628,19.993433953525575,23.299876434337175,20.57421016419557,26.130553209468207,23.55219666944793,26.047493784093838,28.73207170460651,26.363366355849017,28.60063986431402,29.827407544890338,32.13190661536232,33.93574187123611,31.215334738978047,35.69364830670796,37.99235998874388,37.52312879267897,41.44635354737777,43.57852598852892,46.74743963037647,49.6817409883588,53.790564150454024,54.292457067388874,53.436263828999536,51.21394128571211,46.951850293739376,45.478558677293556,41.32806744798567,42.047704802573676,41.54932555028793,43.08720552848625,43.08359328989767,45.59063521460159,49.52815709400409,48.226774408267644,46.942478075217664,46.43925691739119,47.542932306750856,47.50908655623128,53.178936100349105,50.6607683148238,51.44125272851298,55.676283399340114,56.05090298440729,57.63769622003513,57.50786530002919,61.31253232695922,60.375929878436075,57.48288374310329,61.681035088181325,62.538175716240964,62.50908724216502,63.05311387148138,57.90935202002992,61.12764096751612,64.66524375447348,61.142245177816854,59.0931016456911,63.77668198158139,64.7042202137407,60.00386609636242,60.7202873285328,58.20255512546466,59.4328859743263,57.91585774098874,54.385486144711294,50.668530959660806,47.53408796440152,44.3440067663136,41.43494621911755,40.406413400569576,41.610728535885286,43.94894799650175,48.099457756026325,47.75013622152883,53.844918876014326,53.75933247248648,56.17844908498804,55.91782871306348,57.61524021182804,55.7257804077165,55.62366120254745,52.56286936408446,54.522238018378985,52.54521818526835,50.01962319493405,51.57915176961831,51.825163093716995,51.16209735523813,53.16656702551414,50.319926810919746,52.14236465981158,48.43399901304862,46.22710395450451,41.764404568018485,40.78290303838056,36.71588208752435,40.23873695014753,37.90670398796946,38.8246560172644,42.25711914504334,41.556277397385095,44.4507562258514,42.51669805995488,45.972797374610096,41.604824583759566,43.958914214172935,43.54479549210911,39.20020454550255,38.79808290937728,34.15160218270971,35.352021317339045,31.72289430273293,32.95431581605479,32.70717023510973,33.13289487499837,36.055350985203205,37.61588893702724,40.12590396603634,38.29583632165248,35.07757531315797,32.26396766454744,30.954387762480426,29.294611961416578,27.474300305952813,30.90198489807335,29.5732455923251,33.859324134936934,36.27149673361799,41.269718268357614,40.24022215499181,44.230453241919534,45.685682862749324,46.884115568406735,43.05702158982886,40.05425844219215,36.36316603675175,36.51778350651707,35.36527668089478,37.49469356072875,36.97334430052038,41.32214385911875,41.222396076326575,39.2318663512519,42.88196063309756,41.402835202541304,38.420082140801505,37.37589012897099,36.948836025669415,33.401412799092654,34.46227435804097,32.349692654476684,36.207387354858376,33.43534055630884,35.097229489446065,37.33985635728327,36.433848908480144,37.857960354724675,39.114171045153455,39.63529062141852,40.54210873048431,42.956349196306206,41.86307921248092,46.41064166976238,47.32069500335969,44.132283658612025,48.05142791088141,49.61781343949532,48.09933495683286,44.171264944872526,45.152911750602,42.02847172278281,45.69147406908483,45.529461416686736,46.13598659592051,46.28737931827455,44.833822458783345,49.5110220057317,50.0899346230316,50.53409934100136,49.85043974653427,45.30265243831782,49.47077668512402,51.704505475780024,49.03539094309387,52.127354785440154,51.711177112007604,55.64534944774195,53.29061745216654,54.77164282358654,54.12962477467662,52.89562091254781,51.496011259239935,48.95969501703362,48.72174498682885,48.12261520071342,43.20213274054318,44.09739055930839,40.548483316847275,39.380966959571055,40.73820005155106,39.084169713185666,35.78370324140652,35.718578584438575,37.39938827888242,33.40448647829577,30.16045089761569,33.22596606979206,34.372110373426196,28.341712119117833,28.353878810449483,30.41034324156342,27.591577673927944,24.01830535179113,26.81115406498552,27.646632199282593,31.78440289175389,33.07253615253094,34.43711668185451,36.79861522903119,41.96642874658609,44.18870395021387,47.00219378982694,48.08597957815798,48.1245153231821,51.023992763721864,49.36728969230579,53.457869972403,51.761780357146044,46.28966042298962,49.56468692861268,52.5677298012965,48.29064434422255,46.81626594453879,50.51847728260377,49.89590013701249,45.43731298076658,45.863188672058065,42.17320879770024,45.2265810147207,47.68241552551883,45.908025303011506,47.93547010549385,49.437793228615575,47.33468251820946,44.01060742124223,44.38287989606014,44.560952155349554,40.48120400766896,38.910296993203076,39.76397594454143,37.446884026678795,34.659017386458,38.322592307593524,37.60747978712278,32.77279928936312,34.25977885771102,37.950693528692724,37.79560128052543,41.50816316647179,41.85714806889162,45.42139731486634,42.69063747994443,38.14217968151286,42.62003843534316,43.2003562064934,39.67760960184433,39.8070166937622,45.220218078272765,42.81707375498201,38.34769284959598,41.91871861348222,45.60854556529671,42.52447984871131,39.0891648970168,34.40752548276643,37.12142769559315,32.60491463478038,32.25653689317242,27.9658641947443,29.10476683281334,25.18214711144238,24.220814545886284,27.27833676867855,30.201908507908026,32.098594241548554,33.87328395906509,31.287360963409235,35.23746330390811,32.11391974015075,29.67919068159589,32.71971112784213,33.7563745257425,32.39548140530234,28.933261775368756,28.187114081283816,28.635541574654894,27.105115639331004,22.636785803625212,25.297563758105934,27.113451122441084,27.503277652414223,27.98631878006184,30.02427003166608],[19.639227015565464,19.725351394320015,21.828246023122198,18.126959784372055,23.463611687912845,21.505422781460783,23.440118971943583,26.751392888726187,24.271487380842146,25.720943079356303,27.332674090311592,30.229798883110565,31.059670961972206,28.019336816207243,32.78879287694004,35.05307714234202,33.92189289336949,37.69553941164067,39.28680361858078,42.59152431722141,45.28853364758432,49.35311466196419,49.635460457611295,48.518348078578974,46.4624456677828,42.25138899004391,41.03089081377921,37.04516607909078,38.25453084071874,38.2897920892346,40.0734643099932,40.46056737915326,43.30378441577062,46.91986606970725,45.327071570093196,43.57792431501808,43.284753289813295,43.69816298441886,43.43289294854162,49.11316166497052,46.1678331870217,47.054506380272485,51.364834451789186,51.45304883266949,52.794663563639034,52.4942154044156,56.31771167129526,55.65195717782772,52.71611245104832,56.94033955512028,58.056137951189015,58.222487495428105,58.90123515962117,53.75198874952521,57.34271386083842,60.6028683005337,56.87027963391353,55.17887027867567,59.90610779444769,60.43218716019257,55.75884389433947,56.72516735242417,54.48605365386984,55.41921153193168,53.66003517209639,50.34048277802212,46.538973290070665,43.71878974001955,40.303161211384115,37.805589714505146,36.50721760457694,37.834086387317946,40.440640968458375,44.290815029108195,44.29295902668238,50.493271108228605,50.20596178564795,52.99715729414966,52.567977558299795,54.02514371675082,52.38314485744394,52.06190703332084,49.44307213132388,51.215724572069405,48.87128069349853,46.48812640820068,47.85327668152125,48.62425968627975,47.646028620621294,50.19591100191549,47.22502554786234,49.205580008745805,45.69007736325453,43.80455993805771,39.25539099839182,38.61110677557192,34.43187433305161,38.20266503863904,36.05758879633677,37.70551349812782,40.29126537617798,39.87504567689835,42.09123639231855,40.33296715517993,43.33117441380935,38.98390994704347,41.70867936581668,41.0718436699454,36.86680205995709,36.61450581516768,31.820983052477448,32.40200461961864,28.81016031072645,29.3246509511364,28.97642267797551,28.835757276304417,31.710464938371004,32.69667309833759,35.43366954306203,34.10168102118877,30.743320882586882,28.147114365030795,26.32052979989283,25.016621430415277,23.713629000575114,26.950654891708208,26.54880478607439,30.53074770661745,33.16457447166061,38.26976011181178,37.10682471647771,41.37129343710151,42.29353938075772,43.7271994081483,39.422439971112915,36.35916228424146,32.6319280455655,32.328311514047336,30.787544028391952,32.96302879762481,31.885119343293997,36.08081367941538,36.25971155581473,34.53417134277352,38.28908724652374,37.290638028817185,34.32177524055459,33.83782209858803,33.79480332357555,30.699000601455456,32.36967814104694,30.851260155784956,35.254406750621435,33.317804707895384,34.44314218448006,36.07934106851564,34.53001569463146,35.87383377759842,36.546377821132815,36.88229430956483,37.02409743166074,39.27379196202761,37.61392191910189,42.272945198276716,42.736987911881165,39.30325217590369,43.42308381627983,44.71452160808401,43.43732435413936,39.49765542326433,40.768321552783725,37.65097470293714,41.524145399718726,41.73066472746514,42.615088714537016,43.23856419035887,41.82177571062334,46.774118833972594,46.810275392262454,47.38715148234221,46.17788417671383,42.042526126603384,45.98740363020617,47.980203376685196,45.09196170191124,48.00392007821534,47.406108937462015,51.21667258064312,48.49817441236754,50.22529136131107,49.560798715418656,48.658617424397995,47.334152818527116,45.018851129749464,45.068200506456066,44.70627731135339,39.854146701269805,41.241841578381525,38.02239613474045,37.13078137051988,39.059113311437805,37.70621548836842,34.05427958941877,34.1631519931552,36.48820092528437,32.58814506949228,28.85284959585728,32.56454947971694,34.40948345108802,28.194439184696837,28.333322727736178,31.041054972728023,28.43645606772825,24.621382276710804,27.78664569100461,27.881884421160613,32.73091175289119,32.831637122641226,34.195392355111764,37.09746565528756,42.01664913388617,44.779199451476444,47.115600244015276,48.136494090324206,47.71550048637354,50.46466962564599,48.51190915261481,52.36976817527516,50.803526460952135,45.04609572786101,48.056190345628984,50.93355549271116,46.6027789523711,44.85717297872146,48.263079075673325,47.64484737089013,43.219333966666206,43.10265979294591,39.98251739397462,43.00734596076762,45.820876142416076,44.6442049215991,46.74402613979949,48.80440253298779,46.42534246293564,42.86205184777318,43.98874116014267,44.31611897955603,39.85771269584326,38.55665252904749,40.07164148027666,37.8952760513088,34.930002088374096,38.98635252296027,38.755154757646125,33.969410363173964,35.345734575814724,39.18613194346182,38.53949710183945,41.96826512106211,41.77255476145735,45.2639556921967,42.92599587692525,37.915661303866884,41.97215038083925,42.7521179437218,39.244818340442436,38.66201224374125,44.18334315354272,41.988170814180364,37.1083559645791,40.19981766727047,44.17900598080726,41.20769852351666,37.50100107883717,32.78750973383948,35.554516748236544,30.964571845577808,31.493589845549707,26.800716524936636,28.070635260844018,24.258011885905425,22.659182427732286,25.264111024023194,27.93902722848855,29.55236813114378,31.833142377398335,28.932047495099958,32.72044262642325,29.37527681743134,28.14815928766009,31.2924330326803,32.98812014561124,31.528050511031065,27.664029811169854,27.935392170879688,28.682572776194515,26.055681076953462,22.448748621947217,25.98359414185269,27.507355813846942,27.542999806506774,27.976183785355374,30.184897241787898],[20.107866360340267,20.646658236548703,23.43374597918371,20.835404945796263,26.366540955910885,25.12134539675995,27.686361665554475,31.056308847269246,29.09067598010343,30.953102120505815,32.712010436764814,35.36388513590662,36.33490321922367,33.568520551210256,38.38566847626966,40.52846506560311,39.399893046767524,43.28536558710042,44.86236350616391,48.067059238028236,50.79206293957012,54.75341906613978,55.044735026351916,53.78164630208272,51.69499389765833,47.57745938420352,46.286975164486336,42.35330807668699,43.651140955926245,43.603403139702124,45.67456974992192,45.78187027515005,48.685379451267345,52.424080547947156,50.73841729666693,49.03393803561464,48.49850447841663,48.92044937936918,48.47390023833646,53.95338850711064,51.096908319099256,52.26723762766327,56.53500821600183,56.46337765093711,57.78724430678628,57.2729317896329,61.11701299556157,60.564364589931174,57.39968881666324,61.483509182230485,62.7972608200279,62.87576381902813,63.734347698552476,58.61029701083978,62.33510485940764,65.66705964175978,61.9904413717535,60.42963032915535,65.18973587929159,65.66786312181198,61.12807073573571,62.26583950103599,60.081137771746484,61.076951755314035,59.19197860345144,55.85830043492032,52.188186808598495,49.392772579732764,46.032746086271686,43.58865355037371,42.302882097072896,43.65891860058011,46.273865053243235,50.091287587979295,50.05444369585982,56.265521342684615,55.86028351751103,58.64098556432729,58.094981465008864,59.43717591231928,57.623414174381814,57.10086556529185,54.355112263138636,55.91094754345031,53.57874551631363,51.45049959340808,53.06436336156956,53.858486371244354,53.108201232703784,55.71274367197525,52.864228916012806,54.9369266489078,51.395315979028524,49.411187710386535,44.83365801600011,44.210911564667896,40.01362205734043,43.55426294884447,41.2138853795079,42.449211821032094,45.26482250003676,44.359377218967204,46.81899474399906,44.59207792063645,47.368566543380034,42.82794526273934,45.13546449396527,44.174362340086326,39.79250335314492,39.97267640829883,35.244693195573944,36.419622640229555,33.182005345802324,33.91274637865078,34.08782923996921,33.9069542247968,36.997444988861304,37.92605088700881,40.896687546423486,39.67268706759332,36.33180030271529,33.69390126910524,31.607531207136397,30.151020957660446,28.59763130533422,31.299384034669874,30.341433132695137,34.31256766720457,36.58485423138011,41.71490242335888,39.927848030104414,44.11067418278663,45.25253952914374,47.054264071205,42.76664816657957,40.11805692317114,35.848117562742225,36.121079244332165,34.86356898645392,37.395424287276754,36.40046376610878,40.66085774492821,41.19236681413812,39.44160724204899,43.245410803056494,42.358221308238164,39.292045330049056,38.8003431774557,38.46840561946785,35.37469323803765,36.59859174781929,35.21316868354763,39.29032974298868,37.19853670184456,38.85525745163076,40.59242626054625,39.29905996759291,40.32853756247064,41.39120271076733,41.27664415180431,41.49056371462623,44.139783641354505,42.24846614266863,46.976234282263945,47.17535733670089,43.41159092610993,47.35370775553843,48.428659882226796,46.85346328097346,43.064029386737545,44.432129488390075,41.67623207752846,45.78127269809005,46.09025190818626,47.16921007364872,47.72777005484924,46.647256079518165,51.39031294250444,51.448447827313146,51.77225725178099,50.49643477805106,46.08856519267137,49.75107741778169,51.6419328725995,48.85698921923279,52.19290508992096,51.91557708893024,55.56441053269415,52.699112751685895,54.11622883535567,53.13778254533766,52.23144722695188,50.51555094963401,48.02502289883592,47.81163387058906,47.01399781344176,42.21000921464369,43.37599712256897,39.830424630663344,39.33304536215836,40.64199833193022,39.635818414077775,36.18323082954932,35.511551959147525,37.64559872438172,34.10223450234081,29.959927073574832,33.14350741640519,35.21169790948499,29.093995204388815,28.547087973026134,30.986030013754412,28.90052179990766,24.662510371166736,26.984420183923124,27.205779192988263,31.761650023495857,31.728096143144715,33.71095940986807,36.41410331757026,41.330892802720335,43.65644248006154,46.36565786600468,47.94732146313009,47.92515251727369,50.99773231925983,49.5710324165904,53.3005253820242,51.269062411126654,45.85684543272736,49.23853947538626,51.72345995900105,47.2216720833068,45.949648196301,49.56833347757891,48.35000038810107,43.882626095607336,44.60545833484257,41.30075954265811,44.98886586791705,47.56116694541018,46.16584375360548,48.632818146767896,50.48409663282881,48.62521592086138,44.86937700537182,45.48834029555574,46.21449329176807,42.01182759667637,40.10005586953875,41.48879904245042,39.50021728809853,36.241207962817214,39.787914957341144,39.58897555404356,34.86437940105015,35.6453703280412,39.26963444495771,38.62184070934854,42.3166611577927,42.6114336136941,45.814828062953644,42.927328893881224,38.28959672969164,42.56947055038726,42.74510218804591,39.123984463334445,39.112592102843195,44.269804743593184,41.4817789485821,36.96801093890085,40.50774166104139,43.9196222273839,40.49188058521554,37.013748178738965,32.40515398329718,34.468322241682486,29.80823871454792,30.086345542132594,26.01534516944788,27.989096041519606,24.689010942061564,22.60838960648588,25.61121386989851,27.964923725471348,30.22866599876939,32.682822445099696,30.71974284330801,34.8551229231525,32.14739931724752,30.383720970219105,33.899432043945474,35.27064559090923,34.51019165746413,30.472353477984694,29.977629195140434,31.196787724242586,29.409283798244495,25.09385939848227,28.389774589836534,30.478160068666124,31.00967379184346,31.699966869911076,33.943577649597216],[20.10473885598541,20.997091441416277,24.245027389844957,22.41481404500734,27.962933909039013,26.968259757537467,29.90732535448233,33.18213849066004,31.540431348778178,33.74434047788749,35.5476979705161,37.95864079201027,39.1367961417508,36.615813339859855,41.423871867637175,43.47228938706236,42.46233597706949,46.46542438725761,48.17909985808012,51.26180274663509,54.085904249224924,57.980642807788854,58.36210273544748,57.089849980432675,54.90703217498038,50.837226164179015,49.409919740761794,45.46301609235927,46.69587967932078,46.48145423956399,48.725325063371336,48.55920177111129,51.46256232033267,55.332552360511954,53.616445226137955,52.02818899276196,51.283517417084774,51.8565557241367,51.352764398549695,56.702043138649636,54.02322796214051,55.34173013974095,59.557329115410404,59.47081561648887,60.86986421834916,60.28624036235352,64.13513289639019,63.55240754128953,60.26517409418727,64.2548791268226,65.59839194112594,65.56615511986156,66.49294226200774,61.389974031587265,65.09866995886064,68.5463303885432,64.96645570622344,63.39654382187953,68.1674463044927,68.72339238881125,64.27186660607204,65.47269620204118,63.26082706122868,64.39812771588342,62.470065752568225,59.05842649108827,55.53035400611212,52.6653644354294,49.42770726045769,46.93026954958458,45.74103875625293,47.15951189125879,49.674326518825616,53.520884841210176,53.336994012853566,59.5437435884629,59.05464362133368,61.75254360407385,61.137825637588534,62.44183315659139,60.45392066290768,59.84591864123803,56.930770400922945,58.39062763389027,56.15174993504529,54.147204368032206,55.96194665042885,56.65982385331391,56.13599673983483,58.680813636174435,55.958153350429136,58.1005983996105,54.50920001788679,52.39593530756081,47.804050367610685,47.184112695434266,42.98036633450964,46.294287682968246,43.796274957392264,44.678510213241026,47.71889769139131,46.46929448478392,49.164578135086366,46.6405503195803,49.36222606655105,44.73250457456423,46.736037845997195,45.65529877041858,41.183905409298575,41.555749452580386,36.92496473768792,38.51597783013109,35.477372878046076,36.4618433269238,36.94852579577601,36.878957154008106,40.11123552582068,41.1926691048566,44.25906386676715,42.95009629011584,39.66139617073017,36.92416387201556,34.80669036306099,33.16043813744378,31.35624066848266,33.81394831330535,32.386462915282564,36.38323187630743,38.41125462856802,43.496670611031625,41.443933631576655,45.49412195704353,46.86632388894125,48.78428108044927,44.64318598222659,42.22900361072005,37.73194862724121,38.39895495295017,37.396550004363405,40.079621284070704,39.31308178366762,43.661126994890246,44.284764459616255,42.428851123302834,46.22473385772631,45.26915973103645,42.145901826419475,41.52168295299516,40.94813938450005,37.78827995232663,38.65747095357947,37.277863751565505,41.07308987032789,38.83209686721861,40.849903989119184,42.69094509643577,41.63536088961161,42.479894470929004,43.85821197952117,43.51336810692379,43.92053652072354,46.82441983090208,44.94689779098195,49.67377308034214,49.85400948779562,46.00720884878536,49.782752841935164,50.84030251829187,49.04485498299163,45.345353440291525,46.66394613674916,44.09482945353848,48.246346348959655,48.513785326742706,49.63202207340945,50.05222033897995,49.16397127795478,53.7195428887107,53.89704374242794,54.04682649511969,52.85554121126486,48.218877274499164,51.771317248210124,53.66331850559723,50.99826220573511,54.59372709019651,54.542142339284254,58.13396985684313,55.30995280978639,56.48280991357644,55.356318429464885,54.34873597342182,52.42426973881273,49.795369747462885,49.37751467555684,48.313861027842776,43.54472002966993,44.47119981284823,40.71753741916817,40.350999879078806,41.22309522400645,40.33865812558592,37.08779070588086,36.003563736409276,37.89045886717467,34.55177614715306,30.360807851734744,33.10605406270531,35.1358486523448,29.19307065868157,28.28173024358817,30.427280198425663,28.624133663299634,24.291739420056526,26.049096785667977,26.463708147847104,30.659267235371335,30.79280475147003,33.05238839736395,35.51612405759001,40.43154136952898,42.42093434851538,45.386318589748186,47.24680651949884,47.512031191829834,50.75612759934145,49.659481282020984,53.35045301806709,51.073541026016834,45.92504302638418,49.523663944413535,51.83218043261042,47.28863816016477,46.31425095675877,50.08204824652781,48.58969531839136,44.1254754361547,45.37152977104613,41.86316416135756,45.84991519140743,48.20778410368412,46.588950258179295,49.21299581358549,50.84505083788744,49.31717092242206,45.52756229494809,45.74750968439581,46.65612937451126,42.68016819124382,40.42049709291381,41.62972851840633,39.74351045875757,36.38595351825305,39.56471009023488,39.32187774096931,34.68189086296031,35.140901231639745,38.58668385786323,38.01684511039007,41.86031005308696,42.49744396265913,45.54004863280413,42.32499258158599,38.00388233061866,42.43592251378539,42.27019639580785,38.62249310138779,39.04120219889404,43.953999724483,40.85857379997632,36.65793927102365,40.488515750375306,43.53629680918168,39.899430806958286,36.63065476452403,32.13596627789742,33.84219462151949,29.239353810115762,29.15693750862495,25.55663557148335,27.791602030324746,24.791142071929762,22.681821156878993,25.901780289149926,28.128873424589088,30.717816038354506,33.08266049319555,31.659733664965984,35.944624698139215,33.619089176925044,31.376729513953425,35.01496698144497,36.094086529368695,35.72936943332889,31.71018523361228,30.673142542489355,32.090524951137795,30.915456626403238,26.19227961907012,29.20418616799793,31.60472398991899,32.44698074644727,33.28790813280871,35.52150238172138],[16.82303267922491,17.9147765966436,21.479382613850714,19.759297578503887,25.365623159373985,23.93820338399413,27.03475664319289,30.064827290094073,28.5238156060495,31.056767860612585,32.80338879599231,34.95492807452923,36.43603790389919,34.1694013936232,38.89993457590909,40.86717073524785,40.13244008391328,44.27391469976049,46.33780919851967,49.25057633709407,52.27696231818983,56.14687185058712,56.73880715584553,55.65355144182847,53.27311782445426,49.19044527392846,47.5217373233593,43.46904765865842,44.42697414421654,43.92235562189662,46.2150645189506,45.76176902103438,48.59984870475811,52.614071749763006,50.93890703539563,49.56175025298263,48.642872604829435,49.56272091878818,49.170748838664764,54.50336130956931,52.11850896009472,53.39909079558286,57.55256515572607,57.65671626771089,59.26638500321945,58.82626312805733,62.66335159930629,61.83692862275518,58.58313459665793,62.56358442088059,63.68935022704544,63.521278133427025,64.34978583804566,59.25011089144142,62.73064530448617,66.35599486797629,62.9257102750956,61.14589727536764,65.89822723818122,66.71014204993077,62.278294958320465,63.39400753356208,61.04559855164098,62.43862806693941,60.57684521839887,56.99711899201546,53.64366196638989,50.58129111878236,47.57859438603321,44.89491216115461,43.93165537134869,45.478442983329685,47.72215485612559,51.66550784869654,51.169751296982746,57.345774499580116,56.80138155609307,59.31795760610246,58.69131160508209,60.0577207959069,57.8939609658931,57.36255172331872,54.22148573765911,55.765147541103964,53.72211102589072,51.64485122338361,53.59566620720875,54.03671138362774,53.739948428444116,56.076237490341974,53.494132758901706,55.691116776327476,52.02527304656588,49.739367438998855,45.14713917978833,44.52744267524525,40.32512605144123,43.386153738984895,40.76086661376532,41.37364007215672,44.62623216969119,43.22582517491855,46.146144143548554,43.55793149890671,46.48687159888491,41.88212986647667,43.80156074292509,42.910067185325914,38.42012476383881,38.60712117944247,34.02867779798144,35.79708632638583,32.70913988622796,34.03075507777412,34.588739889096026,34.84538611077302,38.15240603835104,39.68914320207336,42.68301805366865,41.02656846516761,37.85137280671909,34.92463599716605,33.05370453380341,31.124419066558392,29.004001286310775,31.59211957758355,29.74989834170754,33.90609511109229,35.90196988355883,40.92291874484631,39.14380891740648,43.07218327842308,44.67610857275241,46.33305376176734,42.465425735427885,39.96646836104179,35.656764327196086,36.4463886633235,35.64612570145364,38.22825931927792,37.90570927221325,42.40180907730664,42.76158530316252,40.673462858132716,44.39387485229988,43.11418590871729,39.975077450494574,39.03749415563857,38.26796200863539,34.92268403872932,35.5586602479127,34.005835669530406,37.6365891845106,35.25116994014427,37.41644768499061,39.36126954784812,38.50298197005339,39.33506292173748,40.937874058420654,40.657376570006065,41.42896337694301,44.404148338323054,42.87589661802683,47.525236308761436,48.0437585004123,44.45159328207027,48.11418607859557,49.463921808962745,47.570671058544846,43.82357977473855,44.88867271021705,42.21163467553338,46.17062264872622,46.19057695198027,47.13019446795169,47.31616665366434,46.40990001207245,50.83670980509173,51.262534595613644,51.363719163696565,50.463222228936495,45.645591277423094,49.383046280607324,51.44752618386759,48.89198889056804,52.50390988956977,52.52299816830434,56.224187972972445,53.71072175401186,54.76727765900664,53.75782333685592,52.50313532518394,50.66398693803664,47.946535950710484,47.44278029852999,46.41584224101754,41.57113532367256,42.294197282615734,38.48923946652969,37.799441739410675,38.64167424487324,37.46905791320315,34.2970374336162,33.44644415286715,35.1193486680967,31.575670562577933,27.761054548247586,30.464710266624138,32.10915791549279,26.154849446443233,25.492454516043573,27.531222771959964,25.40192717947961,21.28200943015929,23.363035128097952,24.027453928019302,28.144817471646984,28.918445708750742,30.79699869486075,33.15020012585041,38.21568019156764,40.254564489848256,43.21313155282064,44.77618960335561,45.02513220324862,48.17883059059952,46.952964594343364,50.824496055670345,48.71998617665379,43.513256886434775,47.06913896059626,49.65257518726162,45.22034819659827,44.135866502168305,47.97071507708876,46.80449697649887,42.33104258941951,43.44689902791933,39.68461960056601,43.38575901057454,45.66792445499702,43.8509694189382,46.299417015688384,47.786545187290265,46.17873571523206,42.543050008021936,42.65069731694645,43.36903939607052,39.43545821522794,37.27449094244537,38.30716547348467,36.31275332566806,33.08826555052093,36.34635773309983,35.95137228535339,31.251421802403442,31.970012118658452,35.490763642838175,35.077594127711734,38.92002910672358,39.54195691347131,42.760444078432826,39.6467581515184,35.30131047489411,39.8322496001611,39.89619503523569,36.28517871191052,36.74043365807696,41.82831606984059,38.97453987093691,34.74318840310231,38.59352728726838,41.84282080124756,38.4333429079867,35.15408641876284,30.57870943015479,32.78030177387262,28.252807659873522,27.789495783274326,23.938627210859465,25.658486687300833,22.282448575522515,20.788977674715415,24.0778902799162,26.69237219627946,29.072621717764388,31.029606821644695,29.31618822562185,33.55514198316751,31.105581653910175,28.443498719560065,31.933168403185377,32.85060230470459,32.36164775830283,28.51313072816641,27.300262848429472,28.53657034716307,27.555590215939244,22.690527658861797,25.537095118004217,27.9367320047154,28.839425464466967,29.720428365080846,31.962755962057628],[19.53784459936492,21.288887968560815,25.39197769818169,23.83095089772351,29.397349557007797,27.05726028688964,30.10187750865563,32.52419933998438,30.62826600929151,33.40541384797758,34.607374257835275,36.46313458601187,38.70322130678249,36.36310517358798,40.743037656175055,42.918166980471106,42.71769016574681,46.78871921612757,49.165901820943134,52.16635881469539,55.25296072093587,59.290014182015895,59.934204610471426,59.1136450331144,56.75307898734188,52.538078105505264,50.86594968617338,46.677211540331506,47.235582739261,46.43768669382715,48.12260607994992,47.7058328548827,50.11685751813018,54.26720603792998,53.00583089295698,51.96860670905913,51.17124242135416,52.59597510132065,52.53844873089334,58.04383219100551,55.821492423162475,56.75628772292303,60.91253183032409,61.322650125370515,63.03655109539661,62.848844911199556,66.6592859966086,65.64367009887562,62.61326322665148,66.69652606333116,67.53668417733554,67.34059406649672,67.93690956248105,62.82780711265428,65.9386338590629,69.6689859263084,66.30905448818902,64.17403022964649,68.85073709570173,69.95511639777723,65.3587950230645,66.09221885129557,63.48870412781362,64.94070420507519,63.429050910568016,59.774247790038345,56.24177948531318,52.97431297031912,49.97201130929419,46.9389897978065,46.06996962211752,47.30601629983727,49.477768335376744,53.70519126960881,53.12413596828237,59.16865159359923,59.03610227475992,61.26509337715596,60.967375231062974,62.67205216060379,60.524986383895374,60.36990688249471,57.013460563848355,58.895749326984756,57.11782781882809,54.71554769360724,56.55259369201131,56.56769219085664,56.24546021520115,58.04661719003509,55.38776327865267,57.243819416278996,53.44959977961525,51.02914913474865,46.6004832144844,45.54788371777687,41.53721908093732,44.69965034065886,42.15143194041275,42.441308659081734,46.33550911623444,45.14256395386582,48.476038777747874,46.14290561102239,49.62428178563726,45.15806879431822,47.04140859525926,46.53732014901081,42.06548322485176,41.86623714502848,37.40140220968478,39.24194455993336,35.87723866086166,37.53917849888287,37.69715507308782,38.33313305418191,41.42946756790721,43.22477387076846,45.82630762052279,43.833661394671246,40.70645281282312,37.759036763749464,36.468350200795,34.54629505525871,32.362342506356896,35.49393403649781,33.444049528296425,37.794308959261016,39.85439208116233,44.75765250995826,43.43601579461976,47.19327378972144,49.04316555507555,50.32774035534917,46.78823783813798,44.09013528969298,40.128968097735374,40.84573425557915,40.05653673801965,42.36973030182987,42.1862926042603,46.66371205589279,46.64711224835845,44.494489420683,48.12246009614108,46.48684136734871,43.43815145131088,42.14229603568529,41.34880664952266,37.655575389846504,38.1345914551951,35.91857954004594,39.24092300439178,36.08261225575006,38.33836832251878,40.84136958685432,40.39788435221526,41.59599205966347,43.36814494705496,43.63871428507751,44.935389168992785,47.68587133927598,46.71049938248692,51.23366193337234,52.19903699884275,48.94602082471269,52.63635088649045,54.22867633249633,52.40294298274574,48.58256548669193,49.45697014091167,46.557006983166275,50.238460124807,49.957573264183665,50.555285457199886,50.43650773364339,49.21592924562501,53.58272387533094,54.43078786594498,54.632210059053754,54.16829170361592,49.263223044437254,53.33842925586646,55.622829724683626,53.14723685215644,56.58720199533989,56.47745904087033,60.364424249401495,58.12668826369879,59.2682548322048,58.445471013170796,57.032972442767985,55.364074414242026,52.617851049282734,52.07371475823564,51.10298654272012,46.21926924704098,46.71174502702459,42.84389876784993,41.77047463631383,42.44752688360748,40.8652029979184,37.92532382462656,37.319303872935734,38.50695794966628,34.76240053255948,31.63444780909001,33.96013939509055,34.81911130320758,29.129965227140957,28.668854159875192,30.11822189879952,27.594226075893705,24.06372371589983,26.004302148928318,27.336558260374773,30.726805273194614,32.65153446192127,34.305070964844056,36.17264127117419,41.387016575234625,43.01526592097112,46.27580607177584,47.69385331028636,48.226747868075684,51.36505002465038,50.2011824536505,54.302395903669364,52.28460002068886,47.234084807301365,50.83046834978237,53.65227797683562,49.36045091974249,48.31860962216896,52.258656614564195,51.31967340562845,46.87742981148447,48.0569375807097,43.993362764029264,47.39604137269668,49.48769261911266,47.281049379448696,49.46677165058389,50.52573309982458,48.91928750869991,45.64284863303422,45.297970533866994,45.64873753544116,41.991248576028056,39.92324309793728,40.33435416450002,38.114566284022295,35.290682514220926,38.33699458353911,37.39724762478109,32.69439652004303,33.81464871178932,37.20082060067342,37.32920703729157,41.29403093643302,42.23860679949109,45.61569341193812,42.378722591952815,38.39717877389151,43.1613081703061,43.27422122591643,39.74156833514467,40.59834687424861,45.66117780961611,42.85490347141629,38.90767607795185,42.93121086259204,46.094622846888804,42.76201829193547,39.67020393897174,35.16501340287312,37.44462045281192,33.06409499705244,32.042548386181885,28.453649582252083,29.820447769538713,26.260640003377336,25.462921450387537,28.839911537538548,31.657024833038744,33.97932454361811,35.513293712134825,33.65583791101461,37.79888057807961,35.20286182824921,31.93361199526121,35.06470305399465,35.549558664070496,34.726741339681304,31.435603110090376,29.737090647732483,30.342236782701075,29.917077376575612,24.765298306612365,26.735876692347876,29.03362017758988,29.924048882991425,30.591102798060987,32.53048496822636],[19.839003811929548,21.78383347160432,25.94904438856875,24.192260459327965,29.594456758384542,26.41347728653037,29.252309230776106,31.162278818060344,28.979052350671488,31.887142895070046,32.67830256220994,34.28106761825945,37.034920109019126,34.72761624398391,38.79256391545952,41.05963791059181,41.28735584293066,45.300210788948384,47.982198480383694,50.95676569319097,54.12638098298424,58.243494537799656,58.99522696401216,58.442728627500536,56.03868429696844,51.75638245557531,50.01739089605766,45.737123151460594,45.9280117382282,44.87433548862048,46.13596792000874,45.703692470263675,47.80618069300533,52.03060775922572,51.056745912982066,50.29230003083261,49.57066763093522,51.404478844948684,51.6311512243236,57.24698105275108,55.21742389978629,55.855772343577854,59.97115773883692,60.668927049964275,62.515707360901054,62.585223691785714,66.35376265372382,65.1131227224401,62.30498086424004,66.4659234660982,66.99295342829352,66.76563696840313,67.13024932803778,62.04801218269746,64.79916237019172,68.61262206645985,65.35326078113278,62.909696764306446,67.49933792460702,68.87126302495683,64.18013350579936,64.6162659163389,61.815541063852066,63.37822222304813,62.129885055733304,58.393679621023615,54.824689262774505,51.38068646455092,48.49355865571987,45.200424972175384,44.492414777251035,45.59004900590026,47.57463652644962,51.97265832557429,51.223841175743445,57.13736243746304,57.2431043147537,59.22690628202877,59.14453252434738,61.08713886804462,58.945886578772594,59.09192514828371,55.58951244681708,57.7509324399585,56.20003486386458,53.52520848806957,55.26402109573739,54.932330652155095,54.61954244791443,56.00833110833779,53.345335240511986,54.995368249770486,51.129124265152264,48.604115109234506,44.30974522819058,43.01048288132769,39.15428746266583,42.30204696106748,39.82421960873541,39.94216972108245,44.1953230045223,43.230463572519355,46.7850826507754,44.74318851002202,48.66350683375085,44.37553200463001,46.34487406718163,46.23589811945281,41.85552862406312,41.22912253930374,36.8665966629714,38.60377634318098,34.998683960950935,36.90351835790484,36.720888394902055,37.708548752769254,40.61638571788799,42.72572967223916,44.99303046400385,42.66460892413833,39.656945397639895,36.6729910909508,35.90284705265438,33.935891905122126,31.68620935128175,35.25832244149567,33.118537809389366,37.582190689663456,39.75482599680909,44.52240907449372,43.75818307932263,47.39048343893592,49.36332706927645,50.22732356246643,46.973909177663884,44.02873548776471,40.520414748364004,41.06482268085341,40.286557204419275,42.288191024084384,42.33279986039589,46.7920854071501,46.37427762968398,44.125046743634336,47.61823867245799,45.6416982953168,42.69842428415494,41.09126754096125,40.29874920885486,36.3754247354493,36.80175262841634,34.108688651693924,37.2645766751881,33.65734044653772,35.83593683478561,38.66012893657163,38.460934599818785,39.95665514671069,41.77828085975003,42.524919921346275,44.22283964552601,46.730808367583194,46.27616344837774,50.63865844666004,52.04951202023384,49.20112496442336,52.8873690223286,54.77150986270246,53.04989835098538,49.1526753938669,49.798228861155025,46.654579537263345,50.010983319042744,49.44306165533616,49.71893012909723,49.36281385725223,47.861502842934236,52.18245549740148,53.34771299633534,53.667524980454274,53.57707851148566,48.678713104216435,53.07277950024367,55.55824427343982,53.14605097491419,56.3404862550862,56.08707655818993,60.135032586586135,58.22204116795487,59.45795009489362,58.87870742244576,57.301332470288,55.898134907467,53.179596071123186,52.67759189697857,51.904455902984715,46.98032127943101,47.363084356116296,43.58182743021699,42.064302381138795,42.8770677475262,40.86016429585558,38.01220143347147,37.90873993888756,38.849479188447795,34.812244726384804,32.34093347396477,34.66200321438629,34.89903767165759,29.344534880513944,29.358901690411653,30.59237681557325,27.545766220790657,24.613075664444104,26.9559716965219,28.596513875326625,31.741192505312547,34.422204166335725,35.58267790335108,37.269966723350485,42.57825357922853,44.2245999793266,47.4446589751324,48.44312822298327,48.93129906536543,51.882627139553655,50.487868574237034,54.80556656454566,53.08777430041348,47.964707803524746,51.40538754022948,54.58810592361134,50.478740170702764,49.23632459182053,53.15240007675135,52.66810191115487,48.26734332250262,49.110802432216815,44.902673628769215,47.79497786548487,49.84620521862169,47.469075198466356,49.30501686928026,50.17169215180726,48.33118238297169,45.389131918802875,44.976265093098235,44.897670114524956,41.31441942638986,39.58979329728578,39.6604817322692,37.20770268588723,34.789187291804794,37.9600413076365,36.66683959729891,31.934488924996646,33.63047594952971,37.05593990982824,37.51240312764574,41.39968210752299,42.283029664015366,45.91240703651712,42.90129143162074,38.944483243595805,43.740224977079535,44.208791329330914,40.788160113901505,41.60439023789084,46.843944195545134,44.39483224855532,40.42727814073922,44.342158888305015,47.75189795586644,44.718582660739486,41.61762790571161,37.08832578641803,39.81714173692612,35.55013551262421,34.308077074465146,30.511328502902405,31.28875104862373,27.354807483561647,27.23886166400499,30.508838284516557,33.63460134661838,35.624876849077246,36.764488618049135,34.41514535124434,38.34297890042869,35.430753386659475,31.9094561146079,34.62986646527255,34.937076213180646,33.63466641142906,30.811769893311105,29.078841865079713,29.06834015991108,28.74941518410575,23.71181372337897,25.159813465652807,27.150823854011016,27.855486538317496,28.289813894735758,30.02434410982988],[21.323983916718653,23.661059717939832,28.254172553108152,27.388687008545922,32.779789306434225,30.145042099582,33.3819211631929,35.304446447940805,33.57471351881968,36.74583274836362,37.6836856233732,39.08157003981875,41.89679176573902,39.833188466390716,43.93779941790322,46.07774453440652,46.313842051278044,50.436871914522555,53.15816132767713,56.026266591080436,59.26201134222256,63.29566877320168,64.10107624582893,63.466966322598836,60.99047692010437,56.77001154647542,54.926893515745085,50.66326644812699,50.89050243504328,49.737717237444016,51.25696201468253,50.54925032647495,52.68988753669754,57.018865447766125,55.96983615927884,55.27589854104243,54.32469423262653,56.2180649861792,56.31753908372182,61.76358569554466,59.86656628341855,60.727943851414395,64.79940795642814,65.41320790774974,67.30672708440473,67.24162847954766,71.03165471052048,69.81355283100042,66.8196166076707,70.8704981289907,71.50434521365793,71.16261013912843,71.64903164244176,66.5851820661515,69.3914278540825,73.31236773503868,70.13614468970007,67.7513916692371,72.3655557298917,73.76688159635793,69.1825944458725,69.74340890674347,66.95574689502388,68.63263921062952,67.2891264871598,63.4979501084613,60.07365659788319,56.61180587564529,53.80826617866072,50.53697639626633,49.868539893780515,51.03886098128596,52.985700672988166,57.36638016919908,56.52546506309738,62.44010182985265,62.42818901098995,64.36693045266476,64.17853335373253,66.0336986905408,63.7118588684089,63.70589970261617,60.057100269090675,62.04776162249462,60.558894875030624,58.08363560978922,60.05183921853526,59.69021420807891,59.61493032537238,61.010307661373936,58.48726786373353,60.229647358457406,56.34432552795949,53.71921963346322,49.418573623044644,48.17091539086966,44.317045006897025,47.205740943081594,44.56904963037552,44.303500921823954,48.71917447728912,47.319905967249866,51.08351770576412,48.65645225061681,52.40500351297357,48.00631423344268,49.583657893975484,49.26006980481545,44.78824391941813,44.47513762803618,40.245613624025346,42.4541802595217,39.150726080609225,41.23041482882111,41.44939795111039,42.42453188774838,45.51427605178464,47.65275762049072,50.1054308590789,47.808285913419205,44.81094699367817,41.76321586149665,40.79244781924779,38.688417267396396,36.25067548546424,39.43529807509838,36.87025805805876,41.30206900956677,43.17181492185683,47.89372694059564,46.714341085465506,50.20257803429179,52.40810165457291,53.48781509451326,50.346801031528926,47.71746031574093,43.87377338730281,44.8548897155103,44.31616538489873,46.564449406954374,46.74153566661268,51.28314431260985,51.07839592014308,48.768792324527574,52.295869365088635,50.35330941500317,47.33097716420316,45.68599778334879,44.64909939448855,40.74311657494832,40.787542539421985,38.23757585419176,41.032327893864995,37.35935916769751,39.96976502629034,42.8311116831948,42.87003781887696,44.07850897338772,46.230166391818116,46.61449615767459,48.417372586698185,51.24288968387916,50.66539709602441,55.063789210748446,56.337890127611054,53.29052503786972,56.814522563795,58.59982169030238,56.62790487485746,52.84237859023721,53.500946903017606,50.61454762936591,54.10387945792026,53.56507988438306,53.95783514778898,53.5030901646787,52.28222096999143,56.380083970520765,57.61228070840924,57.711679354607334,57.63687180209096,52.500059558238945,56.68572495187302,59.12404917898193,56.8346106547529,60.36198700466445,60.38186925031471,64.32238502287998,62.366094372049986,63.33012275780504,62.54215789443029,60.89232030886928,59.20613091507033,56.335098582522974,55.598519691921915,54.486528419980374,49.62518592346588,49.75404371843999,45.73739044036579,44.46305263192841,44.703524664285446,42.91696892627627,40.33969642751618,39.64971718451885,40.284325408528275,36.60157715408457,34.02138764625812,35.73832320683342,35.954964067493805,30.73584979019782,30.214341240834667,30.995200498861788,28.444662982974354,25.434819621310375,26.868982202677515,28.779381987064532,31.293654390555073,34.216142965136214,35.753383484505065,37.05755758939322,42.30309881035464,43.398055823119435,46.98986501024782,48.40587586848374,49.322345889888226,52.507653605395035,51.60557464586923,55.82724414842572,53.75616520022641,49.04260828119141,52.76644661084276,55.65776469675224,51.5023708137616,50.679417587499294,54.7696597351292,53.88066718505139,49.50496894309474,51.03288821293392,46.62534287231201,49.9413906324228,51.7155319027549,49.07785346953207,51.14634687679176,51.717402379631274,50.37435840508695,47.37604275856286,46.42015118307617,46.63289126798786,43.39721560329871,41.177754625016796,41.00749512954668,38.75016739232947,36.19953622248163,38.76563410784055,37.42002086343337,32.89750444810595,34.05416954927925,37.14336718706134,37.730554864709944,41.80385644185492,43.19453802191564,46.5436583646174,43.066139716122215,39.62354385539191,44.58389453807186,44.544978821720306,41.11962624414656,42.52719282942142,47.37019734933186,44.498588869497745,41.00511551989566,45.27138955575439,48.151261649745685,44.84288398744759,42.05435335018708,37.726780160181846,39.933384986821444,35.7949866700118,34.11576539916176,31.01687405742049,32.1507398004959,28.707774528781822,28.474009765830612,31.945090493487125,34.83107537770309,37.2221634858988,38.31015239189123,36.69933000963284,40.80528439632505,38.415319912873834,34.4344510793936,37.3489317200341,37.31198026479259,36.62315353709819,33.76927399233224,31.394197904492238,31.735207158161327,32.17982434855489,26.794656928841103,27.90205780099367,30.273541716819114,31.412243506983103,32.06996435261752,33.792041836235406],[15.856278133135406,18.3653320332219,23.106786223329262,22.66199186439129,27.819282309098824,25.105439074274795,28.56973216914318,30.309846569269848,29.038668164091316,32.57919426968571,33.695455775182985,34.770004722635655,37.63848266645593,36.07752255560478,40.18702403450822,42.040855125140936,42.39757907554067,46.71449739396659,49.72917612379975,52.25571998768566,55.714773703022345,59.56478097646169,60.629053715311734,60.08967053097728,57.35101370552015,53.24566883862262,51.077793924856415,46.806401473682946,46.86160147708682,45.442936092483,47.395001997069684,46.19865927454865,48.4677125856427,52.920021265126046,51.68942150178809,51.13277261248986,49.830298475197885,51.93596326068247,51.98935457543532,57.22530559506761,55.69420556208231,56.72377659296678,60.66161423668792,61.34390269496896,63.450347843881936,63.41706591576903,67.17348917801498,65.74729131667463,62.68045364443866,66.60776993640323,67.10702649858897,66.58445810236312,67.08370160862387,62.079057452641884,64.75400808290735,68.84921392756145,65.88111028998621,63.43060937031342,68.03070992406354,69.61380370430805,65.20706689338869,65.88717681957715,63.08142648188108,65.09019845658806,63.625894201735825,59.665486774448205,56.642925793426585,53.05323062687471,50.62585391085086,47.33110674996759,46.943562942438206,48.460586702147666,50.04616932016083,54.35276284478693,53.11351180583467,59.018081246474935,58.66288410081325,60.488964795175136,60.073964025148676,61.79440649426362,59.19652225174087,59.06106611567476,55.20951186036563,57.089663481756034,55.75926400633593,53.41715661366972,55.66521391716993,55.16887835307123,55.477787035562585,56.86965304843962,54.6393117797736,56.66527836312284,52.76779836046679,49.96905850761334,45.60830016523639,44.62480741469228,40.70502842851171,43.076768378857246,40.19616720883987,39.612628700108914,44.006646008394426,42.19117884998407,46.0839192562345,43.37650174199855,47.07098941195521,42.674047010644195,44.045260626187506,43.77248355018417,39.32184466345175,38.984526967186405,34.89625532513104,37.38557250077174,34.278462284305625,36.67961989793641,37.26558494882721,38.494220361699696,41.757692322651245,44.33840016530069,46.89998681663452,44.348717343960985,41.537422520655596,38.28934509514939,37.359792241209796,34.89360272649887,32.07926745787574,35.02430532552179,31.945441800856095,36.38330226947082,38.06615629353923,42.64490822133808,41.573084356621074,44.88086910018098,47.29673910398157,48.22218847087772,45.37241194736066,42.83833019394285,39.10499860135059,40.36120869140413,40.15056881968566,42.38630860978321,43.109190955831316,47.774948813779645,47.462922164341485,44.90363770735334,48.31920198875086,46.14995013588516,43.097727416099154,41.209313150258595,39.868327685793986,35.93519939386847,35.61425928123473,33.181898560921056,35.75389520770788,32.244498399261715,35.13920906030425,37.85393502077375,38.036564988501496,38.965634163685884,41.41369578360878,41.53488630998656,43.5998627521952,46.65747287459553,46.27529092921277,50.569061656189255,52.02970384376405,49.16523518694453,52.436834601735725,54.44415491678816,52.29057047739841,48.562547176297485,48.96772477791453,46.146847427460095,49.47504424428729,48.75907734260928,49.092203702373254,48.444695447279265,47.430011855750905,51.28692276695968,52.65415693748729,52.58837275635848,52.70074657898846,47.372254556335506,51.55553993044072,54.0799470893717,51.9551041113026,55.61144027573371,55.843805631149756,59.765707940284614,58.10743187118278,58.80961837279463,58.04223375699211,56.152764442257514,54.46377926183852,51.49917916398888,50.63571379771879,49.499952070577564,44.64673698388689,44.55842826096931,40.53419295989577,39.05174752751926,39.21418135300489,37.27176840271701,34.81132126255066,34.257363645537204,34.71783820740044,30.96204766349677,28.72355948532159,30.355538161770312,30.30549295978207,25.15737981632832,24.851033048147418,25.57691567995351,22.807893307728946,20.03094543486171,21.789455427606338,23.823706696332174,26.322644053646307,29.678063621596706,30.775334197089,32.04011180573303,37.342611142937216,38.64551125885932,42.07038944912287,43.175813708435356,43.97108218058073,47.031824298262464,45.993959445409494,50.304441306158125,48.40478636483446,43.63952220168072,47.282177471699505,50.36539031866237,46.33637487087437,45.415334365613184,49.52185933937792,48.91210876134363,44.5781103618305,45.986074927540024,41.41799273708074,44.49063650963238,46.17835858278641,43.440368552008906,45.40023260012847,45.92244263992702,44.55301503676481,41.62330364955012,40.63666369006376,40.79225342118154,37.579255346046665,35.397497373013636,35.20857746336067,32.9405915242885,30.412461437242545,33.06866662561295,31.74088103257494,27.170037531009793,28.466921085185355,31.66250178716531,32.25160785955811,36.258115252373784,37.53672860564494,40.99675136039193,37.692626819340305,34.16753747210134,39.118911608220905,39.31432873071483,35.958953773920356,37.301788031598186,42.26141336268205,39.69579453369698,36.164966044431814,40.34381307653644,43.41501154207391,40.40171379124515,37.60831857269756,33.28726033754052,35.96310759107304,32.00822174419294,30.067725836098735,26.759259968840638,27.32418441591933,23.667620198846368,24.06607144034371,27.446443531876284,30.597724926196104,32.72063059816471,33.379263016283424,31.6216742227704,35.603559512283375,33.280105875110145,28.961047044648517,31.739941155016936,31.56527984582883,30.981956478688236,28.221794637119878,25.664861235820613,26.037478124589374,26.768533314055908,21.36817021163224,22.40036493777263,24.818897380510514,26.16304730710736,26.96898098552022,28.816029092892343],[17.72369987055008,20.155949506450607,24.913922833275304,24.873819394327075,30.11847354259564,28.193683833432182,31.83762218419427,33.929561544333666,32.882655149715845,36.321693625907955,37.68450884135707,38.92458744443872,41.47921292523633,39.85870998089875,44.161128564635234,45.98468417876387,46.05460543742263,50.39164294320176,53.160363411762724,55.74312715370619,59.12093747191619,62.9299558285,63.89309794749913,63.14038656440241,60.456566693833786,56.393852356451085,54.306366893009816,50.10421338215246,50.438037914556546,49.207734271984265,51.40382578291367,50.24155967507508,52.682583299723085,57.09099981560261,55.69837570368895,54.964473735122105,53.61599615933262,55.4379666439013,55.27728224164408,60.419169940661305,58.742481698693204,59.99278277346909,63.96163957393979,64.41927322153977,66.40745888763078,66.15358200094394,69.94574375978114,68.72042622685689,65.4665559449479,69.31764554842805,70.08270567400547,69.58028803873597,70.26308755951436,65.25110134226804,68.19681224271685,72.23415760641298,69.19121013318458,66.97504149720017,71.63588602063298,73.01524962268608,68.6809099057606,69.5650348356136,66.89382232970713,68.79675112984626,67.16527819468116,63.278591195376755,60.23979028330408,56.78374879987815,54.22970974884492,51.10772839784887,50.57113690511648,52.113524720299715,53.88390193711897,58.098033219202705,57.02348623676539,63.010969501963416,62.54365148985719,64.53075409945514,63.99556285402845,65.56378793397165,62.96253158085774,62.610887441274656,58.85308979301821,60.51400668939825,59.03031929145668,56.909550558039335,59.234000519726905,58.976772904369355,59.27508619489243,60.92685960511211,58.682627025084095,60.804311716384824,56.946675279542575,54.21930981029835,49.78890995912104,48.908607575129274,44.91311381136314,47.335470382543384,44.42451777480633,43.90206577331046,48.1181860159602,46.11555922984716,49.89611490664495,46.94276937340472,50.28936851494218,45.75103117703666,46.9673677649901,46.34362622205498,41.8108495987991,41.88134186551526,37.771243237761865,40.42263744627968,37.548685796492066,39.77448922089756,40.6226867312556,41.56867764495459,44.95865406679789,47.25479845714469,50.04798688479268,47.77445439995445,44.857981369839266,41.66301710283898,40.34662724170176,37.956130583867534,35.2200971606484,37.79667357712941,34.759190839054426,39.07530703255931,40.60382036127368,45.25899210185043,43.6477451063799,47.00060074002505,49.375051339005786,50.684488271278965,47.645092405522306,45.386094971858114,41.22167055441917,42.695213955177366,42.49999500663369,44.99886123482056,45.50468426079868,50.18939193196845,50.22365442518427,47.758901945866285,51.28597091542167,49.395568781089814,46.26604314005884,44.61777047990817,43.26766883001448,39.50859894589864,39.176642199400455,37.076578456675186,39.673633067904966,36.41034745123865,39.404322128711755,41.95706409314319,42.02951605578078,42.73766772670347,45.18792643904828,44.94128083749341,46.723957358862904,49.98536944272868,49.1909936447928,53.60840716708941,54.6954369029691,51.47311625850586,54.72763383673834,56.460433754417814,54.187323923474466,50.553228101140256,51.160224628619176,48.590900267954396,52.19467340465166,51.71082265277173,52.3021579870404,51.81365125221702,51.0340527968174,54.88282309331537,56.03961109159465,55.85400825133563,55.69350407339769,50.332491121218766,54.21756595165489,56.5682450500993,54.42183128889251,58.32021760836004,58.70199290835527,62.479915457950476,60.53961561654699,61.12567054495559,60.117040214108286,58.359839703545354,56.4023886551392,53.39026395647249,52.43513457833948,51.04488197867487,46.26605784070205,46.18787916323741,42.02337461255055,40.98030807153021,40.83926946497451,39.32457235933949,36.90184082498164,35.745283198062324,36.28115160560378,32.91098250178967,30.12893246550107,31.50910732971117,31.94262755135419,26.871502296439292,25.958195485047632,26.644222205353156,24.543607772898223,21.29297524310134,22.24689888911153,24.144452868862437,26.5150772036467,29.339125099668355,31.04184738934289,32.26957845650886,37.45190322719915,38.46361565891987,42.11143235088225,43.74366954566029,44.76808667194041,48.076019188845464,47.42672395360205,51.520752069734975,49.24199452120794,44.71389353105176,48.58669859477961,51.26126096538995,47.071967513029634,46.48317760561938,50.6554352986301,49.52530831627851,45.18029912065537,47.11772644308422,42.6139682891788,46.240256670936404,47.84776166316243,45.14993450115104,47.45590923896158,48.00119931251723,46.99203654027019,43.816277129369716,42.67244147977275,43.24671979671816,40.131189156647636,37.52689287892568,37.483426193489024,35.46996145395204,32.626889884943374,34.9139942408849,33.82317314037229,29.41365890134481,30.03247502874516,33.01701286164031,33.418860620105306,37.55045566512986,39.09646433220143,42.227483563218335,38.55002075047362,35.25401547610022,40.23194055859106,39.9173811389566,36.47779099747638,38.11063512052768,42.7408294578776,39.69125962070464,36.39820732736905,40.80832880229461,43.43461613082968,40.045798761003184,37.4054940824997,33.20565125570939,35.24223509509165,31.243090777144282,29.29528779747114,26.518145726047692,27.762211076361517,24.664316232294194,24.42154970855818,27.948224407095605,30.709635373231148,33.26795773444213,34.251854042763064,33.17689308258061,37.38152987931228,35.47032871253526,31.236287204143647,34.37517569232508,34.2097215153901,34.16563598840066,31.098087757736003,28.374415670942298,29.281494500865072,30.1474720220586,24.563743699168338,25.79750240697146,28.582998668100558,30.09481943547718,31.09928194038825,33.024504837532135],[16.06690232040829,18.338179249734864,23.010889496738482,23.3817523949621,28.527831736080035,27.267107077271728,31.086176908447754,33.44494977632257,32.78086650403226,36.21682550507363,37.90429437931843,39.193678503642516,41.38981006397684,39.943836996301975,44.42337819615226,46.0691595401996,45.88960885521172,50.30923910243235,52.964946466108465,55.42125645245519,58.80951188709671,62.474647621933705,63.45866621298654,62.56023952635905,59.81660294281979,55.86621609465185,53.710531781635865,49.596354070266045,50.116661134585996,48.97244581255156,51.60462321771311,50.286155670338395,52.975239520738555,57.35324522655182,55.70119153771096,54.82989669400459,53.30668490634265,54.90910607839036,54.529808425651744,59.48316074937179,57.819394328095655,59.34372147167323,63.271866079281665,63.548759345602214,65.52033421162702,65.09472917989285,68.8921497882105,67.74964144425122,64.3125164294237,68.0469759645581,68.98226675965023,68.42884455459176,69.28584022349017,64.29291205579375,67.43427528432781,71.46768513688741,68.44666666765387,66.43224212900093,71.13360605391105,72.39098636100438,68.20266351032599,69.33903991129371,66.80731974266968,68.75080141939723,66.89667019012592,63.016837793637464,60.168151793879495,56.800045259098205,54.31894450251186,51.380133019002784,50.841199070936156,52.59516487657373,54.3499713480912,58.40526563134117,57.30254429815372,63.34910913932339,62.59650586320018,64.70510152467833,63.93908080504926,65.28349004910633,62.58540574167516,61.97071462248555,58.258040224429855,59.664903520694345,58.0850605558577,56.224574124481585,58.714419275821314,58.65414014229866,59.08744658991533,61.019612408532254,58.89303019809435,61.247985294019024,57.451000826766695,54.74684032272506,50.225589649617504,49.60900689181552,45.507959634686515,47.75034246259169,44.72750576690928,44.22943094864797,48.14757730783056,45.85182342444009,49.488911953945546,46.24008998708083,49.214814280699265,44.57571106711696,45.63148815045401,44.7257710476536,40.16699056482275,40.56134503063732,36.47615815350534,39.29469585296339,36.71137911012895,38.864560760077744,40.090924895126996,40.88219106496917,44.440263083902536,46.6767349110684,49.72057797709377,47.59177186063837,44.686015218258554,41.468217958582414,39.830270817664406,37.35437149783499,34.54880832817398,36.675448353080384,33.52220080830377,37.70266349358515,39.04398457977946,43.701693316731586,41.70547420567,45.05334467059589,47.41212736762015,48.97967286897658,45.8632864334376,43.851830819960206,39.42325439959613,41.137931014574676,41.08411074933466,43.79444149588292,44.364388910919615,49.066278698322655,49.34181071386265,46.863338682755966,50.41579769965773,48.68940387429925,45.4966028644501,43.987912768822966,42.530095253410316,38.96299162315675,38.53659756318882,36.851851080174235,39.469227226601824,36.63411631352734,39.73380953933598,41.977585334764505,41.92034203577669,42.30765163652573,44.80832669417793,44.119496329011675,45.69717812709853,49.20333903587929,48.11703339781205,52.57959464833173,53.411580059314346,49.986090000114494,53.1140004089313,54.712445829771795,52.29240336224733,48.76444008923006,49.43138793728496,47.09292466023371,50.848182084992715,50.50704079044764,51.307886191975804,50.92091175034985,50.43008117734836,54.19867198782396,55.16827567242755,54.83193026318933,54.470105843320944,49.05775398890548,52.67625696174212,54.89850423504614,52.7854479326825,56.90340113431031,57.47825689720564,61.1076646984334,59.06064768938606,59.4658856936138,58.29071482938071,56.55557119525635,54.4035203366854,51.3418612307974,50.297083504508315,48.73729771422733,44.01895013898902,43.926872640936345,39.710451212645154,38.95212789550927,38.64698390197545,37.44343228300538,35.02680284412617,33.50164650800735,34.151875023637196,31.047138637277357,27.884319168970578,29.179600518231837,30.039297201694463,24.966723811748473,23.707196714529097,24.537750957315303,22.886203467759472,19.250454839386443,19.87601794681969,21.525304537174822,24.060173965630337,26.361784239461514,28.331631399979777,29.677341483582495,34.77453019654624,35.83554612874956,39.44788744169623,41.31693732934464,42.33653666734435,45.74072634046551,45.24184270954806,49.172020632281715,46.713440821393554,42.26097560068553,46.21788127993433,48.65635986776163,44.384502046148306,43.939683349856125,48.13186970651115,46.735375731610524,42.388151441652035,44.57496448111286,40.13307823424022,44.062794011064014,45.65112157537903,43.059713730950456,45.598122631357754,46.275817024339936,45.45681353214475,42.057876383046874,40.96097947927687,41.86538464144564,38.72478985050502,35.87320083216071,36.11211422545253,34.314346114127304,31.17202082401589,33.3581592166198,32.60092246993701,28.268403228676686,28.41439255354476,31.367801973307294,31.46662498254689,35.60306248052081,37.14879859922933,40.08126493584442,36.29496896281644,32.97885053364533,37.89582937052874,37.359996231518515,33.8692246557257,35.528576662128735,40.01932215377623,36.784942214617054,33.535703815240396,38.002810339812555,40.468786976242576,36.94354701387184,34.344414510572726,30.20511346244197,32.02448238180676,28.04342634061665,26.11163763995223,23.52266151332945,25.03762385367062,22.264945452015663,21.727800405351132,25.274046974664518,27.84358981603971,30.56659932814113,31.660840718698456,30.988983395345283,35.27682061829913,33.6884039366107,29.550525147607942,32.932824645146724,32.85657314583241,33.23896354482919,29.88304825500625,27.16673391833418,28.56928693019248,29.4265715637495,23.878214080978317,25.474562600222875,28.443667667878625,30.11959018992258,31.314847869276203,33.376145189254174],[16.019043788258156,17.812484688958154,22.13749284705398,21.917544618774464,27.254254844780927,26.10671417408512,29.754719970345395,32.41188419748632,31.5279368530677,34.67801263607437,36.45070675115623,38.04582745881571,39.945218382527386,38.24466030996858,42.85624553223059,44.58622213821493,44.166019821830034,48.51366899695533,50.93841874713555,53.53824869756402,56.80386624989384,60.5185878481679,61.36590815962608,60.36379114804519,57.734863290601076,53.75647865428536,51.757617741863676,47.67557280045956,48.39374051980263,47.488570418377655,50.0889728730225,49.03912719217739,51.828498851949135,56.08427647511981,54.37618479951279,53.30212183325638,51.95063940397028,53.27323213044708,52.839364274221204,57.89126311255639,55.97406755994603,57.47530477260484,61.47869642422486,61.653135543166336,63.48713018330824,63.006184185465884,66.82041997016807,65.81883676764407,62.39867018894477,66.18871970686709,67.24708941456015,66.81708084679543,67.71130936263016,62.676104991820765,65.9973798485906,69.88705497860879,66.71565132290637,64.83059770909476,69.56630672807798,70.63588741767614,66.3916424875451,67.57228503826941,65.13131626999893,66.88759884462733,64.98540983433173,61.212290761573556,58.21558282234875,54.969170174829955,52.31174622494869,49.49135675852618,48.799116293410094,50.51266562013367,52.44649026132522,56.43827274170605,55.54773139004341,61.65665734089054,60.928869799909215,63.20588834716432,62.446586414181745,63.75787398634562,61.22232151244858,60.57998359614817,57.06935714610747,58.47132686540766,56.70494447177562,54.825024068290745,57.166890643030484,57.322794020675246,57.528005562891096,59.65719766456413,57.388067751884996,59.729947664501324,55.98289695423291,53.42259961596946,48.85341151180135,48.27286474666791,44.11324413503878,46.61391071579679,43.69930182978607,43.576261221663195,47.234339595742725,45.17969724493802,48.558681446736905,45.46209050621549,48.348682747738465,43.67969279370586,44.99760003140662,44.01591705030828,39.4487747578132,39.86684875295301,35.590771570100216,38.10999173571834,35.411737804041124,37.27208035777821,38.36135885813746,38.9317181679408,42.448967629584864,44.42318078153738,47.509362625689086,45.578281540562315,42.576708093802715,39.44963008640303,37.654143493876795,35.34522392208027,32.74957510488744,34.93415172211975,32.18982996304289,36.34372979527521,37.868144401748886,42.671429947704816,40.63443045642697,44.19239601584088,46.29062361086267,47.96781820464548,44.56194901920066,42.45041724677619,37.956992775015564,39.4353390556981,39.15888670296658,41.87969659385564,42.138757220048504,46.79569493623473,47.169397048319894,44.82027622229566,48.44986013505169,46.9189620312656,43.72212258704873,42.44064347757423,41.19172417704648,37.72756505857034,37.63758344002272,36.07148184961008,39.0464755485045,36.42529198624189,39.24001705707059,41.3449030987281,40.99463458082577,41.47286816208597,43.68803508032772,43.04176776220759,44.29930396261812,47.68941202215871,46.37199803168343,50.92375045837881,51.57884370328776,48.02534116299819,51.31740352743757,52.78524347538561,50.50258869379774,46.92209280803516,47.75335399552993,45.35819480054149,49.23880970502714,49.062431095320875,49.966314490011044,49.80133488156259,49.230248199516524,53.21628042365525,53.959332422945515,53.73805182082439,53.13947743628049,47.90506577760469,51.50400519652434,53.64033188891952,51.37393295500107,55.38542791877334,55.81709062671493,59.45502772555378,57.19787500877384,57.77541166422987,56.595318485154195,55.054550659009216,52.93223737397093,49.9683920413756,49.08234971313621,47.648038368919764,42.89880730350624,43.08112663354878,38.960713317992784,38.32017014395075,38.35984159579513,37.25435996169912,34.56451568254621,33.146912626385145,34.19496777297759,30.994378758263007,27.46269620845781,29.232134935661744,30.505223227709816,25.07572567508768,23.90470699987728,25.214870701493773,23.503502949098348,19.53726343248654,20.58659333336911,21.816104015517674,25.002377419524663,26.58124734736383,28.651473466932618,30.408478397039232,35.488022091805504,36.91088958661338,40.299421401649965,42.15039298832026,42.91085467569054,46.279057379246574,45.576694531699665,49.44731194761633,47.044763636447286,42.33639668597191,46.19877403763519,48.61625196722629,44.243730477753786,43.625808030884905,47.6986600737782,46.290259336761856,41.89195298823037,43.80657800902425,39.60090050157378,43.576675585473524,45.40075546387657,43.094186590226364,45.67943195449562,46.66819716079626,45.62866166146316,42.079623658727684,41.402372957035475,42.32908247892529,38.9003844693042,36.20836557014913,36.78747477769914,34.964720021059236,31.708584717984102,34.24841442143163,33.69150053287217,29.229491579400946,29.45874342614625,32.613130724955234,32.45770281039498,36.5141192458211,37.751161818237335,40.736908672502395,37.130424738447395,33.43831822582077,38.228387221558044,37.82027900137963,34.25114866352889,35.51117176304817,40.18108741708105,36.98759103793762,33.39137348374056,37.69249595521323,40.370128625747554,36.81138802494441,33.96743778209224,29.666210380013613,31.51981084594211,27.29855107673884,25.89429464582373,22.903378596880366,24.65456183050909,21.756819469149914,20.730642629913085,24.252523104696486,26.777306266109438,29.4904191390147,30.96199346448979,30.067553208309352,34.400256433975926,32.60752305832199,28.981479581270513,32.47346395709403,32.74596785401263,32.91504235328017,29.333691342062938,27.084832660494296,28.54479304925559,28.805957592006905,23.350895561129352,25.438559789439445,28.35536057382199,29.831168880226997,30.967177795316083,33.11906473795761],[15.080483480426803,16.30152353229538,20.13575520747608,20.276872389482794,25.4115047781813,25.292251337424503,29.024992681599706,32.09228771069966,31.647215554026566,34.63509863970567,36.820779191185544,38.55045853950965,39.87283130937078,38.333241664495134,43.15158557335488,44.66657714707141,43.851369823370355,48.23746637053888,50.41542415016769,52.88260435463441,56.09755287487709,59.62270806702279,60.4441730275399,59.21865529530698,56.56648345397923,52.749994596593694,50.73252345383558,46.80798493145398,47.83491266343943,47.13201302670222,50.25350754860033,49.104165038121835,52.21155315327142,56.36067683603728,54.32095480149609,53.012030372232935,51.50464280118613,52.438104591924315,51.700935152569734,56.510960492769655,54.53056302401722,56.372062911516124,60.32664208737171,60.22792936553951,61.98248234082863,61.25522935096951,65.07480226772192,64.23755851078326,60.594301271489854,64.23725077706285,65.55427627863266,65.11138007571392,66.23097191526594,61.241928695114346,64.85843109324986,68.67534458259979,65.49412065091478,63.922785971485716,68.69799189138348,69.5367237818352,65.48525396933285,67.00077397835213,64.77982456161655,66.5157641735114,64.32010782189823,60.612938633743376,57.82612513011987,54.75612646602682,52.15010502655859,49.625563891803225,48.88531034115536,50.83702508906173,52.79308567413908,56.535506830066765,55.68794258067487,61.859776176345974,60.7802980294149,63.253813933346386,62.20992283606649,63.219502511349425,60.62987895980278,59.641635705807836,56.28112152069899,57.34359144357176,55.39464274077769,53.86007381854362,56.350165002041514,56.833178494608056,57.13106774801384,59.66728216261401,57.51378037187845,60.130386450165794,56.498226460908356,54.030853093150824,49.36966204234942,49.13109097724974,44.86524309394148,47.1994333428169,44.21178707850633,44.23823151586164,47.40657234452558,45.08325420944146,48.16040531208793,44.76624832005856,47.10987471762361,42.33472635282856,43.529577173445354,42.14815178156511,37.581124949550805,38.44394020242088,34.18706626330603,36.785969283100115,34.47526481581473,36.10110211145148,37.63477394711156,37.90706537806628,41.59420094441294,43.36276740779561,46.77089705782997,45.122346521505,42.13468233393153,39.04885573187223,36.79028488086658,34.46211832854544,31.89479709135907,33.44570532283893,30.746402098034512,34.63743042131815,35.9556854502842,40.773340247302784,38.20202833627757,41.81053675967597,43.76990276539289,45.83533072278453,42.23108783564384,40.44198012750833,35.58188626822164,37.29658835337319,37.12943793847928,40.11942390240185,40.33756581983061,44.97285741437124,45.712742108332314,43.41557346380832,47.07841971959694,45.85182234060812,42.59823939020442,41.59762390561569,40.29736543405468,37.168553840780426,37.07470433572516,36.10642914841899,39.178214372901024,37.18590210949508,40.003969516045174,41.65999603668711,41.05685007801229,41.15247430010645,43.30968441846267,42.109275861784326,42.964795921023615,46.609271607376535,44.82641557104251,49.43861731193526,49.68035149758095,45.82002827254393,48.983052758471395,50.205281561680366,47.782345127004874,44.34798736418934,45.3255546791636,43.24613504778889,47.35570721682054,47.43500176341907,48.64952846842157,48.69904260250451,48.48079704536389,52.40791111161056,52.823678616229266,52.447785091858854,51.50059289359141,46.30012283230162,49.50861249647018,51.42593352077817,49.158819991804066,53.4056740784053,54.04046840426031,57.4584679743263,54.98534622300301,55.380577867361886,53.97142751316394,52.54407990639632,50.183626493115895,47.20578031771492,46.26360557527363,44.65115975446061,40.00290504832684,40.27651749255587,36.146951865881086,35.96161564235124,35.917407192943465,35.29289839356779,32.53368771468193,30.658528294155573,32.02600309294757,29.202568989139525,25.02957834083233,26.86147757136335,28.883236934021788,23.431017498389384,21.835812293703455,23.530957245826947,22.465126822750197,17.98474692869516,18.70738750691294,19.302221712904153,22.961772759587927,23.383592949510934,25.86434155325564,27.954659425454604,32.83534279334958,34.46510411317251,37.67618313456367,39.822075917934946,40.45874688583181,43.914718989576926,43.33631404047854,46.93949292222596,44.33240592129566,39.649706786520674,43.564543964537314,45.63911663710797,41.129910824986304,40.6423395271031,44.67278626044053,42.89614687832019,38.49065893211594,40.62903290840065,36.63943914767966,41.03379835026367,42.91162177982848,40.880499330085264,43.77451434687704,45.04700699457535,44.18096884342019,40.31642925389579,39.86609063065535,41.22061858973104,37.69447279247941,34.772303230016,35.83626778955282,34.30682705390488,30.6844364320042,33.178759020721664,33.126077782821376,28.80513824525975,28.462577083110663,31.58744352247565,30.944908529897198,34.90949887481819,36.0088533753172,38.71857449393153,35.08114580324126,31.25467139738137,35.847288070468906,35.19363523150051,31.55905966928676,32.663775402955366,37.17657888992946,33.76672864439358,30.0998299377869,34.37483095294591,36.90478697039301,33.15533142786817,30.26801082725968,26.00058626357044,27.523766377231055,23.21277939775579,22.144428332446093,19.25462550842237,21.558007657645604,19.170022663667666,17.401910548719215,20.892726545144257,23.058255448583708,26.01086847449329,27.833163730196368,27.446441349690726,31.875940397472494,30.478234403268374,27.2603164377609,31.076038261065523,31.595734199621667,32.270499376494634,28.278418943755653,26.264419126272013,28.360902238066252,28.406330635741156,23.214327484351855,25.846617840924274,28.892634277588055,30.461688386315537,31.79526149011219,34.13100755324898],[14.799999606545349,15.349599037595851,18.499156165271074,18.263259528574427,23.346345812762355,23.757574644057193,27.324180146861682,30.750201793866474,30.35544888743968,33.02950633899081,35.44681148214579,37.42125207527377,38.25646598591759,36.64983566082958,41.60700425765423,43.05734037960789,41.91060432234547,46.243349983057236,48.161542799416296,50.63712643281167,53.7455912718001,57.201601033871285,57.93220341515924,56.55698072233857,53.966240216485694,50.218436283058345,48.2907527743389,44.47468329434574,45.75618685166639,45.30159831755275,48.62766371588914,47.61047395240378,50.91210037409116,54.91065212186125,52.69142706913136,51.15077922036436,49.694701857422594,50.26840395186281,49.370810832487585,54.129468815409545,51.96382419350761,53.92614296564655,57.89380056872248,57.618852630522674,59.257205273540364,58.406155310404074,62.23297107120184,61.5417020239648,57.83148748449084,61.45423852675428,62.932177852411236,62.57149770035878,63.79194447776616,58.8156611748064,62.64504575492306,66.32777407263332,63.060014122489385,61.701512904370226,66.49889327835473,67.12101162054662,63.126816270792304,64.81260498044944,62.75139618131621,64.36328915045748,62.011607583665004,58.40772913589428,55.64257412480697,52.73783821083894,50.071256531140094,47.771781404159114,46.930571502963815,48.97702317980648,51.02231630253457,54.58730627600832,53.88003046305648,60.09405272786757,58.86465704259142,61.522575523183406,60.35628762084691,61.207228038623455,58.7116018231596,57.563585313212194,54.419680041350894,55.337343535379304,53.19130272838273,51.78777207910224,54.23040525036469,54.99482060102516,55.18323855806097,58.01814427444492,55.83870723180913,58.568659295939945,55.03834104862259,52.71698171698385,48.008401280724925,47.96493313356368,43.64101042779947,46.037199352871944,43.109861217771964,43.468055743539765,46.20238779877261,43.95566064186226,46.68976332222854,43.313489738705734,45.35881356938474,40.554792233492414,41.90756540530346,40.339086949563296,35.808130017829605,36.83255606203583,32.48093067873393,34.840810360419674,32.62900157871318,33.924566223614924,35.54859692453281,35.54202166729046,39.25712817322356,40.766081677306865,44.33431652974652,42.93832919530808,39.9230567937154,36.9315702536373,34.376226497444556,32.15577576619635,29.764407906374878,31.05170414142291,28.702319271745555,32.426241707713636,33.79665875763619,38.70004202978372,35.929742683712675,39.71162650592222,41.39866606553907,43.66843340579021,39.78107822669484,38.03436099415991,33.02679349420038,34.63153504552779,34.34768946434531,37.44599599127724,37.46102614658992,42.03161646632293,42.97699529307052,40.79311979067246,44.49610419326173,43.52914249315651,40.26805475172871,39.54734961556436,38.38168519756886,35.5031549059569,35.65947645764655,35.05015830926987,38.39491939606084,36.85328491334521,39.43774235473988,40.77091657606371,39.84858689940942,39.84254608510708,41.747398184886215,40.354343016057875,40.803849044640046,44.447766051174575,42.326694697632675,47.00048896994639,46.961895870557655,42.92038512494145,46.13541275515366,47.18529040135422,44.81816506913991,41.40228683593564,42.542580708761314,40.543256996383334,44.80604914595014,45.09865578258834,46.501420193517994,46.79673544313641,46.66531275921634,50.704569061405095,50.82154749445792,50.47314953650491,49.22311004120688,44.19682792188976,47.23453026518969,49.003119261286685,46.63091581930417,50.86336825273815,51.468852436001924,54.78447213322357,52.10748445745227,52.56422668804432,51.088034580191895,49.82624602121076,47.43975346197564,44.54537370049997,43.719981968378534,42.17312455467413,37.540561776953055,38.08375604641332,34.08071986297919,34.12264161619995,34.37775173527238,33.985316240927006,30.99171699213062,29.115734681750272,30.931491718191545,28.17223884936998,23.540112613958108,25.83060280017096,28.40605637440053,22.747135435658407,21.18176575546533,23.41037374133164,22.488141297121825,17.74015018602996,18.802696262177076,18.76955704046479,23.093723217966854,22.52495563968464,25.07799879718232,27.620305303634133,32.35766664086243,34.40257075829226,37.28172554831491,39.410030606927656,39.73734792161219,43.1255901884499,42.370647450461426,45.830982714633464,43.266893742323134,38.37309316539526,42.168623862180446,44.14424859434571,39.546129207046604,38.91168931770202,42.80453400688118,40.9592398518234,36.52259869240206,38.417703338085566,34.73651304487814,39.228958191348966,41.326883847433535,39.657017599053404,42.64841906711538,44.280827745831566,43.266816555319046,39.20722625713448,39.218239114756926,40.70351918849498,36.92441846916341,34.117592410981096,35.62999239431585,34.18904256497314,30.40855830276682,33.182213857895725,33.460350745348975,29.1380482995404,28.728507280486447,31.98498390607501,30.983507788165625,34.77442461597448,35.512187288088796,38.1778378972801,34.77748102017946,30.59250102680297,34.93893785486069,34.390625319846855,30.722880043309583,31.352896921488885,35.97194211393087,32.64096503851875,28.63491897838513,32.66555601424157,35.394685448139846,31.645734723199578,28.520153528976994,24.13913071165584,25.68917419099248,21.18439813778784,20.793802662088265,17.490028274102393,20.058692343963276,17.73780419195639,15.303759622773056,18.657408942350344,20.670167364615093,23.601470237673382,25.842070969704142,25.374614800605077,29.817427496044118,28.38044376121611,25.801944274275286,29.783880770148446,30.702734488751105,31.40098330359208,27.089774533143043,25.637576172965886,27.985101177689277,27.438320900297338,22.673315222448373,25.86477458405165,28.75896156949159,30.16218774230473,31.50717171675317,33.98188621542202],[16.89743372710076,16.953464216843965,19.38344652232529,18.884633849589278,23.763242527570803,24.765611446751514,28.108718586478037,31.84416289120827,31.459177096296244,33.77551795750596,36.364868557958786,38.590267274201004,38.96994043971289,37.23200550671057,42.29791546047802,43.723591554155064,42.23130241155335,46.4587347663877,48.03545397940987,50.57039700658918,53.51129732757868,56.90627310186274,57.48406890423853,55.90879622211278,53.44692625848899,49.77681379813701,48.015761863814824,44.34423980220843,45.92906800522115,45.77088039476784,49.23160035232245,48.40936523331807,51.868018407599315,55.69884124132378,53.333344846091805,51.54800828303255,50.18682995469374,50.353136749905886,49.277439330671776,53.966489497547485,51.55619911907871,53.64635139987108,57.63355124631658,57.13310561344402,58.59062585746389,57.56583605771572,61.39405600608579,60.92706532681085,57.13948964974818,60.72132672477798,62.431020698519475,62.17787054370003,63.532715382827135,58.576865609784896,62.665712196106476,66.17470327274219,62.79377460099039,61.69769308418674,66.51208654822965,66.86540654636892,62.92707941240052,64.78746297412827,62.907985077360976,64.33023541200033,61.82869209121483,58.374110329396764,55.5747107237523,52.87944751889504,50.08704129021816,48.036531111713494,47.03554054968341,49.09916969268659,51.31153910968814,54.69906556406709,54.21398617696743,60.45892419749141,59.132804354112274,61.99135860148424,60.7316814236863,61.42778757218181,59.06248351532624,57.750473107689665,54.858955699338274,55.61203073705625,53.24863789141439,52.00163590277303,54.36572698788567,55.44155950678501,55.47682487660581,58.61042790666895,56.371734929907305,59.16425152960402,55.74252576368463,53.59091296824223,48.859614879559,48.95416539795919,44.59934546478603,47.119850619939136,44.285420110133934,44.9522234767111,47.30722765822562,45.1555012241532,47.55882414497849,44.20782112021843,45.91987022925591,41.105702665554176,42.56102749300861,40.759167396802084,36.29779077787914,37.546183505354826,33.16013517918429,35.28179018240178,33.20777225552717,34.11614673848038,35.7916562287383,35.437065676525336,39.13175746798301,40.24856663247263,43.968483424853915,42.91609706313314,39.846705093819764,37.013887432139455,34.135323968140845,32.125552042869764,30.011006272270127,31.00473532317638,29.098790938655448,32.57571255403015,33.9550710822307,38.89744627804774,35.82671981246156,39.7431799493845,41.12760917390395,43.6851752312021,39.49929671058482,37.87738604465695,32.68154033027296,34.17814174026281,33.7429915083408,36.968822331128806,36.63643484503568,41.07929591142026,42.32194480563635,40.32924151806358,44.08093801765112,43.45918617949472,40.21015793848178,39.83354383559945,38.83841954517232,36.23985867380639,36.64453114749005,36.363065306935354,39.9171540273128,38.73113047046014,41.112413061131,42.18841526846251,40.98826509843335,40.9001512298898,42.54575743992082,40.96807028167973,40.967181903230234,44.58846030449555,42.05941813493277,46.79299403777548,46.37358986456406,42.071295656378474,45.33834551465202,46.10013861311273,43.79805618927819,40.456992238135605,41.83676684173674,39.996376242414335,44.45395007036553,45.021508937792035,46.649466290807716,47.217758804782775,47.1846716889143,51.32180471260246,51.11790553274402,50.78884298516343,49.19190408459824,44.37873292010144,47.161261743555876,48.72200856777236,46.24729234267347,50.482274856517954,51.06590073063514,54.23089152121244,51.262530608874506,51.77824351835016,50.17354608854718,49.15041544251676,46.6741878065479,43.88115323108386,43.15951967084821,41.608943778954604,37.07433749644587,37.88505583179058,34.01611999008809,34.4226074906082,34.8405563163348,34.79164484874719,31.660835747392532,29.63121774840686,31.814268680344135,29.286383532468943,24.228736257630096,26.743567895948285,29.84764527255037,24.20778131533712,22.528847019914064,25.058832767292706,24.455830191556704,19.579105852898593,20.561870448299857,20.01110429717746,24.621035479060293,23.03895200493925,25.858599728004407,28.68422325439031,33.15846719853122,35.38075652290922,38.04445067836914,40.34794798947803,40.509804324369895,43.89571921997806,43.14494589442124,46.37066886580234,43.72429708892742,38.80254546518473,42.533220728502315,44.24042375421394,39.54998508734168,38.92606592750932,42.67034352468546,40.562296607560334,36.14982344296825,38.009143677587915,34.70370923505504,39.4231348789689,41.66760928155442,40.344217458706524,43.4930885472373,45.40677542567042,44.388042999604814,40.14576683579278,40.47802972283167,42.16125801586732,38.25611397932532,35.465513944511855,37.32655058438103,36.02745890400813,32.11670076252678,34.94698749315092,35.50763880466453,31.280948360952873,30.66669990812326,33.896676555245854,32.603669685377824,36.24807923381466,36.7897455408196,39.27467751126738,35.9724437692056,31.664213012469965,35.744110312219114,35.09478092552698,31.43177482716452,31.763743720260113,36.25656047308893,32.8328354374533,28.713975781685196,32.542125224152265,35.203101301401624,31.329267598888308,28.115018504477263,23.801810852522745,24.965792962233802,20.360376668354093,20.676857208664543,17.435241197458616,20.481566117916465,18.577897018340877,15.387675058423534,18.469503052159595,20.018599592873773,23.051166356787473,25.790404766305993,25.52569525384986,29.93884457248826,28.61704677903984,26.71183549590632,30.821991461734303,32.04587816508543,32.841519683072,28.30887785260398,27.287997313712268,29.850270281843674,28.884470100197245,24.485518936772582,28.018636175878616,30.819122987189356,32.101020367076885,33.43111664351013,35.96557607785262],[18.84349441477402,18.375289082938945,19.944147655132596,19.623058358902238,23.95928800271705,25.87193086858836,29.045209878927054,33.03632432302454,32.94196899126898,34.96916260555209,37.8146662943857,40.15996679925703,40.01449781712646,38.36956304701751,43.508845928269686,44.76516712400089,42.91419460075872,47.06218235893669,48.32068042921713,50.7577228936693,53.56652627761302,56.77455100956716,57.26945318914318,55.47352929806815,53.069493156206036,49.58412470984668,47.89797848910886,44.443504723327884,46.334677360455174,46.42526236248764,50.227148608862336,49.42079503890642,53.09371413275273,56.75853072233184,54.15256385123823,52.14451518238303,50.731566756682774,50.479306035380716,49.13746732108787,53.57791807195865,51.04990559555107,53.40722551447388,57.32959268971844,56.55188838460003,57.86428989142785,56.59732181841879,60.39955905819826,60.14943139955153,56.202564107746426,59.63194536885583,61.61095713899288,61.39606672221405,62.95447114566958,58.07838762199139,62.442091418004736,65.80629867771171,62.397294959961705,61.62906381362696,66.4409530947537,66.52765517979932,62.773924463692865,64.91592739968034,63.267262911680106,64.5930377542299,61.854976625457,58.53230838120973,55.88727587542687,53.41705052061044,50.6445279679996,48.90675059646406,47.82960279306383,50.02355033209504,52.28577518387556,55.40928117105267,55.03864669157633,61.276136978433925,59.69742378450004,62.73357388408411,61.26444717288778,61.696421893436494,59.36382473405932,57.76818528702183,55.10311437044821,55.55566714447211,53.004841459847704,52.0702343307742,54.4796303243705,55.88159619657312,55.92138087799272,59.401675680044214,57.237289581803594,60.20272234839475,56.92395715675323,54.910995164829004,50.168251284465555,50.519556311473494,46.14739786147559,48.5729020476207,45.76453225956089,46.61255662903162,48.507674022231534,46.24949963804904,48.30749452676486,44.819680702327766,46.0143976500911,41.19954471931813,42.58784400641051,40.44011788194665,36.093912575760896,37.721149048674576,33.43810351330979,35.46483379763387,33.76524899548304,34.33320041097392,36.29654381711238,35.6053856013722,39.33209058828359,40.12186649192536,44.06834606587417,43.36194815732619,40.33735334243179,37.651089484325084,34.393912112003896,32.50945859611109,30.589708253125,30.981283554661445,29.35670904085337,32.432569820149745,33.6304928145204,38.49589175007601,34.95905769846528,38.90187774870865,40.023685085055014,42.95624539026712,38.557939614742615,37.26252008483672,31.80917274754361,33.40656092317018,32.9962631305503,36.40980916951598,35.8989672810762,40.19731598060727,41.82015672518181,39.978133962853335,43.71430423764302,43.45838770638409,40.22948397929168,40.19086201916575,39.246804652906626,37.03469890041558,37.51883587001655,37.73739143075838,41.34825299985065,40.67008251974757,42.95140562931617,43.65837984648029,42.22887783009446,41.87155633336742,43.35759653392374,41.370545561645486,40.91462629860698,44.64573369310607,41.66009528498352,46.39337946980189,45.52037889621477,40.93279935186398,44.08307653274418,44.51982231969343,42.16393763989194,39.01256558976569,40.595983742381335,39.094683628811964,43.73896572363741,44.59878189583513,46.51534299600299,47.332070789488355,47.576709777148466,51.65810668359146,51.112250324418866,50.688381595189504,48.72689585340126,44.08859211078492,46.448991928249654,47.743155044952836,45.252432672394455,49.61164539586407,50.32637686993334,53.24049447938138,50.016401476308566,50.41552453888054,48.592391694326885,47.77352479252433,45.10115587028106,42.37443820800188,41.66742091240216,39.998870427317875,35.66031540081282,36.65509809352165,32.91709365943595,33.824326701526054,34.24863799307613,34.69383810339404,31.536723007247033,29.170870986227275,31.68716769544114,29.599167124130442,24.1027431137049,26.665566652952883,30.39431659042842,24.981983452074832,23.068461834693824,25.84977629349775,25.796469292396317,20.85808088248786,21.544969496605493,20.36885573206629,25.16044338539923,22.34251059384178,25.466374277406953,28.558592400032836,32.62979467858755,35.029044042267266,37.40642594119737,39.94230345722751,39.9411337611954,43.3310614528902,42.677572035247735,45.56793594736452,42.78076375125227,37.93886964984105,41.61526736910677,42.93031204697209,38.16162060760316,37.64676301968497,41.224896532702644,38.74638601262967,34.411003785676485,36.39027357789673,33.495748814331606,38.54338590342091,40.85476489069226,39.902725674037995,43.27921457044724,45.469160119053164,44.57932642323566,40.124589141303325,40.73465144862597,42.74308650283738,38.80169542477381,35.930719185567845,38.19304551428504,37.157615666493996,33.07597949365042,35.82126377518806,36.77790789295799,32.78213528099532,31.773336089719994,34.88002191235355,33.207610356410136,36.63727364392012,36.99427943485755,39.167148106658495,35.96015680917488,31.619946717675425,35.33502851493965,34.48553074146371,30.874301474949053,30.93313024776052,35.14799631211286,31.599511272161134,27.469398543955087,31.06673971576141,33.53112761421028,29.52758006509437,26.296276229923905,22.181560341713453,22.80529081487799,18.2079767217284,19.28923255525017,16.34561285795048,19.925265078702438,18.763482764565538,14.812525535435007,17.446908037870024,18.298915383831073,21.47167766515954,24.68483591225862,24.929039338893872,29.251053077899268,28.319873223648386,27.08118364140826,31.3166717117475,32.78611716019798,33.922384906680485,29.191661099230384,28.51902758350039,31.449872681140942,30.247174472648773,26.295944703082817,30.099378377355453,32.86198245598229,34.129111327778745,35.52678939061511,38.130786705817414],[16.64267943617885,15.429687122829945,16.066457201068257,15.313759012590262,19.379763701398762,21.684253873762223,24.645635367834046,28.80014578307686,28.8913470528592,30.72501154088632,33.75956168837206,36.13537682326265,35.63059665077648,34.15839218462737,39.30688614309372,40.3940358947825,38.39876194546549,42.55320964241235,43.80278787030971,46.08964144408357,48.939457323025444,52.04699455894178,52.62460428884047,50.84980139556335,48.34467616150191,44.927265977365614,43.1403688890536,39.7342558538385,41.66961472123667,41.80823862595259,45.84450097178403,44.96845128470082,48.76995243591108,52.34187228307969,49.59479498479435,47.514982396882736,46.036482830453295,45.669461981173875,44.260035959006096,48.639942692606475,46.156244630028645,48.58226785585085,52.46231547903578,51.67976296004586,53.055179486988116,51.80954837589222,55.61133948575022,55.285186970906764,51.32303236115226,54.75242863078054,56.68558657165886,56.4502703551233,58.00430361942756,53.13550951074039,57.5183919617832,60.87787432261148,57.49621927739231,56.762035208793165,61.57012127373533,61.653431501214705,57.96576016081239,60.189643941857675,58.59471178768493,59.994089188025654,57.17055216287669,53.82767967590283,51.35909813564694,48.91653606162786,46.299447035274696,44.676440794880754,43.690050133116685,46.07983485350786,48.185233852363076,51.1625646247674,50.6872296535487,56.895798858005314,55.126864932701,58.19378787922228,56.60037924550696,56.92283025586734,54.56858716962708,52.88924638538617,50.29213001866678,50.67873982951515,48.08118628148625,47.206301309451284,49.647332939338085,51.13666980473679,51.22892256125099,54.83949336001353,52.77156850889046,55.878781145598246,52.680639647465874,50.71287039498378,45.974042599940184,46.54833800597109,42.18137318141171,44.4297090777047,41.63420810592844,42.64726834661145,44.171869632410015,41.925845301025475,43.73557211594027,40.27617413276979,41.3123729344011,36.52322797109321,38.06702776540518,35.91363228758716,31.62443427410069,33.230832980162006,28.90599595921532,30.725690539206564,29.12921476119465,29.542127092980895,31.661661432978402,30.905574479002585,34.691588773397974,35.57663412656636,39.608608220427485,38.89649194359884,35.97668394198335,33.280113737636846,29.907061264112848,27.938139509205413,26.01170535647141,26.128372238661303,24.648800164349442,27.59681087986851,28.854732757922505,33.759371325365265,30.311044719580376,34.38172184900753,35.35866931426296,38.24113574328034,33.737572141361504,32.357692433826834,26.93790793552854,28.453414450229406,28.06349719157322,31.49331776421432,31.142132651010655,35.49647578135494,37.08863378240846,35.17552562021918,38.87729283894027,38.63561569652694,35.40776506888408,35.44262062410811,34.51494086012739,32.495150938436275,33.0977508237409,33.62512468649571,37.36737617042034,37.14102993982938,39.20009033905177,39.58580869535517,37.950598652551456,37.47001784508465,38.804440061741985,36.677474555029626,36.0398666045888,39.787562993558595,36.733189149802705,41.45678457155363,40.591458127939404,36.05277464071295,39.19854608928501,39.747501185670906,37.401950096356614,34.17709320416948,35.71161757159238,34.14996247587611,38.78472017988146,39.66294314307905,41.62024546287665,42.52394878726489,42.825525744034195,46.92220326828616,46.249632275934545,45.845217828648195,43.80311527040601,39.24105896288035,41.60697261652509,42.9076764038953,40.36765352490608,44.67468439149948,45.37514243578161,48.311364422098364,45.14595265262343,45.560663082335374,43.81989743199982,42.95643302376809,40.39359471859191,37.69496322834799,37.09180252096694,35.61750013148392,31.177833245545088,32.3600067508333,28.77252455421812,29.580672141185666,30.459652824398272,30.84874670853147,27.458711408918056,25.4511384145508,28.33729771759769,26.09532639561402,20.49473458314765,23.667415831319886,27.596447034317155,22.02164243112946,20.51942389340206,23.788079542878645,23.533855994792802,18.71584363641184,20.158239920829484,18.559429034767057,23.932017593685,20.833257118720304,23.40569191783163,26.89008771880261,30.93881626301806,33.90835406801116,35.83849990519132,37.90605034082861,37.47356005264192,40.62421914744666,39.536427803934664,42.48060650988434,40.018621367267976,34.795480691782856,38.21518288980241,39.79292667343182,35.066355699721825,34.14649205236834,37.593564227548214,35.5166539501997,31.12685523681634,32.466727893126915,29.71789888193233,34.47849575079577,37.0321253300628,36.34637587769462,39.59374440331279,42.07911335775202,40.86380022419143,36.37646502121443,37.485556525945945,39.38701861666589,35.190315492984304,32.64962274560225,35.24966132738297,34.201708047238334,30.15278243516344,33.314356080318085,34.46449913081823,30.46801428389318,29.710543630716042,33.01864284697256,31.146785964943785,34.31896840035977,34.18068891222063,36.52608534872397,33.79797043540713,28.991723627739812,32.466353228521456,32.10789822291594,28.539664378997614,27.950362669101665,32.557824970563885,29.522422669406907,24.87328515758234,28.07060843634077,31.150168609313933,27.544695587455337,23.948923482291516,19.568024839026826,21.055956279543743,16.376562278370614,17.952551677098445,14.002598482251127,17.085953897662367,15.573295260681105,11.458918326739179,13.761049020651445,14.909021712532498,17.64389193625167,20.9920503942087,20.643499427803896,24.881010416598063,23.703701856872,23.03165850691731,27.23947654385046,29.06799298548005,30.058017878128492,25.1906044074168,25.139310799010243,28.12619259395827,26.371018542479913,23.021291743735127,27.204737677779534,29.706678031911505,30.7882673884337,32.181492569543046,34.866544045078385],[20.528038849819637,19.10860039879731,19.12114638981846,17.790634827846617,21.44877491708912,24.08033944517534,26.559964613560364,30.94839811273165,30.842582165438948,32.12257393898672,35.222354619619175,37.93392724728788,36.921005433175054,35.1670878354506,40.35572360273436,41.484763109074244,39.082258395643535,42.994333993415744,43.73670866823209,46.1713792430448,48.72530946865457,51.79177636991013,52.105025122773256,50.08099961846936,47.831202265468086,44.49987845456296,43.03940667521025,39.85150310395903,42.171819827007944,42.7419673033308,46.74503716446906,46.257540526295685,50.16166097500547,53.47058277230937,50.63379881226915,48.24508063160868,47.01778507703636,46.111471809350846,44.537853408798995,48.8816213233504,45.99389570729666,48.473165390426836,52.390864175301644,51.33412216314801,52.41359627181189,50.9763123244225,54.76505463243197,54.7662231304202,50.78982623687919,54.20524430197981,56.42382019194821,56.39210371300813,58.069806920292756,53.2364264214186,57.92015270799156,60.989573136207916,57.423444279093246,57.01235588790871,61.81199864358043,61.52390655087586,57.85958887603088,60.23209425462668,58.8662525193847,59.935672519078665,56.98898124766928,53.8973394810049,51.28849486740916,49.1536647634172,46.30863638457026,45.01075689830087,43.773847168382325,46.08236190637178,48.450644170647074,51.20363028505629,51.0991855138959,57.30014718973611,55.52210167583111,58.83861844620501,57.21513866448998,57.40041135913215,55.315116999836995,53.51915085659328,51.315196511693074,51.5737392246763,48.693566578686465,47.93402397866965,50.14384040486345,52.02351912283136,51.801095833200414,55.73264287929755,53.52273239496761,56.60478595853293,53.561170785761156,51.85626362213539,47.14811244438186,47.80942107372665,43.46670190849467,45.977857410793625,43.39228640533842,44.84751458812342,45.943630378922954,44.00214303438805,45.37325361408791,42.13525578835295,42.85595084302027,38.15820198139962,39.93211454931553,37.61322000052421,33.51364356382923,35.23752645590396,30.914218736336004,32.236592546510664,30.704684613990402,30.53776628070275,32.48762931538159,31.253687751324996,34.86641617839306,35.11474375213781,39.240877653268576,39.02683967122985,36.035458136740694,33.63937275605381,29.942625409743755,28.40727002476539,27.01329667544449,26.923597137510324,26.274783917717315,28.853403137500198,30.221662921323123,35.101786809978854,31.475488937264082,35.6965008494808,36.17316170920231,39.32603709894063,34.437179600034355,33.121934294945625,27.672148039109317,28.792692282150604,28.04693266332186,31.517065630359053,30.513599413999756,34.58235462537228,36.54161342350392,34.98326041224297,38.72310286616622,38.97145834786523,35.82981289084883,36.35234755808871,35.76872193216593,34.10037500438513,35.12477043108907,35.90313026621305,39.908982781898644,39.96749721074303,41.688434703403864,41.85285213926044,39.88356808059196,39.45129218774425,40.354026550220595,38.2033396885617,36.973055274329475,40.50353508933316,36.96960075944107,41.72538259728359,40.372697230790855,35.542477886929,38.83504982222433,38.960640401486586,36.84906196925278,33.71670525954774,35.61779822425223,34.19739727223762,39.02212826665701,40.267258291402655,42.45478525832862,43.73352847520972,44.028581044463266,48.295599887848674,47.220625753881045,46.93436541602936,44.459918944611545,40.317249230268374,42.40569636507562,43.430247478017634,40.72064985432223,44.859788028077126,45.40240408857057,48.1536789854797,44.57617992539732,45.20551026655479,43.364149647388885,42.904058657116444,40.33403827645808,37.872064607927875,37.51547989999989,36.17176848775374,31.92586768726629,33.54259902133887,30.287841392022088,31.460442744341368,32.65783002342281,33.34963326250318,29.832348467193132,27.87523307129643,31.11561449056058,29.0768544338253,23.312396379275437,26.688479876372146,30.9410402568715,25.483304856905896,24.04045833953901,27.45010352669073,27.324797381524196,22.579582663772516,24.0025760116098,22.149394432950434,27.548609791920843,23.739549839559004,26.429875200749077,30.078308791363767,33.792213816121645,36.88019956838696,38.55919828970239,40.733994810876396,40.1036302376562,43.17057662222708,42.02850528341302,44.69470853321207,42.2362722274809,37.01267409538564,40.240651728003286,41.531705761943826,36.79062791268565,35.81744259598386,38.969073776778494,36.67617104905133,32.41151642980635,33.499227569434346,31.367543532232002,36.19173315546676,38.94101227503046,38.70946530741443,42.01711032036378,44.80371540104859,43.49718390611159,38.91409258338061,40.41891958971952,42.407299282811834,38.09310981240752,35.71723157791296,38.589869299431705,37.62191382625767,33.576624673171445,36.81457886945442,38.1348198800699,34.21543424992567,33.42203678941032,36.69384949815004,34.64584154208468,37.63500957827887,37.2733994020692,39.455704779672296,36.915773099076624,32.04976092727438,35.16746744394871,34.78367860277787,31.31144717413279,30.34644504890374,34.750225495141,31.742550484589493,27.05510892819651,29.830916801357432,32.82873238760299,29.209057536480877,25.585979758704966,21.47804898962541,22.443695500383267,17.909512408672374,20.350557885535427,16.717323691340244,20.00300575470391,18.88318644981367,14.454428925931984,16.11460247232569,16.573936796886994,19.121178554731138,22.981016124796565,22.67852658053077,26.653158169027403,25.47458081482805,25.728930365161087,29.877562544080032,32.02952267879975,32.90522399428401,27.97184400504183,28.43815745276848,31.40888211379656,29.15534126614181,26.244772295451046,30.632114818146402,32.94446361671546,33.80377639653985,35.07565978553003,37.74003733648814],[21.532644229389845,19.519021742821117,18.359653582724732,16.88898348243807,19.580638543779447,23.01405164710569,25.06321282760359,29.58672260266499,29.807075497143668,30.697662835419592,34.02716942843635,36.77672614511669,35.16307259557683,33.64095678768717,38.7793009536448,39.64557694032446,36.91793175980499,40.71548936332688,41.20955637504659,43.428251970458184,45.89346803269261,48.72117442621921,49.036831882623694,46.87884846842564,44.60835839442613,41.496538428344124,40.029346191422235,37.08532687299969,39.64109746167466,40.42474068960511,44.788020066115955,44.266228826025774,48.36078157673402,51.455486418932274,48.379068075911,45.80612872809723,44.508734068227824,43.21795348806837,41.409423607272295,45.4864085691111,42.55785960509284,45.2733228987294,49.08497316968706,47.82586797072512,48.840992871024596,47.24892333520438,51.00059239727119,51.10094756212662,47.01548027804587,50.30287400763778,52.67649963594455,52.66010569583975,54.47365614088504,49.7286430265416,54.59917880894589,57.54589167126585,53.997128629025056,53.848251617650234,58.616741285558675,58.140437886551446,54.674816965542114,57.295713356611614,56.1392481696329,57.19413605210813,54.0334527682045,51.03933659632714,48.69725826939038,46.76215537624373,44.082347595442144,43.10783171890436,41.90569173701163,44.4261232296686,46.6767373118458,49.11073902456299,49.00212260440632,55.12153324452273,53.03873045376608,56.473944871263704,54.62503769130953,54.5429924356129,52.47981515339452,50.43375801247982,48.46463806572049,48.45848440478795,45.42551894963959,44.94484516458658,47.187104699398546,49.351447038759694,49.17190742286983,53.40738682882304,51.34094564457821,54.619035788883345,51.757490979805496,50.19382167102563,45.53705456460801,46.52191160736888,42.23492141116997,44.51388328541424,41.994710507925454,43.66057172259066,44.172517408172645,42.203544856022205,43.13061010711537,39.876297665800124,40.09912453820098,35.50127894035863,37.33197924850644,34.801397775025166,30.930241237540155,32.86625706557397,28.69805273865461,29.714790126915116,28.58124714769552,28.00982532173186,30.240760193695593,28.709836060002324,32.31348731358078,32.36540834729876,36.67848591033914,36.72476583316822,33.900228579793854,31.6594432247671,27.666805252089127,26.220895559213346,25.045770455828077,24.25291881636427,24.037971537008975,26.085379953689372,27.339649015459603,32.0822024812806,28.245239155947203,32.52513556490289,32.636851379578346,36.00017081759118,30.904964157358354,29.792643819811918,24.28382141869697,25.340500857926287,24.614105172659574,28.19225770686462,27.15455670528732,31.08763109035476,33.32001313299607,31.852953902615972,35.5064695279452,36.05682198528193,32.98272436827915,33.825301220314884,33.317492531050895,32.12590324696203,33.28487377777327,34.60919418958465,38.657656111610564,39.34616433941888,40.819877431887306,40.51994743369519,38.286444066840694,37.593059757285225,38.24613621567573,35.74205782712747,34.034459557068516,37.59553606608146,33.69086550665742,38.385080547462834,36.68686159792037,31.694831148124404,34.8784143329858,34.82005087552994,32.70101380022179,29.68155355325885,31.716361213800624,30.53562588921195,35.45621674919962,36.94241186824038,39.35858143408542,40.882364399262144,41.41184521164193,45.60455137718173,44.19371084517016,43.8631216715108,41.07212956899675,37.18584036625179,38.93330738752152,39.74362718121638,36.9943433462565,41.13979213756101,41.757079128937875,44.318212499992974,40.60127445225841,41.16120787033898,39.22604282123669,38.91272649407405,36.297865624885546,33.9475535412755,33.71688102961282,32.48039665157441,28.37321511411098,30.304918209026532,27.381196228636462,28.835890098494872,30.39532819611551,31.375114656778518,27.762787805916187,25.939307139171824,29.585409348403672,27.80133106889591,21.958691205243696,25.647436788364825,30.253877585150505,25.06671195710698,23.850229978029414,27.542492697229022,27.59316695324866,23.143679521128366,24.78288919593135,22.46222556515648,28.026427420363003,23.53543145058591,25.880286331463406,29.800851802636455,33.13302176541988,36.63474568041462,37.794628985441534,39.732800511005465,38.69943203299003,41.53158882803525,40.14767656611198,42.58381397203577,40.32172261752958,34.96452482338943,37.881668093374806,39.07901240537623,34.408459150451044,33.201198530762696,36.05342833915319,33.85282644318324,29.693343171647847,30.281524364123555,28.674926827334442,33.388407452815564,36.33809364158963,36.59009948770657,39.887166594995996,43.032501318020564,41.587265367831506,36.92653172031921,38.95880820918814,41.03336979098576,36.600900555615915,34.479197152210396,37.76613251910885,36.96930602635717,32.95847800866662,36.3391640874483,37.98177842243792,34.29096441867641,33.46643825124164,36.710909949403344,34.37397190037392,36.98379448344642,36.17031610066389,38.230874932262445,36.151403362887265,31.078724363786414,33.68712724238398,33.548803475187285,30.251722790139347,28.641811036061554,33.02003358120566,30.409726863186343,25.490754891747507,27.650769620602002,30.913037884803146,27.632604965655307,23.852045678267903,19.92232029277073,21.10314162970794,16.870140953727834,20.06461416795987,16.266401429317998,19.206815160141236,18.437068422828325,13.933105110796504,14.645950542788437,14.640805772735009,16.62706993749838,20.8034159058626,20.391164204467177,24.00348332886897,22.95412932184595,24.216429513342472,28.241010775393324,30.755883990806403,31.702357485573923,26.729555591261388,27.852379915396053,30.961214615656335,28.251672648600422,26.153294491528538,30.76040602816577,32.81265959359549,33.51561627217146,34.78307304305422,37.47049399095644],[22.097924861486494,20.083457111013086,18.90640482953622,16.084218669811026,19.091578185834013,21.68307183621463,23.209789805210484,27.816366816980878,27.38841109572608,27.822961296604294,30.99631107768561,34.09284568654965,32.36261136036634,30.34976751610756,35.50396323164434,36.62123185961972,33.79284276470038,37.4317649488802,37.75437384016536,40.30455716758426,42.63350949113052,45.71203209325717,45.851976255652026,43.73828234210653,41.64569431661053,38.316466199141516,37.10933136378919,34.06884043638549,36.69259253940924,37.70238882881374,41.61758274720361,41.58005430611272,45.572982902629654,48.53989726361286,45.634973495389836,42.93936699274039,42.04477218794509,40.64430743262389,39.032095270725826,43.52054805457684,40.2340978078785,42.58290142856594,46.57581215706609,45.429582327722166,46.33410102335127,44.931970429265036,48.73411336852724,48.851325065007615,45.02170436898058,48.59482345266185,50.84581823733064,51.03712522547652,52.65191027721161,47.793076535173064,52.62084858402746,55.43163982527263,51.671625675429965,51.4051614373248,56.18960966833782,55.66486947453538,51.91670134909421,54.31192188965699,53.09774393157395,53.9065946733548,50.91145281195016,48.0036163880277,45.26909397702418,43.37559163777893,40.39725457000487,39.407390903525716,38.015711367739165,40.353031634556686,42.82406194395584,45.324025740105895,45.48267717779928,51.6441851980738,49.84840921508978,53.37512883603294,51.75762366322295,51.877751713049875,50.111637928785505,48.345121354542485,46.55568876573207,46.869530859791034,43.73149884295823,42.87392703248926,44.737630323217786,46.94567469535834,46.338777986946276,50.53967053144422,48.1869743518612,51.24903423537227,48.395222498563896,46.9892243614338,42.356711435930194,43.19524763590112,38.932956491044735,41.65437475087412,39.37953845862413,41.4929486270367,41.92800188118203,40.56194917555424,41.31392384225977,38.603173905278084,39.205372852722,34.72380858587859,37.09667113572573,34.944919084287484,31.13297737441147,32.550995314607746,28.138534343068137,28.50205095954878,26.81571596862406,25.899410149410954,27.46488296411231,25.765454484200983,29.1536954523707,28.927860135107345,33.08366304645082,33.23404603914476,30.233994994085496,28.12892106360789,24.168626361771302,23.066329738864766,22.32404454351368,22.19200487569289,22.788074459990085,25.019119797037522,26.842117245301424,31.754929291123823,28.602862543146905,33.11165281598267,32.968492252476054,35.960666238953074,30.665410928683407,28.938145901603516,23.896022194165432,24.104648119995517,22.766298455172105,26.069567737825693,24.47802230475556,28.37975877792237,30.40352630521904,29.106985736277665,32.88169477181356,33.47288898138479,30.446117209545076,31.440672943812274,31.355095134591075,30.088612014023926,31.81148777216013,32.85629916254448,37.2955070477735,37.86282417539224,38.89012646736112,38.66775627168918,36.19199893863771,35.940996296590505,36.16182628799869,34.240134892447074,32.383330648481824,35.4652457817391,31.640877969199682,36.42603016709792,34.892953790283144,30.049610961432816,33.71061303194278,33.771693957301615,32.115554380992435,28.78287024866741,30.904917570816533,29.184898453518443,34.038538565886384,35.509777361240786,37.754220235312076,39.42171884789753,39.478391718245284,44.05308177898901,42.60220703277258,42.62131953209006,39.82945891927115,36.23552224437882,38.39962554373315,39.33664680940396,36.34549662479093,39.989343879329816,40.119494225345576,42.92255774441749,39.13953525832099,40.25381371539301,38.65842872851683,38.47675472674084,36.31349309967911,34.18252924442608,34.31956264418747,33.59914417521781,29.336004600115256,31.57213747269998,28.90849505815675,29.855068100145477,32.03485401497428,32.52310331873638,28.651045177997663,27.632953192771588,31.348352240846793,29.009531412025115,23.558538126005864,27.72511925295182,31.900834314438026,26.371490817794054,25.725178253495496,29.500726016718396,28.859904071653133,24.567274713863867,26.92016113308784,24.912749570440088,30.623616832314536,26.893739984144226,28.801291697273182,32.72249583136823,36.32203544704617,39.951274838753854,41.10124789668824,42.636606687579416,41.44046995929565,44.079618055632544,42.27430357331644,44.95529028009439,43.06617659358503,37.395506275883214,40.06816395637224,41.70475614437757,37.1639818060194,35.53400380210938,38.26009710783018,36.635645991702745,32.47940559318122,32.26880415468943,30.73536732033138,34.80353379205239,38.00112657847954,38.311113124360396,41.2502281402605,44.47551155680705,42.535556432199094,38.06981237468723,40.403695398221004,42.02822784104259,37.34894390902186,35.718620016029895,38.9142096048654,37.809057045095145,34.0482426420957,37.87738486033617,39.2574138935827,35.31218418726586,35.113624347037046,38.60839918137839,36.494387088497255,39.11203040265041,38.08219676747837,40.522806516214594,38.709800480597934,33.37144910029061,36.0569173886416,36.407146707618054,33.120809205602136,31.259271215925327,36.04466422429814,33.83272544356361,28.666150480210067,30.6291568943413,34.36192888517042,31.39265972286543,27.478351201904474,23.371399163009027,25.175547432668637,20.943440143345647,23.87218756723215,19.531680174647807,21.837604552805235,20.187828333907248,16.283122172884763,17.09440109275014,17.77814746078561,19.17940741388329,23.098143248626783,21.53688844564012,24.96771769043807,23.02403909911881,24.649344459250184,28.418352624498418,31.173855287568323,31.35392930353818,26.477623092330912,28.100862815599875,30.697126667102058,27.323013330257822,25.50461252863872,30.25566478474043,31.94341239328229,32.255397526368625,33.264712584607935,35.90915123040194],[26.66990165842326,24.527466591628123,22.88241006867043,20.439683749107893,22.61434020907907,25.902992962528238,27.086115443664948,31.734757197874963,31.501300376448427,31.48604437694928,34.754708986349854,37.967547591511774,35.658227217577014,33.67780292609489,38.71955070850047,39.67566078824878,36.41315872678567,39.724316798756796,39.43362730424247,41.903709936203335,43.86547510122568,46.66427431656306,46.55048162978237,44.08303371125578,42.26048159616847,39.26215976034355,38.371087503543116,35.78521939045219,38.84986109597344,40.29348676239166,44.39767003568172,44.56262034484878,48.69959767039068,51.339832047370535,48.2328791961779,45.233560357453186,44.43790647147346,42.378455869409564,40.441825623775046,44.544907371249195,40.963494215636985,43.57727567781281,47.447353786520324,45.862256069395826,46.410100840103816,44.64326711542877,48.35473898199237,48.913026022019004,44.96138294349266,48.310117822115394,50.995057963904365,51.3467633209563,53.22354683192978,48.54249338218837,53.74688266264134,56.20984267269261,52.36456665283938,52.62157186915869,57.33101442293829,56.33106595903533,52.83353219493545,55.560381517675225,54.71934315612775,55.232340969825756,51.97886061549423,49.400491808301474,46.787191423472194,45.332107450844056,42.312621443642804,41.82835732632954,40.26102197166809,42.600114058680084,45.209297844567345,47.28404820763568,47.758121449993375,53.79173609349472,51.789638538624075,55.55814734845637,53.7557746831265,53.54715625900401,51.985917481392974,49.90842457021685,48.57824009258456,48.52214787302042,45.10817645005858,44.64997499517485,46.39556706494861,49.08468818251499,48.32958816886916,52.94486846644837,50.6292657386691,53.77587764114858,51.17862983492741,50.0497046988329,45.5236311377735,46.59243985787308,42.43323743547301,45.12792948194431,43.0166816392437,45.38679141007707,45.27481162140735,43.95965904108036,44.21406033292784,41.52969747284569,41.48382741637351,37.16941762317744,39.48979847485401,36.9848896599222,33.496935621462406,35.28894078271562,31.157304233905663,31.231331853870735,30.024915981012725,28.573604255661298,30.261994293071854,28.061031859865043,31.206864459139663,30.24618279533549,34.53791612598266,35.33872298468857,32.4618721713653,30.77316792311864,26.475070649419486,25.8265013658035,25.594458145631478,24.754148594144336,25.95776227175409,27.48368783500401,29.061191628002128,33.664935804605506,30.054860898277926,34.49301541300126,33.81405314049042,37.261133617066875,31.705442762734243,30.444650799215125,25.357833658607078,25.43598326885142,23.984391409741598,27.346890667829168,25.18616758349645,28.52633231350819,31.179769409205992,30.339293001848915,33.97501396087226,35.23137520991042,32.3920545980652,33.948723073239215,34.07818446407432,33.37979157804822,35.25461714746306,36.771130296896935,41.19980191466932,42.21292365927988,43.06586735986206,42.49478014318274,39.783403512892654,39.31977987745046,39.2258429090806,36.96632353731422,34.445518146179474,37.423561921927075,32.98013617056738,37.62632806298337,35.33839831276249,30.118882278020838,33.6358786255141,33.022943493477165,31.515148553766103,28.569827437851256,31.111652024169867,29.93551961375646,34.94695884380696,36.901337765806275,39.50692846889567,41.56671268227036,41.894889419914385,46.38257243331704,44.43253552048378,44.412725241208186,41.08659562203471,37.98939188701091,39.504399779336495,39.98123922331823,36.947414602490014,40.54006725322398,40.71540037971675,43.0754953295143,38.81216104613006,39.91856570306636,38.044180947570915,38.35753250430113,36.02110894646303,34.17026928219852,34.47461253818331,33.72879844169369,29.934326351953878,32.526615616365504,30.268918919139683,31.854982859579085,34.06568483793856,35.12587043527353,31.344482814188336,30.038367869270974,34.01028040115422,32.21919402212443,26.576985600085802,30.59354368880152,35.22848737878553,30.09113597958262,29.226223007483878,33.04366056494971,32.88728824561055,28.62403660368397,30.578154691734817,28.211822257219463,33.82598767081728,29.139226503837257,31.284899229070394,35.31161750899834,38.391458526470345,42.08015041344437,42.91573592640562,44.69089148579072,43.332522108724106,45.90875007023641,44.23303920534551,46.436765711866876,44.43810839348889,38.98597504552918,41.47271596237918,42.55930181543831,38.045422048445715,36.54693173497334,38.894464573631225,36.832867031221184,32.94334418193554,32.71507960246441,31.971403236312987,36.26741646614984,39.523196770521686,40.356986872028,43.477681189046855,46.98642101589419,45.197329236321885,40.59688484310208,43.225096302682985,45.15012955217014,40.52369218839267,38.870271072148824,42.3833083735072,41.543277105570425,37.707232231365865,41.35374923765355,43.04960069002129,39.35842067331249,38.805193870258435,42.1138362184367,39.71380654249262,42.09041907672961,40.91011848912994,42.9605852942234,41.28262463357084,36.06530888205286,38.26648989683864,38.38827218594386,35.2672530373909,33.12798230503399,37.41265822429521,35.1527178485656,30.166138596598802,31.65568180709725,35.03331989650961,32.05209080473884,28.278761489141704,24.705811239170888,25.711829294840065,21.881579219083246,25.571231119241975,21.88354947068602,24.538242469085663,23.705770147125392,19.434002920823662,19.638653601807682,19.34971549326464,20.63526197346143,24.95744778589109,24.041796263670317,27.064997607547586,25.65495382857118,28.082844050726617,31.78863450048715,34.71415610736814,35.18095603357184,30.308208400541137,32.18059718081479,34.99699144649562,31.52439047732416,30.101914170865644,34.89164437602032,36.53482331264052,36.816248779496966,37.82806810468645,40.443523537970556],[27.462337829438834,25.286788311442848,23.51788163528645,20.10776418329821,22.264806059625688,24.85000293059186,25.433605953154725,30.053085425371922,29.295033267119457,28.7470494690692,31.84818350667384,35.34802929187415,32.82716572912804,30.446826583620457,35.41280323848123,36.54566889225994,33.145627923942804,36.22925484192059,35.70284551631968,38.45013491605937,40.24401292810424,43.23917312181586,42.95198867627277,40.51677264950321,38.87653211830537,35.71097423945349,35.094712096673156,32.48839999134144,35.647032116657314,37.34939220019052,41.047603594386125,41.67768026304205,45.71785049452515,48.173676101957945,45.20834734590199,42.075794594988324,41.66826925821243,39.445301424078295,37.67765125436142,42.11488684364584,38.19693246468149,40.4648312477367,44.47877049986877,42.98635583419813,43.419553336402274,41.834806824829776,45.58164266980889,46.154129221942604,42.45966879007957,46.06914876186458,48.62880774706137,49.17800640366322,50.866561748157345,46.10380215678417,51.26165493271445,53.570387364991426,49.53809630777943,49.71180025316265,54.41406042039283,53.35128705445116,49.61505978528194,52.148317594644084,51.28637833212813,51.558257447379795,48.44218082680944,45.972608551806545,43.03095793349656,41.66563835050427,38.3972883366522,37.97816221198533,36.234481677368954,38.421475737078254,41.21187122967635,43.270340627064,44.00744754852515,50.037056375420434,48.26603317852063,52.12763585282678,50.51769241851726,50.46207687774858,49.1992241694042,47.366823717578626,46.25436994080743,46.46819849675384,42.95713648589831,42.176972453883785,43.544506630796086,46.30622598997621,45.147282224369015,49.7569412756953,47.20429000580989,50.1625527763594,47.623673522057594,46.6841466982725,42.22917255350969,43.21696186303843,39.13651985683306,42.17939591771555,40.33947221612752,43.14445046507967,42.84854425093082,42.10846358750449,42.11709855044758,39.97168831022096,40.20564634101367,36.06958058940707,38.86852443727683,36.71996103741932,33.36247408325301,34.68292608344905,30.42951925106689,29.85025133709478,28.23079458606764,26.390408434072533,27.43720125807066,25.02192137026778,27.8720816869667,26.551542210530446,30.684196105068953,31.665200505904526,28.678276569275152,27.213433626000796,22.94001883382189,22.73084220695561,23.034779649568204,22.69775089865111,24.739992308181158,26.285896292931604,28.334774550358322,32.98852002723305,30.056749434308212,34.64017379577443,33.70787818186808,36.77189005964331,31.087674585123693,29.284806073516574,24.757458301210132,23.997853754064458,21.959052138686197,24.97990658755356,22.243695906513867,25.449685560678997,27.918236334085083,27.301799005560603,31.00135608231259,32.354716433212374,29.61934933434228,31.381019944922397,31.9402213791607,31.283457505246826,33.677859096307074,35.014286336697445,39.73778911784937,40.74212234978826,41.13356619902512,40.55175638885695,37.60079693049229,37.507797863006246,36.95939348424107,35.220830779463526,32.508510554938894,34.97878765780099,30.600770209264613,35.270763581987154,33.11918344372595,28.093014649246168,32.03924473659712,31.549398013379726,30.526479333341005,27.314708733221874,29.911796323374,28.243060581837792,33.12753179096547,35.07808930780267,37.52083069029072,39.73556611848367,39.645177036851095,44.44307660059184,42.4208349183782,42.731121979638154,39.39399544586084,36.647102715783625,38.50412682209707,39.080704581814196,35.84230636169391,38.90697498381654,38.607811335202015,41.171750761069845,36.868321655688725,38.51386747404175,36.996958481618776,37.43301204943605,35.56826912066538,33.95506385931655,34.613539128701255,34.37804259130165,30.489375366735054,33.33388812279886,31.358281583916945,32.47803946057186,35.24233729731973,35.876883851132106,31.910573902696573,31.33385516713861,35.35382585654131,33.13181730613205,27.89352948681182,32.28472644997633,36.54606793470317,31.213641026431183,30.8498175680972,34.7335256370536,34.03144167961132,29.988250707118855,32.5217864408902,30.36874423073353,36.09745568002911,32.01416573657012,33.73868874482802,37.77705014815765,41.05965992587103,44.904423379646715,45.68116234822623,47.0512072753416,45.51313212182375,47.88201474333117,45.803162708493296,48.21352788093632,46.58914745789483,40.85864361325854,43.08793756637295,44.588817626773185,40.22448713839679,38.326837150974995,40.53720441822517,39.05870148068119,35.19059515522956,34.203957119423045,33.534338758315116,37.18408481221188,40.6500577896364,41.56089084051527,44.330306685050836,47.92187664063662,45.68045893238419,41.28625008720368,44.21753646247807,45.73533990978614,40.91573749981538,39.740038005059674,43.192801785803944,42.11358727642507,38.53413624327982,42.55472291863578,44.05302084135495,40.20573481739631,40.1844109262914,43.685414033847316,41.45620271571937,43.78499403105655,42.37153917071094,44.741628530545185,43.35495348798758,37.906042682036116,40.12157278950783,40.70744821929214,37.61979685558812,35.22483492901942,39.86662317596171,38.01112306964664,32.795946242365986,34.08604068302367,37.91251718092918,35.25232465988624,31.349050202029762,27.60976040545715,29.240125650345774,25.389918571151174,28.85259217017393,24.671257478201344,26.76634955245017,25.27991606555906,21.527441243665557,21.74273818800467,22.005422540306427,22.788626730061242,26.82791426692532,24.953907979130303,27.72200362782762,25.579108742783358,28.38642456837384,31.78326478600773,34.916880084026886,34.726741222334034,30.022347783056073,32.37746741360252,34.734219749546334,30.68478746474121,29.676488889316538,34.52242064357485,35.778551792142274,35.68838101568965,36.45425790702387,38.989393282896295],[24.042093580710283,21.67721962366397,19.623188895251914,16.093304490504142,18.123504567857058,20.779911267198205,21.44344336411209,26.0841465600213,25.575540764722216,25.288974317512935,28.53549112954091,31.83587691804408,29.442064497226333,27.38160765109577,32.42399110476639,33.419123529400906,30.21587666929132,33.60739704295898,33.56977278803962,36.10454143916978,38.26066192880526,41.261681453512345,41.303965524157945,39.101566675532425,37.089479729957986,33.83455185547353,32.784815144451045,29.93683371646372,32.83234799116712,34.20010384419054,38.16376174949782,38.396164406892176,42.48300648181663,45.145415592313086,42.12937496488635,39.19012273499529,38.48933045103554,36.64754136864137,34.9428202799644,39.432566301527345,35.882359489498704,38.21257841380126,42.214590231555505,40.95833679568063,41.7436639588208,40.330570897117695,44.13238381086755,44.332937991653786,40.57267210888079,44.218213966540745,46.515830144701845,46.84854453426076,48.453423397138785,43.608468979424984,48.56609135616299,51.17720271296471,47.307322834138944,47.203985044686966,51.96276688837739,51.2441298857048,47.50572647950926,49.988651039632934,48.93475358044766,49.5882814553411,46.495175793376866,43.73042135887209,41.02253545481438,39.349975818459626,36.36819952175746,35.69796163044775,34.23892491441373,36.67855851777174,39.13961949329944,41.3529842439369,41.65904583801008,47.74711708599437,45.83283418757796,49.51705637801736,47.82958430792516,47.822055726048696,46.26602509896337,44.448670656566655,43.00448585714319,43.27583474629421,39.94200709323617,39.10429667156708,40.74451039086149,43.243505317782414,42.41137519394147,46.86690056849977,44.48823144055959,47.600144626364674,44.93918883882637,43.771970703807526,39.23685445438173,40.30277402255504,36.1519253119372,38.883638758243684,36.85029288844003,39.41973489919564,39.23644538353558,38.241006897228544,38.44455223888475,36.10404572133469,36.47501089410599,32.23050684135676,34.98237309692089,32.92699703891034,29.44930059781998,30.68409970837096,26.365698802018088,25.96129051536674,24.335342239858416,22.760769729077218,24.11743235454583,21.990491995247996,25.17888948125716,24.55534382494309,28.79389048061709,29.2781055818529,26.362581623978556,24.53841266905962,20.31403102826975,19.590474571159536,19.448466361183872,19.025965785359123,20.693941170449555,22.42528959510927,24.49696646181493,29.278580123912796,26.488967459735797,31.105263445707543,30.45231778086458,33.32505096071455,27.782580102982923,25.832845499690197,21.216123678877242,20.681184820724823,18.891834472042923,22.053201583708052,20.02159326236352,23.746619791280054,25.88693382074005,24.80792141463733,28.56302761715916,29.485781909322494,26.58569462729593,28.013984492644074,28.30346238449029,27.497767289141642,29.70036197181805,31.077446618846473,35.7201307183731,36.79688684970807,37.303988576946665,36.687214141546896,33.837362037979666,33.6197931592366,33.306840177364165,31.4517104406314,29.03893220394097,31.783542887256495,27.672135701661638,32.427955168617366,30.686860018218297,25.828741115438866,29.710830264530696,29.704007348663158,28.391761183571628,24.960818616348373,27.244655639677475,25.370416086597512,30.22074683081196,31.90189804025204,34.22937939274914,36.21743038410851,36.18497074226124,40.90315739981966,39.116175038911415,39.32683559611771,36.25701692363846,33.144625559859776,35.25279193101772,36.072675094263786,32.90451305468517,36.17152673404424,36.03442898884217,38.81870990543161,34.890253813061356,36.32046455767483,34.89875013601281,34.93077661093414,33.07533021830384,31.228444154328454,31.7399392329714,31.49788667540694,27.344035923918675,30.01616140062055,27.896918801329527,28.71943835519424,31.55891540287267,31.96879004637156,27.960017002538503,27.604613678670386,31.583037397449353,29.192464150642905,24.126038284351115,28.65460665737751,32.742795812518324,27.409914555760253,27.275499056174528,31.193456720989726,30.340422368533865,26.498636796617454,29.290651966651147,27.16316401160041,32.913570580478115,29.183425040069352,30.54941575526361,34.578396900080705,37.9704562330863,41.9296559746306,42.66107771713316,43.75347452954329,42.15728950134172,44.45127650149014,42.215467104072275,44.8221926223259,43.35322080045091,37.47523666609898,39.68983688467385,41.50678730124846,37.18732863459953,35.1279090220957,37.47183567560053,36.34094498841873,32.365038663677794,31.212978720364156,30.208080282457296,33.650200532077484,37.117598688873464,37.86788944422871,40.52172675953048,44.054586473309435,41.716629377553105,37.37989589088972,40.30851534433878,41.707718415801345,36.857154949126276,35.775674691851016,39.20417807396122,38.08397323710743,34.575162096602,38.70043822028198,40.17272212870243,36.34728053163502,36.470843513218846,40.01850442258034,37.83520625662148,40.1083754109328,38.60420868704665,41.128926615147805,39.871083574317055,34.32125595022077,36.585879097359495,37.41662934949163,34.34235330264925,31.87421624484276,36.77508168318909,35.15927833044605,29.80397007565226,31.113242937520834,35.252519441572716,32.80211951098179,28.803031521194722,24.876953075403666,27.131296051260602,23.273281415363066,26.437042540518025,21.892960634572322,23.506806195164646,21.73584128721242,18.35942919409719,18.480417644375308,19.16605775717353,19.67426150852239,23.442680580836925,21.13361477983664,23.94462260099255,21.585548128819056,24.314778361375208,27.66799313422612,30.81496669137822,30.586295128468212,25.88447896940452,28.33556098095155,30.673372177128027,26.591476060178245,25.752139081607933,30.61495463514887,31.815022603103944,31.753136178550257,32.5800973502036,35.162891231502094],[25.594776043516895,22.98762884082049,20.353712717156984,17.96721962545299,18.99752525219871,22.93936571738514,23.74785186009264,28.348752827851495,28.621852124216264,28.43676823081598,31.92405791653536,34.94032307421744,32.20899952812618,30.735798318771593,35.65536638250412,36.238179852731804,32.851930053417306,36.19444147364256,35.98469132664812,38.05497753036728,40.1539818403489,42.69038476308473,42.80948076217129,40.38225908179855,38.29184498479999,35.48836275784742,34.306380887834266,31.85626241316118,34.94240344933259,36.350234682567574,40.93468924202779,40.781764662545605,45.077660704593406,47.6302857048884,44.290576853803216,41.28098859209584,40.21928409535711,38.057764769639306,35.94016514922038,39.76670716120096,36.418245455509386,39.30263490937398,43.03021735165934,41.41104669317727,42.137147212162574,40.33854592229001,44.043336986236525,44.43591510111008,40.340593698831036,43.58233041730335,46.2300197966354,46.44422643072085,48.3895477497813,43.75553516729853,48.980630233802444,51.52516143294642,47.82540397710956,48.14601253485393,52.841519452170004,51.9063272581644,48.617034638393996,51.53868114756151,50.7716656522843,51.538189032914616,48.10857806839938,45.43689822083185,43.27663198800018,41.823206731942385,39.20525274191283,38.87790418742752,37.56574260033975,40.25146854893175,42.4813625025433,44.32743802814773,44.490340011958075,50.42704222147326,48.044479912151466,51.7717836579033,49.709964371303776,49.275171620732266,47.54024695324425,45.241626414277675,43.924311229010435,43.64595655094306,40.227811806556645,40.017340443480805,41.96847446995792,44.73374024989328,44.258443687978684,49.019785325132425,46.988934007669606,50.402600059318246,47.918128287376,46.77318084523064,42.300534068881994,43.71278984453284,39.62509745221809,41.831591274865204,39.67722828916989,42.022820365352324,41.454887728073636,39.94402255874544,39.910897149900165,37.10917985613874,36.66638593432215,32.44596054650523,34.74839521045928,32.14162297592462,28.86946488413464,30.775492226198757,26.863791487791115,26.752694582021,26.00505910496923,24.359300377914128,26.511004194662096,24.245722521215956,27.510509449983186,26.80571904645969,31.290667808123114,32.02317292750486,29.434648839387236,27.720944383329236,23.281326970828584,22.432992676975683,22.15482216059715,20.500390996737995,21.86832167173861,22.87445733265114,24.288379685839256,28.721140086242528,25.068550051219425,29.512352737368975,28.641497606364968,32.12374172719246,26.51409781616018,25.39320212314118,20.309949260574623,20.43529442322918,19.196074422512318,22.698455285358335,20.980604349637055,24.43319596016307,27.157853715731346,26.136155419051196,29.653788272807,30.93800778809402,28.11661871647011,29.7625266898036,29.781033393038456,29.486459827984092,31.29612757538641,33.32253614834248,37.62362843767443,39.22566383703875,39.94533334445756,38.94186168986609,36.116029799183025,35.31766529826299,35.1552764269072,32.499285773986365,29.734722666746126,32.881063407012974,28.280196415246063,32.85674531783025,30.488282792328697,25.238078782366422,28.578080736547687,28.095659124633073,26.405556843996457,23.440734858079246,25.916447032263928,24.881468553850773,29.920837669718132,31.934493610911282,34.67111140818104,36.80128184467112,37.40449115724497,41.704648360847735,39.60377992882234,39.47085194554374,36.03672363972142,32.99464555326876,34.31353759520554,34.7334950936591,31.721826968533097,35.423082233704825,35.77933829701425,38.08445385237021,33.94936588029078,34.846215802118564,32.95852898829054,33.14760945716347,30.802817052401036,28.93360153870376,29.29016880161739,28.695104599171387,24.91099464795532,27.689604686663934,25.734448586653468,27.342892204388658,29.91594395930833,31.053887339137745,27.25075817237285,26.268374264037558,30.464615054230002,28.82320242131151,23.42659124999942,27.659134446746794,32.341613153907964,27.56128206391923,27.048039519344936,31.001929143077056,30.887975007064195,27.088634357799627,29.31226493476134,26.692373164033228,32.310463585013146,27.50904592259343,29.056228553446157,33.1969292269787,36.01428151483812,40.069633001068,40.446686718892266,41.780774461622386,40.05373617419606,42.33403533397461,40.33799874879497,42.46622235986976,40.79616222227082,35.17934980890524,37.3271891201141,38.571119832162374,34.22649653105725,32.39252220255586,34.510339846816635,32.867376197142654,29.067254341260337,28.17207418325535,27.729151789908688,31.655123850194396,35.061076676279754,36.215664559637524,39.190735118328455,42.93504713426661,40.96997507595146,36.409676250270614,39.465704945165996,41.351447454598265,36.672895670424104,35.33530725207533,39.12189681758815,38.412570142321115,34.72073682724455,38.488747352028085,40.402338251315854,36.970701460578894,36.49469264762236,39.763819116047344,37.20581289764128,39.201850916692955,37.597976105819356,39.6345987994157,38.46267568527296,33.08793688242985,34.855959793633126,35.379437759613396,32.47240175198467,29.77415873986098,34.15771116795057,32.480813047426054,27.302047789158138,28.21340173614572,32.01742118227741,29.578995182630273,25.695940871749123,22.257886003088014,23.929726532136442,20.506587888037057,24.329795823822035,20.391679322668878,22.294305254206037,21.575470021802904,17.762647149752766,17.152675031240797,16.81189622349293,17.233193307800242,21.4137915627068,20.110695468469867,22.657866952881992,21.289103096506096,24.54061083594006,27.978273161053497,31.15074429884097,31.66492405652601,26.900141431961416,29.31705592178306,32.17954330354301,28.434507097989037,27.833711434819318,32.66171978311124,34.036322839839,34.221986841643144,35.25826724471573,37.86963776275501],[29.79193673648754,27.2582647960772,24.66020737563943,21.8678943593244,22.79846509963981,26.431788688272025,26.749054982296652,31.32380205065181,31.224511036867987,30.444622880894716,33.79220280092092,37.10936881059755,33.9741982925255,32.13413422992961,36.91125753244153,37.5902178886511,33.85235357235236,36.752090527282036,35.88307393845245,38.16309107185763,39.80203748975889,42.29749665492081,42.02990756986242,39.33248071833469,37.67138494361036,34.997323369120224,34.34844153342603,32.24049127387152,35.7036822131675,37.6185414082678,41.90777517566265,42.3069526554018,46.57541166580351,48.77065563876922,45.45443093179113,42.14235892431723,41.501888665907885,38.755990354978074,36.56093187072392,40.35744673661612,36.486782581392454,39.257101657271654,43.00076813742098,41.1010645891233,41.39861827357586,39.43594922112292,43.07895571442422,43.89346996373219,39.93367840256971,43.18814094735885,46.10879825896093,46.633540563960864,48.63286585420411,44.095276203985215,49.56309839416637,51.6863554485903,47.76117148106159,48.42960253760326,53.04497580763108,51.66816392430591,48.37412314860567,51.368148906159696,50.867524476700304,51.16603875518842,47.68125428649146,45.38561007048583,42.993789080546286,41.95665994598779,39.055743838956246,39.12599355975765,37.508737895446146,39.98947406278488,42.52301464472366,44.0756664142621,44.73737668855578,50.56715674963903,48.28981287193479,52.262629023302345,50.265697076550715,49.7395437478402,48.42708529586917,46.12534121099714,45.32545562729335,45.010071433265175,41.32652574692613,41.14015543222859,42.665274161627394,45.82202924566459,44.880627126309626,49.89634147142359,47.667168024517835,50.93197398667169,48.663142312879714,47.86222650728119,43.52555299970851,44.951582137406966,40.9943495037658,43.5333517012366,41.701203744195944,44.51231974767503,43.56442825313417,42.545360433803516,42.06441968573323,39.70801629611529,39.09723995416105,35.14139188375045,37.72391950014546,35.16612139551545,32.20134269007875,33.98652280148465,30.17095989725321,29.45968203501094,28.643290673904257,26.43071785727039,28.07036769621424,25.337964927193628,28.129565440448953,26.53552494232662,30.920067703214187,32.29955732448709,29.692420550538163,28.472415032399496,23.90598145732641,23.756732713030722,24.212579194326235,22.66687201627483,24.959740666812603,25.623376157880802,27.21282629007849,31.427761170656122,27.990367238697754,32.410206755682395,31.000892590834514,34.505867638557376,28.68891023127949,27.52115110094194,22.92303256443426,22.307619801083973,20.51600485078029,23.69864852723487,20.990764852100043,23.770963492512116,26.866603151383373,26.446559590712546,29.87918507614524,31.752735460949733,29.182504075385737,31.358747553033734,31.865552343045238,31.89693095893534,34.16558059395058,36.22503475565081,40.72731840378512,42.43948915649576,42.773893307696355,41.65561031220132,38.555084097732596,37.960346425952046,37.28311636702566,34.87611492163567,31.577394006214508,34.20248837737203,29.24838138029441,33.69568613301753,30.838994992911616,25.468763606926164,29.01412699571241,27.993518152226734,26.875254657220058,24.09597328879167,26.967003075418642,26.005947993303227,31.007529368880036,33.37438855518141,36.21805823880729,38.724379388781784,39.16035746948751,43.63124637259976,41.150865859892654,41.25366315465926,37.44606175707031,35.06385717632379,36.157820868821254,36.289354836585446,33.11530916280737,36.320670338451784,36.31729290865609,38.398659704375504,33.811388873727445,35.15221092962448,33.30622459627405,34.048783691329284,31.938117751774854,30.51658565134022,31.263470342364034,30.999331279254186,27.586995208011697,30.727578743011517,29.229424465227925,30.935652635592167,33.77178131137335,34.97449285969915,31.159576685227645,30.3958060092904,34.67287188577731,33.067436596293035,27.798847865751007,32.066536643571226,36.73914450528614,31.98435962420371,31.54929375330384,35.50652340953966,35.31684496974133,31.522356686333623,33.78944020918959,31.192902121915168,36.80500215732776,31.875760027928845,33.48059399059894,37.62868688309376,40.307044578418584,44.367246546802185,44.63137770755095,45.981257447873865,44.14219601267913,46.30841254532168,44.23503360361566,46.169506802239255,44.598100846839735,39.04354353124527,40.95579611501528,42.02899701584969,37.80612610390175,35.907135867432345,37.68212188537063,36.02622092238253,32.473027548438154,31.222877848595388,31.34836294697758,35.03272280745295,38.547026674602726,40.028591839054705,42.90630004582771,46.8130385803663,44.70776958124919,40.21834727252628,43.53472193271156,45.34981500532814,40.62118854437074,39.50392220876124,43.35356373570837,42.62122248176657,39.02292586577341,42.86561883584981,44.777149918657,41.331243376559044,40.95750498690047,44.23721781724405,41.66825313151926,43.585463986111385,41.86528783425075,43.844858166422625,42.81293150334516,37.449099735649085,39.023075575340535,39.578287895612526,36.76394294543812,33.90975566760807,38.11162499466363,36.518064869984705,31.430484738164044,32.04308091787663,35.7239009486823,33.365738070192144,29.585671621919026,26.411553963199562,27.72980697355395,24.48696566814481,28.52622179974768,24.791863151513606,26.77808832814921,26.073834075212734,22.257128513914722,21.63448488006835,21.109783305146916,21.39988386774995,25.586480613647193,24.205934547978966,26.398098208002644,24.899435142833575,28.613053964996944,31.84974806757245,35.165775683029544,35.406037243054946,30.76093437825456,33.45561993965269,36.12540724874207,32.05085789187412,31.693114622119637,36.55730044346177,37.7376179038207,37.69316196742591,38.56003727577921,41.09652554776998],[28.36186144586644,25.686306851206503,22.743427740354473,19.306182729187707,19.823640680268362,23.041047185965205,22.80847379193003,27.295804637563684,27.054386369044924,25.934237070421936,29.264910283217628,32.62983631202785,29.28547827044016,27.44667724438552,32.153955822997,32.795608540240686,29.012748528617532,31.91194341753066,31.147880357775552,33.44060694497198,35.205286697635756,37.82352696642044,37.67379656116819,35.14752240303764,33.324319832627914,30.476072277166743,29.71471807577988,27.46779551900724,30.88782030318699,32.82567573140389,37.06622687820707,37.53408090750261,41.790295074005556,43.94065381709368,40.65109929639432,37.33472196712509,36.77460052395405,34.083777427567114,32.013290320302595,36.08690951017938,32.18881568235575,34.78414169733076,38.633980348160655,36.94984333137218,37.42362757360796,35.71623278833682,39.44945948363975,39.99288543839757,36.158159362948936,39.66097855076672,42.30063305437057,42.82267716952603,44.62797732188778,39.95533800084146,45.279765985190906,47.49728823908446,43.53527995656196,43.967883352231844,48.62917558439384,47.43540657765671,43.967123003882236,46.8191504173148,46.19180690498015,46.59047022291629,43.18377234259961,40.75882286706779,38.33464121207823,37.17946519738827,34.33633157463219,34.35565658117098,32.824923265163925,35.42660829488267,37.81850900374811,39.39758077075849,39.93905412549605,45.7921439773634,43.52395545515491,47.463574846618556,45.51455899873299,45.094673063910655,43.80280694340809,41.65959401606691,40.83324878901088,40.7304742150172,37.064363813181316,36.62482404656586,38.05400825507559,41.13757709248759,40.12369115913434,45.0862544852104,42.83041594982475,46.10217107684163,43.829195160298525,43.04012483054534,38.72743600109522,40.2165429432965,36.30783997438348,38.81982215374251,37.08794407802081,40.09345594493872,38.96118951075509,38.21201119340894,37.580335202323674,35.524775943957515,35.13623052111553,31.291235260920214,34.228294338305126,32.007379135087305,29.137880470433245,30.50279357495174,26.631557392451903,25.427359294154883,24.39981507028114,21.933534096817866,23.33153300090693,20.523050782793224,23.289071633172064,21.828321671987325,26.245367541095273,27.48583052132817,24.906489786150356,23.677858097702686,19.088049065318884,19.004233872874067,19.704005768597202,18.254948070396335,21.13910645515939,21.74602606255209,23.69888903476093,27.9678256573415,25.198911435618633,29.737827344841506,28.261266532381264,31.317688073566778,25.47335387872776,23.770898680732255,19.63657895956503,18.380697275549778,16.213803351518383,19.23230644480909,16.474497238900305,19.540662071996415,22.340094800278003,21.789334466087503,25.318474553089693,27.05159761460748,24.46744028663378,26.678785090000567,27.37367552449924,27.478296241527236,30.039406839971583,32.094004878086515,36.72248310197575,38.58628036211776,38.60027668527966,37.36099118758248,34.112251380399805,33.664551309260105,32.733113647727116,30.59191679448173,27.232752750720138,29.63189696586355,24.81468079136604,29.35034734357593,26.829067272073644,21.679567701755598,25.577021223256853,25.02600083679637,24.10995213510577,20.905777104886706,23.62508871369286,22.105552923788007,27.015284640291558,29.240878249306796,31.91730065761868,34.4417474457357,34.62832359267736,39.271261945229405,36.836515509112864,37.13036204247207,33.44661860186624,31.14595692008325,32.64691823498054,33.01087501178934,29.702039283974607,32.611982551561816,32.338286354629595,34.74438990457555,30.376786269560636,32.01520004943738,30.54355256955782,31.091296392172683,29.399025731833344,28.022010920878138,28.985056369248305,29.177065674636374,25.52860266454334,28.77543480569531,27.47423490389461,28.609336939473394,31.960080569399388,32.696646635245386,28.747259254751874,28.738184658563142,33.01147877352311,31.02346206190979,26.265914871136445,30.855291166136436,35.108833005858145,30.320060224131794,30.4241311092001,34.418138756114296,33.76538948235505,30.349031111686067,33.161810171241655,30.728180120426508,36.37879427013402,32.11808651043838,33.144325111443585,37.27137460852883,40.127730304536584,44.38041652351617,44.54003352759396,45.367982940004644,43.33333615038583,45.25602668950009,42.74983935272157,44.95532955504486,43.81224309447496,37.96213945828635,39.61913491953806,41.23658209139271,37.1982819714748,34.86105553556411,36.584423681040334,35.67641067759243,32.097000075623576,30.080158816787765,30.075122524764556,33.03377664837269,36.715745339163085,38.18773580764372,40.68378130718758,44.63102095489864,42.10072455143775,37.836864869829306,41.426333071301514,42.84317199923477,37.96930058410166,37.328755488431085,41.13063924724159,40.221062363838044,36.90588550416718,41.07108633770662,42.83832522648782,39.35573343675495,39.46265535895388,42.880015412772046,40.46196992409769,42.25410224168644,40.26635670887626,42.56760464027566,41.891836297745684,36.31618077414303,37.87181863992152,38.965364528747,36.222642236630065,33.10359043744272,37.71945394442295,36.63791203088575,31.31554194324286,31.74400942365354,35.97596777223505,34.0423910344453,30.124964487180065,26.74342896034637,28.937740775968134,25.703458046123323,29.35946061770298,25.089727592443367,26.318089036343487,25.026726948144134,21.90140569700905,21.1617614209311,21.275692182111364,20.956968808118457,24.670513601482448,22.274471956350347,24.16014629870001,21.977308411683637,26.072681427188417,28.94734743734912,32.44188976481188,32.166838057336136,27.731593727503423,30.912375677875605,33.20889783194837,28.679357476398486,28.905460576586282,33.75486114517759,34.55534331307254,34.232106302992186,34.94250298907815,37.42144238101835],[25.678485999054722,22.69687018696803,19.069999422987237,16.776716729150483,16.233990953789686,20.732842848845433,20.936922197173548,25.336408282963024,26.155347682402322,25.691904196555615,29.341130057348536,32.10363335747509,28.87391432698178,28.001669533246154,32.671823139749264,32.81774088815091,29.307043519762978,32.61359431765435,32.4776419271976,34.067662917555445,36.29730718162278,38.52174463385049,38.90193501157085,36.549109861689814,34.16793671291103,31.610791531363745,30.105901460845992,27.853398780343934,30.943411576827998,32.32750029231425,37.401569059191985,36.927954105198964,41.36779753222455,43.775679738051835,40.197472923158095,37.177658426619026,35.84726781743471,33.547991703769014,31.23446396422126,34.739879957613695,31.656075386907848,34.823046967508574,38.375892227015584,36.73583251702582,37.66865052715039,35.86641699309193,39.551421606717945,39.736259948811025,35.50799820115178,38.646936667025514,41.22330557681983,41.29245749098035,43.295086590581924,38.71129434147992,43.94607223475737,46.56701617479248,43.026008767625385,43.408915438189815,48.076693220750165,47.21618618633197,44.15230582015215,47.26741032251374,46.587186008324565,47.61882102637539,44.01845873550147,41.26145436657227,39.617681668697564,38.1879046942295,36.045262559487746,35.91487262718179,34.89985084191105,37.927100709829084,39.714510760544925,41.274911275649,41.105086575515756,46.883091679847205,44.10065185436908,47.77116158420325,45.43798239541862,44.7554826055008,42.85579014709698,40.32630509320422,39.05742675025204,38.5410180670418,35.10855724095257,35.16725270302068,37.31768783915913,40.17477910716363,39.989426164392086,44.89963485598947,43.187162344212716,46.86677101750825,44.537238876725525,43.406131490570765,39.04554726782743,40.83256839266873,36.88707017287301,38.53991440388414,36.39371059027282,38.74355983871418,37.61137202163582,35.95529742280864,35.53046381192229,32.67765562160844,31.767629850006493,27.719201136453307,30.062020634912013,27.393009987825117,24.463183570290454,26.424783274582527,22.84174826844807,22.366774744341782,22.198981313726883,20.252396705780686,22.89782991796762,20.567851771382642,23.87599450592278,23.477136551160676,28.09268015954434,28.745838537916153,26.55453321220104,24.88114068320669,20.40561862141423,19.382483821954875,19.131421760297727,16.450361945721465,18.164064282481476,18.386842450983746,19.62277332075266,23.783017537855713,20.212814774033884,24.6618227405947,23.479030554225478,26.937262892589377,21.234791355942995,20.225834601209773,15.278287452600319,15.311573571867408,14.322503371730225,17.94786135501415,16.848884381973335,20.367387632257213,23.107499827966315,21.88178846858288,25.203941832183542,26.524474818845547,23.772836171391035,25.550198614282426,25.48530660611833,25.736878722741263,27.513298248780334,30.12240002895196,34.249005082877645,36.52734706596556,37.01855595805209,35.51221097185184,32.54587516843675,31.393788889175323,31.07945383150637,28.011473935785926,24.905588310643594,28.183583228230912,23.405779149807987,27.869032550298893,25.422204250617554,20.18166671662597,23.32871479228094,23.062255533092614,21.191873695045178,18.14755727648873,20.529679272985387,19.617243119441493,24.671444087554736,26.76264676164507,29.644730402872774,31.884925138127045,32.778512609951186,36.869245702988124,34.57096410747264,34.34214584977922,30.76898731942133,27.859822033494723,28.967852878229085,29.328934521962314,26.312371532357105,30.07873968970978,30.602968685949524,32.86484494680755,28.90529021121679,29.60304699232137,27.758985537149055,27.79204888630838,25.517740618793198,23.66351743142391,24.15632650707089,23.867114995283714,20.106219681319008,23.172386740039464,21.717216278155828,23.244998724102555,26.34821909087393,27.495725149475334,23.704821427281065,23.29008236602075,27.669520948833593,26.181280103145372,21.332755019197347,25.728759469475154,30.281719792254407,26.01799323346083,25.996605093021575,29.983171024985243,29.840111413619734,26.701424276551293,29.209416246474557,26.447466354465554,31.903857924176286,27.223173837988245,28.005460983507117,32.15627107259721,34.654029771378724,39.05591094528582,38.91932255565041,39.684388810522876,37.536361631781254,39.41659260687295,37.00470361321798,39.05501342811009,37.847255011412166,32.066768744934805,33.733535555026805,35.22104948238908,31.164611311943506,28.87996692108633,30.659081935868535,29.660355405110636,26.047291791801815,24.17326858797079,24.14960904008169,27.417079117523237,31.018686029366595,32.572991913712805,35.28350213372754,39.29323016994625,37.06281172486682,32.62536611817216,36.21378753737303,37.97126979424929,33.25185638564066,32.38700649364746,36.4304220217355,35.84686928258235,32.42182608527516,36.31961438778436,38.41984897070379,35.3115514821176,35.00635240202511,38.20249320209437,35.539176141458505,37.068355777712696,34.96851542611405,37.00842792807374,36.47465549424777,30.987622306673106,32.217696828548334,33.27089083480461,30.67503455055936,27.349798646569482,31.810738926614892,30.90346523094975,25.617044969399437,25.780395860188907,30.062956971774703,28.360083474999126,24.468456596087353,21.317333589236263,23.73922113558654,20.931765578593303,24.64308930076629,20.59319935718319,21.474142523500298,20.823325227033287,17.868707583166096,16.397084956892613,16.120942562506816,15.328985447410739,19.008773076704696,17.076478973908653,18.809370408669047,17.404438740175756,21.74061865123158,24.69029427053351,28.14014559537273,28.600454218007297,24.104969593805514,27.192934257089405,29.972869488160963,25.9118375227738,26.365494247547023,31.114812254649653,32.099505690746405,32.11990888751425,33.12467505088013,35.674490682477874],[29.997729573877997,27.112297402667938,23.6539435655845,21.380111904654033,20.937508440532536,25.361709440685186,25.35773145872824,29.72934911235581,30.3427747495146,29.465886823238762,33.0194586910345,35.99698516940653,32.418359233568104,31.29400737809993,35.83247585466814,36.00619671719499,32.15177493884515,35.023441424975765,34.1978444407261,35.87393265672507,37.61800940613555,39.65030679462254,39.656758795747294,36.94301388506639,34.98592256033958,32.717598303016814,31.72577043624885,29.942628923482314,33.44365198330651,35.310501564810934,40.23289610875822,40.17814366701464,44.626118154128775,46.68765238327777,43.06156053740139,39.750252727732914,38.72218326646047,35.78076749082891,33.26527981857919,36.479735555684314,32.951246283767475,36.196622720642324,39.658596517172505,37.591645214260396,38.04724343992471,35.906140997890645,39.483280386148394,40.200326574943546,35.975506652435215,38.93797581815494,41.95453085839294,42.29248665613896,44.49228868229745,40.10596739181001,45.67553056187873,47.84635491732887,44.15111412604523,45.042725198723765,49.598525490742475,48.21444721961073,45.31732968300072,48.65280343713434,48.32921813525333,48.92797617249495,45.16868591352635,42.82394604808177,41.10972024883424,40.152782960516554,37.81452757495543,38.139869442573826,36.851322263226564,39.71800282073579,41.77022334931882,42.97478024827611,43.26181601043054,48.89890781692572,46.10045179806254,50.01427090482098,47.641605402556294,46.739975447345984,45.19428580325593,42.50505168755536,41.777762560888384,41.03198865016874,37.331588848928625,37.64233435418566,39.47471485469493,42.78198353879127,42.2591686385007,47.48445620073551,45.67695015754468,49.28231759461422,47.19230395238699,46.37865544917884,42.153329683891755,43.999780457939124,40.17104248151463,42.039489575591034,40.14193461628701,42.8105706970155,41.3206122270186,39.94893899630331,39.10761610218476,36.511978472028694,35.20803072856517,31.43398024500752,33.80377753520837,30.984598629974542,28.411298950598585,30.503578780481842,27.160640255334616,26.34269786187184,26.31387540842738,23.920115251050927,26.232191312532212,23.457242796410014,26.308228924184345,24.985827844078106,29.55672782211374,30.916658594428416,28.761319623796695,27.57327775438479,22.940465331198475,22.56174156107538,22.92555840361548,20.227682786650448,22.56213315511715,22.377761877618457,23.513931847360322,27.274595919239758,23.56595184467211,27.81360582947084,26.068229208357643,29.806837333510266,23.976421079206073,23.323011461509964,18.76526493195469,18.366038029369697,17.032961215927337,20.36247756200358,18.28039756739037,20.955827955922043,24.31399896946335,23.750334140391782,26.8902206590206,28.91948272632295,26.456599520913226,28.77730272553062,29.082267459076164,29.702625825118172,31.73569796900235,34.452071005547374,38.64216323337703,41.03941766467272,41.32482568713419,39.69690617936515,36.54514202921106,35.444403978739565,34.755623655074906,31.719727473049456,28.07323606588858,30.954551575690886,25.707444517357626,29.935230730714853,26.739182181283965,21.21777121025784,24.30109898850151,23.17303026617378,21.734660481824836,19.195888182908458,22.098247358510864,21.69045117172608,26.723103325529472,29.285152273782803,32.39757307715873,35.017141436924334,35.95682678490858,40.04040719608836,37.302362523119974,37.165854317738656,33.121014231502315,30.89480735858973,31.43851479612701,31.321950196744794,28.249651925470236,31.68927925206858,32.06320064130452,33.865830144324725,29.33294594301487,30.23272441285429,28.177622845829507,28.89496111701232,26.598026646524236,25.211757845052624,25.996023203123542,25.800827435769907,22.679584169750104,26.047160935570613,25.039900179239478,27.027804430402792,30.07283040808124,31.58951047616488,27.93701167899872,27.310197216711938,31.74447347541827,30.58624454813502,25.640205842365074,29.835825022730507,34.61150659554265,30.491502776748234,30.254198278388255,34.21950903485952,34.30592303876874,31.017317677070945,33.26206208679568,30.383675290765343,35.79493325756034,30.560047538217212,31.661463580071526,35.830977721775135,38.017453391915105,42.355805162660864,42.08400256267985,43.09797986622223,40.89968794296851,42.745784909289,40.48434060545395,42.1332011039825,40.83003502156951,35.31513832285857,36.821408631240374,37.80546265327799,33.82272320052254,31.710487679952816,33.099716186440126,31.69875678661715,28.411771762324754,26.560457898947597,27.287536482729482,30.660472237236593,34.245274800378866,36.19035917028392,38.9896402175803,43.1495015482209,41.03473496304252,36.5796883461811,40.3022531814548,42.22087801605359,37.581998513787845,36.70101413129549,40.85231462277134,40.39006678318629,36.932723575794576,40.68848314814654,42.907810163979846,39.879272734916064,39.3834519867034,42.4763927694215,39.69077428493974,41.13796619818109,39.027373334219185,40.78459264287432,40.267467522348305,34.93815281045037,35.893554033042136,36.70113450934057,34.212130132505,30.830501486805964,34.81780949119758,33.787343771101575,28.744920383757513,28.61921819219307,32.47001701204577,30.694668413767292,26.992862247211114,24.280949619661893,25.89767400405236,23.32830089297667,27.512148697438256,23.955176323519424,25.306923480869283,25.06730265090357,21.71560148958887,20.241624701450522,19.356427934507103,18.77304301570625,22.692708319268558,21.362512766808642,22.818592415514715,21.773889720721012,26.344124604474434,29.22977351268618,32.698104618203686,33.21343774496191,28.785127261955246,31.883984690105223,34.690868187371834,30.581443573477866,31.023712525583285,35.789695581571856,36.77116806885189,36.725043117910275,37.666617677525146,40.16701423613753],[33.442118128275446,30.67912347994366,27.428035695226217,24.259913323224747,24.094896057774076,27.632612995893915,26.985722226352827,31.284014959723013,31.177032951079816,29.541436004457644,32.8066761943635,36.202929073426496,32.26853016118874,30.530363297300582,34.87173868782384,35.29113279719542,31.104768982754067,33.426627054608794,31.872254646643565,33.97736316778004,35.190687231313824,37.382690135237,36.90101669926391,33.97685779161565,32.55895415782649,30.235796199002472,29.955332753841528,28.42972712763456,32.290367981609585,34.749383000881146,39.03940887948802,39.80199495957283,44.109391894362965,45.768831557155195,42.319299858567305,38.68771526354514,38.33595411878539,34.84653895813456,32.454199200685636,35.97507487999734,31.710504213451504,34.51424159059182,38.13166073651351,35.93136605280296,35.91386608145374,33.805316322763524,37.376169073664286,38.46746497926376,34.609450315750394,37.84135865493789,40.950986485414425,41.7275888814036,43.77753453503449,39.393312324652996,45.084254665032674,46.78965569983443,42.73898710349482,43.81234780451225,48.299226666137095,46.51618241015946,43.378815401677954,46.581396900448226,46.43672010970339,46.441359735564056,42.771731268725375,40.82646837270826,38.60956526955735,38.06068723171296,35.270511526954785,35.95818574275331,34.280199976809854,36.8348736989202,39.28036237038264,40.24918110193892,41.16291143268615,46.71184283256818,44.226074143725704,48.40133825415752,46.273269373982664,45.46390291350566,44.515050230353935,42.07812769933547,41.91264430843736,41.42093725837887,37.46620445696341,37.46432194144564,38.61244058406559,42.25034578369723,41.0023744762845,46.38076232214713,44.20155007465839,47.50408905889819,45.61607018759887,45.21102000154087,41.154180957107314,42.90043714268961,39.24282141217117,41.66245939758282,40.21810397946108,43.526340422567685,41.7213018525547,41.18290475187096,39.9050900981114,38.09251581152404,37.022233951518025,33.58145019301742,36.51739055228012,34.099676920404946,31.77272501849426,33.33452736667506,29.913043308905642,28.25297154584703,27.734993010926125,24.72036379050929,26.043633947112426,22.7843323018722,24.965719640650164,22.57825706274728,26.90517474751091,28.957553869760762,26.70798842046716,26.113759758485983,21.471851358405356,22.010391884174744,23.317137300167584,21.27104489230423,24.787130374497803,24.563769957350278,26.24513098960738,29.91863251640478,27.034918702352222,31.322873930948347,29.13933890245073,32.44987655705496,26.49854280848966,25.271233639896938,21.637283804044863,19.990048452730083,17.694581241784945,20.350242804886296,16.856988877458125,18.750611940366053,22.279760686980275,22.462587914945622,25.580183544499604,28.157221696347964,25.99912498477473,28.854834997109748,29.878504854507785,30.670557870108443,33.40799089829271,35.8779156946515,40.42220452545674,42.74764229323421,42.46452856503694,40.84356350034019,37.365230387897505,36.76357872446834,35.3832653908285,33.04887655690712,28.96931898489444,30.973720737325667,25.595273323627815,29.72091133652344,26.312660045259403,20.950014123686916,24.62701952190655,23.195893141192737,22.783047684679662,20.167559384109673,23.35620171635639,22.47906259639551,27.27441455784864,30.042968026109723,33.02563900429351,36.005184591414974,36.408468266357715,40.88452679240354,37.86944575299789,38.21158909845221,33.95706883157464,32.50605556195659,33.2607044847392,33.06617228748423,29.72842620058539,32.246117653329065,31.866551475341417,33.69273024648016,28.774167420715237,30.583053325779225,28.944921970353867,30.199235346819147,28.579923164936186,27.75662773244471,29.089740031120833,29.53122165422106,26.588948396308353,30.22336550221884,29.58789536371796,31.165737305855654,34.655799828478635,35.80001800002079,32.01633684747614,31.988760771967797,36.402041998659165,34.857489414014616,30.199290877648856,34.641705202475244,39.1074054278405,34.71915735513206,34.77842867795369,38.77369713981711,38.4012360006191,35.1142012947369,37.73344488560558,35.08029311720557,40.6214818291253,35.794799172241305,36.82626923284569,40.987718747171854,43.375612171038206,47.721370223876924,47.50939184359557,48.351183776295855,46.080497186872755,47.79230186162173,45.26880092661168,47.01254583937946,45.97359809073059,40.340550803847115,41.62119745170207,42.81921471265912,38.99744209216372,36.651655113879755,37.82549302803972,36.802390906936296,33.65044108079461,31.25384595495784,32.168846039608006,34.94749581365894,38.67965876225774,40.728715322334644,43.20637555227939,47.42629080343774,44.919184134930084,40.68884829450753,44.64645509968738,46.1981457930353,41.40645516574934,40.934618309197944,44.97780930315666,44.27615802050784,41.02842666370309,45.07903616242135,47.07894293610612,43.845982407087305,43.7843320799006,47.04984959428797,44.43691131777125,45.93233418274339,43.71597867185276,45.708981230827455,45.32739187457939,39.86787043234656,40.89936575373121,41.96057649538468,39.461261303625214,36.01643884525624,40.17643716304417,39.298680168730385,34.17918812724303,34.00979631980959,38.000952715600796,36.31126298858784,32.58623557231684,29.753347537591914,31.475485743384663,28.72768017455983,32.80849979756062,28.985209731217108,30.268662718347926,29.487160530920455,26.28065386006745,25.129269431707918,24.644905800065292,24.040165149074397,27.7955211858784,25.788943014260134,27.06364694330098,25.316365538632972,30.10196068585834,32.71461843993166,36.33458973918804,36.1690409337878,31.923242828559225,35.374035506768266,37.71710677667758,33.07698476044861,33.76003341619955,38.56802287018178,39.21869419437766,38.78843081329068,39.43850892589465,41.82510154222472],[30.242074947364035,27.247246141095108,23.40352680030426,20.31402314859623,19.103417367066395,22.83522846100631,21.828675549993978,25.921430546105245,26.324229335030463,24.730905762974782,28.181416958249322,31.230313723602308,27.13449052770678,26.0492677751106,30.302162794823424,30.345983565613217,26.27069391286651,28.909938133821196,27.944829146676486,29.57969854459418,31.318983039388815,33.41182126267334,33.471942148259224,30.87834455303478,28.80829369047775,26.437885288609408,25.44094175778235,23.706792368216703,27.329539723253152,29.448380418799317,34.290094950253405,34.48104764054164,38.917544844965995,40.73028907124058,37.100236552232595,33.65234549363328,32.850011392212906,29.673969830116196,27.224275163760108,30.737289568191372,26.968652437919552,30.01920230454978,33.60335594105161,31.688232257069036,32.24368854983664,30.37020824263566,34.059556699640844,34.54708561063391,30.508021861799534,33.822141831344055,36.5642953179937,37.011108045538506,38.981426434740676,34.441870070185075,39.94787993109755,42.0860771156317,38.25935801837631,39.0005718647976,43.591250385342136,42.27488397366183,39.17992994897664,42.40834379176991,42.051095121874,42.640432648223765,38.91743649571136,36.54118806647474,34.81671462323969,33.89803082819081,31.65496698588789,32.14560260880212,30.932639963442675,33.93324263503251,35.79964788674879,36.83065640895295,37.08858755363445,42.65844128441617,39.82364752657061,43.78439126636586,41.44127077507658,40.58421474097541,39.212430718983214,36.6783723829683,36.15664341908536,35.63274123117392,31.821192071704655,31.85990216575236,33.41999144221168,36.83402168004346,36.077655231516054,41.3792909167969,39.52885717584446,43.134798067202425,41.17152907360337,40.52296456251965,36.433506341875365,38.44287708546204,34.79491150280238,36.61819139807209,34.99831002818012,38.086027698642525,36.091071218492225,35.257345258764424,33.943860544462005,31.946737971262635,30.780158161935326,27.33470964686763,30.312787982574083,28.001011788851095,25.782899898368324,27.223387440694474,23.96041291333622,22.135030210568498,21.952426735571144,18.90460511607151,20.788415499322703,17.70086706010606,20.258390669010627,18.79865298971625,23.386654823904628,24.834094136604012,22.877869118062616,21.943497735533036,17.317646839332674,17.297560772026483,18.305976361876073,15.484810458629259,19.08332387066953,18.447980331130392,20.10454323374163,23.72096242178205,21.15228731856882,25.492780768309604,23.37399619423274,26.423292990830728,20.47743993354648,19.041589066467026,15.546758948847188,13.739945960409832,11.614254370785593,14.548298996883181,12.030163059405172,14.802631079040705,18.018070011041953,17.509740955930546,20.678869467151724,22.84660165949905,20.519689847982463,23.19202392927156,23.953915367188777,24.969023051947175,27.54815788614302,30.364552295543668,34.717545281467906,37.44710710444678,37.13018233732333,35.218321145308785,31.759087808656535,30.866132451878997,29.587527424770624,26.934349204401283,22.874085700453524,25.222054729850523,19.906602440319826,24.181480365080382,21.15905530305387,15.818279665825438,19.543896434524488,18.903976455599178,18.048074691897742,14.893930308839495,17.776503531733674,16.58788117639929,21.504702200147108,24.080835759085716,27.056630779304356,29.908037161097457,30.50028249687008,34.84144946980329,31.948447812889075,32.16462321256147,28.08030746544237,26.31882291800784,27.29272899147567,27.36694246972957,24.011570514945,26.793815461775328,26.642177326834688,28.80960454323529,24.38416675832742,25.9096468544553,24.444237513840164,25.110291852924743,23.588519867460093,22.5045593180155,23.821402716551923,24.51452475702879,21.273236482940984,24.913164019539384,24.449645214652044,25.611529967312844,29.473346326590935,30.34632686033785,26.570801151951482,27.11986047819595,31.50544477273136,29.877241959122635,25.794332555162374,30.344684789994048,34.48014396825524,30.41873704714725,30.927324126927747,34.88081193114726,34.34530087481059,31.614946789012805,34.53475837469874,31.912807055672868,37.29830562059196,32.962103411647476,33.31777257001759,37.40436407957217,39.75628920895953,44.30769472743701,43.8624945120521,44.16282984235337,41.67169882343156,43.11280902563122,40.23056626275635,42.16266074797641,41.52026650337595,35.67987760705042,36.70075093731003,38.38402014569221,34.770553851261354,32.03524512972971,33.18213855836423,32.894339046008504,29.730310716289903,26.649189450737197,27.41251676421099,29.544363628222378,33.37587574576444,35.440176981909154,37.62188203532784,41.88685497725954,39.12847261620448,35.06452993175682,39.266981730219,40.59290905751489,35.77853590962969,35.67522898685424,39.762148563439105,39.072541591662336,36.0815228225172,40.25548976608112,42.275175287956664,39.24562972282432,39.423196711784016,42.665651858216705,40.09774632237463,41.31915097119706,38.80706838091546,40.960209655259675,40.99962620541902,35.449656411355114,36.28111258821643,37.835800682761096,35.51219167694378,31.76246011804062,36.19320571887563,35.90489078194864,30.661855280683632,30.191483149796095,34.68723872364006,33.532127145230334,29.751013182402502,26.89036564933997,29.493025095110408,26.98915220725769,30.657173184068224,26.540573482366792,26.93727224667008,25.953816037508744,23.558801252465837,21.997968017600893,21.924844478063267,20.552976514832057,23.680862571829742,20.952034403763683,21.718821643452365,19.701971357568983,24.99067330665385,27.193543220550982,30.92912502151111,30.64695743761102,26.657059624116783,30.506031403518772,32.71129500732809,27.932292213293405,29.332991070157654,33.997350824411754,34.37418411952826,33.870706657909665,34.52993635876656,36.881803566931225],[31.391090088612597,28.29061394944074,24.17159127237744,21.80706800796584,20.04650126910984,24.47931836751998,23.659363770865554,27.629701120818734,28.56939319230954,27.1822841493663,30.731273959793313,33.50233018353806,29.326220401400718,28.70817037744808,32.81552611192375,32.56322080237256,28.510447214366433,31.10664768442145,30.13044068758249,31.32473175926061,33.036597843965346,34.70400662928643,34.87902667670156,32.187392627254354,30.039563617205655,28.10813830491191,26.956256828083824,25.5693242155416,29.175281322737813,31.203832556503194,36.448566677971975,36.28215290836107,40.808545209536895,42.55690308821613,38.730248480023164,35.32280006843535,34.20130621754216,30.894953084857825,28.15874142115454,31.011723218766413,27.557906686582818,31.04751129606662,34.320449821768165,32.15165699825706,32.699638409623006,30.529945357352556,34.08628088911625,34.68461406615645,30.382535154047297,33.28716218272537,36.28401020963443,36.59238934212002,38.835989123719024,34.52067282140789,40.17035407585123,42.27274952292848,38.65649605254119,39.71057789930907,44.20472841347293,42.76951117209718,40.090795188326105,43.63132732503679,43.47807210110882,44.2071034871217,40.271961472242594,37.96259668650406,36.739070627095956,35.95344049102872,34.068317294900346,34.73673214134595,33.69185296871064,36.82394389574436,38.462364923589064,39.25548951022429,39.33862750606636,44.726602520014815,41.5599465204958,45.471844337119975,42.85758912040421,41.67788619463908,40.13349192119949,37.23318257658488,36.780906252511244,35.805585334420705,31.992491282501128,32.570640963005665,34.40816898974355,37.94471152212121,37.53942033056997,42.973907192329996,41.43890511231287,45.24051904635281,43.404730294690395,42.737028464421016,38.73134455366497,40.947856307981404,37.372679082232324,38.76956693981926,37.04759332972092,39.883791186775625,37.677922819280354,36.42913532083504,34.986211404227326,32.633120495845276,30.82943742871405,27.469300470864113,30.034551997210997,27.320462795713482,25.352045151641956,27.27882410568032,24.423790813913154,22.88404670272553,23.394857516752626,20.48069526585588,22.95262425379841,19.994360074556564,22.557025095180254,21.25793583319843,25.82652059757595,27.307710836366542,25.648676840286925,24.73459099295716,20.20281188866507,19.96265325647282,20.682815423948366,17.144257272267584,20.2371424206161,19.063083949680713,20.099092989852956,23.28573157071007,20.079507953011543,24.18289416268077,21.822083417750257,25.355653124190574,19.43230495773587,18.813882551198702,15.086497441704935,13.964608583118762,12.612382349105294,15.669050971600795,13.82486796184381,16.17210923143138,19.686475444454025,19.171160041573934,21.967459016361598,24.290913911748525,22.094283434615278,24.77121014786192,25.237420136652137,26.577845792960836,28.76137379600816,31.981904270223644,36.01134295063856,39.064772214824345,38.930411577426646,36.78548647190382,33.424612382305874,32.10355478157474,31.009821662628937,27.767257647808247,23.555993486769992,26.224622166748226,20.688768597120518,24.660992484047366,21.165022533449662,15.602348655621594,18.617128591220172,17.52354465053814,16.23625250386827,13.617266514124209,16.65784300111788,16.397387226259337,21.344566222933903,24.152613458645465,27.42173799952999,30.31682555678394,31.43845742478929,35.349996216621086,32.2613797738164,32.16815922676213,27.842387707984,26.159256030167555,26.415644559922917,26.12671099024229,22.94694584639664,26.11387795678955,26.452483571797128,28.160096226080878,23.63532230883142,24.588204313574995,22.682374303786634,23.47831590186041,21.51038237663916,20.438434595970584,21.670445520471162,22.15270498981144,19.31910036293289,23.08867613625771,22.909997352229713,24.63082943928966,28.31217570477689,29.6898410159131,26.140594645977295,26.327730588146395,30.792231200478753,29.7097961085764,25.577823786615255,29.850633930759557,34.27077333112607,30.668517577300353,30.985516621425898,34.896191154197375,34.80667250435179,32.184339631065,34.76210207487317,31.892829229295987,37.095694344571704,32.222122569577635,32.57214397288447,36.657529366242116,38.56974636234259,43.17391435807434,42.43251049619676,42.80518736254045,40.189549778913225,41.54464005990327,38.79336225762629,40.35370332740804,39.653144917007445,34.03362253848584,34.904229822620984,36.194083378714154,32.66248769776677,30.03302344406602,30.90718969855152,30.379475975402077,27.452667840234092,24.35003615032757,25.67049912181605,27.985769482609722,31.75911783224264,34.16766965979705,36.51695613755836,40.92617883740177,38.429534163387906,34.26619997776299,38.571850194419625,40.20696114329174,35.56457176530508,35.33228725090835,39.632368838330606,39.23271329427859,36.17803199425429,40.08144417353609,42.38026065919056,39.654462442172104,39.46818753682635,42.494953465733786,39.70853860451905,40.68693372957091,38.08003881116714,39.881762221817866,40.062899739208824,34.687031608381204,35.100020147954474,36.50880127174312,34.37978191044794,30.442069691448967,34.4556555883366,34.271246207837365,29.232577138905917,28.345300010942218,32.619087134158995,31.645718570694907,28.032885081501004,25.636594216927676,27.9325594890948,25.896648872286978,29.80887564150924,26.13888628641404,26.54606908966389,26.19256586030668,23.72585137590909,21.73363854002429,21.09329824427265,19.487243431858246,22.634028288108915,20.566461467934797,20.969267434248565,19.742183058283945,25.31267892890202,27.482231356859426,31.17816562962672,31.403696770985697,27.45951937596601,31.23312771407444,33.74077861861795,29.263775602053553,30.779219380854794,35.36346653367543,35.849957121048554,35.52728738237929,36.333174249171776,38.68864895836835],[35.1141845202874,32.07587844043591,28.081558404176718,25.499698646265365,23.929008438694357,28.096874791332784,27.03339865658133,30.94680069147795,31.58535013298991,29.774708815782393,33.16253069130471,36.138283983327014,31.674864403625993,30.775259026656023,34.68491275332375,34.49004986553013,30.165559063443375,32.274371209552285,30.626123356592316,31.93112632328431,33.12594810361662,34.6356461509853,34.41653271839489,31.413996583326508,29.736694383002156,28.07642454993877,27.49995294818095,26.582503230964445,30.519460766947258,33.01310802835473,37.958348702527466,38.27399502333164,42.73790825390675,44.11776274829018,40.31963908492826,36.65417730847385,35.92368985213328,32.04058203400719,29.21719086866434,31.87179247511748,27.932566562993884,31.33650663654101,34.52923346624377,32.00867309259702,32.0601694233013,29.641959317521813,33.084148284248975,34.18758043919446,30.018020683305537,32.831318753102444,36.16921763783132,36.80097941958956,39.13614735850308,35.014534520426196,40.899390162589064,42.52121027678164,38.72607209774478,40.21408035272315,44.57046037139789,42.6449263331234,40.065562018427244,43.73279479020779,43.90300295726457,44.173628296358046,40.149076210892005,38.2684114555157,36.92426970100586,36.60675702606832,34.531335685997355,35.634105720153066,34.337959548591996,37.28151563508039,39.144055902227315,39.58203814227699,40.12213053997705,45.32856236062091,42.21621947481452,46.34096903705527,43.75824291428244,42.43143479978589,41.30985949347529,38.37545114847252,38.48077848209258,37.412342740846704,33.379429106244274,34.05844216669304,35.46195351066603,39.38470032508612,38.56420461115744,44.23150535921812,42.56807255193712,46.23306476244679,44.64529455017531,44.310066638179286,40.48013243181795,42.72031310212746,39.30416956740759,40.938992102143935,39.51088071422164,42.69809869626673,40.170020594298265,39.33370392205953,37.501687060181965,35.55634148107912,33.5768987972344,30.54100261518267,33.247107349146006,30.59551223071362,28.9343520161573,30.764183701368434,28.053180111673665,26.125355573599595,26.569893661291605,23.288911749936744,25.249521950899926,21.94829872950711,23.96036666689938,21.77301716634454,26.152924406337892,28.296587312908663,26.707017481996772,26.293820346069207,21.758319988737423,22.15132307546114,23.448856226359855,20.159113126177683,23.807411904967807,22.466136215019393,23.57825072616368,26.442119650348527,23.46925385656139,27.36429895988895,24.577832458365954,28.069692926896277,22.19455777348043,21.65153427302359,18.554862002442558,16.894475126281975,15.114208365975427,17.607737427107924,14.760745131050237,16.0396274428999,20.01400421829469,20.226522004740577,22.772701261638222,25.728350475228332,23.879060339760734,27.013985765273304,27.903109855129834,29.50323091035335,31.99970293277461,35.1972563287532,39.32805440306357,42.43436589880684,42.02295933800219,39.80158389470556,36.26142263952654,35.10831161418314,33.60035054655616,30.6042552596617,25.996727102515113,28.091844449388283,22.31188205092521,25.967547600221348,21.90747273972183,16.364101083635408,19.391853085336997,17.513713186432884,17.009162972591593,14.915604461302854,18.298730692579962,18.279124215088977,22.946088253756056,26.08526772317782,29.413519805494992,32.62835465669793,33.62436818500189,37.582962501367874,34.140337114042275,34.24869652692451,29.593340507230106,28.655853857204555,28.58079224269076,27.93489039954398,24.707518905103857,27.26245308553835,27.25383182570459,28.57873228330389,23.556462228124726,24.943998276865564,23.056856280097648,24.546410084470743,22.85623192458356,22.358914714470973,23.94228551795647,24.686930206225163,22.400061190847925,26.322541442813254,26.498985591465633,28.337311504938196,32.05828939016726,33.52829923624662,30.04304499871461,30.256625678019333,34.723879090201635,33.715530573593696,29.588548811480695,33.824216886856135,38.28346913545714,34.67668860237322,34.950498444370254,38.86924950410732,38.783212824329475,36.070401972034205,38.61527604602563,35.73116746841193,40.962334992415464,35.89515903398526,36.3957712828168,40.49204415280871,42.28465884340663,46.85994581613977,46.04584028156502,46.497070480761224,43.83118200064429,45.11321778764737,42.38123456094472,43.71800054119349,43.05377294351014,37.58894444118351,38.28730759767759,39.332461673561994,35.929058709028965,33.353327729198895,33.9169743442327,33.28187137219205,30.623495420511265,27.419630807996768,29.2005359096062,31.381303920311485,35.14302668060872,37.79295945774933,40.082997135761545,44.57585143734548,42.047192122036854,37.96565929411825,42.39505932959215,44.01405709598181,39.39703143663752,39.26787888566308,43.5895629631809,43.19647025590111,40.18392991534166,44.084506610354715,46.392525368232526,43.660420027447636,43.48399751094124,46.500180875352626,43.690516252130614,44.63023759523595,41.98872022333217,43.68890709754422,43.92553713221112,38.60968648069213,38.890060081787745,40.23007485018297,38.163781333669746,34.19215834971037,37.97280530938559,37.77147141264335,32.85836759469296,31.814837583373997,35.862870745361846,34.88820250301349,31.385306114677444,29.18184558595894,31.090398623443072,29.124377017412513,33.25249989455948,29.742150196608648,30.385349993534515,30.0910537117457,27.42301326659938,25.520943152685618,24.697464357662447,23.238712410279646,26.490422126361583,24.57972306866581,24.85631127574973,23.64451859849796,29.298079848094662,31.376473023820218,35.103076010994,35.1816575428705,31.325157400942484,35.17969199324652,37.58597657367947,32.95820533916909,34.52206736935323,39.13436119692343,39.53194784507647,39.0722297825766,39.76524206902926,42.059042337673866],[34.45324055298239,31.445756165882372,27.448911940977837,24.251716239371163,22.57238154179122,25.998744807635116,24.360760109747122,28.07734182286686,28.370180716996575,26.101560775323446,29.328066421396503,32.416979985312096,27.74316037226609,26.689239610238747,30.433896100655904,30.286281166621862,25.85349131933522,27.81252639938195,26.08126716654984,27.553675328674576,28.76934446828867,30.530469962633397,30.307960777137545,27.432683723469342,25.687568171593206,23.738176103438228,23.227094837848313,22.20281545736179,26.216828546704402,28.89536832193124,33.589585878086034,34.20033608214297,38.594845798702075,39.865147090306834,36.16581670424839,32.41685353649166,31.964355405247026,28.015834525554727,25.371207976070515,28.539117694921693,24.299328646121733,27.37451458813867,30.811338715434076,28.52660662182445,28.67892728824432,26.59876494703003,30.211537504884713,31.06816264149121,27.13347151033789,30.40775189232247,33.41166948844716,34.15842120635823,36.202922862098085,31.85109190701165,37.61271646460694,39.269274947751406,35.29154057456961,36.50218257117577,40.94271026981403,39.15346630808855,36.227015753106905,39.67292955702729,39.702282374505785,39.928588369554554,36.02598343493631,34.065863743781044,32.48148270154387,32.113111091048346,29.94502947285171,31.06562266287916,29.75371120079749,32.71773475878467,34.55139980742884,35.000150607618295,35.58362527930259,40.836901715327045,37.85478966676582,42.01959336147135,39.58355666472177,38.44744042961986,37.49356431202441,34.836944354137145,35.00667085827374,34.29893719437793,30.219249790155672,30.464260950422116,31.577938497938597,35.48928751083473,34.376711104140455,40.01150380996403,38.183380001235115,41.75860123268407,40.18003815871911,39.939758600651,36.16572384131428,38.39761299045756,35.076335923105496,36.85178058346017,35.63438368274514,39.13539888156104,36.442312381211494,36.09588916676352,34.07751140592992,32.64469470203312,31.06438916637206,28.19837917164956,31.39941423845264,29.244695698795447,27.662236634370185,28.895507420854823,26.089476592836935,23.524938854134028,23.591212466042403,19.945023810057886,21.342975626393898,17.847507094780525,19.575178738751838,17.184910741374846,21.55811435492921,23.759015753469374,22.200512341791683,21.97590101956847,17.51517714134868,18.263078087922885,20.05159545291927,17.08153263172212,21.522407871608518,20.176896177419238,21.802623493379574,24.724749504571594,22.716243629863875,26.72530163643944,23.92794207132065,26.75010967063145,20.88053722735768,19.515434706025573,17.227690283761312,14.515176080693927,11.983066730005987,13.981566773397452,10.45467059157124,11.806610303536983,15.63222180884331,15.955218991521095,18.650931593567805,21.651610179979205,19.873009547303507,23.210517008694527,24.49889833593768,26.176167971590477,29.10727398361764,32.140853161181184,36.44885376028945,39.55772735433372,38.751664153814815,36.49888801179591,32.782946335809044,31.945458772397696,30.03776865645112,27.55716775469216,22.827083752599144,24.419273913292646,18.729686579132093,22.525488857980356,18.813545665043492,13.507504630179923,17.33881609219976,16.09689063068475,16.173533873345914,13.390975204513461,16.618945938562266,15.64832008642638,20.169139349828512,23.182381228828575,26.2641320793088,29.57011978982583,30.109497138547827,34.39624252881455,30.985017417074296,31.44600995283846,26.922005141676753,26.210348160444784,26.752672228498234,26.432631775888225,22.973880140993028,24.940992099472112,24.362631957587865,26.17999414339129,21.312800521925485,23.388709392134714,22.13244618125939,23.438607734018785,22.45299143482812,22.07428151410032,23.944502824282072,25.240776699808837,22.651355588116765,26.571267475487026,26.835378269145796,27.95320288220331,32.12129761009353,32.99993959904683,29.38339656445612,30.337882494219087,34.697938154263284,33.20181686086258,29.557829173760364,34.051206698805174,38.02624160137258,34.26242985521017,34.97901298932206,38.88184439042704,38.28670283727249,35.81983198627607,38.825864091082956,36.19850461188675,41.47681762656569,37.13555036179268,37.279654362464605,41.31846276623172,43.42364534928627,48.06369445033068,47.33380054034839,47.392099132418444,44.6656125925355,45.79824687822361,42.69962791216134,44.39416769082339,44.08647261602129,38.35196819556945,38.907577584731726,40.53577155340607,37.26699308343809,34.34103356634625,34.97024897563726,35.0286571303777,32.27314955361411,28.53424072460658,29.962322365955334,31.42878580811945,35.31389620301367,37.801489111496856,39.682788777172156,44.11939166588601,41.14660999400785,37.33933295544508,41.91755867695487,43.07157697179863,38.313988043548584,38.63408276016622,42.784938032061476,42.139221667494645,39.41158235530738,43.62189122641512,45.67910142467141,42.8191611376247,43.14906258325116,46.32804832083179,43.749948250832006,44.70061691519003,41.92785952315515,44.002910566260795,44.43066247394392,38.94133191775787,39.38734963085928,41.16286764316229,39.075632648337745,35.05368310165328,39.272232194511425,39.365422068978475,34.253667080329365,33.2995793113356,37.78042235480235,36.99290879672029,33.35454366447108,30.818437208705646,33.36975471718797,31.170437468258243,34.91474022797542,30.924780536228027,31.115426900402795,30.185839448671505,28.018681076770132,26.29318906470076,26.11358062087859,24.438055230450352,27.29047549152383,24.44431132043854,24.563155806257065,22.547022004142338,28.30821746925055,30.030379696030153,33.857663700939824,33.30304288454006,29.707338572868224,33.910446878915444,35.85214263090025,30.82212429107358,32.79912993498357,37.3305243455102,37.36842968869582,36.602651965257444,37.07846235223116,39.26931353191753],[32.6040482141827,29.444748708873014,25.02735519768837,22.447021091818332,19.847168199555984,23.833261502075334,22.232619017027048,25.727412257457946,26.76886915518932,24.87145899237262,28.297797417367324,30.903992136079623,26.25411210623085,26.00700715918682,29.663674329785106,29.088777462288693,24.89724830453333,27.206614165633695,26.12815861266107,26.950059856588403,28.66197132427865,30.10793463437471,30.44702469831429,27.856710998457682,25.50259036835821,23.765484951264362,22.460745464346473,21.37529030947331,25.042089412148513,27.233835782053653,32.62483409695285,32.45669951911637,36.99585988141444,38.46366262726523,34.52813833782674,31.038173094238932,29.929735313270793,26.328272172809786,23.47594212902026,26.210257576026212,22.73480723153159,26.321231686493007,29.51734744456006,27.369084149202536,28.058504436875808,26.00749860249257,29.601598891589013,29.982454961739993,25.703166246503677,28.73086537622806,31.568570951941958,31.885742047812432,34.051765895529776,29.69918758292426,35.363755281386105,37.44102888502417,33.82850278443947,34.89600207517672,39.374147682178254,37.96764308680675,35.33993075347672,38.955112902063135,38.87490330982859,39.70959911143753,35.69345211333994,33.37150009177235,32.47959153250156,31.795809945444766,30.275464268157634,31.195100999389155,30.365472012908043,33.68317923062871,34.960134755533154,35.44536774364792,35.35824725957993,40.54638984579722,37.143385926809636,41.04602512614043,38.298232088623394,36.97211074658403,35.47609674027413,32.50990967672688,32.2934770643293,31.27049244734509,27.350843217758634,27.986284312069717,29.73385028759116,33.43495333537526,33.03680954939996,38.60205421199747,37.234923551071724,41.147950868208554,39.511679029457554,38.98157362686315,35.18574712216851,37.66598653157111,34.343366080987,35.4074399342788,33.90190163587524,36.949138438136586,34.155872324253366,33.18741356000402,31.21460696366694,29.264527896837603,27.232168517974415,24.310752582687535,27.212635522316276,24.83129495566651,23.412603713507874,24.917446009123637,22.463391723132936,20.113117111460337,20.908388928360324,17.499753198171206,19.858406034698945,16.77402954634127,18.947229973392577,17.716857093543226,22.17878482766639,23.704285012110947,22.503753187973114,21.868050231688002,17.59811240247495,17.558553649372048,18.685890569496415,14.702499460766825,18.59948340956801,16.652969990818935,17.79306320311626,20.438484620467708,18.17970156754266,22.096639429863234,19.271341810151174,22.261576410029882,16.357543340862666,15.400430231325482,12.971468089722658,10.690887487045632,9.051902255701677,11.529787426555217,9.878049667133672,11.920850355431831,15.406221986878915,14.910852848478727,17.402305125294106,19.956046085425676,18.036184964037904,21.050197465352483,21.786926015853897,23.728496645181373,26.157181284968722,29.655921513750574,33.582402498449895,37.085893644867674,36.5045214868871,33.98164711483578,30.430277202371528,29.067365328990174,27.516827060912423,24.331097519195424,19.63301649478697,21.913287889607307,16.18102895455218,19.96993049464568,16.34932873551833,10.81090041291032,14.12281284314434,13.393044017865913,12.525720363918786,9.473288946302716,12.56856573307692,12.007210874004787,16.811492305737204,19.787106817931093,23.087857139053337,26.23962322257298,27.333350950170423,31.213932355888737,27.861953090699345,27.941631020413737,23.441291809373276,22.321809642942867,22.595507425278765,22.303301018372448,18.93879981540173,21.609275097073077,21.693818903006516,23.53046433320389,19.095854502752633,20.368422291563427,18.882339593908707,19.650932850586358,18.32689163816719,17.620946902421963,19.355427455572883,20.64574645501862,18.0223294853662,21.964455590934335,22.451225542487183,23.60402507461728,27.839640679195053,28.838209075529132,25.38929503764776,26.449084946859283,30.781847291350292,29.571434194510346,26.275035083463642,30.595661778101924,34.50680871321707,31.240140739772016,32.07456680470117,35.878065971833415,35.478722850630916,33.40809947046104,36.32588372690817,33.606454391277616,38.626096327711444,34.32364039089476,34.0829757047853,38.02905957100192,39.86937312999081,44.60869865738205,43.61701782484384,43.42098754845874,40.53851784579917,41.49028087872267,38.291215398698,39.91675209562218,39.77803685046668,34.065788378415185,34.425896937098386,36.144807237201825,33.035920738091185,29.96618302788872,30.487728904669243,30.860138510244134,28.210605588182727,24.118482343325663,25.666488951833106,26.85358991278074,30.742081088175446,33.373262290398124,35.1986396186016,39.710853150701844,36.786358731665324,32.9986838024972,37.71971981743731,38.94885108272518,34.301434569540326,34.70958591752176,38.98623434303791,38.53249732230977,35.903668376409364,39.9788426342277,42.20478624681275,39.65836609464516,39.87549983144847,42.8898890202212,40.226572551454765,40.89352120468401,37.938175917947554,39.89766702580305,40.611413972400996,35.212862851759475,35.33189829741501,37.286187285920036,35.41206467104861,31.176027523976536,35.305430948288105,35.77424356070128,30.758843414922413,29.45663544076181,34.07275505705757,33.680018588861465,30.144804408200066,27.860048076531296,30.728150804587685,28.931488741764024,32.47378695341305,28.62910575003083,28.316956780900885,27.650796467783564,25.95059234350906,23.80754150344376,23.581167214357965,21.39223666155004,23.777339410556575,20.92379830594945,20.511823464898832,18.848520767318337,24.98155578223027,26.440966006804132,30.26397482998062,30.019519469949746,26.60651362314962,30.904560361342085,32.982618783496406,28.176405264792994,30.556439924247524,34.91176623237961,34.92100250491626,34.292302330770404,34.90741037519885,37.09088360747052],[35.89427463953014,32.702537720199174,28.22359872446309,26.229175135007207,23.569309232983038,28.116668193075288,26.81097502700677,30.283766501651197,31.593641550322488,29.81438402458007,33.251616833681155,35.7574027974079,31.051720372530795,30.94884966022769,34.4703145814214,33.75304704850398,29.51236672822576,31.543950378386658,30.092532505145765,30.62995477340906,31.968448720096248,32.898530647653,33.06874163251206,30.18261124831814,28.13052479232207,27.015543309365604,25.977075614111833,25.475131774652244,29.2407624817676,31.545242566186168,37.0500658102441,36.81985036384117,41.36637399178907,42.6104990046641,38.55538396777323,35.00965365942836,33.8225495105788,29.85742985386653,26.725973900903885,28.559328708433483,25.200887720364584,29.13667804550494,31.902938173656022,29.25645175879939,29.570065152648482,26.999163995174097,30.307330538290596,31.197963820842155,26.72975372028201,29.12655780415206,32.518372468662015,32.877213385492084,35.43580320721631,31.53051289146241,37.45165324656084,39.16322959111041,35.71116307572567,37.40266618935435,41.647878818721765,39.79666550036431,37.71550211624569,41.70579916602451,42.03183799733035,42.700110726823894,38.452541351529064,36.496982404893515,35.98261392690254,35.70134448839066,34.33609963582649,35.60615133400211,34.73130017569427,37.988665892759236,39.27519703658114,39.397620878909706,39.457521642685656,44.364961480311536,40.73957230543295,44.69379960869893,41.7340924687163,40.01629683279638,38.60034261129938,35.255334900002275,35.41551687249907,33.84978576015904,29.869229311123462,31.155476891857056,32.92806765137495,36.915429869422375,36.63585315638112,42.396214484834445,41.24442868420611,45.21616172418693,43.815157343837335,43.43067108077619,39.7900020618658,42.39422839371988,39.17968989497262,40.065241120902314,38.58360749543692,41.51066655414247,38.50408790941595,37.29695328558071,35.12210891795757,32.96789162409092,30.232122000110024,27.549106443577426,29.943948158601934,27.112130424736144,26.053174261081857,28.099066626527794,26.085625401205704,24.078299868045733,25.390847573904455,22.124885804520435,24.69672192887324,21.628826345925944,23.56562001660075,21.95484268157872,26.240541144564016,28.156226150728052,27.135380351203217,26.722760205888257,22.48081909337748,22.55186908128601,23.613039830486166,19.412860940000414,22.81886070148319,20.575617858096738,21.070618088475015,23.112875369173917,20.10704223010462,23.545487324283528,20.304947246713223,23.918860014222926,18.24411098881942,18.433685040871374,15.923331523634255,14.510058298060741,13.564479745978748,15.830300682711616,14.24802843636923,15.15852947221342,19.082783439069466,19.052721148395047,21.00461151768103,23.975501120557535,22.373082556903604,25.490127363797345,26.096181994485548,28.285898543917483,30.411514977380566,34.16076109915395,37.827908102331804,41.52370528579135,41.089212736280345,38.421552696077896,34.9486089905405,33.29303005714153,31.82938934417817,28.235163079036756,23.384971953866668,25.68842298578788,19.802084529071646,22.963653116110688,18.548502777057333,13.023317932758802,15.125126299844105,13.056016243165155,12.084902516436285,10.546533062581217,13.943374536151603,14.878389773601297,19.318867189337166,22.650412403010566,26.22806753779764,29.501204899213974,31.07483784478519,34.472000972089624,30.793667783807273,30.607954193328357,25.735083344686906,25.087239002472128,24.276198907946338,23.284987929594575,20.226471706913262,23.010498544502624,23.52483409206747,24.456230095830545,19.59252903646645,20.310698535505,18.140334582511585,19.61676711337211,17.75935377935741,17.45139244366695,19.205921650698834,20.23371560324236,18.542795815002275,22.61816414643064,23.519215153681753,25.484787202154592,29.33853573107923,31.02177077827252,27.87695030942464,28.33163442895609,32.724807189715584,32.168342953064126,28.640417725915636,32.599667463499536,36.918512597446004,34.041297844094956,34.5174238721936,38.28592587993216,38.410441938721476,36.24949748802927,38.714722169838346,35.72395821299231,40.59685343097245,35.52965812004946,35.51712267409569,39.47218823478766,40.78488403030945,45.50257493972412,44.21154091647027,44.271375587385364,41.30059037713189,42.19567008116181,39.279310087719786,40.31572915199357,40.013381629296894,34.71466398511957,34.902877127143476,35.903261366194485,32.91120441792011,30.122017782559393,30.183235884906544,30.019848346425437,27.80195932262404,23.865346829910596,26.303161494796107,27.84604952407692,31.583248442149678,34.680810278095905,36.76170985469321,41.422972925105654,38.895330357559715,34.99540303134462,39.7574494100091,41.39955972267747,36.99288829397386,37.15874879902909,41.64119543739538,41.50737898841143,38.74495097376668,42.468995984208945,44.992023971124475,42.714197362264706,42.46445041958925,45.2399441760483,42.32282536040143,42.78669640819458,39.81714573508164,41.28452433583114,42.052743041880404,36.92099568213104,36.5829646040736,38.19380207173538,36.5229517363623,32.176784489042205,35.63799144717985,36.06454632398682,31.39087539314052,29.6435430191407,33.749942272716225,33.44298127025743,30.180651165315822,28.505637126775667,30.6649341303254,29.357980077681198,33.318468443517496,30.08221449127224,30.10351993897346,30.161335252489316,28.08260109587549,25.657967740748322,24.6857991621155,22.535211615024277,25.140987010963066,23.306667303832842,22.679629206005313,21.98687457634768,28.159226964473692,29.718850273868153,33.43810153207899,33.74717522997552,30.309243691989032,34.38877657793455,36.806571678302596,32.32955106828671,34.56326995029212,38.90899220492635,39.10841154179067,38.664148888068674,39.41068429909408,41.602881274869965],[33.493205373336664,30.298900485557915,25.873766298322927,24.29830844583007,21.812215263640017,26.804155447916028,26.032914865752556,29.714064443837838,31.236527153850673,29.977227324326936,33.573558712433424,35.99311727999253,31.678970190486137,31.62848391138638,35.46502167569367,34.8330811539127,30.822992567700926,33.290325117946246,32.299169021419644,32.9203799455201,34.582330018679336,35.69658942709128,36.037225643195,33.28924807673664,31.045852656278257,29.681295779913526,28.34481930340126,27.42020042603767,30.955529891687203,32.88458061051705,38.55196617199735,37.98438774248052,42.577436570780826,44.18321191097898,40.13975606124804,36.798349356938466,35.324472686964,31.859532604865283,28.817728246296443,30.79276060292226,27.79461571055967,31.759022186638973,34.595120963592144,32.157252126318376,32.7188613665415,30.243761603525382,33.58107572052986,34.26129690695174,29.697152777318976,32.04792184269352,35.30200653743746,35.42322221326222,37.9838604578305,33.99270185953497,39.75629620366571,41.78881525161718,38.47489747680893,39.901859000325324,44.23211024987431,42.67599272606152,40.53811154743979,44.43090084395397,44.53379485298347,45.44565004988416,41.27988379335377,39.06640776790037,38.49686015701495,37.88515437560868,36.48313147586326,37.38449257732787,36.569316395346995,39.86272139094163,41.17416896617193,41.64344447058716,41.49421591346411,46.60054193570473,43.02838446865299,46.851664094085436,43.91229304420954,42.33158884405293,40.60345310856332,37.27937271331186,36.962996945952845,35.434066562160815,31.657115739674147,32.89853698822637,35.024748077233966,38.69361677707044,38.7086544945602,44.27303764519071,43.148545564281605,47.17081960904394,45.5298053443896,44.870937567972014,41.02673067048952,43.51143443061791,40.08616798304769,40.93721109798321,39.15706860573804,41.731209020757305,39.18220928430336,37.52193998591553,35.83544775931675,33.173432560517554,30.572728875091112,27.47641938176007,29.542669181887838,26.43345769573756,24.956460129359574,27.359527972256412,25.14966229037442,23.818486997073972,25.14938140261511,22.357494261641616,25.363468941884495,22.57196304263439,25.022674110371916,23.924874573245813,28.388056036160435,29.887870508299677,28.63160214112988,27.794945748027985,23.448557279543802,23.040066283785105,23.54650693853966,19.312038624203577,21.928678586236956,20.043704933709357,20.324500966721516,22.744378127463126,19.00372945953918,22.607610085374528,19.858587711175595,23.86125028241003,18.16400052961846,18.59509440861786,15.044175868734905,14.626103557239302,14.1754267910492,17.068708748957036,16.06795462653142,17.80235450147192,21.46880573704561,20.961049724348534,23.21441824060089,25.683226614201665,23.73278150611505,26.411192040695394,26.589277639948772,28.380614368991125,30.134810248921795,33.824354145634345,37.42068948473291,40.91384021052109,40.89440896500621,38.42289971638784,35.1682943748954,33.367381462743786,32.408570253873535,28.55169638434751,24.170213515719738,27.07203779844032,21.4098273602055,24.85976434994116,20.87773982155033,15.337842975842403,17.266811691091977,15.644778411554242,13.836031408561023,12.156903506879939,15.215757084377305,16.172992054085924,20.888432539382393,23.924882430272834,27.477273227899154,30.416826075016143,32.14966512575367,35.48041461225088,32.14520859114798,31.70158793025427,27.118245911601914,25.687980793293775,25.000523745910762,24.217953159524022,21.32784257512407,24.833589998586515,25.756400892431962,26.85105617956345,22.33109255763929,22.524697596583117,20.10591542352879,21.073746154319466,18.615580840490026,17.67580568460822,18.862149419392555,19.20096430266835,17.130925011738576,21.031244051520797,21.43404927146887,23.741827717103565,27.233709787182793,29.160933386550813,25.996046315768485,25.920722740318855,30.370683163134355,29.96547424054914,26.05389194259605,29.90675981628124,34.493890653748906,31.582842253832617,31.78756695580595,35.56613692974445,35.94136908740901,33.61025783375982,35.83060190784817,32.73752554149302,37.6052062781308,32.26575570924171,32.45504000600511,36.450463529896616,37.75644356978274,42.4238295858867,41.23533717017159,41.55724669010412,38.73235411812228,39.860865298956696,37.19979191156567,38.258108885706754,37.62262488105242,32.33723362219999,32.8640945227596,33.697398906136726,30.423829771896244,27.86248985180085,28.243490084985307,27.601805111842324,25.1313156076878,21.78391291827148,23.95679291099,26.2073301309306,29.872270620929424,32.77400731787034,35.19515416015792,39.7748591026271,37.54258650625681,33.38633206224908,37.87255600606263,39.79103502851958,35.41591602562584,35.172169037655785,39.68569317284314,39.635527707814596,36.634303907375454,40.20305194507033,42.80910318690669,40.51884448147536,39.98631416215135,42.71670229796373,39.71294390695222,40.299653131626165,37.513749821848734,38.879386065812604,39.37333613736708,34.27600524867353,34.06629150440966,35.400960857948924,33.61763461130608,29.41185418893853,32.83582771141231,32.96296627750137,28.277861777435387,26.72471740800963,30.718200849323303,30.163561263728976,26.859782549095794,25.1700362731306,27.160316330148557,25.851303041075774,29.899817740729553,26.81795869077992,27.04772908142935,27.385902846439095,25.07847542470774,22.592511220357235,21.376022636388623,19.374190405806253,22.24065051673272,20.8955532508056,20.629106552292654,20.33585914878106,26.20484957754992,28.129019094151428,31.74032791744056,32.458191899907966,28.75096889934223,32.49260388613039,35.22288378464972,31.075858564290723,32.880065763571,37.278494565550766,37.78839960138941,37.60467068750307,38.52004052812451,40.81230008137434],[38.245445274494415,35.136721773797056,30.939726230635834,29.09444420359646,27.05196680957772,31.807764643854878,30.90364280763051,34.65386097290058,35.79035739909051,34.134001345297484,37.58803496841383,40.29476853875768,35.72259028182522,35.266985324680064,38.97730533938518,38.47414824719268,34.16275996053902,36.11981176692179,34.35988081540682,35.160909319860586,36.19323884127456,37.120180628448885,36.95447085771577,33.816183560885904,32.19442330226412,31.16420677014658,30.538049936653614,30.11891910294495,34.03059989913351,36.47948536997468,41.77382770364755,41.77752345078956,46.29854960979603,47.51422851150778,43.520591308244676,39.883905183673114,38.87423952763285,34.76830783358569,31.643971547858136,33.3672456612181,29.803322523257382,33.6459896853477,36.3579464861043,33.470091372562905,33.37087777162445,30.543125701455374,33.672936311568726,35.05821423030805,30.677444020067743,32.812374664489326,36.539648944493045,37.06913532799386,39.76095675397512,36.08103689177877,42.11863873930378,43.5282676043642,40.022133696203035,42.01597860426221,46.15071106941882,43.95441576737168,41.987998408839914,46.04100342633308,46.54844684741856,46.87757729931237,42.61266802290213,40.94601263764674,40.20216271441531,40.144852658481305,38.46780013403809,39.8379227990068,38.69489243536045,41.730324550507845,43.36477896770712,43.45677491557018,43.88104154990372,48.79147033678702,45.31604862920379,49.39407798809716,46.508291872068355,44.75825325810999,43.54070552055788,40.17730577528098,40.513462037684,38.86912392749122,34.85327855229351,36.216865605634304,37.82830915599253,41.9385570483816,41.45628232309646,47.280411785398975,45.98030016235211,49.82245379769977,48.44944228663396,48.163487182879294,44.4842421450051,46.953058768234364,43.65809904803554,44.85686667434491,43.37809116711605,46.3351889075656,43.515779479984715,42.29805688002133,40.24795277291763,38.00580073505337,35.25912170760816,32.47393668259967,34.66142850645495,31.601399219425385,30.375362173966824,32.70152459778084,30.54428088874486,28.88880546787645,30.03145267052783,26.88056787906687,29.315731406814756,26.137615961950797,28.05805136195785,25.961591708680302,30.208745877689054,32.45725936954326,31.199912386168585,30.872448815718805,26.453907449861216,26.70034248734736,27.78571715131894,23.91749335847282,27.0940090300066,25.223467156588438,25.659425311672777,27.846335206290153,24.304333949331554,27.658924523016605,24.5366255889425,28.49865623417479,22.936973509477912,23.414312853610337,20.402863356791617,19.4354626956221,18.4137707104302,20.807181331370668,18.63056016929984,19.256846312128047,23.415032468843492,23.724654098513373,25.740017787446988,28.90257699279238,27.297896553909887,30.452561153205384,31.089121630805685,33.05649894058879,35.158591046771036,38.75786357805971,42.51905625383655,45.97942568275658,45.720811632314145,43.23557208364739,39.79534355587099,38.21072268533692,36.84225091210862,33.28301702761454,28.524731774707394,30.8044387720282,24.897231968265615,28.000101948315617,23.379537122604262,17.937265805603943,19.80020998272337,17.10663393693652,16.331113908679097,15.456731048647871,18.837918619020833,20.037025312596423,24.397612721064203,27.781714798535784,31.37893460937309,34.653259150238725,36.2280750945386,39.6230861165802,35.90831197409881,35.68275921414115,30.744789693907986,30.139889978388258,29.064801474748272,27.83695770948569,24.964201137599225,27.729470095652218,28.264866910125008,28.802794784670464,23.66673718972741,24.315726306871788,21.858027765978203,23.759543780498877,21.60309127349972,21.40025185819959,22.91468035326331,23.42111079116982,22.06360830092752,26.002330755389792,26.666042543504783,29.169937169114384,32.555964649315676,34.642237767756924,31.534369742775844,31.31373593205357,35.76244819934522,35.45104775499635,31.358287492874986,35.15507955358598,39.88567038201523,36.873813984742625,36.90683616645118,40.71500781958913,41.157633854304855,38.57786421088982,40.68022442671398,37.544356511860066,42.48170097492912,36.78209809778855,37.31441062529566,41.33664856618719,42.4993084945849,47.06176154760469,45.84613379980455,46.41915309459085,43.614013682968995,44.73925837366095,42.237257066628665,42.972467749251386,42.24939717065905,37.247855698205186,37.6715187033947,38.05819248482073,34.891332387551614,32.555695269066,32.608075448949776,31.597105252773375,29.46961760499446,26.329818199543258,28.970521456348372,31.275011820013923,34.8478285175737,37.96803949745823,40.414570892083944,45.0450871235674,42.88346584793605,38.76958817587747,43.28689041547526,45.26882390476093,40.936501263675524,40.6770355935268,45.20444277987149,45.169753173157446,42.12619322001981,45.64784421476853,48.27422845479906,45.93214174432913,45.32101624634971,48.03678326412668,44.982774676233554,45.59749884767342,42.867822837810174,44.060531496371425,44.4890334338871,39.50115440302073,39.20738494681905,40.305133160217615,38.549831979609536,34.421367898381554,37.48131072497533,37.41246973602392,32.93642048454838,31.324494576000497,34.866719162309536,34.1632320454543,31.029637525639956,29.56856468175299,30.878582777654973,29.60534588843361,33.992645557036006,31.168214926538788,31.87781897141743,32.329449930199964,29.593109905853634,27.293333799801804,25.7946426624343,24.18004779469568,27.344050951547327,26.323102569998635,26.149458217156326,25.865596053971387,31.677762312277302,33.65910480129402,37.280818832020465,37.90337735472348,34.167380304698675,37.90143451316998,40.59929729435479,36.31640990302637,37.99632914356832,42.49684508748644,42.99759734711837,42.71634624210375,43.54645187795915,45.826661894782504],[34.352955918318884,31.285447190825355,27.18465955668214,26.60202646918218,24.6071713279038,30.194275213318264,30.28009157268604,34.12587409033488,35.92563838442552,35.301783707629305,39.011111540438996,41.31281716165275,37.44368102922244,37.428554394361726,41.51393723997941,40.9514383816805,37.146683564501025,39.856490456969055,39.04305876055475,39.669806012238794,41.38000818674899,42.416661541838295,42.75898137001416,39.94663027778783,37.76793870698939,36.48576320328406,35.10559836048689,34.09301178516199,37.48902631287866,39.14620882767058,44.942530306846805,44.07106757679008,48.679607130077784,50.52375285431925,46.462396006265195,43.28573155416334,41.547351803066626,38.3681522110359,35.29820815557805,36.933864946521304,34.29585986352115,38.40309479916466,41.0692010904229,38.54136718420157,39.05109221085465,36.37509616746607,39.5290582946491,40.371207410101746,35.698310003378104,37.59330629384814,41.02567605853071,40.98386473320044,43.74048534711807,40.005506900526214,45.72023882811786,47.79716242329818,44.71514613766686,46.26787256746427,50.512955101362316,48.93878610523638,47.0723027416817,51.07189147111816,51.205038892763255,52.19353032215324,47.988393703153875,45.78063406168811,45.29097092118084,44.61404671909167,43.18083662593452,43.92278914635514,43.08072337461245,46.31978346858542,47.74095302497925,48.360458577257745,48.16770878302358,53.327161834437106,49.72976909460572,53.470693593881585,50.465241481379955,48.815854931439986,46.87154080849361,43.38804409854837,42.83882624591064,41.0595690490416,37.49167764841354,39.019915181703,41.44065999291269,44.952005309909296,45.266304041616976,50.734049610113196,49.71551798189325,53.7819280899817,52.028876634468105,51.191551988803994,47.22543895336187,49.60908978850371,46.02178142042662,46.81886224299656,44.7604198190256,46.88307806837773,44.7733894108356,42.533258568710544,41.29968598041724,38.03200022551377,35.25097455665707,31.91706603734872,33.240117129419374,29.63225687944829,27.92327231970163,30.991419416949142,28.868080115894564,28.546850411916676,30.054377071944327,27.880462683371633,31.260798746735613,28.73157280645957,31.481380292225094,30.549340477299875,35.05756418764581,36.43741124771408,35.00626578690283,33.91718600829914,29.501037707582835,28.777072633365968,28.754223639259873,24.62548545328704,26.109064228543513,24.624677773633817,24.351114749210232,26.73945562845806,21.926181665791084,25.129244726777056,22.920334559137192,27.525207620586507,22.321062003400588,23.56767491693487,19.199305723529125,20.13120414217211,20.28254889355158,23.456107006460304,22.72678111936256,24.586024256539623,28.277186520865733,27.663480083418,29.938149710967455,32.19693118320753,30.109079436894717,32.424479485380836,32.158489422425916,33.59500236899192,34.77791723869235,38.41516333348904,41.751502841388344,45.00657650395488,45.57202604302675,43.314650573128375,40.38526737839158,38.33065902606917,37.96433153675271,33.72642289649094,29.840488453539223,33.22714220794434,27.768632672222893,31.124332912078927,27.177160595970744,21.78405075723765,22.99419271716703,21.090288782254653,18.765106058695654,17.915516040263714,20.595452620736367,22.175866531458958,26.758998311285293,29.628690914033992,33.214965494345556,35.84078843903566,37.94167257896368,40.91565273723467,37.790420418365436,36.95344795750068,32.5419845816061,30.64945219859644,29.480800783925922,28.505935473366772,26.117097314054735,30.213044907950415,31.700435745377487,32.384530662738946,28.00628791621713,27.437025741353725,24.48619439755948,25.374361156137113,22.131674001956362,20.87558160242234,21.270134331671365,20.42369668708338,18.83501212213639,22.16723983681346,22.098553798518257,25.376928543288198,27.806642179728136,30.531356258451698,27.70456888463432,26.35422921856406,30.717510096061357,31.040121840605718,26.497673507326766,29.71364157470827,34.893409549454375,32.2657211693221,31.7263158618327,35.37583416687166,36.52344642112445,33.86040946121096,35.25759771306254,31.885613360732464,36.507289640460996,30.162487473299198,30.988778837149507,34.946004058277644,35.76322744964516,40.18457059944735,38.97001874441716,40.01282058423602,37.44089375892454,38.89730868909001,36.98323169045001,37.529087364673664,36.194781478881296,31.49321284819848,32.41886961666851,32.26581171293693,28.72932664237008,26.97529531040832,27.444043034179355,25.42593597166467,23.07508731242323,21.23511823431895,23.60925186323613,27.16115747088047,30.394737153549737,33.25201743372892,36.310487899621705,40.748585299177655,39.31163825347071,34.82835587998936,38.78477970802115,41.373317354198335,37.327711918738736,36.303018362683744,40.87920746212196,41.17171179320104,37.781640501814124,40.76445497347617,43.646777306315464,41.55117227346236,40.24850427555788,42.67467140867434,39.406781233036234,40.04698281255308,37.64037251652741,38.40498436478935,38.44660002967031,33.7788306135118,33.436763507177126,33.92807478867077,32.166047656364746,28.306986889012823,30.903719256796695,30.383922844953798,26.192565801646484,24.69447294118588,27.740080373775957,26.74658509383711,23.77536560392929,22.7368333153316,23.455776723003634,22.642515897726874,27.162771037966333,25.07809763539042,26.079546369731343,27.43741640699409,24.46772629037645,21.8895831694676,19.633086366116125,18.252565004100937,21.621597222553127,22.03302906053964,22.240214676096276,23.14184405555173,28.199142348817546,30.645475494415347,33.89791362165782,35.49695548261939,31.506447520725565,34.48601995084656,37.794884613328634,34.39793934428738,35.432195269849764,39.808453039254104,40.855181614496914,41.12833291758589,42.319748494743656,44.73323629541334],[33.799331829874106,30.822762965879253,27.036793114138987,25.724266963910157,24.46715917806457,29.61012702605776,29.643981399995575,33.769722465558715,35.001098583135494,34.171910032899156,37.8112577504336,40.48619472198992,36.641583364359626,36.059420936750136,40.33336893577081,40.10843194929922,36.16594065664387,38.829711003678945,37.788824513195934,38.909627182431855,40.47318003667037,41.88452366527582,41.942547461304265,39.03383848913343,37.10566835060941,35.490319404441756,34.45261029385956,33.246562110688664,36.83171462971953,38.73517698310451,44.116931932855984,43.734186938512245,48.28943890326639,50.1329617197336,46.24035996650659,42.901652902447765,41.569533087675026,38.282163876165626,35.38177095754975,37.63527391324874,34.43233152152772,38.196553091659716,41.192001573968945,38.706998758747844,39.01160263292555,36.431338938372825,39.7383433659555,40.73943899782214,36.253790855326734,38.564062284428026,41.98927061429297,42.2197820643687,44.807033884269714,40.843692784615435,46.626004386261855,48.58579002581524,45.16709915618927,46.6117728325592,50.963944628370086,49.278399185120556,47.01143627977358,50.80231725446973,50.85864014795243,51.520981943939056,47.45043301277044,45.32507276575104,44.266095289647836,43.62375516715681,41.72100737433665,42.42632718020903,41.297030300647386,44.32169536675779,46.113945402304594,46.87695401453404,47.050160633530666,52.38563520373661,49.13329156737569,53.04141638375796,50.29978133097707,48.90670497826602,47.256291794918724,44.06682649039051,43.61279005378468,42.220066528290545,38.49156859992774,39.55842548666934,41.61946934333271,45.197727163396316,45.02755204477368,50.503922303983906,49.09809967538193,52.94240355412317,51.110973747122834,50.38048563371993,46.326009366795084,48.490550440250004,44.81534236911883,46.16164751895772,44.23399499107991,46.693971705938154,44.7661959267753,42.981054535305795,41.8106581008673,38.89556378661471,36.66347882133947,33.17675179328056,34.9886763681655,31.672789491547682,29.62932320224597,32.319211256991714,29.663543584408345,29.0485758366386,29.90419936741516,27.506315977998966,30.35941640824587,27.585208658844746,30.272973374015343,28.888702762223634,33.42264126075988,35.020370418883,33.27603069352676,32.27729307645073,27.70139248567436,27.286174798932816,27.5733753545876,24.031442995442042,26.04105908561498,25.05369424907397,25.400985124072125,28.360446612464003,23.963316670065495,27.63276980911026,25.477794383866193,29.791463965466125,24.22040888206609,24.693473585210732,20.254308078336244,20.48857440876608,19.87973845048093,23.094295434936623,21.48194239721644,23.42936730874011,27.20211709424846,26.81846677790681,29.43000787831546,31.822927752739403,29.6387705415332,32.125801268887116,32.212269127189515,33.37981444269448,35.015348167674844,38.28282544755257,42.042776924196886,44.94261256360291,45.34765345319294,43.34171665377469,40.25196166132067,38.62942320984516,38.022213287146705,34.30715718802129,30.3546098735872,33.42397745050334,27.88037607857757,31.577945086968704,27.694761086002718,22.107348740772803,24.159488361803877,22.269423891802102,20.517431398328394,19.053411446808877,22.044047593975407,22.880794176298668,27.704215839911633,30.601469799200594,34.065144829848165,36.81604163710135,38.41597318623185,41.90351200821329,38.80665185566067,38.31229296989359,33.89891438464045,32.0509275773814,31.492132023050267,30.754316475811013,28.020437748898047,31.720754204442667,32.65367606997227,33.68009920275199,28.998144725728256,29.17796221169936,26.549398553525588,27.625777784189808,24.81073572256753,23.65754301113484,24.332660013342817,23.812602410952962,21.67353991380315,25.113132599239123,24.68642235975118,27.52548224822096,30.207250335779424,32.50532342099596,29.30777336244961,28.171322654572908,32.614659607604644,32.35334006560144,27.50174899116397,31.133308373948434,36.25682040030031,32.94634410290487,32.437576453112584,36.25248974280348,37.0176539859515,33.971551440094146,35.64890306591691,32.43409664965609,37.43732891656343,31.351354058398353,32.465173585833604,36.55152334547251,37.91221288781032,42.26465581360004,41.46599866602634,42.62952240892774,40.23781818116644,41.898262143135376,39.90450748863082,40.83105871918681,39.43775828331845,34.45148432819254,35.63752045519712,35.823801823692236,32.07586576019608,30.247046422681372,31.052150682277762,29.134475410458933,26.42895318262628,24.6801212589011,26.46898448755821,30.043110983369466,33.433600076346345,35.97029255959615,38.97195446087947,43.32766816999089,41.63533510448696,37.1264400196228,40.99893556586923,43.36007269750982,39.05173049347462,38.0437065589193,42.47488842080817,42.46291094782637,38.98900291398199,42.282333598810254,44.91288980890867,42.39694566009263,41.36716989510494,44.07480483152123,40.970488649531774,41.98360784852575,39.731928606813675,40.85881813577984,40.602578450129215,35.66834658229629,35.871694185804124,36.38763847015236,34.29356627793433,30.662710683514355,33.757767353490934,32.89219496476598,28.373397801289872,27.4808878251134,30.727723340194874,29.275008961170567,26.012592034391865,24.30566829833742,25.118150402524464,23.53101963521253,28.11075672255651,25.512982658991763,26.891512184066404,27.674333374215827,24.327974229051115,22.23725069983712,20.379337183502432,19.486404290816942,23.28586673949932,23.10132795560851,23.884023394203567,23.99401359626855,28.91040505866825,31.606207861176014,34.979342200122815,36.137202565435786,31.904398155881456,34.93180221723756,38.071561795502795,34.336504849562736,35.06004495260568,39.65516164450122,40.706462430264374,40.83886491837389,41.92182850808566,44.380753932237894],[37.655404112893216,34.733300776695266,31.050580215984375,29.440018636472686,28.325210410014297,33.23469582757341,33.02263567437887,37.15127397803098,38.11279035477346,36.91329818539755,40.444748845844764,43.32216851582482,39.218758906291285,38.38164553308515,42.527812788471614,42.3645355709695,38.1842454224777,40.47045678906183,38.88810411091784,40.113914492268655,41.24818287405642,42.52880470013322,42.24659401317899,39.08919626493849,37.57781560512804,36.18848647564204,35.619017447437066,34.76918214913898,38.62339406420707,40.910467745412895,46.050438249035196,46.080014052030364,50.596635464950666,52.13860400750356,48.267778980279374,44.705374489794686,43.701964232862665,39.938351521026185,36.97041624652322,39.072194997990636,35.47638701082732,39.15663254308041,42.07709046972065,39.30100561203675,39.174693000335395,36.3885164126427,39.55571048903595,41.0055234339762,36.65508358183488,38.85041217802378,42.570990330450755,43.08040109969352,45.748630831408455,41.96822694537443,47.944098618877305,49.4786516798758,45.916295223851556,47.73684639286353,51.96151607457208,49.84317793824968,47.67581572139484,51.566944032936455,51.90393134687126,52.160173780172904,48.02595318900747,46.2764295846699,45.10441969928671,44.85213801387255,42.77594980790724,43.82945760501436,42.481841353396064,45.333404143129215,47.33139679523259,47.806915485774915,48.37811510961889,53.56482912456574,50.37278483715119,54.4649165088052,51.75673430288332,50.24289146220891,48.956073839188186,45.73975998247502,45.75351160382324,44.28756620614438,40.36714401915712,41.50940551460382,43.20967175843391,47.11311347717651,46.58615285841908,52.261308078306335,50.73388912569046,54.456930116502704,52.8296516911134,52.37973543749314,48.45666161163155,50.63529369315148,47.07442438012478,48.648614777374,46.961335097180374,49.743160679903305,47.542879901268236,46.11473033892525,44.61361008323866,42.04013547605107,39.67498303756885,36.43252686400112,38.41525200656341,35.16375444750638,33.36246763382595,35.94015947038571,33.35037731074957,32.3531750827139,33.1236451042273,30.377050638067587,32.839485878305226,29.768821471429465,32.06519202793034,30.006288663250274,34.38497222463825,36.49931156243331,34.789262276515,34.17273618156806,29.564197476926175,29.62877257317723,30.38243550943747,26.99769695782122,29.56411273200733,28.43683468363257,28.921482714893482,31.684429604447956,27.52956654619185,31.07890002362874,28.54422071186614,32.800589544738706,27.212387068571545,27.66559638190453,23.69762232843937,23.38667835485305,22.380403491939184,25.258781574032593,22.92812630385831,24.153798125411885,28.21919988898601,28.364911205235224,30.808368557767732,33.68318227658728,31.744890734597515,34.60817230625629,35.047874647568456,36.42588235165128,38.36649860149461,41.62460841952195,45.51934524567834,48.46907748969169,48.62575984206874,46.55352189892964,43.284701537951655,41.8127056293116,40.84434173862491,37.33086975703983,33.019981354087506,35.64551367155402,29.882830737093656,33.3658453490158,29.05086851870436,23.491547692906053,25.558758896214652,23.06832832795511,21.944533081514866,20.857852027195264,24.112258756649833,25.076968116117243,29.7270460718059,32.894025214806334,36.41529386177919,39.444209322280784,40.92849331099975,44.4897026130865,41.089064772786976,40.77071818735406,36.07243642389759,34.826933954376294,34.02542103337343,32.99765711703133,30.2094796510323,33.402732181793176,34.04886547756382,34.74844067694283,29.678968565022785,30.198919046746454,27.58840338073168,29.2506365221078,26.68717839412213,26.032387533904576,27.03039007719537,26.788303362833894,25.097595493787075,28.690321824415793,28.589840356032294,31.449376014157412,34.2299172688023,36.5556116415208,33.37481476916659,32.34613650478849,36.790007344330476,36.53650849432308,31.715330237878373,35.355987912639584,40.47681912497642,37.122802422270695,36.61155107586233,40.43472605007335,41.15891307690691,38.02894904071447,39.711726676393695,36.516692148950085,41.54366157506949,35.35591198500105,36.59583132355718,40.67044367262656,41.93766487153657,46.23406636995346,45.38314818037383,46.61657228919681,44.1924275681114,45.780282048045336,43.800055126388436,44.529749305527204,43.180607936727355,38.351346034920546,39.36905684701964,39.34356236803765,35.746239978575936,33.96250599284853,34.472710535983204,32.49680324238542,30.079825262154632,28.203344495751814,30.375051931456554,33.75442215998395,37.14564252203914,39.8881258150115,42.81697406119573,47.24796288438817,45.50387999453089,41.06948357571667,45.06579250238367,47.39229171762082,43.079061974755,42.18545067950674,46.63295406067918,46.60630336162478,43.17147139664394,46.49217194731316,49.11547252384853,46.56953546425486,45.57848643923217,48.29136088488806,45.18244480947283,46.17190700743591,43.89059765672799,44.94600175379597,44.739223684694316,39.85896833695165,39.96223514638374,40.43162524220144,38.39822728637365,34.75735598140181,37.646771081930446,36.773937340425434,32.4041711237838,31.39031968231735,34.40186609670653,32.96229727412717,29.850597526927462,28.315215682877493,28.77611401615957,27.24997999895949,31.941570518515842,29.477164413285728,31.033946356871724,31.77911075261996,28.30182745530739,26.34679821994737,24.451965658622004,23.67644981434045,27.490733411139303,27.272885646357768,27.936284226849043,27.91815892098204,32.986692457510884,35.60093193308523,39.039270944270115,40.021856698114014,35.83687955292631,38.987684871477164,42.02185629307463,38.092109680296026,38.88093315402858,43.532172349291315,44.494353621257886,44.49177649896616,45.47373922270432,47.89668743788935],[39.48409793741275,36.762932176290946,33.538960760923274,32.256109709477705,31.74816974332603,36.726226608504625,36.981629809146256,41.26997997792998,42.15673406883106,41.25158612484363,44.795070330217946,47.740941550573034,43.92255134858296,42.88839672037436,47.23374171007061,47.245901843627415,43.1418179001537,45.54182194546378,43.97973525685919,45.39025130757735,46.49105132860722,47.86378232949884,47.46791683585898,44.24814955082398,42.88202683750641,41.42370459844877,40.950223268622004,39.982915835512124,43.817654432240175,46.04029736102312,51.08805663615782,51.13704700301177,55.6399333252052,57.31810863616347,53.50471434370315,49.97275619140566,48.97311782671719,45.32566116503241,42.39928870321397,44.536852400780894,40.941338289842264,44.57891496274663,47.5235832175917,44.712801517187444,44.47948222056812,41.62514053915982,44.72124103119851,46.32557724224779,41.99335589408037,44.07298213374513,47.89278576511562,48.408819498478834,51.133661699719845,47.411594762500066,53.39513670960346,54.9027989618282,51.34437376514762,53.2045879074623,57.419742582864075,55.23663317812727,53.07665795892929,56.94614293349018,57.27852227232577,57.43341342966474,53.33883729941589,51.63631559491261,50.28723624762627,50.01716478983232,47.740403459572754,48.684022538715574,47.20591499171588,49.91051633268754,52.1275541705969,52.74739089617169,53.45101342215266,58.72868660324845,55.67001070083007,59.78236379907681,57.142574904296445,55.6864908842243,54.392688061150714,51.190447117223904,51.11067341720112,49.643321204088735,45.77079409854355,46.90814807198629,48.64463351596077,52.49120238660258,51.947534558214485,57.572917135548686,55.95013988343725,59.600220628944406,57.879245010998446,57.372734746874976,53.348377630767075,55.368309947856304,51.68506947583741,53.45451522335363,51.66078954149397,54.31065771271304,52.44379297358776,50.86062471267343,49.64030883888806,46.85694847593804,44.590527266483264,41.16399092847223,42.91870173776907,39.51101442891778,37.47812144884913,40.26325084994639,37.54265441466307,36.97827143815044,37.61626425710335,35.13127427036028,37.60806146466941,34.61572128152079,37.04431708788114,34.944379579871054,39.32242361627586,41.43153200362239,39.51544634383978,38.7934927458488,34.139249842693744,34.1348306304207,34.698506416787694,31.596097080640188,33.73107643567137,32.97739054898805,33.38328592049285,36.30822163091956,31.77799568259786,35.25600349671985,33.023345147048154,37.473456072626696,32.00748744637832,32.611649079304556,28.246087480385484,28.352697401473147,27.435323890591494,30.470631607332038,28.083850762777384,29.41966400552702,33.46889011340671,33.60785233799792,36.17149388250025,38.96670494613378,36.91802293104471,39.64169895391224,39.96158280555124,41.049305728263825,42.835248647630685,45.909461622434215,49.80977480247127,52.457326881753026,52.89909893422867,51.062935701835244,47.92426103190142,46.47698054704731,45.751030905083155,42.216464822253,38.140023420924706,40.92738569138507,35.23023654022716,38.79237917771572,34.51711106589151,28.94904318650538,30.929609901282905,28.35920474673124,27.11610948670513,26.175473813523887,29.35367393740758,30.387992562353304,35.08687174883618,38.18736896724377,41.698267556188924,44.609874137558734,46.120444734946815,49.67748106844908,46.39477020960651,45.98225754152405,41.36276919317541,39.87956632752266,39.03528341746338,37.99069297488472,35.335795261433546,38.72200310101402,39.48486632905446,40.09106231112753,35.01151991666662,35.373340793310824,32.60506229346422,34.265764450918546,31.454116635532362,30.67128370907961,31.37136295202611,30.661457822212363,29.054587561057783,32.33867010351445,31.86938689899212,35.03728607051819,37.27457812976949,39.85897006861378,36.77167655204164,35.11562635883693,39.44830030908222,39.3959838731172,34.165197116068,37.496441388752004,42.86933994448507,39.447540689836934,38.4746933665848,42.20579518152182,43.25097291758216,39.769869830222525,40.98249232988754,37.75430681150143,42.67931369394779,36.05654862945084,37.872426559065204,41.88081756683223,43.03891630758014,47.026426767767404,46.383202696766006,48.17271895249781,46.04849020040856,47.92265255113079,46.425327238914846,46.969955793564516,45.15574726746924,40.680522138061185,42.0344076067395,41.51401226776086,37.74505881949624,36.48472370349497,37.15912386246133,34.416687322864185,32.026002814438904,31.141373416046644,33.15157395350891,37.203330214687995,40.35890989670947,42.91487292156494,46.17268623393446,50.44573361497251,49.096018478084176,44.49227736551071,48.09377101298328,50.72037850066014,46.53294837569443,45.18017845479827,49.55680467764308,49.6131866474811,45.932244149680926,48.97428644649321,51.6334108735671,49.04790653881256,47.685766899003646,50.29014684304495,47.12421269834439,48.31098870946253,46.3817484418675,47.1887949045517,46.54413158787707,41.91783750712763,42.17680570322483,42.08376157804325,39.95619068492186,36.74461382488515,39.22750119861452,37.75968493885213,33.72873631696523,33.06703016912178,35.39982631209948,33.46295570121632,30.593625911015597,29.269284582442662,28.773824108357996,27.281808133334764,32.14814852598996,30.27015470219866,32.50697634763018,33.62556516450264,29.649082998277304,27.978058877884116,25.693120769604235,25.605669941117146,29.722366904563778,30.27967283884227,31.392164950091548,31.712203443276977,36.20384026014835,39.172327838740024,42.41077986893344,43.7132465882092,39.3175506338886,41.98845591051731,45.26573036853577,41.687852004260264,41.85373867585785,46.531903665282094,47.835045052248844,48.049851655708835,49.13459730901831,51.621350903533845],[44.50169934144952,41.73915836762766,38.34689807882506,37.05750045352894,36.21377028898432,41.217449538635364,41.18793159722549,45.34629988175946,46.27126361543375,45.05715176506733,48.54172014781026,51.49748818024278,47.35277007833067,46.383203404656946,50.47672951891383,50.35058814287315,46.066732460649035,48.08590097010448,46.08376083825735,47.31232728532662,48.029985100729235,49.03443343502674,48.43387056406073,45.02358561268793,43.980012301746896,42.96775970299124,42.79568381190967,42.31271990620703,46.31155694617549,48.80503547703946,53.82680710438169,54.048917739840455,58.53924812129288,59.87497843823183,55.99385582683526,52.31263512275825,51.447984161889295,47.35564771165551,44.28247112603117,45.921787081781964,42.234050536432726,45.93307411947355,48.59013122259492,45.465385990246546,44.87928339080046,41.78658428197073,44.60130868597671,46.596752510284865,42.36227677519306,44.07015126181854,48.17539781189728,48.85020873271807,51.72865318129378,48.360594697445585,54.47741695776215,55.55937781753464,52.05109739303792,54.37909679951146,58.367494744990054,55.769154239197526,53.96576117939554,58.04534102824247,58.73111921464969,58.6269191915925,54.4032600196397,53.076622461268016,51.94237796435876,52.080455189345145,49.908966699183836,51.24904892258369,49.71849418033696,52.36727741932243,54.56571307545302,54.775048521772234,55.6908517044657,60.67837732807779,57.493785724940224,61.70321684643533,58.95557951126747,57.224929293290096,56.178047845152676,52.801498931118196,53.18946971334795,51.44736387278296,47.46818628743297,48.917095242494455,50.44588207966919,54.59869648090661,53.93183878289472,59.758547932360806,58.22852262623405,61.86981945297294,60.42910658695341,60.174431322792934,56.3520210777315,58.52841357880226,55.02796465608065,56.71645779010396,55.11713601665162,57.94950998400051,55.65461435921919,54.226957342571346,52.594448479079006,50.01161533692686,47.32905250019283,44.24945945526482,45.969220922528876,42.51869254989547,40.91163966519398,43.73070211657198,41.33395319034683,40.47209389305672,41.358305214087345,38.60005289251793,40.96841238126952,37.797791774920555,39.86513339500971,37.35751144739038,41.53576875553657,44.04537117364014,42.360297877299985,41.98575541401569,37.38863467743517,37.6862235575722,38.56427122865866,35.25798983677781,37.74292117750528,36.57339598692089,36.847759864956224,39.31435190275747,34.90444766922809,38.05677220607504,35.41470411694164,39.86956835151406,34.577625739749045,35.47013272961086,31.611946749866604,31.459483329663406,30.504068096748586,33.20434607002536,30.620743969371354,31.217083009406434,35.45028708478884,35.99187935008963,38.18808858041989,41.391526775238376,39.65114675764457,42.672972904333605,43.18438079571159,44.65327468102122,46.54722441419844,49.83280078406648,53.66490139509532,56.60419670006098,56.82692815189338,54.75612328687616,51.49213765721302,49.97209848712858,48.96696215056865,45.37679514389774,40.94856797874522,43.42311164067644,37.56531428962505,40.71738171396855,36.0129894502595,30.649115921732797,32.230608433239134,29.120029606448025,28.290768277152146,27.97614961721169,31.21993960672999,32.6761416323388,37.05130288414631,40.38917432863566,44.0004240930243,47.1385572793479,48.77413336406805,52.13915698347776,48.52188150185376,48.13403276076769,43.23751364582357,42.38288844764015,41.015667169307676,39.57141600222698,37.043067309539396,40.03319723453205,40.74793266839675,40.830037140602656,35.55797440514816,35.91785057604478,33.08940021264701,35.24179538144864,32.58767650520674,32.302003036060555,33.221761425498904,32.716544534767316,31.792826107172402,35.17370016973821,35.226448118421374,38.536465747586405,40.828909100436,43.59181481714272,40.67739020826616,39.12673291774724,43.43556050491007,43.63322122802883,38.63184656249232,41.836201910516216,47.1952057926618,44.06600027427992,43.15170142591177,46.8297999089018,47.97410342193899,44.65516621101855,45.809439631851866,42.526669867257375,47.294467447492266,40.52782684876352,42.2302036882865,46.16114599546112,46.95872923824171,50.95300308668153,49.99424413913208,51.716321100361775,49.44533568295986,51.092342384680066,49.603315089064765,49.75853321206244,48.088376460627124,43.91972183537029,44.91909845231767,44.063214532150134,40.62096362956061,39.40189873334682,39.58621135501939,36.85502369836913,34.972307994752356,33.81674306241084,36.45236646903308,40.17242602920668,43.26002938526103,46.1874599461765,49.34300359659367,53.7402541119685,52.418958764962966,47.9378791608553,51.75147199726929,54.41428870935145,50.33533443450744,49.153902226409514,53.62967964249002,53.81250167805091,50.243347227714814,53.20254713873507,55.97895988865279,53.578688946819604,52.17002263377564,54.65194485278771,51.40778369879083,52.35098940745727,50.26916597607899,50.84973077447819,50.46761888076796,46.00790717825484,45.87501616235962,45.79700221448236,43.91997192288733,40.54535784374242,42.613447587970924,41.39508356174952,37.66457432773134,36.556834857730045,38.60929931382488,36.993899646571585,34.42808191135347,33.55698314122327,32.83273442275406,31.78668424136544,36.66685300588249,35.068995004847245,37.16944958479652,38.45262430567666,34.61636456796002,32.776178633073435,30.36122000222915,30.021674416447652,33.92204000909136,34.56358501894493,35.254066149105114,35.735259619243394,40.54381151932105,43.28539453744702,46.571668538397546,47.89212663698607,43.64999258477484,46.51133692070561,49.74258136815142,46.06668495649109,46.57615879356042,51.217038172846536,52.36329927142946,52.492720610681104,53.530696778972235,55.98859209788937],[43.23361331447995,40.685843925138386,37.80234101292635,36.53798706770363,36.439790909764355,41.29390001140964,41.690040126943245,46.061440186827234,46.75819869295571,45.85153542841125,49.33411225811106,52.4144886725625,48.66129491630113,47.382534355553425,51.77263962681222,51.93142131475217,47.78122868871026,50.07148360003655,48.28743519086498,49.871186582325365,50.75559921311339,52.14339235850377,51.51559449710983,48.170180516030356,47.096312817994715,45.68312375740009,45.480139605866405,44.58679497686135,48.51050753320171,50.8625411548554,55.711920235638054,55.97931624416963,60.444019012899815,62.06545796807603,58.31572462111236,54.705119106578856,53.875346216614474,50.10187778988714,47.19476938853245,49.32426676067973,45.546232723426776,49.08323351274104,52.01728168285494,49.08391085745962,48.59329462435243,45.64584601474822,48.62716503638813,50.50862795056589,46.29009599054075,48.26913037111615,52.2440000272023,52.90688129486035,55.67151387304117,52.054281060184756,58.10773131819896,59.40670511589116,55.77617328618462,57.804860863232726,61.95406795158367,59.54303125770242,57.410625979703056,61.27767732845281,61.72299005397395,61.61362488795745,57.54526430415012,56.04698141489936,54.51257759277724,54.40327462465766,51.91699420968851,52.939983663717676,51.280471229162124,53.79248250056951,56.24100982466966,56.824299123163435,57.803528395831115,63.05961190368312,60.141986912470124,64.34664559229911,61.78780399700328,60.33623753333383,59.21915840435459,56.044064130784356,56.11435390612041,54.64806447391539,50.718848217720485,51.84891118311942,53.42648640501184,57.370235162812214,56.63302178085825,62.300029731113334,60.54593889401922,64.0740838841779,62.387010051081596,61.97928274961876,57.960830381283834,59.87362733730969,56.177963181688604,58.188387357847404,56.45167237655058,59.18386098072086,57.40272833253755,55.91751428929159,54.71986146493423,51.98979928089502,49.76255217251394,46.328833095792014,48.06041906397609,44.62301924892811,42.54883660731437,45.36346044115853,42.57617827310961,42.067282179295745,42.56388426818319,40.07510187357435,42.365610115955576,39.30311158035049,41.62642030876309,39.231769043893244,43.5018408379366,45.816531101682514,43.79595789299611,43.18463141407397,38.526737523922975,38.69137706308094,39.352456077573294,36.5041644377602,38.65216420738054,38.06001544261694,38.512856097534694,41.47444091581916,36.88180755207561,40.30331977891512,38.09123716841069,42.58869119682977,37.16220916295689,37.784196698162525,33.404768299769586,33.47493055025889,32.42219461801886,35.40376015363218,32.712884940457975,33.82667732993787,37.93242723892014,38.282723405801306,40.846007927364,43.77796927778614,41.77102455295078,44.56670881161856,44.983266052697296,45.982479042884655,47.83309143086708,50.773165358300815,54.752794586470266,57.22431036954467,57.706114025437984,55.99356583934878,52.846430141211854,51.50625389989044,50.74953734100561,47.326211680187484,43.23537505055329,45.90679993819076,40.17554637243323,43.7042889334725,39.31214530171853,33.778938731665136,35.75967030804342,32.966952355202125,31.9333212700857,31.155692009821053,34.38253158152353,35.44464310719089,40.099822836333054,43.258740234234374,46.770267601298386,49.73244171773556,51.17293076663401,54.78687053440265,51.45401889453479,51.085224103155014,46.404637989657004,45.035829962023215,44.11944905288858,42.974130856112374,40.3521218651561,43.607145681800525,44.28063598451148,44.73113141597764,39.50159410091033,39.96553645286236,37.172067726561835,39.04372045436007,36.25290659092251,35.59476586886505,36.27921401454194,35.46940026358588,34.02943589553605,37.210690625589294,36.662568911280324,39.94394721939338,41.953036997037174,44.64273212290093,41.59897210206457,39.6904515034766,43.94162682569087,43.96019248823533,38.55095604525307,41.720155879537316,47.18136941095316,43.68451463068578,42.47423401091848,46.133948913557376,47.30323492723891,43.59674470057468,44.55754933159276,41.371140390255356,46.215531942812305,39.41339870171528,41.593474657107514,45.523301776948735,46.604211949252225,50.34592036770587,49.8388073864733,51.97277396694848,50.03085955836065,52.03766069223937,50.81577572122891,51.20034170353734,49.150097372990004,44.95259512572984,46.4292652213191,45.578510083702675,41.7991794354914,40.842677651022555,41.5064091177167,38.36738273516626,36.11051086713144,35.68752846247197,37.70652479527937,41.99914060411926,45.029578792654156,47.53714501042263,50.9252205220513,55.126160220124504,53.95653973155723,49.300987885323956,52.72237124748398,55.476425744543896,51.348862987887024,49.79957015646817,54.11717072653222,54.19193737230012,50.402106686502826,53.30785784581232,55.95409410720938,53.31645608225678,51.78911841136324,54.33829753089052,51.16874833673204,52.47541932729969,50.75049682400662,51.41201104474707,50.52698786301243,46.078233611147496,46.41630626645146,45.999137964651894,43.842376976943406,40.904982388654574,43.09466365915936,41.290037938447014,37.5385925310278,37.06034385169014,38.91508047986883,36.71030070005329,34.0782536038615,32.91908379556322,31.785591305868575,30.330479761585316,35.214736966364825,33.72053079564155,36.37125003001309,37.61527042049901,33.36950252580711,31.95910125387639,29.546491432693355,29.858555148835563,34.08389947931434,34.964693318954666,36.273253557472536,36.66083857010305,40.8880976736664,44.016493893313324,47.17314292707883,48.55386881403846,44.05590524050281,46.51385153124165,49.850877376611244,46.3682485763112,46.210168148852034,50.908752639420825,52.343665752988954,52.61356092357067,53.72208733635072,56.207377692893324],[42.682942467693074,40.26226468405077,37.686028445766745,35.80759525532143,36.26991990940104,40.5916350057195,40.895157258017065,45.377022445395404,45.557165469364726,44.475340404169344,47.80071576913004,51.152722368040465,47.49579273331518,45.74005693151673,50.194859798064336,50.658806726922506,46.48190714711724,48.687059739789156,46.757550234621355,48.76626413949532,49.52701931561632,51.26380657725464,50.40929209184423,47.064453908112455,46.21189369817051,44.49427733307739,44.580904922976934,43.51310181088853,47.49538164964682,50.00292435258314,54.38881558440181,55.08999119755963,59.43881717576637,61.0498916594859,57.50876743910263,53.8168554299273,53.353936421508585,49.57916050769284,46.88587677296763,49.5494037445783,45.37806195164146,48.535031031541116,51.736443295384966,48.93452453529795,48.32481064541238,45.55909297736451,48.66401781621404,50.59099959083613,46.59201872047787,48.96546145887727,52.82843859574107,53.6827053254916,56.24287896642119,52.4158495981543,58.44044434649542,59.676386430832615,55.77988899830278,57.624532343538036,61.85058875272416,59.42463427777249,56.90551008248349,60.50393796727321,60.83369039569533,60.45112153049768,56.578900474482275,55.141369048012685,53.08911525160563,52.98677964443494,50.104630031076695,51.05390887314735,49.157420900297,51.4023636595929,54.1666805543204,54.89758628761755,56.194987762681215,61.552572146490654,59.01010251096645,63.304860499028635,61.03060649300186,59.85623353187498,58.993619480245215,56.13351574265305,56.2452144955929,55.152209168762134,51.14223850368489,51.835255154921185,53.09626835064723,57.01754937765765,55.867687965242084,61.449538499411304,59.35756953446796,62.628210859309895,60.878015917098594,60.56736683209381,56.52426452228087,58.19938714933298,54.486129432568966,56.968167192758365,55.37970831849928,58.38046872681924,56.78186047538902,55.72459550289497,54.595434302329615,52.207317364524975,50.47633323247472,46.95122305290445,49.0843509334824,45.92212135242594,43.61097733379747,46.07616182634009,42.91321032356975,42.15467355547201,42.11972260934243,39.51313214322188,41.28818656164671,38.124833573335835,40.31076408668349,37.610610784597064,41.749282337661406,44.183130377785,41.928219687652614,41.42045591535416,36.7976510673215,37.23867341457918,38.15189369676093,35.89985153615024,38.40638688083161,38.19376215729132,39.1042202976274,42.4489857848506,38.24150767802667,42.01249432196366,39.84274410245857,44.081888188820116,38.406047871848024,38.437470515805124,34.109621726332335,33.69439928488737,32.15347117568611,35.03132219950606,31.776429003456997,32.920636487658165,36.90400705392783,37.418642533054765,40.192193630814195,43.1277237536103,41.08547560268804,43.938127344792385,44.636269047722855,45.393305266712304,47.59487850970607,50.172831622294325,54.460506136182325,56.60281862324001,56.90899657854183,55.43486156053242,52.19010333671061,51.24834720288461,50.2909182637302,47.36968921721564,43.30655790277356,45.67791762124034,40.02675921221987,43.771266140813424,39.57788434727466,34.05091472741229,36.62919811969878,34.008735752614456,33.328306403004575,32.0688471753854,35.41052275411392,35.88187365816209,40.626432179472665,43.72628076226184,47.07351043828771,50.08421876029666,51.07587176198552,55.09649732116406,51.844008625554565,51.7687441279806,47.16184340226009,45.80034598384579,45.423133198795156,44.5229914323683,41.636803180348956,44.589756786016736,44.811595681853134,45.61559493947935,40.274545955537256,41.3156127815912,38.83290126544181,40.72702940507589,38.25966765380798,37.60052208969674,38.47979705879033,37.93836229463618,36.020229686316156,39.32820691116795,38.55994856527651,41.44384387467588,43.735575995403124,46.015318486389326,42.683726829392945,41.073317086192354,45.37542955665399,44.87006580726092,39.363264649994036,42.88307208616143,48.182892463545386,44.15541175931784,43.07497766500692,46.84062515406122,47.58937783734867,43.66278454420367,44.94682779362646,41.970859994007505,47.10379859789607,40.739957388747186,43.0021103671587,47.01931427474511,48.61988813984702,52.35673913709943,52.193254923353024,54.28171496050209,52.43376829337151,54.55701355733715,53.141578322885415,53.9349936915978,51.945767868630305,47.36908912169712,49.00566986738786,48.60789524538692,44.650369987862376,43.472866304048864,44.41319816788198,41.566022969250405,38.956744690053014,38.33546285346215,39.921757834774176,44.10776864755162,47.3227753929487,49.58581888278756,52.864372757335246,57.016309550771545,55.548374437345025,50.90892093506365,54.31593346170098,56.80209251834102,52.44243523237859,50.994802266065015,55.16824489204692,54.95450514032714,51.1659528388731,54.37722281778203,56.76615557351614,53.773641670192795,52.5818563171966,55.38917381889797,52.40758643283863,54.003351767422686,52.349922498664625,53.393498712075136,52.34278033389984,47.61958066736696,48.39767677507404,48.14781654898681,45.73056291759341,42.89473248503266,45.62557064892215,43.69661098139377,39.583118429038144,39.51262593878206,41.762038704804006,39.32919236220892,36.37857253998512,34.62122423182662,33.87610988537856,31.780567042670366,36.53404674115489,34.496581007776804,37.2570355939221,37.920437716486425,33.56947495228562,32.57005227643638,30.626104860869354,31.14897929398394,35.53265797640406,35.80931556917662,37.44600207201552,37.20289179872749,41.302961791126926,44.52442825871184,47.762179639734526,48.698822349692826,44.10973275124668,46.62249350717908,49.722952212245815,45.97837685493298,45.613679973993435,50.41536946123522,51.7977845877508,51.91911430564869,52.86918711937656,55.363047311798304],[40.070056904443426,37.82386854408042,35.64873375241747,33.793318189014954,34.80432869133397,38.929475219669,39.56485661661984,44.13708846990617,44.17930988116694,43.40210175514175,46.70823837109486,50.07655043275476,46.79827976984182,44.89098109532694,49.547194973312266,50.199222611632955,46.219928178970726,48.69862694087597,47.0998601080816,49.31478945890591,50.322894064344254,52.364025397371655,51.613213503642214,48.416085912162686,47.400697476156544,45.34158369182105,45.26531798881975,43.81652168705919,47.633106686333086,49.919477776789314,54.2004549221161,54.82845491077089,59.13192278120404,61.01837362920802,57.593199019910486,54.03782908732573,53.52464361045126,50.13274938808476,47.603814217932104,50.645972197845815,46.545196429643376,49.58059703490827,52.983846424389775,50.425714242619314,50.03323080234741,47.45162538473108,50.71647176443849,52.40040443697295,48.37745379735774,50.98883488923612,54.650418685501904,55.40427223421801,57.84743825336635,53.79510166507489,59.68752395981777,61.198575817713746,57.268658170808436,58.77062391733372,63.13708046670761,60.99684458194924,58.21383569785819,61.61128190667933,61.66993273653187,61.42908710676236,57.70273634303557,56.02143293500591,53.73338912206528,53.32982713258209,50.29955456442453,50.90241932254869,48.9989833457805,51.18924524955711,54.0432116194295,55.132916077126985,56.33446401646645,61.90097455691204,59.54641834958757,63.75867838510699,61.624310187602376,60.69749462470764,59.687879119963654,57.004794383562576,56.76869313859997,55.913076401577754,52.013347552081676,52.4391541698559,53.81204131340801,57.468195596908004,56.36692392672686,61.74132457309045,59.53293493514406,62.74042193322729,60.76137031431181,60.260866911282285,56.06672055220856,57.53756140445647,53.679695601970025,56.319967347377336,54.591548498997525,57.43198403724342,56.27932318151112,55.13285431609017,54.39638023018564,51.876902634790625,50.54543891498401,46.76303426383285,48.88261447172794,45.78937733514766,43.13036393048966,45.53686352234244,42.1058126948082,41.6492424353782,41.32076372605637,39.00984376713088,40.75899899374811,37.78682539559691,40.213878973463096,37.81076628966393,42.01127493890262,44.12860027685367,41.64506309865677,40.87111698945041,36.2802185746505,36.51014141603549,37.161130496844585,35.28173210334549,37.422986169005824,37.674960667587776,38.70804970403699,42.40260919343929,38.158207533093204,42.09552483700649,40.31675556831525,44.496265241751885,38.80519619953747,38.604410122517145,33.93732719024757,33.73544232209813,32.20740133297887,35.27207144222672,32.15397696743345,33.815073071594405,37.57018931230292,37.813101890887175,40.84910066788112,43.4371277050777,41.17387496764322,43.74171481675217,44.30136079064243,44.659604322647375,46.76274690511756,49.0445129915004,53.38039831619679,55.15237780079467,55.67133772414967,54.4893171302116,51.39348510452196,50.57830634390347,49.871927395272245,47.0884289751996,43.39192549537746,45.9529807371526,40.5187088239696,44.533983580169775,40.7158646302504,35.147652410307735,37.97582905638904,35.73778561238826,34.81413938853135,33.176466287622866,36.402573893953964,36.54196008082396,41.43997579014467,44.312384977615245,47.52816512431861,50.32424693420383,51.17156704124812,55.33361651390415,52.385262605465876,52.301044049111404,47.95849758115265,46.12940119325608,46.15821694549929,45.553095456945336,42.627951985485275,45.82059282547744,46.058168698606615,47.20979437753662,42.03235824492387,43.07171152202231,40.64360138520579,42.20358807453995,39.648084141379684,38.664329229243464,39.341520026595575,38.6025524414442,36.26352273688318,39.36682118224188,38.14530529680638,40.88327790429566,42.98163552518441,45.102110584805864,41.69388825225355,39.91208811743684,44.11444550966264,43.40876019125128,37.71376671375216,41.21196622060463,46.46930937091841,42.177465418685856,40.95033026683186,44.673462689932535,45.358014391254216,41.221952453585864,42.42483889149811,39.58578987261333,44.75880272323056,38.58209633578583,41.08424512426119,45.071323374921334,46.965598224315144,50.56797067009159,50.725566991261736,52.98500696530167,51.379149912922884,53.735672976878085,52.4473293641239,53.50037187927259,51.31435208994659,46.6527592072254,48.62180036964569,48.378257558568464,44.198587900063515,43.1359179256508,44.46664479821815,41.49878149457714,38.5786474591617,38.389057241996134,39.418294678269,43.90079159694825,47.06971355456713,48.95415176724156,52.33553446423623,56.2972356227483,54.89940869134154,50.18718293065213,53.2817725060073,55.7615610601089,51.37849129523265,49.708395054863935,53.708473240637055,53.384289213657105,49.487965912721194,52.68220355011699,54.92393705723495,51.7562992461482,50.554614898435105,53.42744176721914,50.5584120038097,52.41950210534508,51.01956399374665,52.19365180305389,50.81089721133459,46.07862911096347,47.242221618520794,46.843762160922246,44.21938446388503,41.71114629067325,44.64024184618238,42.372121053786756,38.19193214400823,38.61544853094644,40.861111147979415,38.07074141319705,35.02145880348844,32.94744316128751,32.15247200710163,29.671917640573334,34.280435863333445,32.17961270143108,35.219314508836135,35.7346243164392,31.209685374347963,30.57260942567347,28.788957162502093,29.734219963772738,34.242434962068494,34.566160125810164,36.64444261955279,36.27950377344786,39.85332004669017,43.307041913029046,46.41010021410222,47.36181353327102,42.63213802221922,44.82734319350855,47.95089447427858,44.396754492074336,43.57350484618212,48.36624132723596,49.931200176248,50.15994030813581,51.156127005359934,53.6973026753402],[40.56295848313221,38.547309662385324,36.82884464024552,34.76581934881769,36.348746430541595,40.064896981517286,40.83746271253066,45.46079597418881,45.16439182596892,44.453074569427486,47.624721331694765,51.12671134509468,48.10433428862146,45.87247869126914,50.60809779166335,51.51072128268612,47.628477824814745,50.126928892600965,48.551858263290015,51.06007195810991,52.04323290151172,54.338294897961454,53.47263156219367,50.323936565725155,49.42856977829519,47.14326960187894,47.200240393912935,45.56535368516865,49.32711464028852,51.60556188601544,55.553644878344244,56.39642121050724,60.59228535834763,62.560809675168464,59.31139933283198,55.778273504801284,55.449988581366945,52.19807525383934,49.843899657808116,53.21743805625227,48.963924044318034,51.75489165912143,55.316274317484115,52.88449437951088,52.45599573335003,50.00821438520937,53.32697626027686,55.00261901452692,51.11937526813756,53.921951718881544,57.484862439693,58.32364822959987,60.63517064416649,56.46882780874972,62.28982021969846,63.81794161803825,59.767460172742034,61.10333229223832,65.51594118092312,63.42331589410054,60.40266119656347,63.59124758207729,63.52667684362738,63.14800550649155,59.59361744478495,57.912065750098144,55.27065545595412,54.798281617409465,51.49802911604418,51.94165919892227,49.89322437647291,51.85813604589836,54.939193486341125,56.22714266798136,57.60346612010628,63.25946916782884,61.19960333034211,65.42095620862125,63.4990756767945,62.79272414812279,61.88578670710506,59.42028556111731,59.108103917067695,58.49827985412741,54.613313239338744,54.760150811885694,55.99587424977766,59.544995508925744,58.24209355441281,63.47753660640237,61.05033378645968,64.06497126961982,61.983840233422725,61.47833461011871,57.23920814250029,58.47428659331919,54.57094223781086,57.54046960905235,55.84645295613534,58.73828553095819,57.88497821120009,56.91616230685888,56.380507703341785,53.97777639746781,53.019770768346675,49.124578352759485,51.371984899356384,48.42311279354429,45.55042464013106,47.7867056214878,44.11761648188213,43.70375842599781,43.007859782516185,40.79760397242932,42.24858623885027,39.33448547930054,41.73840831324056,39.27994179422606,43.353797007687724,45.427111561201556,42.74744205819574,41.94922785627248,37.45761281496178,37.762765659557935,38.42738150812021,37.05178115789271,39.15928636071087,39.787067143311795,41.04245765131291,44.988546212227526,40.88761414303259,44.9658980797416,43.36203229837757,47.41744715307377,41.678303245467916,41.18613160957014,36.46541436834805,36.157030070842886,34.43975389379678,37.47467445697682,34.15631271140099,35.93638539263657,39.516641618904885,39.77525469119959,42.95828407152518,45.42353253259779,43.095322128176036,45.56489129456317,46.20458624850821,46.27193366647007,48.47671955547693,50.42323505554961,54.897511622351836,56.303012756868895,56.8476452817413,55.9390892375342,52.886204319681774,52.327608004217836,51.63854022309619,49.16860153823158,45.655567045093356,48.11779716938571,42.83985825933897,46.99480211337158,43.39072670561445,37.87358596742857,40.973574828326996,38.88777240131928,38.06072348908442,36.188688582833954,39.39692192872397,39.216144400363866,44.1451449952064,46.90425963513055,49.98418387823599,52.71122424404504,53.298412589654774,57.669506907801214,54.87430231606528,54.912912457096056,50.7062221375031,48.74630430638351,49.10683573019281,48.673976193767466,45.66375728588267,48.78209997566909,48.833014455928584,50.18966359923112,45.01808306876613,46.28673440941847,43.99419788315024,45.48960161507046,43.035712027681114,41.97646035563607,42.64328354492463,41.905938790283145,39.31162571048079,42.33929075481901,40.8652411542441,43.4077773338982,45.45640814277204,47.37145621758006,43.86669959036946,42.07855827795732,46.193306950620936,45.22881285550596,39.43568252222218,42.96972372261239,48.11400013423469,43.51900375887054,42.224743975410966,45.904687041755345,46.41668471679542,42.07421847716913,43.28116810148116,40.64492095285628,45.86147940868617,39.97309344222677,42.68721932537913,46.625723083380045,48.81009511406306,52.23120446562976,52.71175631284159,55.11833587899456,53.70844745532124,56.228184464990484,55.00352417301749,56.262543461016435,53.964694898481454,49.23854360517927,51.41972725206793,51.30989634147784,47.00305993472838,45.99440595293285,47.56070277905105,44.55840481183666,41.45370410575744,41.4723415588607,42.14348280802728,46.729424321502535,49.89554029698272,51.51949578779651,54.91663040521811,58.74272495576597,57.31619187969612,52.59317035495916,55.48393139286504,57.878016862563854,53.43967501573508,51.67199056948264,55.495058739417516,55.01516658841754,51.07166955979793,54.314994288975264,56.367410766416114,52.98543669884729,51.877143547084465,54.843800077307996,52.12238037474474,54.2347918390591,53.04078757804321,54.366489383033915,52.72018470919942,47.96902775536684,49.47473338298535,48.988564366824896,46.19468326671457,43.96181315220468,47.062064191421946,44.53733759917196,40.32164284803104,41.13329299464321,43.368725737392225,40.30538758587704,37.21290054727588,34.86883686354121,34.0340040232285,31.21375460040651,35.61110627212578,33.42387757423142,36.69388380884253,36.93910411631872,32.30433576361664,32.08254266651284,30.553421378531233,31.835042929726736,36.39711891865588,36.59829571258601,38.99584334172727,38.36972041586434,41.55869926499597,45.152845252323935,48.178714877059264,48.971280449081355,44.164012574809924,46.15648474798838,49.176131151122384,45.66113593155586,44.45943217302793,49.24347883321515,50.891087820250725,51.11891926824183,52.06791933996453,54.60907485314796],[37.03253129603162,35.1311678158463,33.69519136796868,31.267643398258414,33.315521586372675,36.55902947530007,37.39310880985641,42.02996782516003,41.44098673545693,40.82278109337874,43.88819252137711,47.45492444898844,44.714796918843525,42.26605775652811,47.09187180266111,48.19412870028406,44.4874901303043,47.13196921290455,45.81558795775571,48.55031225618701,49.714620570021154,52.32685505052102,51.53543699569198,48.57570001057632,47.56389431625182,44.93524888527782,44.90913304262793,42.942262896715505,46.53453073555862,48.67018500515748,52.36583573658429,53.27708294308958,57.367754710241186,59.50439129655177,56.42639950796851,53.005537518262244,52.759001211666366,49.831955761504595,47.70863559619689,51.52141273121959,47.25862258753507,49.79938601633816,53.5672203723447,51.42673210054266,51.192810869528735,49.01784572519062,52.492013553509125,53.89392625154022,50.107512678385284,53.22717806233036,56.50589680005136,57.31287053773466,59.40964095210992,55.02095317963812,60.65395215684171,62.39122055537403,58.270589279829785,59.230237276047795,63.74791937293658,61.93784968802626,58.600999846394934,61.51736139620901,61.18410109931651,60.89037490658165,57.534762163120234,55.654831507418656,52.73618557721009,52.00876210061098,48.55646059390063,48.701871329195754,46.637257516637874,48.517157168730655,51.66831760210714,53.26067830364106,54.58640510784812,60.38741767386648,58.567611803718826,62.706103437525464,60.980919993190575,60.55811958158687,59.61618443875883,57.42119259170385,56.86701929074383,56.58754168882385,52.79700750661731,52.57266361761861,53.771605583282096,57.07026914986887,55.69353790717997,60.69678723094287,58.11555062559328,61.00356118410763,58.75030928391097,58.13458844184306,53.82108410994352,54.85350482629669,50.88631058687568,54.0610950029902,52.350886815050686,55.23488931092993,54.69971607383324,53.874964897167274,53.593097266745694,51.30477310321447,50.83129962985728,46.80859021697374,49.242167348575784,46.54444879076609,43.42957867963045,45.379144490645004,41.44565032983245,41.041810668954184,39.94321295803124,37.88685826661882,39.08628667300413,36.322435743301554,38.809678633368655,36.56590834678765,40.586537822429484,42.389183692787554,39.525408915470805,38.56722341984055,34.191226383131486,34.43021813123852,35.01700167802698,34.146353783256735,36.192531456491615,37.2313564649554,38.77081120251807,43.02118158505459,39.232084078650914,43.516967829949486,42.16580749134722,45.949840899459424,40.17880448337056,39.24526855502853,34.50246886851641,34.063193271732125,32.182363195800335,35.21128177677764,31.90434911532982,34.06726098951147,37.324629108210324,37.39794182210167,40.78578041272058,42.93270699072255,40.47384352540754,42.724970977016966,43.382231293487365,43.11685465662104,45.40377790342984,47.01193384097912,51.60502321345788,52.69275879633267,53.230216618359556,52.56760397378203,49.579228214915204,49.27038936194752,48.63765057729093,46.50660931020123,43.28569407659292,45.706584578825705,40.71228850987686,45.0724605279567,41.90745747237661,36.49188757290467,39.95020462621348,38.30163731018726,37.456373407721884,35.13386826173398,38.219490887716674,37.53842463829613,42.50047881822676,45.01892182773758,47.88453976025412,50.45159596669758,50.74277115227782,55.326540475714914,52.801951170662726,52.96613099185467,49.033941012427384,46.80260064056031,47.69019326743322,47.58860159894112,44.467658163049265,47.56175714663956,47.438025420913924,49.20124522183827,44.21586271057467,45.694010878126555,43.63354592049982,44.846662254122286,42.553574860659666,41.304220181326436,41.9571812484591,41.317576458598204,38.262389030273255,41.218647393393155,39.46855668270522,41.60332396838311,43.7759345184815,45.29509415576264,41.629387603185215,40.08111226019398,44.134132668245655,42.74134495360891,36.98904013117298,40.7343829128391,45.63251429110766,40.68612394560818,39.54011065994137,43.24717287486741,43.393077636434676,38.97653102143935,40.470968964478736,38.05461881219096,43.43820776415294,38.10109616183269,40.7376867296993,44.6916441352983,47.321498288341374,50.75958200239949,51.50285331177457,53.7569841257991,52.4324971828877,55.02544938442881,53.635161283799945,55.295501015769936,53.08127773282242,48.051358779946945,50.384163015474606,50.73848044375789,46.31126977317841,45.11916969977909,46.989995981003524,44.30832277816689,40.88358664392044,40.79675666774292,40.95187074270995,45.42103154938307,48.664812624471274,49.97084325966452,53.24811987063687,56.94316153201257,55.31707199664732,50.6522587859204,53.42829139986781,55.57881211155338,51.020861544607854,49.31667837996358,52.952322142143444,52.2453954835775,48.34847359413834,51.7941931948006,53.608506714517276,49.989077094741916,49.17495892214497,52.323766471612124,49.79888663048554,52.120291341121536,51.00059415380982,52.66173829812859,50.90802665517953,45.969584970728775,47.85059718263646,47.55682728501037,44.57748809009224,42.46240031024626,46.04281327430586,43.50554173713928,38.99969274095278,40.16252173626721,42.79020830774469,39.63722295253002,36.28396715284274,33.42717266896119,33.13476554368625,29.82310800135113,33.93731171987063,31.224292708931486,34.41339533374142,34.13620405762098,29.583999794200913,29.708499352164363,28.684137473114415,30.08307205732261,34.61054869659171,34.31955427781595,36.9982289297139,35.91794303666118,38.78498122349493,42.427207430390304,45.420919184472986,45.91828295259294,41.090638764386476,43.019306494279874,45.83958467002353,42.26076831916117,40.8530857497393,45.63588336359763,47.262939277183065,47.43658044188548,48.31017203359608,50.85545538893403],[38.964092053208894,37.27991995097785,36.21528901789432,34.320248221045844,36.59488578737585,39.99132789776413,41.21345641477287,45.85910456516345,45.41310945411571,45.12582129147102,48.22112843007472,51.684442294788575,49.18425964447612,46.81097191160593,51.72192793589809,52.83571715938971,49.243451939986265,52.02286634731082,50.83644993287287,53.52988883392071,54.76299998329581,57.340762127472196,56.58894397623943,53.61179066793655,52.56473037029864,49.97065238924149,49.85369308128349,47.84187069859145,51.36701582960873,53.35939704166104,57.153029606343885,57.88833365168477,61.992250964641805,64.26878069577525,61.17500128220466,57.833310713976694,57.436540945717,54.64063836548347,52.47461075559725,56.173680853758505,52.053001357708546,54.716583114079604,58.438902695525144,56.258878542976085,56.04527315928708,53.77759729166437,57.21355869698269,58.65430573752483,54.764386377204495,57.74024480279786,61.10205312678527,61.826622116864634,64.0215729550208,59.67585401380993,65.32885074428454,67.13039689332047,63.0867146340248,64.07908345726234,68.60281611464387,66.80764712580452,63.55866214770093,66.53172849095598,66.18743275567888,65.96072008976218,62.579686164274435,60.66068882257319,57.79838877914153,57.008022776666294,53.5801794501033,53.62750945343549,51.59244520610941,53.45630273861224,56.61605543009385,58.29728285835985,59.55920332357637,65.39807897856801,63.55991673922313,67.65729146820783,65.89650991879488,65.45131613206446,64.38101924449435,62.10373089176991,61.414205276746515,61.03729327361214,57.30789926120668,57.20180384527838,58.56730099910896,61.79917037489753,60.57852252184679,65.5436116254809,63.012029157757304,65.93083421669172,63.60372348326573,62.87878061267689,58.50149673645352,59.474757383032305,55.437013173487735,58.56161047957168,56.70648336629374,59.34774416960791,59.05582598438218,57.955489634951185,57.900041959900236,55.33336746664488,54.808396534709715,50.6656493123478,52.81821829246211,49.947722595089324,46.72509258115223,48.90383944063496,45.0032107092425,45.00282254145476,44.004637579376386,42.209687710912505,43.63126096070304,41.00634521883994,43.64389702542289,41.56669360551009,45.62758996398057,47.31969505513688,44.427265846590736,43.331853898513145,38.97628778058267,39.015343652529204,39.32808286210308,38.41231370385177,39.98542965252618,41.14020929365687,42.46477465485366,46.708540770421436,42.57131095231173,46.72633095787382,45.58164872971677,49.56161828652079,43.913553718900516,43.24890917972174,38.23123755309621,38.22373568827934,36.604383395288785,39.783682696882565,36.713476935961246,38.96730922979983,42.267677578047774,42.23429027839587,45.62907599949978,47.6906629031351,45.15637737838695,47.2595729772415,47.70665921254465,47.304216915919056,49.3221593172915,50.885573901504515,55.33911635660347,56.25386403747876,57.095062472941805,56.56706872848556,53.749498025923764,53.3272078729832,52.97233951940196,50.65950488944675,47.61921211377717,50.285237891850194,45.307586156739184,49.678301772757955,46.4793036988724,40.99098026633468,44.232994636004705,42.50392109503721,41.42259876751029,39.2743916719602,42.310839625645535,41.86172765546634,46.8735476954735,49.366628196753105,52.28473107858527,54.7382657719381,55.19302456409538,59.649970305266145,57.21367605951218,57.21349979509874,53.32433122167028,50.87370908933105,51.6105159663147,51.46125467806354,48.47337235446145,51.84249050940847,51.95280647448002,53.606366647757596,48.63415960911293,49.831586765602246,47.56990099554729,48.73425843621153,46.17228146998312,44.7998503063577,45.21796321960771,44.23048381283279,41.2895016399113,44.009834676002264,42.05205379033882,44.44201403318844,46.14917085754394,47.90357256881149,44.40623604905032,42.360228210879214,46.24846880467606,45.11830896265207,39.18332226909136,42.536033099063395,47.561638895623496,42.74534926798667,41.21458261325489,44.73291233691474,45.22006375794255,40.6429768564148,41.61954655372474,39.2244525489668,44.33349530293088,38.75124802443457,41.80095768023582,45.591670248469825,48.0611421653857,51.1633924535824,52.081742085090006,54.768544809602695,53.71078991052263,56.5034058427662,55.524231311150764,57.01463951780179,54.452927932452845,49.77392070478624,52.33681745483258,52.3102451475188,47.81071652588212,47.030149958334064,49.001729412784734,45.809531698513,42.452486091724694,43.06432105569088,43.12815890765749,48.04121060019166,51.066302780371416,52.23338940171121,55.751719611676585,59.29646054547919,58.03571428009977,53.267288591334804,55.7002247804871,58.11236377879418,53.73612503278244,51.65924179849638,55.21298698544369,54.631526288575735,50.57864768183348,53.691534112318465,55.5471730980343,52.00234282058274,50.8247624666358,53.79657631381059,51.24387688278474,53.6732623318868,52.858281042574255,54.2647441946026,52.17940782603802,47.555697878093824,49.50103911285325,48.75079604467091,45.760654274192156,44.032821206411846,47.212233826816515,44.25307218551626,40.136946626317446,41.54065557295731,43.596296944785564,40.124943335383385,37.06487305098524,34.47575759959692,33.43853773555392,30.28213510046398,34.31894376067177,32.261128517385664,35.88620040664715,36.01405199292274,31.246885872691,31.54633429225757,30.216764207277592,32.044333313730775,36.61103818362983,36.99279232287417,39.8649616794324,39.193415966778716,41.620387695664945,45.4560327274958,48.23203636610227,49.092348347157156,44.1879861282675,45.674377828136386,48.708993126683346,45.56033269089863,43.716955921904756,48.39006482360502,50.29476063497348,50.702346698780744,51.704374688539254,54.271915048940336],[38.8010108951353,36.87211089501121,35.32764508258048,33.89198027239739,35.54025177218826,39.55642511795547,40.760149107842764,45.37950849062492,45.41854523606054,45.164826568773044,48.46364186857714,51.74141392364235,48.98794403884492,47.03626854126759,51.90557412935706,52.71430899663026,49.024385146516636,51.84193607220829,50.667758692645926,52.9991462834956,54.29235479043173,56.55600804654621,55.957423590854795,52.90883022323454,51.700287626862455,49.38132406391868,49.067977976029695,47.25335803408201,50.83489547510589,52.79019180847416,57.05004753246723,57.45390935855164,61.712729334911046,63.943354382641296,60.61462707701812,57.26529661517182,56.58009474599403,53.65682199692547,51.257605884027164,54.521751758436835,50.636282054769865,53.646666502771836,57.166292738495116,54.821415269114524,54.66502782462004,52.21043697783306,55.573753895644884,57.027117574397884,52.935584007037036,55.628082782224894,59.12613174999749,59.723895233874224,62.097745217818506,57.913151727871146,63.655827141597804,65.46854598022954,61.60046789754821,62.80567456174178,67.2791872035039,65.43075322828652,62.502617894816595,65.75713599454339,65.5608211525295,65.52679273594038,61.91847363276575,59.982006470500345,57.56513462279955,56.836108182823324,53.73653631934008,53.95008208031893,52.09411721954719,54.24304146095799,57.1373908931402,58.60663085649482,59.63589303816163,65.3946721452315,63.17716258320056,67.25871562537654,65.21551085153568,64.488541654456,63.23993884287068,60.65899252070496,60.0060774307984,59.28825524925662,55.562535917169065,55.84157044222944,57.44437305580372,60.78825901229349,59.87352358569073,65.00922136109281,62.762526597634576,65.94294353823567,63.71183633781463,62.95277263916457,58.59319925848809,59.849585301866526,55.82653079713322,58.52949945222221,56.5704492112978,59.06638577973068,58.482902799788604,57.047846088962444,56.82795773087472,53.9954323427634,52.98505884234705,48.916193083848924,50.80028529272529,47.67327490881436,44.65395672261209,47.14807226952455,43.53901359406832,43.6511171783264,43.14257741614548,41.315125663832156,43.199955097130974,40.53795022149845,43.278913145657555,41.32723862795477,45.5707492506583,47.28730812396393,44.609240790183826,43.487909200175196,38.9806233569318,38.85459534211844,39.05095841697704,37.48845924739868,38.925697854683364,39.672807527594166,40.64498690156914,44.60329278331825,40.12560294142416,44.070948611617915,42.81175307344158,47.03268582001863,41.48323652434752,41.273177613713116,36.17400390844562,36.48230168899968,35.188878066648805,38.484087716526524,35.734631571301925,37.91012396808655,41.439258775667724,41.34132107589624,44.57980060514161,46.75829986624629,44.261409193377595,46.434118973902436,46.701871054729914,46.60543974108666,48.40139691718455,50.38274699950644,54.626342817851935,55.95541997048552,56.87833686426474,56.04792346383162,53.228139010695976,52.43520701977746,52.1644274866765,49.37916839651024,46.17839093657031,49.07437791387901,43.90303038465945,48.125910344099246,44.66278784612872,39.079944003685085,41.92348228168874,40.00495594328969,38.700990937382564,36.880180365284446,39.90986489726349,39.92258517160031,44.930298492094614,47.546311343901614,50.65419442600542,53.149585498081855,53.99182193532914,58.152226372137164,55.55914751722523,55.340939292765576,51.30212990151866,48.906836016136346,49.186845218861784,48.81835675415536,45.98624470435109,49.566970654144434,49.999205599793704,51.36751029678503,46.39996146547331,47.21163831812647,44.71729305981202,45.916087843748734,43.12100429582884,41.769449910999306,42.088647749122224,40.936891899645175,38.32830989197676,41.039775365696016,39.282111245516816,42.03341155932696,43.610550722754226,45.73366714465445,42.40973051933961,40.146074639215904,44.102653048795844,43.410978171171244,37.47829566452812,40.64907076524827,45.91455552628281,41.519515396941195,39.90774441627533,43.437337134948976,44.301657850926205,39.903999193019864,40.674225356983754,37.983911042455375,42.96764278661373,36.83021840378439,39.80047856921683,43.61921046456239,45.649568500272586,48.86429810632776,49.43353138564568,52.12889207154779,50.922876543352686,53.60406844510384,52.71633239654476,53.87754352825551,51.29681959222848,46.83307706470868,49.2417354291883,48.88151863045771,44.48999450588398,43.821126126578534,45.562388440502474,42.16630504233543,39.04188340120421,39.72429535067497,40.176217415753385,45.18128385365476,48.12575603115004,49.562929632973656,53.17728336270283,56.84255963251163,55.768550082626895,50.95121773646068,53.51153582741047,56.15413117879002,51.90474965475518,49.7895030092969,53.558827719586034,53.23079194518091,49.15514173115405,52.083743797612094,54.21842685180981,50.972191811791035,49.51485275718074,52.30447029976237,49.52728067454323,51.679124127503016,50.716803703555065,51.822924529491054,49.933383179781174,45.44044766225102,46.97808566859007,46.140937599501605,43.348776083376166,41.417101400803766,44.222017466169284,41.389752236195136,37.45727700014852,38.482173228749986,40.314504293323054,37.01623330059622,34.11461596680017,31.961832464225516,30.62785526383638,27.944943541813853,32.30694886162711,30.620552211878724,34.16866713039365,34.83023584888191,30.058442277254834,29.877144923609826,28.05941879584802,29.673687596576066,34.24114854844606,35.072360359370705,37.654015806815885,37.47373611572632,40.224906333261025,43.987306176981505,46.792413111420245,48.01006275174528,43.142204464916034,44.73076444671075,48.00771241530534,44.9536026824302,43.43731876897104,48.11659966172372,50.033708335321364,50.53783649635445,51.65367623478665,54.260283213411576],[32.96092278577236,30.92613608154796,29.297245440156765,27.650046689414815,29.4068279444499,33.29384723690914,34.53808193939907,39.16266896036042,39.201565651448504,39.089912785682515,42.413712168859405,45.61667346172209,43.02903491345267,41.14937341276182,46.0916011732472,46.90921531188446,43.38729127452759,46.4355540454349,45.64364257791303,47.97468098618876,49.57587998764608,52.022101965641504,51.662780350792005,48.837738366846146,47.323039800216335,44.75119911638447,44.147490397696025,42.032865623531634,45.41361870140931,47.13655224504424,51.42980378615817,51.65457966360731,55.89369858379869,58.30906679326437,55.02925337701879,51.83122186571849,51.029105730570635,48.45810522994101,46.20079737234995,49.749083496539924,46.03169835878863,48.963054075499514,52.60930518285303,50.55320909025123,50.71814881177967,48.50837101989903,52.03560554174369,53.10316350246549,49.002365891799585,51.93548682458693,55.12350036448584,55.583798660432464,57.791342752995476,53.40075217905639,58.94641759989986,61.06460580825122,57.23156202225084,58.063332457142515,62.64678488774809,61.162400723959216,58.03587220880928,61.12285419654419,60.66700021845806,60.912573440756724,57.40845834682039,55.17819077771082,52.751091908872056,51.71317158571786,48.697045067695846,48.63586041357707,46.93122988981572,49.21159298518109,51.9465264114193,53.651352940853286,54.39921398452112,60.27625249214997,58.080863993022305,62.02697090352125,60.03210337397171,59.477504034664314,58.04372661480066,55.61244015432209,54.65409484592507,54.148458564429475,50.5535456391796,50.599161713890176,52.32923602523138,55.412088701258796,54.63606398637816,59.581376039320915,57.356597233233245,60.57504434296059,58.1926273028524,57.256549903926654,52.8200944790406,54.03998918845311,49.95187100921264,52.574212683999576,50.51571458885919,52.902783393975206,52.49544127711882,51.015454157116295,50.994192297072836,48.13627842370088,47.43619631211818,43.24849233204344,45.23514736761004,42.288437181987725,39.07929340575674,41.38209741902612,37.60511803761707,37.77713527800733,37.09320244045072,35.4382513315028,37.360758672161595,34.88427911523598,37.83023830908403,36.30823552782469,40.63070764842046,41.96987364267093,39.237451314117585,37.867176671537635,33.40773609203324,33.02857383488958,33.007822751218065,31.59250882497426,32.85542129462983,33.84735817949283,34.97228141809347,39.16541323301024,34.90268084331585,39.036030366700714,38.02143668843318,42.01836783672881,36.45361355815922,35.92382020632792,30.736855973858603,31.0717641404332,29.79872021820459,33.187402335902384,30.731266286913524,33.40141128033875,36.647136704289856,36.221729360102536,39.616457832443686,41.43445546993514,38.78574226147991,40.70924778642128,40.86353757849581,40.56189654697081,42.31588874375046,44.178519932396355,48.44241230247095,49.69156027512246,50.639754042199726,49.88068530910613,47.12711370956129,46.388490024152595,46.241079440999435,43.56100685839219,40.624377928876044,43.63637270009068,38.71063372951124,43.109518682867964,40.07105971290496,34.560680687126734,37.626996808971526,36.21014499413912,34.72860656625415,32.47576692792323,35.33094719823415,34.957856043712425,40.01378251870896,42.38520147790534,45.336274332960656,47.648932582475716,48.366201133155386,52.60547317624313,50.26411772926773,50.07016544740668,46.300151049548845,43.575497216063596,44.28283293878667,44.23412932405633,41.3360405327857,45.02273696172635,45.4327019448367,47.180083897075164,42.48347184830016,43.33325139298818,41.02617440117935,41.84029123694079,39.14242796926914,37.54028380265979,37.80669218208042,36.74132252897658,33.653918716732974,36.31564433521902,34.32861352438615,36.720423520119816,38.49172563712299,40.281641665158844,36.798904605725404,34.80160331640752,38.791463521942404,37.753060246402214,31.86453876896343,35.32561628737441,40.43319170080152,35.79752233175352,34.40898982984563,38.063684638541694,38.627209508477044,34.26619627442423,35.418916782701764,32.780168304051614,38.0264524638305,32.29194041407667,34.99595185469862,38.93526966456892,41.349685297479496,44.78969327475233,45.4464585135756,47.811486837293124,46.533527796574745,49.198680946029874,48.0222935506648,49.57962424086681,47.18893976923058,42.32448334262921,44.795929617834936,44.973298518856915,40.48382448105944,39.51109689215878,41.51990367174502,38.57465716417693,35.09974398417176,35.49969861190065,35.490111724507095,40.32598650832648,43.38908851113005,44.60304791268498,48.07635951062255,51.694460254192585,50.38657787668176,45.61556158367281,48.19533235670371,50.61644194165808,46.23615114608382,44.2490107346642,47.954761292906426,47.47026091748885,43.45372345832115,46.62243231177532,48.6347484454482,45.25143640762473,44.06879683187236,47.03980611409976,44.36373745909933,46.59229359819412,45.54344527971779,46.9817599572591,45.161492206163416,40.379704158801715,42.15505944630327,41.6537825203769,38.718053794017166,36.687443364536726,40.06040608128431,37.41089173858378,33.02843365098987,34.2396838526913,36.6831926705583,33.45287758465509,30.162017071745893,27.451824356748883,26.95462147344895,23.775941791914995,28.03223723470256,25.618365767126008,28.921388490948605,29.153392906631627,24.474146891934524,24.369776904923302,22.970535666821934,24.52017595338445,29.087213283394867,29.410425648821057,32.16971611631756,31.648187001405294,34.284160106550196,38.05619256070357,40.89719733865022,41.9255719531533,37.04183839947095,38.70642054044776,41.877767041775996,38.72771788666427,37.24465719514779,41.959804359910336,43.807800161610835,44.26783445874405,45.39146249674929,47.99865036051882],[33.49963774483256,31.82996474722283,30.894788216370433,29.128612177233617,31.619476446961954,34.96652182743091,36.45373624989969,41.08560726041616,40.76025168992662,40.82198613925239,43.9723069636566,47.27178729735047,45.07138655772013,42.86234021171637,47.889957063472146,48.98726763474599,45.63872130182464,48.741377943282046,48.043184681481975,50.66727491481696,52.27574062155895,54.98644069378982,54.53529291154777,51.78195545006123,50.36907568568777,47.56164621549569,47.06218539192154,44.73089392176065,48.00023660467871,49.652395129073575,53.58116608382909,53.98272054658746,58.0814857617248,60.62978023996885,57.55684522284688,54.43060542712992,53.78958424302561,51.43969309998253,49.380970935855004,53.2535435025691,49.43613764108124,52.115376163656784,55.914067027914264,54.003994287474,54.154394109328784,52.07770452281227,55.65006322322204,56.698426642524346,52.72201088760735,55.83115234508362,58.91956959417657,59.43015556208028,61.5180298805592,57.01328679913089,62.460380986648744,64.62373206474805,60.693267826287276,61.329831388759416,65.95970707635269,64.5607702408034,61.19907297186988,64.05844422753938,63.44793798813518,63.590963397644465,60.27853423425289,58.01970281755045,55.2408699634977,54.08873752486085,50.809537777386645,50.522067792506945,48.68883046292139,50.72257620601246,53.68040375294219,55.641357698562665,56.529282471751486,62.504968455700244,60.630932597693715,64.54994508769457,62.785529113741205,62.47781401575017,61.113432286788274,58.91638299386614,57.829665992836205,57.582373376465696,54.04165057475348,53.799898720798126,55.42089691758165,58.338706115464774,57.39778014781084,62.14766730289107,59.709616993853686,62.71881710874628,60.19821155384927,59.213444463248514,54.72277946726748,55.65453383014994,51.51145596761732,54.46689553786349,52.412032472336776,54.772661064182735,54.78146603984282,53.44010734525565,53.711544944569034,50.93901630787519,50.666093051210275,46.358790479937824,48.416239690306064,45.629007592144895,42.18751607904551,44.31039028337408,40.30524671454889,40.612158858275194,39.52872421842668,38.076843825198644,39.68968299924836,37.349025591745686,40.2851679665405,38.776235839193376,42.95382274949207,44.17834128719622,41.23563911847993,39.794878208525134,35.50054854312815,35.14748908940712,35.065085193861144,34.25243337685608,35.34834156372555,36.79446418754516,38.11666080942872,42.54084380568295,38.436490423796776,42.65035681861122,41.87742352022282,45.72621987175152,40.194172026530254,39.398117521636195,34.17488867016779,34.46386524195939,33.04904930970714,36.387676615475606,33.80023397580762,36.596333442192986,39.62972149641623,39.18767836711531,42.72108689901274,44.35692670051112,41.6349105987128,43.385856095835905,43.57420355677461,42.90233289560678,44.6903130887599,46.12917092817586,50.48569607979882,51.2532098698524,52.30460525462712,51.903374718923345,49.265609844276035,48.80181709940555,48.74908531059943,46.408768501253086,43.75515151218174,46.690967548200945,41.98946399465725,46.51251445606205,43.72851131550703,38.300945696430226,41.58896939006144,40.32129425224004,38.91112192898803,36.47164209003826,39.275195186705766,38.60475305523146,43.65716021456335,45.87674788165744,48.6625033186974,50.850259385278775,51.30596849431192,55.72448939626103,53.59767699643272,53.504594854879045,49.92520541956299,47.023206849421214,48.068800597318116,48.20262205686986,45.25962666076834,48.89667920378228,49.15259476370327,51.101241015506226,46.442272638055,47.46808032308962,45.26670441216654,46.00548995920897,43.38213641819997,41.69720312779976,41.91280132508993,40.80335402038507,37.50727581137674,40.006001055721995,37.7274370842042,39.90226147019025,41.50495267588079,43.06830788657052,39.54999632296732,37.48574936810316,41.27860362568459,39.98540618143357,34.03876874301284,37.41215953838126,42.33081034023762,37.40049912492621,35.87526837027155,39.391462219723905,39.79297987434223,35.19112390567065,36.23964689289267,33.904532454874456,39.09152786956012,33.77010162573694,36.766850660905554,40.56438972207662,43.28767347773142,46.430064415377146,47.49649030855523,50.078225336362465,49.095629535956554,51.96337324553328,50.94092227922485,52.70045267670834,50.145240396760975,45.306165189051555,48.03685219771819,48.30882115615282,43.707282126579,42.87474157378683,45.14093026029482,42.116747593527094,38.496784247622884,39.23747192577196,38.8078443811402,43.770596697414945,46.75687047216624,47.627050211982954,51.128788398316615,54.52777429357693,53.26316481191601,48.504324102348505,50.75319619535187,53.09852231079234,48.72525772941707,46.570666226733586,50.00968039355278,49.363664968847544,45.29815980831083,48.43488916355351,50.204754341955,46.600005321890016,45.476954526129944,48.50671577099021,46.03321030620061,48.568771553605856,47.83436770920016,49.40050220048388,47.221108671256204,42.52228491701405,44.705202140952686,44.029464563679916,40.92093042018177,39.32143280605788,42.78870510271971,39.797385972628,35.50489916363462,37.20394262263775,39.502710991459566,35.95355838747862,32.71172504073096,29.773918310480152,29.120576018720616,25.619509361068875,29.471940387630788,27.107290866843133,30.7092473295972,30.658556583371052,25.905076343581815,26.388641897534264,25.310725318531052,27.3053813229157,31.823815318014702,32.108271374354274,35.228758067601014,34.48149768296407,36.51700773647487,40.440838776377326,43.10666817385111,44.00799437294237,39.071693349832465,40.37233342103936,43.428221926404966,40.457694294342765,38.43010565322298,43.06357878167122,45.055898924291576,45.56818083809567,46.64541460980582,49.24530965690938],[35.643759752394146,34.05056749497445,33.165745979129085,32.1986931460248,34.448722166715946,38.275951410604954,40.05519347127851,44.64046774263803,44.72699166787501,45.06089491290776,48.336424889116195,51.431760495793924,49.27178968195175,47.37309758693344,52.41869588754627,53.34224409838707,50.02261019799155,53.22535675003828,52.60265861659835,54.98582272892876,56.656856412477914,59.14921823087695,58.79790080590888,55.97358665487713,54.466513840629894,51.860337086159916,51.204142329024265,48.97844851935153,52.2388756698102,53.77034135370846,58.03702952845172,58.115653264789565,62.30691360549082,64.92576342824057,61.704975016175666,58.63386058360256,57.7135494142128,55.376679817358344,53.14421975533876,56.65229852386648,53.07900303954664,56.05278003170933,59.690000398377066,57.63790479000671,57.81576524787245,55.54547013363291,59.03552932890353,60.14502411188974,55.975963320029464,58.795161996263005,62.039938743135565,62.41536095969568,64.69372850695167,60.3304122349254,65.84894677723058,68.0541026481015,64.28768116636456,65.09129219870424,69.68896207594207,68.25460889641525,65.1571699184632,68.23034878401548,67.71247943319368,68.00101906355346,64.53258922803138,62.25368277446,59.77491809853272,58.63302616550724,55.556398091370944,55.312364248549,53.59378011769979,55.76270461725926,58.587622136090964,60.474860684365616,61.20141861768655,67.14944167506634,65.04201641059214,68.92434367944276,66.9667969764688,66.46824153213409,64.90848725756025,62.46426537533572,61.30419233680345,60.768801244151476,57.28287862299101,57.37300229895432,59.25536227656206,62.19471793536948,61.54962085027232,66.3732464382228,64.14243792251852,67.32240479764728,64.81100775909381,63.73263257030731,59.21580923693096,60.266333480378904,56.09266482850283,58.7559721378334,56.53511227602166,58.60735923639266,58.63359000737992,56.87050473911956,57.22198653429476,54.07079061814996,53.45181786491517,49.11140514056198,50.751512279634255,47.66798943770404,44.281909869270876,46.78949309612059,43.024969692733485,43.732763945569566,43.04331810566766,41.77846603478206,43.82536509255367,41.562656025606586,44.64164953780528,43.28632967798068,47.585956769264904,48.777300229321334,45.94666514343272,44.4187990920406,40.06229893707256,39.49454984888979,39.1574526367842,37.92010672458108,38.5590710348854,39.828173672872055,40.74125102597831,44.94763519837223,40.359925615325665,44.298301852977104,43.63757760267934,47.78232108593232,42.44732863777605,42.163707397260865,36.7069140697665,37.52912794722412,36.51302959984786,40.00919874629582,37.76425568512849,40.530909596155624,43.74476969913144,43.21641035374044,46.64616172526696,48.30735221868808,45.56836060750935,47.25761181273092,47.179317373187224,46.595734730847184,48.021586025973605,49.67358390027188,53.76107920761689,54.63160774483806,55.985669253605415,55.512377431534716,53.02307619917133,52.242565431830585,52.46213449612821,49.69597146819882,47.09191042129197,50.3408676516814,45.53912107087241,49.959980594457875,46.97924571851334,41.453334303993536,44.321945677339585,42.86170026724317,41.15128175527019,39.07071371367413,41.82648301733455,41.63096465339651,46.696942366923835,48.97246757070046,51.910110452890706,54.03126902574699,54.854609747399984,58.97622865202389,56.824692436296765,56.46675298622843,52.834677133342275,49.80878252075965,50.4375077390413,50.39126011929702,47.66553134240163,51.63439082935512,52.26527355821429,53.94044362479215,49.29170748289047,49.868633358766004,47.36681015758561,48.09662181228012,45.120566807950325,43.35894747563612,43.312969999561105,41.80392701121273,38.841989662670706,41.10238052895129,38.776006589418,41.391790773557496,42.46757960455517,44.47051678343186,41.24579400230874,38.59769860829835,42.242531486803166,41.48821941652496,35.43164297259681,38.27188873563247,43.42520117248539,38.93516709242608,36.999844940568245,40.30337807772709,41.27915516317155,36.68704013954358,37.07392725551159,34.59114638348875,39.36931430337358,33.47852494753448,36.82255636550677,40.4440041756013,42.710679741355904,45.569518851247494,46.59235867084807,49.60015125098083,48.79554035109173,51.778034301574685,51.21664645156185,52.60300383130906,49.709097369824015,45.368054762482636,48.21245975313828,47.914863038329926,43.33144897384332,42.97282168871446,45.18207273078466,41.56490012767795,38.17568964289517,39.628219592401614,39.35046422480138,44.74919743254249,47.46172613647747,48.36125457485622,52.130208159620565,55.444202649889505,54.64392236429491,49.78548336772688,51.778519539646744,54.501192911707996,50.40103257404432,47.88829824636251,51.36447522719603,51.00047480987569,46.80099816448666,49.48180294611267,51.457849704290275,48.13708593078223,46.493482770966644,49.214569039519446,46.58554069368789,49.03635833711199,48.50974895356014,49.632017493210725,47.25966381138173,42.98309987823197,44.958551986283,43.781123727435606,40.80570326612906,39.47680455627498,42.290336182324374,38.96823534274665,35.21867723024137,36.9140781527554,38.48382733630877,34.736179785430096,31.91794709703203,29.558564154231355,27.94144661688155,24.94483781218002,28.878889875515654,27.48358095383313,31.429141106076187,32.13147212033156,27.245062626284927,27.573556593412704,25.891957679549378,28.144500434431126,32.63347444105707,33.83714094269563,36.91293584384262,36.84738893984816,38.678179806448426,42.692994389194894,45.157613600270814,46.606500856769586,41.6662536180734,42.6202553629912,45.99804230415451,43.49278704264296,41.305834103498405,45.79978350852903,48.02837652399934,48.79972315924461,50.04684383583833,52.67237926280998],[32.42290163172101,30.57498755579469,29.265123301745955,28.562870586827557,30.38053595555197,34.59163368962121,36.37208446432762,40.91308041893311,41.355516628295284,41.7825237494424,45.195493230819075,48.10419713135524,45.85555462851136,44.305778077539856,49.32522879873469,50.03204498510441,46.749044487970004,50.07446827503118,49.656317387756474,51.776208699262135,53.63545212104074,55.99270666066076,55.868657671785925,53.12658966562108,51.36313773271192,48.832305292009075,47.89644973882999,45.668592531825574,48.84169984373705,50.219218289878356,54.80772516448044,54.565058747162055,58.83914045239929,61.50553974810466,58.157615744974926,55.170397003447235,53.99418960372352,51.76144078906922,49.45352532369882,52.789034265288194,49.48693966941411,52.64178261456955,56.18583792986752,54.18208886547164,54.56342246415125,52.305460477424184,55.814664227395376,56.727226344761505,52.43682677575522,55.174670944579674,58.33379029001427,58.54714522889955,60.8539260668712,56.50835551219624,61.96583525837038,64.32865206574951,60.71453313831477,61.46746680985731,66.07006661367384,64.79198872396341,61.82231296535293,64.98913128714882,64.4423784179172,65.00226935248406,61.44654396927088,59.01634507480776,56.84883930959883,55.59968641661244,52.8067155251678,52.54393989479886,51.034102432337434,53.453212263467314,56.000293802852916,57.84664036444891,58.27092904441813,64.19680617349287,61.84701488009016,65.63684026290964,63.51615243720395,62.913104066267415,61.14223254208909,58.57497974095565,57.28712447192306,56.6268491313291,53.225588303653176,53.462443104676886,55.56728709003723,58.43761968472846,58.07746118776361,62.9041775036671,60.88987882264528,64.25743319865866,61.7492193424194,60.56612410753451,56.043738467538766,57.27333648589075,53.09737562448894,55.41105791995177,53.078477302664474,54.990373788007126,54.89085445605683,52.875328002546915,53.20828217674875,49.86558369193536,49.06430094484909,44.72789570616257,46.22001956945256,43.05178331207478,39.716642724107274,42.349892172166214,38.72272540936706,39.55309407438011,39.13467294093663,37.95296619674007,40.34106682347978,38.17217360484415,41.4047096669763,40.36942774604648,44.797487321607015,45.806195005614754,43.11833472343554,41.45947646685383,37.06387409822123,36.25103322146021,35.71456461091177,34.09614051344257,34.51487403579083,35.612307325714625,36.334472883771205,40.44158138253101,35.72699660476406,39.600830461807035,39.00505586003105,43.19225446238084,37.94558245454405,37.82711108733883,32.28631736799611,33.37493935229894,32.63237354468872,36.2308127245423,34.40390107870964,37.34431442502067,40.53480767928445,39.79435367167162,43.16735588905706,44.70748241587024,41.933819781515226,43.52654912305175,43.258069800246304,42.78939322122789,44.02317250923581,45.912846671380194,49.845440277138074,50.98127603568781,52.39334398578222,51.73481640148252,49.28429437864822,48.267933803446816,48.61010222323434,45.57193009433062,43.00973350351088,46.468779915265415,41.69309000730401,46.073960051764544,43.156227621660946,37.64745124746044,40.32597436347272,39.01926714268539,37.057877189622864,34.994625225264166,37.62013330720081,37.55160379554912,42.60530411721835,44.82101061921837,47.79473175366517,49.837305678814445,50.86660497482963,54.80333725356594,52.68236799842481,52.18416156906808,48.605675677979015,45.450797985989745,45.9806857561356,45.953616913589784,43.31766964641555,47.48103045210406,48.32482438992869,49.99506428787326,45.524821052690825,45.8455925497848,43.295990776775916,43.82988519616336,40.749521392321576,38.863842404367375,38.705323858327766,37.11576712513271,34.13147760539897,36.338981043166186,34.021840658641466,36.71250497270231,37.79081782258177,39.889455414006456,36.70858052862296,34.032230434838034,37.75647239481152,37.14388434182491,31.104449934975726,33.971017453196275,39.236224548196695,34.93155269643563,33.05990986464043,36.457588326030915,37.553482993447666,33.12243986537018,33.5800353394856,30.876833715289784,35.735051764659126,29.601764609394113,32.734983681055915,36.475347353440426,38.63501718898075,41.74734490593422,42.53848056072563,45.353223097018095,44.37955366647442,47.270935279951445,46.59994486756384,47.97266275741781,45.172910803479894,40.743202455519686,43.51324216107549,43.27775090610295,38.703148752003564,38.25172171877672,40.453138453186284,36.92868242487448,33.494471856979345,34.860001678968786,34.59931758773724,39.98784358690796,42.70841848119109,43.686211163833285,47.44956585204589,50.834881758653175,50.034995345629994,45.164480103647016,47.272595836787765,50.041520088865525,45.958635439520265,43.49299966770017,47.10532599986566,46.843351143375216,42.659624292219405,45.34786438319343,47.47196783800857,44.29834717046721,42.6032026534151,45.29880931463412,42.54636855830003,44.82761356596284,44.12557554557417,45.216633392516314,43.03997313871107,38.67355408912516,40.47345990326392,39.428521299860755,36.51021579399848,34.95084106475117,37.823485492076095,34.69749763642382,30.793398382490885,32.31410648683932,34.08507395122679,30.4891276617899,27.535319191200852,25.173385657765817,23.799432293701255,20.8500337681538,25.04851540490837,23.513527463265135,27.280758204895363,28.17940374860044,23.32681264454048,23.306685341818664,21.440762242180963,23.523510433792914,28.031351976640064,29.331479108801624,32.29151464011053,32.4284537900034,34.422517501639135,38.38411485442195,40.88814795481279,42.49821428473865,37.58971517039831,38.66280828266507,42.15899419599855,39.67167050585713,37.758783893673176,42.264913276133036,44.453347927032,45.26369286156706,46.600346084695985,49.23512382623502],[29.16851316079543,27.430322319617314,26.450730451773005,25.4279085358256,27.777568654755914,31.542275845647247,33.44500632794218,38.00213944734188,38.19129229476483,38.75837833334526,42.075023041241224,45.017954599282795,43.06204883325649,41.34196356725176,46.435204545860095,47.31514673360752,44.21758071644333,47.67599524347555,47.5039409164454,49.8031049341336,51.814260057762525,54.43068818543872,54.36788190650981,51.797092789897405,49.948930566077195,47.14179985341851,46.13300305246313,43.622208306386646,46.61999994873542,47.849316183906694,52.207133833105914,52.008598272699075,56.17989009967308,58.99978726061062,55.81293278238629,52.94021788997265,51.8329540208132,49.906498740006455,47.81303089897994,51.524508942302894,48.222424274899055,51.14514057499165,54.85273007555021,53.103934892397035,53.63841809142584,51.617303026285555,55.23619050395264,55.92822263953682,51.746224327811355,54.74589636089714,57.65806395874436,57.85436371399117,59.968485576232574,55.44229201446251,60.722757463512764,63.25266908385341,59.58199341380331,60.010707908127486,64.69114806238636,63.651856042374014,60.418589887002945,63.33985505047288,62.56455122625465,63.19230113454057,59.82099679059819,57.23202865741843,54.83659009405322,53.367261277843276,50.463515892307086,49.93218959960009,48.42809104815969,50.77038985395591,53.35407753763638,55.46130933031169,55.82849756342099,61.85975019260056,59.725697654593425,63.429989196587044,61.488212224564386,61.13623216783987,59.3418834925756,57.02369466317596,55.52384095025373,55.165736034267724,51.85741901180096,51.758422336521136,53.823556138577615,56.46091301604084,56.03901942029651,60.644468224116146,58.50195300790229,61.7504961301115,59.09420364278953,57.807239323691405,53.22468704572431,54.268067471130664,50.03855149169063,52.51836161952349,50.159766527538295,52.041298479386874,52.25476757568792,50.359837816531055,50.94281559984198,47.70133187873145,47.365091660531704,42.90974902257754,44.577687580657205,41.66103085252725,38.084036473442126,40.43201070807795,36.5394225483881,37.40918519956561,36.607317569097944,35.61035657000154,37.78654522354952,35.79283693605933,39.10528586707508,38.30347772688216,42.659932263373435,43.40261562277977,40.57312235127453,38.75322190711457,34.49696036377068,33.57812440970763,32.91085817328022,31.767593661663426,32.05571456370288,33.57836379861733,34.56920063647698,38.97120600756299,34.57612295372352,38.645573720868235,38.29356365776573,42.20037436316495,36.9398144932206,36.39787702081275,30.850728927325317,31.829742681798226,30.96038881105661,34.53998677593328,32.767200967242715,36.0270796067214,38.91012558699048,37.99840319204127,41.53116374227733,42.770421901437466,39.88591036606025,41.25346049228515,40.981413392868056,40.18363741915094,41.46878738118359,43.028652845053706,47.067617344500505,47.88724601146053,49.3187911285319,48.900980645821484,46.52544505563153,45.73749965527237,46.15382896885402,43.43033256938224,41.16349952824971,44.58393817397198,40.09248808131125,44.63721447331213,42.12431853387385,36.741431682806,39.722004059993544,38.79716984680789,36.858597207176096,34.40877585469108,36.90818152196488,36.38058528366442,41.43577237793072,43.4218226071143,46.187373014272445,48.07329695857596,48.82828230777136,52.95138835524937,51.08565732788988,50.70537111922765,47.388370227415834,43.99334179457636,45.0173630902906,45.29454062378536,42.563115350374446,46.67229321011071,47.346743829109855,49.36706415301673,45.067710382236434,45.59160429549874,43.270083831349595,43.56957846373385,40.66996876184809,38.636454847273434,38.483995971570195,37.01950012797107,33.599054290457495,35.73240218784966,33.14288153691999,35.40142775312112,36.607633321692,38.28966054170631,34.93775613947133,32.502448119743235,36.16297534535713,35.08893817681598,29.055769102032823,32.161365909876004,37.18191067126411,32.46786173959806,30.72743742045824,34.17638158570669,34.88952833482075,30.32447748231158,31.08707202886297,28.608366943248026,33.696593342201425,28.166474397887722,31.23036559424485,35.00120886112241,37.665585418860374,40.79849598787843,41.87707287038031,44.52186768269335,43.63345932507361,46.59307142078983,45.74172031523445,47.525188406445174,44.82880935438081,40.08671799646298,42.99976050200802,43.24758790539114,38.57503371293605,37.920104873423675,40.41286756136678,37.25955880887337,33.51885761439598,34.731495758649935,33.941372408575766,39.1843293909971,41.98331344666543,42.63803808653116,46.273161278128654,49.528003619170875,48.52166156765984,43.70871239773351,45.69928047170171,48.222366802427324,44.01187106204921,41.599673342299084,45.02341663995566,44.52659983175796,40.37035395192942,43.27594703156124,45.157950495035344,41.72097983282383,40.318754197025925,43.22104502003981,40.66864436885687,43.18481264298766,42.56271844915489,44.011316152076105,41.71943682149905,37.140179566663946,39.352733947825236,38.51968448357041,35.395312966336256,33.96612174459622,37.36540546319732,34.24415329339773,30.014235786974073,31.92234746730383,34.13036581350428,30.46869652986846,27.229215905296147,24.25829964777449,23.56368438351376,19.993599579548285,23.830746684729924,21.62899851427611,25.359108886572482,25.66895633833334,20.825214654192386,21.25334802812798,19.991468038576983,22.25123073573442,26.722720622881845,27.494219062398866,30.777395876431935,30.450451936775746,32.070749998076664,36.10928910807839,38.57593239872737,39.905537374199085,34.95267872851844,35.9294374591793,39.25253706994022,36.72665251788147,34.554453550987276,39.07415962152406,41.27252765257515,42.049894449609425,43.33392488985792,45.97562747227729],[29.544931517731197,28.228174364884282,27.998984412002233,27.261226985858404,30.181084289740888,33.56298275227201,35.8278049697703,40.30503152384041,40.357826460266324,41.25272809488685,44.4421219484737,47.326273469939714,45.80411847264515,43.9690213192885,49.11933646545032,50.16339379481569,47.29740396813882,50.87690635310727,50.90513550388306,53.33531437588095,55.43460938479891,58.20857792496347,58.161828660864124,55.67356112764543,53.815044024523885,50.859750054053336,49.82091563264437,47.125974389466734,49.95944329650441,51.009769369214716,55.179359799204434,54.944823411537186,59.00433844297814,62.00806171345476,58.965243373786286,56.2322225965763,55.11827309274755,53.48207227512802,51.525345297800115,55.39509592756352,52.16027289217023,54.9674387814321,58.74327190977215,57.12416394372813,57.72086418881813,55.78605425018357,59.4325098533638,60.05439893503464,55.90957924352027,58.9650130492409,61.78729513074204,61.94463034873983,63.98982310925504,59.406593697901506,64.5674410981028,67.21730573633928,63.55245788883851,63.80744465761079,68.52060941238561,67.61871854406299,64.26897982983853,67.0451222863417,66.12214663912854,66.78396796178981,63.5447966046725,60.868740716907155,58.30988566528821,56.6861465780342,53.67810066979986,52.911500319418415,51.39135348613889,53.59730246658864,56.26293166240997,58.60488861375561,58.95533267975698,65.0562168369076,63.11376193812168,66.73149020086224,64.922660016081,64.7408622839289,62.88459741537505,60.7034584723403,58.99626451288796,58.78522368019605,55.592840319609316,55.34299979432024,57.445932724875725,59.8785328850417,59.47965135934321,63.88082006748986,61.659703902631854,64.79502732489351,61.99711871929337,60.58479101312333,55.94768046474287,56.77261785346571,52.48643671588288,55.09278430610655,52.64690275839379,54.31678178584583,54.97010661683696,52.99882210323625,53.93569447803246,50.607707389193784,50.5736194754888,46.004417938226624,47.54627200880204,44.708871447855394,40.94061270608643,43.23186510590885,39.24767132833377,40.43871307497272,39.427216196550646,38.75465845627572,40.838789403018204,39.061587261629974,42.43786373133704,41.81355987019859,46.07372816607648,46.620827870372985,43.67222229840874,41.713407784472174,37.62930469385265,36.59512905199758,35.71592380539811,34.963552293304765,34.845082336769686,36.72929757692333,37.73021745157014,42.23934913038152,37.86739835279047,41.87252008389696,41.842946038832295,45.66781279905772,40.57085352062442,39.96020588701129,34.33886002244802,35.49778402554549,34.69385661021854,38.26890815497259,36.59319329660396,40.002554854180325,42.71655588541975,41.7019609286565,45.30739051682962,46.32167426803825,43.35963086666492,44.481698922135664,44.094155461263846,42.96097495967815,44.0773304299727,45.29836835714017,49.25625992298363,49.63613744052284,51.320328731601485,51.22937573372157,49.07343149683919,48.40430677943542,49.06631836362932,46.498146158948444,44.588696912508574,48.07921241742743,43.82311660768129,48.432188623991486,46.1462361615806,40.84016286960119,43.85074732921968,43.06102484446081,41.04727271756483,38.53530192229713,40.922137162066186,40.27791669952536,45.302874493073276,47.118270003356,49.7542374292374,51.44518843070739,52.103210030050896,56.24101968930127,54.62238432414867,54.218399778337066,51.12430788668584,47.47253353341102,48.691269053575525,49.1128652732245,46.4405952291387,50.64361970513296,51.34000784637282,53.47193304862043,49.279452090041346,49.769816448302876,47.464483126867805,47.62715070582257,44.68063156590068,42.51312619291432,42.195744442019965,40.552452762129825,37.039027822803845,38.88030384003752,35.98465574859252,38.1359335112516,38.95480094369439,40.53078166088202,37.29516818366297,34.606167116846386,37.950271107033004,36.82295526233786,30.78553832685905,33.54285602200754,38.38277014661021,33.59699305696383,31.577221981051277,34.75131340356604,35.516597497087425,30.771617389374622,31.147735917506076,28.965744246207926,33.77243112161977,28.569500167503957,32.01174425921422,35.52332911038383,38.35285089391196,41.0627408502796,42.56271852246428,45.53082849036215,45.01867055164439,48.20679503109042,47.66761020536636,49.550101450372885,46.597848686953895,42.07109535202733,45.27818316712463,45.47258539568027,40.72500647245714,40.366943507700476,43.11499819979373,39.74514237207488,35.94052290689127,37.72527514569599,36.51573058619268,41.981646640891846,44.57665691030201,44.854263969783524,48.57954368357265,51.544253544553754,50.75800558805154,45.95975248456555,47.48612279445959,50.04930373588546,45.98545238285367,43.28104606221561,46.40896180388828,45.86024400563248,41.63847397146649,44.309141413242415,46.005880685274064,42.48587574952591,40.95144217429217,43.77529149122027,41.399303125793594,44.18465382970757,43.970456928218134,45.395341488607244,42.68032819333949,38.373321105608746,40.93111429370296,39.765202192903395,36.52973848009649,35.671160879800375,38.941833105172925,35.397412523703174,31.479487910763318,33.89299618521745,35.7242669497928,31.713388683704895,28.698663361751088,25.703137041748978,24.600350145496236,20.900832818501037,24.18768148228752,22.420716359845578,26.501226415770944,26.797096869626607,21.955783343435872,22.93934418470003,21.853711059301933,24.595077173846143,28.884856569803116,29.938304595559796,33.51943452257894,33.238262321982326,34.1188575438885,38.29372165355025,40.46374544580436,41.88685704371031,36.93682028608939,37.372901889379555,40.68686164284416,38.59124147442837,35.825378416555374,40.146922375563996,42.58500932740886,43.533253811294955,44.86788088734864,47.49300941218842],[30.498177883166147,28.947415676122542,28.16115229569834,28.309206416364837,30.37336294453357,34.59301290370049,36.92284973378976,41.31006112874162,42.030205085694014,43.039763923946005,46.45534167049641,49.059337898685904,47.29967048225474,46.00941610870565,51.08982811347154,51.76212463994699,48.826020571087305,52.45854855757082,52.524668077118775,54.51775663599738,56.694999815151796,59.090643440601745,59.229549918633445,56.66855005533519,54.626223881270846,52.002720225417576,50.71840217488339,48.254980495340675,51.117689592802556,52.075623735808534,56.80750175121818,56.127951593271256,60.35886856179701,63.333275505931134,60.0167835482804,57.31183205414073,55.81196705060123,54.081533886253325,51.85240820729778,55.16031529303671,52.27961329019054,55.5068864886294,59.02170354255284,57.21712764972571,57.89275478808256,55.73578097518966,59.273583660797925,59.90253285351992,55.51369748865165,58.194351469018244,61.166640558953056,61.13071256468364,63.40997840912863,59.034730013483646,64.27697721721195,66.96466242681875,63.54808904481116,64.04458315974111,68.68843510059858,67.74889399253712,64.80103959230091,67.90471859345806,67.14957606089914,68.05388644607888,64.55599707660816,61.85542309990874,59.83373830229958,58.273603619333514,55.657571888378385,55.07346228924442,53.7661965586345,56.27290442110594,58.63776522814018,60.740293235380314,60.81581892105229,66.81305733620528,64.42951100198519,68.0057626019355,65.86091747032445,65.34379255069354,63.23629594589035,60.68201495235344,58.96324673142837,58.31822513791041,55.17908158731816,55.42149623429786,57.85794084747654,60.381548153305,60.40041740872205,64.9731946982307,63.11239611073429,66.55381135934263,63.860579292128044,62.38873370917226,57.78014197982545,58.92562468484045,54.667504441045665,56.73467943750689,54.136896273794505,55.54492160006907,55.90325184529071,53.43086953079913,54.23926140754696,50.49627814163685,49.846086432389825,45.34641063301814,46.41787349422561,43.2012310755285,39.65557541349464,42.43438025195444,38.877147346323724,40.36936260196161,40.02740098154605,39.41203140580698,42.11054734110006,40.342293879636706,43.8477444610474,43.393659890672005,47.848518034608105,48.40925894538396,45.720370424110065,43.72907242757478,39.504755393590955,38.249800462982634,37.17703381976736,35.615483091413196,35.15336843673331,36.53964220310995,36.990985593495324,41.10123677053825,36.18878015626893,39.84075453662071,39.81265245698245,43.97390078494316,39.10843404166241,39.16471472294092,33.38026616494244,35.11065407372081,34.81177647014256,38.53879534696926,37.3452638814202,40.65954480594324,43.61315613166092,42.50090489213485,45.901996332556884,47.01072068945174,44.09004792195659,45.237478125853244,44.56118941085381,43.77376718681917,44.50285167999601,46.236322976621274,49.84248103074592,50.704863275779836,52.57684930439299,52.13949783711396,50.051010193074255,48.8800147135733,49.739740830281974,46.539304279603,44.52505082792542,48.36061488837175,43.92292062272435,48.33054835546633,45.769851087821124,40.38707181727126,42.838073610168095,41.86394219738211,39.4897540584473,37.41666001493623,39.719401175782856,39.690697927190485,44.681808889081786,46.6003041750276,49.45615716062231,51.1322633784146,52.31607578138796,56.02108216267411,54.26846851729834,53.53782299405755,50.31993025595553,46.644769443547574,47.264858061907304,47.43015456141259,45.025149690317114,49.57937334640847,50.74058770595492,52.516635876994656,48.393362046941625,48.32224867408561,45.69796080923485,45.82065543077345,42.50977382662757,40.28630952060387,39.71377476859611,37.69695292365021,34.621214377717884,36.27980119423391,33.50830487306536,36.217272788648664,36.617473522579814,38.77876123212982,35.87806414679129,32.6657340201332,35.99787213952664,35.60783764497117,29.54269960104718,31.816831562705765,37.03238970888758,32.9562871386127,30.660363833869145,33.735288951833404,35.20741465691666,30.72732164108125,30.548592864924238,27.93675787189073,32.38228934358377,26.213289697455377,29.749373286760363,33.22180865808782,35.35353827625279,38.06896034620205,39.18099893341963,42.377279963964945,41.79574513190797,44.94555532225458,44.72149174727402,46.12175597947807,42.97079578308252,38.87881289085368,42.02197788495747,41.63622956208666,36.96667967211725,36.96683601260248,39.51994877381226,35.65272537043284,32.13153413861278,34.41641980019869,33.58169373115101,39.37830470166425,41.74451418375432,42.2729835138458,46.22821426178196,49.26214313292709,48.888180520526696,43.996684144019184,45.5178735038669,48.493910788694386,44.69948272831711,41.78625131913784,45.1569637073291,45.012648553896284,40.71805339851411,42.97158234594413,45.068868546606225,42.0227080754519,39.945284506972854,42.41737291661155,39.715348362399446,42.15519312221071,41.88068107724243,42.782205980453845,40.172759535452144,36.2006717264415,38.234139080834524,36.722452292601986,33.74473408070707,32.813589696128254,35.39336792860292,31.773434113990035,28.293536213840714,30.367650974674316,31.615860406721033,27.610344864265198,24.93770013024273,22.684389784829552,20.694071218546362,17.75465819164173,21.526948006059722,20.75211389342651,24.911598020994127,26.236428299371063,21.385669039136783,21.68018026028989,19.688339669173967,22.369790322171305,26.62900279092137,28.65505079888226,31.9133087396368,32.48011742459444,33.57916864288693,37.69482376050118,39.78688704921199,41.839197437208846,36.96195842120921,37.35477291992874,41.05106712210068,39.2666252902827,36.83671518586135,41.059672599846614,43.566721342527146,44.71066714707412,46.21775360530641,48.8659341836702],[27.98300576269158,26.07883609878307,24.7072441273638,24.768398663944353,26.392190688171876,30.898385172362808,33.04870571008057,37.43908841649194,38.34468938994279,39.251219601148264,42.758755895259064,45.300152105580565,43.34206913597014,42.25074395939038,47.27596590971313,47.79612476203875,44.81631867245612,48.45755086432798,48.58010140253491,50.41135661720361,52.66027809408625,54.96707407575899,55.220430915557074,52.713997563635004,50.5422208393016,47.9747807783237,46.55833917697719,44.13026753298304,46.97529326083572,47.91252950623323,52.81980597388988,52.02456903251868,56.31405352756954,59.23979264634639,55.83767621474243,53.13486157099451,51.542763398934575,49.79151584667813,47.51857913815672,50.75114388359647,47.97590037479626,51.27241978233997,54.73904788389319,52.9653533961599,53.744579783633256,51.621683802152795,55.17025753903271,55.681737199211,51.261350730983146,53.94446871061576,56.847124977850314,56.752559930584944,59.02164935568717,54.639955019463116,59.85855963997649,62.593119003296685,59.233796030230664,59.708052610033185,64.34791328261262,63.473912149863914,60.58002801184504,63.726665777494645,62.97838185002038,64.00266072559744,60.456583377302934,57.69921866359232,55.857822496351524,54.2794607924693,51.84033106497778,51.30533339706296,50.11414517458367,52.77441136894656,54.96520915796946,56.978327335002625,56.906667778275924,62.861425989740745,60.32953774151693,63.87607975919914,61.639255620731085,61.05198000647607,58.88179388426532,56.27064538691748,54.553920222593824,53.8559367807852,50.72404641221426,51.022741751107624,53.525320539270425,56.058177613324204,56.17843635226414,60.791882249990834,59.04453789330905,62.59031393460956,59.94706529406825,58.47506569109497,53.895300571646715,55.19190552338764,50.97087595936195,52.83779516416316,50.24050145457071,51.68436840502517,51.81516114745818,49.310152834885635,49.972528764878966,46.226959342288666,45.449260065755496,40.98697190865262,42.11608171042932,38.88396488469816,35.400836203942056,38.192625014828025,34.68617339961348,36.06731039061714,35.88274961359615,35.189040590598154,38.04498459195717,36.2715066400342,39.81448954514017,39.49612431954565,44.01000440579818,44.50963114594381,41.93862649219471,39.93060176005393,35.67315518416643,34.33301330879398,33.238536833737214,31.395258818650998,30.991228867997034,32.194202317359284,32.607079084734636,36.68423418514313,31.787753726670736,35.50850089761322,35.399561296588004,39.54192444120041,34.62694813979446,34.687894187100845,28.90617749777736,30.662872369524457,30.458036823431296,34.20881896047341,33.22191820144549,36.60239219363112,39.52514442705997,38.318912629123226,41.67106583935771,42.751752532600506,39.84156651279223,41.005830009370754,40.29638249253379,39.66788498165877,40.407455099796735,42.357266134098715,45.957658862609996,47.11351239684706,48.86344291947745,48.21482728673467,46.04420136323488,44.758434897843834,45.55498968931566,42.228808763080885,40.124237664663596,44.00248988550212,39.54832075633816,43.92567885012332,41.39840895952777,36.049919147418485,38.455222367050204,37.60452805503467,35.15598646111614,33.02417021103858,35.26941769581169,35.24209719781689,40.222428894814605,42.132932436162804,45.01116724580772,46.71139208077662,47.969068893058655,51.62530705695824,49.820800697826094,49.074223888746204,45.83644675959046,42.18013121967152,42.78623348203652,42.97049446173916,40.55127215102418,45.12315398468749,46.323075559888345,48.131397825842164,44.102945608777084,43.98374546415636,41.40111727231167,41.432845082875694,38.15993375136084,35.90584419690471,35.37363552840767,33.46093590776171,30.2843859863451,32.069457675290714,29.395166213953903,32.07549776480862,32.76686302979542,34.90956011162033,31.898267170837503,28.903484692819763,32.47018009968822,32.03006854393706,25.972628362353078,28.572255841037602,33.88525463059258,29.80987016450956,27.775563044945223,31.09956232932708,32.45804623641434,28.144142649968106,28.365085295720526,25.526013974610883,30.28612602273972,24.006540572303646,27.136846462028295,30.868101372798446,33.03358215195339,36.18161191661764,37.00191663523591,39.809019574813156,38.91144528128724,41.884239496086956,41.32318998723187,42.80465952058966,39.9118952408242,35.49462924161399,38.46239353292019,38.327513055103644,33.66151313747979,33.332167551070384,35.82273124505823,32.28802498613537,28.656574197241486,30.46121854081562,29.718316603686883,35.33009044915866,37.867853789205434,38.57109546864323,42.42539071919561,45.64509280934119,45.049469529129055,40.157404943999005,42.00251887752833,44.88955884690839,40.96029634331169,38.278491401476934,41.846696514951304,41.703322899264805,37.47017699649061,39.96108289835699,42.16527329405291,39.15071194564341,37.24481525367732,39.834681974625994,37.02770083660922,39.29050848523949,38.6808866008696,39.71912144065703,37.45111146730978,33.159602399864426,35.025067450344764,33.89018762961622,30.935625178511255,29.533506158322343,32.444723780466475,29.225257394429153,25.29954569402361,27.082201113791207,28.886355678560253,25.184608016139077,22.137469903132427,19.63799760362638,18.369296287896667,15.27749629107719,19.472178806625386,18.042736421493885,21.85518569394828,23.109512061256723,18.291117022244933,18.156269394978633,16.10734080878548,18.459326483384178,22.859433009508404,24.608089681507494,27.727533682491632,28.244581661988313,29.76013463751419,33.783138552611554,36.06615879212506,38.05644264128599,33.184937436648745,33.94006192404116,37.64118239788982,35.59887317507974,33.59831681331482,37.93552180376632,40.264785791232114,41.310260555654935,42.794299583895054,45.46230946340465],[23.41970744899297,21.96178432338266,21.671091195500306,21.372895492180913,24.284330179672974,27.778236950098396,30.350217091633198,34.70721065633276,35.11572925346601,36.433625739109324,39.7033202719104,42.26348604508923,41.013893714459144,39.58554354592597,44.736709873556975,45.62062390042988,43.05969241801017,46.93799201124244,47.51404744463892,49.69292437429266,52.17914088095848,54.94893135350016,55.27093258582494,53.05502923549362,50.79891184820082,47.759849785886345,46.26105381161211,43.335191095983184,45.82271195200896,46.45062435055241,50.8633343717313,50.1434722539993,54.198174937466014,57.441099483722255,54.37848386285013,51.922387748812504,50.462980909830165,49.318471373698145,47.45819086909901,51.3352470904937,48.5687580324088,51.422398190175734,55.15670224122785,53.822819391923126,54.81910372647098,53.08774575475744,56.79124786772575,56.97939369285831,52.775882788665726,55.866608716818554,58.362932758088334,58.25756817429453,60.19294445009082,55.5378047963244,60.42106881985822,63.424365615896384,59.976457496698565,59.89392855030907,64.64554292120872,64.1700049040788,60.82753526516325,63.52017540662983,62.36772360333801,63.47648653287033,60.2862626827465,57.28158631913119,54.99696760490938,53.032075513441704,50.362755360377065,49.310122818521045,48.113179294079046,50.56354043808068,52.85477192874354,55.37131977221454,55.22968699822255,61.36074848401946,59.274299247165175,62.64858738440505,60.76858241625293,60.65327682737477,58.45111393056038,56.30820181456032,54.19454933354485,54.04773178451465,51.11661093916532,50.81209951031541,53.232948984479506,55.3112612885298,55.31811798653714,59.480195400541845,57.485113901507376,60.76887999577346,57.837611244847416,56.15575776159624,51.46856914540706,52.35237446323661,48.0289274952752,50.23235733428555,47.55938393947227,48.847450783868446,49.710149725772,47.38013078541071,48.61845468339558,45.020774555026144,45.15317878367131,40.47574736217397,41.82913749085761,39.07742478726083,35.13325256437496,37.39648457722146,33.41701864685081,35.01580076303455,34.080999055409485,33.860928318068204,36.2918348049012,34.91576607324279,38.576001815053225,38.67562526636491,42.98817913870759,43.00139954172873,40.163408116237385,37.85640048301449,33.941287241993486,32.39444276047085,30.985787859344008,30.155176097158762,29.325421160394292,31.42434938545234,32.29218411874099,36.864609552693935,32.56886189053346,36.53152204814008,36.94462618753084,40.55724372172085,35.73700229725229,35.07599302707876,29.34339983016966,30.95067794367344,30.54844753114972,34.20648427346587,33.307239836132595,37.169611111407626,39.535416895231066,38.059354610324405,41.66348131418168,42.184862461831294,39.09175018300079,39.781074999488816,39.02665150440939,37.69178506935987,38.42864314639546,39.64125578080831,43.3704639992692,43.75753957380375,45.681066542626986,45.60262201434564,43.6718492752563,42.83229560769628,43.86463220538208,41.15545338860925,39.706693280846984,43.50836206227156,39.63653714308537,44.2629571971927,42.46209653557126,37.38569790401276,40.2624543774564,40.008690017802735,37.6452753730228,34.937082422455894,36.94051306377523,36.14234063248775,41.060220809487326,42.53184607581337,45.001809212863854,46.3638318328177,47.11758519988234,51.07107436154451,49.78675204166763,49.23304585398023,46.51552263304794,42.41335072636849,43.88607267581886,44.59751607149541,42.06394008717105,46.522130538880745,47.433899368975894,49.800580123834905,46.069446118106725,46.28636475746634,44.080267094613696,43.74866317009052,40.78146528793733,38.304128690347106,37.74403490158054,35.996763564741684,32.15754448809579,33.67233360235409,30.457229514873784,32.32136102649981,33.01972051430721,34.38180064285566,31.16590279293147,28.474993466363998,31.71951074231188,30.450359905279374,24.431259963948364,27.230864859115258,31.988207670052653,27.14616528837755,25.167309357679905,28.423541562535195,29.1416138550408,24.441515585393088,24.97610605443648,22.71770055891251,27.736552731810523,22.772316486559482,25.985925143830354,29.59205784952361,32.711285105387134,35.62933501565263,37.16105925162253,39.8433194520622,39.30250966622967,42.48925178947912,41.80775266070224,43.99088289450339,41.15525348654338,36.39912316066039,39.71554559387864,40.31882827866785,35.52754169765508,35.02954118869161,38.06526720829694,35.05387717973054,30.98917974280877,32.78487277764251,31.00770268944104,36.40763859493401,38.94338606101732,38.92310208096783,42.58248978584016,45.41774273228379,44.60174683308927,39.840345207583276,41.230255016204524,43.71628442309283,39.66827439231393,36.924295406115625,39.996984290230664,39.42509327236614,35.20139720905472,37.929079997309564,39.613179631737246,36.09240764164518,34.61116100824284,37.51494564592194,35.15661144077663,37.97226876704122,37.73248576124581,39.35189387369693,36.664183163381345,32.18923689531629,34.94168571005502,33.98596837365357,30.64545927990073,29.8106979834161,33.48971828533031,30.08816828061119,25.860374852229324,28.544647477078605,30.8135596196995,26.895026602251097,23.589232964748273,20.085807220335774,19.823091134848443,15.645304560545073,18.674453856261866,16.250726073392368,20.20133152018471,20.340341340725715,15.513334240730355,16.645588135087962,15.929429951472057,18.832616224800844,22.946562034048856,23.890213059080118,27.693031466220326,27.427715399721173,27.854705215117495,32.074769448918204,34.117450274487695,35.67494792448875,30.738947039656196,31.00385956370321,34.41143072954107,32.557212501497546,29.748016135842207,34.00785083302739,36.50919029414356,37.600667885191434,39.03846421118454,41.71209499884138],[24.966008757595993,22.944240498555605,21.572054754366707,20.46285083197008,22.636070648936286,26.519709005611904,28.418405272391727,32.95784715271935,33.33321844175396,34.01169928688271,37.40993840088378,40.20840120854579,38.28190731728453,36.80145179210013,41.89179728094655,42.6533477302075,39.680221197386984,43.30529363148859,43.45059849515934,45.59405540904541,47.84981722819077,50.477872957147454,50.65399538396276,48.2697133300316,46.15143068322378,43.26973535827092,41.968937891954546,39.30778780708675,42.121353104956825,43.1394093611979,47.65835481358091,47.2091232294741,51.4004346641305,54.32182837663902,51.10619329804403,48.36440632152428,47.080298683865536,45.405107178355266,43.37348393937525,47.14819512287863,44.091179240704285,47.0190415155922,50.72771622092169,49.17678495100303,49.97893780285024,48.12542283709979,51.8036509513976,52.18764308990671,47.9889768381991,51.07486430536521,53.74881782154302,53.80028630674617,55.815200659184704,51.20651318585412,56.31978153478983,59.06547389297484,55.497223269366785,55.69583487898525,60.413949331493775,59.64336456895291,56.37726843573573,59.233379723003004,58.31390508485609,59.21294258846457,55.87386033831204,53.074253832188646,50.84407850192874,49.16858480970569,46.48173252369702,45.80131625884359,44.5020462929621,47.030806407543366,49.361883225053184,51.547903779323754,51.60957405760099,57.65667831551962,55.423072317777844,58.9968316680661,57.009859214437334,56.70199396088436,54.725452059889435,52.44795448082131,50.73648619182489,50.45087089503654,47.265730914335116,47.0904297618249,49.31156411990399,51.76337324125702,51.546343191884205,56.03692057359053,54.020163668985774,57.369794288514704,54.65396107558928,53.23500945981218,48.63005063869607,49.753632713442855,45.513517760300886,47.75222332625101,45.29905998172282,47.06360734277466,47.27726559545337,45.262550279083264,45.920753327851564,42.60685660542623,42.37499208813577,37.87158617091078,39.56964809459058,36.753990960285236,33.09460439968117,35.346822097290094,31.4051657667174,32.33537535845864,31.551246859683268,30.70269000895987,33.06450663034347,31.25534585846051,34.74071050824053,34.38246068379044,38.790542685018245,39.212553685913335,36.460692572548396,34.443787534513305,30.246030145965033,29.034956465971472,28.11870087611031,26.875592270443136,26.93871960868899,28.537240129753943,29.553745682177798,34.052482533117164,29.811624793280316,33.972246125115866,33.78769677519878,37.51093794934861,32.30908434260491,31.608759585442286,26.022138397460576,27.12466782803862,26.414336623087223,30.05487270738344,28.739787421764763,32.32871314337369,34.9664911238749,33.75724271517624,37.3111322716564,38.259302310240145,35.2915316826768,36.45145857193869,36.02343794407605,35.170508577996614,36.354203350845886,37.97636332235852,41.96938998558957,42.916378692786914,44.34762613247181,43.84942990401485,41.510553756347065,40.644281678504704,41.16656668269214,38.39068875183128,36.30432872679754,39.863637094274985,35.57439872562384,40.16379127399421,37.970875235322524,32.731157722680145,35.72629684911513,35.20574103400547,33.09741943011409,30.41112687870367,32.69015820223478,31.9565321255142,36.973514973209504,38.761884647244266,41.42512049746848,43.166709947592466,43.92908545092365,48.01179069525125,46.301157656547254,45.889845873616686,42.76807858046002,39.151377324128745,40.407111339050424,40.892724019355235,38.17220692861955,42.36932255618177,43.100192271975004,45.33028579524563,41.32120759804692,41.768345946331145,39.58314969396124,39.570042619394826,36.7496485330334,34.54568323023875,34.34132897118075,32.96480823185246,29.238873952941645,31.324406454839828,28.632134685033243,30.616146041896478,32.037480036363014,33.49278974420276,30.0227395403904,27.85573131596814,31.608583558536715,30.31197330577467,24.343590979367406,27.76260939350857,32.70337878409514,27.8847869177266,26.419225854064113,30.052119468135587,30.547661009841722,26.128714514870104,27.319007021590693,24.760672855454104,30.119549894862853,24.85731250976257,27.487295619364694,31.416172482793264,34.297232018560166,37.7462616870391,38.712755466801866,40.94280214954829,39.87098620581709,42.71050873772828,41.54554401122325,43.58567034829678,41.14381044338883,36.0621816602828,38.91076743541717,39.59681485439632,34.92756546132914,33.95100780356562,36.56227655827077,33.886922967268745,29.942478511114956,30.76063965932925,29.69038695276942,34.691921546826585,37.59954138430721,38.17629894060865,41.66356541564391,44.95115460020241,43.72860536029521,38.96146578951865,41.09101616650509,43.44728772451082,39.12429301641108,36.890677180735146,40.364291587061295,39.79618869305733,35.71207064157562,38.849687207278485,40.72455721755751,37.25715782800445,36.084441718934094,39.12676433230055,36.58355883849876,39.032452925567206,38.19956481114727,39.89390371094982,37.82665934384875,32.95944625389526,35.216535997518776,34.77530596172492,31.61216183340104,29.92147142614916,33.790168681416816,31.02068069016068,26.372282549696898,28.248622874359995,31.060665061676104,27.66928525661983,24.086411727375104,20.675351008631655,20.97082177241611,17.116782751375865,20.89616028961935,17.883811292175338,21.18080672129751,21.161653003110654,16.443863734779026,16.714939632163354,15.82336516337542,17.840914958188144,22.28002375526611,22.568258440929856,25.903166456710018,25.364847572550158,27.05007491828911,31.04556595326159,33.600397787115355,34.83584460839583,29.881304784945957,31.05476195030777,34.347117017161516,31.68830762534481,29.762016373717763,34.34458977313336,36.42556625851403,37.162508878133956,38.45934408568785,41.13698922709234],[25.681552260549783,24.14779855862346,23.71464345875333,21.51573139228112,24.84454484412394,27.402514669287232,29.199641345268706,33.75918443360742,33.192921660761634,33.71378208036793,36.74632562496567,39.91460423966971,38.35391453126179,36.10550732594681,41.25734446803127,42.53681606370632,39.6811112644397,43.184482459099506,43.23909736350315,45.96840646642553,48.069523751144644,51.161753004149865,51.06061130026072,48.7589237704332,46.942957465782015,43.6710843357882,42.7487898694207,39.83318024344376,42.59538405834267,43.742235382807564,47.45669689596304,47.61976273779861,51.549655267171595,54.48724466061809,51.65370435097612,48.888222557611996,48.130818352240766,46.57279590454405,44.906469131200794,49.31968269524905,45.834034380493605,48.19676001454467,52.194900835781425,50.85542283918543,51.50356310263812,49.90877933082049,53.665343842648625,54.096217734311715,50.2393963494928,53.721106100129525,56.23021397300023,56.53079204811431,58.27203793699603,53.476544510136264,58.46459418663278,61.107111982883545,57.256397350804036,57.19291271056249,61.95325493551721,61.194416453871035,57.46691521143456,59.90443493780111,58.79897269653792,59.34910952981845,56.35122393259693,53.63225056230018,50.70114069186067,48.97808264849819,45.75350722384147,44.8447398220461,43.23390321029079,45.31068527753583,48.08106526642403,50.57541852666978,51.04230419137904,57.19760113008788,55.56092203282639,59.182848050188746,57.64182318371386,57.753032771978006,56.124336065831734,54.32338693206363,52.66114506334642,52.897563647841906,49.67743872229074,48.91069983379568,50.675700549081455,53.005260243563406,52.2410830528439,56.48999726523473,54.00681870960822,56.929467770561686,54.08940842332631,52.76474687026597,48.14679303487127,48.81779225112692,44.55958389866839,47.53538492774828,45.3037371711668,47.38780473694737,48.01120451651051,46.65160257753552,47.483703761757745,44.72274191125585,45.246032833604495,40.73907945623044,42.930903663606685,40.59331046265478,36.7574166756526,38.40072041775918,34.04759560528201,34.612014834998135,32.966867562556516,32.06965130592837,33.52276629218086,31.718982260121198,34.950048811530955,34.29917672861882,38.38294150230857,38.82434651168501,35.72211458459071,33.79144799849221,29.84097938084088,28.999448126463292,28.398897162931778,28.35501886120241,28.870973054489408,31.082488191144204,32.736191028442896,37.56969845361538,34.04098348348918,38.43992549609309,38.27104986351894,41.557838407053275,36.236611570346156,34.80427153168376,29.599146292938627,29.957895583856303,28.598709296140786,31.92278763411904,29.9364844730615,33.50892894456537,35.81492422846751,34.803178300090906,38.56157329013722,39.407165318141196,36.44278060802622,37.5651290197471,37.53190583012322,36.226302803092736,37.88227276552518,38.78043348108423,43.15999326477426,43.42890030645262,44.63293634692389,44.62085614462262,42.238669418150806,42.04259050377977,42.31678064486755,40.39886742331837,38.48817704563758,41.53608841605079,37.53656398024726,42.287063967054756,40.428926107992254,35.378589669715005,38.97033378039935,38.59981051534092,36.98837910138691,33.92101109250688,36.26827123479447,34.85299597096139,39.79333345784813,41.442806203890214,43.799177349337256,45.53695694341686,45.63718224674096,50.20036362258256,48.670456650446624,48.65448224900272,45.71333257521093,42.20405736384902,44.10538355947261,44.84462480864287,41.88332168752984,45.58742391972117,45.74984694486858,48.33566557312371,44.25519625143718,45.35585095515542,43.53642584037745,43.622878552231604,41.24012522621609,39.17326595041433,39.23710306479442,38.23683592108357,34.22569221713868,36.398409403176025,33.629653809444186,34.99383098258887,36.70110274947779,37.52191701820488,33.827452948006965,32.20057881141284,35.768638503231415,33.74501577127118,28.008081265002453,31.68701413247101,36.06447828950225,30.604789548869842,29.39808154754872,32.93978912264818,32.68465336135008,28.040128195525625,29.678454777572437,27.742872531178442,33.20228899167848,29.060381866873428,31.698528138524907,35.47175256910322,38.954080776679085,42.175084176416746,43.60945096524982,45.75377077010993,44.88461066129436,47.795413469827444,46.466353905263695,48.917668870638344,46.59441702698063,41.29865220516378,44.23016564811218,45.354007616153524,40.6746645664766,39.517023187463145,42.28437784358571,39.966484767532826,35.88768880828426,36.42680935854751,35.006471268886585,39.632078015434416,42.64562569183305,42.90081306822988,46.132800444110956,49.23471986296494,47.675383075801996,43.08584427830282,45.07170421464694,46.98370207219471,42.48760122613774,40.443248696823275,43.525159292917586,42.52270385855394,38.574972658555765,42.026663906176005,43.40169630810604,39.45624996168257,38.848872896591686,42.17222717309582,40.04926237886013,42.87635796289019,42.24109914718629,44.38597839737274,42.114744341111646,37.12585638580092,39.92191913205345,39.67110719486341,36.311626409020505,34.9195572844426,39.21647564853627,36.385415713075496,31.632530087078976,33.89704611249121,36.92366952174098,33.433375124741865,29.79624358649457,25.971959700149466,26.61831278133447,22.359766902353236,25.419216125740306,21.942696412043613,25.141599292226523,24.0607136309708,19.64029372942837,20.80287221883316,20.874400174143247,22.978459883122262,27.15440395436906,26.541099020928815,30.130630803874183,28.68290978393787,29.912640091452772,33.881425570776486,36.39649730620713,36.8887588057771,31.971948068442256,33.05666155419344,35.81209593702013,32.89570814310802,30.47897049545761,35.061336777106575,37.05509625865287,37.55799583700318,38.606876550889595,41.22344982639461],[29.424817830252024,27.905829349248275,27.364819979825437,25.175962609736715,28.272700275558925,30.981065619324863,32.58432841206528,37.18018411026673,36.54097414827387,36.786062111154,39.79705619224969,43.10831424967347,41.29964295362819,38.90850169511206,44.00663152585162,45.30542507551965,42.22964674105476,45.50961496663949,45.178062238498484,47.98575890884725,49.819854154544785,52.835537970760925,52.50940525479605,50.01114593633672,48.447468108717125,45.30577178507946,44.66565435841761,41.97391684389508,44.973866791986076,46.397146387058974,50.04419800064641,50.457526176802446,54.413558946777364,57.1630573257255,54.294843527053196,51.34756655713456,50.760438175071975,48.84263876500981,47.06459063723083,51.364439464664095,47.62533018205128,50.01867573605346,53.99044882707893,52.42850644208132,52.8156057595211,51.056636162041066,54.75047176679557,55.47256712519855,51.6311194738705,55.03239122944982,57.776388340177995,58.22718816407721,60.067531952978705,55.36292283950204,60.54436097063128,62.94379161835281,58.9898330316438,59.19694271169969,63.90881956858227,62.853026024404016,59.19173178816544,61.738111861302194,60.82523537768801,61.10710112265976,58.03260394076639,55.54733294914022,52.53352798245577,51.07313849933535,47.70442064952375,47.04889645193399,45.26196505877585,47.21931123655547,50.17623114257025,52.47984230411509,53.238246572703375,59.33350999838122,57.71105310463134,61.487656160631246,59.935907060552765,59.93872965163242,58.51052915382153,56.62261501634274,55.24546114176452,55.36368058784087,51.97890292767401,51.33415841177188,52.9332417120773,55.5210836852768,54.552284647998086,58.992386075721896,56.42901043518258,59.30162063913141,56.58964336160603,55.45302391506483,50.896660357018185,51.599688017888965,47.39852579580006,50.52140698435076,48.42853327325291,50.721640007948736,51.12211472658143,49.91486002527731,50.50409775264477,47.85637080734892,48.149611704190065,43.73341107526341,45.97050842504682,43.51037837730231,39.82189631536373,41.57770476046805,37.30563933335384,37.661796611763755,36.12016655166978,34.92969831310806,36.27356693972223,34.20047060510928,37.23378326619227,36.099495591242416,40.16319217836249,40.991007655377906,37.89027351537161,36.223348042406435,32.152165380880454,31.637699654676037,31.37030014956237,31.17920600664664,32.08777932806692,34.03592294538836,35.65976853937192,40.37647607060169,36.704578822442016,41.08319783353163,40.62616460801198,44.09966260775996,38.633567893194645,37.35056368242348,32.19349888541455,32.369153777990334,30.846684934013187,34.1212541060716,31.69971668851237,34.90990610414394,37.49670901152343,36.7986247047121,40.49961868846519,41.705249834588045,38.85611182410596,40.282086505358464,40.44310234031876,39.361780048488136,41.18642614321526,42.20837497158316,46.657698815391285,47.042108063718075,48.110803234372455,48.002464639704165,45.48093381764068,45.29332444385467,45.348554130741775,43.40217130567021,41.15931314684654,44.04812532833525,39.763464797574926,44.44858099195312,42.21984618476845,37.015954474114885,40.60557560201557,39.853165365402496,38.43106659708152,35.55870644442383,38.14280202683221,36.93169099516436,41.924904363090036,43.82081327137844,46.32258541931938,48.280248805876944,48.41164797953037,53.0116951354421,51.23021359233008,51.26291378410853,48.05016685300183,44.84829448018352,46.481404252488154,46.99146060595514,43.978158446556336,47.556367214688294,47.64168754548662,50.01262821531161,45.641487346279,46.84976130795603,44.92832102016317,45.33511811529796,42.92544447951541,41.05491617606393,41.2464760874758,40.2719244390761,36.51370579162598,38.874594003007424,36.313781319926036,37.94999428000919,39.6839092581952,40.737876644003805,37.06833158994835,35.338899106905174,39.0035467295632,37.18507797266672,31.374031164775786,34.980037836006424,39.52772318070009,34.19457159358489,32.88969851987415,36.417785888947755,36.33403984335625,31.674053408932874,33.12207890020663,31.094549327253873,36.46548938933264,31.94382874527278,34.753649248536995,38.533645664615484,41.78386425302354,44.95407680820725,46.29830290432159,48.62161504191752,47.72468926966201,50.630914585205126,49.39580013779091,51.61448348633986,49.20999946752867,44.053989930649415,46.910930345436014,47.738824242384815,43.07430599254905,42.01417601298852,44.589551755112446,42.01616188987626,38.09613826245399,38.65799837395618,37.63039962011236,42.354491471065955,45.39556503903408,45.886099437559785,49.19787840441264,52.41734336983063,50.91713536868417,46.27447230753229,48.37590483704166,50.4039611718008,45.91958487742418,43.867879540307236,47.05678390474434,46.13749506924057,42.16006244013543,45.53619021280002,47.0069274466816,43.12993471559011,42.39268720837428,45.63846559274688,43.42304069958779,46.18316842624914,45.52423720990304,47.49373378305718,45.23366598088849,40.33306346913167,42.94266223020047,42.5418501144956,39.25134976418435,37.792168262969604,41.813340077481755,38.89774237890778,34.29667849094963,36.37045118612374,39.13927811695839,35.59220735940976,32.088154643970746,28.563580938613267,28.693351899204604,24.662600305111994,28.024814330840147,24.956658116337387,28.344623872003744,27.57670767195378,23.025330741965295,23.986494767527944,23.651476615658392,25.727224098932187,30.065824801671127,29.705776506683897,33.12548031401032,31.835344750076995,33.401199802875176,37.34305955250305,39.93604492838042,40.475757550419374,35.55598037561899,36.74905565727138,39.5424435516705,36.53436932856305,34.23793097414446,38.842785420227294,40.80967004923069,41.259342337649244,42.26601343805255,44.85580185736525],[31.977307283622487,30.12262764865525,28.8872150369835,26.211578540631653,28.659005567089718,31.53896715709346,32.523907219159135,37.16043754101438,36.448795172180354,36.07348503852542,39.11125345270201,42.62502007857086,40.22130886649892,37.74033014149717,42.69191039340814,43.900056242748505,40.447793199369414,43.3785898619004,42.52978813290763,45.344836432292446,46.853000377587406,49.72616252034415,49.175106392302006,46.48274817537127,45.1685341818368,42.211631721419444,41.88968719892725,39.52697987315734,42.848395131382134,44.68825794934146,48.31507371171155,49.064000860818744,53.09006438949241,55.484956944223256,52.520434632112874,49.29947796934114,48.95523774793131,46.49830983180594,44.58663512283158,48.760110173180685,44.69139918431775,47.08370650999493,51.00777449358276,49.21456002219226,49.32205285586648,47.436577595224904,51.06544425565976,52.057882626126194,48.29535530910586,51.66640081633212,54.59581728000728,55.25402644635544,57.15234363873747,52.547927275162166,57.92879135223949,60.00492183120423,55.924403195984844,56.44188321403243,61.07618180172003,59.67915055623664,56.09881200697141,58.780416688278,58.127298262944976,58.11676130037239,54.92614744900424,52.72087828744497,49.704520339141794,48.598499588837605,45.163536287960625,44.920363480312126,42.98284131347531,44.930554490211385,47.98076962655988,49.924272246891746,50.97359040564584,56.93601566925578,55.23090496136912,59.20516808901494,57.59197994543486,57.41865086339697,56.27987608614418,54.29887040509064,53.367063158998626,53.367038997887384,49.753926921355145,49.22129014289322,50.54638387170495,53.5009327475069,52.251412822955345,56.982359741001254,54.37272383833553,57.24516187532412,54.775353565048846,53.936789000208336,49.5117580724648,50.40666465729756,46.33759270009917,49.52769398261741,47.69274442995916,50.42003363348924,50.236495932221096,49.3726195736906,49.42176133555718,47.10254550194358,47.078326652267044,42.90119033114479,45.41269420747633,42.943057834907364,39.57527008618479,41.282131869305964,37.12964957914292,36.87453357667376,35.461900156019254,33.69323741325219,34.835329196224095,32.34203693518675,35.061675495184204,33.32598885292385,37.37814218191923,38.70788860409038,35.707001105473545,34.43023369268502,30.168182281669125,30.119950266554003,30.4254364794662,29.95289289654329,31.711511150504023,33.1761945393908,34.912341594209934,39.44140932627692,35.92120581240668,40.35342405873047,39.363454160062,42.8675065045697,37.16607411803391,35.860609500083854,31.040082082587123,30.655159143672456,28.786864874075693,31.882952951659,28.896445102233827,31.63813437427435,34.49943455522804,34.19494290273562,37.782086153442144,39.46071818692856,36.81315627525378,38.71270743981862,39.23506977693313,38.60944715952389,40.83123826535115,42.16155338860266,46.78376789886933,47.609270452119304,48.241317283318914,47.78698715323095,44.92967974856864,44.756226038835955,44.31943653433876,42.394782952727596,39.582250615470976,42.12135157273446,37.4887313417923,42.04994729477056,39.425598624600504,34.15259937587665,37.83869228629012,36.75406184706419,35.71829262516382,32.95919561575638,35.80128605361429,34.666358680352864,39.639494915918526,41.83431808557394,44.47612738886146,46.78566812654125,46.88776124286001,51.5751992888094,49.39956519070405,49.59202117810535,46.02147154476452,43.377172538825164,44.775611754557794,45.0445640679807,41.893588627174566,45.10133363341191,44.952137920655,47.1327391365513,42.47889476902343,43.9765826098627,42.1154804675017,42.89828939663242,40.69977425648673,39.17191306800493,39.711765445115425,39.096624502512825,35.57253993841572,38.35688560140253,36.29260500648603,38.00509148992527,40.23689922766262,41.36814227523898,37.58818404889326,36.25494378368619,40.210889437167786,38.433827459287556,32.763285341040806,36.68360198500393,41.3220578530665,36.10090405009687,35.11911865164384,38.84638009925713,38.66576615263349,34.23864428681722,36.0302540384177,33.79979512202323,39.32377462366282,34.55656235863155,37.02268489582358,40.97756439241175,44.00958978352424,47.49865987321933,48.44915461582549,50.48763609849397,49.22606669673684,51.86569070331886,50.3153826105191,52.36992380209472,50.25638219721542,44.95710421232263,47.43119009848945,48.25849787517187,43.74769675213721,42.383837361789226,44.572741210431346,42.24671194697217,38.516826766905794,38.36256120073542,37.93849833925143,42.28143011882677,45.55195828897641,46.50971735549151,49.663027087958305,53.200415721790456,51.41992560768562,46.82370313804242,49.45467805446055,51.38523172920826,46.750813033783984,45.09144152109514,48.54646904283348,47.65354021774642,43.80968579346596,47.42173334274607,49.034748525426615,45.240673707591,44.68769734286374,47.98933227301612,45.64067141135911,48.119077712142385,47.05475017078639,49.027236465388505,47.210063328794135,42.106559427829474,44.32398859703208,44.245835377199036,41.11574058179223,39.10766801194901,43.15270863935766,40.67037470912215,35.89057023936942,37.379393567563476,40.41372217318807,37.245231119387874,33.65008914021988,30.301679053439532,30.66635847772906,26.92149842705214,30.69303648207572,27.418157374821522,30.419072090134634,29.64018946016578,25.239082936068037,25.660678708109682,25.180633254881553,26.64920872480904,31.056150270348553,30.297750691704334,33.252978167861514,31.790458461080398,34.26707045505728,37.95246352046437,40.88245150205999,41.17092996561134,36.331568309759554,38.1672459344461,40.84136185224451,37.27320935136523,35.681355579644226,40.451369198022604,42.078258938693985,42.24128529986239,43.11306922724449,45.66193227434746],[33.79088029065808,32.172502140231565,31.322116387309986,28.123854129193283,30.99811836056438,33.147626109377896,33.9517165091594,38.51448734433321,37.24184497474038,36.64897818220515,39.396647521544054,43.13200567829431,40.87769065104219,37.92259543006951,42.79552874071959,44.30929429765997,40.90753542767665,43.634519149417315,42.617610493348245,45.79709820677261,47.108213740250186,50.23510789752909,49.45015759991383,46.80415901411992,45.77136789335962,42.628657147967516,42.63545194809022,40.20983945195141,43.51058799691328,45.492750521216045,48.54056856270999,49.75409646104226,53.58213060183382,55.8921097657154,53.18679521092894,49.928198681948935,49.97761455001918,47.521411285995896,45.84439612096666,50.35402769290964,46.0010347558694,47.99275020704326,52.05529321073003,50.37669212078596,50.32799189748183,48.61564683482447,52.24135347973995,53.30272774429098,49.82128157674696,53.40764576245078,56.23525705637838,57.08330064168367,58.798774010958674,54.13170456715414,59.423028554444244,61.35925899174256,57.1024839255922,57.50211296431164,62.11380712389674,60.66862255624602,56.8243489942275,59.228161223545165,58.50926430530553,58.19506380367673,55.24187425096233,53.17383682427665,49.70597915808972,48.66077549259326,44.875927548434724,44.57615434882391,42.40514205627895,43.990334589429324,47.3479258835758,49.40064533740635,50.796233086264166,56.74810705657279,55.449387742160376,59.46650729803202,58.1527217175596,58.22349068397981,57.37735831216617,55.70110608553603,54.886595136545836,55.191573831929865,51.55155453261912,50.672613805050815,51.64373973841898,54.56098071150309,52.91031503397286,57.497912240179524,54.58928106148489,57.14520764135402,54.666702392126496,53.96764117670037,49.60986239916311,50.2316828583088,46.23200265629764,49.88687849147085,48.26983287522192,51.25461921882475,51.21823131554364,50.82808003313915,50.88980457630093,48.97865304757376,49.34968514136968,45.240696359565405,48.04576254811866,45.85749269710826,42.45333760867424,43.810654925229514,39.491953513679555,38.95682401599606,37.095551838028776,35.2393674028444,35.76736706351553,33.25279344615437,35.678898233479956,33.6515435558569,37.38547724920208,38.82310976466254,35.66137336372336,34.56751355237392,30.542053585860106,30.842345090260814,31.452526961613444,31.65327748451219,33.747072978608905,35.456317312757115,37.52562752300692,42.165855910420014,39.078299550402164,43.60976531097478,42.58825277430751,45.82479285483425,40.08597256131589,38.385838691453415,33.88212748566403,33.0423107284048,30.805948163516423,33.6111751457524,30.195881956590004,32.76118550278846,35.383737922191116,35.29230627485167,38.919113902283165,40.58928403080609,38.027191114417896,39.955075870956065,40.771170389506175,39.962323594474825,42.49558974957336,43.43505441904009,48.26016823675012,48.75220799393068,49.15796741757063,48.94165266707714,46.03008389551915,46.26616559387024,45.599619416746165,44.217178950964254,41.45813410590953,43.595743682821585,39.156109999799014,43.72739796633879,41.289410535858316,36.21783045876848,40.21352628117012,39.2003779282468,38.52132410042003,35.59755363066049,38.45450932594794,36.94698734198521,41.79304413166486,43.917239442494264,46.36353740104563,48.70078214386767,48.39410241906166,53.34617369186342,51.23658798939817,51.69245395118433,48.21081484710367,45.733076013184316,47.463544706762924,47.84970208377412,44.57230980172453,47.40611670914732,46.87545549147595,49.22596075312512,44.54194072987142,46.46550233692129,44.858034128157634,45.73114936345179,43.833114203966005,42.428220257435974,43.141271847952666,42.76385329749,39.121723309317005,41.964282104004944,39.9031007957178,41.29798633335577,43.71313105714427,44.52143247372698,40.63334384695643,39.613201681658936,43.494178718326886,41.36294899820935,35.85271916374737,39.91004082456214,44.2627647510852,38.766779998301054,37.954636657887086,41.6378441086018,41.07213403698452,36.61009240704113,38.64131603273988,36.69890551233275,42.25972969831065,38.011778187565646,40.44370198974131,44.34021766413441,47.65049627954166,51.064244305879676,52.21106189273662,54.17418224762994,52.97553587855041,55.625671849783714,53.95283092892888,56.21151148083265,54.19149702101441,48.75926861804322,51.24140953071585,52.304769821557066,47.79752813765197,46.31111475484367,48.55285448343967,46.44018002959684,42.6448175567645,42.29847954371143,41.73142726719223,45.839947220406806,49.18215309333186,50.01366575149043,53.007158751173236,56.474110405631265,54.47969892686953,49.99923182061621,52.60765024426586,54.28093693729405,49.55201019657453,48.04821180264846,51.3153178963513,50.19717378821043,46.46436722161406,50.25457375472935,51.61419815949766,47.59827962718236,47.36956233689861,50.810879891769126,48.67075063544912,51.306099317392686,50.2986636668759,52.50545866681554,50.633523364092845,45.4489298110608,47.897639748398134,47.950808674751784,44.735129989997105,42.82147834772896,47.09349477532174,44.617146887992206,39.75309485321652,41.39199511247765,44.57007529824408,41.37619691834201,37.72550345942245,34.17470841207926,34.73742636407243,30.800678250890538,34.299487887811445,30.797599742102594,33.71559777681028,32.467605363421185,28.25382872238026,28.998883976808923,28.91129746761579,30.394847133080987,34.684453063543316,33.482335278648,36.50281240645633,34.586082792862165,36.90115164155125,40.5059345167273,43.4316994516133,43.28565844981961,38.53437722000885,40.38878071346175,42.727921673887444,38.97915642327763,37.25304694513343,41.972522167142834,43.47594424967382,43.45187328203302,44.141016433985904,46.60832846458798],[38.260382132991566,36.52389281600223,35.35666854796558,31.904858482538046,34.372473362537725,36.51468744860868,36.851430738409526,41.35655299510456,39.92215088039376,38.79631852696331,41.43054207120508,45.34326430349129,42.66822536006183,39.53674643149388,44.170819577657596,45.68218202856423,41.99605339188139,44.26595345594724,42.65402652907632,45.925567346551695,46.782038229584366,49.79071572593016,48.65790526010829,45.809238633434695,45.2056397323165,42.27245309096884,42.753407146490936,40.7087737224805,44.2820368326019,46.68602383090699,49.49423071404819,51.15708237060853,54.94992825504229,56.87958970632717,54.188367785417874,50.68341204497403,51.08226600270954,48.11529764996543,46.3780004153184,50.762218833764344,46.03710614424913,47.90065217897352,51.8956587238744,49.98704863625975,49.546551009845125,47.723280600598905,51.218254370854225,52.64723421294311,49.3556591891962,52.88945228533546,55.91506999276843,57.02985962036457,58.77332310725052,54.25819163327326,59.709562538102794,61.233639366911206,56.827435997948356,57.554627575557916,62.03287163923185,60.185220470892865,56.400951606815774,58.85705287891134,58.41609170843369,57.662576601044144,54.68617100418642,53.00973490535963,49.41339915836127,48.7958818164857,44.848191697406506,44.96759383409451,42.5713105913373,43.952477742222094,47.509675027205816,49.20022303486337,51.038440988493484,56.79007803171503,55.56462086998123,59.771202043451005,58.50250009326638,58.457777147700135,58.001434891192616,56.31514266077705,55.98277402554377,56.223436539284776,52.38460848387258,51.56674335428364,52.16300935733759,55.41656779196145,53.38451733671743,58.181856151479856,55.15354860058643,57.570690122523786,55.35312757849991,54.99807213516798,50.831629970257794,51.52195270913387,47.71296355789285,51.54365557235069,50.23230478094439,53.61260450176826,53.13379923043574,53.14315304301486,52.75172119442568,51.21404673731373,51.36432482337017,47.5111364683997,50.53202058715333,48.36606560859453,45.24856819885933,46.54069925566753,42.351926614568214,41.321083033088,39.52542348851413,37.20888798352583,37.408927181528625,34.557123006266146,36.53171123008113,33.81129558105746,37.33036607597891,39.32682790127028,36.272261310401746,35.659325113960584,31.633691558645204,32.472448585184075,33.639381403902924,33.74041456305354,36.513949851859664,37.84438561073263,39.99228455087106,44.415238845271205,41.494260255180116,46.00020749258932,44.53642068697201,47.768119291809384,41.902707363983794,40.20289477985629,36.091485340389355,34.75716861355005,32.21348630828122,34.72109757008379,30.712869264503666,32.60511543225323,35.4292686240053,35.842026178685856,39.27714261145359,41.417402561823195,39.12667698970256,41.47569485948589,42.66499795367266,42.215647607434114,45.08974914049646,46.17696625256712,51.12222114877111,51.85739040336325,51.89051493347096,51.469404910356936,48.309329990718716,48.643580723733805,47.52712123449683,46.28636735799286,43.07165940072591,44.771747230013716,40.09720057471587,44.46324855741912,41.663425033193555,36.64051688734614,40.686383579683415,39.29110259314649,39.08628826327001,36.36709376022706,39.44188046777713,38.027130494082876,42.747678143675344,45.13291906058745,47.65361263454508,50.29828926868529,49.89560036792685,54.92331472030792,52.47521214003598,53.118058749071174,49.33711909883171,47.44234661216432,48.94865704531282,49.09105602709371,45.720340674017216,48.10711242919862,47.28651786521883,49.40480762234549,44.43621884760564,46.70075102992644,45.17908840281553,46.47516075406946,44.81363518156925,43.778783040602384,44.799348618534694,44.71469173620106,41.36179854596279,44.500393317892915,42.8385386004326,44.3144049082021,47.02693548058941,47.90913470866525,43.98727130894884,43.20213953903269,47.23538006937868,45.164113675006284,39.76415765178452,43.94661375753044,48.34731322870332,42.94255546398803,42.282793541491195,46.043371180658795,45.43984471240297,41.09908411625073,43.25376807696091,41.219495202849586,46.82131617886302,42.39022109040504,44.70511953887396,48.67348423746593,51.81384556989239,55.35294239770249,56.282878085395296,58.14723217348874,56.75024432516022,59.23913958421218,57.41102012141602,59.50191527135907,57.643075537748594,52.195070362387234,54.41376566008599,55.38876540050884,51.00737360259187,49.379045764363745,51.30541638673312,49.28968656466013,45.69479012497364,44.91956726709198,44.83782773100475,48.68389425826039,52.155501280191466,53.32546830187996,56.2118993065686,59.87933087382149,57.71785612440873,53.29245523815929,56.231096782553735,57.84284061002059,53.04261023011895,51.7921987490197,55.202294492130655,54.09918250556766,50.46406795631192,54.36622269673138,55.79553960223344,51.82954844277031,51.69980856038066,55.154492112956596,52.944799375708,55.41980532989053,54.193936021459585,56.3624115119401,54.73504740424767,49.48102159360125,51.67164531808989,51.86104232445882,48.75819208450995,46.552142141848925,50.73991141615602,48.4761789537266,43.59082048360084,44.8606252541787,48.07851698031342,45.08184759958892,41.45236369345181,38.098057750766046,38.6119049197261,34.894541418186115,38.63384731542705,35.16323913971875,37.94381156749383,36.74869236164546,32.606011760845455,33.07478361328579,32.83441682582476,34.005253161176675,38.31602027664612,36.953031826606704,39.628485446815205,37.63238235545269,40.50956183737779,43.91430137002427,47.02936428894061,46.688561748034104,42.04407747695912,44.27413867356653,46.49102469474559,42.401229196519424,41.10589087897966,45.86916737049298,47.13632651185592,46.89582497175009,47.449454501290234,49.84190676666417],[35.043450305466514,33.456980437908754,32.594056252797984,28.72358068432387,31.615824808944108,33.067235623114236,33.38976079203234,37.80077409838627,36.00282063794455,34.95459667345197,37.40553566255042,41.364180092622924,39.040478625719025,35.67344001277437,40.35070215052755,42.08464031573486,38.65805385395294,41.071315193263686,39.81144262354699,43.29362587059586,44.37275177090545,47.70418859684478,46.703339699828156,44.132502111626245,43.36852243027122,40.08140812157022,40.43280307384768,38.024951923775006,41.32738546615334,43.52648728163992,46.00557264033233,47.72889546475593,51.36514118763882,53.47231211114283,50.9965866861347,47.66301140577188,48.146113663720634,45.59932144572966,44.15733976178997,48.962145371848514,44.325533969553746,45.88128692094586,50.04664537710267,48.502420664373,48.311245776410566,46.82407652824961,50.434689995894644,51.51554731812422,48.37091564992953,52.18394992400133,54.84476154274104,55.89578120845746,57.386654866198086,52.685040337401915,57.85359594993445,59.61032352426175,55.19275402944189,55.482023210672445,60.0357657267318,58.54210356340299,54.45603684657363,56.58611935079686,55.83547510360765,55.22373615139681,52.49351763529291,50.5859824376352,46.733068597426445,45.80237336570446,41.73578785737905,41.48048079046363,39.10236210654845,40.38465194746475,43.97553106230962,46.025196237622886,47.75587501326145,53.634501199060395,52.678937586959925,56.74594375900363,55.69997327415248,55.972489757285686,55.464727101232995,54.09500583431195,53.49081065599568,54.092539253670516,50.416272537383,49.1963244696702,49.74989012325001,52.674748554398356,50.59486734571945,55.07822407432573,51.91008344678366,54.176207632637535,51.77034229538626,51.2833726978303,47.06216415168606,47.51621661968035,43.662462593055594,47.70220944150634,46.393794474383306,49.75711086820788,49.62320305277102,49.81872762019241,49.698791763553835,48.33345920763076,49.01844788446466,45.1074505372366,48.29784532743551,46.459695089813536,43.169139070599435,44.09277452322411,39.70623520774634,38.657313769679746,36.418258429258174,34.310443067350846,34.15612284892909,31.550570598006637,33.56167511276967,31.182457105848027,34.552637667847726,36.159939616814,32.92670755109453,32.1268099181785,28.354788993629995,29.120822173630145,30.208432769012862,30.97204559071632,33.65987539205899,35.41212382170001,37.844530143318096,42.478611631325094,40.004309711998324,44.61332486023859,43.43140582331221,46.29208522353901,40.5307209230006,38.380236665663034,34.417585287252884,32.93360448524737,30.271141690658013,32.65458190535553,28.78859708855868,31.08076983762322,33.40901105477016,33.5790203792605,37.16911640305912,38.877557370122894,36.485329224726804,38.53028587816346,39.73796325206276,38.91943096727312,41.87212998938739,42.55088286580516,47.58214258142706,47.96964409122388,47.951915476553836,47.799789519275144,44.73334486242606,45.365003347738934,44.30202580663523,43.489846485766336,40.660038729370285,42.261487531342574,38.02315501050805,42.521305872169066,40.2895533670528,35.531584577713524,39.84302491119431,38.965485236412114,38.7374029464245,35.63285952791018,38.47003712661105,36.54231297139025,41.16131574539104,43.22136867431634,45.44925793361502,47.87264089620861,47.13604774493613,52.33475551296207,50.21936521485538,50.99234577360512,47.57759963223238,45.43051787583835,47.482465833738885,47.97542191119864,44.55880372739792,46.8685064521936,45.88085418444207,48.405585521970224,43.753584601274405,46.17472222231828,44.92630001612396,45.88791913036883,44.4311574568968,43.228524166783956,44.216716809953695,44.24952028229253,40.52620524715031,43.52261273941465,41.65410810450571,42.644358633215845,45.46887281278272,45.89880539986924,41.88390866897334,41.439711996706805,45.324980706208954,42.824581031928936,37.65798669366016,41.990900830780674,46.00803721015467,40.34783332336627,39.93313593727878,43.65037772807425,42.61569825710348,38.34189843866365,40.838486120591625,39.090622945205446,44.74707930801596,41.02336417955931,43.12646735151019,47.03301813046484,50.55235925356641,54.091068693227584,55.22468443850898,56.85112479634173,55.52122623289445,58.015246543931156,56.00844583321864,58.47310900067278,56.75960741455465,51.08323045345459,53.37974396421158,54.814397886097524,50.412884970604225,48.605318386253764,50.769805351013964,49.13960657280399,45.32733365655181,44.40895929982748,43.84200955216054,47.43225636576382,50.92678281400607,51.77615845103556,54.46573838463109,57.96430605900289,55.59040666597675,51.310124740227835,54.12380902323528,55.4291772907856,50.5600708452426,49.44872684348162,52.61761386959639,51.27817633485842,47.78091468661509,51.87230089672088,53.02847198476287,48.8706821651834,49.10888886075552,52.71497475320296,50.74556217373965,53.36617624244228,52.19205664477084,54.686234558296555,53.030166424065044,47.653785436345714,50.15625787526731,50.5879266986193,47.37721542248082,45.28593250428942,49.88133264834213,47.71199968395093,42.63364999213249,44.1642267621639,47.729359045236286,44.76398514238187,40.97351031166078,37.23272681458145,38.32768500258126,34.30497111402124,37.63243707235485,33.69508317485878,36.19916511350943,34.429409327189965,30.611898991807553,31.394308347755405,31.731220662183258,32.88872171606281,36.9698246144078,35.05335793893837,37.89895386274344,35.4223652119335,37.91670246023361,41.24960912760114,44.2911747012148,43.57581040291423,39.02610795510434,41.204608189814934,43.11085810813833,38.95398322625195,37.52128340478881,42.205036156174586,43.36965750425516,43.01940263869434,43.467379639167646,45.81410433351236],[31.484155150657593,29.666584602280597,28.479135835792256,24.924765644941658,27.567751319685836,29.610511933121057,30.14807417975421,34.69334682055372,33.40412046287415,32.64431312766387,35.429739929502674,39.1811112129745,36.78044277934416,33.87016911517177,38.732050243106954,40.18689268367268,36.75201739909434,39.50564458701,38.57013562651875,41.70927399385326,43.12032864518546,46.278435459302194,45.5997334564854,43.043625380230516,41.87470050409281,38.65992328747514,38.563451405555696,36.07270250875266,39.345498814068314,41.319590966026574,44.419692584856755,45.605925393711274,49.45832321916781,51.7507712425809,49.01835325399147,45.76456100721363,45.803215048644894,43.381099193750366,41.74577897856029,46.345581780441755,42.0307735798902,43.977959569757516,48.07195356381866,46.50024103790233,46.57809697381467,44.98575319969176,48.66497147590674,49.55405822354378,46.103058510600654,49.790662255645216,52.46811719738195,53.28234982463652,54.910880217043555,50.18842317487978,55.40075093651243,57.41138991975618,53.17088756171418,53.45343795217611,58.087673298603825,56.761340652495726,52.865682067472136,55.23387405574213,54.45289074926206,54.2543676699363,51.30297650517776,49.1360507939701,45.72260996770704,44.598553505247935,40.89344824673473,40.57221316253694,38.477348793117926,40.20076010257495,43.43884566954052,45.494029143798464,46.763426326314985,52.73805107316294,51.37045419298328,55.36124695867345,54.022635836735574,54.11217463803758,53.231798395528884,51.599397367339606,50.75686291435378,51.132158998661374,47.51528334299182,46.550660216455604,47.51676790705292,50.394490456169265,48.76619259381065,53.34462594567285,50.471939624500735,53.08966153249482,50.61068538423893,49.89781544039488,45.53881110615525,46.24831984998629,42.25427415034767,45.829884334073704,44.23936811265472,47.309220834471155,47.129263639512686,46.826509867493854,46.79173881964753,44.99649621564192,45.42570128904516,41.37873711273673,44.332950310012876,42.28644637420616,38.945479798888606,40.127756044490745,35.80414872099604,35.04734593512863,33.12729273140241,31.162995937713497,31.6178614562639,29.079502112897224,31.513794462574552,29.585626437702636,33.36841416530298,34.71938788412478,31.575782937280305,30.451102409238423,26.386524168736095,26.693780816890854,27.394251565768336,27.61927754418921,29.94745177112981,31.61108496204748,33.81692482325807,38.461757328516946,35.65884868435138,40.24241943914808,39.18022788475755,42.220132540443544,36.479805478653134,34.57101180524283,30.264260986763553,29.189222052184274,26.84023687387872,29.56813446141507,26.181665636880343,28.88367010880833,31.371136718586364,31.195635179137685,34.85358772684585,36.44200781007738,33.87259741767536,35.803040835818145,36.68219705225053,35.9317011729031,38.58530275193902,39.58094021630065,44.45965900156261,45.112105624845476,45.35229689373296,45.016823922922555,42.02030970832993,42.28021821616375,41.5005736507355,40.19437263947089,37.40665186831095,39.46557845773212,35.098471842789195,39.691475319035106,37.41499224086471,32.45143369968046,36.56650068774987,35.77944541139767,35.15081244730466,32.048293585250164,34.82399717152174,33.09977335210198,37.889343267080534,39.939847928479146,42.31350167909491,44.650234851491355,44.265547370402075,49.2616224209846,47.16932975297781,47.69131530468899,44.27239548617099,41.82663261984648,43.718215754903866,44.207704771998515,40.88448739262383,43.60659906174767,42.98802627082691,45.48161166953782,40.92861847621924,42.94373614396777,41.49804609865839,42.2538475372921,40.53272327172877,39.13386690187073,39.939211438012926,39.772403696191176,36.01371692024706,38.92749524160685,36.977603272446714,38.12582064889792,40.82882917527998,41.43598633049367,37.46743861229619,36.82662467266388,40.767433122614975,38.46366678913422,33.17203164592898,37.46376046757194,41.666975512558324,36.158879352830404,35.65900691430805,39.440094542288314,38.64703071295723,34.39418789708198,36.79487192628643,34.83877130351147,40.51797754125394,36.507414921490835,38.563093111781946,42.52567472351008,45.906361661727104,49.536171390255625,50.53594841987466,52.153440980783415,50.7739999631195,53.26021478035104,51.309132893220934,53.69704177122449,51.93893266952281,46.301327001906074,48.617268399482434,49.977365757788206,45.56054535367883,43.79914227568191,45.99540580918861,44.294257149706326,40.464717961489725,39.66228605448639,39.07063480329772,42.81780005122216,46.267357112944445,47.14334573559002,49.94163040827811,53.47407713577459,51.24332852382984,46.86618692451113,49.67946054923604,51.16069886522357,46.33990997293293,45.10608805058788,48.41266933994614,47.2262995272342,43.633243311960385,47.628449012778134,48.968624338462256,44.95694845716598,44.97882846616746,48.51001540768798,46.39423723252644,48.910549601090274,47.68483342872894,50.0592840274812,48.45061278475424,43.0883701622165,45.468594096453884,45.86127250519359,42.69203373484978,40.52690004939,45.05750717825743,42.9252196611122,37.84295823894652,39.30878418893317,42.87433623009762,39.95973893599225,36.1555837300208,32.45962627243245,33.60657208417471,29.654690851324602,33.10058286307603,29.17254369891528,31.651291092262362,30.115806172770192,26.195596420211356,26.77229003865158,26.96580529180503,28.08145794837639,32.214209215843226,30.49925323903638,33.36159844314007,31.148120407893046,33.71915067788182,37.15208878651943,40.20572251637996,39.827206966772,35.15855249729615,37.32813116480115,39.51708187157489,35.48945000797348,34.13659273954692,38.9117496882079,40.200426374130934,40.028179100795256,40.656477043952066,43.11433472561476],[36.29412773701855,34.22030980436942,32.427785341235165,28.86556916199051,30.685518808415203,33.1311041925243,33.1230375685223,37.613109705567446,36.43918908769322,35.067141599571684,37.8677730550164,41.72533672569499,38.643631558055894,35.78281345226807,40.35846161906207,41.61577421878577,37.73785636348708,39.97790176657082,38.297952978864565,41.33982627207394,42.241627296541736,45.07930124146752,44.065348989171035,41.17500793810869,40.41316852037827,37.59945478095788,37.96598746431826,36.055828062433136,39.750219581342215,42.24079719766273,45.38055305766923,46.9023487008338,50.83286605491816,52.65208226128544,49.76881671090467,46.185882740503686,46.466209547859656,43.307423244974,41.42630289334813,45.64852491175652,40.962100966226,43.00044697892076,46.929906676789265,44.94702898625506,44.57540626487234,42.70252160912892,46.2249058996036,47.58771047656892,44.20307883514711,47.70524725253789,50.73794797267248,51.810652035811785,53.60141354443804,49.113198934174434,54.62544467473204,56.15700194336136,51.80340884862792,52.62227425981837,57.10286685271261,55.24226956203101,51.585177541049035,54.21841049903196,53.86581200405919,53.25700135859931,50.10032956035505,48.3833747838882,45.07614226844869,44.510815084871005,40.795554693606086,41.1053930052728,38.839107075084755,40.5262834941072,43.84870844795004,45.32902174816757,46.99169409227692,52.708316760764234,51.17338500512936,55.41090579372071,53.93705121713842,53.70657480024511,53.183203526618364,51.33625372268395,51.100541888795135,51.190495359640416,47.300344163423006,46.63986799515611,47.30226598449608,50.68903771183748,48.77732982367915,53.754007899652464,50.90231454971606,53.53749414155538,51.42193988522589,51.097288680743674,46.95828264458357,47.93727143407024,44.16333554304946,47.69121354434022,46.389604122492756,49.847867574049125,48.96250603439487,48.92447002767886,48.246445309435835,46.725643018505856,46.59660560977225,42.87493340714514,45.95258266750236,43.77017262578933,40.86685100624208,42.16462628266943,38.138229132394244,36.84457649510704,35.29903254501936,32.72559779437291,33.090442708941175,30.065576266581534,32.0360625520763,29.268358417820366,32.985232965587656,35.08328785758038,32.18827416997911,31.637373547257475,27.40346230675057,28.281392274421044,29.604506363143503,29.261324522273018,32.3695723479789,33.32728352548226,35.43916651622833,39.694236529698145,36.87354661053635,41.352919619884105,39.67185051890136,42.868875998481705,36.96405921353523,35.29705637700299,31.37578453434019,29.842174267268675,27.253610395797114,29.731635202867313,25.695869431110303,27.534197472749305,30.513259860209704,30.943437869872024,34.320011320568796,36.61133399635444,34.37237475376339,36.906054284544396,38.138673997995234,38.01885762123941,40.95954678764005,42.39613272302824,47.30719723992465,48.49049434597054,48.356447119542835,47.596150409389416,44.291684739279425,44.43695161856505,43.16497268152999,41.722082262630956,38.24359611534854,39.92687925355794,35.0768320956519,39.3838188844532,36.44655253109448,31.386557756454188,35.41279282985675,34.01482156513691,33.85839758631064,31.139321459266867,34.245375655835275,32.88194690160815,37.58901611451801,40.07152909538189,42.68260142405862,45.44668953997126,45.181238983231914,50.12446469729299,47.50608108240329,48.12959489757167,44.21974727912496,42.50587846572092,43.87188997653478,43.94009401038797,40.54923722230569,42.867472256565065,42.068710825814776,44.13765061191252,39.16570537323523,41.41939345924145,39.93227405809268,41.24937919988481,39.678736562223,38.73907492542011,39.88839097563287,40.00416176400234,36.736687748869564,40.03927954372808,38.66457323333243,40.11327276989825,43.11440657052813,44.01536480672317,40.080342269813634,39.5807764794739,43.755920451875745,41.75379061204425,36.54369589082687,40.89576152917993,45.31261261658623,40.10869731928561,39.7053935805819,43.59133205889911,42.97746610677487,38.90914595426894,41.30597086237262,39.082623478013076,44.76437163682954,40.22821338321165,42.15677429960412,46.230281676258244,49.21360326522669,53.03778941257981,53.63773622930867,55.16750870171171,53.4918026309281,55.74762206766553,53.66516559776125,55.69608807310102,54.10577576256571,48.54188345710005,50.48348790453907,51.57626161420161,47.34471796498763,45.46430813186248,47.18279160270291,45.49431072365254,41.99446256564454,40.70129444229353,40.88340725581708,44.388662312201994,47.96829436111342,49.387961233636844,52.126954512640076,55.97061707905602,53.64254733383113,49.28379429621511,52.55537150441649,54.100490487359316,49.25401467238233,48.27609280632096,51.8752596159483,50.84491755338783,47.327968026394096,51.35214149374085,52.9279288152144,49.120702497103565,49.0806578497434,52.5352921559988,50.21367305822476,52.421636435865146,50.87709152508534,53.05216296929026,51.80401794030792,46.41983227309408,48.30773341664416,48.80089301606877,45.84371074365935,43.243366848901914,47.503900185508506,45.65636712747621,40.623365379658395,41.49345403427382,45.009552735875296,42.381325034014665,38.66121975446483,35.37239238035206,36.30969399252043,32.78241703944529,36.67809890950798,32.96668637910782,35.31963318370585,34.14016045168447,30.22235181157203,30.257253537028745,30.00740859133636,30.685384849571868,34.8904441349589,33.23069949464803,35.55011890297819,33.50656676588122,36.94866670583986,40.13396822440112,43.43594789933612,43.04970135742642,38.49703547201431,41.14785561694426,43.357736862359936,38.99713079693185,38.29781668087949,43.137165106653654,44.18215121108849,43.82961698341379,44.3777694622415,46.778669228271994],[37.33853308254399,35.39488532586317,33.79008256490132,29.67847475241848,31.702055916651357,33.38047736134165,33.026600047750385,37.34543684845068,35.629447309328874,33.91118748748749,36.38253129503562,40.436751505308465,37.41420946378713,34.11821859201513,38.511005569668775,40.032762046276424,36.202284246889405,38.16394250594499,36.30222061856624,39.695691185510995,40.39496518275077,43.498818603955804,42.27453552624355,39.49707646138232,39.00067534226314,35.981126957244705,36.68494543185929,34.726353183191165,38.36268778604336,41.00955833819958,43.524122129803295,45.54100340029926,49.24776476886534,50.92096704911461,48.31038226405529,44.69795251065338,45.40803213112552,42.261818889874775,40.67003865311286,45.248176911872655,40.312809607012014,41.860766934771,45.919040479087954,44.13002559744669,43.64746823053605,42.04761427760014,45.565421837185944,46.905697462745245,43.87988074154095,47.637106983439985,50.45183906087644,51.70524663653074,53.241465303275895,48.694752096053826,54.03131530444083,55.432335210217055,50.922223183660584,51.557886291742705,55.99404269075764,54.142335244545365,50.19552380821185,52.49877482248684,52.060476039421815,51.167951268312294,48.28050034647759,46.69082993332893,42.93860362208892,42.43752846297149,38.4023417262558,38.68903597743961,36.20619455994498,37.55222528134368,41.13566227161616,42.680688533840055,44.67698779463376,50.344176662731826,49.212030725392545,53.47261293439302,52.30890812838904,52.33877324582459,52.131256330953825,50.64157183194457,50.540544095469315,50.979999633066626,47.10012590900081,46.04115054854887,46.29990635419329,49.61965475769899,47.28821321478311,52.09387639770516,48.959121315178805,51.272675476912994,49.186385694530635,49.03619131348142,45.01701034728762,45.76946599119095,42.12595228480384,46.065891888236166,45.043259429635185,48.81076401147517,47.95777707186817,48.469843467004885,47.725026666031525,46.71229085314845,46.99674474896221,43.42855567057942,46.84302519964145,45.02830541810209,42.159966897678416,43.019277950925634,38.891073492801986,37.21165108152268,35.229573240321706,32.525493572574725,32.18801002409425,29.15317863291459,30.722581040098685,27.65700442871578,30.966106890295954,33.17446774906589,30.17328218090516,29.882180222362578,25.968136289883635,27.273916406215847,28.99264104098891,29.3299833772487,32.85783846447306,33.98640442326566,36.45239939429242,40.746247298462954,38.52806838250262,43.069975247547426,41.36186508694386,44.15511582733444,38.29390691649628,36.1563791197776,32.72675053171651,30.6557589846236,27.694231270080845,29.742188950338583,25.326310553809392,26.946070104817494,29.527890119293865,30.178487225626306,33.53858169366272,35.77520296781478,33.68156422048176,36.24025352952825,37.81750392558804,37.57805197328632,40.87196196305976,41.953327368794525,47.04011532444422,47.99928017676914,47.52610655340866,46.92002381359811,43.52935191138245,44.0971598617684,42.51477793684941,41.683380624170795,38.266264803440464,39.44199543437904,34.893678096412884,39.14550347337536,36.52541848201771,31.84053469458256,36.182854109877496,35.01121359313397,35.256184056719704,32.32648879955742,35.33854240158266,33.503289546355994,37.958864307115945,40.29996101451812,42.6395300235196,45.41480580813492,44.688370144890435,49.88019625790226,47.34626502472819,48.27573520656353,44.52337597684734,43.03600659363552,44.79974943907187,45.03814995955442,41.53723185698174,43.372527662974235,42.1263481687982,44.424640753751085,39.55571985725224,42.28633405252289,41.174073914704,42.501458000794166,41.349712026892725,40.54151121810451,41.885634102783676,42.32772844495451,38.92372286629404,42.2663876370731,40.95209145078193,41.972459371815596,45.249453259231764,45.74933130901977,41.71556024350537,41.68378346636662,45.783922087556704,43.39996504714553,38.487346223018385,43.02647807616397,47.08932778038836,41.68432010482133,41.57935156391304,45.444145048111274,44.39305583809299,40.43595745242143,43.18939279279854,41.2153282752372,46.94913000376155,42.98103510182243,44.70553044165593,48.74173677941513,51.99231329256823,55.840654698104416,56.54634028843889,57.83985971682532,56.1404091980934,58.32012310483778,55.996965461757874,58.27359267729827,56.901812613124285,51.14063405194464,53.00431806613643,54.457864808914145,50.28703913318007,48.179254705956716,49.92481621676743,48.63514856077739,45.069425018461644,43.41697743495685,43.43697724763783,46.53005914595879,50.198193564786905,51.5103023826784,53.9868531822428,57.77658578812812,55.14009981911033,50.97248043889135,54.30762641538659,55.507104768764016,50.558942242124715,49.87095364205092,53.29722194335331,52.034943297588576,48.717407723370265,52.97820245013263,54.309666212966064,50.33239242347891,50.707079852452054,54.31074852304926,52.19613746040476,54.47299652253111,52.8789210271129,55.33759764172811,54.173040991937235,48.65725538363834,50.71039933673147,51.47882720944551,48.477630550724854,45.86178831248893,50.42760171498757,48.744208820276604,43.556380874038645,44.49185586095082,48.29773781595252,45.768149574589636,41.94027239415251,38.418733670474154,39.77117728344091,36.068707262136364,39.70090404898184,35.63853358167111,37.72310020703298,36.03701952711362,32.44468871031924,32.678178831700045,32.872436142305375,33.42315060158213,37.417869350349086,35.16324606724097,37.43964210702319,34.87020624435593,38.246917810707096,41.22532551257747,44.55504061247735,43.647853384388185,39.28190101613249,42.088371329048854,43.88836905754705,39.257244815737586,38.665154739736295,43.42417596551583,44.21749314733692,43.60173584868453,43.92910562877995,46.209899195695364],[32.72341365684098,30.69946921551021,29.0061759293934,24.742140985672737,26.785219068340517,28.340959239898353,28.026526656424828,32.37830508128317,30.745656941235666,29.220637727895657,31.82751761391039,35.79514503195925,32.9135773876048,29.763224622335255,34.35857376981896,35.833716453094034,32.15124796339773,34.501225333238494,33.164347131232546,36.46525226298323,37.61727851500174,40.84848322208604,39.992078077463376,37.44541574865889,36.48000018363607,33.2190855009558,33.45264077287059,31.124882035292245,34.55637044362014,36.897466639574,39.66214583136482,41.32625915133887,45.10320276084862,47.05013012437085,44.38855547470391,40.946276041853466,41.384530137603655,38.63477292741576,37.11535977859371,41.88683364002178,37.25111055850846,38.87147585476625,43.0226380299524,41.496804492927495,41.43068788366405,40.01533365033006,43.683590673883806,44.59186209015349,41.43386160333077,45.31839124199404,47.86311628924607,48.884064737246874,50.33378048784733,45.613898709311385,50.78112769303634,52.56062457224262,48.17099964596874,48.461652203204935,53.03005470159716,51.58237884614731,47.54327710917833,49.78863529342777,49.08438151133414,48.63246259941317,45.753378301876516,43.765537410563226,40.157204903800356,39.24845941582248,35.39713676136016,35.34028926580549,33.09201837094662,34.74464521240164,38.07460942111945,39.908623597334284,41.44942396042378,47.3148919443429,46.050983537148895,50.15876802827257,48.92854719407126,49.057161868955994,48.519829721564655,47.06607809329914,46.580249269141966,47.128017505349646,43.400909401045475,42.22027544527372,42.760734162091055,45.807874377212244,43.7789969821104,48.44204019962581,45.42201897707712,47.91185246431589,45.62052714337172,45.19674371406294,41.01246316330047,41.80289737894065,38.003222846004526,41.75598586035378,40.5292138355748,44.10528343057326,43.43291835610716,43.73807994276266,43.22536048490383,42.045906492102766,42.53937675689828,38.838565467756624,42.24403439558974,40.53982319600397,37.53266180604432,38.275937729008675,34.05082750575927,32.49264703276383,30.395034294253826,27.886438437846415,27.699098486889536,24.851791108234014,26.783777041679333,24.317013136934406,27.889521377216912,29.592983242611517,26.49545751653248,25.801917035031664,21.789834054391672,22.73429723842299,24.184054662116058,24.632505571671974,27.96065129828129,29.30693370007956,31.85922789645756,36.312537864085115,34.244056179721554,38.84611932566212,37.40825593136878,40.028838308126396,34.24967686357165,31.909429077962667,28.3981611339759,26.42628131688401,23.5430624220798,25.73740965493745,21.750062470019767,24.045684643701126,26.35567891653658,26.536820672257896,30.102935151580642,31.921264429279688,29.601368668065028,31.873105375018316,33.254317076708034,32.81479852487055,36.00185947527886,37.03712331810096,42.10355192322266,43.04284904414118,42.67990906502159,42.10421536510929,38.797054287389976,39.31968718751038,37.94426107317739,37.07948018213784,33.94404978559873,35.369598458609055,31.035839420344157,35.486069521725895,33.27417275834556,28.63569627325671,33.06351657470074,32.38150296702338,32.31982550816714,29.073953399285998,31.856061199605126,29.741476624079926,34.25316182615827,36.34536955603723,38.57412341330679,41.13742091071213,40.40760487267929,45.60439861787193,43.32226443307759,44.176925676295006,40.68472372361794,38.800136654553484,40.87336097565004,41.378102220015,37.89896296259413,39.96678323490154,38.85652411641569,41.459239920403114,36.912062389425536,39.46540453420561,38.428146388606386,39.34174991443705,38.17294528032733,37.10802208161636,38.315585920741434,38.73749105966804,35.04253058815761,38.23671799174969,36.75812512662375,37.501398193785725,40.82269516331339,41.0955567717598,37.02582105179939,37.17894486943089,41.20983845228587,38.6470675510219,33.89090544323349,38.520111370004635,42.39661897369507,36.95522398732017,37.02661453169932,40.894311567439225,39.67982017677113,35.86031716929629,38.82357224503017,36.91665164602303,42.66872843085798,39.047067410251344,40.52052307452457,44.53274473513532,47.92562238552085,51.8438397714922,52.56584461780768,53.64260232221082,51.93375348450363,54.07925714471168,51.63874840094305,54.12633167753897,52.86486214117059,46.96940618503027,48.86332979262132,50.61466226730664,46.45086849945271,44.21926151128154,46.12987013049351,45.12002884119098,41.41494223207883,39.67215354765645,39.34899827834278,42.29282893418622,45.956308243845974,47.07569582948668,49.45328565956421,53.155368246343386,50.43808523454494,46.327287330240594,49.60822180078597,50.68508870087355,45.71457843678322,45.092652063383085,48.447778279224266,47.1214682904242,43.870216450676644,48.2150665189062,49.480175297181226,45.4901630848827,46.010114405560415,49.66238619736851,47.62269016670688,49.89457101479534,48.26864718792799,50.881531902240845,49.77878697851198,44.18964141882833,46.34351222337222,47.299283932192374,44.2818451070301,41.66256465539382,46.46974042084702,44.938397796579565,39.626011623964345,40.64773961891867,44.715808093087254,42.303885644090684,38.37328873002834,34.64888650934228,36.48668519476571,32.68958342395192,36.07884521014825,31.709758315946658,33.475720248209214,31.52322391057847,28.205295668130383,28.45647732979174,28.98998042482915,29.40313397118966,33.19865076395902,30.601502723873914,32.94139396948079,30.152437935316744,33.38678488408096,36.32765189131821,39.63967965816477,38.65277450101047,34.3000561258911,37.139894953318404,38.87742796868776,34.22108869975283,33.69369085613681,38.45661386153513,39.21245763584549,38.60885168257111,38.96787082245245,41.28748066723854],[33.28101881182212,30.942535327169644,28.637987970473066,24.875579212595287,26.137021628871146,28.663400735903977,28.323946154504963,32.76168880124483,31.785057674207643,30.255853157842413,33.19488762044204,36.96367963841854,33.630200157524,31.03232480685245,35.59370920092559,36.64498423109834,32.697754464765204,35.04807618011749,33.54296692463434,36.38747346812084,37.516455339547036,40.312020462673615,39.545930038221016,36.76081390163299,35.67471329868875,32.815805903607504,32.89980833403576,30.921761669510765,34.60518974129614,37.03855822771672,40.473889006327994,41.77953271612874,45.812853580642035,47.64536502283336,44.62956595362963,41.066664891847246,41.18082952691847,38.06112469683454,36.13844396565614,40.38049932955952,35.833645341802004,37.97869299489578,41.91945002108751,40.04116663293474,39.919193543242855,38.143946870564164,41.76706990877573,42.85279955193259,39.37897101432577,42.96797698733466,45.83531854964217,46.78426634319834,48.53061800697031,43.96082422875658,49.41384488960249,51.120692465158456,46.84183212783338,47.53181638308868,52.07213231771934,50.40537040854445,46.756848981923575,49.446623770418014,49.0201199515195,48.69728631445912,45.45136701045694,43.52729993089217,40.46463994136506,39.756189153170034,36.2894265236478,36.58834330386335,34.52582095372203,36.545503584113625,39.572516685805645,41.02212138993577,42.36861864942657,48.125123656205474,46.344280891312934,50.527381740654796,48.908524802814476,48.618633317629694,47.929107508913866,46.027388376016596,45.701588351318804,45.779766829246995,41.92015662480999,41.26641075338064,42.059778306210085,45.40896589474834,43.68118833469489,48.69983132153125,46.00871258610274,48.846509023371475,46.72638179284366,46.323515035525325,42.16300577242541,43.35541357077812,39.57888303569093,42.81211154822688,41.46898048989323,44.93215578891266,43.807682811863046,43.71493396896745,42.901824471055335,41.39413919885914,41.20070944400675,37.54914388489437,40.72548002772184,38.64483565878053,35.858832554137216,37.0331303449912,33.087862474302185,31.566767033387297,30.127145252999405,27.40597130180125,27.89777853018383,24.81582021547525,26.895519109458622,24.341474891528254,28.293889606241216,30.24187609527838,27.450384564886196,26.805222402313827,22.412912992341845,23.20188366177106,24.580949980627906,23.962553933701688,27.331108420609254,28.081320277688523,30.257334717565563,34.45229664651432,31.893726656057492,36.39656375585507,34.66123455311011,37.67294038952362,31.77220381547459,29.94827265019851,26.2307961699882,24.472891376219774,21.81515444578537,24.285438470027163,20.379886487135664,22.487122706692887,25.415050967124476,25.65565410064896,29.07973060728149,31.289611746616654,29.00903123945279,31.566733251316737,32.78982584013341,32.84461160534038,35.8325319194732,37.486011110769994,42.36525287388665,43.8653300251016,43.59975976658036,42.60174577543896,39.21534130535507,39.24329780869301,37.89611151379169,36.358720194418694,32.799573806873475,34.51473702251905,29.658115441329077,34.01213480165313,31.208366483660967,26.183956541146816,30.307441648795525,29.20792060970802,29.0008693527392,26.06021996058628,29.067884759295307,27.519074018008254,32.217798647285704,34.64214613978661,37.235886915958716,39.99982522122284,39.77632370903711,44.6891248425583,42.066929200844214,42.687139635997895,38.82132143862037,37.09577327458706,38.567597191859676,38.73975975058203,35.31620855954912,37.619136924802916,36.83078749099155,39.05877304911176,34.26342005872527,36.50386398943794,35.15070925167085,36.27072947172725,34.84193638105778,33.86971202472141,35.09595845330138,35.433987258788214,32.05808809444791,35.431382955002086,34.22753912800162,35.435430376578,38.74376343802809,39.475186286029086,35.50441096246539,35.41660408963421,39.6465043543256,37.55693033470406,32.65797523140239,37.198735251058615,41.455476476647696,36.392399342028774,36.33203841338917,40.28780544221757,39.52026519683208,35.783613494039145,38.5070976597376,36.23033816757922,41.94571588430183,37.63179097879972,39.084353671106435,43.19710232599664,46.162275431746075,50.22539687424461,50.59998796065899,51.71878347290088,49.82158888130831,51.86078313454525,49.478475526949246,51.60957381113536,50.32985566190506,44.58142100608108,46.298795230646064,47.703505889160574,43.61397706161449,41.42886857497208,43.06631521545581,41.866376528638604,38.36940205641421,36.53682491486507,36.7305064359644,39.79708382669748,43.475375437439865,44.97992166006748,47.500699743668,51.42723190172217,48.87573844815894,44.63677957430681,48.15467645908428,49.524865663070564,44.623304321851634,43.94849722602595,47.6241645942526,46.58613119732328,43.241665314785955,47.425934899887736,49.0376920574358,45.337965260862276,45.5063213841128,48.99345455355177,46.666996637457686,48.66755077908391,46.85356974327445,49.15400829240775,48.25129597311444,42.72576030460879,44.44594021540157,45.320243699321544,42.47335639534616,39.565113306649195,44.04665306832256,42.640228220370645,37.42408881407493,38.025642243551545,41.95276438175959,39.70620939757186,35.86395851006714,32.506798366120115,34.09773471299955,30.673965347499095,34.476205091633,30.403281136793378,32.1828741085375,30.814801200122552,27.316553292685054,27.03011510039812,27.022185731861747,27.182569209235833,31.129951413724033,28.95050161199729,30.976656475509458,28.70002901884214,32.539952203278034,35.473979897936665,38.91564148275178,38.37239016510168,33.95378035664673,36.979693797390944,39.07913994115406,34.467640168354755,34.31199594990456,39.162490630063594,39.9697734822825,39.49577460171623,40.01762232943761,42.40483936735109],[37.444632023643415,35.088615309948935,32.63072640964985,28.609581187047564,29.523520433965246,31.76037765878078,30.877124261029728,35.09717472091874,33.85867124115874,31.71955365829436,34.41283180482707,38.33707040806879,34.603150262053916,31.792904799042596,35.97139701999641,37.03696206182799,32.83158559655735,34.58014933798121,32.3814906069927,35.35823626984362,35.943160788806345,38.64607502654735,37.47654955772833,34.496902508871486,33.92034891143034,31.26352625432924,31.95115764372237,30.42747176246548,34.36846061155247,37.27747893402719,40.30772069839342,42.1713903424993,46.08905617249484,47.469263799680455,44.53333314605303,40.725531806245705,41.30404885373408,37.650396980656495,35.74339316913579,39.900545038569476,34.91410606169398,36.78976479078217,40.6710104208892,38.60180317681616,38.04442664919844,36.230659335376565,39.72228370098947,41.16776472635163,38.00128155824392,41.6087852473792,44.599257357061326,45.87159986770262,47.56588156592573,43.155576557036824,48.70340591313525,49.94907910754856,45.48829465485982,46.47300040563136,50.853067713823975,48.78328240197372,45.13718891861048,47.81523431766808,47.66537168593644,46.847227531268246,43.61783572214286,42.1322735901274,38.87944968969607,38.652671867418924,34.996912300508946,35.77177765890068,33.45975346509268,35.22887544269309,38.457561883350955,39.49433103197094,41.343803974235996,46.847269003502,45.19819871086733,49.56846129759963,48.05058212307116,47.6857239252134,47.47738050590458,45.65576171129688,45.88129427420394,45.975455977254654,41.940052458325034,41.25711473060945,41.542890249904126,45.21851128493066,43.00989227337683,48.19653199932748,45.35357822473697,47.98930123427293,46.16961461671528,46.166287311135946,42.270546947554756,43.50768643533264,40.00157564740365,43.43608605201855,42.48776811377087,46.390039354447914,44.802931508082146,45.25359154809669,43.94752552289435,42.981761406106415,42.662454183449356,39.38455889574785,42.8292191640571,40.91557249650414,38.48908461847954,39.445776490216545,35.69094464385182,33.57891540818566,32.13553521419271,28.950187735841876,28.891531357674403,25.49694999417138,26.89789443618805,23.49229696776437,27.06842971432443,29.67616062092717,27.05036154318547,27.034527278279384,22.81773170837874,24.313060325310616,26.370083011405427,25.82885794473624,29.927504202375598,30.296915788723346,32.5962119676862,36.470702513769645,34.33422701934341,38.7318460866856,36.56271126332266,39.38129519779604,33.47555575276445,31.545729196439922,28.523288310534962,26.108383072312513,23.076831189754134,24.97476612598075,20.345683811969064,21.48778703095073,24.521619616744594,25.426504586667043,28.560083176652284,31.27406584334444,29.384894431148975,32.38363636865711,34.08161301456591,34.506021452986936,37.88096188457439,39.58028481560872,44.54498405624292,46.23424484711596,45.512978453081395,44.33811913124544,40.717110093174625,40.93944522000781,39.05649837644601,37.84213729526254,33.86460329291547,34.928206643095514,29.963662245630328,33.9997420498161,30.91516594758614,26.14476404136886,30.366014996431876,28.941245626611703,29.416274354254714,26.686894760789652,29.838350881401997,28.26984081950018,32.6533649028186,35.28654011719846,37.84853584927406,40.91348796977732,40.47420083821056,45.47122416883546,42.532917881584645,43.42893028693423,39.33117892416777,38.328754510769606,39.65892484529355,39.6260862014017,36.11410683144948,37.745934047547664,36.512527184527485,38.546634538425295,33.516773778952626,36.27109543931279,35.16304754970806,36.7198451176062,35.7156511886032,35.199035323499,36.79575638593865,37.5481425344075,34.49067110085781,38.10379263985079,37.34200115372454,38.46814340714682,42.08904053047451,42.75853971022878,38.79929846870396,39.0743685136246,43.351059964521106,41.24166562236027,36.61694257338405,41.240200167638434,45.38073682759208,40.41583440533672,40.56719015993847,44.5339496264037,43.6257727207237,40.064865483991476,42.950878450140635,40.690023424527894,46.397607205910795,42.12651025242396,43.41132642959168,47.53366058215115,50.40111464537896,54.558202370563784,54.76264413752794,55.70040340111626,53.624963825546594,55.465818905477164,52.87960674455129,54.90896129534885,53.870573722707064,48.10486636498319,49.52196353743589,50.94960332176271,47.05117680745799,44.683243166116945,46.00295668149716,45.05643771663065,41.77767633337416,39.44099539118488,40.045547550920155,42.6666238780145,46.44419137516742,48.22472622845317,50.52650903231649,54.59116853801463,51.80980596538774,47.73546648527424,51.55293062877739,52.74679958364022,47.80582424975477,47.469110416043065,51.19065881080303,50.116190531399596,46.95879010618071,51.26634901958525,52.86290081232647,49.202326264994994,49.570532819863416,53.07886919993913,50.766139034981634,52.61797709692063,50.6009881395815,52.92584909875454,52.288360814720825,46.718358728772166,48.227575745809695,49.304621259592714,46.578247132180636,43.43860086136967,47.88072355359708,46.73728269698412,41.52004891078561,41.80263488641761,45.80895195654519,43.79629517626988,39.989864426315094,36.782338850453975,38.42072625490028,35.163898366984384,39.03680328655157,34.95406813134465,36.5396756042375,35.103974758020875,31.80220692144327,31.373374619649137,31.357002886356828,31.229934098217093,35.03977289803764,32.60020732382906,34.23124410551577,31.784265213690617,36.04779022440434,38.668097059470355,42.23817337367963,41.376662358403685,37.1959232235235,40.56051202083764,42.40619725806212,37.480749471327755,37.76610695947308,42.56035463908549,43.070075138587654,42.329958406163534,42.6601463215848,44.91445443343954],[36.88926735808362,34.490869096594906,31.89662698555026,27.61164586427461,28.288371348836844,30.185323691137437,28.94077053971676,32.99486456692307,31.619800762232046,29.19337287650295,31.782841391661677,35.73907473483958,31.85750632121345,28.997480456477053,33.03418412912558,34.09336099759061,29.840556529521766,31.46203421146526,29.20156462543526,32.243540133087066,32.820878218503566,35.6213425889063,34.46557970189541,31.574519883268906,30.967717392955464,28.192809999642066,28.93420480307854,27.394206820514942,31.338446989084563,34.33681874275439,37.22477333858218,39.23225104719861,43.09973344393746,44.38625388633017,41.497568698163455,37.66249866073317,38.38018743150449,34.70156904876138,32.90358461468768,37.23061450347616,32.168688212137035,33.85522917985627,37.80655226862468,35.869121143355564,35.373162543202454,33.74414265074885,37.28507933328971,38.58174873453001,35.557078433703026,39.333502495894024,42.13465625850827,43.44171971133142,44.989978732027176,40.51764645025686,45.96117443659842,47.21484335040946,42.709180225239564,43.56062908104372,47.94855204696785,45.96211277453538,42.18471425905834,44.75347000082563,44.54450969653906,43.72599101537809,40.55663278835028,39.03852573747119,35.70502546915355,35.46695169237175,31.789369365583163,32.60280123053988,30.288393367270505,32.09222963526278,35.281643349430965,36.28809860544096,38.14592273872537,43.642041098538954,42.03123230531093,46.40437601184408,44.94356227999476,44.652367432219435,44.52706568558309,42.8384577229541,43.116549751406545,43.36011322274721,39.33792601880075,38.47598256331247,38.61021921629919,42.26567647323463,39.93223929621881,45.089951605528306,42.2001093657447,44.801751308203,43.0156880792338,43.07703714252342,39.24375282343148,40.51289246677506,37.08957316158707,40.54374103658734,39.728523039040944,43.79144933459481,42.05099935910417,42.75166681237119,41.30533523377267,40.61581543780543,40.43351570610844,37.30711049643811,40.95006640925969,39.27427245806361,36.96858102724777,37.647627634762905,33.93931899044214,31.503614541796786,29.936867817488228,26.58510408689826,26.211331030093866,22.75056847772679,23.928505372307566,20.38533018743921,23.8817545548802,26.546111639846405,23.953414844861282,24.088833273652394,19.956213027276462,21.699877824598083,24.047127799632356,23.67325218798734,28.132644270982613,28.42316893764753,30.89996575872324,34.69524112851633,33.016622963856406,37.39960407078118,35.183984718289295,37.68820823145085,31.856260317491607,29.635721964026587,27.052664688209084,24.234712502130105,20.97984866442649,22.561149438186714,17.748237544524546,18.797310765925054,21.61022345792398,22.59849723966821,25.718339709735865,28.416735094444643,26.61993994478181,29.689382221192176,31.582511915700362,32.088574527277196,35.65925366396212,37.31792988198393,42.319834059449,44.090354198274376,43.12680026602435,41.87858395941733,38.169772590092236,38.5250226393109,36.423650355165805,35.4611389499213,31.445388598246456,32.22397393929829,27.398793489632695,31.392863241846666,28.519296231405278,24.006415216180358,28.421358006447765,27.262482292628288,27.95453304953889,25.04923488394512,28.07651069352513,26.186541997817393,30.38352298876061,32.92429061622135,35.339271934081175,38.42665702076183,37.78729007123704,42.87521826079198,39.951667475215295,41.00394982728627,36.994318969929076,36.152248743340536,37.70188015933444,37.78791454249982,34.222507010060866,35.560312971779794,34.09050308058925,36.30282505586993,31.419294873864132,34.41931925347031,33.587149933714976,35.05773814977107,34.36014587057674,33.92072502366914,35.65147318182031,36.67473584362856,33.55716951636744,37.19280829617781,36.57136456892778,37.381408058760144,41.246980348454194,41.658612242431,37.67931363949126,38.362857404543014,42.5941111597371,40.306126591084606,36.013951232896524,40.750629188354324,44.632960557105385,39.703487672270214,40.13798303879948,44.091958196623885,42.944403931712344,39.62043575800367,42.76761445362759,40.60002142316931,46.29411227248186,42.37405389728872,43.35723091983558,47.44937088486333,50.39060886925216,54.641165276337404,54.78099495142299,55.42967011048934,53.25063686256533,54.94348449864345,52.127554207275814,54.28877422981841,53.49721412067439,47.60411296377085,48.86285968409166,50.576106618732595,46.802201215032774,44.2126243688353,45.48310754051543,44.94469882395378,41.67657095927352,38.94825851199198,39.49994822267069,41.691150730786816,45.52929905623515,47.30480928735681,49.36714035171874,53.43236865424843,50.41880860195116,46.516353900791536,50.469715319144676,51.421762888655444,46.43961740111473,46.38973061279062,50.05574733762728,48.888903063835386,45.92562305144937,50.380394367517795,51.886465869108015,48.234435606184974,48.87012939486117,52.43088257166963,50.21219674470596,51.978046016047685,49.81981898107738,52.30358360044686,51.872137963615025,46.22234160181826,47.701117173148496,49.06185206566833,46.391849685693465,43.1264064874025,47.75332429258181,46.88644416225807,41.57329654457465,41.75164563668453,46.021605643488456,44.23523515160623,40.37019480144573,37.08016831625195,39.13486927951636,35.890408173260965,39.58429346852217,35.26239174025034,36.47346006861169,34.77153982223678,31.836082506489582,31.34967257556647,31.612221198238135,31.20584891466212,34.75072157233868,31.849204820832977,33.27299432535839,30.508192373749033,34.91293555624024,37.27374213550138,40.9001200315832,39.73070285343031,35.75051981822782,39.35335441038502,40.947207062056115,35.805805211798635,36.43958534924736,41.15984679261996,41.42523863504793,40.50449175910616,40.71420500824426,42.89415012124402],[34.49377358523177,31.882569482108057,28.89851343274892,25.0026617473657,25.18945394224137,27.781885159390875,26.69036623282026,30.858085418720744,30.078223961668463,27.947104905359343,30.897266830992546,34.59841010735905,30.608370322407595,28.309131612120282,32.513796472721374,33.23429291202631,28.966093403759107,30.965841984300557,29.083888633247433,31.663310374310477,32.62008384321945,35.16048030769467,34.38913247443465,31.505855920100814,30.410013104186092,27.787836796839052,27.96843482198005,26.3805481384551,30.31715009588922,33.07073659515076,36.694325852140516,38.08361831699342,42.194023430621264,43.67055885348815,40.48369052158429,36.731489994041084,36.923070749420006,33.33097687609649,31.248104365905462,35.27887856706944,30.573227088492967,32.800673767015724,36.64310800136047,34.61893537126825,34.422728765657055,32.609076123313244,36.2238500113628,37.33878753093102,33.89835931278415,37.49836815798575,40.38898159205782,41.42923025466712,43.18342868056811,38.69166456763588,44.2474896006363,45.77015343894491,41.466970311757265,42.36632740132577,46.841734612516994,45.00940260952462,41.49295454630308,44.36621071612417,44.15005940285178,43.794533732078975,40.36592203060405,38.57125910384393,35.79551522487324,35.35461943060487,32.139445306758404,32.87857425100549,30.91419608505888,33.17931217769625,35.943315879543945,36.945227541927885,38.27133673565858,43.83373002207445,41.75413833730945,46.03390616636234,44.23053698236767,43.699742970960315,43.1502904077683,41.114487521890354,41.15729213810542,41.08970338214959,37.08843577665018,36.584911433150225,37.21215422710817,40.857619169790155,39.054088198534494,44.3376515726555,41.79863943191812,44.78509003814895,42.93356220086883,42.75049530620263,38.7870458857885,40.33069226475045,36.780003577530124,39.70165690728836,38.58311449832655,42.32291783515139,40.49729157696493,40.64066698783087,39.23706416469767,38.06015798465995,37.4976631921133,34.2364817062976,37.63215622875897,35.680184876140096,33.38251763193464,34.38311873107259,30.79343060012322,28.60016751031734,27.485789557640473,24.202775391977575,24.600762687388414,21.164639750089062,22.85558920822507,19.875302460322867,23.897474599771645,26.24021089679539,23.808620552708184,23.56523254328245,19.084822056178563,20.2762181882884,22.213085668197536,21.034055855063347,25.231858379240485,25.25749230472101,27.45561732798406,31.212192895100806,29.130434769416848,33.498104108300076,31.286560449385473,34.06074958530724,28.15680288505656,26.258824847116518,23.30492448900656,20.840276136393147,17.8861930923623,19.937843942107392,15.617295288187185,17.187540519332124,20.365249220065216,20.934268426355924,24.130900284913825,26.772475158330227,24.772839157017025,27.78521635159104,29.313036714223315,29.988717607939698,33.23705313083907,35.30507370537461,40.12290541009308,42.21335872876136,41.51418839094179,40.04340697992474,36.40047279635979,36.31277338657522,34.49822594542482,32.9158399208983,28.828503181331172,30.155428747517096,25.043178600610602,29.164719207236494,26.089632890555215,21.168572988869943,25.381970492133078,24.216247304997665,24.4487283082425,21.541092023392295,24.625055803246084,23.046172486930796,27.538872472005078,30.171203722907805,32.83536475233883,35.889500985090315,35.70173063270538,40.55038435665059,37.58347900896661,38.3368751314088,34.22384442505887,33.10032193119798,34.37819749404606,34.39318293451129,30.889604753783438,32.728094695669476,31.71260005707781,33.84153706176362,28.968700161762335,31.488472352158063,30.36451244077256,31.678715608778127,30.650528989232654,30.036474483569283,31.632921474825565,32.4919060900883,29.39523455342371,33.04392283429795,32.45222402967336,33.48627284364521,37.284475728973945,37.93440651413339,34.01815362186589,34.53177468732998,38.84319596840882,36.82208921210618,32.465936471425024,37.130922446853084,41.199741144859686,36.51850952240443,36.887054949854054,40.870518992915926,39.99712574486021,36.766812379727966,39.77731889041454,37.40922586783849,43.0433698469897,38.832515860618365,39.72030392007728,43.84104559080741,46.56265138514261,50.89795117453406,50.85331282500332,51.482112413855276,49.222044097185346,50.87385888750719,48.104588493142984,50.133232326379364,49.316174072800116,43.482630588205865,44.701637636716164,46.29765540910475,42.54065792001719,39.9738500727388,41.19761488336559,40.599561792695795,37.37425267286952,34.64720831560589,35.32072563526122,37.6260689618741,41.44746559553526,43.34043761434059,45.515055924888635,49.659456782913715,46.794243247302056,42.78501059085966,46.796430911729495,47.947885003515644,43.02368432130085,42.8753280154772,46.711197124072406,45.729463156347904,42.688895248151596,47.02028779696784,48.73345949081265,45.275128989953565,45.67675793850307,49.12606895163542,46.750570482163084,48.362002615151134,46.120949590407385,48.4425432570998,48.10785888305995,42.503844896505605,43.77262654801311,45.10601823235995,42.52917778699699,39.13086438896802,43.630260564986806,42.862472835090465,37.590388022354944,37.58090577421153,41.836815451433594,40.178634286665776,36.34768704244782,33.2168045562866,35.300707175694406,32.27246095116216,36.06983319726782,31.863643080352457,32.96016643293385,31.56808802574635,28.638272287832162,27.824736205235173,27.87529792366866,27.269500249334584,30.81076604526773,28.11018418879617,29.401791739199805,26.95517938547024,31.622431740445695,34.023682940820294,37.688289257017395,36.88627865124785,32.82096225513435,36.46174404663343,38.33938120411761,33.33266214053653,34.12585227970371,38.89431065218787,39.26638072027497,38.525278139836495,38.91799290448151,41.194415419079554],[38.67179210899607,36.078084154657894,33.11558269604584,29.539767522828132,29.70345416857555,32.654051124167765,31.678221980715573,35.85836803154115,35.17402419315151,32.99755995843318,35.910038818907694,39.61995836645789,35.492996862405384,33.20610772632141,37.24996464109066,37.91296076112873,33.51039445683736,35.170159035908256,32.79522485586147,35.279653874944714,35.783658121746264,38.00009862979207,36.90492866676003,33.70990848831223,33.06412877703094,30.889074456096644,31.47460487149962,30.380866587440245,34.51076805260097,37.50964661945972,41.08560327405587,42.64475607876906,46.74633087082864,47.96140468997223,44.72747974606021,40.82581050523368,41.13796566284245,37.11467146755072,34.842793623224765,38.40212317623816,33.513574565532835,35.85914622912793,39.47007817910711,37.04625148814319,36.38946019169935,34.21976406391332,37.61445815902325,39.26843471623975,35.85053418121364,39.1232676765902,42.42934979083784,43.66400935797863,45.63216209321921,41.43105767439616,47.22582089776767,48.33470609931877,43.99985707631031,45.40624120002329,49.70499682060568,47.39301072513977,44.16956655761874,47.26515027321169,47.41414143630167,46.6936752641317,43.133121227333376,41.764124539863396,39.079458134435264,39.086885382303336,35.84814633929754,36.97720360930681,34.86669893268258,36.940443786885616,39.84171619765238,40.47501669782133,42.14309969409488,47.46329695613826,45.33851420040711,49.7544910829902,47.88251493601659,47.10516814665229,46.80206432920719,44.57075924823138,45.02126094501622,44.662463359251944,40.514562430919305,40.3517047822545,40.8168416865942,44.782373702505815,42.837728279052776,48.32867436934727,45.81583903828036,48.74232311060935,47.12612009872217,47.17429261856638,43.36438380692294,44.96347784519782,41.53884912828246,44.477672508973775,43.47492986232295,47.285237224827675,45.24300545760023,45.39421519918536,43.755031097671676,42.57620290145595,41.59747433545587,38.47825839112961,41.7122904499146,39.509497776898336,37.40228925313944,38.69211232768165,35.29378666851905,33.145663624950714,32.32825266346748,28.954406808063226,29.436440108616818,25.889764037060296,27.302545701818666,23.845120573670187,27.63498724527821,30.456486092985802,28.19844326702983,28.274648357983942,23.87451611938704,25.249182274137112,27.26162564702048,25.810875950438017,29.954346131380838,29.70420805371993,31.626592611666943,35.11492228745119,32.65540831948505,36.856632695957956,34.33796944488406,37.44330171436788,31.51903345538239,30.104744274949212,27.121604440675856,24.837318195776902,22.060431106644607,24.03957212159798,19.55032040031278,20.266563150214818,23.85881342651401,24.88760047212346,27.743268422766214,30.849989818019782,29.09808176984422,32.358049013276286,33.942949705401496,34.86547263166691,38.06191603455927,40.29693269979432,45.04699242335943,47.24942183788145,46.55844178818335,44.99133619875153,41.30979910998662,41.106619245915425,39.19979019623806,37.42930777899866,33.05516464904546,34.27437736101019,28.886243598317712,32.69059813589422,29.01618409226325,23.9995654408637,27.82793258493692,25.914369290405254,26.387515936465974,24.08589496569097,27.434100011861627,26.47430632629645,30.885077930288283,33.83746191009994,36.70865029763814,39.970859226858316,39.98683172238239,44.6659615696431,41.387406287871954,42.08937832902043,37.64056314014183,36.93529390963768,37.63930040215376,37.241713740995976,33.81297474660839,35.52820412124642,34.55954858458107,36.15566216452636,30.88750851775085,33.38111174211517,32.01054558810251,33.85083244938751,32.691797969709896,32.38257546534444,34.06493019401984,34.833498007041605,32.21327624140634,35.99372867893284,35.61458369513761,37.11911139836654,40.75194220850081,41.80515794807199,37.99725974239793,38.14880160007349,42.54795654885083,40.87727576173407,36.27795031628786,40.77274553485118,45.154465489922416,40.6070615463697,40.704249560532936,44.698669796537786,44.14509144941878,40.74963221421305,43.44845324829781,40.90848467879307,46.51277987869689,41.7319524374356,42.91135679413013,47.07210132565715,49.5111300668404,53.79532073803549,53.63728485221266,54.53693704441217,52.26034323536147,53.93451778372297,51.36391367198163,53.03652258480856,52.059891088482615,46.47058230352423,47.63297435450944,48.75138000432636,45.01455855613337,42.657237191741515,43.62788969282539,42.606501714057636,39.61788582513904,37.07589592610213,38.25223927328676,40.82357743417451,44.59446012988885,46.77154913337668,49.12516248652426,53.38862286026346,50.72818504843283,46.6151593885382,50.677652507763504,52.082661245564324,47.24167781607671,46.93885029537317,50.91827998333283,50.100656127825815,46.935250537110534,51.090510921853756,52.974936568366836,49.6103279283369,49.71905534939827,53.05869973395013,50.519796660541175,52.075354772961894,49.85650706907338,51.89246292184025,51.51333329489908,46.0416292343952,47.095430760463366,48.1543489042936,45.643710144799606,42.22008957355669,46.3176505342031,45.390472280282424,40.319111379374846,40.128082412770645,43.99717633657609,42.245743821585165,38.578021357972396,35.78656441686805,37.238043778109514,34.421419746458895,38.57752025058286,34.79619923521415,36.279217872996206,35.335973595080205,32.02470879162449,31.111466193431337,30.650963135750608,30.203087595945725,34.00161975344053,31.900492910237254,33.111679014765144,31.13731979231391,35.937845446975544,38.43723231188722,42.09736678990894,41.57326788008259,37.44430999930679,40.99163254008645,43.07663341006385,38.196527518023885,38.878694859743135,43.683791332641924,44.17899224175066,43.51521581694058,43.95654987654498,46.23010635437012],[40.79690976809019,38.189285256721554,35.116852310376316,31.25131294892173,31.160591691770385,33.72001055273482,32.27507185429441,36.21180860710308,35.30673730671908,32.66252174344299,35.34942535216853,39.12821609431393,34.726471773253536,32.32642799602031,36.01695455926856,36.667735588360706,32.12645334507935,33.318823637530535,30.481292369443274,33.03543738066695,33.16471782578266,35.33502711700732,33.98263023202181,30.707129055033818,30.398616871824643,28.34291277914533,29.35690068316275,28.589144462351864,32.84336015175616,36.16134574733204,39.391061357294255,41.352617490961286,45.33014993370589,46.204352721599726,43.06041028994037,39.014663641665365,39.68856840757551,35.334615396084736,33.14398031771085,36.707215473449644,31.515764165430156,33.56838624797185,37.14995756555734,34.674510382406446,33.75497338973326,31.66404742397071,34.987031765445266,36.79952833844518,33.68203309181693,37.056688954451495,40.325049045148795,41.79239500332019,43.63336490187635,39.520363110681714,45.2952629660821,46.10077130450355,41.634010453644976,43.162153199552016,47.34373658231167,44.815962280743825,41.53843419541796,44.56537490225155,44.87035487747243,43.83247103951054,40.31814975807234,39.23219001621021,36.41843340292113,36.74639265133809,33.42754384201258,34.888479720254104,32.6561346191025,34.586049527231836,37.542021512834694,37.86850130916706,39.839263662360686,44.95169369532664,42.926878078471454,47.4431908191581,45.66717440430421,44.87702069124559,44.93036338378776,42.8323463929677,43.66487240013708,43.40278695388408,39.17338771678253,38.89387006108695,38.94556668551191,43.09026354330915,40.78608833180726,46.34370238662156,43.73224600889534,46.5050967634771,45.11138174986082,45.442555914296676,41.858160072536016,43.49848181983982,40.310181157175045,43.3465240506171,42.65737958045232,46.788339216444626,44.40048108248206,45.013633588784884,43.013402480567244,42.324639030010644,41.36517697528221,38.57598740688572,42.065797079103056,40.12353628579964,38.29583225156082,39.280126274946426,36.02750984623642,33.38265589451366,32.4908054115038,28.805205618744473,28.791741738089495,25.083695342785187,25.934779131684582,21.92512196492099,25.361493333959807,28.609520052779235,26.535946234080534,27.078088936191552,22.916434392302683,24.790459079277642,27.29407413933462,26.007757135166475,30.69331794664544,30.211793026440937,32.2966650694423,35.53400563537395,33.62488555872917,37.729430599337434,34.96070966996358,37.723979758419055,31.896413514545106,30.249104108091945,27.965390886186732,25.098751445894873,22.022732451592663,23.429618897211967,18.492761685282392,18.42761757440479,21.93602264298947,23.44994667012976,26.042578970558786,29.444008879067795,28.020201753767623,31.551501035591766,33.51052611440313,34.682382722821046,38.18255011804989,40.39596483303933,45.18967724408848,47.52411614662099,46.44434362396036,44.747894182239236,40.9067454212434,40.894729787914365,38.565705111727056,37.14549513686716,32.54174238380857,33.18290277506924,27.862206722998703,31.38789763736338,27.678596912295138,23.05341548922337,27.010500647664163,25.062995637234906,26.13446504144745,23.892209055792314,27.20391341470108,26.046083683598408,30.08631560637774,33.08784679595025,35.827917783352476,39.26483940059375,39.033370253195486,43.7852642823805,40.33818639659611,41.30029638473699,36.78869714657734,36.63356010195882,37.38424276345952,36.93922042109229,33.448541195116675,34.53625460836519,33.138954026091156,34.6987681672388,29.392954914228735,32.372010134280295,31.353916676243205,33.41115288242292,32.73281614081269,32.757558628806215,34.731806319549605,35.91029577001984,33.44346887705602,37.333268187220575,37.26874701327555,38.50845587670975,42.4384320264472,43.27941903235624,39.476602357808886,40.068636055834354,44.441439057429825,42.63588557352156,38.38618830223143,42.98512095905125,47.12947159572973,42.63779957365424,43.00889481245661,46.9945890351031,46.20906520847874,43.03010240568871,45.971524728558585,43.51512495070674,49.11211000884857,44.60160595036652,45.52462155097648,49.66381617090368,52.12083958158096,56.49847608417882,56.23274752669093,56.860812804609814,54.441073218881456,55.92155087395846,53.10457657166973,54.813536936996236,54.122097438188746,48.45361347355678,49.36191174980366,50.680704096325215,47.13332382867377,44.548290985507286,45.324276758205315,44.70933649070676,41.84525674850623,38.81017333483206,40.14043697578866,42.190612059359154,46.03541842836837,48.336127603249615,50.411746311164634,54.731086328684576,51.805429501161896,47.90412798387933,52.189450897792995,53.33975109796861,48.46430119749212,48.514612640711036,52.46322952146572,51.56213569851687,48.618294531528036,52.924569567446426,54.73005985216363,51.3817134399404,51.76513827668669,55.1518649890845,52.69150528176538,54.13116625793863,51.734613437283194,53.88928563543411,53.762842873676036,48.22535439671822,49.17286682195977,50.50953698262227,48.08828699895848,44.49527253301626,48.6928814340492,48.061866398382946,42.935397025906454,42.54917893167532,46.61637431528608,45.11373254916051,41.42891040084047,38.63660636717068,40.37387732521645,37.6115611394505,41.664155228336064,37.712835912352524,38.89197976677783,37.72301238503333,34.718355138963624,33.75193573965019,33.49309757066166,32.77260428820642,36.32943630731464,33.80969745747364,34.71161869252886,32.449919798193896,37.49451077420039,39.671893832375034,43.41256275865436,42.52698547208066,38.65830363536064,42.49555814076633,44.28578837163419,39.137172663316456,40.22347525892843,44.942137282598175,45.14240478394423,44.23594804534422,44.50180806991303,46.65379245154922],[38.521769425474325,35.770918057102826,32.345115577211935,28.477729371119228,27.77423440531781,30.322862828426782,28.53746366300396,32.27733074288311,31.616755931194994,28.829186406357103,31.598124140054935,35.202646875917935,30.557220641863093,28.522118867616232,32.10026759581682,32.48765235054389,27.883448760102244,29.155499655111257,26.499961195987815,28.778162941423396,29.181379686921048,31.287567928273912,30.251438435508092,27.089459039279696,26.341994011225637,24.243831858210953,24.911048944985286,24.12719482114377,28.399003272245974,31.669306141849027,35.24253762884175,36.943012948051106,41.02041193423455,41.90651253730093,38.60963265665249,34.58559227591191,35.06196639723446,30.71203530579355,28.4381741867798,32.01697652214374,26.94593847389332,29.173721455249275,32.78847468796649,30.411286050107364,29.810658125500677,27.822296927244775,31.30557956374281,32.764935950078105,29.50104760932663,33.01167012213255,36.099984961957674,37.41772079492801,39.2221523150507,34.97982200800208,40.72552951261249,41.75426319189493,37.356557860518954,38.73928515610044,43.017567603520305,40.72253157822041,37.44138077159474,40.556587764719005,40.76913431067776,40.08744244792339,36.450696089208876,35.100012653257174,32.59945793994315,32.76165448541542,29.772075948153763,31.234619288068405,29.269510686848967,31.5797118948389,34.15435231718024,34.4386226539523,36.01673955715603,41.165504848872835,38.84454724328918,43.296245483001414,41.342903275985144,40.473823946113576,40.32289182188032,38.14077503574954,38.88013623846177,38.589150604755964,34.37597314608863,34.12304006806516,34.32922106745556,38.455797638988884,36.371027288898,41.98875324671556,39.57356967761837,42.58224714173783,41.18225718681558,41.41848929418197,37.833694533381085,39.70533659512303,36.55048077130478,39.217673306993724,38.492516393584026,42.5863068630261,39.945029149686114,40.493648807777475,38.33429978288987,37.675101733149575,36.61909197080097,33.959097319582106,37.53054908101234,35.72039374113264,34.08214631438869,34.91500917970761,31.843782733780035,28.940607608395474,28.23441712916547,24.387536452268357,24.498669028275646,20.734379759106528,21.59269418669241,17.769885556769825,21.48886511959487,24.5963856171391,22.735945659152687,23.234348189409033,19.011246453265425,20.82642236201056,23.410594313660138,21.761494615965496,26.70260958278356,25.89649276356419,27.992197742556936,31.042872058063903,29.492538447792235,33.53369703988809,30.699216289617194,33.21331310346632,27.451688670536164,25.65395218151423,23.788770382533087,20.600994361676996,17.44542781296978,18.663899782139794,13.762294727113565,13.761463360272836,17.361538767676375,18.750811067311627,21.34706754450336,24.753201641866372,23.344312089620352,26.95955966314381,28.926035552974888,30.35154069911108,33.86070400032807,36.29451510173838,40.97512994979983,43.61431430867068,42.41689094518052,40.48117377383061,36.59118428551219,36.44018594887836,34.024192980993085,32.50069635644929,27.777668287766268,28.399993680347055,23.025327909502387,26.56794323427203,22.93996607780596,18.338160337622394,22.458788896043227,20.8556665194811,21.949181354783313,19.46474319937393,22.665046815765976,21.29920027393094,25.281058295205007,28.253870955598547,30.986371948180356,34.446291306031846,34.27510658499087,38.97000511032479,35.498757659450035,36.46188621133795,31.974121566400928,31.86806444406103,32.70764295582987,32.36506724937743,28.833827431501557,29.857373383612057,28.447598247900533,30.202846234964095,25.061622594082703,28.06900978933057,27.230460145388918,29.068790423350592,28.59719668968096,28.621371057965238,30.697436269727874,32.14073158837546,29.630982089369212,33.53919280501558,33.68941393147171,34.656321543904326,38.82958609194125,39.49013763957784,35.736278883546845,36.73279742882383,41.060302471993495,39.21732207894306,35.385469122375795,40.02902043506063,43.93567224477912,39.68095604344262,40.34894152659335,44.30034503017567,43.40093687481365,40.58966013023185,43.730037823068834,41.28978476035852,46.78813443249071,42.56881792822687,43.06497940650918,47.152240742839,49.558282336152,54.07511963168593,53.62878477010771,53.8875241021154,51.30558755032012,52.57368685746678,49.51155543052385,51.30265368948511,50.90672489850805,45.140012145676245,45.82230125912758,47.43118308649314,44.06578470260469,41.22808339609335,41.912255029047756,41.790445987400936,38.979309147366706,35.46160120448671,36.790406511979356,38.34004517675423,42.23323533101785,44.58983190409951,46.42226723977496,50.773339632172494,47.66228994418738,43.92825437767903,48.39910313547757,49.368694740469785,44.50430649357604,44.8509991987566,48.81363393600968,47.92098048341078,45.18634304152684,49.56705393522871,51.37915617871724,48.182040999557856,48.741361908913674,52.1028531065549,49.677093097272994,50.911511193438415,48.305858684558025,50.54744904766261,50.73133251356203,45.157943693762945,45.93593718723599,47.59934029048438,45.31727460776157,41.51817952727825,45.84361204345843,45.61475970323781,40.43242536559889,39.813605823521314,44.1753149010362,43.0343467603723,39.32404652109491,36.5448647833944,38.79180936587265,36.18632152651116,40.03399700939057,35.904729375260175,36.55732316229499,35.26896912120695,32.74274864091337,31.53320736288111,31.489817694517296,30.323858079924722,33.49780034630158,30.562283635355445,31.088779414733033,28.66205985082939,34.007859124751036,35.855281478504274,39.65859557988884,38.63540934348539,35.0042997477591,39.12089553764305,40.76673734275686,35.4918013493464,37.09465326135662,41.70431615938556,41.676055405675,40.673098414986896,40.90609062052526,43.007551535880786],[38.80742433763724,35.96664073691499,32.416214495180085,29.13802345136718,28.32033000677363,31.695438220636117,30.377692021260454,34.324917813816924,34.16139770472501,31.82368305146179,34.87049460875309,38.29804799915457,33.740256290834424,32.05896468479288,35.83420404238506,36.0390293574752,31.492704996657622,33.03453957036423,30.59813730011262,32.51203078467522,33.04185628772216,34.79522326773622,33.913153595794185,30.642334397240006,29.754825030986016,28.008769108473516,28.366095343565497,27.677242381955885,31.90835061966205,34.95552100050432,39.04847852152281,40.27618181940391,44.518375489190234,45.54743139129105,42.03947016461162,38.09326726598236,38.136688479132296,33.81601334275397,31.239259182140113,34.265332182109745,29.54212752365122,32.30813477677808,35.666539751577005,33.02053828564647,32.43043254276412,30.04783810811056,33.411736208310856,35.04879797659959,31.401085899135026,34.45548973536511,37.901412230684784,39.0478905749512,41.19212279961461,37.13332595557876,43.07141025452209,44.14340883621835,39.96005710533915,41.63550564559399,45.874960199762405,43.482579209371075,40.61645163005954,44.059033349059845,44.41366554252435,43.927409151038,40.07801030048815,38.709302200238604,36.65840136330034,36.802506939726,34.095893579852465,35.52442538754716,33.71912537319636,36.17024037687522,38.59876174059742,38.85554111434136,40.19710480453581,45.314526889069356,42.693067978142714,47.08651748487665,44.868434423203986,43.72511335062118,43.288480994597904,40.716709147719264,41.353889416408755,40.62735255712021,36.41334521198915,36.67910007552591,37.310605610394,41.48867097133565,39.84020196138745,45.56459784148072,43.42313002471609,46.654704094193576,45.23794324807088,45.31712379200805,41.641868639190136,43.63262548302484,40.356283049684095,42.70949028257533,41.70667789383695,45.45356093251168,42.8742294954303,42.83553971656415,40.793888724023404,39.55658266391383,37.999763529185735,35.16606963024408,38.30205167373375,36.0016533983014,34.336574774438084,35.73983048285064,32.78828835332942,30.39393023264125,30.18012447446621,26.567190893945984,27.464061066259546,23.824170529076774,25.145900513522022,21.787003658233424,25.733429176910406,28.633346707566023,26.837846724512193,27.019358844125843,22.58979137804477,23.869896624577834,25.920011415039536,23.61249766636561,27.95818625334957,26.982979929100303,28.6064837028374,31.58657069155756,29.19008136053323,33.14574139517307,30.248021890670802,33.37167999855187,27.519816811169363,26.43819013229853,23.887765997379535,21.465332980384826,18.888444211341653,20.716561819784584,16.476415316030273,16.750727797438397,20.74429427796014,21.829735970464256,24.343893937761315,27.75392759537762,26.20059483255434,29.697144727566684,31.229127523675256,32.71659986079776,35.79713839037954,38.54709032303147,43.04124332457954,45.81997896136004,45.014596209866376,43.0006281120208,39.246065259832555,38.66932150155305,36.64090275837585,34.44475645872074,29.69036491912845,30.92602493194337,25.24436775428715,28.761808382463254,24.659577820753512,19.551148604240378,23.073528620774145,20.90307786956187,21.476638586403393,19.46123205996001,22.901920279661823,22.36369101232188,26.657509763046445,29.846622869951744,32.925862047715654,36.36294978212812,36.74386553938744,41.107073831686215,37.53334241874356,38.11300895937187,33.404870496462955,33.075180073357885,33.3023660529445,32.643974243071455,29.268492448090335,30.908908855598643,30.108012409591797,31.416931434868427,26.061983794556276,28.394403912532635,26.95112848518735,28.952813729879008,27.863621459935874,27.803607697373383,29.681211608800684,30.714011000711704,28.48488168166752,32.43298173201988,32.5789552781247,34.16282281626974,38.003804519227074,39.202670113301664,35.565451669723366,35.96295016716222,40.404471907135665,39.03086472349925,34.813512465145635,39.23542854043366,43.58085947343347,39.530879677773804,39.83271059535344,43.80541251523695,43.395148481432685,40.414276282639946,43.1429488950844,40.439849633857214,45.87837687053476,40.987401594097584,41.74670663559943,45.88197077931958,47.959335735422904,52.43920652220696,51.863115962604525,52.432215450414716,49.868528248700365,51.22925169602692,48.46533226021582,49.91100723547204,49.2384314806038,43.71883386033882,44.47385033801501,45.5723970486624,42.131765853754516,39.57219171148081,40.15231953935296,39.484230559601805,36.801903530733064,33.666693273784055,35.34975806263502,37.442558403548574,41.24470879784541,43.79805409824765,45.97590648358888,50.41828499122245,47.69032385666027,43.70688491613311,48.111568237478146,49.511244012206966,44.765640914744665,44.74645099786229,48.91216258999578,48.281119473702766,45.29788287107325,49.400401926921155,51.48347281979628,48.449480908938455,48.53245505033627,51.729114992546236,49.066759037266515,50.23733936982248,47.699402147963355,49.58665765322571,49.66093690007542,44.24439710912347,44.809536417848555,46.12258854142659,43.896692001872346,40.09220533847822,44.011061579200245,43.58627704313188,38.597388490819654,37.83435063103363,41.82284181186522,40.58107623569766,37.01532021580624,34.570979271888945,36.27802589156096,33.933300963377285,38.1147272550641,34.42496707628012,35.41029100573732,34.71535589118276,31.79578303432208,30.359932203631413,29.751007750829597,28.69922532704805,32.1600050130321,29.986603354326412,30.5512870423347,28.817377708235153,34.23497415366349,36.356230106810834,40.11792365614438,39.69999352816961,35.834123663445446,39.723688080611,41.828630979872244,36.88587377875093,38.24332868238059,42.94564334579365,43.23268575716977,42.524743422089706,42.991624211945066,45.214840092510556],[41.86886032638903,39.09698131858187,35.70237357037225,32.529790544069904,31.950754313968403,35.413537009407335,34.24337101218112,38.255776513071474,38.010920242120164,35.67872399166224,38.66890510884004,42.17610457822731,37.64147711226227,35.81001945271886,39.552994472700554,39.83642335653413,35.25349493186503,36.605395369626414,33.88353416961944,35.86256476552726,36.08060011436236,37.70633798582935,36.55891625201499,33.123280787657535,32.6156782990404,31.089377416460966,31.767185994254014,31.298919026968555,35.59701513794205,38.775450782155275,42.69420128033298,44.1115696048477,48.30367064304185,49.19948081395244,45.73643692080964,41.71772798076611,41.90857583442939,37.40059581380005,34.79716363049655,37.6039370338044,32.765077458999365,35.47653536629528,38.70174936718379,35.85140433413068,34.92064150968953,32.35594799623366,35.51961858422235,37.54150687558407,34.00542832895125,36.831797255542675,40.518219156088044,41.81671386751396,44.058491939085144,40.21105004072045,46.238567700444385,47.014132781173615,42.80387039282104,44.76583217657349,48.86698657988211,46.16375076094178,43.44664822785414,46.94627269497935,47.50704663515487,46.71769205592837,42.86365553312749,41.798909250322914,39.67599694117981,40.08558693093913,37.25149474075419,38.851443446668654,36.88637965855986,39.12282896660223,41.740674329846584,41.84280969807293,43.47841026806977,48.46225543451653,45.93345784599117,50.40699607065582,48.23024050842866,47.007341988720086,46.775640181769475,44.16585669868985,45.0370226737737,44.20459644687701,39.936773440999595,40.32647436427367,40.80000885426645,45.119889518796406,43.31209527367887,49.09689923243729,46.89351366784927,50.00485562315859,48.703025120837914,48.927712275134695,45.327337538474765,47.2591972334796,44.030327463454064,46.53459096339796,45.609327837610486,49.418149053706564,46.827851159449786,46.84694615815514,44.75107637606253,43.538452371574365,41.859470292054546,39.07050890402733,42.11159327632423,39.68876417686763,38.05556655147603,39.602618922959174,36.67510332450706,34.374680017503515,34.17948699873321,30.58530743530874,31.40637801555978,27.73837140601611,28.91360568918986,25.26897862145148,28.998504372440028,32.15225640743818,30.34724200086751,30.68819090223579,26.316293627771863,27.72928945396046,29.81857498470252,27.609729873600966,31.861739759176626,30.920247480588948,32.4459063380224,35.35672879257281,32.73137629001077,36.59631119286115,33.60906416153257,36.91242760002098,31.09843043512399,30.255548024053514,27.61596242634719,25.365278196136252,22.86922835307981,24.66309661966287,20.333865920114324,20.206799474037503,24.247479457252712,25.586516026643757,27.942821314613052,31.52979618488965,30.093858561265648,33.65804935620586,35.236629329789274,36.725564171870474,39.80297537564579,42.52212734651392,47.034844609665925,49.747160425482015,48.96788351367587,46.999550857883015,43.24011404621447,42.68753537252318,40.63065352437845,38.436880834631836,33.62593946166189,34.770712199745596,29.04995094176545,32.38769395602746,28.053564654005296,23.02813343364387,26.273878427441378,23.678134232466455,24.399995146816188,22.80338886639963,26.313132792386483,26.084644241727638,30.27565421913523,33.576432383718064,36.70759123522107,40.215424790869854,40.63349216047766,44.94044734600221,41.248410869433485,41.82299002641963,36.98877048029309,36.85895784384959,36.815425280928174,35.939440565680144,32.646356537671984,34.18593870924256,33.3821516271248,34.362327652780195,28.82430234359445,31.13995300254674,29.561814507806403,31.883677604081548,30.710812630016978,30.8197578423197,32.68984031236365,33.59174642657497,31.63405910236131,35.58706216028471,35.75740144427857,37.614233530077506,41.27843387333829,42.69862899925418,39.10746599397342,39.22021271046977,43.688059472703735,42.47342733364767,38.0330275652462,42.350053527793484,46.888053979020924,42.818198212964774,42.90686671922719,46.88348311305185,46.63980407524055,43.467563734985774,45.99553808570983,43.22673886171218,48.66992170757688,43.451220836080424,44.48464545786754,48.63738620057305,50.59731152541503,54.98685469055845,54.42128807227119,55.23827538520596,52.72956941017255,54.16357822491172,51.58361932384729,52.82683549222516,51.9869316185882,46.64596625462886,47.44169060536293,48.20960222423456,44.744881980638134,42.386420450113924,42.86685827122934,41.83745566620343,39.28014051238059,36.42278251318006,38.323821354775404,40.68015248639013,44.41636827864275,47.06696406412997,49.390314591940786,53.857642191591694,51.28683710391352,47.22405003770515,51.57335711359062,53.13394585846577,48.43406204172314,48.254782616843926,52.46179000839913,51.89471995496529,48.798243047825615,52.79427519038548,54.94017822481877,51.896329959036166,51.80124621896883,54.95421238566596,52.21776171421956,53.4308820778495,50.981227949919806,52.706463870935856,52.657517975811636,47.33222537617194,47.85841221038291,48.93146788361995,46.699256652940925,42.97536827886643,46.64311545372121,46.011754554324455,41.16552890884301,40.4049592963974,44.08032494034765,42.680953493704614,39.22780220695178,36.95206641948343,38.1778752024804,35.893818968509684,40.278897612875255,36.857402491882794,38.18863893006334,37.71405930332279,34.484449744663905,33.11501964086435,32.22948020168935,31.42031418520507,35.09245567519698,33.32096372206284,33.98641251465072,32.49090268280838,37.81575678498557,40.08008336084736,43.80614296927057,43.53107047485562,39.57210319480961,43.32133951822182,45.54292351616732,40.68832081951558,41.82038169478715,46.57089852131713,46.97621083378735,46.32166257122452,46.8109253111282,49.04730769017585],[39.3101980604606,36.535616167761056,33.191176569103824,30.345566493348105,29.89225814706895,33.71596215812376,32.947834964859354,37.12782291332589,37.12858142518699,35.22603098894348,38.41280046526311,41.81432124600531,37.53388301106655,35.85799628209395,39.89285808946426,40.16271272789923,35.73147009636922,37.52743997368832,35.28234507620995,37.19231478665369,37.81340617166708,39.52373932633857,38.66833642331207,35.363113066209245,34.47247981443496,32.77222800908268,33.00361298002534,32.19181124136468,36.33918707078495,39.18813445429262,43.4400572649285,44.44842230457797,48.7506009792903,49.980220848788996,46.43500014214241,42.57595933431207,42.40730292882222,38.26520723986092,35.61485922352911,38.4618215375516,33.95919505347998,36.91673029276748,40.19428521541418,37.46715791469852,36.871042558580434,34.313540763764315,37.57979267577131,39.33451280265265,35.523020847969434,38.30334772161463,41.932173477598546,42.96787768497266,45.287871903132185,41.32199008229488,47.31336349710783,48.44409903586181,44.37618992227242,46.13862879162649,50.36953368985078,47.955490539864485,45.247295794533535,48.77538218320894,49.13773647159773,48.70670148771032,44.82771778331539,43.43503643646928,41.43252421507243,41.49291852361289,38.7558652297757,40.023669583271655,38.20143683543873,40.60571786333994,43.132377254454134,43.540625355350436,44.84314746014557,50.03659831998913,47.40685930615222,51.762656282999444,49.49716676552864,48.31340058308358,47.70862534975357,44.998827112068064,45.45627218295466,44.561469313047446,40.40639837084271,40.870646300832206,41.75564256938078,45.85895367429371,44.418620303286644,50.11092867651293,48.014536137231524,51.28518216659964,49.760320653627986,49.69908261326496,45.89141231817553,47.79990250219384,44.36318342205516,46.72881544959656,45.50792803456569,48.99553073301933,46.719983265174655,46.29581102256431,44.547156876231405,42.87561867309411,41.19791988003723,38.10883672850509,40.898007561160746,38.253880423967885,36.36942486624094,38.18551349738428,35.15496612794223,33.321255263654265,33.22037333951884,29.937628109126337,31.223808412016268,27.739123654639506,29.419619656626836,26.33034018023463,30.376779868405894,33.09859212420126,31.14521363132431,31.057893127631495,26.510671574388173,27.4525924714193,29.077628690154295,26.69048564145789,30.407411846178125,29.651011856577984,31.0045597455058,34.12715906530167,31.017515320182405,34.956824346417356,32.244960179765634,35.833671535814446,29.966800067766542,29.329810500056087,26.061836358886595,24.385212483973987,22.213785599861875,24.511429994513474,20.68585798830677,21.331085897950043,25.353831164994375,26.200218880981097,28.80457038362719,32.05172488321073,30.309216525282356,33.585695435898195,34.799319604962605,36.063240992485504,38.833366666507295,41.58362088955515,46.01714349446664,48.63360304234043,48.20714899208793,46.34107416808297,42.7455183584391,42.00232470456639,40.349873685524685,37.83410569952727,33.27891232781163,34.96849941790559,29.247401252201048,32.85093945598315,28.65595417201617,23.322236624462796,26.45567588843049,24.039796962060024,24.107960601446155,22.392709641291162,25.867804563504595,25.777774960146857,30.291374735610063,33.48882476953659,36.707889055891734,40.01441446773854,40.65679343594043,44.88274648813962,41.39199101230871,41.71835125998812,37.002107393120035,36.30739464014004,36.26756716064536,35.4885146017996,32.267696695020256,34.427505612300955,34.037520249709104,35.12929514362552,29.7353731649964,31.55919040358596,29.68148197808962,31.685093292701275,30.05323332425529,29.786108734853137,31.34472649573195,31.847684296316288,29.7128682658018,33.53700814099125,33.41068479426373,35.48817192121915,38.87794603560103,40.476945555659874,36.90245229217793,36.63690396183713,41.111412899423115,40.03273982240196,35.33451982571384,39.53616005061944,44.258446877472984,40.196026921459165,40.06586607921985,44.03209555035307,44.00270969554849,40.703171237516656,43.01516960891016,40.16815771629401,45.582363971851315,40.1493605295735,41.353958825022225,45.51272739641304,47.43956395498405,51.76118322035227,51.26919977465397,52.28869769175323,49.89754360928943,51.49006359761469,49.116366630741304,50.34615418168756,49.26834396292877,43.98886557386621,45.00806349864058,45.63142195630935,42.00025036769584,39.83114890444683,40.50614098338774,39.14428208800383,36.45890835993158,34.03634382694184,35.768085800033155,38.57361072194123,42.2351449011545,44.75624554879998,47.314017392383654,51.71765283378135,49.382896813881224,45.14628462893534,49.29080436107155,51.06695881553958,46.41395344037584,45.93472056876916,50.16226066065388,49.67925459143363,46.4106226200134,50.25984154760362,52.47953803204041,49.455352490028005,49.121809172969314,52.21605495253058,49.41272278444425,50.70101311984943,48.395715404625776,50.01747004921777,49.77047422258654,44.51264383397351,45.11367526856295,45.96492002014929,43.67078730770937,40.082816125601305,43.66979494628628,42.8119993025728,38.014320125108746,37.406072937257576,40.934469495847715,39.34914888778239,35.907827636539416,33.648122844793235,34.67373375117076,32.38489468285156,36.83975594920966,33.57617694619021,35.105064602586054,34.855285551611814,31.426704874477092,30.047388912754702,28.974496792191292,28.349152118448664,32.19158570292536,30.79467851171302,31.699139185490385,30.486207493704377,35.59016491215141,38.10384780079481,41.743345141565946,41.8016494575319,37.649382986991114,41.14447691016473,43.61934079763929,39.02905182827501,39.858076320392456,44.646641426583614,45.29398132249139,44.86026254336779,45.507451772439275,47.841834936361806],[39.8899209806385,37.31506056083812,34.43218848475802,31.508442374905812,31.761153972472325,35.3719195456848,34.9180668356527,39.2654128175161,38.96506114854632,37.23333412427543,40.346977165971886,43.915034345100736,39.94351493246246,37.896944629453095,42.11973388592434,42.6797353240464,38.345383793343174,40.227206564036365,38.01336264582419,40.26723433754473,40.85803130909306,42.83267083215189,41.82684932558975,38.53760647566682,37.818833174796225,35.883990956983745,36.264394767792794,35.22025207633496,39.31552657481737,42.128405860824714,46.079374220730394,47.27540673457142,51.498264539693665,52.8593059156605,49.47623784601354,45.642681123900815,45.62280376181361,41.65412837751892,39.1675345849129,42.31164644678077,37.69965885787883,40.43237686032458,43.85505485442026,41.225560196335685,40.557402979712926,38.08600672897452,41.358309093007264,43.173290677210275,39.481184705755574,42.36225002485463,45.95509070826537,47.050940763724945,49.29483164368244,45.25664081461364,51.19062026791534,52.32819077177898,48.16588921482277,49.803580759033196,54.06896889156322,51.66855564985823,48.76587533962385,52.1063967962837,52.36340423876804,51.76889711428601,48.05309829984462,46.68073134511268,44.29335845737993,44.285580684034905,41.21592919883092,42.30068430039616,40.28350322089745,42.43704309572648,45.271818370828754,45.9128543075761,47.431634374157284,52.74986510068643,50.42528183146858,54.80363990830215,52.74329053876417,51.76863870722639,51.24149418391035,48.71437680845432,49.05760413382675,48.36003780139559,44.23649578460037,44.47117924014542,45.271920639140134,49.25945883293251,47.64764246663088,53.20925379933972,50.88444788188704,53.9675898029961,52.31488633520163,52.227129629265754,48.32458804759617,49.977238214129514,46.433422978591786,49.16822481078243,47.922238810398035,51.412866749402255,49.513420283916,49.15718087656864,47.692304082287954,46.00204190860092,44.65924925771657,41.364889961896566,44.164327989343604,41.53194862238823,39.34583083106725,41.1509741024748,37.837695471110436,36.23847118832962,35.78353887319325,32.690862538556395,33.76881425483482,30.355187350581257,32.11352672207407,28.966843924335084,32.92358618183218,35.60467319913003,33.36597860857089,33.19748974078367,28.66924235455633,29.63166832999968,31.176376805662038,29.303908495205246,32.802372122134855,32.52315548188282,34.020794873654,37.464868667510494,34.22847118907534,38.30165593699293,35.852699378708834,39.48453457845983,33.580939353625126,32.79561131504061,29.196175068513732,27.68342170648758,25.425986724373004,27.84176801323754,23.867132416628387,24.74458221904259,28.584388901905953,29.407768849221753,32.2158102869912,35.30150173594333,33.429210314982214,36.55524829111481,37.76947430433822,38.662547533457186,41.45859575595498,43.8829132657793,48.46173335669636,50.680646985787405,50.390705561693096,48.83152398431251,45.30648963646604,44.77280150432864,43.242711771977405,40.94757390053002,36.63769594657633,38.35821977114713,32.786258889831075,36.56764538704531,32.58204288673232,27.264946981698156,30.563552845098343,28.251162092023733,28.253180158724316,26.403438048015893,29.835302111515386,29.537008249356788,34.14273622695743,37.21609507557931,40.33412681179742,43.53211694348402,43.98438985823657,48.39062662180676,45.075077596227885,45.44977611114169,40.872367439659165,39.92547159512291,40.13401784712603,39.48904102407189,36.25159861182182,38.494775398657836,38.03273641353722,39.258573377098394,33.88082832962437,35.77592664659096,33.90216718255047,35.83308148120186,34.11085781752633,33.68343785636484,35.08358584148073,35.349457367730544,33.00455633417587,36.68294266361095,36.179628673866816,38.28320608373238,41.441425382121444,43.016543734542324,39.35964902022814,38.809458397818226,43.23988376567044,42.03310609987111,37.011268323968004,41.18655794892397,45.99280444997019,41.61810341464642,41.253955203753186,45.21218540334356,45.17595624618742,41.54033482701591,43.7165640283234,40.961065767156946,46.452601616704165,40.98581295374462,42.58154181521453,46.741615969235575,48.865542904931345,52.99943780833352,52.809247874432685,54.15396682092435,52.00179601271578,53.84623979898932,51.69084019161018,53.01507998095455,51.65584100302065,46.40678147208859,47.739258835080584,48.270452237040054,44.42482406760419,42.4824816836169,43.42175594111215,41.69408658215872,38.829258967528176,36.95264903509846,38.35874550211865,41.58770402469007,45.18898119626404,47.45586806380751,50.19166134500392,54.46303776347061,52.25266884770551,47.89640441011796,51.759884961520456,53.609910066053416,48.924515471481016,48.17466602355305,52.28134501409818,51.70857625803761,48.27183022907141,52.08874729533405,54.20064718031164,50.969829234358386,50.561243104129304,53.71659701950808,50.972598159254524,52.538092781824155,50.50160709754834,52.15693830457495,51.53916778931988,46.30273816817449,47.23086951382466,47.80599617304843,45.31759760422576,42.05181832966675,45.66101493430421,44.36820862716553,39.59306330349531,39.407225457134814,42.72209922256526,40.717165431519824,37.265242116628734,34.83472975755884,35.49429185801611,32.91189265823209,37.387098941483565,34.20168942305105,36.19654788327814,35.887597113221034,32.098603429656144,31.103387227650952,30.029733405458256,29.923298023983367,34.03699227532789,32.856446172002066,34.23234271138217,32.96227437822627,37.5893943169181,40.406156752143175,43.94449384571412,44.02109485799645,39.66429310619787,42.84672427210572,45.372833544743,40.906827974160386,41.191907549647134,46.04547409223469,46.900680616246305,46.549724646682364,47.21110422073912,49.59238637664407],[36.798245105830986,34.38656803454706,31.907930603737125,28.851719989041626,29.74967056899849,33.07416843886001,32.946866188862664,37.427139961247526,36.90979822032386,35.4884023651201,38.58239874410899,42.21138001223677,38.66587313746596,36.39284928819254,40.87717698723019,41.68236511190026,37.57564962181437,39.791956676749216,37.98991503267892,40.51337355111571,41.41063641386635,43.76623469606093,42.89314650975942,39.81272251749243,38.89280871085042,36.52522897999643,36.7020879166912,35.168599855338215,39.05450853039822,41.60656254942575,45.408293336850434,46.54449563200967,50.71169829594778,52.39425912592718,49.15851311208056,45.485734041245486,45.425166294091746,41.925323972123415,39.65761026805146,43.272654890094685,38.75852793930155,41.31744734745263,44.9789839003857,42.66783944655345,42.27355781376842,40.057215595623546,43.49823821738257,44.998213051376524,41.31186245506341,44.46035406180419,47.78294777776077,48.75838633403402,50.83956035938757,46.55038898506119,52.29877103097353,53.75822075615529,49.57028260967633,50.78247259421424,55.20151932176442,53.15215778067208,49.93668972304666,53.015173382256705,52.94014567567232,52.51259299070413,48.99169572169561,47.32593219609986,44.639294698430916,44.25779738024608,40.994429708872865,41.64601174315672,39.61019343695753,41.69527195792749,44.65009388037648,45.737592294443004,47.14624564532659,52.7191349961505,50.635343244501975,54.91179469718799,53.0315445727934,52.36498166241503,51.67343072336774,49.37687640969064,49.31018528146281,48.912426704210866,44.92688050148133,44.82058480846076,45.740083730830186,49.400711687767306,47.83043973801642,53.13398258044441,50.656686410983106,53.653948211928046,51.7259040772908,51.418885415763015,47.33177676734183,48.736567230658444,45.01333056198371,47.970050127811135,46.57286883644531,49.91736583068823,48.52765804402183,48.108790855761605,47.090616529633074,45.2810574755499,44.433515504508556,40.84316461758376,43.66879342616207,41.14398069522753,38.55805824728629,40.25286879320872,36.60148866250888,35.301412465615506,34.44980627006975,31.67783899922287,32.67767295680817,29.47971270804948,31.53961970167284,28.76982006709353,32.79516439232599,35.07239179130353,32.52703339083989,32.02685047000692,27.51370180892212,28.24066335630031,29.508640581756463,28.13999979941935,31.283346389980444,31.57441801381842,33.26742609640454,37.14194965783456,33.90996642355531,38.19585433714721,36.18652694706177,39.72368917953191,33.79611433533136,32.69413340431966,28.716819539734253,27.404270204736253,25.121315165396865,27.763871182506982,23.953883466893384,25.533041563396058,29.03058820289731,29.49629303831901,32.64347161684023,35.277624404920374,33.12872855611048,35.90990836940785,36.984652158946815,37.394258294518586,40.12701228485804,42.19227103193616,46.87138540003878,48.66914687375219,48.58012286082767,47.35708258598953,43.97793859781291,43.62425441748611,42.35694306358288,40.26379039072257,36.38536555087558,38.31122790418861,33.024170914440276,37.13890553155546,33.65053559181965,28.3225590869004,31.917263219557398,30.102515846161637,29.801555882516272,27.493402523852073,30.76065596842822,30.029459725203512,34.80674772202919,37.589359412624205,40.531941760212824,43.474733300256716,43.725643675547836,48.32205719381853,45.37036997095729,45.75149413281771,41.500358430685615,40.007522078509,40.72221684355293,40.43370730795219,37.151334630101765,39.65950048239472,39.2068126626239,40.85502105116428,35.71187553399955,37.59225667542686,35.79781073997691,37.31937814938325,35.511212589689606,34.70988562471272,35.88529991806473,35.95034391076263,33.1102837224849,36.5767609850386,35.580826476029095,37.47308181362982,40.48135796348241,41.831248854735435,38.053262029241104,37.39660696343117,41.73753806777774,40.24458646311375,35.04061712960697,39.270873424183534,43.99520835301268,39.28129417962503,38.83094325135505,42.774896202911954,42.585390972485925,38.733104321649044,40.9373415314955,38.347329817253545,43.92983144265094,38.753030042096924,40.52997701500653,44.67442198060722,47.151696661848206,51.16131788384208,51.31488119486207,52.78636313670918,50.86307537495136,52.93315052924084,50.86338469085383,52.49848954988234,50.96964763545678,45.5848211640077,47.25520125983972,48.00369777459265,43.92992706561739,42.06228990879155,43.41915482138477,41.61939534414694,38.413926897812495,36.92645872980351,37.71955513148015,41.21941339523279,44.79254085432231,46.64995248956112,49.46694901565143,53.54198585755675,51.35679160737587,46.93354623233197,50.48918900484484,52.28839444508096,47.54464485391642,46.598254444407864,50.516825163726296,49.79025134115948,46.25539589941444,50.11589935594584,52.04652193220236,48.59325220145886,48.248135854016,51.51053017433652,48.905736793749746,50.75562211788925,48.95869146335149,50.80406405999101,49.866521822111366,44.571774046215566,45.92667977722615,46.40905732804401,43.697002032730744,40.738572133761124,44.62526790409329,43.03306379715082,38.133397303017695,38.45162995167881,41.84050883783173,39.51027608516789,35.91954114500607,33.10040967056031,33.854788478846565,30.845704747523413,35.12889298998269,31.73789269689879,33.939272774187906,33.35341286318838,29.426557868678596,28.824819356198205,28.028507543164377,28.30758124648902,32.538796973044434,31.268805024879285,33.13351781998754,31.63180266455593,35.71434295496043,38.77764846144072,42.20053386995868,42.21844448849848,37.700749268871824,40.595700237154816,43.10245079232836,38.7643973999889,38.57255143389158,43.44863121388043,44.46752989678275,44.202243076127324,44.89094435644761,47.325500916189625],[39.01885517632588,36.698264504158544,34.39214148495971,31.80244115222473,32.81559845683101,36.45937956309755,36.651109766352754,41.18960871903813,40.84794964732975,39.65820959821533,42.81450812592196,46.37854209539326,42.930122772763625,40.74242793983316,45.28472952598849,46.05955087059512,41.976806515901075,44.236154369503744,42.418377755323974,44.8531109542668,45.70387032521341,47.91518857383774,47.008827095591485,43.83149394115714,42.97782428255563,40.777564525054146,40.95146035665045,39.51102105247532,43.40889554218321,45.913571577758844,49.84669376832272,50.8596432631293,55.06875126162754,56.7890599986994,53.49267840516512,49.83113129972455,49.651072283030665,46.120198108366374,43.73760813802412,47.095847045447286,42.676727653157464,45.40836012049386,48.95233462143496,46.48395194672902,45.994537650114516,43.58756282069002,46.92123439681853,48.59851091668577,44.807958158875984,47.711371831981666,51.23637838372164,52.17869627304556,54.42466912386762,50.26598146801304,56.1127534403403,57.50893964209767,53.39358318321986,54.79589621593735,59.16795082427934,56.990969079171556,53.96501293012363,57.1806499656082,57.21297987951585,56.761366015147914,53.15966936839469,51.57222240150984,49.00036226591621,48.68751603295719,45.464615288134546,46.15008750441193,44.11165428781864,46.16969976141409,49.15081326922166,50.19717342339921,51.621943078928716,57.16317775771952,55.009593783271576,59.29474104886578,57.334145085597015,56.55028744485753,55.80290408307709,53.34898800868461,53.29046268745468,52.69548101246682,48.70836029130325,48.831129924493524,49.871802640000766,53.58470277134511,52.1317099840472,57.490959753978466,55.08471561264126,58.124158605995895,56.206942691884805,55.87320337327026,51.76334443840768,53.17216204692575,49.4101897476942,52.30610632419224,50.81108759257988,53.99828437035262,52.6913847611222,52.02876953351194,51.09267877372942,49.03171003760871,47.969131007956534,44.31253360963888,46.86772856311488,44.094803127424306,41.48703449701401,43.484606228762544,39.91170674691212,38.93200241925697,38.27882710152038,35.66153076237991,36.917678036322414,33.77671539744971,35.92986641955833,33.19575618589156,37.24189067200841,39.54446315799013,37.01862621509349,36.468598236960744,31.93367802197439,32.52347544110921,33.58727555083249,32.040684310721225,34.81631118754234,35.08948349606674,36.52017257123127,40.31886856500082,36.645554580109696,40.7966247533632,38.827165677784116,42.66345504097288,36.79940592532398,36.08769842250218,31.829139915905497,30.943204610235817,28.937565595018704,31.7317735520084,28.11142069283873,29.603368785458773,33.25273421281506,33.7164482923948,36.79148668191523,39.483266089628145,37.321187093039946,40.06544011725135,40.974386913132044,41.37508377552281,43.8882960132646,46.02674447901306,50.59671489301647,52.36165653164064,52.50073038395391,51.30855052860733,48.02365253250956,47.51097407687735,46.43135753233918,44.08249882511428,40.228850912334615,42.36306252001043,36.975108987290376,41.02245197316107,37.3179358707841,31.878014639689713,35.149492722290105,33.04575214698352,32.56321803261582,30.594220408458664,33.90157157216399,33.57216281946329,38.39606586082876,41.265963823509914,44.33992531737361,47.26666341227266,47.7451432239422,52.184305568368366,49.18614132179206,49.40109731121594,45.05794208379112,43.50209755946792,43.89076909221832,43.42150384154535,40.27165327058682,43.00814025226136,42.8000144989178,44.183074768878605,38.94627930367462,40.53018069865633,38.457571614100544,40.09498859306931,37.987199456743625,37.16936593883304,38.17676718682474,37.92243372228209,35.331910232409236,38.69026406880848,37.62230700803419,39.90493327164415,42.544020076606934,44.23889072267547,40.59810202049379,39.45035656557799,43.75749053946592,42.589890778410556,37.13010795672597,41.07052901686866,46.051207740949174,41.46970735934976,40.667780321611666,44.535455141463295,44.70949348050233,40.68177635783068,42.45856430292146,39.7636159714182,45.2063583988024,39.56964661212069,41.707009231254766,45.8035887035584,48.0477961354142,51.87566180093521,52.049102874057674,53.89173870888931,52.103621466447315,54.3070793727112,52.57358969362042,53.944606166632425,52.12294496241116,47.04108543126104,48.83823285481671,49.13445169294749,45.003932915381455,43.48163639209821,44.8049023129486,42.47290533891434,39.397066532000665,38.45137766843121,39.3984060519899,43.337267845418886,46.75725634403589,48.656641054984625,51.72660124170922,55.77414390170019,53.91506858528487,49.35451743304484,52.73124171606796,54.82561912980827,50.216388180235874,48.95727696944215,52.91975668783345,52.35326271835815,48.646952885647245,52.23953505273264,54.29790966676481,50.93432260080758,50.225813532903054,53.33971897820615,50.61912638612915,52.49730620354036,50.87492625359881,52.43498001680941,51.28869887452016,46.21793498638591,47.502982379085196,47.59170229512261,44.90035859287441,42.13138906320409,45.607170542582764,43.69671218248064,39.091891869203394,39.458191253828296,42.346420519558926,39.788254163615655,36.41912673490862,33.9071471764346,33.95034818528605,31.13027437371762,35.595404337891964,32.749102419752894,35.377984004229255,35.25349450267599,31.0006728692091,30.41886530723668,29.180077755648227,29.782732794257296,34.19081386806932,33.612497692875706,35.58496159596239,34.558827614249736,38.44473288233336,41.69688716359741,44.99935416782184,45.39510812222378,40.765914690483214,43.36546650339279,46.13197611824766,42.10146000129289,41.60361969246186,46.46626385861114,47.723423010959344,47.65530120860544,48.458576102556655,50.94046091308404],[39.88316595851796,37.29266207652745,34.38775028580776,32.07188258809556,32.22171980508373,36.36477345783083,36.28199139911391,40.68730266496773,40.7892337412817,39.428972653624655,42.7217627965223,46.098755879755714,42.241903549413344,40.50578189914631,44.84919628427658,45.2586722464984,41.01173588568543,43.13172193809621,41.16767938355799,43.16512039075436,43.94728694372286,45.73585402902479,44.92695632180554,41.638586179923166,40.7044843965417,38.915373936537456,38.993310172120566,37.93290271698813,41.9459837851105,44.53522450214722,48.88049351805945,49.66679659637719,54.00264042999468,55.52338304180563,51.9901188797269,48.26096795690428,47.88453539046079,44.04888796159679,41.39853697962896,44.21632220701477,39.94349535684414,43.01563509182825,46.29213235144529,43.57924042049845,43.04523790958829,40.40461265198678,43.61985000656036,45.40236977785171,41.45597690274208,44.047509076473006,47.765161231005585,48.66120326103238,51.09929177861132,47.15795927041445,53.14105478043304,54.41495276619839,50.44904526485074,52.17568940673043,56.441648527014124,54.10035818666053,51.449733569651215,54.98276696671951,55.2602111756784,54.91492684774515,51.06364126278172,49.57178635605344,47.50994286316401,47.39275621294038,44.55578122671516,45.55337821643967,43.70023175780573,46.02642083470706,48.693971275945714,49.374487906232055,50.626034216623275,55.96917093518085,53.409950626273215,57.70739082266378,55.452485599027725,54.32128106378585,53.511676524612476,50.73948560780435,50.90299846756536,49.93439827324989,45.88692239543029,46.43844397572635,47.59356190838595,51.52926254870548,50.293647346864525,55.881413527245186,53.77642408247274,57.05336755306307,55.34249136204625,55.08338823680873,51.095665276615094,52.84169723222459,49.2014698516851,51.64849454097594,50.17016801451835,53.33895395689406,51.536681598337445,50.704787945503725,49.395851310855086,47.257120862181175,45.61582876600664,42.19942326718269,44.609831823777746,41.65858888104607,39.44208764121882,41.643680690284924,38.46565834316018,37.32111573446124,37.21455264573246,34.381544157125866,35.992717751987094,32.732491342007044,34.80059599427274,32.03775648506256,36.18157272558237,38.64524008928559,36.461634079752244,36.046055804011516,31.428397617959998,32.00139834729105,33.135562946884626,30.858593454329853,33.794094925090704,33.44024273956684,34.55750918720024,37.90824397838522,34.10695277327513,38.02033180636854,35.68920448565294,39.68038140152925,33.87999859335176,33.59750372033285,29.573215955554783,28.710886531696953,26.932134458240014,29.665506806813582,26.24130610812929,27.355485753743462,31.310448083100255,31.86728670530225,34.643977427466055,37.61864655293535,35.632382201991575,38.594883355791524,39.460560933955,40.352055573947624,42.76934886482582,45.38803186059985,49.75762892559086,52.054026964480194,52.094588863743475,50.49612780634114,47.125208496363875,46.273265871768885,45.084509331553,42.328840325694635,38.12754160200017,40.293676040408535,34.64336909012223,38.40755205986692,34.291578274191984,28.800816222917188,31.6533621191082,29.199945346624038,28.72142633022886,27.180941858624504,30.569271349639124,30.75698268397975,35.47610899652989,38.572929280480324,41.855340218227006,44.94430028037812,45.778758439392455,49.913981171302005,46.624441708598674,46.7022124892812,42.09768746130217,40.88730418031222,40.73208090284246,39.94612799044855,36.902204257226295,39.62129938709114,39.61967428977992,40.62302840855973,35.29693493767527,36.630447735288335,34.38446092357244,36.23954314187793,34.0655654582502,33.476819292158545,34.59653748973499,34.44581634404711,32.314566641115306,35.84354792981792,35.25475512372763,37.78908120400532,40.55298119109179,42.52165388027812,39.03898211201317,37.977064348897436,42.38513943413436,41.583882541814624,36.349598051176066,40.21827493766473,45.29778691294634,41.17860659852104,40.50038104799449,44.3896279546854,44.77907435504949,41.077901467836824,42.84047238175239,39.91160754283452,45.234962141161056,39.27919110417252,41.095317042371015,45.21576524883433,47.034768870421985,51.06404736635712,50.79208061373215,52.41365596172317,50.33809279060471,52.27178333413125,50.42693997056563,51.477765402770224,49.86057339319577,44.90263818505377,46.33403741132197,46.43658296259872,42.55036113961214,40.922763335339496,41.83302816600554,39.61743900646783,36.87267924792234,35.502929374559926,37.061667460957636,40.73477559832687,44.16860285130502,46.491093384678194,49.48870640980443,53.74169654884085,51.893080345140945,47.38902072234791,51.090571576242276,53.272850099411635,48.75376929172564,47.688077406318456,51.88459799043211,51.53201960416051,47.93422331887576,51.452860982601734,53.7570674505039,50.70675562849132,49.89583494233019,52.86479364324493,49.96258594695191,51.46919900700226,49.54637200331237,50.886640986893305,50.14619615256388,45.133491438121474,45.902982527305916,46.1401712513822,43.72269429856849,40.560484886806535,43.759957142213715,42.263235079709894,37.75934199954052,37.52099457028886,40.41238367204658,38.29612937457879,35.045991402784395,32.96177204251344,33.07080005776669,30.780007218232917,35.44334733651321,32.76351886493975,35.020358807533704,35.24823092159489,31.233002486941942,30.086136123687137,28.536081221922707,28.59755748151634,32.83478527471259,32.371868894268836,33.78995171961533,33.10965802202728,37.59864918654969,40.58260705916204,43.99877336318032,44.56884448847955,40.10813477195872,43.020211829891586,45.87720509733859,41.7745300206697,41.85944483192412,46.68998724302136,47.78922085106523,47.69025170060124,48.53103742978175,50.98293452529875],[34.46130465622732,31.776856500433354,28.735655874428904,26.353986758651303,26.44209060239699,30.6032229405446,30.600678826725744,35.03163800539125,35.26175732316356,34.13377271798833,37.530005031373605,40.78132258375423,37.11038916703717,35.5450809440349,40.03790831409816,40.41481022684589,36.35314659067263,38.85253824048363,37.42542096056028,39.37757702563875,40.62691644540867,42.62867022506896,42.18196913170762,39.16293754151781,37.74911381362585,35.63404946781524,35.24003594450813,33.765116793710014,37.553605163332044,39.81619927969506,44.358843986084054,44.81153585670017,49.18610828187751,50.998278956655525,47.45803652325322,43.918892726582456,43.2858018739474,39.899392173715576,37.351417409941774,40.481095293652196,36.487540840117966,39.5897346258179,43.029850111551674,40.6527507615364,40.591944098538534,38.21535329123921,41.65875664297404,42.92249465252057,38.848079934051476,41.702677634485305,45.07040966171746,45.72073927234228,48.01612424409654,43.801914518673755,49.58987226609484,51.31562460490579,47.427621297921846,48.70225212340355,53.14398004517306,51.28067327567051,48.42313558481529,51.815571740101795,51.76002223104371,51.84186333179092,48.06375582778828,46.140009822192454,44.12864896828655,43.577809042775094,40.88003190052942,41.51041771375577,39.87203367484421,42.42074287260805,44.87417934293184,45.8762525201272,46.71290811369686,52.25771155409423,49.65337097409633,53.784929853889594,51.52479365613249,50.56669948380442,49.42531848682627,46.74814031163119,46.460738456791965,45.67008335255,41.777558575139835,42.13024047573749,43.572505928341904,47.19056084864682,46.233021147038784,51.628005618635605,49.59460601040406,52.991845176101904,51.05728242627263,50.525161233409115,46.390494005454535,48.12511776281559,44.36093524729866,46.6405773829596,44.96681978546245,47.92491675358843,46.35430744214791,45.318666483542735,44.28770751799101,41.965079869540226,40.59248433815763,36.96721149112033,39.401283826670195,36.547053874549945,34.094106354316416,36.20081220342485,32.86455299013264,31.880070087752525,31.68640717867934,29.066999248066896,30.90323368606072,27.848299312374916,30.289918912187193,28.13883205073621,32.510358609024124,34.46329122823286,32.203945850649255,31.413101156258342,26.754035002745752,26.93302368674767,27.743429001583518,25.437793366424366,28.1186068924072,27.967183028890016,29.1697676013419,32.79521695046715,29.063745100253954,33.182250976179056,31.167566541332686,35.02316464371864,29.174145602692068,28.63216536699656,24.336201010087326,23.633485818895167,21.958002261090137,24.96598645990268,22.00067621704887,23.898580513267035,27.59015360974439,27.64180292545589,30.67229642998696,33.19490498787216,30.95069956807657,33.60920726849902,34.249947221880376,34.92759724581017,37.210832481725326,39.77881702701875,44.11950836755199,46.360986423800064,46.524107231509085,44.98847028127114,41.72261384543044,40.830974865499606,39.87639521223032,37.08063312360889,33.176797201412576,35.65028522228176,30.198824725384902,34.25211869392654,30.601529589701396,25.047166414480685,28.13589881533396,26.317313323166356,25.415104351266756,23.322769350958534,26.527598844070006,26.342008469630635,31.25076397393336,34.082861100706474,37.25804182484987,40.117445562848,40.922771856806605,45.11086130931835,42.119429649987076,42.13375295725318,37.818535693918996,36.08917371678525,36.36018763394027,35.936253632503856,32.83789332325355,35.88808273934951,36.005417355604685,37.464271951048154,32.47313741172889,33.68347072626632,31.544678560129842,32.85876971173456,30.63527222069841,29.645861617894273,30.610003897324013,30.42627716436086,27.757073579694925,31.20148280565335,30.333602206571,32.581897775263236,35.456191249099085,37.16797169417075,33.57038441472191,32.68583021455097,37.09735481869092,36.05619652050497,30.889244596400925,34.93566728939957,39.871256001160624,35.643213589017634,35.13882539198971,39.075582400816174,39.27985079901571,35.685390367128655,37.685878252113355,34.810732559077785,40.23051352155978,34.63696407889933,36.200973993822736,40.360829684572685,42.443649733859,46.5975419873158,46.41101181936723,47.79264842022125,45.707526752681694,47.65623503662521,45.63112910293724,47.02537647671537,45.51389708565303,40.25663879738261,41.796167530291086,42.34656603055124,38.352581890834976,36.514364846942954,37.72630509513667,35.85306692582266,32.7761153528996,31.26201069249986,32.338316209657386,35.93871949471786,39.44930327191852,41.52308773878516,44.44503568341538,48.621437835366876,46.64063592352137,42.14608948946246,45.801561255170114,47.842538144747095,43.24441117757953,42.228767714952916,46.36317661956426,45.914577118236835,42.3569817037754,46.00922368980182,48.22764903698122,45.1178166190264,44.47631786761088,47.54054308711192,44.72254022119106,46.27821197026157,44.32192393282108,45.90339605571441,45.187427896397104,40.000826646543295,40.96049915846761,41.43442537325224,38.919759646437505,35.721012758995485,39.35139030345777,37.98214236237412,33.180732308342414,33.112895312779784,36.4647215395309,34.40262594448892,30.889154657422814,28.411580666246387,29.192624329611757,26.631519579647033,31.099530712318398,27.953400534411667,29.905790685181206,29.85040894806087,26.040702006695344,24.862554228962534,23.64722340480672,23.55414148677218,27.726954542777438,26.862668753051487,28.416899439243178,27.49982554925493,31.90945941389203,34.9067444874952,38.33005489744595,38.830897764856104,34.346078227866904,37.289450518649026,40.104923104018724,35.99684948000736,36.12934536140039,40.95186055577139,42.02613479709042,41.951021441789344,42.829699091277035,45.31356781666923],[34.50457343417674,32.11872150300031,29.749208802706946,27.571149310930405,28.54223275275896,32.52838415842713,33.07473922191198,37.65042045348185,37.677281964287964,36.94228929518856,40.28231673419332,43.60369984603864,40.404080338756415,38.56125758436435,43.280544296748026,43.92849545509304,40.065510126907746,42.75758917747355,41.509047209617144,43.733405701522514,45.05202036295106,47.29249209661621,46.78504995620926,43.807856823896316,42.46410637731049,40.12708992620532,39.76215460142344,38.01321569794988,41.67085632738975,43.76934689551434,48.09642867861495,48.57697399943971,52.87615135680617,54.92294593956762,51.531265231197416,48.09628053359618,47.487320290835044,44.400056600275484,42.00087362121892,45.36600382898823,41.388908973505664,44.3487890994054,47.90735019552336,45.64036590550222,45.58412275864143,43.26576744126143,46.72706613108618,48.00000604038053,43.96439531995108,46.867333180910485,50.19993215002231,50.832796426542664,53.086130108281694,48.8021664431185,54.51320422692326,56.3359255027762,52.417149811279636,53.536100348887466,58.03013984322478,56.25528536906139,53.246037542993655,56.48019589015372,56.27653410969571,56.314391827674434,52.67972785166681,50.69386045355497,48.38346476511516,47.67632793790557,44.722770783324926,45.07662472761817,43.31715365507091,45.6623008605725,48.356116790660856,49.66474037762989,50.59156828273651,56.29048149540148,53.944816779575866,58.041926836095826,55.94981977900825,55.19394012263788,54.0115755542532,51.47727979590349,50.958368539835085,50.32495259959322,46.52578117798861,46.70264372456977,48.18470666025138,51.60971756304843,50.61971019941507,55.835075288394286,53.63757946849653,56.89453833666776,54.773121991397666,54.1152985675263,49.84632854817212,51.30674938796313,47.393667857155435,49.95674941265388,48.15686262549972,50.94567150796791,49.899439928508485,48.75834084627392,48.15788342224688,45.66119703050702,44.625890937465094,40.743270466370696,43.0317230914793,40.13878717390104,37.325505139567426,39.50571178614263,35.91220551729185,35.39915010207623,34.89796792133639,32.659842851990234,34.419912781136404,31.565586212191096,34.18087946266598,32.15887916996819,36.47035141468997,38.247525179444324,35.71341222142284,34.7220639281266,30.12997576768043,30.162950137988346,30.688163709059058,28.90283472916898,31.040606631622836,31.460255537286198,32.69156521977517,36.61988359366564,32.64770413573597,36.81022586094685,35.20773680449252,39.14459066913641,33.37628552328747,32.80114515045931,28.091425186502562,27.789516309048008,26.199319529888633,29.356440822485983,26.44692224042818,28.617750258330403,32.1268889867766,32.05895062776454,35.27580878649815,37.54490469425028,35.132100774957124,37.51390894878973,38.01292298087948,38.22667772634229,40.358053965152926,42.5607590745666,46.9454319945858,48.694674686692125,49.16923418168454,48.014680575426326,44.93691740291504,44.18582083857996,43.53144901117634,40.865710840209786,37.355619580979656,39.996759843558316,34.75458398314019,38.97466265905922,35.55983959877399,30.021374689613932,33.153235365577714,31.438866640473925,30.364284979148753,28.218376951896893,31.313167972359334,31.016319240311766,35.998634462832484,38.656295585320855,41.72957748060648,44.38615966070287,45.08823203721969,49.36656084509126,46.63373325924354,46.60354978289394,42.494750341185984,40.37678079092871,40.85503469709578,40.575444363146715,37.538908093956756,40.807040627146094,40.98175521842345,42.55014053949707,37.61906245179244,38.752817058803224,36.543751194803455,37.71910879170579,35.303039751427605,34.08329452973233,34.76499164849378,34.18932938395945,31.345140125738105,34.475680798017905,33.09758283541636,35.43741277228988,37.836172227489286,39.59215973290904,36.00353296948883,34.60488576554077,38.865659298266365,37.7917224437925,32.22425109071309,36.059237586038236,41.11346804521643,36.615974235954766,35.699347735526956,39.54626787365623,39.88402301618239,35.86954689653052,37.517301321711315,34.74486221344295,40.14859755319561,34.441814161497454,36.57971622512025,40.67442345159637,42.92885479659977,46.76086583520109,46.97242716766237,48.84379733715139,47.12465026259229,49.41838700334164,47.78380986197082,49.23953298170669,47.30417536639631,42.212962334523034,44.187040562467864,44.529784825513154,40.284599140897704,38.85010142185856,40.410407715482165,37.98669414632065,34.72902234934696,34.102424567009514,34.72594777715046,38.933377515117705,42.26452215353466,43.9707814049387,47.16294259203431,51.108982970464574,49.416083071782516,44.77354331476864,47.96009283164036,50.175230909506965,45.63882615653513,44.178204910997174,48.130333178360765,47.64064576768853,43.84996562406011,47.32055366434198,49.43644582405059,46.14932367599118,45.27922219777542,48.334238197540024,45.57582769953839,47.46935269814339,45.928617989344545,47.45503055591266,46.21226408501615,41.17750636138631,42.53001261491576,42.539708706361985,39.807504542501604,37.13102799091171,40.648963284076345,38.65399024455055,34.017781106276445,34.539436361088384,37.45860508444916,34.81870148401466,31.387034467001488,28.78754237969788,28.920748640433303,26.041743065297972,30.497282960923247,27.652878942389417,30.29597892792748,30.336135954490064,26.036105454356598,25.38122396886475,24.061905739732307,24.766247947061828,29.21861247014501,28.88458180614243,31.039960373560355,30.252411481564,33.877051682264685,37.268946342891454,40.45913449938028,41.15085122060127,36.43957374086456,38.824973260968605,41.79154320765457,38.047898654934684,37.40149408159127,42.22863171251453,43.65369708873888,43.790164959257844,44.755662482766574,47.305533787042805],[36.7525828653541,34.248251053262685,31.56253269918606,29.969255457377685,30.34379830465504,34.89632614613953,35.45625820017292,39.942993365697966,40.418879876306896,39.72146606941175,43.18928429027178,46.31988804437576,42.908043556916965,41.45030336983535,46.05920128056705,46.4267047888898,42.478375878949194,45.10759637720783,43.7668540685115,45.627397282286694,46.88719743183698,48.747237901674644,48.30549257493893,45.2070194253396,43.830019713587156,41.87276587867377,41.4197507765308,39.98189936408192,43.70972731199731,45.81669387872836,50.52302346155315,50.744028788651335,55.156215793311084,57.098055866784506,53.501178214241854,50.04218365113593,49.19906406620099,45.90823462751029,43.25455830244056,46.06345674973809,42.29409746977271,45.603987696456876,48.894528044811366,46.37650369859622,46.258468488725796,43.67316018191708,46.9803117992621,48.40472498173241,44.18924831853074,46.70159718860332,50.27513240462838,50.82450551671321,53.31844869072516,49.27683304159542,55.12294754694571,56.845530210376225,53.10281039236433,54.55035563209875,58.93919074306166,56.99641798270972,54.37716621693862,57.91522210902839,57.937503459592605,58.05774529277633,54.20287478648906,52.314655240159595,50.44035735591636,49.89594784127871,47.241002807030156,47.82154908965853,46.19279501130252,48.709284430946546,51.200312455148136,52.24028970427839,53.04270034518405,58.58842232862463,55.91113774760092,60.00968513625448,57.6560563443049,56.58425616893257,55.29776089069199,52.43583045637996,52.049367561555414,51.016554072996925,47.19941268192438,47.835375585169054,49.50033133012207,53.09171389702004,52.35669023307321,57.75313336923075,55.82401337188876,59.28002347703387,57.30256859170442,56.66835642226493,52.46973597789141,54.16926093220865,50.318068501825664,52.51102300186404,50.65225752172205,53.30167340801215,51.96848583819594,50.521515676428486,49.72752719126636,46.98677299498449,45.38713617359864,41.63508627910453,43.59462000010083,40.39341284661827,37.85635120274217,40.40793251143491,37.186799887378235,36.80336877151045,36.84611807858837,34.58135952361032,36.763221397067,33.87884520576375,36.49099784250945,34.48761607210081,38.87540167916281,40.76641574591081,38.48051914025483,37.5505513579269,32.899676149378884,32.838313941529485,33.28024005763096,30.8642196176426,32.8348273381637,32.78117057545592,33.574729767678264,37.09855083294655,32.710238305610574,36.566296876637885,34.771191381615836,39.03066892680268,33.40042333131347,33.43265369948954,28.70504857875498,28.76110910783573,27.55491002852677,30.756627823890565,28.146730788575454,30.02082755088413,33.80442283683071,33.78061504266212,36.74077374226402,39.21417411255081,36.91473402188615,39.402643729764506,39.74294503541692,40.29574889720318,42.18380780096081,44.77924327508809,48.91677027848489,51.027013673885925,51.59533520706015,50.17154899261319,47.113505993555535,46.002382976565116,45.417563211681006,42.28193036113631,38.57458481765713,41.39317909017865,35.93257370526891,39.90022664537934,36.093806649100515,30.47816488904982,33.063753383557696,30.962506992311585,29.705016682544738,28.10314073695755,31.23304046332279,31.58583315434501,36.503425230154456,39.35069348613452,42.64729145918325,45.38038135232269,46.50201786626496,50.433116835414566,47.48757864826123,47.2275333107277,42.90289968018459,40.954944355571456,40.81446656402379,40.19615453864535,37.35867036268948,40.80694494669978,41.32596456031503,42.45756642722627,37.455774779291275,38.15887973399405,35.630246695538965,36.98071915174492,34.27742958032721,33.170836798852505,33.76311561232372,32.97994663319666,30.66498181156585,33.7949976511629,32.7056924602395,35.53063671150951,37.705828972513125,39.932110636533636,36.595271943141704,34.88014030121363,39.1610354823214,38.63354623997848,33.08903529552001,36.6031857516659,41.90142147807834,37.90300522357106,36.82007702160884,40.59337206183647,41.38001673374862,37.526705402442495,38.81916527327994,35.80042596823285,40.953832536647255,34.66416945676778,36.81441902979084,40.864306591865315,42.58481851944072,46.42181053611613,46.29756282456763,48.285705734019324,46.46143179557087,48.65412384040032,47.210791055986334,48.21841714798118,46.20157350007974,41.46062876406806,43.264293465815705,43.10116402106039,38.996550278296944,37.77389619195775,39.01136355549206,36.2366487246464,33.33210438938066,32.86087234327578,34.044916463318366,38.39920502318891,41.59897873937205,43.63579918639984,46.96589697867292,51.02521421055942,49.604953007025806,44.9132621457249,48.18356576105522,50.687739554365834,46.34407832200063,44.79027559980076,48.9346978179325,48.7341954474056,44.91414446222017,48.10143250205653,50.49586439657916,47.536977094809096,46.31227378179331,49.123190365424826,46.145865374506435,47.76456186603121,46.13807151271321,47.26531261405286,46.17243495931134,41.38383345489427,42.27696729345898,42.08489329215125,39.59412622477672,36.778603749411054,39.73593394116643,37.80924718713466,33.51454683113244,33.60203145989168,36.10157606084936,33.6252516811632,30.486701337929155,28.50937513149885,28.10086712826864,25.853283464041144,30.585097700109863,28.357053166726512,31.003446045056634,31.694907454306037,27.398683015164803,26.301411096306047,24.380693694325583,24.89824029515813,29.306483139510362,29.628063060061393,31.42350835956583,31.279959342609803,35.17334986843935,38.47944475677175,41.640593331752996,42.74966221798195,38.11335531571414,40.49739378299803,43.70686705369277,40.16084967815595,39.742452082064915,44.50068195433403,45.969815549901405,46.22507537941309,47.29813090227893,49.84531930107171],[35.001188202233806,32.3109180158613,29.22974176391444,27.720798189233438,27.57662705308945,32.358333384935364,32.76971486924604,37.165166213962785,37.90199784853903,37.18565976343217,40.73264286077008,43.711818229876314,40.1695774074965,39.00647016959013,43.53526409810338,43.70849225010712,39.76894659028196,42.450225329811616,41.24836384786294,42.87113277355111,44.27011380435829,46.00572075978739,45.75398000365512,42.73132564943121,41.13551227067222,39.256513831427995,38.57734024462744,37.174205730084815,40.84600657130057,42.86278172817765,47.81441436885349,47.8091073846693,52.27794040667556,54.21663477988281,50.51808852037083,47.110254216823925,46.08556303348387,42.83108448921127,40.10417223908732,42.76697247257694,39.1954847228017,42.65661303861472,45.87114456890273,43.387219450748,43.44134485475303,40.87379460415134,44.20384830336669,45.45440821231665,41.13823466559426,43.60985940262028,47.111770704443224,47.53948260348506,50.053441395149946,46.012189404001,51.825551004198786,53.66229869313181,50.02810877869013,51.439298295193616,55.833596470877076,54.0119048991092,51.487860345990015,55.101109186681384,55.10732704945231,55.44043126257218,51.51517172266476,49.51184524332279,47.903893244183074,47.29059000714833,44.886936310306105,45.47899528413601,44.02801307963,46.73936804622265,48.987143186621246,49.9647325360805,50.526993147290746,56.030069167310245,53.155634807412014,57.18278750422591,54.69909332659977,53.53620055761715,52.10239140276174,49.140898278911,48.69300216985365,47.559324410876464,43.78272979506487,44.53882209987582,46.35703792813794,49.92025435425421,49.391303242120564,54.80328729135324,53.0492917904274,56.64810889550553,54.696703174924686,54.00583989707959,49.83399702897597,51.688599570669,47.87573043485359,49.77988418417849,47.87598192897436,50.44699132637874,48.941478297527,47.36103325792172,46.47347209342922,43.65294039778762,41.87614513350839,38.181306696482764,40.09377214116037,36.85776239650618,34.44252942721041,37.03959611081104,33.9706464899814,33.53970795153197,33.82911543428922,31.53987591958577,33.964558275625755,31.122853859269302,33.80529451977152,32.04200166875321,36.5158736469578,38.276625672051395,36.149935959608385,35.15986700917861,30.504520339721346,30.292105404016393,30.652735615129142,27.868450946465586,29.82487571523745,29.50846091588477,30.17247054217539,33.5600264899643,29.158967612431557,32.98188866805292,31.113241519433416,35.38267586638835,29.766020053329548,29.91044539731952,25.222220505375613,25.358100923168823,24.33707301401907,27.583351176238935,25.30409552253148,27.277261278400577,31.05461336965515,30.87587298294582,33.75967585058477,36.17486794841017,33.88192051933349,36.34719046407579,36.58503384416478,37.3105443742582,39.106639147161836,41.919363760580374,45.93983805262542,48.30575961534834,48.83756574974001,47.22805106476981,44.165344725235414,42.882235681354224,42.314701572874384,38.983893181647055,35.224858293263864,38.156578834672686,32.67866860336039,36.595134038346195,32.79972336922479,27.17661482428537,29.627333401161096,27.6371450458915,26.197610775649522,24.58929806211086,27.66437106469773,28.128166914020248,33.04085572112272,35.88183722237116,39.223489266453306,41.942125237779706,43.214995298560765,47.01242678134751,44.044246948482524,43.70293238221427,39.37535963009478,37.407376288104416,37.17481362085182,36.55158775274984,33.74311663085742,37.30059071676292,37.95913867655048,39.0957378296925,34.21556332076017,34.74843710669709,32.19428454318771,33.41799899777331,30.672297612942984,29.514046480508977,30.11050730414589,29.390805774804353,27.07562383668389,30.287681354702602,29.35837087941642,32.17919048469213,34.51659310211243,36.75556745733067,33.4423184193959,31.902119534446914,36.25442828565593,35.793382756343206,30.435235431996414,34.020966270940285,39.283577206223875,35.48039451181912,34.58683843569847,38.40081707948387,39.1752283875339,35.57387910154027,37.018002824976726,33.9129996448053,39.059067742781956,32.81617442807361,34.6218912192641,38.71340980925219,40.34501951801785,44.3822486123746,44.041024439139846,45.74840417339643,43.73472927792157,45.76612143265294,44.1317252946325,45.14405132332358,43.32593000658986,38.467957043313774,40.09662349278174,40.07734732827052,36.05844031192303,34.629723775547916,35.76782255395109,33.269066631486396,30.37896044365982,29.52220248380824,30.845266490911595,34.98227121023845,38.25102726350881,40.423913149399354,43.65593378132973,47.807690065619205,46.29310861103998,41.64870572265749,45.10856524787478,47.56491607228596,43.218161902894714,41.832212553084325,46.07613703355907,45.93048420468779,42.21053717922721,45.450666127644325,47.92468622533477,45.09817090519324,43.942001443853435,46.73559092449826,43.710558717747766,45.14177940955578,43.306994805442194,44.45535590275945,43.62898926738465,38.76004664378947,39.45233726447452,39.50212007670582,37.11793923377487,34.02526936821035,37.07628714420243,35.487049784129255,31.064720529526227,30.861206343180505,33.650914806179706,31.487071668040965,28.254759247433384,26.309232466988586,26.349074494745967,24.266559287671694,28.999341563691523,26.584315893960287,28.822490678335758,29.535860563888395,25.5141529485249,24.070844118112028,22.158403435195915,22.235841328352937,26.50819225833795,26.658349333259157,28.17824908533995,28.101298404920378,32.31607867505644,35.451347774168525,38.68835088755463,39.81818063492031,35.28855631103888,37.885100487916446,41.08724850928686,37.47317489962169,37.420797960695474,42.14581863601749,43.48729951865498,43.70885510407116,44.793985160479174,47.323542447487604],[30.648918711800988,28.114517224637407,25.473871525469264,24.056165617813363,24.630634108531293,29.22992020492427,30.151905898872776,34.665647688994156,35.30632660201902,35.083184904597786,38.63174683735674,41.56437915862747,38.56980049985641,37.300151016547005,42.08919545761128,42.46983965245508,38.8580341491994,41.9484129013164,41.28622686359152,43.114874174284665,44.89106862884995,46.9983952951228,46.94135881164512,44.17131190831405,42.31908196749928,40.007362752755036,39.04040960713833,37.10560974696639,40.47335941675439,42.10976208732529,46.964678385807616,46.76661797801686,51.17068491415852,53.5030492984802,49.95677116007551,46.787444071750464,45.634661178063716,42.98447977378796,40.50696828063812,43.6470592145962,40.27320451442216,43.55663819475993,46.99759052475565,44.89075659198245,45.2800266114794,43.00550010932896,46.51022425892444,47.378656759481295,43.0757080695721,45.82738743493008,48.988993784239554,49.250360648034544,51.56904297359743,47.26284639523665,52.8206212076464,55.05312404694546,51.43480133439361,52.34831714285143,56.90125720417468,55.515633017874876,52.6774054774668,56.00689083082732,55.63520640962197,56.22011795045328,52.504269445071586,50.150362135321046,48.30214838733644,47.248927537900514,44.735094478621406,44.8302711459319,43.4430154788269,46.12976339298366,48.404183708882165,49.860226880470556,50.20449346382981,55.95633841744447,53.300089953189385,57.16514122196152,54.85255241160573,54.01838010581187,52.34351863358383,49.63042759814195,48.663842739208775,47.85663404612087,44.29122221527567,44.68229550133627,46.692527032206925,49.834779200864304,49.44411941386125,54.52995352264054,52.67610137159463,56.21452147073068,53.95442668186223,52.9719238454192,48.60456637345177,50.211035697158074,46.208570748267356,48.228099793016085,46.09728043799615,48.3838768460277,47.49448409568862,45.72612108143798,45.41152430650798,42.368348099330206,41.16098075917671,37.10640983685196,38.965315496803925,35.849680547578465,32.921620377956145,35.4280229357339,31.987430808517285,32.05361118801459,31.959729861518223,30.169984039308044,32.640238685492506,30.14969644784691,33.211693823773466,32.01142298918678,36.53962289785897,37.77211123005655,35.382595744466094,33.96829969875712,29.39927715572886,28.778027083051818,28.655847482556567,26.351930878965113,27.646043532129937,28.023720283842014,28.834986677523787,32.723693383193144,28.3022322261405,32.34597585274676,31.12115111060013,35.23370756543882,29.68300508431115,29.481798927191342,24.305509846359527,24.845001521136044,23.937405548812922,27.443537927844428,25.54852270304288,28.28302612230062,31.636309757536267,31.004380255290773,34.21155844120803,36.05070583291268,33.447959988002836,35.431370283278724,35.405186941682864,35.55391878976514,37.14139755088322,39.57016454856521,43.61457657999067,45.51029743100863,46.365820538332635,45.13248318459103,42.306757851753886,41.15221163438536,40.99126684556192,37.81739972498984,34.655328352258095,37.89089598420256,32.81507779584402,37.06750015960366,33.902698563944,28.35432879328853,31.082393589393124,29.73842362171043,27.958747807237906,25.8199247259729,28.60161193475945,28.55766540772385,33.60477993383202,36.04735457390068,39.15867162257155,41.51623780584388,42.61080880958556,46.54949319585871,44.0538744880721,43.67668349237085,39.79513361324217,37.1280217979452,37.49978380005558,37.33471990409689,34.52412171454491,38.40355613901021,39.10770728763731,40.7272038422534,36.191225802015786,36.6823601284305,34.26875383005023,34.948145605263925,32.13684868063134,30.498449062823,30.76612782816656,29.768461341372866,26.79636135991954,29.63669082243522,28.00096531233874,30.551233490794402,32.61686339323781,34.592763766624905,31.159698341807896,29.3924815287863,33.61872636421748,32.848951855644124,27.20586429480115,30.82131469036741,36.03623665474115,31.853238745904495,30.7893639445249,34.59625485239776,35.27278180698456,31.401431381702537,32.80950552143746,29.840271244562437,35.113497085715935,29.137942772255652,31.195648450164352,35.29151997689815,37.37347836765385,41.27133496845422,41.37007126453077,43.242294689401334,41.52804864718465,43.8598132099005,42.35350486892436,43.77534418548508,41.730160936376905,36.702264382219816,38.796220527387966,39.07915531588371,34.75897945263615,33.44732863449412,35.177006196934244,32.60933520417294,29.237262423621818,28.971821726455136,29.385171102739037,33.90717664117053,37.100239202816624,38.70495491319304,42.05619742678066,45.93577362684046,44.49596848306206,39.76175077813938,42.79239502548973,45.221833339927294,40.83484060524314,39.15109032938089,43.17145375604523,42.87432069670636,39.00499628298831,42.25455216971895,44.54251477758546,41.48224998891631,40.32984832475945,43.23435542733205,40.35015716365163,42.13173959356019,40.609654930077276,41.97976669798231,40.731689420121505,35.79142491545215,37.03580006818798,36.94616463376566,34.26067360204475,31.583666926689475,35.01029951320123,33.00962239826711,28.398192958260484,28.91700908400002,31.821820172546058,29.20114573763356,25.74512939356608,23.223256509691733,23.423946243852903,20.702511134654923,25.24897789762689,22.55758920847086,25.116266867232124,25.596714090809684,21.318855446120835,20.315293837127584,18.67144069845764,19.346697984230765,23.823613742178953,23.985046217480573,26.188398698954337,25.929386132803355,29.370358640897752,32.84741657796145,35.90021809262814,37.07535980846852,32.34129866741988,34.51117987030216,37.77504848396034,34.43514994355532,33.783911278924194,38.508864645345284,40.09878706511958,40.49388882812952,41.66179582463042,44.26245469016139],[34.81571896566164,32.51686386941406,30.26572216747306,29.32761531862431,30.118525507507673,34.80725150640474,35.97367705958167,40.482481016970965,41.155569928735375,41.039126398881024,44.566086096165535,47.50929704209824,44.57659288707899,43.24801947110937,48.0492067229789,48.46175297590737,44.81085150338023,47.810536021922,46.94546317773727,48.785250490773656,50.37433687508273,52.351903837769946,52.137211093356456,49.195775528349984,47.55503497483851,45.425514968430605,44.64035701277175,42.883103047019596,46.348247137659456,48.06562836168615,52.910565734304306,52.7558495068242,57.16484255176089,59.45401027987037,55.88266798857763,52.66095898840057,51.521813052676265,48.71627400276166,46.135694229350236,49.01181513673289,45.59752176036534,48.982014027389674,52.30821829504661,49.98078370318546,50.142958116087144,47.64295104780584,51.0116861312783,52.18120444697509,47.837524344405985,50.325685527344056,53.75019040602421,54.06707401744809,56.55257712097782,52.43196528431497,58.11933346193129,60.172358335437515,56.578833347166075,57.76782077331482,62.239997706852115,60.61115784180035,57.95894874316132,61.427265343337,61.225138427502834,61.64711293081583,57.85222959120719,55.684466914072985,53.84871766939418,52.97368821261051,50.38204505369261,50.60228801736326,49.10318438190623,51.675534545459726,54.09573055207144,55.45851649658568,55.97926544790673,61.68033811886675,59.015305852808275,62.94962398892753,60.59536381496712,59.639096335475664,58.027292548583674,55.17838230827901,54.34637263654101,53.344011832170665,49.741401665266366,50.354213542042665,52.35364911706132,55.626036068447384,55.216959528723585,60.3965205153273,58.54430353979643,62.06168395007304,59.85647931930094,58.93237288547563,54.57827804239958,56.15570886803888,52.14662469035732,54.22824866356646,52.086009645813455,54.30298478361075,53.46449941525338,51.57745517562291,51.28103490901563,48.10543289830873,46.675973470827316,42.65263971883063,44.240300145837885,40.91117979900863,38.060640488099544,40.82787021208434,37.536699796602086,37.83117641222571,37.87391643571344,36.147608316749746,38.64895622354467,36.1155227159934,39.09315161862486,37.6431852056468,42.12118554454795,43.57052362692599,41.16731531148189,39.85548903189282,35.27230772169128,34.754805748697784,34.64538082390469,32.33801189986507,33.44809512155424,33.783432269222054,34.36037319692108,38.04926064804083,33.285929805901525,37.05577817941855,35.81669164723258,40.188887955511774,34.79204054179855,34.989771701845996,29.772756947801483,30.544469205513355,29.749027032352167,33.222779562828244,31.185235749338823,33.58292030669979,37.14804959281972,36.72136811239678,39.82252647329817,41.86250635066948,39.3345794816295,41.392780642239174,41.336696353306245,41.50851398156646,42.96296549221844,45.39579457891763,49.33863608691116,51.145504861046156,52.17538900550213,51.0024334069078,48.248725006396434,47.01630097525928,46.942134467751195,43.63251011889324,40.43375060788733,43.69664882375277,38.49865236774752,42.61132317137517,39.14249988748535,33.53976399306673,35.96740942957192,34.19334057342527,32.43084964073561,30.757779664482875,33.6167035793698,33.99002890496855,38.98266470079702,41.56257301945187,44.78768589766074,47.18635793573498,48.44538689419253,52.24241464749211,49.64429817913241,49.15491344292415,45.138591785249915,42.5871429854104,42.56010069701851,42.13449205061804,39.47984311993161,43.421346349789616,44.27196269328807,45.54132240985445,40.82663355443293,41.128025789645015,38.46116531178097,39.39638051636589,36.35581855665801,34.83803822334547,34.97479973037442,33.661149888949645,31.167746729271943,33.832194162631616,32.212392178780334,35.1926968531093,36.74908366870797,39.12388391325365,35.94325705416692,33.61614015298127,37.67742717383664,37.33800615933003,31.52838788528051,34.639886022002536,40.06356359801042,36.12068163142339,34.60969143598663,38.21086786716611,39.334902002850974,35.286919299142504,36.07620164698947,33.06130292401066,38.0086828731113,31.49708374115399,34.08233653703069,38.0063467265055,39.70833291290036,43.25393362611377,43.39672043284577,45.80850723658433,44.320516430900206,46.810762801326334,45.801491927480825,46.8169900708941,44.382849925954,39.895218060523966,42.11308645770827,41.721906077376616,37.41079960114179,36.63691310985083,38.2460285964659,34.93937652743692,31.870882312829657,32.38536823521645,33.06512937631577,38.03572338608391,40.964079943288894,42.62062087363032,46.23693041996844,50.03246409423947,49.01927165638157,44.19591480608087,46.95644440727448,49.718586432588374,45.5612552228684,43.524993080268835,47.52270136400385,47.41713965754461,43.39864818890808,46.251644070781914,48.65360296478598,45.72985848777767,44.13655261407845,46.80238581117879,43.81854764064432,45.625781399434594,44.37823810424299,45.33150764341341,43.79988722258286,39.27619872450361,40.40263832393766,39.73612290811494,37.133020283421686,34.81114102645793,37.53117002566046,35.070189732759324,31.045308240538926,31.62114206164157,33.64648171780187,30.69841134794243,27.716280731618888,25.797416123477706,24.744672206217277,22.442339070653055,27.13632959162719,25.435412491382944,28.578937187714544,29.65697414717801,25.083584785101323,24.231333697808957,22.035526561043888,23.192142927728565,27.699245346732756,28.771234802119398,31.00788124556073,31.277599179832663,34.39568621909542,38.0043513231829,40.858017047018215,42.400832949547464,37.632754484791796,39.41717202644772,42.88889881330293,39.90985024933488,38.89884251684551,43.53675072767395,45.36385218543563,45.937693507226655,47.196211460733686,49.80692325228261],[35.743176013792095,33.17702579366787,30.29027947730675,29.819213285600146,29.635036700060194,34.88754469347632,35.850859553165314,40.167441178564474,41.37658390060711,41.19571944262209,44.85293286272428,47.53321888418023,44.28628970887623,43.48244549058306,48.08176702603657,48.11274511814121,44.39173226257897,47.32002653950122,46.446090825024314,47.80584282123185,49.41497289237547,50.96933957762568,50.93820967534313,47.970225866559886,46.169078678943904,44.43063389210372,43.437861634787716,41.99779831239133,45.46954530763138,47.14986300147407,52.444922629513115,51.9465329152184,56.46835184977725,58.61927276316769,54.81614315634194,51.61037291877077,50.17541497091349,47.2100160731732,44.38408289606787,46.65603304923212,43.58010126375379,47.32502184839152,50.34424675143083,47.846381978450175,48.07645401328293,45.39381546198749,48.618927425893965,49.777479469847485,45.25424700129586,47.365006724580304,50.910574419633704,51.06642381228588,53.752318555925676,49.87086716146491,55.61292496337736,57.63526329857201,54.288446729132566,55.72929164056512,60.08473868812712,58.401484098165746,56.16270361988385,59.92204456665398,59.91082301152439,60.53919893907639,56.52670119991652,54.38335718122184,53.11174673894546,52.34971095774205,50.1962719425225,50.64146421390737,49.37298378028845,52.211396473677716,54.283940514330986,55.34589221508447,55.608032211089714,61.11223298544463,58.035252107088155,61.91201209625951,59.25294768291066,57.961351888635164,56.184745044627235,53.003331142665516,52.276881550424726,50.863406072144905,47.29214913277705,48.37796400149615,50.605003674538146,53.99673449852255,53.93091259669547,59.26257807397792,57.768387862400296,61.53763351899419,59.503245282017545,58.591145775970446,54.352131989317144,56.252609584157454,52.36007556990447,53.920917169358255,51.74170218615777,53.824907174460606,52.556622706166976,50.370988968642195,49.78508796013084,46.40913368855816,44.35206340690117,40.549877502583875,41.82986601516566,38.2417336241944,35.794421209812114,38.87551569575062,36.074616550001465,36.370407216095266,37.05657961387098,35.254263426368084,38.211714460057856,35.67740660705691,38.63387440073819,37.335011890910486,41.88650846451442,43.35994809855109,41.29800258613646,40.04321611628847,35.44352513465903,34.80366703321121,34.6395032800169,31.578352755427456,32.61542213008555,32.30786743044553,32.41810495412251,35.578316926018275,30.528030485407793,33.941634225226814,32.45562436319335,37.06427106097089,31.86791459778423,32.6735657222334,27.603959497414,28.683937400049963,28.329621485581303,31.782258105334623,30.22667517587358,32.38394329083735,36.10991796485425,35.64008296554637,38.428487741964865,40.596614140168704,38.213606470822675,40.35660939899185,40.1321139126096,40.75536299926582,41.97269851714375,44.90459178058352,48.54510418160137,50.890970601759086,51.90038553797422,50.32878607233207,47.567777396704756,45.9234172018322,45.864352015193205,42.058214695981164,38.64421945022822,42.06677939342904,36.722226320719265,40.523065635453406,36.770967315167745,31.204460918796986,33.027952945591785,31.044074393210355,29.025109002234373,27.86139994006205,30.643569449940816,31.64454093716635,36.48709046183687,39.20137718562722,42.61614640899234,45.07053378589895,46.77729647735148,50.159097816046796,47.35539393557831,46.6289627889318,42.44440145622352,40.09186237660206,39.447924349632686,38.71575388081268,36.2878562490037,40.39625272949424,41.61973816137384,42.50517571920864,37.881193383356106,37.687817257352975,34.76710230117783,35.746514529380214,32.467106642854276,31.040482133562044,31.102667532613907,29.67197930765073,27.72808769476133,30.437752657070057,29.27767740353607,32.66042636521392,34.18037057909344,36.96462897421081,34.05138712311569,31.670569663194815,35.793108748873614,35.9911359060594,30.462820114083307,33.35422358351689,38.903025217854704,35.60562831265425,34.18875198558335,37.748642129397766,39.19967491309085,35.58041037815664,36.26529949266144,32.98606134231658,37.6800338540887,30.765539361716908,32.959381183870775,36.862661479898364,37.969265416149504,41.719315871320916,41.30961540680498,43.51733901131491,41.725820985095574,43.932836177184974,42.8952283574431,43.48650746261154,41.19911912547402,36.935832730236235,38.78926498552112,38.05817862628311,33.99106493488025,33.212828057513484,34.38269768963519,31.01897192891398,28.349265299950808,28.626987145700333,29.999318152566556,34.835018491140374,37.69381168505523,39.79992039005537,43.41120928673288,47.39523465437664,46.51214713949672,41.72974861240682,44.76484637524387,47.702333060258844,43.72003723104943,41.813448844800796,46.06080044530848,46.24778366877139,42.342896708369,45.01355183175159,47.71858452300352,45.21252018946463,43.42866683252193,45.8639396206422,42.65885607011174,44.012542775973216,42.462675886840685,43.080518112845525,41.986401027744165,37.61668762101892,38.09862446749765,37.5131437383495,35.267619368049395,32.52579348263364,34.78912863511166,32.776472082072836,28.971681285761075,28.796173656651675,30.693412628152185,28.266752662046066,25.501740202853725,24.264439978257418,23.16931452856576,21.7256228167456,26.615268902373206,25.284532012402092,27.93776720763468,29.553779714816663,25.348091293830556,23.77824297645268,21.10871627009259,21.59965503746966,25.847987614160047,27.295906427501436,28.89808333561362,29.757304495599218,33.41072116558297,36.725565006236224,39.623716307471945,41.475998986981025,36.92713441128489,38.94834364977323,42.55372346537871,39.62974178220737,39.199558002457245,43.73298618558234,45.423292901067775,46.02088365611197,47.336090698319964,49.90829175608486],[30.64879546486189,27.946158953120474,24.840443564926087,24.38634189066874,24.061676076540348,29.37724102411643,30.42092147459451,34.707335637737366,36.05283362165916,36.08792085195036,39.78705467824356,42.31481446895784,39.25948995793038,38.63746092009378,43.282602058494,43.2771547770061,39.76903592406608,42.965297982936015,42.544902877260434,43.8506148233595,45.81206898083283,47.53615250633572,47.78437870876166,45.07439687214251,42.92760597951941,40.94326225944682,39.58958261361969,37.83057759688371,41.04998029796364,42.42907855558501,47.81925792762267,47.054673729721294,51.56512652084037,53.93381360299549,50.166592800455824,47.150134864689704,45.526510527212324,42.9797877375952,40.28915263364339,42.83101961876073,40.00776650968399,43.69877798623537,46.83358614246844,44.65912637317587,45.26502794386096,42.85440854948696,46.24446671690036,46.96413858053761,42.415821434290606,44.77480110054479,47.96849532998408,47.942681375539,50.45371050739289,46.34859184056183,51.870641283413526,54.25253875728623,50.966960027408916,51.99656374582944,56.471042571372166,55.1995180608297,52.76702796608094,56.351822067319574,56.059311674196714,57.01017595645264,53.11019924252566,50.64215228764148,49.40262302827185,48.299678894749626,46.28473557329692,46.430840085645016,45.35687407905061,48.33282381379771,50.20222072820869,51.50337270760285,51.43505903329037,57.04451602063171,53.97742242355062,57.687844756419416,55.06459998010304,53.94709961966925,51.92900904435199,48.88216058933479,47.77866682118333,46.5632888579658,43.15051442615398,44.02189227654038,46.4510497214711,49.538685305892834,49.683336008284115,54.80069397649537,53.36442609033172,57.186845681221406,54.991687105725376,53.87111955488627,49.55686360261109,51.43270122739531,47.4861865062707,48.88458460468911,46.56679922848933,48.46508358188912,47.39223265255833,45.062362323978554,44.718722847733865,41.2177963872415,39.43895517174025,35.45654569402933,36.77823421222743,33.30334065950617,30.607780950912943,33.5914795008971,30.640566589816178,31.10954772804471,31.734551115585166,30.180562016645503,33.32528508412196,31.04771458322801,34.25961505074329,33.52295323821013,38.136812456627226,39.16163861233111,37.093434379657886,35.553377278729336,31.049111919196925,30.05367346006167,29.561840586685335,26.483094367926114,27.172502622629622,27.048974681978027,27.205239927025655,30.628200563055145,25.64887703543277,29.299434731665368,28.142727121250275,32.58496417147813,27.355923860592807,27.90502533160354,22.57673808370237,23.911198814855023,23.76190264434136,27.37669727254895,26.344225062855294,29.07152323389438,32.46352475111801,31.57461450955743,34.50319521484709,36.23569115370101,33.67554243689474,35.50216819743419,35.06669166801099,35.49373991419611,36.56627530358968,39.44404620506424,43.04145351810816,45.34523846724615,46.435511373420944,44.91612837646668,42.25995710874833,40.59307493752498,40.73749383694125,36.931608870661435,33.832292353703345,37.48763900170518,32.41549982288088,36.40713045974239,33.13980698407996,27.650858667026785,29.650086386549876,28.290889705978195,25.9520048902895,24.28545267453578,26.82215673985943,27.45805437378258,32.384574729295146,34.81303036808908,38.083609321890414,40.30952073082395,41.956239579930234,45.37919770892289,42.86352459500519,42.10904937888283,38.22682978042405,35.41642589202966,35.213876492920356,34.8527723427022,32.37123532141311,36.71297960891259,37.988606435615104,39.29681948422287,35.01945769571664,34.7867835239447,32.051628115682796,32.52040050892191,29.273006665631495,27.46351718420325,27.385200641412734,25.95752595607046,23.375581631446547,26.020268626001076,24.527460348288628,27.618963153181625,29.316126136075095,31.82213327163415,28.74315263850342,26.55315615721578,30.760086315326685,30.672920603980664,25.15860237553382,28.326093557386823,33.77616277543767,30.318865441292697,29.113112727336805,32.79104653948294,34.016880953799095,30.510819619564103,31.516653313445538,28.251078043724583,33.15175705680113,26.604331723405785,28.473929280622368,32.510618246294534,33.98759731430603,37.982892573153336,37.65525209588425,39.52902973952844,37.66551473252562,39.87963802352553,38.54921582806175,39.57834090588687,37.46132846838839,32.73032175278434,34.6959865495566,34.5614548911806,30.33241617233768,29.2148489989193,30.746467871846917,27.865232216657596,24.717293884319947,24.716429212449064,25.529744116598753,30.300282670364446,33.30384930057208,35.16468385748628,38.68369916854827,42.63368357460585,41.53866558906058,36.75034332715836,39.805639043107924,42.56719529753607,38.44933625311348,36.629336636953695,40.8510478738514,40.91661300636464,37.04821272722211,39.930714130725924,42.5510541392711,39.951121365773915,38.38884780861303,40.9793096244306,37.84755437863929,39.26107976006175,37.61505423560541,38.560198333513405,37.52992179250344,32.85333553324734,33.56105888205877,33.32062706183363,30.920890318665087,28.033891587023827,30.932793143288922,29.110942607777982,24.78728101524039,24.797252190293005,27.42447821597701,25.075593535335496,21.838257938852998,19.994880792588845,19.898449140344614,18.009406331503413,22.78435347247729,20.75298895248794,23.04314514867623,24.36740313505791,20.351500508327785,18.631748023045702,16.242062029906275,16.50912643323167,20.826549786108227,21.860552524282866,23.627572861430988,24.288674459894974,27.885048873436713,31.218122458010452,34.15182132452534,35.92054415457185,31.349167510361717,33.43497815897509,37.00066459161923,34.05732608043917,33.714755496766,38.24114807641609,39.886444042130535,40.486837925588596,41.8223665468111,44.40516079507303],[29.31189787032897,26.955044329244288,24.646908778881972,24.369763650149487,25.058786976339643,30.014215029823706,31.602971444684485,36.001223740461164,37.09282267303261,37.52858996324476,41.150596947348554,43.73563789415457,41.19298613109218,40.28478831306573,45.1525871558071,45.43228244778775,42.14968164014668,45.56416690852403,45.37466117858593,46.98399840503151,49.06633103766506,51.102836088386915,51.3207125792482,48.68890977660989,46.55984344491622,44.2661020372661,42.91795923307043,40.81848988842147,43.887104567650155,45.082950730640285,50.219181852280386,49.48498562832187,53.89822466875689,56.53508039326503,52.94737531954505,50.05702618083257,48.48096271696202,46.29555147322246,43.81185359328854,46.73323670541324,43.88012687171156,47.361207414598404,50.68391585301343,48.693257190983374,49.35685390842641,47.082075951011774,50.55729677991393,51.203285853080274,46.72569266508414,49.26455844583633,52.33361081772951,52.29860039641762,54.690452303821736,50.43940018982843,55.83255320048316,58.367004164414574,55.015686305023934,55.78443822660062,60.34673980875297,59.242894199130944,56.561727038182966,59.92893232369706,59.419617925003074,60.36997161608273,56.64190152363044,54.048790740152754,52.46584487773844,51.14412951209405,48.87242090604875,48.694500371543874,47.527530698604046,50.33637788369028,52.40713173557601,54.061056214056485,54.0345488510534,59.83235510941187,57.04740174936284,60.704214652145374,58.28291214134718,57.43369223247977,55.368197769374966,52.54476740530776,51.158301303795625,50.21185943081651,46.91306147680308,47.48205250209365,49.92045399435353,52.75934057824902,52.849265082265454,57.740319753786004,56.11793402896091,59.79364782373047,57.37694137490802,56.09989624319852,51.64074622788937,53.2252752624412,49.12625260717486,50.80797094670287,48.36152146466901,50.080158479518595,49.592333466854456,47.206101818402445,47.34760271179538,43.740798838964764,42.47137314628253,38.22976604657154,39.48863759269444,36.12675381044072,33.01037528216745,35.90414830468338,32.62571557373046,33.52738129263478,33.71125795150661,32.550048121033164,35.52660786743315,33.4574613772312,36.84074838393572,36.254142288086776,40.83427318427213,41.63870193751634,39.28638963186902,37.52388327820567,33.09511438470386,31.95809511741806,31.198270550945065,28.756138073404575,28.952797140400637,29.522348066595193,29.84665848151066,33.64986890077463,28.693716190542432,32.42255719209463,31.779053625986084,36.08732779160038,30.97087035612226,31.24175859822202,25.643314950422084,27.15862571151149,26.921807506780098,30.631192073210123,29.54213525871127,32.59816784102528,35.77869496700504,34.75905819488375,37.93046719434645,39.367581315142196,36.62117433178118,38.14953888536133,37.608471803526506,37.5037049183188,38.457294598526,40.875316467595646,44.52590876446658,46.26344763773214,47.66250873676091,46.572507403147945,44.12443990041178,42.66704810694057,43.107272745601584,39.55527215704977,36.91908776885782,40.672193716850316,35.873916541617575,40.088947242397445,37.170311877820076,31.72275961636098,33.97800152173712,32.85127787453099,30.49236191074856,28.568032324195002,30.989324205346307,31.259019031493995,36.244161106931834,38.43276435682603,41.51696465056397,43.50653245134474,44.93610939169966,48.517753190367586,46.33542636568445,45.60521083790826,42.01962195698828,38.796137216257556,39.015050025829055,38.924903267474384,36.449861608531556,40.89011023349232,42.09570921514618,43.65886161199087,39.469253147876266,39.337297970487334,36.68498946514927,36.96226518990496,33.71015630134438,31.684981224078097,31.390652290978394,29.716945970339868,26.809746799960003,29.045070515737255,26.93163372060082,29.843652315749434,31.06419437929125,33.40711166075562,30.314948087278307,27.70479809017694,31.653747046542403,31.373793531433407,25.500984732598948,28.458614879903216,33.908391699516386,30.084080928973947,28.467580063134037,32.030410096379406,33.31348946352249,29.363655706857724,30.02889590253645,26.928049200443443,31.837863816876972,25.328840197129793,27.840725644989618,31.78623073541102,33.61060434134841,37.22847603391113,37.45308955178135,39.804838448972085,38.400655217615686,41.005382222844666,40.048386450705614,41.301472054540156,38.78112923852712,34.17249299225481,36.65281833231925,36.50268278715449,32.018107544573475,31.293204269049056,33.31711238143897,30.055811681973932,26.63249474730154,27.569300339792587,27.60304124565196,32.85203536933064,35.649841298824576,36.95054413819641,40.66083793570465,44.276432971080105,43.41393316749146,38.54304011341006,41.0268980470462,43.86122052218365,39.79912723851747,37.54692390736009,41.478949757842486,41.43193771394446,37.35519581288493,40.08361954706843,42.513088263628426,39.677796170030035,37.95183228880787,40.57090694467827,37.575219679249194,39.41802428818336,38.265518937295056,39.26644701866214,37.62046865293755,33.08380174254618,34.370714642173624,33.68354535642539,30.98381528472756,28.790337102363168,31.72392790762957,29.18116541825165,24.98998332287326,25.883258289588202,28.12009152837643,25.05226796745859,21.848940914050594,19.641871022242903,18.93630675155416,16.416619815758096,21.0812735484386,19.27175123408039,22.362139847435117,23.65303731492038,19.132215613997015,18.145848382432177,15.841123407515347,17.194883530817563,21.704658426377893,23.10247298073865,25.603835205415734,26.165587061049568,28.77238360241837,32.49562924044845,35.147112390389644,37.01279082632905,32.238205957846,33.7065847970051,37.35851946826454,34.79782458568287,33.631515120209,38.125963113781154,40.11258231409991,40.91900874329057,42.32671644840648,44.96963150438194],[34.15521692166776,31.87264634964501,29.56382487500062,29.6828160502648,30.060328865417166,35.254908940240114,36.805730481925956,41.126143528956916,42.40584104017135,42.76169654455461,46.416634282817824,48.960213684186925,46.227263041638935,45.437564656906055,50.21535565721302,50.36418262866965,46.94073262907082,50.188857559734934,49.728560851215164,51.17181663252568,53.05096791513734,54.797867927625894,54.91744629847101,52.096806064290135,50.118492267078935,48.150361841412256,46.93059870143875,45.15420240640621,48.37756899543174,49.71407499090331,55.008004367912385,54.249313845314596,58.72329169488755,61.20435300034147,57.48833393887834,54.5051427266303,52.8778769270033,50.39444634031178,47.70505004890625,50.15853519830524,47.33356539354534,51.037311704420944,54.14366308838221,51.86335055633238,52.318526137630904,49.76093415904961,53.065556557874565,54.00229694738968,49.4270532191784,51.60026964369767,54.96772312935364,54.95020618623666,57.57297692839737,53.58538203324652,59.14589336491188,61.459969398067166,58.20092378649292,59.352647418095145,63.79031281309475,62.403890849494815,60.049266533097246,63.67041144839657,63.42070521706184,64.26692445665854,60.363378564821666,57.979720107237355,56.61931244605778,55.54952525054291,53.36421056142469,53.44816647542715,52.24587302285398,55.067846327621965,57.147086176583336,58.54644100250099,58.62008925582459,64.28323662834882,61.31655585083982,65.04798698580049,62.46290249122984,61.350333648338854,59.32706743330132,56.2456918354075,55.09853222070813,53.81002967443384,50.44846588855559,51.40272202152356,53.86455807919915,56.92892333192015,57.078923259648064,62.16383619790596,60.66874934087326,64.42485089794778,62.16160820560772,60.99272715825105,56.61076508187532,58.32922900062771,54.29200389771822,55.84770312899463,53.43192008995368,55.131315334612175,54.40877113953973,51.889593041297616,51.82525309454957,48.11224061739728,46.35798134825556,42.29494610214424,43.26596478606317,39.6452183570376,36.84762413448572,40.04157953777472,37.11469012281352,38.045338933502094,38.5953385460238,37.31554958783697,40.42631549524934,38.22012171407966,41.46438681095994,40.60094743358419,45.183448409644704,46.275561832380106,44.051019975493546,42.47014861420693,37.967398067227066,36.97698245908034,36.35006686358858,33.58011637827785,33.83714725390148,34.02134342279421,34.02088719849013,37.394983388892356,32.12789157761246,35.466920917562845,34.59740474521712,39.19214683522667,34.25426074795674,35.06597461848141,29.6101907234233,31.2488518900292,31.15341225336795,34.79280119634586,33.620298664085155,36.23287221828468,39.71284767781788,38.92379300538354,41.88085593278262,43.632217015795455,41.04020183789175,42.76983421123352,42.22925182109229,42.41068650371763,43.26209830335012,45.921902728370085,49.40433514896249,51.349327810535215,52.79089564623047,51.5365336159447,49.07869067196357,47.41508398267361,47.822892127800536,43.99086297285082,41.11972230518703,44.87081183201061,39.838703355495745,43.80163063479436,40.44332496528573,34.94282218632193,36.75789810019447,35.134000696211764,32.78147538530406,31.448923326362188,33.96330841280974,34.81652705391879,39.6964974902227,42.11265350228454,45.38857882875664,47.50621591625834,49.22989817853545,52.55309356937921,50.12898030080595,49.25010834848273,45.41966833813209,42.49570286752114,42.09791332285057,41.62205110074979,39.3406869123272,43.8085455996851,45.22636489400059,46.31991672723526,41.96285145778528,41.54315460730857,38.60034252911185,39.180444436245686,35.70173122129322,33.89789899899912,33.54179201976845,31.64255038190937,29.451260069811163,31.62297194156135,29.85246332412409,33.26941678068927,34.129618598923834,36.9682025193102,34.21014510288406,31.23341806153604,35.058879541435054,35.374387440030404,29.607663779876283,32.05001375627806,37.65756888516705,34.36791841034894,32.50020232957486,35.84159876570385,37.59758709868181,33.762277267739755,33.90791941133292,30.695553785165803,35.14113085218749,28.07055540995884,30.78388665801043,34.5177132842695,35.66489630146022,39.046397051674475,39.00654045199145,41.70383724728818,40.331872137618085,42.891039411929114,42.33034085945333,42.99208969147088,40.24769509069311,36.259674309310654,38.59846338566377,37.684236620001634,33.3919610441526,33.11674245736713,34.74427411914209,30.85884625826943,27.984529322105832,29.38071087382876,30.066065734721644,35.499775889113906,38.0533774158436,39.661694934429335,43.53924750675042,47.188122359317006,46.70748508718978,41.82436544737968,44.26370088220803,47.419136458014194,43.62819470955384,41.222985630005844,45.24647800690239,45.485309929352965,41.39034905649421,43.71789456968939,46.36989452644767,43.859009583648586,41.727791701705776,44.02474402967842,40.860881336615265,42.469078755509976,41.37729196078105,41.853237409753035,40.229006695370956,36.15942473267732,36.979800869495904,35.86478297027927,33.46478306185101,31.35702527766864,33.39288496306104,30.72281181637244,27.243803442917365,27.73170664245795,29.070114510297092,26.03921030993575,23.469099290954517,22.260029791329544,20.369369050834603,18.835384383684673,23.604314229251777,22.90483422344556,26.126942903730523,28.083546792622357,23.627969005677034,22.43776442632745,19.568792926664454,20.847828067168503,25.132461511566166,27.301291142277243,29.420851493549197,30.575678923120023,33.30714072191702,36.91962355207876,39.46690805321613,41.68020214585289,37.01844635166487,38.37940671589927,42.19123232002965,39.84366558636146,38.7480996157213,43.131569368009345,45.17742068004014,46.076002496594214,47.54679675822092,50.159904175656955],[34.02171673635447,31.491174052541503,28.593526227511806,29.065942968866015,28.57894901574665,34.188701933091664,35.54658674038884,39.663097920302214,41.38984752694769,41.70862281637133,45.44817778972359,47.74212249229593,44.79211755430658,44.46011343076264,49.048342837714074,48.88096139750745,45.45863408053661,48.672583935705504,48.28987794607957,49.332490290408415,51.28429730013748,52.718819297704094,53.03998174544052,50.270248567219845,48.10588124943179,46.41097610480378,44.96439893831035,43.39341866143086,46.550891661906576,47.795377144274816,53.43778271404919,52.361951388548285,56.9038435537566,59.29656765682464,55.4162228754637,52.4950039297623,50.604205689561745,48.08467006067994,45.24294243844885,47.244176750040424,44.76718013269507,48.72304215116802,51.5873220229476,49.25261728443117,49.83769302149914,47.213992394858664,50.41749671927049,51.24153384921324,46.55138194021368,48.4580056511612,51.820530573469554,51.6370483883716,54.367807470382346,50.546780307256995,56.076606402678514,58.433290498250855,55.40139114673288,56.66331978368158,61.01339353588305,59.67473999945666,57.620441949742876,61.42201864194371,61.26989212331265,62.33962261597828,58.30373417550582,55.8862445787404,54.988361820819705,53.9494407176374,52.148931164691994,52.36025719552511,51.38075372903107,54.422662055269605,56.18168219977532,57.37654272861703,57.18513020439998,62.68617892545329,59.403640274336304,63.04247124106856,60.229257788250884,58.885968456929014,56.692069105782,53.38259699556604,52.25268752144791,50.67248988251317,47.38920469021152,48.68152958324293,51.352863962371394,54.439217064104184,54.90503382647854,60.04962009803159,58.85903714854384,62.81226370982647,60.668223631660524,59.48010462212989,55.199795392145326,57.16988874205743,53.23947126174228,54.33999172427194,51.88919624332153,53.45268313254394,52.40072674466968,49.63252510302239,49.364584262464376,45.48890166975103,43.27139832157887,39.386178585926224,40.10179100271143,36.301032051286235,33.82281172014133,37.24412689687797,34.734578661813174,35.68216416671914,36.75223561563752,35.461950177136224,38.94136043513194,36.79945119956771,40.0376769939541,39.406975601928586,44.01382005131018,45.03544548490379,43.098652324872845,41.529933382461046,37.0728940951221,35.940273959491826,35.22963005909865,31.880011985551235,32.01889898975776,31.690968222429117,31.300247533388518,34.23815380521293,28.774123491877905,31.815276734976617,30.81866959658703,35.555600175400805,30.833257808965055,32.11168523730052,26.798094502112143,28.737931947495888,29.05764092414902,32.65261422181751,31.982427277718724,34.48523658547354,37.98413939039136,37.08720137866924,39.79106524367224,41.54290742983481,39.05826242676147,40.78309695878579,40.072594227165105,40.59305554250172,41.22516756467371,44.27580462289911,47.48768649022424,49.878235380130135,51.286868107795165,49.709469830293656,47.26830301232606,45.27394524604399,45.71867068838623,41.504180773537186,38.53743629771115,42.43342052642944,37.38326154232698,41.09233392523186,37.6386195129654,32.25379307490333,33.5780768337799,31.947015974326924,29.324630116259414,28.33432075267954,30.68165262545521,31.97618925169404,36.690434031719775,39.13297872659763,42.51018251273837,44.614295664169255,46.68471278710952,49.65576902064541,47.131404205329865,46.055180844147884,42.171804168057676,39.337277830427915,38.511208018465254,37.85946108126157,35.78238269621497,40.41342775679516,42.14578394526862,43.006509535381454,38.83946132799814,37.998766895561936,34.91071308138086,35.391934204011,31.736768800738194,29.92429605282002,29.450569279201783,27.431454374066877,25.612959468837865,27.777116142683653,26.358891542166724,30.06003143394661,30.923607310201294,34.05594351375156,31.515901060875922,28.56523524996802,32.44883061634291,33.17520422916231,27.721477779190796,30.02318696024007,35.680920500511036,32.94370885513738,31.25038324082863,34.570077921958,36.52125800264954,33.12567336249832,33.30023479992929,29.887442318610038,34.14111191139386,26.86643667708798,29.086544185666455,32.822576853821786,33.5132132856175,37.15402744946858,36.60576785430043,39.003063386482076,37.31643485746757,39.60516270148055,38.92968665799345,39.31197613798097,36.755381903125844,32.85196054837422,34.87242496386391,33.79043892254092,29.681601566934905,29.316917626695748,30.620878621240664,26.77879458721841,24.16186034966081,25.293135542663112,26.500122551543416,31.782720631310205,34.29864745859016,36.265094699881814,40.10148583734407,43.91281593230474,43.4850597616423,38.654401776367244,41.353508018330785,44.602229233126586,40.93830410014961,38.69744344889364,42.92778966927197,43.387993660966735,39.43054209842216,41.65654098389727,44.54416117401271,42.380224985432264,40.17322361539428,42.30500008040831,38.97539934333499,40.17563006057023,38.771202455386096,39.02997557792209,37.84627562462449,33.83961269880414,34.1090143082751,33.175813002743524,31.083607802843773,28.53069033542516,30.291321157162557,28.12310616950151,24.724433841188876,24.506642625375484,25.9135631136586,23.430155535474192,20.957503175830354,20.28943246471851,18.664165964735353,17.905745667131015,22.754122901386094,22.191340352155912,24.799756903722177,27.124384890678822,23.11902310505124,21.264086117879963,18.081380496971292,18.641502978819133,22.628167428438875,25.029353387361354,26.584550595135394,28.210354901254494,31.379708402239856,34.70289868806723,37.29095269544705,39.72098008469732,35.279898388400404,36.87797635308869,40.75353504322313,38.43126691934748,37.882556148740285,42.15509766251244,44.04174200336349,44.932677520546704,46.439546480952046,49.011191237974515],[30.41883042234396,27.772984360185845,24.683450657479927,25.25746298270757,24.601353767974793,30.282207118424026,31.698905283039753,35.75817078582776,37.61259442568834,38.089493294771486,41.8451103826474,44.00569032724816,41.19393126891685,41.01935231159799,45.60783964593631,45.39886232019804,42.1404034546545,45.52199153787161,45.4524806935169,46.436152728342954,48.62110041163249,50.15455945624088,50.66969579936512,48.083414290566,45.690211171133505,43.847523136024115,42.15466021975453,40.38512146181637,43.34975054148444,44.37478474259798,50.08040011669013,48.80778346650715,53.33315688607206,55.86661368440904,52.01384151460222,49.234225212600435,47.20663997207058,44.98470011649135,42.24062199313049,44.40305300221796,42.12127591169987,46.03491666797748,48.96022203371991,46.85278065264772,47.694730757822654,45.26593284702697,48.56684165134523,49.08689180913947,44.396318170855565,46.46209145016889,49.57229815050618,49.26269746008268,51.86374549388788,47.90285254469935,53.26474875652747,55.866131277130776,52.88761663930035,53.86618778264827,58.28583215200202,57.23329764640215,55.05738312369488,58.73561215058161,58.39517880649833,59.686453960773115,55.73432320946788,53.102865677801155,52.244490345132135,50.98100665165106,49.296834965395654,49.31200963839169,48.478580578431504,51.60933479722917,53.21006756343904,54.55405299308048,54.12924808151147,59.68001254880925,56.40074281808836,59.91486666245322,57.12512317080316,55.89711976838059,53.53753442374358,50.320954914462845,48.931315561685075,47.48297477255537,44.32126450106666,45.474438114867716,48.28670115680786,51.1550592903855,51.7760986644794,56.76335783730429,55.626259977336986,59.613537812833776,57.37062070882069,56.04270255200663,51.72720230328251,53.68672439287201,49.73714877152511,50.69815415258163,48.15445419743088,49.5742817362348,48.64763743060141,45.76664467276197,45.664167268901714,41.69298226942857,39.65388225462705,35.64958859336086,36.36989069342934,32.63827806847066,29.98840876185817,33.36318913192038,30.780095658474526,31.879579307680146,32.943353093451684,31.852387533417453,35.47380844469456,33.53452478008239,36.926402909725546,36.6946513444143,41.313995084616245,42.02316206806259,40.109396950179196,38.3565489214816,34.00250822431614,32.622419460872706,31.672597223928292,28.294483894410117,28.134676062903242,27.909772955313652,27.50490087913398,30.59596813732407,25.15402792240185,28.344765066160097,27.60380751426441,32.228671998263636,27.512224688582002,28.644988380702536,23.166803430974063,25.34356406280755,25.85890324663466,29.52850670751742,29.258947657614208,32.11506747511325,35.36533178989953,34.184802180876744,36.95157877400053,38.393009118518705,35.805117344365904,37.29385067890898,36.42080910289941,36.81601643943196,37.316886312310224,40.34410106131224,43.49883615243977,45.878480433260904,47.34496738271898,45.79219650487183,43.434672424732824,41.407000872214965,42.00391098034128,37.77629568951092,35.04607777781141,39.10466642206536,34.27159854464957,38.08027555342123,34.97612773965607,29.685472744724986,31.092701820915984,29.903948834415466,27.061385261586665,25.749604475393454,27.891520144162353,28.954027379866066,33.68978968226146,35.91893155698559,39.18759833075893,41.11978335902541,43.162250720390006,46.137717348767126,43.8189172791558,42.71503644937675,39.05436118477596,35.89860582786661,35.369168421093995,34.97989929987591,32.88043431724894,37.67405961872282,39.45007825506996,40.59371110840378,36.68810250680012,35.811654539187515,32.86373113329946,32.977823494511576,29.348726662900834,27.257189483098628,26.664247677052145,24.626833810112675,22.33685781752901,24.43179120741453,22.7473418619401,26.28197349000558,27.256739377780622,30.221886600275397,27.57219188776132,24.718657071687517,28.688484975042527,29.24359854930266,23.7892996028591,26.280030427627867,31.904690905169428,29.08271840928021,27.539100768915965,30.957633271148538,32.770332551059774,29.479878845917685,29.8842603891292,26.448671223383215,30.867819302326414,23.80802684041355,25.762557434417968,29.63346000363813,30.598919412651238,34.478651807037274,33.96952876250723,36.09175008450742,34.3202558800525,36.61503296905038,35.697051093029714,36.413363396572045,33.991023358097834,29.691050296147242,31.80070906696539,31.182200669872213,26.921478496967946,26.277609967891888,27.872950495204396,24.394965025430782,21.361132718459544,22.290758903246857,23.07587758424536,28.359500692348227,30.99356369506534,32.79425976850005,36.5786151953753,40.38755815938385,39.79895594827693,34.94775928225818,37.68177887506522,40.815693233989094,37.04869749805487,34.866625906649794,39.103664654414075,39.4883558494914,35.55148313638527,37.9352115347611,40.782386323767966,38.5633050904199,36.506285983395564,38.75421324580584,35.456350971109664,36.68677383499278,35.18559589291911,35.6885172030696,34.57015044961043,30.30253922908819,30.720238260027948,30.06096738003103,27.843589179193163,25.128855624118508,27.402871195864197,25.394407570833923,21.532062252626485,21.426073955370455,23.466318662902182,21.04792505928588,18.134022746926313,16.996889551867515,16.188240810917915,15.110215309504026,19.943574425714015,18.85536718707256,21.163603104788614,23.35150227408471,19.51550502251427,17.465885669142963,14.378173705478874,14.730794875396503,18.79057465176458,21.001599968918086,22.652870797969506,24.223346695060492,27.341103859344404,30.670666661388566,33.2806760619793,35.681705824602716,31.239567696262768,32.88171536573471,36.74349917755872,34.43015151347131,33.96906820228384,38.22172086962873,40.07359275411968,40.96964047754185,42.49772198496454,45.06727251424978],[27.805216131161632,24.897219426523463,21.253473864472657,21.6593016398148,20.37241871382973,26.190854125437937,27.355831494829488,31.30862883903965,33.33558109928693,33.750688520424255,37.53023919001744,39.560661653448975,36.65796907521439,36.72526503098976,41.203168676601656,40.8546439019662,37.66774192800673,41.10530819231152,41.24884531268347,42.07440226191272,44.430944949864354,45.96198650089299,46.66789361772571,44.25332509112727,41.64471593060798,39.759302800419505,37.83720038600613,35.9964764385604,38.81951839579298,39.71593710718916,45.53629567553831,44.10698763777129,48.6423134398325,51.188505188677645,47.31200677135635,44.61237282659893,42.47394796501223,40.397799661643994,37.69683750637573,39.924346769306986,37.818566581907056,41.720984684365746,44.6492628953564,42.72224294150214,43.79281707917267,41.544404814168686,44.907571046297114,45.14421214912311,40.471486270429054,42.66631576396529,45.54021487534522,45.13546644395639,47.616452390152745,43.55658811284414,48.78869469913568,51.558827938737025,48.63314691708185,49.40915097083734,53.86377786551489,53.02857148018836,50.79422808560272,54.39997216332308,53.94943062581015,55.433185967582524,51.52404888127988,48.74041038120427,48.0205913562288,46.62411080451537,45.14114064460863,45.088768271870464,44.42941599924008,47.68826640951892,49.06072787242985,50.41133444290482,49.762922982487076,55.28177983901793,51.92798536102991,55.34499763786488,52.52757347906878,51.334870677765466,48.86574208430567,45.693017098684756,44.17624682937232,42.802949729675845,39.701086884594794,40.77974165193722,43.684334182693476,46.435364663615225,47.18371561573426,52.0964668549793,51.05595967352994,55.10709255969937,52.85968552800198,51.47696529245548,47.19557666590502,49.247741283731244,45.35435401505715,46.101697010177695,43.54998308148851,44.95964579383825,43.8985879111527,41.00903389858401,40.84288578756021,36.89135532433191,34.8786208987905,30.863261363424048,31.720818881261422,28.075530893863554,25.416606601509077,28.69512478683078,26.12176014408864,27.09453127959177,28.285116683289495,27.195072329752293,30.97472945292978,29.157163635098865,32.60427518800912,32.716899611555576,37.319588783231396,37.798101938508225,36.024580629998844,34.194645020509796,29.952702861377187,28.40168378813576,27.351862840163342,23.71963017623203,23.539888805072145,23.128358247918626,22.712930739499566,25.85681073985207,20.531784385992836,23.942656445990654,23.201121631382673,27.698020782736183,22.87279292981777,23.862338413919037,18.352859883330186,20.627593183832786,21.356047776513126,25.026242759317498,25.1978319184561,28.275459416826187,31.293877042943055,29.87970931008797,32.60983785629693,33.84065169578591,31.232656345754567,32.6100672485415,31.657365662615057,32.1466591343376,32.63484490052885,35.8078637081406,38.93934241795951,41.539555673362145,42.865078960811026,41.161413864612115,38.765141848139166,36.66937571859889,37.23867603131432,32.958118020055736,30.25423509523576,34.38757152701688,29.68595110097817,33.51460931973928,30.670277029419896,25.508219506415116,26.95285001298516,26.186832259778548,23.187807952381018,21.57640816737924,23.530661814274925,24.409696257198526,29.132647020625125,31.230197686016336,34.44121805113825,36.31621006398516,38.35620671513861,41.330327177339676,39.07646366155344,37.98718220094297,34.43108962644435,31.143084590043447,30.82807650278796,30.63460723726085,28.46084074689967,33.310642407926956,35.08987180129647,36.468938721996736,32.8087120952568,31.93655773395005,29.17309117203875,28.992506165417627,25.476460139419387,23.20683956410701,22.65865835679222,20.84899895046022,18.086708357213517,20.39036145875962,18.745009809793782,22.028775306802135,23.533040946490665,26.24747100939466,23.39860662316276,21.056101398743237,25.26458509862957,25.558736296905714,20.344591299418134,23.285505631886767,28.749177524214602,25.89656258111742,24.828109296130165,28.417403640653838,29.88657983477074,26.91996377188113,27.873904923743105,24.4531908777187,29.07425167490798,22.549929965104592,23.8113924338593,27.829672562187987,29.04441229678167,33.31183911570475,32.64518055466614,34.150929540322856,32.07861469346512,34.15069961206828,32.70038595463876,33.753465446352216,31.769893659646865,26.919236627434397,28.8220960365165,28.862819205941335,24.635626216635394,23.367297352080904,25.01757077147138,22.370569620381733,19.051887125777256,18.990601031888723,19.639609229464657,24.498030632195313,27.431238612901527,29.302446396688865,32.84885822466039,36.820414331880315,35.836970977780574,31.03735793576698,34.1348962639759,37.006531650931436,33.03999173409046,31.22105753936211,35.57063237305418,35.85103696849798,32.07666968125202,34.80112045631039,37.61934065178121,35.380820087697835,33.694955637017394,36.11361280249807,32.86206739420912,33.95601051000977,32.09522659287738,32.94543912086325,32.22332013481259,27.55631807069351,27.92812322218596,27.91038391616194,25.69575872023514,22.464582548914333,25.424873805863644,24.05139072771513,19.60044578532122,19.206048502997643,22.26082236270269,20.39138048076799,17.028721898007312,15.388665912257764,16.123037208471175,14.849531333722792,19.346303460822213,17.354111739740418,18.798776784264746,20.563057007723085,17.265184714198973,14.771973852602684,12.136708824323549,11.519208701199833,15.463427389074763,16.892405319642837,18.284503859475645,19.644950019197832,23.267947600936914,26.3876588918441,29.207031262948597,31.38839138863978,27.046708785649553,29.111478007050085,32.83120035540565,30.242760943383235,30.282062411658263,34.54886955664643,36.16158596737088,36.91705568358002,38.39647872456509,40.93376700224473],[30.75013695506572,27.978065188923306,24.445379312036522,25.69475327960292,24.10426064689017,30.12394522596049,31.460269702403668,35.15162547637077,37.56937930902858,38.17685284919099,41.96403151632468,43.7291790695234,40.86979654729783,41.27504303483961,45.61459657218486,45.05681934728372,41.95224640932222,45.34624600708123,45.50998781473325,46.016436295451776,48.35128939551214,49.55119281617761,50.3567829796964,47.90998451633445,45.2647718622341,43.70597205553779,41.68581445813479,40.087328631690504,42.835189875259864,43.60858549022257,49.67485010102962,47.93121384952472,52.47759790013561,54.991838579000266,50.999852646447444,48.40494314614365,46.0000168530848,43.93452644582346,41.08348332862136,42.70409466488211,40.99369845780478,45.151357827192996,47.767475502139135,45.69831106526803,46.77134429723001,44.33768214572021,47.49975577199287,47.79770997511993,43.00786073717592,44.733517375397554,47.728380467137086,47.15078236258441,49.82972770799817,46.085400052661285,51.287848413898935,54.02814977616059,51.39376855887238,52.39680613574129,56.69877613701799,55.82082243996866,53.99451923344829,57.81533172614411,57.51605958870972,59.13948409831085,55.09909863539628,52.37148634299501,52.05324037828585,50.74113527660913,49.532635141663974,49.584354088056216,49.05012113647439,52.389821172871656,53.59783217245522,54.79198531316236,53.99307255251025,59.34710985279387,55.75010431896615,59.072253485321944,56.04991882996224,54.60816439976026,51.96729045334381,48.52550876272416,47.01342566046298,45.25116164585839,42.30219440350745,43.832134225773444,46.96705357718102,49.715572286374034,50.80248710560114,55.733504129497746,54.98151924283814,59.16968472353256,57.01585300058044,55.59167119393858,51.395723009272245,53.58107552439426,49.75906795865954,50.14583006275731,47.50548011174619,48.6008269549797,47.45919537710241,44.16559555847411,43.99112585941707,39.72332665487828,37.20026989621956,33.38455691885778,33.61958666488011,29.659929817832328,27.36030752065999,31.059445543250227,29.06153264159568,30.419150791334985,32.11299715945047,31.23384917507949,35.2988853335063,33.605121998940284,37.00413450932618,37.202520912282544,41.76840214649377,42.2550969246605,40.674108531109496,38.86701963712106,34.7048560391563,33.07386805029788,31.88751098341882,27.96858249255278,27.353261258689017,26.61429996833033,25.613284124051212,28.096692819441465,22.379561332687473,25.034391480532147,24.404838309736203,29.153473822886607,24.947176432858942,26.724518453880304,21.454308371381202,24.235446363795553,25.42280076744918,28.953487601854977,29.463629452829885,32.25821449236111,35.36799215537772,33.96875223101271,36.41028593084448,37.675020403846936,35.2042152512831,36.50338362204308,35.307852158322895,35.9784514724455,36.03979617371805,39.43296742827724,42.12861142926649,44.91087491609217,46.4729484924201,44.63826755004334,42.442538220041,40.0024271017176,40.8133244507704,36.133754702318996,33.53431598884298,37.83715744617124,33.194584861021596,36.65482621513199,33.63842814163844,28.66283883665873,29.371037118601816,28.36022170575606,25.094819097171325,24.222111368244335,25.93999338087793,27.521743222475752,31.926047463351576,34.02703639369894,37.32459272438607,39.08037947969289,41.562434154873365,44.01930591631367,41.73862702391429,40.32548545744433,36.78144372650802,33.55702821825487,32.5504706277532,32.03899743560994,30.314318905521347,35.40178558013308,37.64326213842187,38.554920734643055,35.06646838423177,33.56185090018538,30.475863689476792,30.277338763165158,26.385237502538732,24.138167189201063,23.181926439338685,20.776647162489912,18.949026733397314,20.725722812425378,19.321441184335487,23.25643250692463,23.939970656643506,27.325605445418606,25.104329985785235,22.102045701690145,25.964538130800467,27.15479948463247,22.21947829804756,24.245039966379437,29.84161632012468,27.86092016534905,26.43634697607804,29.65096530378328,31.797955471503176,29.106945182189587,29.341329009670876,25.77412745363047,29.707547910709135,22.547454146057806,23.906177132593296,27.623403677388826,27.956807533528217,32.02815441257828,30.956882591052263,32.795994460147575,30.74337002067774,32.774046279454325,31.85776166701031,32.230648913160216,29.926021847886688,25.8306927473773,27.659129211499085,26.77974246401283,22.695504926127672,22.084505594459962,23.40500077051364,19.85741340406928,17.090670686545973,18.051515524212007,19.30833739683938,24.5731051422954,27.014513498762412,29.12012434211667,32.92797048893586,36.82352894688223,36.45243617688112,31.666775735903364,34.52091136984327,37.843192662637286,34.353016155808284,32.23403006163657,36.62868547236186,37.32976489698001,33.56103450061564,35.65033325042057,38.763351250792965,37.03692765022774,34.78201516420075,36.730258252310215,33.266811587398436,34.01368666122946,32.256603709557616,32.40983388082789,31.729339005796906,27.705155510212442,27.456013716576916,26.889819063224376,25.08458223680038,21.98399198303969,23.77376022217216,22.32022631915634,18.74628673541849,17.796992423007026,19.791211091967565,18.072505465691062,15.42542011448709,15.190134716180125,14.655077397367135,14.785443725940135,19.280760405225905,18.6799974691344,20.162277904190375,22.904099392514485,19.835082064154548,17.134458845402747,13.771354772535355,13.21144832019567,16.51419176311079,19.318618039717393,20.248007994482993,22.622772850358796,25.895403167878957,28.83991501265576,31.31842310838942,34.119276316792856,30.02871973702761,31.70388277211418,35.6519727737122,33.64422977129097,33.67745054472412,37.642793331009486,39.38427971276147,40.36790698415291,41.96060504925646,44.44092336457414],[28.84252838534331,25.845868663138447,21.763328062477818,23.01269353801062,20.603183426245188,26.74191139405981,27.80178367212252,31.2520492081614,33.955795801248925,34.53104419055471,38.31548183993728,39.854908901587855,36.91565012347647,37.68149905167146,41.82889359524034,41.06331855568631,38.07883844841182,41.50436822948305,41.914097687426136,42.16099189844292,44.67533251314179,45.789172441037934,46.83090304693073,44.58348840689665,41.69985306463484,40.179703441826724,37.88322700656811,36.27508778159091,38.81983958038776,39.40780369876951,45.64142788552986,43.64884597831494,48.194478601866514,50.70749020437945,46.67159013279842,44.20245965819885,41.60880849781332,39.72329522736175,36.895786801982915,38.429250593513366,37.038506272397676,41.22918384946228,43.76644611182612,41.878601324883604,43.21413989109552,40.956252784335994,44.12886363655883,44.11162104203327,39.328071500068226,41.08730369015647,43.82973988621003,43.09741423200184,45.68683138865452,41.895782975393715,46.93762151444651,49.86878216444102,47.36196897935966,48.18073930176056,52.484004738292626,51.85040013730837,50.04903051686078,53.82470691937946,53.43495752833327,55.30332392806834,51.29507366887424,48.41439960672139,48.34804859238758,46.910914228883655,45.99837211503815,45.998548041227004,45.68975354719649,49.174433325282386,50.08299420945205,51.24359874412593,50.163448971923636,55.42430832263748,51.70067585713651,54.882539090455744,51.788867041444426,50.33268775963483,47.528786388111165,44.07791950544556,42.41819773575802,40.64465624721282,37.80982547814962,39.36594457713201,42.662969681199485,45.268716676937046,46.58415235921833,51.419878358776046,50.8473955637469,55.12582492674912,52.99496845107972,51.505281296088064,47.38562007116728,49.6975700672875,45.974122479301265,46.03223778728724,43.37419297001035,44.38251976931059,43.060284580561,39.66381776732925,39.40512428587808,35.08315332297936,32.44318919514959,28.674929763077902,28.892247926048018,24.931321829125668,22.74152973107741,26.456998580621804,24.66697710338201,25.970924421947146,27.97475741808657,27.167015845110836,31.463311825511912,29.966164257793103,33.37821273066685,33.99096414629065,38.481750182918645,38.707382235991446,37.344372280216795,35.47596405751563,31.511854334598503,29.6882036696971,28.36728750234531,24.116390723468697,23.3468641847421,22.25596144446774,21.03239768724624,23.339106868567438,17.6099641003061,20.313990045858613,19.708869994525166,24.411174310315225,20.249912407284118,22.129498602701567,16.949871920647844,20.034028927953905,21.636225830988252,25.07361342951387,26.22272835330466,29.138655457564127,31.961656544642143,30.309218600047505,32.60370691338079,33.617047124809794,31.178801554399758,32.313145158013384,30.9588574377889,31.79706187956806,31.723799473857873,35.342549519593284,37.888572863441475,40.97641388492952,42.41838928834002,40.37356301081685,38.18757392114838,35.58298457905533,36.41827811981361,31.575094753683754,29.044269573585844,33.47235715767182,29.032304546813435,32.3901231577297,29.66073505735902,24.940273634434007,25.460747637735995,24.921516284844504,21.391162313120574,20.384794939345436,21.752465135818245,23.325071704517608,27.58621946492857,29.51561286987583,32.761731448826616,34.412434972404164,37.01070441509817,39.32356810625575,37.11453667060221,35.63150152090419,32.217003789266755,28.843088057673686,27.897559218002694,27.54180577375667,25.85413609616283,31.09136473698226,33.46375865492798,34.53793223914238,31.415301946391082,29.74533070160578,26.80474494329993,26.220054720891753,22.346361983344316,19.843875643696343,18.793412968592047,16.465006866677594,14.255998742316866,16.188566976182152,14.944436771966533,18.814017897299752,19.990504594099544,23.260311567463493,20.969291327958146,18.470296452256857,22.54611403536374,23.651049787273774,19.170594632418137,21.491191702738917,26.869889969694007,25.09282075357069,24.178352885149174,27.47300338786616,29.340910974428578,27.119472918509334,27.8323733987767,24.305746892710857,28.279565877587945,21.731997390465057,22.260619323199055,26.041593135473885,26.492261037454025,30.948415378978623,29.61909630984789,30.756311689939885,28.333325850157014,30.05641757233645,28.571184391635228,29.210129637996037,27.413130200250478,22.774491390158012,24.28726859958937,24.061799764857412,20.075593299248695,18.74513823951986,20.03474800023143,17.434676031124646,14.426960573371913,14.131778694993788,15.472418081923081,20.288642824724445,23.031510530689623,25.334030697391782,28.90738732825541,33.01218939554049,32.28836444270323,27.562404795661582,30.842602966964062,33.94357031404403,30.322200330557358,28.598464125102712,33.1439567224687,33.81798151656532,30.266751110814205,32.61710386731592,35.75273794933288,34.125469299836226,32.204118424206825,34.24359220450059,30.80842717471034,31.3023961014663,29.117328616111347,29.541845010196248,29.380599068805292,25.02726871600225,24.550063350667646,24.69486880656663,23.010756785164784,19.27664235640112,21.670353228385352,21.055270578622235,16.98851182282042,15.475031610835464,18.57702171235429,17.653350155369505,14.68396056698626,14.137827385526524,15.22220781045272,15.315293053167158,19.27914473156803,17.944834474222596,18.387404216900418,20.797715192801128,18.48997605289155,15.328589530565257,12.487584896661314,10.667755107029691,13.423816516336785,15.587370505648853,15.919753006407676,18.39856533982316,22.21017053899171,24.79508434361491,27.434864508946042,30.113551358768433,26.254039797070792,28.33230736908142,32.13578044273577,29.954871058805814,30.57784951617269,34.44813613326277,35.926544492322485,36.793146111122525,38.343185119617935,40.75212174460141],[32.65467316260123,29.585021132687068,25.374973245035456,25.729938109612373,23.298898417931177,29.259068569753897,29.7162864183433,33.305692761717545,35.668019998311856,35.56668625280314,39.33681818065932,41.210441709952484,37.67307774193696,38.17245684592605,42.21310670046092,41.439856624972016,37.995054048145,40.998259520562335,40.74156894850473,41.0285152098105,43.10770873178818,44.02394917945675,44.75109750174538,42.19716336231146,39.6452326660616,38.40103129695026,36.529201135722424,35.363245200616,38.36030546824055,39.5138944379658,45.64849532623471,44.15550746181474,48.76550070754976,50.86185280120044,46.738000244800205,43.893698957298064,41.66155028684289,39.01489616887862,35.96540551213965,37.29765050717029,35.382561263089755,39.66610626647379,42.146121661964656,39.84803544036846,40.76540039940563,38.212618938553234,41.3097358700168,41.74896004175479,36.951254794480455,38.612253923606836,41.7804559736232,41.34665655594618,44.121909505642215,40.46323350075915,45.89430894760031,48.348787744737486,45.63311137585896,46.95063834513429,51.173663912903514,50.00550018932554,48.33334704157262,52.33463659111107,52.300122766544305,53.75994274234392,49.5737018860039,47.07338392686237,46.97594000518353,45.99327452230479,44.94096672361098,45.41393478035369,44.883941079857856,48.299912530279215,49.388142876342876,50.159512444711496,49.48451161867032,54.61772280048084,50.828515225781075,54.29005090393393,51.13998962769597,49.455500527480055,47.05855848737125,43.45951745235869,42.44773549613681,40.49680347664351,37.27442901119745,39.01762136450947,41.927625468657844,45.06930983572893,45.967637295719264,51.19474700689794,50.50437531460271,54.744044745386724,52.878538326167394,51.751264918949296,47.75990975825488,50.20680767190026,46.59886158972733,46.90061994186217,44.56429767516958,46.135036115338906,44.23947749832617,41.377334469746614,40.47356716258458,36.660633505696175,33.67607034245714,30.253122574282195,30.946283374317126,27.060014885615324,25.350998221344494,28.830425795794998,27.07136393967444,27.46318146933291,29.435344867198737,27.85322055956096,31.79421159002605,29.745704091592067,32.77946973913801,32.61102416336276,37.11188739087958,37.966542627626374,36.67551907797927,35.252591202976966,31.056416881280665,29.79784405677744,29.16965591948795,24.756295603838733,25.20391005665245,23.644183263913472,22.74725060529273,24.834228183168076,19.470678505455854,22.263359410933127,20.58154845046222,25.402465406225325,20.741814094410973,22.60497158645213,17.95889167131525,20.006179843134674,21.02454659062769,24.299294274433326,24.651996860105214,26.898386232955712,30.213024639794046,29.10551296920475,31.25681809160005,32.98255781239639,30.79696460178448,32.59914414961192,31.778733566690793,33.109438841496015,33.64241062409263,37.43084490265498,40.30010109292966,43.644082232548826,44.597749473072994,42.31230320361197,39.72280192738979,37.28169899531228,37.46030542232509,32.76923035252887,29.409767733009435,33.32869594811184,28.28775166301247,31.503201759061348,27.999148160965802,22.95246474227977,23.522658038992564,22.17037754932985,19.082004536852885,18.448851117771746,20.46509923585643,22.384120403991126,26.74668247378848,29.249946882840156,32.76872960495111,34.97706294438806,37.48722168049699,39.98963642382012,37.191260722666236,35.955636268600074,31.912516962786857,29.44090212775223,28.058911923248246,27.195612371201566,25.235877199413775,29.97099838079018,32.05428570906949,32.735667458801444,28.990616500315234,27.64631329533667,24.544031605191076,24.75627614320034,21.02547616787149,19.21488788201514,18.905497410724763,17.304739568595863,15.813207035241172,18.63533356116126,18.393992008300092,22.110515758834595,23.981859041685244,27.108962680695388,24.657619042890754,22.82091321644585,27.025804316203654,27.900052645135382,23.543962271514275,26.239824739040753,31.492833674597254,29.48174671938805,28.795253407845767,32.22853881504667,33.7988715816883,31.458995305674986,32.48056138562411,28.99857793747389,33.20135698124199,26.683179574796018,27.288395149463884,31.099559742060368,31.51339657192521,35.951793412297846,34.49771904714539,35.528152988320564,32.923828560423566,34.36696486321754,32.655090398862214,33.0204270458708,31.54964291697336,27.040085444006834,28.023122972679356,27.63722866336488,24.065847275735962,22.507170247885284,23.047760716069817,20.74317910414906,18.396034023378885,17.004232267124753,19.42360713285824,23.387251515727545,26.368551157261983,29.213175770901646,32.48014750894954,36.838943022791355,35.78769034588088,31.237089041453217,34.99211607945591,37.86962278203887,34.10958782832422,32.832998979318006,37.456154547450595,38.02617243899987,34.625270064345585,37.22923752165316,40.31159702094911,38.57663025919477,36.93018284128361,39.081120834693415,35.68711644811231,36.09745547063966,33.70461592785027,34.160932459946096,34.274422335908255,29.87191928366279,29.20757835995737,29.552840649014893,27.99631347526153,24.089316793644922,26.3179989798174,25.938509348254637,22.00575366611894,20.179219627984136,23.082917679199788,22.35623984403595,19.58041753584952,19.079697344853475,19.801550749027594,19.67468180824702,23.972789007093446,22.41151070841618,23.076494839349444,25.042919379378276,22.45569619042318,19.497692297957556,16.877377003218765,15.168277934379722,18.097135383816767,19.366912500956374,19.324238957066658,21.139335596809943,25.829135401960976,28.203597750597623,31.18028610694212,33.356309907880664,29.525612064786227,32.158921103622,35.7087694692462,32.89032945041825,33.89780182482682,37.99641787360662,39.19728828735718,39.7444731810288,41.117804789420916,43.508130461060034],[29.09895773603358,25.88355366464993,21.338241919901883,21.30840900294915,18.403610344301814,24.271736876258245,24.470592079647535,27.99193548776538,30.395777338382207,30.27361588828044,34.04314249433076,35.837393173672915,32.32367546299627,32.958598758861,36.97047689615893,36.16561853011036,32.84883682462096,36.02189517514409,36.11257789427066,36.39384888779678,38.757209518685826,39.8877114074346,40.82277983680782,38.52214083725701,35.69782968239486,34.180400472797956,32.0245854849427,30.566732746069952,33.36375056028365,34.327850523877984,40.488779418898424,38.884969178173975,43.48907448181078,45.714267229084754,41.63692132768172,38.89677296410515,36.598292289067246,34.252697599026156,31.356238663844152,33.11161872310614,31.29238375731758,35.432177811472826,38.09777204860318,36.140355817485904,37.385249394141496,35.169909659004354,38.45749124143842,38.477226722450304,33.7416622658798,35.80860402428758,38.587676601584576,38.069364595339906,40.597880666493644,36.62600601789064,41.87415485772116,44.628354139428176,41.85792864099141,42.747306451999926,47.11459816832708,46.30257457340329,44.32721095960895,48.103133811856985,47.80040940914692,49.4725161209388,45.428710138752514,42.656812956738925,42.494191651662895,41.23574410747856,40.269462897712074,40.517727487491676,40.140334202911774,43.64249581608389,44.56168056105537,45.51059479063612,44.60857530660253,49.82744651507216,46.1078483980236,49.46720119224378,46.40277359749493,44.92853280164431,42.4076192301608,39.00693603866054,37.71161750500499,36.058056567379694,32.89385368554001,34.30184245278264,37.294052229359274,40.209313620019635,41.16369837246114,46.23051868129708,45.51330771632616,49.757567261046965,47.77536475312156,46.53154957834483,42.499310071148976,44.93245510187557,41.32191045711614,41.54273500592583,39.171658464303626,40.75799732874913,38.89990150305072,36.10441679108649,35.27670268999,31.520835377821594,28.86609900533462,25.260228810708004,26.305720077762366,22.645100444605443,20.693680691039717,23.901731963000515,21.910626027985717,22.114535052293313,24.024535730054563,22.47657662036367,26.523940934147323,24.657672281100847,27.839799618168996,28.149848845741058,32.64257425180056,33.12598548541681,31.869179184237513,30.27267256713272,26.2252262436778,24.729235850339176,23.945328867891053,19.414060942021166,19.862051074717147,18.253055985683346,17.53529105617739,20.00455209720622,14.895532587364732,18.308041149886236,16.740558829278555,21.287639484576165,16.22246987162678,17.57254524525142,12.671696112018799,14.774059373586983,15.970504078248412,19.374136689772193,20.293123607033458,23.029398597907026,25.927965587653308,24.44562821086223,26.727922910880874,28.066615555269095,25.733299924792924,27.329465886347066,26.43102685378733,27.698793449031655,28.300408508010104,32.09271153907365,35.05864524746501,38.45964399281238,39.27479049983504,36.96260724576177,34.330733906818715,31.949893031935474,32.11767741060954,27.514436945608743,24.267254793095898,28.318830845337317,23.476432283392626,26.949397233408845,23.96296072190533,19.005679691604445,19.984663557816017,19.458255802322057,16.198160890752348,14.687543552945657,16.469537290760893,17.770586047114616,22.31719426232719,24.57511025802975,27.963069949100483,30.067202513647306,32.394274680414625,35.11637344907578,32.51523279847308,31.39278058373712,27.56540491959538,24.706622632764322,23.988567841844496,23.613551511053142,21.37800757782164,26.21147956187123,28.142254322761218,29.408848056808615,25.96888933221096,24.883257270003867,22.19205247103856,21.873584310865148,18.452072134485114,16.24513682413132,16.061785917411367,14.947846608599125,12.252699649878517,15.450794053702884,15.042675566578811,18.090431279219565,20.74891055077806,23.271107043296947,20.423881101327616,19.375339927403672,23.77927570341605,24.039550050134505,19.965440666818346,23.25065856819601,28.15621057535202,25.851547468724885,25.697361158166984,29.28302101503163,30.30402243291188,28.199327377904076,29.848292100544324,26.55084059704007,31.002843974904565,25.341077000346385,25.38966963154631,29.298687156045276,30.28542594111689,34.96631054794536,33.6729041075361,34.138139750798054,31.404198531648053,32.740253389149906,30.435601777759306,31.471054856227543,30.438628946470406,25.21439181969449,26.15616954617636,26.81356208667472,23.203853801362897,20.925679333316143,21.82992071155825,20.676308472417816,17.808341526756912,15.301011309434063,16.998050132711512,20.32495725826381,23.734230806985693,26.365879658597706,29.30490499742081,33.729958185469165,32.117180796633576,27.626637653971965,31.66807591905626,34.116100195953805,30.026679035446328,29.148786631922082,33.75598521006866,34.057777606730845,30.821060276446214,33.896247137744474,36.78090379686924,34.84861357614943,33.727770297067295,36.15930888902237,32.95512693615243,33.430266577965575,30.797417622691196,31.84232557681019,32.17202924297666,27.290677707559645,26.930004622116765,27.968742506169253,26.246781646546907,22.070330741125794,25.310960228291485,25.359368279034587,20.780867784758474,19.152369471640135,23.1469981688188,22.647247767703085,19.394233387812978,18.031076696371695,20.181738616871968,19.442385391107422,23.24245785221926,20.698417739457174,20.629975334556963,21.83039716105723,19.815764178747994,16.788360171546824,15.058025228807923,12.655942294729835,15.271962216122981,15.165082861887502,14.953071564495895,16.12104455619356,21.31902204927124,23.514400699988073,26.738115601025925,28.497647490594815,24.710818116318354,27.761779450074354,31.058444338342632,27.886289013780008,29.285775936132293,33.39575065106005,34.34511802534756,34.715566981322716,36.01081930825433,38.38102684413945],[28.162534920043296,25.00637002495179,20.781268791422,19.79163821938273,17.8228591174833,23.28045775620945,23.4399201406672,27.41061374923075,29.13456589069721,28.771752874001816,32.52503497302236,34.79530536956242,31.271987020072796,31.231275872953436,35.53312250487087,35.12196555344949,31.59789155843552,34.76449993766456,34.59851867952738,35.44888233088781,37.665700248058336,39.222693776436664,39.84226242040432,37.40965982311129,34.8403590816922,32.93607921088826,31.146217006411515,29.443475549849225,32.5084412570363,33.78317666282402,39.514345359216726,38.47611954975821,43.05352352409696,45.28948845785746,41.38166877538313,38.42425614881598,36.59361888257456,34.07935747639025,31.345414202959997,33.827665486003056,31.306952636244134,35.100843979604065,38.15843659432182,36.21106637650917,37.21441733551038,35.067111100332994,38.538083421142915,38.764444325462925,34.19964306304204,36.72272270379459,39.552248067996935,39.36159873907716,41.72644937019049,37.496013358984364,42.87100133222821,45.47274178787528,42.30318404094505,43.10564800749225,47.60824997793083,46.63876435086331,44.21949615648856,47.79363863656321,47.41514808340218,48.7203142583333,44.79844208692366,42.110758107831806,41.30574859870972,40.0772261512975,38.56851254587544,38.77121267033513,38.06757734692283,41.370240892716446,42.7096811420373,43.832783240563785,43.33425881051274,48.78907650333621,45.435373888247064,49.00835811885732,46.22654252769161,45.028899517867096,42.84732205904994,39.76053136295324,38.60350051469347,37.38665566565048,33.997311910773675,34.88118129035986,37.4548472270633,40.48651715930659,40.8718496117097,45.989627746877325,44.81982050320556,48.836640010019444,46.753207669866335,45.62427314320305,41.454942757382035,43.65154983105791,39.899437558759715,40.773710793748414,38.53572420628108,40.54087339974942,38.892393538228056,36.63906235805804,35.8765552277967,32.54754221726095,30.55876714870302,26.76482897119644,28.450280835833794,25.179304942654845,22.810012797860068,25.51172931919451,22.788820614268747,22.5912291396303,23.648955630415323,21.767922082721917,25.241005889176655,23.028782645952216,26.22753727765166,26.041147066262706,30.64962789396384,31.372611840313088,29.729148152851934,28.1882839423578,23.858538096988358,22.660970219057575,22.215341288077052,18.300234400924545,19.48457204383997,18.54964628956383,18.721117158351458,21.983608575592953,17.492615678735564,21.461045754930105,19.9012763189964,24.045259228632773,18.511352564369922,18.809302113856496,13.765023830564152,14.821404088877769,14.983346345467194,18.579584324921576,18.41741883622167,21.385066772951028,24.451776748491962,23.195648002878695,25.93421540067104,27.471238066393447,24.978757932324836,26.825607388526624,26.368577075309183,27.30801974824331,28.502704368053195,31.861201595366364,35.38934367360131,38.362372696427386,38.99777268528243,36.98217612372848,34.12889013947367,32.268305656459454,32.13207283761729,28.149074036958833,24.758704152051507,28.44070264307533,23.397191571394032,27.33494488463303,24.329858309189387,19.006539856818,21.030472187907296,20.37206019756165,17.810031210846894,15.597571976297337,17.921194802294988,18.326907495171135,23.256071893761444,25.616168106501707,28.894526990942367,31.19292197996427,32.91572378665325,36.282458108802494,33.67532536311488,32.97363794413191,29.087826092055646,26.345785661250563,26.338577088718367,26.18337774125881,23.50981489057009,27.822451643064156,29.090172751220173,30.713464919381707,26.823288084958673,26.60817725949416,24.21554882117938,24.26000534208769,21.352911994172047,19.43514726846141,19.702962523746375,19.054723201454454,15.935210486673729,19.201323066845475,18.351611901503837,20.798276043092883,23.703487391313214,25.685405520504258,22.363136107330682,21.536147775066514,26.022726094113885,25.540326915554903,20.966219763995444,24.803133593437728,29.688326206876756,26.476873785772526,26.316253922160975,30.140809401304356,30.716763206871168,28.075030834176353,30.058520621387757,26.90997275254756,31.878137173830808,26.42170388518946,26.910880495436164,30.99599939568831,32.62040550687825,37.19148811880766,36.398148176709,37.08255398598147,34.60243416296908,36.20286032954254,33.88156324568664,35.30271975565396,34.14843888810167,28.69816383662781,29.966971930091734,30.89341289889874,27.05907299231718,24.81931774394099,26.069852649572777,24.862536209526024,21.677286508450266,19.51512147410541,20.528291976214973,23.904382852505282,27.43008410995115,29.651776002605185,32.52839622623635,36.820945201753986,34.93849822837489,30.430865959764763,34.3214536772714,36.50982090788373,32.11117729767714,31.22007643861835,35.638074441171185,35.56820661257721,32.19800006561757,35.644094968321454,38.22760509461386,35.765623742444234,34.94692800576911,37.72246681225921,34.70353027260939,35.65418938753544,33.250992253639495,34.69769877774233,34.61866605905137,29.44577325886193,29.775096642867553,30.754833092101254,28.619056284810792,24.794870890124376,28.54012297270337,28.07415574412414,23.149937202029943,22.327867514732944,26.383390404189132,25.24820075454962,21.67189990872922,19.503944945682782,21.61109538381175,19.918182833193548,23.920987130161215,20.745136525079616,21.25375806642835,21.753474834911,19.132057098257757,16.681116986526295,15.377735409535061,13.730655731140665,17.113385551238842,16.25921173748953,16.967488333483775,16.982390661548507,22.00492807934545,24.593642285325977,27.98591805823643,29.194335402922288,25.029710777037636,28.155246293802932,31.28449452039615,27.66226963517454,28.669361001989262,33.12455866450146,34.106959962459754,34.31551198148639,35.4816068748218,37.94032647797676],[27.115908299472185,23.890640151846583,19.442378064896726,17.55892558360898,15.113465177456481,20.017504614535333,19.479458941788668,23.365653386397074,24.900947777390755,24.144046942129126,27.862703708458273,30.19575448115183,26.4291863005661,26.401101380394184,30.60465061545171,30.165210053598344,26.585935544773402,29.757700782124743,29.716561402574136,30.600623430299176,32.95955693583117,34.70036463520475,35.42421719807039,33.18594525687467,30.454372335966973,28.321893235535285,26.397025975426324,24.51061768102804,27.532616611746924,28.84607137647113,34.51109915307503,33.59376387086093,38.16663070748067,40.35952792234993,36.49437485115543,33.5042129235661,31.795458988863462,29.323632079493866,26.729726399008626,29.66803329089738,27.024795851327973,30.599761019502722,33.84443089680325,32.160059270512875,33.35166502222226,31.52639453915249,35.13013825398264,35.05974649039065,30.666007528822412,33.57986102005918,36.076109542787925,35.93130929573212,38.03639604595619,33.55905212851184,38.81259815959077,41.52608037935592,38.233136323814726,38.73231871708538,43.33158912833529,42.55975162716167,39.85320222025624,43.22813381394638,42.688154541519836,44.05223681273624,40.24873975232032,37.41916605029289,36.506372181661774,35.144060487204634,33.6688885775959,33.806739072575375,33.1903682426943,36.568660135015094,37.7775526511631,38.94259036068284,38.35186342576608,43.84607265714642,40.559637902087715,44.120630979165455,41.433848012976405,40.401683738484174,38.27833010348775,35.40965254802034,34.2178791758543,33.32408108676876,29.887548144217973,30.392110699209823,32.832588761934105,35.80376155312885,36.04251984421831,41.11292706080695,39.85317667219928,43.843175192832135,41.74239456848354,40.64027940533706,36.48890515446377,38.72376344120708,35.02823096226599,35.92789484157389,33.816110795202576,36.097598050829745,34.25076562502306,32.3749391535703,31.425694266917642,28.4887977040923,26.851308368449924,23.10589906411794,25.41857946252594,22.63602142784307,20.301525097959164,22.36556987841375,19.426779783558036,18.473831472490566,19.267745711737962,16.99714272293863,20.306382580936084,18.02706472539349,21.22722212756148,21.284404897246226,25.875904402881602,26.412274432430337,24.838787388508,23.293190396364537,19.039755446919283,17.834750861134275,17.599846589441007,13.555377422855164,15.582266668339406,14.483766052236087,15.273899955195693,18.82025542376489,15.353799789492637,19.698319092915018,18.00384990325647,21.472104988604098,15.647642663305596,14.969955648660571,10.357154343461001,10.340806132528918,10.089542791709235,13.718311199961772,13.749992517742871,17.13410108758651,19.830017626936833,18.339033207604526,21.22162370167765,22.58373859701806,20.023961226292403,21.93848614898184,21.711410524730734,22.764723180492222,24.38221863236543,27.735256393690797,31.500418135490328,34.60400525906291,34.83450664235462,32.70565548264357,29.633358370684064,27.985452534665267,27.501687894373774,23.838494499280404,20.267755145998912,23.737722334073748,18.748187545634117,22.93358884244919,20.336005687857195,15.154549978467816,17.831575636179604,17.878965530109078,15.654743244870046,12.565277618037761,14.764684434566487,14.21533894002884,19.259636782461847,21.490748589158628,24.611799900999028,26.996290492474245,28.362430110932674,32.06895957759594,29.490304674318956,29.08198277324958,25.291378144944733,22.5970941612943,23.281810879997437,23.50700652650129,20.5067561414609,24.43217846918312,25.276805834732382,27.421976053537115,23.737789269175366,24.04580699172814,22.21524775983091,22.02302704030461,19.790701471644628,17.953386933492105,18.650002107219745,18.825784503959838,15.219581677382696,18.683253656452546,18.06648541566812,19.493094285267475,23.210758894233052,24.402017462457888,20.795209666222224,21.111877452459233,25.5500384581772,24.384890399797627,20.460434488109016,24.77064513711223,29.031544222020162,25.593606329831804,26.096911562099653,29.95423480661361,29.843784845796097,27.541757797062843,30.20736768634915,27.377654787174542,32.439659329494226,27.98106362090238,27.915470485632632,31.932587805574144,33.95097603791556,38.63118420332886,37.89938464758994,38.01294655017078,35.39874378313734,36.753614235234274,33.88725050277309,35.760998013854554,35.13549744375224,29.298536455362992,30.298486902425058,32.02208237533826,28.43001003413646,25.636234494336374,26.887052738014724,26.729896927630275,23.507281155409462,20.36774423464858,21.001743808377977,23.276535755348192,27.061108610545777,29.162293262146857,31.499521732704604,35.81376983070232,33.304407308280446,29.088617006668123,33.30280858629483,34.9091951541871,30.250452856500512,29.984747043441338,34.27768063809744,33.89612704717747,30.865787877134828,34.78197934119833,37.090096378829784,34.46322045854833,34.309488144811866,37.319216303127924,34.56996884260428,35.496445731420486,32.843506015764525,34.79896208704554,35.04604912260985,29.594055291759144,30.090325688847372,31.729842943859982,29.597991714425103,25.621950168744053,29.977877234262255,30.00918086111494,24.830865941279704,24.041487058977633,28.709121169500136,27.927243071607258,24.224844788296718,21.635046637401746,24.66367825056105,22.687639959171435,26.11088525217515,22.234748964438623,22.017285800470038,21.56772981415472,19.6980403732705,17.455035158921113,17.20721654975615,15.136699871331283,17.81210878113618,15.308455741765819,15.67761733353558,14.423171163924467,20.047251606124508,22.186734237826677,25.855039197789772,26.282764417638397,22.342987149172735,26.090371000547048,28.703787999690327,24.46537047160671,26.106165595840856,30.559787789328364,31.11364390641789,30.96522428507821,31.9065376034319,34.27998929234543],[26.368822692060537,23.06254110029754,18.26263805876995,17.64929958440272,14.209154910677862,19.812326495725703,19.632263250663677,23.079110994782162,25.479941416293528,25.30026470468145,29.061895998566463,30.792341399891207,27.297355980713856,28.055839334136355,32.03784327629517,31.219883234337882,28.047719901897914,31.4095115247368,31.88888054289917,32.19680145249483,34.85724645314568,36.24615352015707,37.38218634087398,35.37316641553049,32.295896333374934,30.460219810105706,28.0195553114023,26.208947666186052,28.765340643944718,29.52236111303846,35.670451187038545,33.98351001159285,38.57490536148426,40.93969122400948,36.934261873889994,34.303674678822304,31.971279082210067,29.97533664273354,27.2967997248739,29.58594782385563,27.847145707773468,31.744539688044934,34.62078589446567,33.064507607324174,34.632619759636746,32.820112809809736,36.27018559903472,35.86064905154053,31.283904639484998,33.77995565341741,36.102724362185015,35.52700484828782,37.746428962039005,33.45823895420365,38.46706084163234,41.50916701147858,38.673506336458274,39.083760799701565,43.58988035621493,43.15191804158153,40.833968288681326,44.329692854333246,43.73518031968549,45.600581116541385,41.74131640932611,38.69573182543774,38.41873889691104,36.85919119381258,35.960867676811276,35.95133638044243,35.73171697159513,39.304901282263124,40.0556103624759,41.20653588365085,40.08071906089524,45.39755125701813,41.7861068387187,45.03749656434727,42.095915643502494,40.87892363753714,38.25965442115923,35.126457754043415,33.530146910221966,32.267215357539165,29.179283648588616,30.139502026119217,33.17214980782636,35.82514025082218,36.794484760290366,41.67136673068726,40.892973493083936,45.11848532817266,43.005959724159986,41.644026969260985,37.56117794645222,39.96504373937312,36.34539203891079,36.51816310238245,34.12246580028939,35.76547148034081,33.95626287357671,31.295367461050002,30.55397829523019,26.925618849593675,24.752647306441318,20.94135545625266,22.498093016069593,19.240071085613668,16.994027604034176,19.71374396170372,17.363766562426513,17.237916414928364,18.985901621105164,17.445354342446567,21.58865010207909,19.949249020488697,23.29837898596076,24.174183678358588,28.60734945237114,28.659392349005525,27.43297040743487,25.641757792164462,21.80020473678268,20.026968722262456,19.065917402756412,14.414479033336594,14.949543264418471,13.309907867122304,12.983916271285324,16.04383113208888,11.615721708040011,15.742466801855766,14.408098916700222,18.315041292118444,12.874877138126061,13.271030241164421,8.047588981853744,10.084307648862023,11.49374776377962,15.01696549021468,16.623236362026756,19.917272729652932,22.243995100512066,20.324801133871407,22.766093032343438,23.618245373467115,21.10318573349244,22.443464279329064,21.484056630808258,22.65119128107127,23.399298410751392,27.1642431154347,30.292568856349146,33.72944649977135,34.35406839661683,32.02689952200376,29.32061255017739,27.05941502745229,27.17718874211121,22.748845603505497,19.64724673542755,23.805777928502472,19.255649425440037,23.04356239555548,20.759629103954758,16.06875406866533,17.600211455002523,18.064143321388322,14.912216396316106,12.372416957346942,13.740144064802205,14.019536891218133,18.707538664525547,20.612519590650535,23.781064451034304,25.75913083689906,27.793824151022697,30.821894585898782,28.46690898504827,27.529977298716666,24.00443656215108,20.729279638397877,20.92822230608214,21.16832294569597,18.638906917597428,23.382991824078864,25.032361154137945,26.971779664621288,23.934710879641017,23.242300892237193,21.142102190996635,20.29638722184888,17.471454550340187,15.026746126128824,15.063407606659078,14.672040215851661,10.86158698108979,14.153290508614406,13.556378988758446,15.437220219870708,18.953028726958813,20.596746230236604,17.316068088199827,17.344508072921265,21.78324320460306,21.251079025881896,17.65528644430247,21.524065554664272,25.871010133679082,23.226872988807436,23.69467979627177,27.360501621146,27.713524792494116,25.89083948825842,28.209524528694516,25.218114936017667,29.832322593459494,25.232260574555863,24.74790975761166,28.635382935394496,30.200142603170505,34.985628757060496,33.902125192261536,33.82752519504536,31.04942689108767,32.260619020018765,29.415354715366213,31.118628344339914,30.538415791162326,24.77439483424455,25.65418633191166,27.32101011915643,23.814495551677446,20.962813403700064,22.185125251341617,22.15270653276453,18.99546687231402,15.68839977444577,16.421190534089515,18.79375858156098,22.516278011103246,24.791026952361683,27.27231149850218,31.665249899638255,29.437641860408608,25.11826660853844,29.385484766096443,31.28599274471428,26.863182218911444,26.475037699205625,30.965118013143805,30.9316126862059,27.929589816291934,31.506491066335208,34.10843954272121,31.948343452320955,31.450660386890704,34.16615774515861,31.236889582289376,31.8002243314492,28.982573509431184,30.652058985620897,31.172287062158112,25.906229977593352,25.922866517800177,27.631090963355323,25.777709082384415,21.53045632383727,25.654795269770425,26.07325785340626,21.083726098647883,19.798332803372187,24.557614272972693,24.24029128425434,20.729081143897208,18.62975948368694,21.911180101213944,20.634198838171233,23.787917722413724,20.379840269772203,19.575908520328245,19.79806437368377,18.510501301683444,15.657880028758807,15.096358285284776,12.291832089762842,14.282015944864566,12.327281786083466,11.960345527963291,11.921707634531142,17.713893968246914,19.632389482436214,23.13180532639815,24.28229036685624,20.579580142157457,24.132213490285174,27.054822931153595,23.425563446605626,25.28755496412555,29.39791763123461,30.045148475653548,30.18502589477604,31.35333361092091,33.683421844663805],[24.102512046135747,20.849339342320796,16.308285124924808,16.06383614532871,13.403951076630122,19.257209069187304,19.812314257198057,23.541313918265114,25.83940642243442,26.143090720584937,29.938274919484915,31.727744587275257,28.715529827907613,29.219830598064533,33.49865377696849,32.937358644799495,29.953799067325782,33.56144946020572,34.22525965535286,34.821515768980404,37.56769193076713,39.20819546166653,40.28756969099311,38.286966777043006,35.26306595294753,33.17849782805716,30.78322198839344,28.666771603108618,31.121258337885155,31.70195516807647,37.67298638701994,35.96540523171067,40.497646184089966,43.13117077843846,39.264167012933996,36.75010409383985,34.42882751882903,32.76723627886986,30.25950357954954,32.8236632145177,31.056065886066637,34.79194952029029,37.80391657935962,36.349193811274986,37.90561001681637,36.12666720028029,39.627193723997785,39.242928848944196,34.69852804927303,37.26341301977036,39.55661116806114,38.98047283606975,41.14084636378457,36.80306933228982,41.70262630080063,44.84094947651295,41.979904243761,42.22754882277398,46.78206653129842,46.44227003806734,43.97431828801862,47.326459589369435,46.57572349948263,48.43310500248649,44.68938083450923,41.56103832643464,40.99640606060376,39.26313215306045,38.121452545933366,37.83558970227872,37.5179402578487,40.97968386658207,41.92661797385067,43.381365379898526,42.296871708508824,47.794303440087916,44.39868344835061,47.6099092844259,44.81935698714719,43.80582448268067,41.13135763141284,38.16291727353175,36.31052195467878,35.23721604596695,32.28520079898209,33.02728943271478,36.087913435044435,38.51907106331025,39.47032051592823,44.160103095243,43.23737428717039,47.36265821127976,45.04996113076422,43.52889279541539,39.28209108229673,41.44871200368724,37.64351609984864,38.04556144346572,35.470476838131404,36.8876434946094,35.65368442045757,32.81407970147684,32.60015475252073,28.74175167796967,27.019988615139177,22.89123712893428,24.21483456860251,20.926195388145175,18.10790805814374,20.96457030630419,18.209089925605397,18.829723910055268,20.13956650967624,19.101044875446306,23.176676496219528,21.709162125543443,25.30911942604605,26.252481043874603,30.74163961260438,30.64359748121397,29.10967140926251,27.070789528263315,23.15984101362658,21.19449017905901,19.870202576017245,15.800696304964333,15.549494669531846,14.84906973623008,14.611514158382297,18.158100273526443,13.418746039992977,17.53823745360375,16.93522152180454,20.841255090493288,15.729705510679699,15.997305161365167,10.28954899175442,12.76587474924636,13.957995757329943,17.64815199901855,18.950513873971133,22.568167101516902,24.86104507758059,22.882936015996233,25.59398242607979,26.221892683360018,23.504207202188724,24.54005536012673,23.413021365425372,23.981194543027865,24.509814168248205,27.89165700351744,31.062224042907072,34.015875460466575,35.03400316492497,33.09210883488254,30.60773739351045,28.466471064672106,28.979585570978596,24.70688859873892,22.15906332560316,26.460099144741797,22.17146222482732,26.14734899794631,24.104218861847396,19.39361967991154,21.104422512107238,21.498422821460338,18.37283777420035,15.86439639905775,17.225595814486432,17.290029558749207,21.970956903934777,23.641517936784926,26.623598720078835,28.32511318929266,30.21422299778982,33.32441073697677,31.30688148657501,30.329310074209925,27.113484195317643,23.413946301163705,23.90156694204699,24.320088016346745,21.92535502307619,26.774579346497102,28.415549963083905,30.44752630001549,27.410790743329503,26.733511940462666,24.572044077601678,23.669850328906097,20.698181280875634,18.079991724128718,17.716438100052113,16.70025901487665,12.67447505823102,15.338306166303228,13.763489643462565,15.87054911463117,18.72958444506524,20.497635926634228,17.11492297338142,16.32973435727641,20.816544871390512,20.242677501777862,15.868959009804799,19.752898628911574,24.47807867384172,21.463905031676084,21.513427523304895,25.277318177594516,25.830470608964703,23.5783206727709,25.665061759518817,22.577785276135824,27.372260496784406,22.466756794327893,22.412467583670704,26.433353612311034,28.23685242996913,32.91001565639239,32.15903526828634,32.5184286900918,30.044385903192644,31.662956148223603,29.192612953835678,31.037132194807796,29.971769037624423,24.211730465932487,25.682885918171383,27.185455024038383,23.258012432208652,20.81516615678963,22.593339478121997,21.87687853829172,18.28767612448691,16.16650833911976,16.128058760321135,19.538070575670133,23.05057134865426,24.837328868465878,27.713637909529176,31.864533450180947,29.976843448404683,25.406418143282433,29.1487943594275,31.302255569210704,26.892641583081854,25.924405780495814,30.32631417888101,30.271742034053847,26.919835233036448,30.38039576149326,32.96725492533487,30.61060775755768,29.832349152133258,32.600076705961655,29.62838038228273,30.53856688547585,28.08659597538301,29.748031434656863,29.72815605668474,24.42194322684042,24.89507016390898,26.170603950458148,23.998819219284652,20.117701257818823,24.372595568224025,24.16757397371069,19.012442768268254,18.37226879204608,22.989241949437375,22.089599943072827,18.373936937563084,15.887560929775168,19.04692726833303,17.413536904665406,20.697822442683282,17.240019255324505,16.895530234087193,17.30890637232674,15.500210430257408,12.695958320940575,11.93823775116894,9.540078190013515,12.306812206144873,11.007963259729072,11.779801316165056,12.041696254405208,16.877200372696073,19.471923299848367,22.76510730945016,24.27962908379757,20.142510290378556,23.134843262880935,26.389097779111236,23.129411681947435,24.217351854722505,28.449441602385754,29.479692916065105,29.89359199499208,31.23570265642425,33.717242639778114],[24.173126014098404,21.052542331619293,16.831919314321176,17.576426745054892,15.37093202230073,21.415614028933728,22.563724892865004,26.230436741087072,28.703419872933235,29.409121017753243,33.196052493612726,34.84499396995377,32.148285741518016,32.70900108593778,37.04658809146418,36.500075148975924,33.66592000384058,37.34975299274574,38.08489238561933,38.639980372324395,41.39494249328467,42.95463563514742,44.04802966093484,42.002888716488584,38.99797161801103,37.00066705605912,34.592308653266734,32.5020187118188,34.88063089763284,35.31049854898756,41.32892637831185,39.42593027621106,43.92726210651747,46.67824453491569,42.813144473195685,40.418530613766016,37.94047223791769,36.42943964521943,33.89077763810498,36.19440276048736,34.633244446518546,38.47944023456078,41.3749453460241,39.85068859554018,41.38659235646065,39.47754575379657,42.898514053900875,42.588434793175836,37.95078219874114,40.27107144287386,42.66870061836747,41.98362280728656,44.26653869551386,40.076745641503116,44.94318641207341,48.116581828326666,45.40132442307475,45.727051072539055,50.22557810287626,49.89109058319301,47.59203043460233,51.01744810081822,50.289465018189574,52.21334141088802,48.437370933832845,45.31149083517682,44.83842116622329,43.085912059160975,41.9684985865939,41.61923471202932,41.30628213355948,44.74058519303131,45.713955204387304,47.22552871003779,46.094697292268286,51.58638265333552,48.155767867645125,51.29773122639172,48.457571332632725,47.38763711301312,44.58043749076657,41.5114998671178,39.53774976584566,38.29712072897063,35.48891528703471,36.43193339611799,39.65419570630651,41.99157796219549,43.1399136089698,47.75498238088656,46.931323183932335,51.08185444040899,48.72328312837668,47.09941531782941,42.8264148917235,44.93552345011982,41.0826407516069,41.39507680260571,38.673021738228265,39.75402126639077,38.79550212014657,35.59274317889522,35.658166431249086,31.458887531036368,29.60546857690459,25.44202237402712,26.184511168193325,22.615170207393145,19.73472514920613,23.01366857060554,20.489422055979933,21.803363752293826,23.249545554959944,22.61612161864711,26.79845310642527,25.47895947146989,29.13387918978268,30.089549678329718,34.590319644774105,34.46710978288306,32.88484154909716,30.761973619040624,26.86773736020642,24.812508325738964,23.255681503103684,19.37237715298649,18.419052083823434,17.954936393496833,17.278218661502972,20.534122376376846,15.227379871988749,18.83295219565181,18.645240069322043,22.849760122638575,18.23647084238329,19.100728718156326,13.374151119286552,16.39695417083187,17.78765247362398,21.455515888618137,22.74766033013992,26.268866812837707,28.68108787744095,26.73246260922154,29.386030348440713,29.97863542556833,27.265921479099195,28.12914457726497,26.767820089440445,27.152851438560297,27.257755987558667,30.554091829289543,33.43597622457777,36.20823571163603,37.62299373783831,35.82906660228643,33.61386711375614,31.312641195500063,32.20138482583775,27.741441649411623,25.52271772088516,30.0049149263502,25.83208087698759,29.65969636441445,27.5409779433168,22.841692617559605,24.157742304762053,24.29970291507007,20.935351083479127,18.917507235517768,20.20536165117915,20.73963037581547,25.271105522566963,26.884894831202267,29.871406368840145,31.37442532321488,33.49796839570032,36.30806144132469,34.42779837707368,33.20778443426076,30.111335859109655,26.23848573900038,26.359816716472476,26.63543397054729,24.566714543748887,29.69818612121123,31.6567204235388,33.429319475272806,30.429256442506176,29.34970809366085,26.88849361140216,25.966800246934184,22.584849319511815,19.83007897868874,18.99244493813561,17.212922513561093,13.578159177247217,15.64074158694375,13.595823523822144,16.47209284527278,18.34798790169173,20.739262187920303,17.73478151025328,15.817163360187969,20.194949916766745,20.257181561422065,15.424545447043268,18.698403195577924,23.899322894947737,21.203870235456424,20.648636003044572,24.289250192264934,25.48125102551717,23.05421016840377,24.471099284934073,21.13543242301859,25.726907317583073,20.03427245905028,20.387352754511358,24.427869824140064,25.91341515150976,30.491007055922992,29.733778259083685,30.566202849401357,28.26860793342152,30.154586593856287,28.203153906166925,29.76511189100048,28.197239634749636,22.762270571430744,24.603219551856846,25.517954367157184,21.313926751151598,19.43224383617909,21.431417267734965,19.805675563653367,16.07553865650013,15.205574458948934,15.061421645506538,19.549857190801248,22.69418059129829,24.36211788392235,27.70203365814203,31.7032739193853,30.41107995433162,25.64142228248284,28.93145674697436,31.567884388557946,27.463181303400333,25.895691773303867,30.31119968375806,30.52940391081024,26.91866921870502,29.89371026021045,32.688217265690945,30.52294909451829,29.15223901379597,31.67542993771637,28.500091413854758,29.441620190878137,27.272858596100484,28.508481897465664,28.146788052939304,23.125774634432194,23.52529347521654,24.195545743624884,21.992034110577936,18.335934279456342,22.12153378389956,21.436761915979826,16.45839742604399,15.942658454070184,20.100657948571378,18.84857413570463,15.168620874445153,12.987495788787301,15.571334125284768,14.267975204667211,17.87624672724599,15.110162482675811,15.256044932502144,16.642886628871796,14.398886893436094,11.350763049643064,9.543389373949381,7.450389549736225,10.780565253582049,11.378500726261159,12.546778700459525,13.985792549547233,17.829094504653213,20.741601586706164,23.639967041005505,25.846025763113367,21.642738743426474,23.935996772431015,27.585849881453136,25.017617224987244,25.527769493260486,29.61487420641809,31.022015881553727,31.772936409793942,33.29750052540911,35.79736551422321],[21.23794168744692,18.17418813687015,14.329900000640396,14.734410879330369,13.585625706964846,19.33468120935684,20.90376698387917,24.866276972007224,26.933310137225565,27.885880437707716,31.634629385725447,33.470913055645575,31.16523459083314,31.32204615477862,35.924581877148746,35.71234633611055,33.017537909008205,36.89912621876175,37.803989425100184,38.76133765466749,41.60680607486822,43.56707089599794,44.57590495173304,42.605177757841,39.653192142833376,37.26176578601288,34.93093778196076,32.451388209139516,34.74647170177601,35.09605708623249,40.77096707773146,39.05884989284413,43.472043908074134,46.44437353013965,42.788411333153405,40.442702547537884,38.16020575529597,36.93290713921533,34.65729285840231,37.56662893889908,35.76152008463957,39.27670212132462,42.45810104279309,41.14522211775039,42.6883604636955,40.97029006943655,44.53025900594476,44.16670130594619,39.68463273268638,42.34515428298515,44.58638835936893,44.011010931162474,46.084253711748474,41.67003547816558,46.42749265247055,49.691965572265055,46.790925238245585,46.817002691097954,51.43251359389687,51.23084206217547,48.55664810845039,51.70202799758179,50.74213796477788,52.5837168816236,49.01086427524476,45.77979656133028,44.8416475465104,42.883471772599336,41.43307464573403,40.78101369598795,40.34142519582953,43.620777320558226,44.81781467288139,46.67386774169729,45.644969294246515,51.35558712292991,48.26546757359896,51.40863962119608,48.834496785495205,48.09940158878257,45.36762642041193,42.631653945127454,40.4623597264767,39.65408428163018,36.87577104445584,37.32524989632372,40.39507649562359,42.53299351699474,43.44626167901408,47.86512082624077,46.75074174351478,50.71669553478919,48.145152931764535,46.420908509391964,41.98897308635916,43.810785522784094,39.793972314487384,40.50823722920491,37.72526544152213,38.83067941857103,38.386759178210625,35.36866270812519,35.84106422044066,31.76451854247424,30.66467415258322,26.22464251990013,27.27824744270789,24.077492732460335,20.65692378208292,23.51633171375039,20.334747851139845,21.809729949715503,22.505039707348594,22.111219395632695,25.970782383448473,24.763298626965877,28.589171953349798,29.623519542978933,34.11099636073387,33.80511601940915,31.901849853676953,29.57605026820804,25.688727354622625,23.531649261759302,21.786467514935268,18.646414153679935,17.475537409712317,17.958062698520873,17.882238177960947,21.84585843407054,17.05298942847743,20.99562142474579,21.194800688141008,24.971746238927267,20.27313563385772,20.341573999393745,14.445217795660774,17.12578687130078,18.069094905902592,21.823654173225844,22.780269444202645,26.7047065839004,28.908999566634414,26.869715571202548,29.86630891823371,30.210525184640804,27.285057001546146,27.93690260591951,26.63801493916973,26.43853903955521,26.68912622052567,29.46173902479117,32.645316581985234,34.86114542101754,36.40208265010359,35.023259227886165,32.86636942130623,30.94008768948074,31.940199119376814,27.962861209760653,26.113888902225508,30.51389475175797,26.576940257760874,30.747078153909225,29.006355487108788,24.30155171748628,26.221941772857473,26.580548292724522,23.501411966789036,20.981073270251493,22.32835617424815,22.13338070701931,26.78942431677563,28.18807746780301,30.923570812822867,32.28535193381625,33.951657751292124,37.15850125026212,35.57704899817479,34.57642050020765,31.75064732214215,27.597695524813513,28.45277741639447,29.088868240996117,26.830146021296898,31.756030510855783,33.35903776874561,35.529805282890514,32.499307904255346,31.87130211009056,29.671493694218427,28.7079792618427,25.62613214268518,22.86220009990753,22.134988698924325,20.547366722783366,16.474900965897664,18.29276724032175,15.64254400188345,17.777598112613116,19.58822005596616,21.365609488499025,18.00811011277001,16.125287114739784,20.398404147579036,19.717533374246997,14.32825282040991,18.048818263032366,23.176786931221585,19.606544746265396,18.94864097390087,22.779997084560023,23.6147410156841,20.667376575414902,22.328194362322257,19.151566042391494,24.203746148535135,18.9015222016633,19.644514348425844,23.79480196792824,26.01673830232929,30.39699382015332,30.24592331787772,31.281610587064268,29.347348686715367,31.549101578727043,29.671275981974777,31.714097780009663,29.97907204292766,24.383359342041892,26.665372053163225,27.934197918458754,23.536407177256326,21.777555650485382,24.265001569025376,22.667127671310727,18.62404025024412,18.279236214891892,17.1530931906619,21.69972616536891,24.790850485588624,25.80953708546997,29.119537009345848,32.82405481441374,31.41645775996204,26.635323168518592,29.520017276803426,31.951045328336196,27.652185514105135,25.890018293523635,30.019193976143566,29.905818823620418,26.11452830398875,29.33777169104,31.822068232522753,29.177291174032266,28.0036187277245,30.82423605860129,27.864991467868926,29.332690143859118,27.51568859804073,29.163168026738074,28.288217508962944,23.0439621010924,24.27746479419459,24.847803988099255,22.19842226063017,19.114172868199848,23.45010989086893,22.21583548726949,16.961482313547236,17.52644410529019,21.70179413128835,19.81873478548062,15.87971483527829,12.690844250932658,15.50677098549709,13.097467658294004,16.54970737700117,12.996937709367417,13.627146525946399,14.319661431530447,11.52455071438929,9.020899122780865,7.941106424066708,6.978641417855658,10.918110292190288,10.828911269106351,13.26065461727756,13.757235815673699,16.76711919411605,20.19259902060907,23.043062186775444,24.959264318401768,20.37981221515349,22.39746690896205,26.023004850391178,23.408765528093816,23.259310072192587,27.55368022227531,29.16473217881876,29.96067565501405,31.49201006567156,34.09677543699386],[22.96202889081963,20.09828107486897,16.869969964468233,16.13710463889847,16.150208677836172,21.271236065871104,22.646791938469132,26.983038136188235,28.30964444869308,28.84091069681039,32.53449504512782,34.89109814500349,32.40560592723079,31.864898349471314,36.6676454421491,36.79354839388693,33.76743797743857,37.45476891570456,37.86223086531005,39.28573034486089,41.81068631487755,43.989909862098536,44.609977123220155,42.388164169907306,39.80018864462418,37.26021709101819,35.41391010372615,32.96107023507745,35.64909722903521,36.46763179379399,41.745663130928484,40.673845305411916,45.07409370873092,47.886710222970294,44.329640225912186,41.675517999213305,39.88293522838844,38.207564388838094,35.9370990186224,39.191459131355536,36.70393431860312,40.036929045941804,43.44644344047504,41.93307994039147,43.1014777938609,41.26894929277668,44.89526483034732,44.91318659878744,40.52430817091774,43.38537915618721,45.890213994967446,45.64944376930349,47.73214521448633,43.23674155659208,48.266111643709024,51.21078799405345,47.96610856523584,48.1852968309457,52.84667265182943,52.2829499888657,49.38652980087301,52.501614936905256,51.65542608390984,53.03508677006252,49.47311415408099,46.488965319610344,45.05191164658878,43.32461663640322,41.36801710771811,40.87033795920401,40.04636986656342,43.09516116338115,44.75249781450866,46.60057365997223,46.084370404297154,51.91759856571011,49.090029762468916,52.508452117692016,50.11677506558615,49.46826245183346,47.14372457277055,44.530920077849515,42.7396516008748,42.093773170322635,39.00598982297745,39.245588001055,41.8742222051092,44.32815503273565,44.668991274560135,49.2858824191567,47.788370728020745,51.55075992119302,49.00871749280186,47.52029522989969,43.038069844036826,44.69532659697947,40.608764486351575,41.96448076418679,39.412393176850394,41.02116248114977,40.55029219814201,38.115408458267986,38.387981487197074,34.788234958336446,33.904112342078896,29.524096749558808,31.06998216801918,28.044392534853795,24.681657620176253,27.212422321370294,23.693692310301124,24.538780295856114,24.63205830629118,23.689882256225243,26.90725004000121,25.20516581940766,28.859404296499335,29.12694171770104,33.68829922887794,33.85832306697706,31.643509195773646,29.550915950274696,25.343713988659818,23.700880237997634,22.53100962794952,19.941192325961364,19.842978478391178,20.575562346196033,21.12837211386581,25.316879478864422,20.86170527298228,25.015647460495654,24.691854482120604,28.485560027274506,23.322845836038937,22.979435704111875,17.275388378735403,18.897836155732353,18.918160050680946,22.692590344184204,22.468822528470934,26.22750087589839,28.784457900592642,27.180889365784108,30.430397603789118,31.243923887357404,28.331359245377147,29.449284980908324,28.69282940588185,28.45077013299098,29.34902067152398,31.817806506083823,35.48991251700782,37.4130755962213,38.67878066500839,37.47965897358933,35.04281552651578,33.564884845401004,34.10318030297709,30.615469364338807,28.31884875121921,32.25064481558023,27.91032365742402,32.290624583630304,30.144508357456857,25.053163101690426,27.55093785635339,27.408983540613114,24.846956170697286,22.192539580356282,24.141284423657055,23.716781929002494,28.646592045892632,30.392996666724837,33.20820065665743,34.93507151562937,36.20864479229688,39.87425566363935,38.02445204289588,37.35538205859353,34.1904917977915,30.514007476925183,31.45724279088756,31.92025687469385,29.333319997435684,33.82195856983301,34.95778576423457,37.11441188991342,33.50867518467148,33.46233071824524,31.272718236628045,30.876236126172806,27.98554285831929,25.608555887514694,25.33353217761418,24.077013777482676,20.22839709978905,22.511461797644436,20.175141719669377,22.24234551721395,24.250618441701715,25.870767448691836,22.354273395569273,20.669853947886427,24.88544694856221,23.871788861411375,18.295403447563007,22.154592145779763,27.21551370600147,23.0683710950345,22.283932607238473,26.183667656193652,26.73778574162389,23.241273062896575,24.98894878702094,21.97415719849845,27.331828710407613,21.96633509813096,23.32688303087072,27.49789809144761,29.93640485954602,34.117714875127675,34.233252650102365,35.58281244789492,33.81101220765477,36.12545179642855,34.34045111037815,36.31953857846625,34.47798274629688,28.990856555204434,31.282672922215554,32.34467829738817,27.918329215166043,26.280698007599515,28.592799627309347,26.71231043824483,22.79720770830531,22.452951097570946,21.745571468855978,26.214095641305583,29.39214449011243,30.486668825293453,33.75158295462428,37.45843795563085,35.927148249195724,31.19091478171137,34.067605454171385,36.36885613939498,31.945453262078992,30.23759229073027,34.21907647223733,33.88790448075507,30.052421743044807,33.42475954424851,35.69576967013506,32.70097387936179,31.688457813037093,34.674511938689115,31.84475429701505,33.59661252399909,31.968160578725197,33.682357949153,32.55350941747771,27.327381376789162,28.815492699913218,29.172435997878516,26.376810780402412,23.580620165937106,27.773154757258578,26.140437858896707,21.000326044325128,21.80560365577086,25.593135236689275,23.27420440424972,19.37968454698775,16.111464494092438,18.029944365293623,15.035189304586138,18.939357340007916,15.310509818059698,16.930612839426477,17.145518696173752,13.45211605102966,11.929289490642718,10.923844198139633,11.092201596369753,15.383323578093117,15.05853524476882,17.64129391010511,17.39428534100122,20.422299534222642,23.978081244066814,26.93555717354271,28.344395542483987,23.594373077751964,25.670139979829777,29.074118934605032,26.053812611174678,25.543126860531437,30.130969202292004,31.75945793859699,32.36295916816303,33.719931572927585,36.36363157745665],[20.0073983973884,17.076778407100893,13.861746954699568,11.706935387555491,12.322699884064741,16.67287220373504,17.88739466815294,22.40168818267899,23.27006465627098,23.782863680379887,27.41499536948192,29.92325335641732,27.651471907390636,26.838457025500567,31.76921468046219,32.12587411241442,29.277357226544297,33.137732934333506,33.869644331737035,35.56381230946495,38.28362880059221,40.84616737056362,41.53090177571034,39.57960216001346,36.901919907587036,33.95246852487806,32.02810319339658,29.149153855808667,31.603700773730175,32.28034932802272,37.21972793567458,36.30646696845639,40.595272626303334,43.56008865807091,40.217423101665894,37.661133801825095,36.05487854809539,34.751076182462164,32.83540865357,36.736284785004436,34.1636928969007,37.0581376172901,40.72374471203869,39.60568293308074,40.95964363005351,39.531039255400096,43.28144091026262,42.99058556321576,38.86684555271777,42.15033679269767,44.25102457012106,44.057883353044325,45.800483260271896,41.0472800098873,45.80053673621975,48.911395558903465,45.54352843625879,45.29450634043249,50.05290226174888,49.791186065823155,46.48505386389345,49.219182396216866,48.06836662880756,49.494307533455206,46.2062486845716,43.028863878100246,41.24236955599901,39.22740352820521,37.117325167975956,36.28077761643262,35.47771897626018,38.46564967721675,40.134372989742026,42.29616696611596,41.71667089670391,47.692582578287144,45.167352163263324,48.504507513361695,46.379039202726034,46.09891428177144,43.82791622208237,41.62900953722427,39.62242198105339,39.498167721651136,36.50200160173697,36.14460505375346,38.603993945174395,40.769954704040615,40.91616913918498,45.262921059526995,43.542803755800875,47.14155008557395,44.42499255750818,42.847000016089126,38.27943701977045,39.737093073003244,35.57794868673349,37.20068609808932,34.6738097041549,36.4445146915512,36.24399237758049,34.17568629748448,34.65783928147544,31.404913146182093,31.307175204795815,26.817557530150747,28.912594321935945,26.473851855368498,22.830685315653053,24.62957226858893,20.565768112188575,21.09234053694589,20.40353524971083,19.55334895888985,22.364010023160763,20.869189198199482,24.656199066756752,25.30450505106413,29.74431670411432,29.518987604197058,27.11778267590455,24.792548404722105,20.754662182843948,18.91496066678049,17.59350392969036,15.755887253527947,15.82223507738157,17.30833999253969,18.6259155472391,23.36363474260511,19.90868154365473,24.40526623215935,24.302044877861622,27.374548968723644,22.179443579223133,20.823540284999552,15.439312353330713,16.401811995901326,15.968285523724953,19.626208739080983,19.484707588867906,23.718060952504157,25.673829759391385,23.807002924063635,27.307293078809927,27.658986276069317,24.578572772959625,25.415060294260613,24.786703654705555,24.095532654548812,25.33173313553457,27.367863044235428,31.39976387228506,33.02451577870699,34.082804014402456,33.109286237544616,30.604806495029905,29.55092582159791,29.993034363556557,27.110646260972498,25.144716235584468,28.864421639897188,24.979101530162165,29.62024635754959,28.17476489689723,23.443839757429377,26.525545839728128,27.03485612683294,24.78714917511348,21.484112837873948,23.181003835003484,21.771559956665623,26.605740253113943,27.97753198158263,30.411346752689397,31.98292400966903,32.70083560764086,36.78018527103212,35.247513034805316,34.88904903840338,32.09997678548808,28.22689945880275,30.08623361414123,31.04533093660487,28.24999942936879,32.368353506324695,33.05868654881419,35.78104866148391,32.46680697840483,32.92168489386355,31.25251657191649,30.591457327649284,28.261822382100053,25.86789418346479,25.815710894477007,25.10109361406035,20.700927956234878,22.953903125604135,20.49972028512593,21.469489430347757,24.06709996941444,24.737798562098426,20.83350894247757,20.159121421847995,24.255378888594148,22.25415266956807,17.08316061710236,21.58928848904121,25.956051975905257,21.140733994418728,21.015151885083444,25.016539989400734,24.652177431290873,21.232575151573855,23.878684616480975,21.342172146514137,26.9575043198762,22.948426923076344,23.80604984198309,27.902835753921625,31.01033706150992,35.226156943830524,35.61759908129722,36.46753858142088,34.71158632836245,36.92367288123647,34.680784015169806,37.26636488237195,35.82726744518352,29.912299290483997,32.15114496194709,34.05298182669354,29.745374825397356,27.649532027214303,30.164857275020083,29.177964720379073,25.09778990741265,24.063189876264417,22.698443828512985,26.335961561552157,29.697017275447077,30.393084422116907,33.20170929347641,36.76652367414387,34.67338828378072,30.17846520812641,33.10720495161487,34.80061259033192,30.071409162870193,28.795341835665425,32.501872895165036,31.710753768082167,28.095469829042266,32.029912189645934,33.87460496510516,30.46452538478004,30.213746601393677,33.5726159661039,31.122149347810513,33.08645681788937,31.38928432059618,33.7556539018296,32.72320940843192,27.150345530738065,29.136491141593844,30.08975435227414,27.149417616838356,24.415541116617465,29.37792757087679,28.08394939197476,22.634442678659166,23.75227880633764,28.16066625612005,26.069383255033987,22.02101265611065,18.131303035421283,21.12640976940756,17.68247026741142,20.677995757214433,16.04226068897097,16.910252708363235,15.631411712150106,12.658551833322752,11.8146951701221,12.517838677058396,12.386177844504065,15.95606628531464,13.764839281495581,16.640101778706654,14.92673168236917,17.796224142183874,21.27481430233852,24.404181905723473,24.980257770865688,20.174588199937304,22.608589973271023,25.522494833623302,21.928402854832203,21.491195929598494,26.257434187075113,27.62881762985926,27.960841383773886,29.15019055375392,31.812579210562458],[19.74649403964429,17.27575287391903,15.265093659277984,12.646016447339104,14.965851375448304,18.228789383233284,19.783094872576125,24.387487476535835,24.54101923311616,25.160551062962977,28.56309007556427,31.359428561496372,29.512846225639127,28.06158117778658,33.17127370238297,33.962934804757694,31.214637129627864,35.05249259294612,35.70306328271729,37.8651761327992,40.4619186606977,43.35040461029431,43.80091606850114,41.82269681989345,39.39523089763712,36.178637594141286,34.56278139886594,31.497054084049477,33.95578063773117,34.70925756423375,39.09419393140249,38.57820281245166,42.69393165111994,45.74622502558069,42.66554853700487,40.10008499019788,38.83272847821472,37.620354930234576,35.92433667848453,40.20771754206681,37.3196341160322,39.88782318277325,43.75130303843159,42.69543227533597,43.881531150387566,42.522947342496565,46.320078083095666,46.167090447481705,42.20644795368245,45.677788159445385,47.78733919065495,47.759503110375775,49.39451410989099,44.55416474399268,49.277236520304356,52.303323971023524,48.750013549082006,48.39505454101393,53.18512405455398,52.876961385741325,49.29636435461019,51.79902986036248,50.54151488890514,51.71161228626075,48.616799617038126,45.50922520757292,43.2058923409846,41.15976727422697,38.60164195127439,37.57556342654078,36.50209833847309,39.16737687039746,41.22714481249035,43.65935132238834,43.392660729383465,49.50663865137785,47.39238171413256,50.78248993106332,48.951212741398976,48.942231938248426,46.882210022954034,44.96418772642583,42.96718235793452,43.140855197715986,40.130113950079775,39.43646580516151,41.61994432183854,43.70824426414338,43.502385419163886,47.6935871066,45.638593576560666,48.95283035916515,46.10205594003957,44.54302912147623,39.9009223979537,40.9908245120274,36.73360210962369,38.93238933165702,36.47799542446283,38.35174290997147,38.628498796763786,36.88564059102192,37.64429871300328,34.64136777605626,35.05623008898299,30.521566060382913,32.74553750355384,30.52266764591503,26.701601173441198,28.234801882262463,23.908921086526487,24.466503225972097,23.12000464421919,22.383835480507145,24.520450852612345,23.02556366904989,26.68440090884561,27.02535921378293,31.317307187814816,31.154463588240958,28.396347051581728,26.073686353919545,22.11132446771143,20.535084167124786,19.36940778698278,18.635104647741638,18.79730257889868,20.902719960971005,22.537621504898542,27.4366572196014,24.21621316107751,28.706401172505895,28.718914781692938,31.66905801409743,26.498804093957474,24.870327590419578,19.67434267677464,20.27573549817942,19.365632838516518,22.83652586758819,22.020787434111124,26.19773198597425,28.088643714229732,26.430843564112777,30.118663257979996,30.462564384232458,27.357857972464952,28.150375362653108,27.74749495480078,26.597111940314928,28.035959089155593,29.433959203481272,33.68746189529227,34.641537205206376,35.76403990161076,35.27408341417638,32.84730017534206,32.25241695728687,32.67769158364619,30.362687202549186,28.61804206384052,32.03904154553057,28.309673024718766,33.06183573573019,31.709451572286458,26.975541567101285,30.387055325141343,30.762946937865078,28.793600647123913,25.421364400122307,27.27377637235774,25.609645883994812,30.42599291893639,31.752706550800063,34.01421440840806,35.544862276907516,35.867118669734246,40.21983154794601,38.84210325644183,38.67814153831726,36.0016331787433,32.159529661775444,34.30106596142237,35.33362753081182,32.45706360958737,36.348129749858735,36.74773590267834,39.58576542476355,36.107075294096724,36.89647140541618,35.30014777534167,34.80492657663729,32.57499255015291,30.26439374371433,30.258850538045017,29.506123934052667,25.111399796926573,27.24486696043775,24.556878194458008,25.406598758125458,27.7013244908452,28.174664636065135,24.278652273804553,23.400456134545024,27.225045226455205,24.93203245338346,19.565177291202104,23.91558635349541,28.1316320237194,22.79757955967183,22.38318636216491,26.288932487523017,25.705371404464724,21.734463311737642,24.30225606859227,22.081502253341363,27.828798179837126,24.095432536203454,25.52665423137062,29.532001714315715,33.024869589009754,36.91384450855326,37.79187825043075,39.00269429391787,37.60152605275791,40.08484431291039,38.090037632434054,40.815143086047414,39.115863770767476,33.30976654077951,35.85780905152964,37.69210217950203,33.233079985584354,31.408895668840714,34.13801828817472,32.83092798462756,28.64697219584813,28.160894312541362,26.518430628448034,30.408814930895627,33.641179164444445,33.99556095928773,36.86986532667952,40.17757549994778,38.174427808282815,33.70408330775838,36.21015734989316,37.837518166726774,33.131209003340345,31.614716592972762,34.983167128651374,33.97641655261849,30.256469239673013,34.16099850606701,35.706400454341804,31.941087552837473,31.750543316348462,35.22810114675031,32.997306118428874,35.387756801115835,34.108558870499174,36.58075250282738,35.05816987739126,29.585629092353358,32.08003125370871,32.70799962840638,29.522766599530854,27.35682366822032,32.31197100919429,30.475345698585343,25.139569616520554,26.87012217315853,30.94393734951394,28.327354161252153,24.31296180084789,20.160840380037587,22.63547133396544,18.61831307837616,21.471762756895547,16.806281816044436,18.478195488851142,16.81671707620008,13.257959038802682,13.53277701419471,14.440812659646664,15.325088960108248,19.059997153437465,17.177792684498165,20.52276585025294,18.610673519141297,20.50221351401604,24.220034628279308,27.090820289864222,27.44073350282198,22.540283557438077,24.431485262414274,27.185670600067017,23.75789290773812,22.42086188280044,27.22401649876932,28.819956978956668,29.182331464407156,30.30626086315781,32.99496442199496],[17.964083593836204,15.357154978961097,13.044568598109349,8.976397663176042,11.380858538425773,13.690013225695882,14.853721199882445,19.491694320590245,19.386214750725756,19.96701381218717,23.359064973993164,26.159834406973193,24.425245867715958,22.977001890674217,28.105996112743703,28.945064421778152,26.420210333824635,30.426662883600063,31.50129484770132,33.67849431445568,36.523394368960375,39.601647478891785,40.248335627552194,38.59770154764321,35.97492164009214,32.52579917096373,30.685111897614203,27.306255647553165,29.43052822684681,29.9476812204663,34.17954940523572,33.61997967726333,37.65634233506805,40.820759342653,37.86811618221143,35.459920384571085,34.2215073322142,33.409052183260734,32.01309153062053,36.66515026830974,33.93638893234176,36.18198775819571,40.135433202250745,39.46687703552904,40.91736641198761,39.93927911967543,43.772739184040944,43.23972116963081,39.507357362061896,43.21480593192397,44.896820867033526,44.815011828709096,46.15902156930412,41.184490708839895,45.57723075864727,48.790352201719564,45.26808937622119,44.49655081947902,49.314823184706164,49.34918832155842,45.549313666216655,47.762704196644464,46.25119007461236,47.611771292621235,44.727338028269436,41.40586855634587,39.03997148156124,36.706292149946734,34.2496224682539,32.93100890261813,32.042155790654604,34.78542692553486,36.62991866834074,39.26355136704158,38.74691348023319,44.89863428814119,42.90464221383357,46.14114739796994,44.448172625995895,44.681266437283824,42.571309058952046,40.95266322135856,38.740032121522304,39.28187510206439,36.437332739186836,35.3276957159974,37.458347908657146,39.23923300411931,39.03367435574544,42.962803570211875,40.870487296676984,44.13558562848344,41.174377686475005,39.50116504483424,34.829414378246994,35.86837084558311,31.59466971771282,33.78170284136638,31.325152315154757,33.28615224260974,33.64849611631479,32.14623086882323,33.00828726621815,30.288177624516777,31.2592477748977,26.76068338125064,29.377143728104745,27.68332127113439,23.828754415547767,24.703465270989287,20.13036008309029,20.338405475390857,18.42948803837598,17.838058214934684,19.696089301059946,18.547149998157078,22.317860662263104,23.283290020182438,27.391576044643834,26.718606958199434,23.965978365972163,21.37501323068384,17.715372900850777,15.779799601977022,14.331877880420803,14.257376171634059,14.50493302761071,17.112421946903677,19.286878564187678,24.37639968979372,22.120680181230643,26.684447157892887,26.85972158668437,29.126023126923087,24.147886829795205,21.79951216606114,17.20459681488074,17.30439871414511,16.237884114049873,19.396307706733612,19.04428901340889,23.56024438664323,24.767218473028795,22.763413681217706,26.49859296246739,26.31121027693482,23.12254478253861,23.556832488850368,23.181485268592997,21.727939444964182,23.39769290022971,24.543069340882568,29.01225446892683,29.93210693896448,30.79442561667794,30.340584567999496,27.853893427451943,27.52232828776127,27.869503101829142,26.002196212701243,24.60357455036978,27.85280798802655,24.676727757055605,29.483025155517222,28.84011290633316,24.645397122062153,28.274791515995478,29.296597469180593,27.502398440685514,23.76422734060341,25.210371978287352,22.849494457221542,27.360550064168777,28.277543627108074,30.164974182281252,31.496807581347877,31.436521281543882,35.98788900391032,34.89991243184217,34.93774025579915,32.65512333497973,28.68711250024853,31.501780041880277,32.93152710469431,30.004242969213887,33.57943210143048,33.71343470009808,36.96725798417954,33.939811171883335,34.96663187596709,33.8225319118836,33.00222737084674,31.249416644948216,28.93637699516938,29.067572940551326,28.768876438963478,24.099168290256824,26.152296751158904,23.583451332998578,23.53143168219942,26.357086493267104,26.06943301255937,22.000913890162323,22.161086385609615,25.826682964030443,22.86789724232245,18.305825790946983,23.03914566603407,26.512483532516775,21.02058754508317,21.416324311561254,25.28651335611866,23.93091558107628,20.501180445935976,23.88358813763431,22.05466086081523,27.724580843395376,25.155170922967724,25.7967796587281,29.65299338549657,33.416890599605445,37.43418010414977,38.262529892261114,38.833500956233564,37.280269212871914,39.49231864596972,37.01339271153262,40.13729085010993,38.93578733656851,32.830688841469836,35.1248164832715,37.647917299708936,33.44127397893207,31.15676393380464,33.88345111875245,33.45924530045023,29.28498256701743,28.029545670560804,26.06047573731563,29.02801880126066,32.375325665071685,32.541458948915206,34.91604124037593,38.152977345630056,35.6363294934355,31.481849103595117,34.17385225871197,35.23652358319766,30.342182021065252,29.3917820680777,32.57552207102152,31.25322520623698,27.901304034695837,32.2565862101074,33.51124254726757,29.605246484931005,30.137670353352185,33.82339335192351,31.883384066602517,34.187222059922,32.66039141943755,35.60134238601919,34.4531502770888,28.769247257407393,31.360348640880588,32.64610527216989,29.554004466101667,27.209354965619198,32.65235538196843,31.419245793021698,25.92832623060863,27.51291981209046,32.14312850652451,30.04198730861209,25.988420604992825,21.692066820567838,25.131072202069014,21.292895442945838,23.440407077472535,18.282301439899953,18.788655078521817,16.10571912482826,13.908737998037628,14.19154130580874,16.115994808700428,16.20725359504844,19.039203943140073,15.690095084620138,18.78759003119452,15.783073552258022,17.69043523047332,21.007503545629522,24.033690632090217,23.601477427515828,18.891267282937008,21.319798329233016,23.51379785631726,19.472467400673676,18.652855387577432,23.518746647239187,24.689059654883046,24.724937555140198,25.672307322618526,28.337987619547487],[22.955431721009393,20.171335370618934,17.046371129154124,13.15642123932839,13.635449622250494,16.50656271827773,16.385443802184678,20.941487631341996,20.886273285640986,20.298119144013302,23.792769572242527,26.877147292946688,24.005895441670447,22.52897324134487,27.442368772837693,28.034838341093774,24.769734157957494,28.30795712221317,28.59306083513831,30.707063645448738,33.17252452424865,36.014310995678834,36.4226053289616,34.44712663329162,32.01767217074157,28.816545530396947,27.296463247522976,24.385607891094132,27.15214829836197,28.3733052764682,32.81889460140062,32.683284566139754,36.92194930195497,39.55256589129674,36.33651951096972,33.4505466615112,32.471067225467806,30.718778158600347,28.972285763519444,33.420471065265616,30.193189506082962,32.642756014428464,36.56966158644506,35.50074048812484,36.640541376822384,35.41858568228858,39.24473327837235,39.04387198005313,35.251518324999466,38.93786853800553,40.947100946921836,41.10131808107866,42.616168670066514,37.71905609855036,42.530558307127095,45.34905196582989,41.637171564488106,41.36067631196381,46.142004381734765,45.68503574568003,42.02784861633308,44.56464728429791,43.44340827663484,44.477253618686234,41.30216439933984,38.30268385016014,36.03847929088566,34.201390219683816,31.70684162492962,31.054255368529727,29.976613179583648,32.843329346788586,34.774725252512816,36.84756102844974,36.68140613914099,42.70340616785878,40.43753588406065,44.00878714631549,42.11089894731497,41.99450599564466,40.215047772951806,38.317891832391,36.75616018784337,36.99842229487692,33.73444351057039,32.91625942697572,34.761695098730044,37.1886951998759,36.65518962809214,41.14999631239259,39.050019276525475,42.43539081454377,39.83227671211164,38.587480494531,34.08746637363503,35.512288309597885,31.436580962575356,33.62180736768755,31.545997806909515,34.14811898333305,33.48856380738959,32.41343347723387,32.338448729936175,30.024570854718686,30.2660274751711,26.13143769692665,29.106051013132088,27.242540724816287,23.989533106435527,24.969275164171673,20.768620960622172,19.87902118532139,18.467360636326934,16.6228255659906,18.376459265910125,16.278881930174517,19.732554732018443,19.77193340299471,24.172630840538524,24.29416186654672,21.700633131376186,19.69931715325513,15.395923825989152,14.236768143343957,13.992925334401198,12.83643128851318,15.013992054736871,16.348217574778175,18.60878426620085,23.33419308202706,21.101131485574655,25.76070697332522,25.012206565514973,27.498253024428685,21.99526378854856,19.69743747172693,15.465801683651183,14.536358160663772,12.756737227394952,15.98043054045654,14.761654745953724,18.927335726362802,20.706983936977014,19.17386414186072,22.889619271570155,23.537375265541154,20.56239496825376,21.93922099842285,22.152668819017872,21.685628253660045,23.988561681253373,25.832571345318893,30.434400807933795,32.14907621521373,32.36681810863959,31.280253884154885,28.25497888455551,27.802343836503,27.33816804549417,25.275657617897963,22.72476821656576,25.57666683622487,21.551972433204877,26.33522727844276,24.93928074474754,20.364469464225667,24.241041214096626,24.8258681952705,23.433060783062807,19.708225505693463,21.6388656043698,19.401188869799476,24.148592225936994,25.65882951408448,27.930883462152103,29.907236982967056,29.956540251713488,34.61858979618077,32.814585684369014,33.023367703512996,30.04544393091032,26.900109288094335,29.21908949294124,30.229186562744164,27.040529623535143,30.24495936759994,30.136883192383156,33.13624875412803,29.61701758110625,30.97662541401413,29.829340805987364,29.510726844083838,27.951753229776845,26.078187747333647,26.718260798783987,26.902727447450104,22.611537671405866,25.384628456235742,23.650820902679076,23.96419547123451,27.43176741770386,27.511824007027073,23.43256496203122,23.963779261196056,28.017851582629326,25.48773685180221,21.171103334233344,25.98484452039764,29.70034895209006,24.757842310188206,25.32450552919339,29.27067824943398,28.15313892318946,25.086394938359827,28.382440966619537,26.22792189388586,31.82647685148177,28.56453825290216,29.023021725263426,33.0172573805955,36.251450490522515,40.548656243109775,40.84528143923913,41.23092165077173,39.24669611578694,41.11969336020614,38.36620755349864,41.08959032549955,40.18085120148627,34.05939522911547,35.811596600773406,38.123081175765165,34.13207110095796,31.552220035887157,33.66962466377792,33.413915703307545,29.574682885341947,27.421203559836105,26.50152762974487,29.032497914422386,32.680854282986004,33.628777699831524,35.863109878208476,39.56717495210942,36.8104321605525,32.70029424447274,36.1248796385277,37.19891342356729,32.235748839654654,31.764029586975646,35.344414522995564,34.22006165595044,31.068837130935783,35.46967587786759,37.00948275443129,33.42697161750631,33.93810457544904,37.49299971950863,35.313676576073064,37.16075611471726,35.15369894861271,37.864562853464584,37.26546609186931,31.54122525193329,33.41924816478969,34.92782395451852,32.13263325980188,29.113006211383,34.28039480553517,33.49341527005652,27.98738228769404,28.706222297811312,33.43391252397234,31.736328333689745,27.703606023578924,23.901082820385742,27.12726585072264,23.760697005435205,26.61071928762613,21.768004040729274,22.158418491773382,20.111958744134387,17.873734194238388,17.264697427717017,18.385756104185024,17.73356503793597,20.755692574408133,17.33494076827961,19.436128414964223,16.49988836561085,20.171818580066777,22.961958044544986,26.423256948612806,25.861226246077155,21.4388005563015,24.71734515494989,26.799424585810947,22.169280091166094,22.552296296978675,27.36450474550152,28.040481787827527,27.718418668187702,28.479935687552146,31.024696328411856],[25.112790811511612,22.809584783386594,20.706966593056894,16.166242775300944,18.016777768434984,19.50078801367766,19.295503559298417,23.764095581464364,22.562774300429474,21.590529207759833,24.6057333946316,28.23271614256103,25.629190704645005,23.084975726143497,28.04820445560233,29.26428344937981,25.970681712335153,29.16475672538635,29.017872315429333,31.875155747647288,33.9480027970803,37.23316550280086,37.171035372186395,35.128791996054964,33.227440574932125,29.698629667900175,28.862406848866712,25.871235040709305,28.75805522991984,30.34037911030237,33.795124504433105,34.53026623283544,38.47837957592572,40.97607744359693,38.15638968970054,35.12675412340675,34.860875526532034,32.97897072794093,31.566640370042467,36.51553966028171,32.68683334499306,34.5280713282833,38.70549245182583,37.68782001456615,38.45146444495003,37.3674620566144,41.20505831627096,41.2801034585688,37.87446216463332,41.8390898964281,43.85244757762249,44.36001524223918,45.67347467945166,40.72211084611405,45.50267355581706,48.01603606691355,43.98095647886887,43.64810165860783,48.40172244172798,47.74120542738662,43.68932523512944,45.87226192947076,44.705521959132994,45.182054474262124,42.30322851112731,39.56968040355313,36.486759183002675,34.7982743063379,31.568752398523618,30.856883203923918,29.260282962970688,31.581108882808277,34.174015706710335,36.45751210507844,36.95443228920544,43.06953143447016,41.435742798015355,45.16737793052104,43.72653493715563,43.96024938402074,42.69813323278572,41.238435162106555,39.95578410994159,40.62165180300153,37.26114805314764,35.95614486263088,37.17171937650792,39.63949796451043,38.37953929953446,42.739291475865855,40.09569831253011,42.99613901568894,40.35415698525625,39.350406442956206,34.879806209265226,35.84190093839669,31.77031458363444,34.88689897833974,33.16373996938469,36.226635031944866,35.867072286988545,35.57522148180124,35.540859101357064,33.88593100028846,34.703594242963874,30.72199519065847,34.026578695692926,32.506215400117675,29.23110024127553,29.789676806047417,25.398079509024175,24.185169901919302,21.96995904157545,19.9837028235295,20.420608644797447,18.13493797969553,20.989860743180405,20.16856973583297,24.17858028230516,24.673791432931544,21.60096085800098,19.937608059564926,15.806181236879107,15.564458875038236,16.104913475202174,16.55901620693794,19.259221325171158,21.05587822463036,23.715975846727307,28.462910436218877,26.67906051230429,31.33358218013938,30.494410965268106,32.751437168317715,27.251452790043032,24.58730707435712,20.88780913761441,19.310582449714342,16.84248853536741,19.402613321660695,16.87014468171671,20.562224854599698,22.1984291746909,21.246632294159276,25.082386365433496,25.922034654911513,23.12949026708279,24.67677858907477,25.480998403268973,24.65376168265058,27.485803639225235,28.568501413038067,33.52397907509608,34.5673388882521,34.49553496002021,33.88368038810434,30.77803348663974,31.052567998380493,30.209487109654326,29.090150108773052,26.596954552001453,28.686514805949724,24.867896562711163,29.623077281606683,28.286742531682997,23.88911647487739,28.224027909524565,28.560042884925085,27.797992986889543,24.063983053892308,26.219980013696794,23.651228444665023,28.183323530396017,29.708858116652358,31.719773037639325,33.7932810513605,33.19398600026444,38.26776736176141,36.50739406191489,37.121468922689715,34.19074735712804,31.445103875815082,34.066737679402685,35.09064627263675,31.750787017439606,34.34815632940806,33.643734309319704,36.748227743269325,32.97102016361168,34.99251670991033,34.07797496571819,34.12049783842973,32.88855367606348,31.29691813011853,32.16537612502748,32.51239336075598,28.30300661890914,31.115192165108773,29.33152881312125,29.495649000760388,32.89302694571711,32.72691270532748,28.611225221397397,29.169014679133234,33.04961002395537,30.178922330161665,25.81651824500184,30.607049058573136,34.10327559079206,28.696857570981436,29.177939183271537,33.0421196985115,31.555670417803988,28.129229314902304,31.51142652005717,29.69980249078891,35.406446733184644,32.47457096911418,33.328819603743455,37.263172936634525,40.83817518105917,44.90070286832873,45.57557643551867,46.17839899724128,44.4182782301648,46.44927877986069,43.77691597982724,46.63112858109919,45.6146083240806,39.5065063405192,41.41027891993026,43.723406518607945,39.64204486606918,37.17328355416185,39.36644636429674,38.94730348877439,35.04852875886975,33.11467137360578,32.116442872701334,34.69854874616053,38.32017772502814,39.079727176550676,41.253355748226404,44.794607777872194,41.94211499164409,37.94398079999259,41.14645607550266,42.01024411573686,37.00944516314573,36.531361550347874,39.796092081377836,38.39351051012724,35.27936494623337,39.775117709640654,40.97203708098786,37.032146379559855,37.80474461619972,41.514353482405106,39.58457585312453,41.76646897025821,40.026720578424936,42.905503519054555,41.99636641043688,36.290792474253564,38.55546365069868,39.911234155965644,36.928722641527166,34.26016071296221,39.48441564787177,38.3424799786296,32.858002185943285,33.96100692809448,38.5125195634996,36.44419836762804,32.395994609371414,28.387246474585844,31.236008371669385,27.447329101228153,30.25483910935574,25.36098510415274,26.28810047774687,23.84274130418227,21.284964414014933,21.427964539078854,22.68669670396762,22.66386086493969,25.8880912482065,22.54440363900061,24.9413043896676,21.719676173857295,24.717922503380244,27.55193095566865,30.852274562421275,29.777409480751707,25.43853037516236,28.422102553756837,30.099133326518203,25.378951992088467,25.136384597392684,29.92565875473985,30.59151981072343,30.056540228257607,30.552565156858908,33.000334287144995],[28.87839190407995,26.532371090049843,24.232604443881804,19.854944531003028,21.236814545761426,22.99870413066364,22.428314307487543,26.79685296172363,25.558101980219075,24.04988833369084,26.963427021947563,30.741676954298505,27.645595330124152,24.96397971622174,29.680538326220372,30.847814288360354,27.160268098157072,29.87391361847888,29.01271760673291,31.960300600720945,33.57702315796365,36.72700902558401,36.320815743074135,33.97338282740694,32.446693040849425,29.121893538265834,28.771491939377153,26.219700654427086,29.53379843225176,31.624740173860143,34.959945008789134,36.117536663663145,40.08464381238981,42.19632958048144,39.31487364244861,35.980883830457785,36.02101815947297,33.49704186900225,31.907917029569617,36.67771008619462,32.40780177405053,34.2666698636622,38.407449057857995,37.058761732535174,37.429624340918004,36.13244289857038,39.913547763903786,40.388573384673094,37.0366226667072,40.95495317066405,43.26841098186952,44.02335093523506,45.45150435767678,40.621303936971074,45.68134174845078,47.80481714514032,43.597821755919796,43.66961576890893,48.34009011124582,47.23708886632077,43.266897912376415,45.61580143906105,44.76162159710788,44.82977891814373,41.81786341734912,39.451701166151075,36.27657174895704,35.04720729288592,31.634702832548196,31.42552564775709,29.56219719973856,31.750093979307444,34.57952790563267,36.466955367763845,37.4129922495252,43.38144054276294,41.72460789168236,45.6987588307214,44.22361825373706,44.26675556715751,43.35318982713824,41.77469561689813,41.00080831000902,41.495366426006,37.87504494516055,36.745862715191834,37.64017866847323,40.54094176494564,38.934263406970146,43.611511942871346,40.877386267101826,43.7142738039013,41.33657063147304,40.67816505696246,36.38021568908075,37.46162546038304,33.56914280239517,36.821206988183356,35.3867694657867,38.80316482469798,37.959189216677984,37.971933078027405,37.44714041658435,36.07216921842855,36.49853947616444,32.7648287918362,36.18127035284374,34.54312454438385,31.57969394877791,32.2477165430195,28.076742846527743,26.438668365045118,24.48696201118119,21.95365692529204,22.156566890667904,19.35798541018667,21.712137128526756,19.91332836584554,23.90348063196333,25.15074477271849,22.168151813256355,21.096178477119285,16.791194293503192,17.299300762430956,18.55516741217141,18.6122898123907,22.021087634939878,23.23733148359317,25.825619770456065,30.286625732597656,28.426900886392247,33.03978277332379,31.699414146333247,34.13325039030035,28.424567348690125,25.93704416180763,22.496979436578382,20.480528453477117,17.66892142484199,20.019407623386005,16.5774204842333,19.561069354556814,21.69293719263942,21.35996372950461,25.059479187614436,26.571803427722454,24.05887110214695,26.191615450233286,27.37660642350839,27.04260440202214,30.14404080554294,31.475774892064035,36.46395251951157,37.77925969704694,37.42050276402226,36.57438509801049,33.23917090873446,33.5113124441679,32.235604555738774,31.10368110134244,28.015991201155806,29.723015191347976,25.441353591101677,30.03138481748601,28.107147288966917,23.51478742875141,27.945474996472914,27.7566698188172,27.410167041547236,23.89329535346101,26.42545612088495,24.09680467083694,28.64590394411453,30.571957886596053,32.78492790128625,35.23880299170063,34.6637787620298,39.76748779075657,37.57967499628299,38.32012839322028,34.96521522710104,32.8260905379765,35.05371444408938,35.74192896970301,32.29064802579037,34.553460556550526,33.63054766450846,36.45112173382942,32.24114444601971,34.559492012369965,33.60953543977999,34.13350344042583,33.00614423337056,31.767810321213524,32.92289620656951,33.46180029576454,29.598920581987535,32.742822176036405,31.34454144403128,31.81607664320223,35.369997287166235,35.472601008433806,31.38864756409267,31.918690973528463,35.96626910837026,33.345774083739435,28.924233559512437,33.69593510558603,37.40631521652562,32.16889759485247,32.57782085797595,36.49118520417886,35.18482690509714,31.749113613460672,34.99491038394221,33.01574569131657,38.736695222532056,35.34560580136481,36.305866125461385,40.321708614784036,43.65557648701642,47.785922198558374,48.2754859323542,48.94665031237156,47.04453231676644,48.98577414741485,46.29183659355832,48.88398859112744,47.900613546940505,41.863990499892104,43.571295633060465,45.63209722933147,41.61565462302042,39.1252617512441,41.011487953310606,40.47716589497969,36.769424990189634,34.598669743663095,34.168296527259834,36.70754445137538,40.42158801349453,41.55879310867408,43.74702427258784,47.49380549491417,44.61623933358293,40.60359102644767,44.07275282229974,45.01917058839703,40.018053000802595,39.645256704991695,43.08378878306443,41.787947601837196,38.68736207163864,43.14735238855737,44.483422713281094,40.6503022036463,41.317457572169914,44.96485731841183,42.90270622456937,44.94621518600455,43.069561605247145,45.7799906056894,45.00954075455434,39.321351474377686,41.30239443016362,42.615149039956435,39.72728149569427,36.84102737732299,41.83955732811977,40.746192393918825,35.30811273313696,36.08995111221112,40.52556271470363,38.50967304576271,34.507512540364885,30.75163000481317,33.253487900628464,29.634885632782634,32.84099426345343,28.17806203211832,29.292502621187328,27.19199396861119,24.39021986855472,24.277420990306048,25.08849272020166,24.96219453245993,28.400285678501746,25.29148698579145,27.363259748738503,24.35665109521612,27.927709774740222,30.639689969092537,34.073209384278734,33.02400528623677,28.76813945844212,31.965135703558573,33.668317006574114,28.81153556053366,28.858791214999748,33.64362552216584,34.20289251722884,33.553945410654755,33.966033486737395,36.332910344929246],[28.973555044900447,26.876182458599185,24.94785585447237,19.989897133186915,21.703988381370475,22.214167432668468,21.237128966529063,25.307627842765356,23.32010039753639,21.470129421454814,23.97985261347371,27.998264094804366,25.137099161050823,21.877821119917414,26.51899309016805,28.06240866847893,24.572146873572017,27.178894800184825,26.455145839168285,29.82243896930366,31.45395276732829,35.00923807193534,34.55423893870386,32.510297324531926,31.07106162465221,27.365655099034186,27.16895477527752,24.31291432509863,27.359524183991585,29.4345243875409,32.049678565986646,33.64941240241421,37.35105348034527,39.46520547440926,36.92642770242674,33.679647929558904,34.12135823591214,31.903056091593776,30.767328583575804,36.04711080828546,31.696168602648743,32.942524109440434,37.25785339025228,36.30752480681754,36.75607375457592,35.89427973512067,39.68176353172028,39.919331392965,36.97019778394305,41.18589100069411,43.09595297559116,43.93830525088186,45.01397971758026,40.07366253240532,44.78435947268619,46.93636350808154,42.6384585439229,42.29775508528315,46.959184273955486,46.088564186764245,41.741912199320275,43.632824056009746,42.51563548985353,42.48106906190011,39.83190844056182,37.404479488090494,33.741846736508,32.32505945142407,28.591538437823225,28.079616328678444,26.072403166499996,28.00370375243967,31.031076622712643,33.23227450017799,34.32225868503008,40.36373715355495,39.166083690383346,43.068057929328994,41.96139667960901,42.4025237188225,41.69683395906897,40.6017639160924,39.76923781469985,40.761323928813816,37.28418214294989,35.58778075786155,36.12586267797846,38.747943305580144,36.78777737149752,41.129901455331364,38.08976889610237,40.60805795484968,38.11852717815413,37.5007731658654,33.2330208570266,34.00873487978723,30.15710244435588,33.88849454789025,32.687191903569364,36.37943363325161,35.747328308684274,36.350729382936095,35.9238225792235,35.10733864631086,36.20033719722619,32.62560273594339,36.37560501516109,35.26577668083431,32.31049115244437,32.37057324737377,28.088655870025455,26.098579096547407,23.476109504130047,20.98635845364065,20.21090773742722,17.613430308043906,19.60194383289565,17.885935717045953,21.39393879513734,22.381489425781663,19.13492410083122,18.106553850516406,14.27431269201481,15.175384773061092,16.828319143139023,18.120059932956636,21.814294729556906,23.41723173881668,26.429090583475208,30.914514509990116,29.88170507545914,34.4591372454851,33.28162631908747,35.12138246025723,29.667300923474734,26.58703115416997,23.83084080219495,21.319739706837037,18.219934025507317,19.939714395546392,16.42963771505543,19.401042397605018,20.699920512395458,20.356903352682977,24.083063709950174,25.19157180679632,22.763471919071872,24.67178498387142,26.184759800440887,25.506839145872966,28.97634134880072,29.736003490672665,34.912127655516215,35.857549955456406,35.14830410522623,34.57281695311417,31.209674031275522,32.04108207568223,30.51494733172636,30.216274918689745,27.4740902347914,28.634592226160624,24.999765220149374,29.537514105122817,28.299309311631575,24.350696143773117,29.036846145710832,29.322153312976766,29.29401812021363,25.554400984527156,27.766716661328953,24.8135764573027,28.93211052216231,30.48631978027027,32.24137355885865,34.53607111693467,33.360848470183655,38.745990144871634,36.84792046166028,37.9136707979487,34.954858697659894,32.89489822725731,35.73029850075729,36.73623798250378,33.25184823623913,35.02586924253964,33.66021037699889,36.849249944426894,32.993312721349454,35.71434781600695,35.226638719052445,35.56610814167193,34.90150859035329,33.7204497191113,34.975104720734464,35.799273211188414,31.779707371919713,34.78310959476587,33.37382892198556,33.24283615341442,36.97991595379593,36.52689831608701,32.41572967137233,33.49668360199005,37.30392803566341,34.21840910876912,30.300218863585823,35.154279551762734,38.30431656605707,32.90044500532566,33.67648634214801,37.45893235908638,35.61116808374723,32.398843131080035,36.024519847051906,34.42097199260777,40.06959805790517,37.49333425554173,38.19507784381452,42.0650135425559,45.70380021687733,49.773862781989045,50.42799992056473,50.82196938979445,48.96458881992051,50.823359649566,47.910918909029334,50.81951712136687,50.07109935519656,43.895087136984515,45.550186124508514,48.04255744693868,44.13158011948706,41.45447198659685,43.43235947218826,43.352144876198516,39.58505450904804,37.16765380212203,36.40219273358554,38.43905484655861,42.15244325805527,43.029055782567696,44.87450986441812,48.44259947098418,45.24985692070632,41.529782100112854,44.93482719474019,45.43408568155626,40.38472767444971,40.33763441532206,43.463306128539855,41.87635017013952,39.06542317736889,43.74633594053808,44.73563183962433,40.72913649658858,41.91044459741184,45.69360872201295,43.93762741964064,46.067437910159136,44.203023655973176,47.242495155629435,46.53530463210386,40.79264801410025,43.00706759975092,44.6092421099647,41.6955954691886,38.92007118080304,44.213339524163096,43.285618756927235,37.785842025676224,38.71986355987692,43.39195372424125,41.478404525880315,37.438352903518116,33.467959908942035,36.3841748769412,32.6224734756456,35.38758263044796,30.442501784911943,31.200881137921638,28.498440124537723,26.24150822301057,26.43957344663168,27.80242203904007,27.60526448451736,30.633546661804978,26.901482400081534,28.935040862673386,25.320886821020917,28.50555516213119,30.91025660074362,34.26248330619427,32.558957768790165,28.61179679904838,31.88619292336493,33.020208706257215,27.919338561237222,28.067126645609214,32.66818178436602,32.911137194896575,31.955244032977,32.08566246686356,34.2975955836771],[25.49581190982986,23.07105006939407,20.544464235285663,15.675312417604863,16.685189369483584,17.67615059530914,16.64381073671866,20.894230080276493,19.593177899440413,18.06988849103739,21.10199271932812,24.781047180777644,21.78525260861035,19.29339149605203,24.163098646569352,25.267828001726972,21.853554831390063,25.03120698018908,24.982121857747668,27.781513099926293,29.976579791607495,33.30832692166574,33.38433569684282,31.519019925649086,29.452544859186663,25.822917253419302,24.848090425806777,21.750638923073794,24.598839929460556,26.239348283968717,29.720552750713317,30.511922193571312,34.48729454252088,36.884757580868836,34.03568061126908,30.971461477432015,30.77296923351453,28.888425774263936,27.585893964478974,32.714720308051554,28.91116777605504,30.590787091238937,34.81003347867902,33.98116742361809,34.904840440823406,34.054841967512125,37.90734013228349,37.7371657090022,34.47626252018563,38.58088484774636,40.337764275714036,40.837466995787054,41.985879283788144,36.97577777956975,41.61428183967193,44.17525831759265,40.14610373867535,39.64308215871128,44.40652763075794,43.88793456722366,39.74850062887919,41.84261569554041,40.6036411945618,41.19255367044629,38.349207007708586,35.51128723413322,32.49019055880021,30.71250421050132,27.614280707294252,26.91003414487726,25.44519919937089,27.97439729228015,30.345515152772904,32.57568767851681,32.914043280421815,39.02419451261588,37.31409334318523,41.02589451279613,39.57320742022439,39.8458448332321,38.606905278031704,37.255901940886666,36.00645559526434,36.82237967760932,33.48404504738267,31.98715813910987,33.101038696876394,35.53749602801002,34.22672954812201,38.589119239720866,35.96847543036977,38.93346216951761,36.3331594964194,35.36941086886223,30.93796873225546,32.060015654377494,28.059164770349323,31.066638311181496,29.473097999120927,32.78913388888239,32.08152592121503,32.0795322812868,31.775005740426998,30.465185271279275,31.39743541488825,27.638157874847668,31.257390391538248,30.068426419840055,27.049152217642288,27.19310919175985,22.91502595741064,21.08878813380964,18.71747583527449,16.36202469495241,16.439432481562825,14.025689193610795,16.830011931991155,16.229463384198155,20.260324502114024,20.585043401018993,17.58068279583824,15.901363284147294,11.6753853345823,11.545063483546866,12.548979356465953,13.180993901421711,16.682034164209185,18.247050666073505,21.20924454142582,25.793377726827288,24.734767384221556,29.323243530189096,28.36040211372253,30.154157174607175,24.77861961132088,21.686199388508307,18.73612293478885,16.483374555710583,13.691399845661712,15.829676084811664,13.380466061443638,17.25870505949752,18.437128068697305,17.325705221006306,21.187631288262285,21.866208302549254,19.1016291900943,20.716711358992946,21.773272190171753,21.13655108801029,24.32260565052643,25.50097338909284,30.54288880262657,31.896443834509746,31.418964147998707,30.559566298205937,27.246439720318936,27.631016938664395,26.441726945590357,25.58116884762227,22.975280722127426,24.754661918146283,21.127936227323076,25.86524758739845,24.883000566842096,20.894067776315286,25.382383788209346,26.126557331748522,25.595206662194652,21.679355713697163,23.582284712114348,20.565146681695932,24.823051428600575,26.192533682953425,28.018778531018956,30.132164559803833,29.31200958422444,34.50729866921051,32.73806137937489,33.53394369578547,30.71043280683924,28.16714887965411,31.074085907246683,32.24994918415728,28.861367973526754,31.091112381065653,30.141715715400665,33.46950852767333,29.96613944092926,32.20104170130211,31.63766144459707,31.539583208916664,30.720557951003826,29.259485441587067,30.323999280631995,31.08605990201247,26.894687391624316,29.757898862289796,28.313539115065517,28.020696128052613,31.83969181140127,31.33057189105093,27.221920372548585,28.483896260365103,32.30102290673505,29.2574654019692,25.548655569179726,30.453239555412207,33.54899428261819,28.3794223503574,29.353189672160813,33.16151107036707,31.383524513546178,28.482835863328287,32.210387020506055,30.49067939037265,36.057945770638725,33.55971626641858,33.87837553887723,37.73338268587859,41.25386822403665,45.46933481615724,45.923724648237936,46.06146463158476,44.08246366146256,45.82082016079234,42.79226683702497,45.746618936701424,45.13933347247205,38.908993742835094,40.4763759207275,43.14143520334018,39.32378002109001,36.52263830805663,38.52729975570954,38.72263621773711,34.96032744918672,32.36311108430139,31.442151801178504,33.2808627648946,36.99063120849068,37.846693046473796,39.63537856223239,43.23221098185551,40.02515781610318,36.298871126732955,39.80145511797623,40.31824935945587,35.26147949736281,35.2936130024204,38.54014447125252,37.05362698002137,34.28024235005067,38.9782258710818,40.10761209187763,36.284163777067505,37.43688026944108,41.165063841586615,39.33006019083008,41.265098841482576,39.231808364364625,42.27771994083697,41.78959789520108,36.014832232853145,38.07278650420187,39.87868437761307,37.079325243126625,34.13337267575397,39.50616077903715,38.8773417920925,33.3489037893859,34.11499806378164,38.98765055088747,37.36905913807928,33.33210088248195,29.4079333115847,32.76581135701556,29.23167273656571,31.81845485332915,26.77286885585907,27.010576868696845,24.31594075208397,22.493143591592112,22.342522570532008,23.876790417396066,23.260177600997448,25.953562078833205,21.91157124382657,23.774009164711554,20.068010631984748,23.5080472388114,25.810805195052787,29.258511605092075,27.70442298556779,23.731931189838914,27.24972434256978,28.530264500251523,23.364633027327958,23.953559139984492,28.609282817018542,28.816147065156972,27.959806838005285,28.269387219433042,30.611200465351544],[29.149839525761173,26.465719324632637,23.30458720140251,19.040690332729568,18.952675138475616,21.061167907677742,19.71640638235393,23.841270329024127,23.121944783534175,21.13288667725374,24.25830538594544,27.818138699725846,24.003243079768712,21.943693490892638,26.402885401306104,27.06537391781964,23.072785157543986,25.72487784120785,24.829960239281345,27.304608054391352,29.05944750055687,31.916153841319336,31.770252106657942,29.449393851886413,27.581215108121327,24.447341643638783,23.783010472057565,21.423477213895463,24.914420651884857,27.132036644012384,31.043080022101268,31.935216162342382,36.10735008543802,38.01955084262312,34.83486019863705,31.390862330332848,31.21601529370675,28.39570659892598,26.576970593845505,31.140876273398558,26.97290930696686,29.110314422747987,33.15160725832907,31.754186474356604,32.32038501917483,31.029036904231894,34.84321677189552,35.11272520150801,31.636618150753787,35.53876748776892,37.78013621805428,38.443497201140964,39.90747266944472,35.08325211122484,40.21101139082425,42.38204476758642,38.26716908835528,38.42574913115268,43.106734882429386,42.03605248055219,38.251177512068416,40.844948874031445,40.10341567437769,40.43316323947117,37.17805890915445,34.712361836026524,32.061739646678916,30.885328850686196,27.96359136999492,28.05865023589939,26.51400936139179,29.189424762276605,31.50667376802794,33.02397593758424,33.61930280783191,39.469382604589384,37.32071351373374,41.30758701117612,39.51301932109288,39.27428418622358,38.23628763482375,36.41810911485657,35.77618363346225,36.06174473080808,32.359613538104405,31.444490561367314,32.46133149639842,35.55611292031207,34.16605865907541,39.10766607456751,36.68344590703956,39.8572362554917,37.66417376749721,37.057071434023705,32.861420831952515,34.419220953848075,30.675449096267098,33.33397950099261,31.949108997377664,35.47206725224293,33.9218504009917,33.89195336001711,32.85154593084592,31.56093148251543,31.547610282579654,28.082581690127995,31.648590329080434,30.070407104572165,27.542088290695695,28.114619647473454,24.30765132014217,22.072513717613813,20.599925815191128,17.505607358370735,18.010925865565838,14.863401138697029,17.22742535968181,15.531516128492651,19.8990772823099,21.19518068571741,18.63410577704003,17.677443869973626,13.058360651963707,13.598210237454953,15.22893401648649,14.274676925063948,18.510256613690164,18.903369948708182,21.479576031215018,25.57316563049219,24.114308865093335,28.620251783402054,26.928201951830903,29.149288356357015,23.429889938805335,20.8469921379394,18.01765093374613,15.377765644090452,12.320248735584846,14.5366683403647,11.14903307786039,14.321305674792132,16.55358831396779,16.09249329648216,19.734481615169603,21.443830545600814,19.003672123681184,21.490842427263516,22.78810772974625,23.119586546011124,26.353555001959982,28.29492654522714,33.14330838359124,35.2035887338706,34.533867071428,33.10959034423927,29.547146295651665,29.50238387750623,27.913287902474888,26.46634685573133,22.88454960503886,24.526074187141216,19.9495766292719,24.492488268320276,22.4646889200234,17.915710861103452,22.39908496107239,22.45461791127871,22.20746936994655,18.562001150232664,21.007689358450193,18.551764256262338,23.044904626577992,25.088129536091387,27.42098493259829,30.08397134217733,29.705605130233323,34.692113654193015,32.23013840360137,32.971102116034594,29.43169343856361,27.6033155983393,29.696349389880982,30.330301759196423,26.830272982324317,28.918309760863288,27.985991049686106,30.829544642093406,26.73645832418132,29.06567929959697,28.290783564100888,28.73514149538652,27.882116129725976,26.80716209077309,28.19876638624824,29.162624174659,25.467752873218693,28.81328418388496,27.967255099123236,28.25178192469159,32.272923767778266,32.32201464488383,28.31356989894398,29.43271802443941,33.55481951198792,31.082050044961033,27.252481893788154,32.0918608913466,35.63199144098507,30.916407232950874,31.750499149306354,35.66317809769381,34.36119490313526,31.53481746553029,34.98057395225139,32.857251651585685,38.41017667694224,35.072380942815904,35.41058863363503,39.40676431744348,42.42155709565762,46.82357401010436,46.85212269725763,47.01986999775185,44.753296819513174,46.30372648071205,43.244622341057486,45.73473602570287,45.1995188690956,39.09696790590398,40.32285133782739,42.586806514426264,38.90224863323442,36.04549100429402,37.56764698458386,37.64436169107866,34.19219519936599,31.180229750009993,31.14208481907862,32.93460441583352,36.77314001523793,38.27016696982263,40.139078071383395,44.10191695751608,40.957868083150586,37.14214175992327,41.09912260282328,41.88154371594699,36.87709904602288,37.003090421368235,40.6449088526792,39.470868859761715,36.66442370869168,41.21564339886706,42.720014866639126,39.222804071890955,40.038289582582756,43.58952907769415,41.437569539420295,43.03346712005745,40.71308510673322,43.402473517359624,43.22459936133181,37.49509829782034,38.97014683019959,40.73925505915636,38.157884316829545,34.772129871736254,39.75834026010576,39.332256522302984,33.88195105753171,34.03070334203594,38.784415900162564,37.39337499507229,33.43899228570679,29.96932459461211,32.97798370486939,29.851261169660354,33.01684838075673,28.322064143291986,28.662777033364268,26.66807496052465,24.535762188519758,23.75836171193112,24.577040907119596,23.599773174981085,26.536000007589422,22.920849075463124,24.188300983649086,21.04981865596552,25.55864451660501,27.7097171707598,31.38079625553909,30.202261982981735,26.291891940336217,30.143200328348012,31.719659633196553,26.52388865151208,27.674030930747893,32.34596215438794,32.48913346709397,31.648588203536086,32.00685957937112,34.30077512225378],[32.104317070092215,29.617615093469617,26.75016935819157,22.07496606251604,22.222368356819796,23.392793336820326,21.5455134182113,25.32145339641542,23.887817785504126,21.21321205009842,23.85861346657827,27.737151061088134,23.760288197818603,21.057736589063143,25.190310654541417,26.15625176312054,21.999603166435893,24.06941556693368,22.580029773401225,25.57733298816884,26.89157133836633,30.03663576408753,29.49383543398493,27.15522762423811,25.751445102658458,22.409908821212394,22.416581676676397,20.193676650636707,23.84111803268791,26.524615085249255,29.615987540406504,31.316152616446896,35.24085693111241,36.80471168079585,33.89718158172904,30.258474883267052,30.768487678411464,27.655238183924332,26.13706435967279,31.04178360566364,26.363284145805597,27.873156458345363,32.064582064126434,30.74845845293083,31.00139389139475,29.948217930265713,33.72075068039034,34.13977549083051,31.13745750369366,35.296536715334554,37.412068251320505,38.40152286068571,39.61714782644846,34.80610040662349,39.83706663625272,41.665832547211906,37.29387311709663,37.42630673727,42.020178130362396,40.75701864555271,36.66830424942751,38.971742213157434,38.27007522745252,38.11161998527504,35.07050307101498,32.89578444993689,29.664886488399613,28.756506424707826,25.340284259596388,25.656930005013045,23.722734911804928,26.05730415798743,28.770305537958638,30.186530510355887,31.3500593972462,37.13816714075361,35.4012117556395,39.55194899530738,38.08112949151613,38.054069991500086,37.54885381676227,36.10642881059354,35.873207187133495,36.499208031842,32.721946044549036,31.398780811518407,31.74882554501773,34.96570759894601,32.900590965347035,37.812957621652515,35.010227358348445,37.82421756799432,35.77280538517412,35.52092367943161,31.51836890400522,32.89976210423159,29.366611551341222,32.574311046373474,31.657884939906303,35.710058493607875,33.97707515206755,34.75589889786506,33.420935735031456,32.9002714197366,33.222556832209804,30.129213885222576,34.05618914408278,32.889072763053505,30.591817734895162,30.687321075430773,26.948532477286708,24.144356572571528,22.227937570160993,18.82200288255478,18.131674212654385,14.752839795307711,16.186780773221393,13.46655291970807,17.367920388565118,19.227373706947322,16.51158789536269,16.225598121739026,11.931067737578992,13.615097673137212,16.186636485546032,16.201324592961477,21.06041229872844,21.469199271991013,24.345049064619438,28.2080391132708,27.45826181587388,31.844449396467805,29.964789749497786,31.744929955878153,26.191801637234757,23.233008198971728,21.291663635728636,17.96267844562714,14.442218005305206,15.676378930803793,11.315796034037836,13.545094161095179,15.374713771293747,15.613740402486938,19.118192435386057,21.079967587304058,19.02778677339127,21.80616048923078,23.747897377275436,24.12590980096365,27.880181556040245,29.44224579841693,34.468529705181666,36.35800442568916,35.174443943751065,33.83859929163026,30.092164508942396,30.578802069978888,28.41707189085394,27.78521463813855,24.098297222184602,24.819168407387924,20.533071378379116,24.811311526961685,22.95601283947185,18.990163697593882,23.758681839960378,23.793980644527945,24.2832525641078,20.70880792517644,23.10990085803743,20.286003094119774,24.254151366430367,26.25224279780601,28.27511350742196,31.08794009550626,30.136078495013997,35.39885174544404,32.86608779087416,34.03782949731066,30.54886264563932,29.338862626055132,31.67590304056086,32.32753591968354,28.743417311105105,30.011131594876247,28.420530373793593,31.355166166785,27.237095002631754,30.249326870260095,29.910474349063723,30.618669295655884,30.314965191097574,29.609379930133446,31.296590646993565,32.635408548945364,29.104419976102253,32.50088004360369,31.872931841994404,31.856012733645624,36.06953863319725,35.823833642556366,31.826790063008406,33.32967614576388,37.33515997460199,34.61925572288967,31.104812965620205,35.991510842613046,39.21991042607278,34.40851518068764,35.4459177487986,39.29226068706678,37.655856206151455,34.91876182408253,38.575918983988075,36.66277261375975,42.21120833063424,39.22966329080374,39.507319774092686,43.44411930663906,46.59232266748879,50.965917621922394,51.053368848659105,51.08307569415363,48.79573938821647,50.247800341715276,47.024162002145374,49.602899391990896,49.258032083835246,43.110580176435846,44.19297931692775,46.623620414084776,43.06079653690589,40.07917051761806,41.48330313050946,41.812572172815216,38.442394025602226,35.15942225358206,35.1893392549772,36.56888053981479,40.43604762553346,41.93406169732993,43.53108937114999,47.45081830201356,44.042264428699625,40.47589062418871,44.51081033174958,44.972750555239145,39.939691206677246,40.37718835424179,43.84323061697008,42.48245263314243,39.9077890684653,44.6117023930874,45.89925576699325,42.29226763451356,43.45581651739061,47.092696128859515,45.11799766342041,46.739982340874185,44.3832834726654,47.23727859681621,47.14824703873763,41.39264003172993,42.928862057437726,44.86226832049821,42.290159735200625,38.91726302382228,43.990355772505616,43.66144257693682,38.196636086246585,38.339511482873625,43.16118694874619,41.819384421750264,37.86113873384227,34.33714212772478,37.389784302696555,34.17495366768774,37.249125606547565,32.448267386632956,32.7380437576581,30.436483653944645,28.471275941954303,27.908447279784216,28.912726040015386,27.961057207976566,30.761354497326188,26.8589003307919,27.983622078211795,24.504597484948718,28.898061254179712,30.75808224779657,34.410004256569586,32.692701685082255,29.09166778625592,33.06963620140809,34.189579112521784,28.73837938952898,30.0481057827622,34.57309592327756,34.40869133584316,33.24217369767322,33.31199623082927,35.42102392881632],[27.85878811453439,25.483091375149765,22.799494507181816,17.770372008242624,18.027821299872844,18.123962474121054,16.026897266631774,19.67616831413555,17.947618651213165,15.417828952122301,18.159035305376683,22.028972481870753,18.49437183742556,15.73203525296356,20.307362688772177,21.433280387605247,17.7739044901276,20.65718287498669,20.457361225329795,23.43755253253178,25.58424903852242,29.0964786794133,29.15722253480182,27.490859164720515,25.440300698661982,21.6081867571448,20.761453864908106,17.5898711539109,20.47486371362398,22.421706599872387,25.543999243897385,26.79477327573454,30.684763926739134,32.80348999490308,30.04469264504761,26.840500955921016,27.043336902610225,25.003004515192927,23.957763156502704,29.416104494518425,25.419752655329198,26.647556120459864,30.972592692253706,30.378666046404565,31.339875182356703,30.84267115424228,34.6670421588073,34.302631898124154,31.40651095564735,35.73675251361966,37.18346575549098,37.81481195163889,38.69258616957656,33.63935362836342,38.09083001921343,40.54402939833149,36.41201499144371,35.72716010577247,40.460802527686205,40.00010833778195,35.64396412220366,37.52119652702044,36.2235850308122,36.718701712931576,34.0060784885607,31.17956927924026,27.966702746528348,26.19858353594694,23.015423623407656,22.406324095818626,20.911814473893752,23.533334332467213,25.834665959289644,27.973515279872775,28.389943830366256,34.47966132597871,32.86991433499566,36.641008250299386,35.31784107554024,35.72321859759263,34.74977261513307,33.676986223588194,32.663521109028565,33.77620542068505,30.426469063640067,28.5558627686582,29.249931799763147,31.718549500973218,30.03888423969006,34.40311459951124,31.629919438254067,34.50562258517819,32.01199569067164,31.259254043783432,26.95979206827747,28.178951593148447,24.361609857824412,27.515135836488614,26.306272137149676,30.145901578075293,28.957916492134302,29.659663703502932,28.90186457436881,28.339363335757337,29.4982845849344,26.202436423016785,30.254107045930688,29.57111689528872,26.989062987033915,26.53326828837348,22.530668129350047,19.8128169343144,17.166630161578755,14.237073940717133,13.195520590773667,10.461018956287534,12.678922053937587,11.926944057100515,15.751559457886293,16.087386148851042,13.051266119489805,11.671563223442387,7.40779266264585,8.25964563991727,10.564425341128242,11.839690599001084,16.43388978193997,17.593418420017784,20.8757242385814,25.0424999425226,25.001700125001012,29.37977057653037,28.18260325893603,29.33670429138877,24.222081413855623,20.627744999251956,18.941459285741608,15.736111192660207,12.461302789800571,13.544764355253655,10.783070984955597,14.375775208688921,14.780692853578902,13.788355536476626,17.595188332985526,18.202513315127558,15.678736128555652,17.546626746535267,19.23602714863875,18.898402333234706,22.687353946254305,23.787368990883184,28.926824748347567,30.52085157539097,29.375096242305315,28.291688507369738,24.685357595047964,25.43688054422389,23.576225095972568,23.393759644709956,20.59558381579371,21.55277519804183,18.283124100370273,22.83397133763733,22.297827437105134,19.041147501431112,23.73974814648798,24.849152255521528,24.864781456556347,20.88790213327289,22.513934519638514,18.95748014370712,22.628614727592332,23.824098624443707,25.31122682949436,27.546098509403173,26.232861709766706,31.663097787730372,29.83464456650356,31.015484779719372,28.31545117877884,26.322459096245094,29.559980046357765,30.85670122410776,27.412106606091612,28.880248449416097,27.3945874614104,30.96026299530157,27.73648717879175,30.44947564387227,30.41205438750144,30.31445388827667,30.13028362075368,28.990989767302878,30.371218530813948,31.673906443445542,27.67109879285625,30.589789624487054,29.61109392403457,28.829834860516932,33.05175010393038,32.153378714705326,28.144258247039712,30.154641970316028,33.816256807154055,30.60796840391585,27.670127200485457,32.578698118445296,35.174859613808756,30.2864182263278,31.725437895236496,35.39735329789998,33.28634716867108,30.91752182844167,34.92580692485446,33.3735482050866,38.74894232302227,36.72719483815206,36.59767773199126,40.32423520707389,43.793016151554355,48.09469899273894,48.364489943048895,48.05709425191323,45.88491904932512,47.306591507765035,43.92247029066528,46.95125151673431,46.78645031091775,40.49867932608211,41.67721242618076,44.66862380518865,41.16876999405862,38.05881574170518,39.799624222589735,40.61377720689825,37.059197693247405,33.79326139236635,33.04488122501058,34.023512410128504,37.78768103715602,38.75883971267517,40.06858547187426,43.681932091623196,40.06823668824344,36.73854360091291,40.530919561013036,40.60088406780887,35.54330287007536,36.18126416567063,39.31104721172623,37.69979334827223,35.3714158797497,40.24283881747375,41.22198299515577,37.51488757831054,39.11720811240087,42.84641138031356,41.173712469552434,42.870642095646126,40.575541899273055,43.78479505069167,43.71544012017305,37.940935613382734,39.78985638523852,42.02261810059999,39.422995590393874,36.263500836356236,41.70793515761306,41.55754543655613,36.055971979704154,36.49655241437399,41.59751184940076,40.38739978082243,36.40426189679075,32.6058566528226,36.298624933264335,32.981927490336105,35.37988099381785,30.272018846587276,29.976601223278525,27.06721941152994,25.88855947716197,25.573862965470298,27.292092757934423,26.23158538939895,28.412800286239545,23.820960147135864,25.054606769627227,20.933381022397782,24.677332879889583,26.284217918639463,29.79192827870951,27.592048082498522,24.216484453416342,28.202876371561214,28.89501137084845,23.324377838500254,24.78047697583273,29.126376647958974,28.75095711697796,27.44704029069461,27.419996590655078,29.524802231619624],[28.421609505011222,25.645281450869536,22.07032753838168,17.788463502499273,16.546141834008726,18.12830046949446,15.878061420985128,19.517960343816796,19.061597517422626,16.642523044728744,19.848172491662584,23.14862352186146,18.891737759144416,17.413374239969578,21.64679886608243,21.926407053855954,17.90154820680968,20.769791940073173,20.407588036320828,22.486640132529555,24.724471954198002,27.560040057278073,27.89724248288241,25.983989829801256,23.551625033707328,20.296041731877065,18.97882006512098,16.325455562006844,19.61098098681074,21.64690026455516,25.96463895066757,26.51622224862011,30.79383020135602,32.73107786402156,29.40947468392847,26.05921971857482,25.648938132901648,23.05748773514103,21.33350230138169,26.127260972497165,22.317430740876706,24.416317464203942,28.47943885323271,27.474693380617598,28.553333686784157,27.660686174262732,31.51420734531123,31.179126213731298,27.776975803333904,31.83674338066957,33.58425421754246,34.040480087839455,35.277937545096805,30.30936117866635,35.15508159702978,37.644974956738636,33.68088441110709,33.4500351833912,38.20349087744957,37.56427843047615,33.7215791620447,36.228044975891194,35.27531732651971,36.07730482811896,32.842859586006334,30.004360144490718,27.733652283977364,26.21943156421399,23.818347863434035,23.77879533592298,22.71097307795214,25.837413364308823,27.52749510085586,29.030550312049183,29.035563667015605,34.87709281062956,32.45212012157012,36.27244245315895,34.342464554518116,34.128767153523626,32.83798562449388,31.083587297002357,30.219612069880167,30.664595205525018,27.095083300839317,25.96871559426278,27.15179000800804,30.05244302547072,28.930453296368263,33.81125328788868,31.614420512902075,35.03300198611146,32.82234401080058,32.08191110128803,27.908673081110724,29.76941104584505,26.119937191464928,28.260526939011317,26.874701746628517,30.451805430960277,28.50264104172292,28.555065044407158,27.272889461559206,26.20750633513903,26.32021647469489,23.080973629399036,26.960153463873528,25.830682256913718,23.613258578886757,23.648394578592473,20.082517958955773,17.158387153930697,15.706125741761063,12.183204017864815,12.6703412995293,9.425697136496519,12.06694670265709,11.422743815782567,15.967626797113471,16.60706696104635,14.411329618679764,13.210472135414449,8.59992201976544,8.802434769673866,10.751311909301798,9.3605962654528,14.497511735511504,14.427243549577646,17.30826249856317,21.143413825250214,20.730301941501594,25.062675321356895,23.419697726031355,24.912628927510855,19.510066713614375,16.29451424872096,14.581741913605626,11.096105825517775,7.66849174461672,9.333786697921866,6.9015242234048015,10.99309104596541,12.265700113580419,11.020351732211678,14.795440544042632,15.989076491244171,13.41037067164012,15.87164915174818,17.2845755745633,17.95448330942842,21.414916162909588,23.61343261435821,28.374519688579955,30.896442883461177,29.88161600443647,28.088509522458544,24.378131127219795,24.267083156145084,22.418694844898106,21.0672078462744,17.426242663912248,18.939977779674958,14.656365280441152,19.317522524085767,18.044698056218444,14.188639363513232,18.768787923386036,19.786633687770873,19.56670390942275,15.58815070797254,17.36326101743298,14.127718055482973,18.250655479495155,19.91997611419938,21.996913618575412,24.59049804466538,24.070573159102533,29.120143587176102,26.76459791350847,27.622216207837234,24.359655347127774,22.518344651839424,25.10681421023689,26.09612475907609,22.60288266818039,24.41543690534612,23.350536207087128,26.642652946698174,23.214692203286372,25.564284727069307,25.283479678346655,25.21652370505694,24.87211786493748,23.794650236356052,25.28850395500544,26.718892106379492,22.976125628217808,26.174334378421637,25.671946727520893,25.244789819603422,29.6887786092336,29.237692166805164,25.332443960380317,27.334697055182982,31.240255559422874,28.58293061234391,25.703557312005294,30.539192711235103,33.47312096930678,29.172889213914505,30.5907832382778,34.33801006930306,32.725303110837565,30.619782323672542,34.398904049434165,32.44280897492775,37.70389623094754,35.056997306192365,34.690209176711114,38.494728834948816,41.45041903289974,45.974244463112356,45.77300441912813,45.33000638135546,42.85219090825221,44.04010583019617,40.56970429275475,43.24274915528399,43.22354882501955,37.01807316772596,37.85855669122837,40.64269550665137,37.324282191548846,34.08832809577918,35.46205578510345,36.39264580704418,33.10009238800541,29.37264326039434,29.214565949674054,29.998225432767686,33.86274498525528,35.35001606294811,36.70488663850153,40.6486843172417,37.10809099880325,33.67490746638202,37.90621684872424,38.250868188235835,33.25021138615008,33.985341259115145,37.54212683528405,36.2974291914295,33.944549247110906,38.6564135836085,40.066758187963416,36.78929970882922,38.027975180918865,41.543903775710874,39.54495279089287,40.823630823504146,38.19006499677447,41.0836539796265,41.409047325050835,35.679393348904505,36.928404300289614,39.25431508443802,36.92271137699259,33.30734611154634,38.466421417946776,38.68624204177728,33.26809263007778,33.09538234822369,38.21605785031493,37.401063471683045,33.520919856979226,30.150119765365393,33.848139481643884,31.038974817480877,33.720729199089725,28.89023012316694,28.32610087971398,26.044351464187304,24.923513516661096,23.879685833392156,25.13557901348591,23.49813877332972,25.565573400960854,21.140252374941674,21.699723391603875,18.02417702288365,22.893617977324116,24.30210420579654,28.055326808485272,26.392532626671397,23.036574430814692,27.419201059202305,28.541856493581125,23.026462743150613,25.199370432711756,29.56460356615324,29.193480051039444,28.070373969369882,28.272837408051238,30.42737150943577],[33.29341151422827,30.53193524863357,26.973783041634164,22.772779350285905,21.62275368296408,23.410153949355504,21.08538956743402,24.534361382292655,23.849452788893856,20.90631648114134,23.739371340368425,27.220137658469234,22.540907754002134,20.7355451843766,24.434076977043485,24.726880122473936,20.241188706043392,22.10684980411325,20.405883349891663,22.67352938297355,24.016547430555562,26.625709005563678,26.32316837135812,23.84922000141865,22.106819057084465,19.216175782865776,18.92588762500933,17.220276849832437,21.197402322407328,24.084321472174604,27.934903825993857,29.25438620930009,33.41307382206817,34.69470921140641,31.385293966103486,27.59058295792797,27.792685673975566,24.140452430771237,22.176819322537085,26.601492987712778,21.955078833062228,23.996528645106565,27.99275284600988,26.40572651794733,26.755727947618485,25.504037297319954,29.30163110088258,29.668056033370483,26.398891542107574,30.43528265450438,32.680249572685874,33.59757681946572,34.999052351519126,30.25726775907399,35.53479249374609,37.32070919626169,33.04544802759507,33.502420491797,38.083369673189495,36.69018928882531,32.955165520563234,35.70902701395169,35.28265526335899,35.36310405374555,31.924560949859753,29.74950071800389,27.28154891975127,26.599128818917713,23.865398367691828,24.69270256194874,23.159659538797545,25.99327970567258,28.07779438704817,28.911887074028048,29.70955783399807,35.24996835948702,32.85417185214115,37.050099904803396,35.12431938376273,34.62515477032139,33.98879095680967,32.11059535867897,32.1500673721794,32.35067710042384,28.40201648500644,27.549478736352178,28.070995172038028,31.6617874290402,29.896056489218626,35.214922608259,32.85145546236532,36.07810680100753,34.314874375611055,34.152540404679996,30.3354919397163,32.27279848642042,28.969774790745213,31.389933106279155,30.502980461611955,34.53147162457528,32.012988709917124,32.5926629907285,30.652007597719027,30.103449519107787,29.68961413413087,26.942892071433892,30.85209319364221,29.58967458530465,27.836085308588125,28.037045579569742,24.84335685669336,21.58296294405213,20.482770268891326,16.561412503316838,16.44108111594248,12.70838101888022,13.955390122982086,11.12942464417753,15.495270496883395,17.622450169825886,15.651855069460366,15.636371758589279,11.25480900714459,12.873383898068095,15.604639933658662,14.201458170185662,19.5743197988627,18.927133889555993,21.509258898871206,24.77365683380335,24.21212920175337,28.352227686102832,26.005160342249916,27.731738785215036,22.19214981121408,19.44332189839782,18.18157472526817,14.363364154429375,10.748389650932218,11.644621505195882,7.036401950822937,8.938432037497284,11.407421724481022,11.785597930507539,15.066663727131946,17.61456527354264,15.792235346330058,19.128512741025162,21.123895371150173,22.38177664861808,26.066224741944488,28.36917193051392,33.0876944280556,35.763906382537115,34.40764261146973,32.448145695679514,28.546688708374802,28.53622689750218,26.11421516695425,24.919714149176794,20.55684870552452,21.225861514164723,16.342432687172852,20.443208633957315,18.073747326611837,13.972670357451642,18.726745635169223,18.747901988510865,19.43100014425663,15.938355993118856,18.379796231207525,15.718078703958504,19.628039099350286,21.962250669998443,24.277242189256754,27.419876831822513,26.88417313293546,31.86731851083197,28.883950759063833,29.9733644606232,26.094092573155027,25.38539154365144,27.25761012073843,27.66172215421681,24.05328968152195,25.14345048359761,23.61388431231847,26.372489327611028,22.16527176382804,25.156944348652694,24.881924921273963,25.68884380536654,25.59652665061682,25.166324851084486,27.111183925483033,28.81405077725803,25.677702506065916,29.27363966697519,29.259152551333358,29.301038271850842,33.796220522587014,33.718477063906434,29.90966297328055,31.714654488062976,35.779703859759444,33.43040753464944,30.347289285562457,35.13033526187639,38.34975763647995,34.13941467028412,35.37029825972957,39.186770690232315,37.77357204535768,35.49494940093676,39.105895995691725,36.98040510539102,42.32797694714003,39.13552178850682,39.004117732374965,42.91384766362902,45.63220122905858,50.2003949496734,49.83092443634615,49.532664945243596,46.92862333003102,48.03585235511116,44.59857682028756,46.914999001769935,46.90189118466669,40.84105008585987,41.4632156269506,43.868323995440534,40.6331326135271,37.432848604273346,38.40294800180815,39.12336946428891,36.0948014383101,32.163676376071365,32.74562465764284,33.55016523736435,37.47198952459941,39.41238092540119,40.8027908164354,44.95101074718988,41.443546962688636,38.020189003944,42.483824066474284,42.94763290541187,38.008039269654,38.78798641052553,42.49356639041161,41.36521744271768,38.993255406229636,43.6222058919148,45.16097708585326,41.95373999177567,43.04377672535138,46.50105258221864,44.36565028546331,45.5464499969669,42.824755194703876,45.49312615406701,45.9077975424308,40.22612037558635,41.196365195498274,43.391831913899104,41.13897388381223,37.34731560022624,42.19576741911014,42.39073640337223,37.04251184014021,36.56094518121129,41.473959303120736,40.65393150066064,36.82921566295213,33.7136975729304,36.937896770619204,34.2372398274719,37.38961164244963,32.776511635765296,32.59171462558796,30.653956735259175,29.062017273206152,27.903248719321127,28.66748811913898,27.090189305395988,29.524409056078085,25.562551173095514,25.895957548109312,22.66607622845987,27.887759266536847,29.275552521281085,33.07557880989197,31.49570257681149,28.21666006518852,32.62815790216364,33.79891105743038,28.27536220275095,30.448770357802708,34.83002185189241,34.42302401009507,33.20740830692169,33.3102764171826,35.343152165327446],[35.582630732401086,32.907591044820116,29.387354746275953,25.059956697657952,23.715396285256162,24.82466911443527,21.987970369596482,24.904660361731466,23.936067369495206,20.42398955406309,22.840268910133023,26.323194486172202,21.345042584034232,19.448731243286964,22.56895096363361,22.82491349475803,18.197611870199406,19.46287715272587,17.294814498489746,19.68744853086405,20.76749754240114,23.46127895228559,23.034251879473207,20.650306068479154,19.038640908581698,16.069462472134905,16.15349569488828,14.720099703695446,18.805634848319727,22.07622591437281,25.468050157429374,27.270655395955426,31.255783041924715,32.16108460554581,28.970828858540642,25.027802950753472,25.683308674346048,21.723882147973498,19.964792194035798,24.54124288733153,19.610655250624436,21.18618370518539,25.245472877562737,23.779563150777914,24.049129064965687,23.08220366760064,26.85976827789682,27.145243915396858,24.228063522979486,28.48299167074411,30.50633748657884,31.596176253240905,32.78276434204405,28.049849897336077,33.19559538035603,34.76171274147647,30.35271595197103,30.764779905099157,35.27065701008831,33.810040738233766,29.902019021673144,32.50297734762722,32.118917369828985,32.01113513428564,28.635939830017996,26.602554130956037,23.96711935254605,23.495399795665108,20.70420209650749,21.8418172371933,20.252207390380402,23.05993640252872,25.08334172913566,25.645049488534777,26.647511768272956,32.04201453664971,29.73348926328317,34.01964215569726,32.210479842584455,31.77247559599133,31.483946036485808,29.846149795237423,30.247492423141534,30.659629518575525,26.68810412965549,25.56923456628579,25.587925770094618,29.298974365329848,27.122238847591756,32.47523833199149,29.992647209945066,33.08611874715885,31.523197985091066,31.643841702921033,28.086290475865233,30.08983099258267,27.092546180764696,29.581420671870433,29.099147272490995,33.480681801960124,30.570623152939017,31.755464377518727,29.40817659855969,29.537429515685176,29.252924032255684,27.005456538012865,31.153144466858436,30.299191364228683,28.928915205973635,28.689605120830976,25.78883454992336,22.002249934938888,20.79662653109619,16.65646637857921,15.665447361031784,11.895843670767073,12.068724599406083,8.498831819117695,12.401648034213059,14.995123954639219,13.299470011484313,14.005127839167432,10.274500075500805,12.698649470765117,16.046713813486697,15.100048834776494,20.829424603588585,19.9400072121585,22.61254432265441,25.412245745175827,25.658979893092944,29.51118489400784,27.008713529523305,28.172585904789976,23.012041296143128,20.00957879356461,19.841338534597632,15.517436491321462,11.794173822333955,11.553578016832676,6.991399581902559,7.1522837952322655,9.00230146267415,10.100295998377662,12.936018610237893,15.717193680992033,14.41943709346238,18.02401485770872,20.533235998912794,22.073724571318646,26.0709150627974,28.24233548265887,32.898191013193575,35.68207500428417,33.84107618809741,31.763084531294762,27.732599586270954,28.006257708296395,25.05864321304694,24.44913335794058,19.970085545165418,19.75044264881859,15.226774405688593,18.874642191611564,16.77134279991191,13.546655054925644,18.346880416905808,18.594331418557157,19.919168367675024,16.598224808903176,18.729028302659533,15.767452395177841,18.918691521144723,21.13725364292237,23.129931286074015,26.391805613993974,25.45757226411991,30.522375886748414,27.43835084086933,28.878542888179005,25.08913380404188,25.042050714306395,27.063141452797947,27.49799466373793,23.91189757381843,24.17247450865483,22.078087409647317,24.9302590947902,20.937074581530112,24.467314355901873,24.694326115708446,25.591879938246244,26.116852620287183,26.03857789828701,28.22994102137135,30.345810466064446,27.4564185405136,30.995359738222493,31.302292836656235,30.999621173274424,35.677922894586416,35.321176082040466,31.640597302212054,33.899851358981486,37.7963420265889,35.33419346951244,32.75899356843304,37.501201811626736,40.35137170282082,36.30467669365659,37.80401389546574,41.50765805848372,39.858011378054165,37.87653095571387,41.66189075879598,39.69038946173517,44.911834135532864,42.09043552845174,41.7020376493887,45.50373341421798,48.21711268061846,52.80473724431831,52.35509927143543,51.7658647713665,49.06770634776946,49.95696366388513,46.30132693147282,48.66082529166984,48.95445122711303,42.89987290971805,43.25482095530979,45.87539270256286,42.8871902663088,39.5131946577132,40.29311696718075,41.44049039826504,38.584064913996016,34.26326959352248,34.93409104287711,35.127230048173416,39.027007513374116,41.016727594714254,42.049270616745375,46.159563105962874,42.393006909856126,39.3001162863648,43.90479665592242,44.042397711502836,39.15905166033223,40.33482282209411,43.904771118247915,42.68537169085952,40.62803164084448,45.34120982170079,46.744799081912845,43.60512533526211,44.99997061569027,48.45215733341306,46.456456497127014,47.50240573077896,44.64775810149698,47.42153283743968,48.08875181254428,42.44548591502611,43.30952131289448,45.76464795021473,43.63837595066428,39.77473133710359,44.6478984760566,45.132761118202936,39.83198987802944,39.1962031118191,44.21575752117508,43.63928296892589,39.86333130094073,36.80049793567344,40.223690062072485,37.606558677038095,40.592754237260266,35.920372830343744,35.45161935446116,33.32490163264236,32.10127723525445,30.95543826995939,31.89229213055991,30.136216238492928,32.245177400858076,27.992826210441788,27.97464499519149,24.546699115950986,29.7490312661179,30.689811558472794,34.44336458200332,32.46704083724082,29.622205314888188,34.22592695997617,34.98312443758718,29.302215883193057,31.95011351588858,36.07373010218552,35.26207004113946,33.806869218989895,33.7117477056497,35.612607004838246],[37.31334459853062,34.654487931347,31.168721210935722,26.83837195473457,25.585807671058067,26.610302852155797,23.758555244752742,26.59105419828837,25.47744156010732,21.846386366237205,24.083495470734302,27.608454528192812,22.63012984055663,20.582134123844682,23.499938802466673,23.8264657960242,19.20460731900059,20.123117495428126,17.59700690936946,20.07216474943972,20.801733157557617,23.43389248977631,22.75220839951779,20.236953054806758,18.97095419711508,16.16391201490183,16.6700125535565,15.567809395418154,19.66515197986431,23.103796375524258,26.17873852816082,28.254702588636302,32.124379286972726,32.824748411151475,29.72659655276929,25.715965168191186,26.618058150132324,22.463664478889346,20.767708722046194,25.198432961493822,20.083838319730813,21.47599356992144,25.461294465760158,23.86257097470091,23.83902514916675,22.79572341614431,26.488245871039076,27.031847197742593,24.26377965879731,28.49812601265142,30.62213103285486,31.865708806294602,33.071849189472324,28.468967292142263,33.642367937787704,34.94711192844082,30.454414733401684,31.044191914189877,35.436400742086384,33.748045009873366,29.87100313726253,32.451795038579746,32.22399573154866,31.84407230285972,28.485232012242218,26.71495460783238,23.968032275634027,23.760791403478795,20.857512335025284,22.207792951907628,20.48120100507191,23.11359952093036,25.25232654698548,25.621201958901537,26.90161706445001,32.139280285283625,29.947713046933977,34.30650530798644,32.57648714574438,32.11421648747199,32.077285606423125,30.500477932478173,31.164449605646773,31.58483242261319,27.578534835840895,26.46979515905255,26.21291123342967,30.039821543818462,27.62540883063312,33.0022251642764,30.441654244877665,33.39267075584525,31.9675858436787,32.272222401678874,28.859466015181734,30.81770156629905,27.954247611927105,30.573752738107885,30.267201224802804,34.77409152152622,31.773832026909073,33.17361869167954,30.695321383873857,31.032078755689184,30.715686673158295,28.62909289029843,32.76433957277054,31.94612321391624,30.6872372357814,30.425806696684383,27.611198095983497,23.784849914132614,22.55830401106531,18.44573675879482,17.20483571015771,13.526169868794435,13.299286283688513,9.271162751786507,12.742572434971642,15.6572565198598,14.032503908021983,15.05193880515012,11.667721326139432,14.327894385391502,17.77937942101186,17.040914778252883,22.731592788029623,21.817373788624298,24.433664374232553,27.092743038715582,27.36191956219589,31.115457321047074,28.496369854057193,29.649194385492574,24.57938647020085,21.702929614818228,21.652847760908752,17.38511156888715,13.766559006745362,13.39409355628576,9.042987560228482,8.171301257879678,9.892756216323882,11.484655719537267,13.909886198676146,16.866517715672593,15.845867522528984,19.48078449600754,22.112322211605353,23.686022937454705,27.733705208601723,29.825434298505463,34.46886725913369,37.213401827848976,35.265654789575485,33.19911402249413,29.150894258511027,29.529117975554502,26.445255849681512,26.008683498364217,21.512771560997525,20.99794747167328,16.612589752473824,19.929157979289442,17.689874094020006,14.718044047584776,19.304187516618573,19.25037848060465,20.862059844177164,17.82333819406737,20.020557877833337,17.278324498372296,20.175114606382365,22.451343415464667,24.386591926981563,27.70451499027192,26.68486621604677,31.70429184221493,28.533601147726742,30.070201517970983,26.229811648439654,26.49525874157951,28.36936348752586,28.667267763009995,25.132881674634433,25.10752088583707,22.84363538750562,25.49357176982457,21.397370684507482,25.088544178649773,25.353893297851148,26.517319501000674,27.140337320331653,27.258748387407948,29.5328183864308,31.70243840517175,28.99819774290581,32.56087008801459,32.95829872781315,32.7243903132083,37.395020537525504,37.079555769862296,33.43388217485967,35.6658083830295,39.56072506281566,37.13055409906702,34.54650307145271,39.26606960944481,42.12755526402865,38.08181899508633,39.55833152833545,43.26061280483165,41.610103883030924,39.605509935371025,43.36581800617042,41.388676330137166,46.62819747771598,43.754092533327714,43.4096649039108,47.21716493618166,49.89645671701832,54.492493575499054,54.01401373005292,53.448640502731955,50.740300108388155,51.60459401799431,47.95712814800603,50.24869379371301,50.55382534129663,44.544928465657996,44.852414689284906,47.39727042101235,44.44311059080706,41.08985179048988,41.779145459842915,42.88555979608008,40.103546678633336,35.75788018012502,36.563309384597396,36.73528570537576,40.633218384170256,42.69014968939252,43.70305641734711,47.82882356551856,44.055783650722745,41.00133655393902,45.62793299679535,45.75500541093995,40.8964330651915,42.09502308844981,45.65419225724433,44.433384816229456,42.39923633881474,47.10193635557059,48.49657670889607,45.35597097121299,46.75913773110184,50.20719926056294,48.21215606935521,49.25032200141112,46.39227340486324,49.136201072892035,49.81731868214014,44.19408994549476,45.0217454972862,47.453606287203854,45.343428971272196,41.47148746996683,46.278588489743406,46.75400631850309,41.48131539492607,40.801556067245606,45.76269117411829,45.18326055469129,41.42957015825438,38.41204719689229,41.73137990827037,39.124250514136854,42.18674388730589,37.55125157455957,37.16004256904038,35.05799328521386,33.76420076666326,32.63955292890099,33.51158253270235,31.801319005282988,33.96226711672033,29.801672256072155,29.768097228597675,26.41519146916849,31.571350284464604,32.504439511868966,36.232469601189536,34.24314708964929,31.436302314588186,36.01646414804107,36.721628163338515,31.046746092054242,33.70385333728885,37.800146740054124,36.91285910893742,35.41498073003156,35.27507493672772,37.112812556718715],[38.115937108961255,35.471895247046575,32.03302459321583,27.788799576903745,26.68098154455658,27.790466767789926,25.108042992431773,27.986255958778653,26.843333116163492,23.325397335119828,25.50959655290085,29.061183669570834,24.241023245068916,22.089161438350775,25.02489604420866,25.44111010373931,20.966992277097823,21.84308080722663,19.323442440805437,21.7627880011519,22.35347987830393,24.855955237527336,24.066398452887498,21.47706859058045,20.413969819457918,17.841540720440765,18.45631938937162,17.510860914705447,21.460219245051224,24.820491510370314,27.768266232633753,29.8645377514825,33.674109174676424,34.359765813306055,31.317813242440426,27.359004589564833,28.267499234267135,24.14313553348328,22.429504329198235,26.612779276935143,21.544826591769016,22.99844624081841,26.840297400044456,25.111489790940787,24.91558167115228,23.701676224072727,27.29636911291055,28.050750411749544,25.258816790892993,29.325991009761733,31.636381176043695,32.901702246294505,34.2309782809862,29.730913946286865,34.95611684007989,36.14317262902318,31.6710316583065,32.415679955374394,36.72552280487409,34.91249892092375,31.162328121890496,33.76552805946059,33.62067622598614,33.15188470885836,29.80493306453317,28.171589173303307,25.448361254580025,25.330939786874065,22.398074825345528,23.70987223349346,21.916568458137533,24.393791603441073,26.62882048732917,27.00487433522883,28.385435511205483,33.533405001837,31.419402598254006,35.76039575243538,34.05829765521298,33.55896253941353,33.56851224457651,31.961595468568852,32.68130535887386,33.01782762979605,29.01691043073161,28.039933571845864,27.779661023724227,31.604356482839,29.199628738462362,34.52370650762377,31.963688310612145,34.83629701121846,33.43071577477225,33.755313915931744,30.372459869588646,32.244656732666726,29.37731060928626,32.08642521283094,31.77973571773515,36.238069190963905,33.33272979759217,34.6850968343995,32.26923803898723,32.53162542650117,32.135285969818945,30.040863814128343,34.037043550591235,33.11919087812309,31.857719038955285,31.719527183593573,28.921269582956743,25.26113825959015,24.085144181469246,20.130243701868682,18.99283190230746,15.506281597671968,15.363822169872526,11.719346984710898,14.674986047687065,17.49913987765712,15.823660112334624,16.766218456815533,13.658202761376495,16.08527097395174,19.33877204099494,18.644239773286703,24.099542883332344,23.22132214504383,25.71900296910446,28.35680940205596,28.385324093152896,32.097657384653935,29.428570681865093,30.757610540807107,25.68297828095303,23.057556164268902,22.798446808537047,18.770869491652814,15.290281361240048,15.180598609236505,11.056530476554489,10.115773411068277,11.993771062013844,13.594949574379026,15.803847049557268,18.74724836567733,17.765286311085386,21.266689855960717,23.779303911746105,25.27085311026457,29.21811639458262,31.257435001510807,35.8731006322156,38.54167844748769,36.65972096065953,34.665556278916945,30.68366796933821,31.0528996037156,28.064566694875115,27.573374631792277,23.1381122037269,22.71637882962182,18.337949441645204,21.51907823845896,19.055271653337254,15.942808183466283,20.308364574847115,19.900400622624538,21.51298565386175,18.6958418864733,21.049864741293717,18.637707385538405,21.581141134550084,23.93708930105662,25.937199655388948,29.23396738420709,28.304838144708356,33.21310369104601,30.028821643214062,31.501134058296884,27.602504847745973,27.896606299679526,29.5590353654728,29.719120222470384,26.22961891040778,26.27888265943471,24.13199326085537,26.56175621273674,22.304318863791853,25.870282677343205,25.9502136442093,27.32667283026828,27.80809260414362,27.986707398528033,30.24761975036988,32.32696028626739,29.747590175519797,33.325811255467386,33.7190535042985,33.65990084086744,38.23913924974709,38.058561334594664,34.43242252338662,36.48736564020291,40.40812675136695,38.06491224018954,35.34760455910553,40.01960389810258,42.9871395493607,38.927610161544294,40.29563544839276,44.005698852046876,42.43908155902083,40.3482338291796,44.00624120174455,41.988453896754216,47.24964123378741,44.22999452674781,43.99304671200129,47.8190602403881,50.449140481986106,55.043080715859276,54.54951908100241,54.08484253430604,51.40276486014401,52.30938356290122,48.74821965839016,50.955089360145536,51.17091043565888,45.23013706812455,45.572553496668135,47.965815701020006,44.982863768122584,41.7180105533454,42.374842850090104,43.30331315857713,40.55204324595391,36.31757769912209,37.230962618143586,37.56800184109154,41.45414491864837,43.555737510957094,44.66260329423165,48.80014862039201,45.124835769410666,42.00871408337336,46.59466947447441,46.82239840914477,41.98880571867115,43.075756978012485,46.65426645438547,45.471368783891144,43.36632747927273,48.01042809124955,49.438027567887104,46.28881970018743,47.597401087625116,51.02726836732602,48.995666220909584,50.057720612814016,47.24689286925913,49.91514447948075,50.532836575778944,44.945049078303654,45.75893075919765,48.08049680694317,45.96102224543406,42.11650885800576,46.82666278868854,47.20989125485479,41.98130415834724,41.2947146525104,46.14737033822191,45.50348184238759,41.78123224175896,38.82067905572385,41.9721840945047,39.38345608178341,42.541191676561844,37.99610738038501,37.74745290270537,35.749035257339166,34.30604857104149,33.19158347571911,33.942272694808175,32.31917203575575,34.598984160551126,30.6572454582408,30.687553157046665,27.519033812247777,32.59455923711392,33.65817030981513,37.351585411805154,35.525891997179784,32.622976705344264,37.08930858459366,37.868930418847874,32.2750834141625,34.81612221191744,38.9093894850224,38.030008903182704,36.58911932248389,36.55529274455024,38.44772552672721],[39.7636597088333,37.15185287605124,33.75088679701322,29.54940817595482,28.460296401241987,29.587800823022505,26.91674074416634,29.710125178202848,28.515740099053495,24.94078957051856,26.948049965776963,30.475726332286907,25.667665764341237,23.46730583736732,26.113863985661737,26.56072760781134,22.128381846381906,22.636384437299693,19.788611064186757,22.339423914925945,22.620570743234534,25.09259436500701,24.098638946094095,21.49181139977044,20.74021150381152,18.298569925538864,19.26715457968689,18.568680097631166,22.463726105167495,25.94328113796967,28.558820742777066,30.913851397779496,34.58991702375983,35.07515515570476,32.14347651373944,28.14759390240192,29.276940644901554,25.03598935684544,23.405451588440425,27.433428193398107,22.317100090847923,23.55980022601715,27.29601168714001,25.529808444351225,25.14161720635126,23.976432267684945,27.419888319150374,28.30137480466288,25.73426730695673,29.70945575545053,32.02240931828673,33.40867433888442,34.70608076234756,30.355433088092617,35.521258794502145,36.50838249926939,32.01279457326682,32.86414621816413,37.05873901973481,35.08517741644523,31.354119279588907,33.8931450937087,33.8520234038211,33.13926943821486,29.859819496005475,28.454599163848844,25.588944253868952,25.708375200184193,22.626211033573675,24.14434883504919,22.167129006694832,24.428183700762588,26.8270154214393,27.0388084207651,28.71172313433584,33.718672095740956,31.738535919214865,36.12340105021984,34.51892919508547,34.019363636946494,34.25648301081398,32.72328980535375,33.651025149566316,33.98211031401852,29.985611038559384,29.025421608420636,28.54462191857563,32.423949341611575,29.818697540480148,35.12002584109461,32.485003712721515,35.195456223143175,33.93149820812465,34.44016183974239,31.22096477876813,33.053591959215346,30.354651038181334,33.150435479524,33.01583207043294,37.5605370621607,34.56496465271657,36.08918391272225,33.56230555836906,33.98496538735513,33.527200686294734,31.572418723131772,35.5379999756976,34.62003219635329,33.45745617692664,33.32893291786605,30.627977072752333,26.952319646953182,25.8391556057471,21.909939709054346,20.658449826576827,17.262461819653943,16.791096901368693,13.005135219623579,15.236315081755512,18.352322922665806,16.819225596236993,18.164963287271036,15.418715401012047,17.93398786309294,21.194846235367013,20.511912789912902,25.903216870743535,24.962565245400693,27.38190504856055,29.89154560300733,29.903922080845568,33.540164001170105,30.774338201275885,32.12512946333962,27.106257727732256,24.6056355173474,24.41360301126768,20.43956181737073,17.07530461056307,16.93485275361705,13.00588215098883,11.731070437093681,13.365304046509776,15.177492969995244,17.04411366493842,20.0385481768856,19.282023615710493,22.781571320068505,25.362906174426204,26.9140225912049,30.861522014983645,32.86579831993318,37.42409855426693,40.074839571059705,38.10919319103352,36.11424119771682,32.13607836450727,32.56743025800611,29.479466357274866,29.103308362784926,24.65189630070828,24.03010127604626,19.795495202744007,22.694529236044172,20.177830476632177,17.263634908853568,21.377425947372693,20.74875179319479,22.48225112657894,19.891169037215782,22.291001196337128,20.111632167265082,22.870462155194925,25.24841392336828,27.205528343708973,30.52927229364651,29.556326046245903,34.39092106091815,31.14926156802934,32.680693976422596,28.75662837950195,29.2816134605816,30.795075486297716,30.84196881749184,27.405636490320347,27.27968460354132,25.061278635565234,27.286400714788655,22.996819045421063,26.63559241880494,26.739850405470726,28.25442937699595,28.80702146959788,29.117411589065565,31.439963047889762,33.554845311290435,31.11040234303581,34.73775805569485,35.221801464645864,35.23803647325828,39.79954270198022,39.676836447392134,36.089889486050936,38.10412695224592,42.03133511263575,39.74558118662496,37.00898435578099,41.65223923409802,44.650776066412874,40.61998146025803,41.95157548858207,45.65561342288225,44.11997522640838,42.01425812202485,45.623634147889575,43.59224251786076,48.85294628067166,45.75250735776805,45.563544560928904,49.39551434079094,51.983543492114386,56.55848273878037,56.05317442851322,55.61373782943221,52.90640928596846,53.79232657050119,50.24129548662677,52.37824185497457,52.599312176433514,46.70938819250076,47.005931107466985,49.3224388228234,46.36651698557938,43.12292934205298,43.70730299004607,44.582934763674594,41.896103502950716,37.65025074950568,38.698300767664485,39.0286449210008,42.90858465012414,45.07895254613938,46.177450560499516,50.324634113661965,46.66885386772041,43.5831983054368,48.188299365230456,48.420341335333795,43.620918481458446,44.72092291425152,48.30243665734995,47.135218856919224,45.04801124103854,49.66268159072642,51.09622182262316,47.96611715563463,49.257595488613354,52.67054564724194,50.62886422805258,51.673646369600654,48.857784237285884,51.47994118564311,52.112653116209835,46.55236358987944,47.316392074626876,49.60944693952821,47.510308420457854,43.64862143477893,48.287436473513694,48.6657289150359,43.46473878743492,42.728480703903045,47.519742078498695,46.874973317174025,43.17853982841403,40.27677107210074,43.32465517312207,40.764918171697126,43.992446674413486,39.508869343601454,39.33129153129475,37.40097524592157,35.883522799547734,34.764082891974404,35.42334629917871,33.819928615135936,36.1541566350924,32.3082419941656,32.306149746364405,29.226098657697797,34.322967949031195,35.37901031016247,39.0637010570496,37.263749788960645,34.37872516087067,38.835611277675696,39.60766188860596,34.03353060749645,36.61584763496795,40.681288080059254,39.711922524023294,38.24308407796675,38.185116357276684,40.122310116561096]],"stdvs":[[1.1371427174676378,1.013261536262024,1.080196668133239,0.7358332672173877,0.8717237302284845,0.8466518368286424,0.8408393344300366,0.9544638517918945,0.9203748366115063,1.0659043933081438,1.1396276729261112,1.159326741502464,1.302513537085335,1.3196545225820968,1.5256754217837025,1.5168247781943112,1.6178487275717284,1.7960525458960093,2.0261015297272964,1.945426722213224,2.0626676086959983,1.9922629149070883,2.144805939509873,2.211233712287205,2.1241084497188845,2.1036726653513753,1.9220948397531614,1.9285871348045605,1.7649772690817214,1.5211682622745188,1.6350139835008703,1.4685910119107746,1.4784401519675021,1.5691669783569635,1.5937301284201062,1.6699363378869796,1.5391916152860354,1.6624164835473794,1.69798096615135,1.494678107360389,1.7962016259591367,1.9000719470421985,1.7335343552850822,1.8396779938633947,2.2508761891049787,2.915214194430498,3.205988501254834,2.3341683439687753,3.118198788746553,3.42652013298469,2.1475436496023796,2.294080941838781,1.4529225836995068,1.516801099513323,1.6808863755744263,1.610649526666305,1.836149614747013,1.811249649292331,1.7713816353641876,2.1624496180400654,1.9717437078734852,1.9594649351219484,1.8336021631874124,2.0454897670707317,1.9674851585870614,1.903978760559202,2.053214050114508,1.924333626721587,1.9851575846622989,1.8804235938753906,1.942832490411353,1.9981767112466127,1.9271610331260505,2.0502711421988176,1.8985260882367856,1.9355056614556736,1.893557180478643,1.8148739404744054,1.756928990488136,1.7662650943880318,1.564784920887151,1.5122618724100632,1.320367321899536,1.26821616264648,1.3104838320211798,1.4437669558219415,1.6491374831185346,1.5506910813093058,1.7427732846341386,1.7035058524066136,1.713577653970822,1.7253030670050207,1.7265483565664326,1.614523515576852,1.5694036507952196,1.5769136709197695,1.5505408105237821,1.3944228444359996,1.2966956041886901,1.18146754335872,1.2761014166041362,1.1522791406248176,1.2282516153968779,1.1806344188175963,1.1696366262944873,1.226347046000093,1.4334104034027582,1.5996618536268195,1.4910714304500094,1.2715414516218184,1.1927232746629692,1.1353266172031382,1.0049618267337024,1.1063055469424494,1.309570506687153,1.520650208441078,1.8724341967945497,2.3929615181662567,2.2078115741258695,1.9577499329783805,1.8717943094600213,1.6803469280899106,1.6247849647259334,1.1968333266380773,0.9484819993355877,0.9452399196837546,1.0839888328397966,1.0984359273353614,1.2909700582879446,1.4501606606233273,1.727735559066434,1.7362990910599199,1.7240371706060447,1.5059848766814643,1.5718960722710038,1.4416307591307107,1.3532174151227043,1.2101977260477017,1.101202425407162,1.7444973178934982,2.576632173041301,2.0651612258360443,2.138072828663585,2.1689487426396656,1.9054125716397543,1.7128828768841535,1.6291477691044174,1.355019081839972,1.1844589139441057,1.0807002272341975,1.088958704898532,1.028752028662367,1.1901688294399104,1.2470082551316888,1.211251254010058,1.1203173953042733,1.1383801143732486,1.0989245524718207,1.2245403996151454,1.1668780281151383,1.212544245029686,1.4288191476708678,1.5930298622561772,1.51917321601752,1.619006703874772,1.7915745428917584,1.2352988053157348,1.213927220383838,1.0904023960702527,1.134279535040931,1.1512197269179139,1.2924422691643707,1.2714292873634048,1.2109127509838635,1.2366567344699368,1.1459583152448358,1.2638004617827017,1.1922692620969775,1.2430468386851337,1.1431456095624535,1.1755805617148245,1.1676639377612719,1.152283353873646,1.193879327491785,1.1870244460902108,1.2300793318918533,1.4523627241774737,1.460730737699233,1.7924880969323151,1.674761850508398,1.9713672067784578,1.9005965566912548,1.8231553454447051,1.893543677781373,1.8943764779329026,2.0575554135640743,2.1346518862401798,2.0500931776593894,2.027159667923609,1.633927494104235,1.7648928222747253,1.5386767341249348,1.4628996732874084,1.6187375909255097,1.5723195553587035,1.3514637596172576,1.3834461041797654,1.5387344039346074,1.377030718828412,1.2332988258136133,1.3564210093530953,1.3472101566346262,1.1810162055957654,1.2690044954357371,1.4375450981934825,1.564993026607103,1.5278046493390496,1.8842755844682424,1.7706366684359036,1.763941813614295,1.9480550732472104,2.531671204004852,2.2983630486761357,1.9317690938939982,1.9052976010285827,1.9247552584046201,1.8865266203359494,2.0805905797345443,2.1470664840546947,2.055774261812001,2.0040389519628,2.3491312771301196,2.288271097137383,2.1628549072775347,2.3333861880247215,2.5118681812715993,2.4004379339181967,2.3162326806745446,2.130301085501784,1.9042857805362865,1.8693697373567804,1.8107542494590678,1.782105060972149,1.7254424688298826,1.743439025816808,1.6541453230811518,1.6142836254980248,1.5923761643441408,1.5127795516768232,1.4250214302071305,1.3824038365714475,1.3264527582793348,1.276034955503095,1.359964219542953,1.2966241565110301,1.389732793137703,1.2960167043231072,1.3853483096630048,1.4836121727136589,1.571882815001598,1.5818465476237198,1.7299126517687495,1.7604822095898058,1.652713326676534,1.8272919057084915,1.9676793298789137,1.916879363501576,1.9709280591921194,2.1913214692050977,2.3032894478565296,2.153351501534445,2.317488969962789,2.4685761546913554,2.461799745670915,2.371001027768251,2.174922755075663,2.6079946887046197,2.5226950790275406,2.133822077503534,1.8540403034834125,1.6835792216818455,1.3838840676653066,1.6529845641646344,1.7216654460193541,1.9957962785071184,1.9458679516493966,1.8603052031344156,1.3792127417524787,1.7635484479003052,1.2254773227336584,1.1384035303114586,1.155038718972629,1.178512734128503,1.1631727248036503,1.0410171988887469,1.0163276200706886,1.070900640172218,1.256423772591941,1.0571030411203677,1.098980013060278,1.4553232303750263,1.519815529164438,2.23670948967385,2.5523893067255634],[0.8634613198690737,0.7380511351342168,0.9967934934661423,0.45743771984416864,0.6047798885737806,0.4877988899129064,0.48654840077219313,0.5777953567456656,0.550630179921254,0.6417665200249439,0.6873699255631472,0.7088090055930699,0.7975248253884178,0.8422787192668768,1.008377113451398,0.947865847593376,1.040606514498477,1.1606115462212705,1.37088578578793,1.2419862246431035,1.3411231332468574,1.2733989421120036,1.4475870436144518,1.5177434280739792,1.4183434629271956,1.3779784098620689,1.2220106629481018,1.2638175675155945,1.1317420347710943,0.916994759929771,1.016637471333967,0.8771878142999616,0.8992679583429136,0.9408608669596968,0.9536668567310708,1.0142415316233653,0.9255522057471994,1.0025580951403643,1.005771007956112,0.8570341959262102,1.0718663900334169,1.1761838274687604,1.0435281758500312,1.2331369498910074,1.6375888196280497,2.3621984256952375,2.7129159776035303,1.7392603473617445,2.72855336716314,3.0606479377363702,1.6734346486885516,1.97635963335264,1.0614267022286785,0.9683104408600332,1.1772131507534411,1.0354900857738703,1.23464330483772,1.179477926045336,1.1693085307726045,1.6311341317027384,1.3253494331705409,1.2788875804080166,1.187727199255995,1.3438550231673017,1.2805975827582952,1.1963120959144031,1.3537753035012536,1.241386776825739,1.3384405951205764,1.302982744785066,1.347331528429101,1.456380764839305,1.3353360700866603,1.4129087085400696,1.261109375832709,1.348954813758979,1.2098572647902317,1.132966679159783,1.0808131980583853,1.1037688991391401,0.9103439757453097,0.904403223878458,0.7672297497996555,0.7283772343376368,0.7313609999583839,0.8223027060733531,0.9888314652998231,0.9177440487284853,1.0607068589765072,1.082642232015484,1.0504795318619335,1.1364980385875827,1.1181088066544653,0.9942674412514355,0.9767163721162637,1.0099861629153517,1.0790281903690404,0.8711748731206214,0.7780063441193162,0.6854233788634587,0.7432180242664662,0.6463346327761299,0.6667851989149821,0.6484600242292328,0.638521657137678,0.7040341631135141,0.8841263093768175,1.070085174451805,0.9686760273078749,0.7856873196036906,0.7398119347919432,0.6293721490726469,0.5700643223653249,0.6454148225900811,0.8300241332045561,1.0614835864243315,1.3038022865736303,2.002620379186767,1.5642377380898977,1.3329476828759566,1.3011907096968718,1.198395837864,1.2180695742873398,0.7918684109267256,0.5726475176522204,0.5478627657737528,0.6799580717669284,0.6581017783501949,0.8231351648547415,0.9401052997010069,1.1545271077777126,1.1784505732662458,1.2007070843866126,1.0070772887771597,1.0438091460294003,1.003855929682232,1.0217099095658069,0.8532655167495481,0.6525291670871073,1.2644373548220376,1.845593346818286,1.323520901699063,1.4852251830946681,1.503706860791838,1.2022674601788053,1.0529595076188034,1.0136654631776851,0.7902142565115495,0.6416107445151149,0.6171977691347231,0.6026449376956272,0.5805591655101183,0.7490660868699714,0.901783805708942,0.7910620366039102,0.6301732500197696,0.6378773385746556,0.5805065625674211,0.6829373572440233,0.6246908036597625,0.6102059141248485,0.7959655345374365,0.9379899302750583,0.8403206714321415,0.9066425795157708,1.000765376334701,0.704942106769767,0.8366709676804988,0.8610632764628366,0.7916427506370584,0.7044140394941941,0.6871484400177644,0.6615193817417949,0.6178387096644559,0.6362062961981091,0.5896730368882728,0.6940835572186883,0.6275873028477739,0.6935649573445675,0.5988486624235645,0.6434293285565837,0.6335537308005759,0.7283157060500953,0.830162361884535,0.8060671118653475,0.7852452131327305,0.8771234233781291,1.1177925021640853,1.4898715912066753,1.3412097945361412,1.7559537966323737,1.652515048543137,1.5696001728593365,1.5371875905337478,1.4406684735747295,1.5287629973190437,1.5386843781234696,1.4278851242224893,1.3888598989311691,1.2682988550717413,1.1970050993661554,1.0911346333915155,1.0470869983712738,1.0820444028386613,1.0360802356663985,0.9540405817242364,0.9658395170578193,1.0407097292856697,0.9245735398686109,0.8970173068945615,0.9599765965063257,0.9393159466473692,0.9100656590350072,1.0040253717788308,1.0962486763448407,1.1752054834986028,1.0835917169388511,1.3370913832274387,1.2117309360900625,1.173981176249818,1.3463355903586463,2.019217745629804,1.7280788541460603,1.3225033460898745,1.2813237041185173,1.2851304297506716,1.2887867637843053,1.390011539597435,1.429502076479156,1.3967504409911216,1.3399188626508498,1.6482398164938805,1.5684080936079443,1.4628508494845531,1.6960899171124129,1.783252764021055,1.6588046319418503,1.6642923192930414,1.4427476034497062,1.3040591492386475,1.277423709585733,1.2468418927166474,1.324951774919431,1.2598850381913806,1.3795164111421647,1.2333981576186732,1.1475972024630734,1.2031050914745127,1.1596823785925487,1.0135434186866537,1.0077184626449942,1.0476293693481118,0.9668961398998284,0.951992957537188,0.9652431834877608,1.1293764414535146,0.8890594247711803,0.910658369769886,0.9542252566921369,1.0091228525610898,1.0551908422125649,1.1197273387383095,1.1287367397243844,1.067984959472052,1.189349240604061,1.2897088014929339,1.2795494079500953,1.309111875231902,1.4865456803668995,1.597824147652027,1.4829009117109613,1.6049874539279596,1.7354866768990902,1.7627777355529757,1.7083028573026444,1.5709604344244184,2.0360090353573606,2.0279518072564375,1.5778249870260843,1.400637539884948,1.213036771643239,1.0236771152206443,1.3030212796086809,1.3049990142407653,1.5114796752223478,1.4032311583342711,1.2680636312850466,0.9775480726625619,1.213833477168619,0.7890293317990013,0.7989391396789144,0.7569727344811444,0.7611514164837643,0.8419418186300249,0.6870798078818091,0.7278877274569965,0.727035897821431,0.9390820248216989,0.8825941711969634,0.8740794304634922,1.0336659920464373,1.370902860608454,1.9856783667947175,2.4054489031690083],[1.2498200171679141,1.1566137587188754,1.217393751824407,0.9195169137360638,0.773496907890722,0.5085838447272562,0.45649437511095786,0.4692279613564788,0.4655731909424737,0.40360688692449614,0.4193561440278959,0.47089764351803653,0.4660494270563233,0.44359821348242884,0.5721407964128588,0.49951509539708383,0.46903043890298646,0.4765496446203015,0.643220784393791,0.5189226296397449,0.5991452155083546,0.6822836177569208,0.8377291804095935,0.9196988849647662,0.8265826955197565,0.6534207289955676,0.5710842705157078,0.47927070299628083,0.49228594283783184,0.44778839808514115,0.4900407950811506,0.45915768629912984,0.47689885891679346,0.4854959150385221,0.4872485514553808,0.5028335536058104,0.5065315099487759,0.623832954094233,0.6238893536146476,0.7919201651447079,0.7227549477588376,0.6700984483279951,0.7256459291906959,0.9226253976242029,1.4222271077906103,1.9215676947672953,2.4070460336493267,1.253125188288082,2.199620219655883,2.525957980560612,1.3826187351244523,1.7273372144023729,1.260981634525686,1.1675233342694056,1.2301373547708614,0.83351517437297,0.7604628688682721,0.7515881153058591,0.7303049950992614,1.075826380781359,0.8287156009643809,0.7341990922967511,0.6516712893983597,0.6908348000168594,0.710194557114279,0.6455208539037053,0.6117636673256818,0.5211659091710213,0.6273160404960716,0.6825149169946622,0.7193681682673264,0.9253366081517735,0.6886715904699515,0.7594832863248564,0.6232467407633564,0.9621772593086186,0.5643818576075957,0.5342089294177992,0.5290649771686683,0.5835654442670272,0.5967847596531959,0.7191910746096579,0.837808532232222,0.8233291695682465,0.7691863825579107,0.6404507471984777,0.6043859944988983,0.6002950742238512,0.5125665284990484,0.5535208658122466,0.5370040342823998,0.7866357889739949,0.6793053125643066,0.5303366338629265,0.49581528248091233,0.5832065892077294,0.7324956220829891,0.48639388455377763,0.4696913674192185,0.46933320505796833,0.49696504942742276,0.5974670647418284,0.5857518875706272,0.6733419582060242,0.7626376832841432,0.7208212564171529,0.8121102216867746,0.9213889936396081,0.6958591241461315,0.6361546728950236,0.5372355652372907,0.5772959771536742,0.45305511241473456,0.48869735950811927,0.4479697007903141,0.4832596334000802,0.537473599762756,1.3274851782559807,0.7366951165416263,0.5234725286234166,0.6090900036276055,0.5969682339485923,0.6371699936295596,0.4385988118153456,0.3924859549346823,0.44282261825263447,0.5573922992223638,0.5681420023639073,0.6684106256978939,0.8994230802417587,0.8743946374758974,0.9454463483863544,1.1251810269808784,1.067124167458583,1.1010632235120599,1.1953040376512811,0.8577260538553536,0.9304818723992455,0.535287901976453,0.4884664566226264,0.7097764128864528,1.0781082948991756,0.672795471053433,0.5268782038779463,0.6379834274862564,0.5084678806131339,0.500293152379376,0.5083892230975329,0.5126985534990647,0.47153804262839366,0.5374007547294538,0.4745606703178026,0.642031067060787,0.8271695450249017,0.7727652867076367,0.4795971097741361,0.45302249604075245,0.5026470458760866,0.5000791284933533,0.6005356336349038,0.647437310154282,0.5907793278214389,0.5955066003875862,0.6690398925157208,0.7919257483972441,0.837381316881022,0.9480226775011192,1.056793030969325,1.1248896663484411,1.0796744240994225,1.034948858364859,0.8861084404355284,0.8569180917335487,0.8026249720651801,0.7170872063954472,0.6891012071489961,0.6451016541108386,0.7199485637272908,0.7524012838532369,0.7741638760878143,0.8373211615629105,0.8648157026777378,1.01026351609321,1.1228652093166198,1.131394357019772,1.0772978733240122,0.948431276489382,1.3416910882327853,1.7976344572595504,1.5790811999492218,2.049984043984039,1.7893404620505207,1.7561617251416117,1.6332852266554445,1.41547899267654,1.365566551855548,1.240225220424629,1.0389992930169483,0.8860523258787704,1.03094059212903,0.7394813647148221,0.7722154013040983,0.7446469213149908,0.6588839898812608,0.6487827861472092,0.771808431970182,0.8229731712441785,0.7838324530620707,0.7679516266991818,0.9572125180325195,0.9518794739320027,0.9362061403303865,1.080029722585311,1.169243924582497,1.1677043118772543,1.0818856219531927,1.0577531112543628,1.0699412730672409,0.897585044744572,0.8628126474279962,0.8736335480834664,1.572359739622734,1.2348737170368904,1.0639562987446456,0.8833047506038476,0.79366261680182,0.856886747266411,0.9308943975998683,0.905671831127682,0.8609920972099124,0.9157079462171257,1.2399536213497877,1.1027065984822535,0.9764445377369037,1.2769074951805266,1.343733879032656,1.209484070978344,1.2816280028133273,0.9212093787022325,0.9123912783807964,0.916522589229046,0.8636868355874833,1.0372709638181052,0.9848049338911795,1.1877939907694421,0.9650305320466412,0.8560454806399843,1.014666412958218,1.0011556141029188,0.794684581042932,0.885917307157413,1.0424089380003487,0.9519121318184802,0.8620156614737988,0.9735633885624813,1.145942244518934,0.8960933023984756,0.808351783545827,0.7392648222387314,0.6892936807090834,0.7228945059353193,0.7307023439226104,0.6679053250740382,0.6789806012175915,0.6764273644083958,0.753339871054952,0.8552892515755689,0.7656243389777551,0.9000739477593381,1.1323587552919216,1.0208688423059609,1.0475999653289485,1.2047702498286894,1.3058771235140967,1.2510285314707446,1.1842889592186097,1.7629566117219229,1.8782751604933468,1.3468468595557856,1.2576252463986424,1.0120618200308498,1.0450809128055392,1.2976707280588025,1.1270082746328096,1.2421512148302971,1.1204415407128598,0.8134742282873113,0.7170827760592671,0.7084733165833733,0.47638528658084384,0.8959506246722302,0.5130152130794187,0.5032013823914255,0.7862488086395266,0.6135462420323099,0.8707720194370969,0.7056637866068826,0.8710867217310181,1.0743294551686342,1.0821863896368535,0.9226035123542498,1.430488978209179,1.7865070889002328,2.217919731524898],[0.726117782004915,0.6498633321826383,0.8547565863894451,0.45452188047172887,0.5030054589300317,0.3780343521084572,0.3728373147087067,0.40823519405124226,0.41156617168283066,0.4101579189156006,0.41915416302784353,0.5263192473769989,0.49730615759122865,0.4761366985401892,0.5685627500475338,0.5245766576822092,0.5086885029816431,0.5258131570834466,0.6332745919209875,0.5789591239534682,0.6140637596075307,0.6398546463707103,0.7947061312509978,0.8805380496485481,0.8264780304790367,0.6415225218371023,0.5653089514882067,0.5851167835678622,0.5654034828024008,0.4778315028151115,0.5038604695991943,0.4889765419809357,0.5448986942004729,0.5204619792361462,0.5043798654980461,0.5039131211662528,0.4944317280740568,0.49703384259086536,0.4948936060969813,0.4969685801952401,0.6303724096552488,0.5642735799629343,0.5126192216498328,0.7516216484417279,1.2912236232630085,2.091601421187617,2.3309799639786255,1.3001243358206038,2.577873168532821,2.808102665025338,1.355041614644164,1.7794866360686228,0.8712618121084069,0.7450559710649205,0.9794085692727552,0.6185592830470561,0.7295549617380882,0.6884482296347652,0.7172257705575451,1.0742921034860804,0.748978196497502,0.6943197762086801,0.612055354620798,0.6812963742434812,0.6646873210228893,0.5880566377214307,0.6353672287670051,0.5551779573644585,0.6324109173664609,0.6671553226006854,0.7435473042181641,0.8970146401634548,0.7129043455930045,0.7241753331247195,0.6587174211779139,0.8301555651728748,0.5746181059162574,0.5440339761177572,0.5413559982366815,0.5736908290780999,0.4846495511906173,0.5470422574478959,0.6212583094589785,0.44057036384682563,0.40689487622000114,0.4632241336465568,0.5084897305787979,0.5275304620586204,0.5107529018606622,0.6088441382530353,0.5278011159172575,0.683460542644331,0.6248714639342194,0.516452843729496,0.521572038903716,0.569740312326341,0.6630504925906187,0.5424351213220473,0.5066715682195019,0.4860625455903242,0.4807381780007561,0.5079304573008065,0.44042974016233766,0.48560598411887446,0.43435742684740825,0.47110519103485077,0.5018832077113851,0.5844616552170081,0.5085918219135934,0.5223542775416441,0.5006743583993903,0.43888440994444694,0.4024255169660608,0.36458930911813026,0.4360390592618887,0.5355657596057314,0.6994242230844812,1.5038828520762626,0.7459082588643197,0.5839082667461926,0.5956857496737228,0.5877715688030019,0.6071573831822566,0.4038162178342359,0.36508929486077135,0.33393608864742924,0.6902711150851563,0.4211432523467607,0.45741284400647436,0.46174301105821225,0.6228426817707385,0.6084037599774716,0.6114090270013088,0.4943280802802634,0.4878100140113392,0.5300537647780751,0.6059075499567798,0.2840648960372782,0.9275888680071674,0.565035859436815,0.8108375048608067,0.7615828722591736,0.7482738996459134,0.7381834514207869,0.5759462267806023,0.5142929548368533,0.5186449611089522,0.42444678475992004,0.3751242391759442,0.42446840403328084,0.46845453953447425,0.4432868178908969,0.623401872029309,0.8161110884699282,0.688464278019265,0.45956354493238405,0.4491069659425834,0.4139024414579655,0.43070931932378204,0.4394477806630263,0.3770349626121988,0.44940658883965867,0.5145392014236885,0.4422519503330233,0.5225311873041854,0.7256279398216308,0.5136436019940323,0.6596290183627879,0.7217059590488799,0.7003132412660643,0.5222440399960963,0.4878817397203722,0.37405644697312074,0.36485420562112403,0.37142209527457903,0.40677233231048127,0.4846079018615712,0.529171542777342,0.43146956601210984,0.3883014325578631,0.37272992209120787,0.4076327052422445,0.4876356196450907,0.5872544274172035,0.6298560363802767,0.6235607452736813,0.608883532425675,0.9016867387378761,1.3821446919685854,1.2333741288351496,1.4477545132394198,1.4317176357982435,1.190870868091511,1.1170078323727055,0.9349151406784958,0.9646615842403357,0.9953876679904421,0.7998692977261196,0.7063559425101182,1.0441349921851093,0.6763821305155016,0.765264457800166,0.708966631501088,0.5338742714192838,0.5590696894799861,0.6658907153950944,0.5883420433757703,0.5702730721694643,0.6052842871090768,0.6571979995766045,0.6070595437127079,0.6077541542502488,0.7485231248998074,0.7871336551910665,0.7721290748392401,0.7513052712013705,0.7143708559777532,0.7250735417330237,0.5914737124246057,0.5603603181734466,0.627000574587301,1.5820686997682647,1.0938613417602787,0.9674280962848054,0.7599694235731121,0.688512349000981,0.8125015319780448,0.7886180343075846,0.6666208222411534,0.6813763097539626,0.732467681041392,0.9058463722361034,0.8207340846444381,0.7055813932925709,1.0371621575880177,0.9234058687830209,0.8387562127873561,1.0356881859459781,0.6737561446042896,0.7577614628249021,0.8109448950329434,0.835100434695172,1.0444875977136387,1.0038721813173526,1.203540530575885,0.994438030138384,0.8592147520945819,1.0219167498705641,1.0133865239711928,0.7827831654487516,0.8536134788680615,0.9680982127601271,0.8248718634213572,0.758846722923069,0.8488008408891435,1.0098326625363692,0.6930585344188268,0.6343128642593456,0.5638396529170684,0.5860689951968181,0.6603666400265986,0.6317069787867994,0.4892049516207861,0.5006133968680128,0.5338046120891241,0.5081567470168407,0.579788851406067,0.5307757883483415,0.6116359980317357,0.77085826469237,0.732222041120312,0.7628768456206303,0.8680236533104806,0.9559033246465016,0.9511668635813573,0.9266201337378318,1.4220003448281695,1.604381876811286,1.0186206933691315,0.9420005843741655,0.7127057391339526,0.6810262905337492,1.009630123444716,0.9017236139033235,1.0183064570395037,0.9680815151384259,0.6149830769254356,0.5496572614864657,0.5718314043704217,0.3448838827650733,0.7054121660209502,0.435955168474178,0.4100032014034719,0.7553799525067153,0.5419343962693531,0.6681975476610991,0.5885055851092356,0.8121789344971948,0.8527597465208656,0.8790308420093385,0.8745297747230047,1.3917082044576272,1.7989111765137722,2.32860942628959],[0.8519144825009587,0.7320391347013213,0.884968078202286,0.47575419068711694,0.40892806800904696,0.40264279209855636,0.3932674236347101,0.41340948262594035,0.4447132060815192,0.3183342402656614,0.3277856752271837,0.43122052601622735,0.36946526903351434,0.31271436076471315,0.4095108830153044,0.3738981387848053,0.3626646244749161,0.33658755304308924,0.4599266325530915,0.39098975685554865,0.42594337412206795,0.4856963324591775,0.638628115073291,0.7209349200953347,0.6816974804771826,0.4931001340328866,0.3905115044860541,0.3713603797001969,0.3704865617974778,0.33568379400099885,0.37131201206532954,0.3549624067149265,0.40291710802411707,0.3748697479396692,0.35071929886136866,0.34399058582357767,0.3381669529942297,0.3781839081162548,0.3557269712307599,0.42949557973920666,0.48608779541176395,0.43568486211537516,0.41890911888552024,0.6686698950947813,1.2150296795513589,1.903162164908552,2.1940713870475475,1.1214184914811034,2.3977008131404194,2.5941401210935835,1.221617748854783,1.6692066537674703,0.9256198724223821,0.7893445435433764,0.953853908976857,0.5295191122344944,0.578715855767963,0.5515801463308133,0.5911076980945648,0.9711404232088545,0.6031795135615045,0.5675869156608064,0.4778923017457681,0.5480689127586179,0.506479217496176,0.44189619260953217,0.5057552377156554,0.3905420789685027,0.5097378371398278,0.5408424371555003,0.6295699206159743,0.8342555665388207,0.6048103208414021,0.6749994968628158,0.5081223193892057,0.8335315392132949,0.4310040372131555,0.3827964974904126,0.35750789661230276,0.38260767686113956,0.38076871297987813,0.44541604633685766,0.7012951830882523,0.46484536482275746,0.3964548842574184,0.3754686026122278,0.372617248867129,0.405036447813512,0.34152063495074936,0.4530328768712812,0.392429518638736,0.6220146743671154,0.5185613186489983,0.3894917883785196,0.38087121123812706,0.4525992926452246,0.5736964918650928,0.40262560920873286,0.40954308916430315,0.4673305497067049,0.4132084422885827,0.5740973092260669,0.41304828258471277,0.5334547954732555,0.522186230529604,0.5452593876544013,0.5689474631928811,0.6446125538348298,0.5715062342237353,0.57842752869135,0.5009216431216738,0.44003714897106344,0.3940249241645866,0.37000818573667993,0.3018073625599972,0.33662692128256144,0.48355299246725786,1.313721283452948,0.5614147081909726,0.3729354763772374,0.38579457037945997,0.3817308945651954,0.42477901956129,0.2598594267018134,0.28322015451341837,0.371674149580835,0.5885572322869962,0.4838342328753634,0.504190395351778,0.5704650201787024,0.6546545671362974,0.6762534241882486,0.6705799973821364,0.6297589641036204,0.6028766573013916,0.7268059286238462,0.7584079182765499,0.4644668185465347,0.7813912336220938,0.3776709285448705,0.7940074047907932,0.8254276854887931,0.5698762850457082,0.4551406353383769,0.4249307727726968,0.3208989527631816,0.32599962826584983,0.3465651516399567,0.34952305499758,0.4060617463697616,0.530159697302963,0.42368322485864945,0.597428590738613,0.8279541925189613,0.7362902467629958,0.4490287596053666,0.3847431045337086,0.4466906356292419,0.38257549361291926,0.4397097694864544,0.39273600135394054,0.3624331847771396,0.3332579061513027,0.32171526812587603,0.4181127007993512,0.5646396173022084,0.47228703392935695,0.6496028898551162,0.7208698292156736,0.6627259571870405,0.515864519070462,0.38008393612386954,0.39469145033348035,0.40888090756071804,0.3896877234938279,0.45129314007986887,0.46810600894457716,0.5782728650992469,0.4582506676490508,0.47457782433097695,0.41049177632581646,0.5156373355171581,0.5806759397850924,0.6702943846256488,0.7026871722141561,0.6716175484971278,0.5923614728452558,0.9824541757065257,1.4557149723734377,1.2181485050063685,1.5296043926988403,1.3841169136159173,1.2321530320632776,1.1462322973624566,0.9439869120227382,1.0041888069261622,1.0106233426053692,0.8170641357407912,0.7579145681014734,1.1507810122883504,0.7490720487172968,0.8881341752816835,0.8685443033025048,0.6674659672731507,0.7079576665074204,0.8891640005355839,0.801871953646013,0.7079995436409163,0.83794836480582,0.9202782160205043,0.7984804282827227,0.8331672674759583,1.0332892486510998,0.9919016790689918,0.9692929911997815,0.8659320735038,0.9067117417236812,0.784378704726536,0.6861740566841562,0.6853615074853174,0.715397819022054,1.5643251710214783,1.0352291394440005,1.1057847402704362,0.7992824112722036,0.692535112736684,0.8363627562694593,0.7581640386108159,0.6776816707164268,0.6740132399161298,0.7727801889163548,0.9267139527522663,0.902557015354585,0.7572732932779459,1.0153354359933309,1.035028384434278,0.9296483929376711,1.0878710637522784,0.7284045770591762,0.7844812476467184,0.8164778663736129,0.8799982919158816,1.082481002463601,1.0586614281777238,1.2590891695869981,1.0690396883821074,0.9570070169898992,1.1441448398323653,1.1846189219330467,0.970206275187368,1.0838031448812362,1.222073915882626,1.085262639052856,0.9931934749682078,1.1050007525235284,1.2606254309729101,0.9394346710290153,0.8726867326586176,0.764757983951971,0.7507127118536109,0.802463235136089,0.7063472842072485,0.6162337455648895,0.6408370822640458,0.613401654496011,0.5761419799621179,0.6539551963548745,0.5934618131511886,0.6468929513294881,0.8716271956873965,0.7829289993895426,0.8037431994586339,0.9086383824370327,1.0740281519170218,1.0273396215960136,0.9623315894808792,1.4660643529879809,1.600288716116146,1.0331246199098767,0.938821699351317,0.7210644871539599,0.7448315869204565,0.9754758831873859,0.8405147768755158,1.0390784452434758,1.020640121678028,0.6949106372205083,0.6875008839852776,0.6777214728407038,0.5596340588783579,0.982530281174262,0.5510673367311543,0.4950167344263532,1.1658667431055272,0.6270982695471693,0.6884782041133903,0.7642555547128527,0.9463406826189834,0.8907497997965874,0.9700499899259598,0.8269780000469565,1.481507731679786,1.5838654722220276,1.9533380716606266],[1.026335762785097,0.7348763762870475,0.8974845296366954,0.5241762249253075,0.6330258557347698,0.4132715505947443,0.39499387196382973,0.4287930155309715,0.41131305840860743,0.3213689068462838,0.31961475872114437,0.4243962818328148,0.3818324075532089,0.37305555606061275,0.5391855585225752,0.452565602645069,0.4370225610535832,0.4127660221014495,0.4773900116067535,0.45119356755199375,0.45531418549799657,0.5168699503001041,0.6187141682844495,0.6711427396965034,0.6545677147318245,0.49416723198997503,0.42794340225473904,0.42637867009563835,0.4402460534555666,0.4026153020214176,0.44352012978780153,0.4191766692589812,0.48136614592363586,0.46392655572571784,0.43565450610261186,0.4274641398417679,0.4096512814980098,0.41251054733836884,0.41043394823538026,0.39996839610738766,0.5229625939717683,0.4623202100946491,0.4164523465582603,0.6947454956421298,1.1591404543046282,1.7449121072034912,1.9740932187079172,1.0717468247824449,2.396771504826137,2.409336528290942,1.1667231399624958,1.6316183651814635,0.8814873941945993,0.8397106519410285,0.8966612863571579,0.5346303390119466,0.608022319279096,0.5943087261384837,0.6409028218807681,1.0150957523970323,0.6329587248985206,0.6127542443760312,0.550396553823555,0.6146612250936918,0.5391093765475417,0.4883992690412166,0.5712057933074787,0.4569702072535731,0.5442977692332069,0.5878753224488407,0.6419410279315911,0.8361929350810189,0.6293731011942573,0.7090952998893333,0.5751074461235427,0.9219750709397206,0.514833299305806,0.4872137905380838,0.45184037648007846,0.4731804260854597,0.4069153362598714,0.45063669364798303,0.6724512907283632,0.40729343042458294,0.4234152875757134,0.39258204682325276,0.4248952704593472,0.46699067641193626,0.42286660520115593,0.5468357374207038,0.4608802433532146,0.6747429787844684,0.5960256904828524,0.47882094254627294,0.4743131128518248,0.5667926325351968,0.6889898597049069,0.49331926576241447,0.4648783801498537,0.4643708128292979,0.4299780063982696,0.4412836232374403,0.37895052601876816,0.39758472427712893,0.3956808924314127,0.41528873445532755,0.39601832513312707,0.45800341907357545,0.4091740236874934,0.5440766625523655,0.36660016930421047,0.3262191866336303,0.329562719317052,0.2968877697812305,0.3140368055430245,0.3809595101116952,0.5056117427916745,1.2455582985828466,0.5460626570176096,0.408737926291364,0.4297154133249289,0.44650309481019046,0.43507193923750676,0.23940281680014372,0.20574223213448933,0.2658921840696039,0.32112625043820353,0.34546430351687857,0.36454586140830997,0.4460293186179671,0.6142894075450106,0.5253745147707898,0.5467854767778852,0.5532470912348448,0.5138970568426675,0.5949075919167209,0.5341889666923579,0.5004184583951011,1.0480571553334939,0.5551168966473413,1.1233839379786876,0.8340707255476655,0.5140687281819283,0.4125010104806818,0.3913454611966303,0.3499156992852985,0.34685003632336286,0.3324455439371876,0.3021990768088565,0.3369200963894293,0.35442143230187395,0.46991096246267133,0.57415993890547,0.855499578849861,0.8931366362599511,0.4594590255805378,0.40518781279403826,0.33280095540749005,0.34751116280422095,0.3583830190384824,0.3897541356101083,0.3688668394552325,0.391357416417086,0.3750202318254366,0.4607267534262806,0.5916409489398671,0.5314491475509032,0.6877913325812524,0.7353182160266182,0.7495170945868098,0.5887638432323489,0.5174766075255302,0.4423323729049522,0.4114673961821672,0.35367639065329254,0.38335748422881305,0.41775973384641807,0.47242493222419674,0.42797902577639485,0.4048361538697872,0.4278401759105112,0.4136881471520491,0.4984374581574504,0.5699486210742284,0.6090213689421615,0.5992039646032241,0.5308827213406043,0.9770891601363415,1.5041206899826862,1.173186916041426,1.5521308970832817,1.5689461713930266,1.1850422884036855,1.060279917366289,0.8613812144335149,0.8669044732586068,0.9169720314175945,0.7601436190682337,0.7228951720230986,1.1446881291086908,0.8200511990274758,1.0270638509948735,0.9566634447219629,0.7561745304866889,0.8550214138131131,1.0530041093201836,0.9087587638415859,0.8297813543849331,1.03708551516485,1.0547551529996146,0.8959211116096772,0.9678186735167453,1.197495856340611,1.0654517083681674,1.0117494888041574,0.8907832943282807,0.9979076571276577,0.8016523516972763,0.746003465064238,0.7578753542973358,0.7418805274392797,1.6564110287934193,1.0907105329240672,1.2408480786401956,0.9240756461346619,0.8540270392761892,0.9783868400063935,0.8640552100235899,0.7055554164083679,0.7264610584803718,0.8058485442243333,0.8983858720220046,0.8447138746681736,0.7125020191631107,1.0084949322748598,0.9453556908295274,0.8810797065816849,1.0160651893872372,0.7021834751971658,0.7775536040884826,0.8971488958709408,1.019444166026823,1.244562172239641,1.2865329671775594,1.4868049663929785,1.2396756190643559,1.1762193398963814,1.4101136795664855,1.4047280738394912,1.2069381973964808,1.3720080292609809,1.5265759367097032,1.3311118729479763,1.2535072739697553,1.400081732307208,1.4917524546721987,1.1845292961125702,1.1287260764259646,0.9830049641191272,0.9858317557435815,1.0246512459361072,0.9253530772356016,0.7801285609229395,0.7895915610623966,0.7466136983311711,0.6459904559347486,0.7160918684965324,0.6309396399886738,0.6411289644423753,0.8422101899486515,0.812862028598916,0.7945726103296826,0.9067973028972006,1.0610631358841236,1.032537011491133,0.9777199403267601,1.485199251808338,1.6136517591227018,1.0313084936446748,0.9473545826087367,0.7700360047891448,0.773691195177738,0.9831916598290255,0.8856696289596058,1.0658213825327256,1.053854482938071,0.7423123701633556,0.7620011679193723,0.6072547800614677,0.6399725900351322,1.2162127845058945,0.5372191108890148,0.5712195447938925,1.0993960358724426,0.6730133848954369,0.827393626289731,0.8483587391169536,0.9887920214412463,0.9983506130381702,0.9703410915264022,1.1475706682846116,1.3196917417274272,1.8114052740563753,2.1621495290911623],[1.1654966433934422,0.68817141978551,0.7622045275302315,0.39483036116647324,0.48485831773356686,0.34852921368315337,0.31746611601789443,0.35559772634444003,0.3955271034976193,0.2753268768086439,0.2889269937928166,0.37325113810810906,0.3231434419621751,0.32151375506408786,0.4594561350119102,0.37232241842452274,0.34864844456042715,0.3081032968425903,0.3880010477232802,0.367945486490301,0.3588176906657834,0.42237244339569185,0.5011479703597697,0.6014372486600701,0.5539017913274429,0.40783339373748567,0.3393404858346957,0.30516055398349906,0.3247239966646559,0.31256170736223643,0.37755965332818364,0.34152582258097647,0.4308964380342799,0.388688870920611,0.3362867397912033,0.3097565751507151,0.3161737267966811,0.30970780167558903,0.29500572647191264,0.3003599230664425,0.43860042267802435,0.40472003155677777,0.359572111286427,0.6428635731081871,1.0918159766346756,1.6552217391791095,1.813769621412723,0.9445686875361411,2.3457313904449446,2.278651591455183,1.055152204319991,1.5501902767497568,0.844283987401594,0.7707244343160051,0.8636051917375184,0.43780191173401284,0.5094906458490079,0.5252918445468129,0.609240810974036,0.9407513344398084,0.6033963994861486,0.5607955286582453,0.4740866794786884,0.5817503044769631,0.4812799108951822,0.4051683206545971,0.5404371451620261,0.3953367942573621,0.5166156732073389,0.5259757114358741,0.6017296242232572,0.8114000091168647,0.614516239417429,0.6964420733750433,0.48899759390962855,0.8960868084743676,0.4251298958005563,0.39378923272847444,0.3647040320113153,0.38453981804504245,0.33492337001889927,0.37140997961789474,0.6426506103348337,0.3657660061843222,0.34155565615519984,0.30300117550616534,0.32295085471179036,0.40202684940829814,0.32196254557441834,0.45797243312499486,0.3719020406510684,0.6321810936328482,0.5335802556377731,0.41274940594937176,0.41020756651812207,0.5193176929101975,0.6416856835334706,0.4575605659159309,0.423047746304479,0.4547185648380128,0.3774425669009474,0.4357007416603483,0.2903995268073121,0.3436112727548322,0.3324517932123008,0.34827701059720834,0.3689241794103653,0.37524931318856064,0.34910280903895874,0.5181735356323958,0.2969297017015723,0.250877061066228,0.23919183283573872,0.22035778394356648,0.2249631633770891,0.24877776245070268,0.3962957635762022,1.0710738095679688,0.40414986265039304,0.3368905487095958,0.2958819949357869,0.32439070111654306,0.29273722173237365,0.1606165677466374,0.14908400265740696,0.2513736841478634,0.22594607752280732,0.26137966570709753,0.2552807453289832,0.38276897517546915,0.5877517805375996,0.48231741925488825,0.4864944500260146,0.5257441565492422,0.4641101896484733,0.5304521614697119,0.5208658173857553,0.45514320036641714,1.0111959491478302,0.4193611294648542,1.2729909666315482,0.8713880781657787,0.4729777091209635,0.3415353665685723,0.3019937244875294,0.24271776065663792,0.2209547559311805,0.26134838825148665,0.21111400719252554,0.2815006044925442,0.3412890193555056,0.4654182473569123,0.5895984669231173,0.9324180662978094,0.9273319980131038,0.4403460126982113,0.33615626863208203,0.29106271486558033,0.26342519677268555,0.28497527421583707,0.3076670628768647,0.2718096188387096,0.2926438675572234,0.2658351403049194,0.38177768234024256,0.5528840778876974,0.47310668994848304,0.6325305619870484,0.6796913516237892,0.7018530238882775,0.5274338041255144,0.44745369275511354,0.37289554744411,0.3265748713857931,0.2584883434934768,0.30964181848672706,0.37749948522011667,0.4828335316469009,0.36471332804363144,0.3502017336669135,0.3360196084188565,0.3546784484428772,0.4449764974510433,0.5129266371208209,0.5588790101572293,0.5560586388821763,0.4732735384115038,1.010715233598311,1.4796388223399985,1.1063447554820034,1.475560501741887,1.4596439849270268,1.0876982527337091,0.9791608662839525,0.7830552369651229,0.8036152636295595,0.8952708777036018,0.7115851247966902,0.6474473776020006,1.1108319833753664,0.798446265205185,1.049669464852984,0.9508552187185872,0.7247879337755703,0.8814033146652362,1.0963930666651072,0.9178415975921861,0.8352200801548963,1.1169586084030845,1.1006453332672845,0.9117995398323566,1.0310205137799948,1.2868549181161586,1.100400986965982,1.035441715132929,0.8741941835186222,1.0468247201701366,0.7407478451641678,0.7264382165661083,0.7703115600554215,0.7363575198730279,1.7313530592571302,1.0821590198040278,1.3161527762119303,0.9456753466913138,0.8902257680975297,1.0150440997311685,0.8783260956889882,0.6825688722808994,0.6789563077052658,0.7811664850343213,0.7792208415299845,0.763847078179458,0.6344274786093258,0.9616603568871581,0.8337860816433941,0.7743815562555334,0.9307092865259096,0.6056400275737032,0.7602436617710147,0.8779075868545029,1.031018137929104,1.2766259456687572,1.3690299768285652,1.5509700606632346,1.2788280648001462,1.2486601839885687,1.5186074647683978,1.493904034275331,1.2994627958617104,1.5035441557988427,1.6656452923439669,1.4449900794452288,1.3747721968010378,1.555572046048877,1.6302057867488133,1.313728606766218,1.2677258756076542,1.0899558808598229,1.0888148169156449,1.111597152633582,0.9820970108230058,0.8390158652360897,0.8259818049821569,0.7713944013799875,0.6338821511864744,0.6745371415280339,0.5682655288232861,0.5668736260274354,0.7203635824835021,0.6947568985717456,0.6900779861141957,0.7775990955334462,0.961029963519773,0.9351555863579464,0.9120027379065776,1.375577115489752,1.54777768308027,0.9672981411824886,0.8908980586777185,0.7001188691510436,0.7244823053250026,0.9454418027902903,0.8370195688071292,1.0105550281356348,0.9836058326726255,0.6748588296873926,0.6874377667438526,0.5279610913653601,0.5875235864389183,1.241471158400873,0.471668897108163,0.5526600912667468,1.3421499302361737,0.5806712397731257,0.7629012426134634,0.904245684895397,1.0072247781412642,1.1828684841405288,1.0982765675677544,1.2249496757914533,1.2932564451825936,1.7007341884916038,2.1462134966817783],[1.211319040225232,0.6464950995225657,0.6697727846396917,0.3451914154901018,0.45364453962751394,0.3442482049252903,0.3148859606418698,0.33802957259029703,0.3355770512186673,0.2501007724996494,0.301144329223115,0.3636588550603981,0.34563284507252523,0.39172792181934823,0.5807630153839107,0.45612711362552344,0.46480328009707667,0.47156593613935205,0.5182311298102832,0.498875543683563,0.5239791833750295,0.5608066331109243,0.6520463443013009,0.7838792805186103,0.657368914421399,0.5637250851370168,0.5053304173378927,0.4342881139306679,0.4269412670275434,0.4129610070577869,0.5073183234578803,0.440923246869744,0.5442098581866225,0.5309425738443501,0.45290765806923106,0.44785783680614505,0.4204129735763164,0.4194735521698524,0.40910016022429563,0.39582183997103926,0.5363532314324749,0.5265424583849019,0.4802311769035624,0.7591271071041041,1.1159120746286024,1.5616748381619354,1.734758133519263,1.008241131196901,2.2995148723657213,2.163556137220761,1.111102688400885,1.5098633882956185,0.8578431694928527,0.8863649174229615,0.8780498902123056,0.515879244792952,0.6174216007137789,0.6012323777754942,0.6652151876517076,1.0354328709980003,0.6747276109925235,0.6514881042624954,0.6071878611065852,0.7095351892293154,0.5986307880815612,0.5434381602642822,0.6959997543553126,0.5532596977181912,0.6525696083460055,0.6962017365089581,0.7152317566432195,0.9143643981512226,0.7753733615670266,0.8624359116061252,0.6299949753108588,1.0902152186335048,0.5663015111240141,0.5461302775519491,0.49830107279154,0.5093126428231737,0.4248943946729336,0.4550855508042959,0.7033382362795041,0.4074432539031766,0.4080500048030118,0.3932017544067139,0.4197442172478394,0.4751369586989051,0.4527728460159406,0.5942759713496278,0.5241529801971923,0.7483501108152396,0.6706177021967199,0.5700173355384175,0.5414878281121874,0.6627415541203482,0.7170342687579059,0.5415631880486266,0.4732771081795649,0.5166607768093631,0.4173529081639928,0.410122979381762,0.3303901474490497,0.3483530683266899,0.3519299259382913,0.3726906772314486,0.3908403191156457,0.4039311990005823,0.3854268639899415,0.5552922701944741,0.3213182291541832,0.29682475174806605,0.28183881276144757,0.3009479220076096,0.27012512202495387,0.3590120438508186,0.44321641720632815,0.9265605653937382,0.5899398930226004,0.47712205233178534,0.47315532991712433,0.43865838673342633,0.4789641542753189,0.2833406407236608,0.24777427462766397,0.2855484072325591,0.27328475256074786,0.30692640964000456,0.30384424505846647,0.43803121299929837,0.6284577056710304,0.5188397942108397,0.5434240060048405,0.5916143011165165,0.5320058435372258,0.5816903236804093,0.5404565226138585,0.5099754459335485,0.986600138889959,0.5631509160860932,1.3431450019434104,0.9878370961700939,0.5791866193543174,0.4686905879883559,0.39732031283310076,0.3751059489063364,0.3307009593480297,0.30923809094575605,0.25837837985071027,0.3238543026002999,0.3708360650035079,0.5075581807531054,0.6205516937658808,1.0633943747297319,1.0543074291511525,0.49438121053121653,0.3707738137013272,0.3285748125731988,0.3003330038919068,0.3142478839460215,0.3557537700635718,0.35201834911987945,0.37384112146853343,0.3739887092853967,0.4815759148035292,0.6117333360226036,0.5491518335119201,0.7148523449519544,0.728957137566184,0.7590413703220548,0.5956104781517154,0.5211277996278325,0.44859260345925506,0.386926180229482,0.3294443757399359,0.3448640086820982,0.417428392134261,0.5327427792230857,0.42165076285549974,0.3946200733030134,0.4008252285479395,0.3812994563083412,0.4761806076787207,0.560877355451264,0.6087600708486275,0.5986279557938302,0.5370566423581528,1.0732179116815497,1.5380096673335133,1.1445051126471986,1.5459535952268897,1.5569731546383927,1.1655360403677615,1.0402594979130448,0.8406183012042006,0.8652857857988278,0.9345647666087339,0.7556140446958758,0.6835222366046281,1.1109706181398344,0.7998022851324474,1.05424056867828,0.9494089351062881,0.7193538407172527,0.8754146724541123,1.092276555093076,0.9128958313487253,0.8170030304013272,1.1239513490797883,1.0987294646511239,0.8912401309554365,1.0259489535570374,1.3084024601278068,1.1047848799506472,1.0409602655872372,0.8698367444632947,1.035468673684049,0.7262952882828652,0.704440175460163,0.7533014557236973,0.7289896538305038,1.7418629679241149,1.0462160179429094,1.2911408909106965,0.9107947454472431,0.8706278658032683,1.0130960120501342,0.8821722764520928,0.670630718141117,0.6723671178888593,0.7848323957964889,0.801517738469778,0.7802624253703824,0.6611810688802537,1.00411226618188,0.9046675406461782,0.8222437981778814,0.9840261408985281,0.634046985752506,0.7661358173264154,0.8824821544127994,1.0308365082924278,1.2949744689634077,1.396922252132959,1.5829076396028463,1.2919484230089102,1.2687332623658338,1.5589103751450395,1.5249519089729993,1.3159689905134502,1.5432181315241285,1.715561198419923,1.4718505786898743,1.405684909853154,1.6145329640288484,1.6913353268345022,1.3567349349770081,1.3099622180204007,1.104063439530946,1.09863291295025,1.1197002333865098,0.9684704661630427,0.8292237058504934,0.8134067762586673,0.7627411603477118,0.6160253723008506,0.6505346123573327,0.5637923485543364,0.5728149352480871,0.7291368577583422,0.686975485933051,0.7086244008529,0.8005495573718402,0.9947614668004864,0.9582390742149621,0.9027170850592742,1.4047459843840633,1.5298456980282755,0.9739952944134529,0.8732206882451877,0.6741979605368801,0.6940989365031215,0.8997114404816545,0.8010944516266749,1.0068015913284556,0.9492738530327879,0.674383875063653,0.6893724821664894,0.558708931940692,0.6049355573724327,1.2144832402953418,0.47506667341405223,0.5674522969126845,1.456632242037856,0.5596072446258474,0.7278704228399975,0.9575544402901066,1.0010189826484415,1.405046339577434,1.2995564121018657,1.372068354840098,1.292834178633014,1.7752213402599892,2.4870428012706243],[1.4080714618991341,0.7174891963256939,0.6846746723695474,0.35348016869654525,0.49298998930508847,0.37667827875720816,0.3510912304005383,0.33030482278455175,0.20871406781977764,0.19992746560110222,0.23259250075022703,0.3188269287716417,0.29621207666647115,0.2823202323294223,0.44768240679065135,0.35088387286463946,0.3457327121081008,0.31314065514080003,0.37671652241993936,0.37948342190755024,0.3794389346126432,0.4273967619465655,0.5098053947255473,0.6943688128546078,0.5236456304151557,0.4441599754993889,0.39417396140806965,0.3231730152202308,0.31158775424977814,0.33222886763694304,0.3864290695779467,0.36688390900485296,0.45679220555739364,0.4230957952514231,0.3511647906816115,0.3317837297203504,0.3421166590121546,0.32812772863617445,0.3369476056350187,0.3306851047340744,0.49349517672063103,0.460868626556018,0.4074239013600543,0.667743291795036,1.0416020058577184,1.4908736652683212,1.551650502633731,0.8999569216458848,2.264400827742687,2.00512354884464,1.032217408381116,1.4216665641783595,0.8481558468172666,0.8200961830110088,0.8365531110461871,0.4422729090404031,0.5229423113108564,0.5025942737703848,0.6103216683765993,0.9433573029923731,0.5895947687409235,0.5599609134601381,0.49950616683796534,0.6166141707040546,0.4653250244645671,0.42378824690717337,0.5996515761594013,0.4253268227385729,0.5577147629977738,0.5301413612046343,0.6557416176980957,0.8541821503191488,0.6436319678829019,0.7200931489391902,0.49608835581729904,0.9647697627492022,0.43764770740940034,0.4199445997205351,0.3794442848957665,0.3863137236693588,0.3514371030641374,0.3881079453611578,0.7156088824152562,0.40069156324474764,0.37393971753956445,0.3480763309794878,0.3315122991085492,0.4116542140099256,0.32878865806438684,0.47988772685437886,0.4000061200536961,0.6465744853536538,0.5439301352840733,0.4474792234198263,0.4254037853052174,0.5491673620408652,0.6287277311179778,0.4593992083589842,0.42637012863865836,0.5013559886859741,0.3838766681529681,0.4431478055185739,0.3620428292011054,0.393003140287028,0.38016767318665046,0.39672022780139,0.44420391074188603,0.4275385117253695,0.43418151259806187,0.6072247644003356,0.3726210025702797,0.340899650123932,0.3480496002642369,0.34015338756021013,0.2976343018354252,0.30712762878748673,0.3821684166260058,0.7439218398105623,0.3938444189558278,0.40681503224426696,0.31269958652735164,0.28521583705436016,0.38293179100161145,0.20869576531064118,0.3096304964319122,0.32771786133006797,0.3925713669716376,0.360051469037826,0.37642626722512096,0.43344837594901175,0.619371937296051,0.49211689692426364,0.4822895861482532,0.6303391800088461,0.4889671354906813,0.5024849388407303,0.4917672866664478,0.6055709968512234,1.0257627726219756,0.48455829794160266,1.5236269261840911,0.8771493446919219,0.517490224173938,0.44136858754399433,0.32651068753718465,0.33171545750953507,0.3023898078668288,0.32404934825202103,0.3022031586493372,0.3589328910804614,0.39975341034735146,0.5225000371285177,0.6233759085627378,1.0502158765048293,1.049136686229808,0.49229643858906513,0.3742837480248498,0.36985314654755014,0.32481763895148785,0.3487778409510155,0.3650167965962536,0.33378225637598546,0.35634067030714117,0.34020234485874845,0.44165880877938457,0.5829279709658408,0.5062433762831798,0.6222805458041815,0.638286908164265,0.702901764485934,0.526085695594909,0.48742677038431004,0.41717132555346165,0.3655765688928418,0.3128487460781297,0.34283259794785864,0.38904174764852345,0.551053188134008,0.39787155598394314,0.4052994382705517,0.38302600045064833,0.38295397760437583,0.4487979252969907,0.4912973332756095,0.5533552264182042,0.536194689305384,0.4670045526046058,1.083435689201802,1.488164988104338,1.0259414482098632,1.4192504901254726,1.5036861708845253,0.9967544113956581,0.8862772090710626,0.7281933413056062,0.7288178812349665,0.8626287101426019,0.6892706572462853,0.6471335253821299,1.0459765216079377,0.8178027272004857,1.0837815307927394,0.9341757913054209,0.7216938872426749,0.9142241822991211,1.0899316034004947,0.8819266666815562,0.8243568135641711,1.1540438189283202,1.0480585027154308,0.8632386676396545,1.0206778102249723,1.263172509435325,1.042261498606756,0.9844245315970875,0.8287356968398947,1.0471714537733638,0.7108855086588912,0.7126778585406569,0.7800141703459744,0.7412387674911035,1.8888933841957578,1.1280594539366118,1.4173968258482261,1.0440216775258844,1.0364619139277969,1.1388619881503395,1.0226967301061363,0.7765062612341675,0.7492205296023624,0.8395675927097278,0.7724019785293935,0.7473221723047478,0.6364204423278143,1.0078294643362131,0.7558345636108281,0.7362695515779739,0.9097891759389226,0.6061715740285769,0.7796749564077521,0.93201812057125,1.1057712936664368,1.3811669873955592,1.530773386590487,1.691593283316355,1.3608271293031444,1.3706065664593472,1.6819319997676758,1.5979307704580081,1.38975900280942,1.6365035499812406,1.7909403576593736,1.5098872100157712,1.4755967503923115,1.6942064917991817,1.7172684805741993,1.4002922554701829,1.3832080514154146,1.1778709013849458,1.2012072871338562,1.215847669940994,1.101139915741527,0.9315326023166297,0.8649691970504197,0.8389444389315025,0.6803065695335082,0.6795029429576797,0.5913998361279599,0.5953125040743159,0.6765694090412742,0.6714257500634754,0.675195664421235,0.7462267463811785,0.9193533566709063,0.9033730720459628,0.9004761412321542,1.3294101839834918,1.524165503886168,0.9487607057516821,0.8923589586633459,0.6931962192558285,0.6973196852857286,0.978755918018435,0.8630326574809442,1.0198085634320513,1.014294662408221,0.6796964623089935,0.6777305751588295,0.5595436744219486,0.6134428942767935,1.2075015296619356,0.48939354495681975,0.6125713090736575,1.393106126710381,0.5900639846216228,0.7332764088674495,0.9421760232414365,0.9497643469680388,1.521292413492744,1.5135134056358417,1.5759352470969394,1.2788982180825388,2.06216958556799,2.8443890557088634],[1.6317860510511657,0.7736421026780279,0.6238535039261484,0.28954426809690187,0.39863328990343866,0.3299859709132368,0.2659542502091866,0.24835113084045807,0.19267786217142166,0.1218539206507174,0.20063682791804835,0.29616365580980203,0.19088125029804218,0.20093769821586138,0.3310676835367438,0.23627021786393781,0.3305284332762567,0.3196929937684086,0.37519010834058636,0.4025712130523108,0.40667998438437475,0.43201298660552867,0.5118984687088464,0.7019188841864054,0.523599095898708,0.4557889062769509,0.41880266669050054,0.36523815724127645,0.2952576046595178,0.30924616577292197,0.3085580329347906,0.29913044297911506,0.406741317581296,0.37023452725855044,0.2969554286701534,0.30372703356581365,0.31191954929600346,0.32768188770056256,0.33289472506633166,0.32759787660920714,0.5174111979053871,0.4684634442735991,0.4305083590311921,0.6316316177861498,1.0213003378817695,1.5018763314128267,1.4901477706640927,0.8648985300655438,2.2951131439258066,2.002015704010458,1.0149934573045174,1.420339919096275,0.8713881327727703,0.7861081792014554,0.8621294062858081,0.462600133453554,0.512651316745435,0.4914154256214595,0.6315227628455755,0.8815598042599129,0.585921994206352,0.58004210252745,0.5113881803342392,0.664695248959795,0.4769060916464184,0.4442296606138585,0.6436366012157948,0.45395484057122865,0.6019114202149665,0.5342932567159631,0.7387484392720989,0.9787840772788208,0.6854203959452136,0.7275453039698212,0.47119589732426453,0.9275119273350033,0.42104689700345405,0.3724199708528745,0.3466580577541668,0.38147882306515357,0.3672998901497015,0.39824613509003304,0.68229888676051,0.42148920674348617,0.34491493718786065,0.337945073354147,0.3333195602471127,0.4074130922341241,0.31415586472910545,0.4519027315930746,0.3621235266874332,0.5416851469912202,0.41475063670217005,0.3298924992144518,0.3167058717354665,0.4261983823952763,0.49888645047373503,0.3769740863505054,0.36418185161521804,0.5294947144854639,0.3567424099259219,0.45923540636211385,0.3133495384020168,0.3763537563230601,0.36556830301068843,0.3486965847452946,0.4527933543522982,0.35300075720047713,0.3788278561184987,0.5601382956295334,0.31025013561335646,0.25346153303110025,0.23772701081296435,0.30328984582910246,0.30682052075349725,0.3176963253496585,0.4394289619658574,0.7362421713959866,0.41703720870627237,0.5290144237580587,0.3649002528511143,0.3343765227365075,0.3726396114308756,0.2646373661234871,0.2572846148339999,0.28069888852228586,0.41599313608594674,0.2955785496630705,0.3124749322972432,0.3569566608204639,0.5889284625157903,0.45119327960867356,0.38500081328944025,0.6182037834973445,0.398869685860222,0.42115617730491234,0.48650447894090915,0.5677268075108673,1.0327919252727353,0.4241408947613471,1.5133746671717945,0.8351195100731319,0.5054500668356601,0.4383314798680894,0.3434811358097622,0.32938263243122373,0.2994129398064645,0.2988985740539132,0.2687696590024349,0.3069336456629367,0.36850762446447055,0.5264866656135148,0.6933515446413286,1.1766938586421751,1.0891871367260786,0.5205895488708702,0.3327458165313934,0.35235554623424375,0.2721892824968841,0.3147779035018158,0.3376990439180875,0.3158889499405142,0.33743075528690525,0.32351875501838234,0.4143809150280903,0.5551291540091963,0.46773695313128777,0.5756111705821092,0.5865001151315683,0.6556172009233766,0.48441709376524905,0.4393034462038802,0.38040529518619476,0.3356549156902406,0.29288074266902425,0.32313936636657453,0.365294320413401,0.5937460170307158,0.3704302646271633,0.41136607642694356,0.33978440312262786,0.34089323839887903,0.39430282543460193,0.4213205241979896,0.4944629217187943,0.5016819801999567,0.45372057238357544,1.0293811370648187,1.4103064929809475,0.9860745500284457,1.2902533519628552,1.342903212364934,0.8602151491288194,0.7650106187865657,0.6137357342322041,0.6377690689964659,0.8141469258760232,0.6489933502528407,0.580905790326857,1.0000791883714868,0.8306042147702122,1.1252187214467495,0.9295129837988462,0.7197378609022346,0.9762374459437813,1.133093073511292,0.8825479245646489,0.8493857986777539,1.2498658778254805,1.075423662215444,0.8823038420936713,1.087393319000534,1.3276232792440643,1.0523946338674646,1.0035309057010897,0.8209499557425485,1.133198426682724,0.6791977754663778,0.7324047947117891,0.8484270285518944,0.7818517042567928,2.00663676953137,1.1858552272259508,1.5873168007915037,1.1718534033006658,1.184501444011405,1.259358838353654,1.1427726715580064,0.8772590460445955,0.7927500048245865,0.9060019857502727,0.7482788816491615,0.7412104016058582,0.6187892967710819,0.9888044095288946,0.6540029069213429,0.6513906899773246,0.8160415772351653,0.5359113783562186,0.8064363659366559,0.977084835549433,1.176380065666744,1.4652129736364716,1.6563278058571216,1.7845416289869154,1.4444247237601857,1.5005747551292103,1.8057582853487646,1.7064261838221135,1.507238954508166,1.7972275985631083,1.9469136028658536,1.6302247503368374,1.626007211856791,1.8579631385146118,1.8426002349714434,1.5386896527857719,1.544311830084849,1.3140829240363439,1.3545062510624715,1.3526474680883076,1.2378104876866356,1.0641247202901376,0.9539629075281172,0.9461851141885771,0.7671519291984833,0.7232853820261839,0.5966739410850062,0.5973932173743544,0.6049307200238407,0.6027871664983,0.5771905139677163,0.6379037690813574,0.8279096869909837,0.8017728079699047,0.8494861567653876,1.2168126715010448,1.4525946982362121,0.914757556619173,0.8695337346690455,0.6548434016739805,0.6751500841198191,0.9956227695859236,0.8628208787666124,0.9877730027451458,0.9736487455834408,0.6415920564990374,0.6159337903631114,0.4946441762217809,0.571655899798841,1.1985847627828314,0.47777207756477064,0.6552198160425602,1.5878939290270806,0.534593657476949,0.7316076494288624,0.9911365823754975,0.8946409412393802,1.7855996997251,1.7820022486803686,1.6460059242452887,1.3577251178362597,2.0362648558210097,2.9734319141447645],[1.7319072279193959,0.8168340404910001,0.6334286028369478,0.3074405512903219,0.4106631146136318,0.327810594478196,0.2681920916326226,0.25145588333453334,0.20393050407965183,0.17812480438213493,0.1772547756339442,0.3005512932871119,0.19566155946528596,0.21407055647312723,0.37260111487719383,0.2825369608725672,0.40802134867765494,0.4233962956228637,0.48317607788230804,0.4819218170689897,0.5079202619923304,0.49796901160368195,0.6181155997992337,0.8328674965438082,0.5774253139198665,0.5454172260226741,0.5034806048550349,0.4532159464084636,0.3721011529787303,0.3592143612886076,0.3637448756149731,0.3462057696461817,0.4631585740696966,0.40529318606184234,0.3457787940105141,0.3591869780308035,0.37159690142246743,0.3980893045268799,0.4036500848862926,0.3940175039148088,0.5744487162210843,0.5503512212629917,0.5178805703947807,0.6793332429444017,1.0730147167741086,1.4452659015120657,1.4164167368141463,0.9131552849972377,2.215371861766084,1.8344031022885183,1.0487081653539623,1.3454271862010994,0.8948043158846951,0.8529334765833924,0.8866909111774866,0.5170277497406133,0.5615343982770283,0.5447684942693113,0.6751731102517453,0.8999170451119127,0.6322297999745901,0.6258969005730123,0.5662444118880496,0.7758156338056839,0.5498812795002698,0.5246696787902946,0.7406297708228914,0.5340745483077485,0.7068627619897151,0.5982740994539802,0.8579113773888267,1.1111583759823564,0.7363123919459178,0.7873539884220664,0.5183668620682653,0.982282567906745,0.47671087632640247,0.4180208321401734,0.3960074085227507,0.4419242556260685,0.4054665969392946,0.439793527153496,0.699575211201844,0.44410143795156154,0.3973442190344927,0.381252934167285,0.3948653459041006,0.44020347090029427,0.37392139005569086,0.4724115198341784,0.4195536393139149,0.5656580421047723,0.4379814086842086,0.3709196909252794,0.3551426787284151,0.45436578131508937,0.5057710836247993,0.4070427343197241,0.39485049515639686,0.6174944953278303,0.37001810677845925,0.44727197347469844,0.3302919784704451,0.35535633483791884,0.34876501660644393,0.3362089863404403,0.4474497879505411,0.3451008950922117,0.37838050989779093,0.5514288316148478,0.3165014341731693,0.2688470112077735,0.2561393318202738,0.33514590004617,0.3638756728344948,0.3798930762746101,0.5106449579886039,0.6452805739522525,0.5731646302824427,0.6506150246934299,0.5024446133063561,0.47130603842673907,0.48235338745537687,0.28898113002277054,0.27086413002104903,0.2999844801638367,0.44425232636632683,0.2909895767788556,0.3160397548475875,0.3524757393286791,0.5949915569098982,0.44696195605460837,0.3835641731864103,0.6429932428333816,0.4029418987485737,0.4124054516314541,0.4688734095714681,0.6164971459328066,1.000582081582401,0.47683537271191495,1.6162957973218113,0.8915669078568574,0.5817137919058856,0.5368245548080439,0.4229171541005602,0.39960464342037444,0.36750733709153616,0.3454774636795916,0.3024493118917838,0.2811964260866121,0.3381135282313531,0.5056276353415089,0.7017341844391713,1.319217411866698,1.183883506371182,0.5586317221774468,0.33737344637993494,0.34092665920561815,0.3038837632554929,0.31691334216577205,0.37228869306535833,0.37002947102263417,0.3799896441448663,0.37130996052659115,0.4520670282029324,0.5740588285710464,0.4904581409373817,0.5786072486859222,0.5707127763644799,0.6573641482950517,0.4933515918892457,0.464185698155349,0.41394033251594625,0.36923086882942835,0.3290391070558663,0.3450573888324477,0.38312949559182746,0.6342624564960797,0.4018548971764543,0.44015219083748974,0.36501408285622305,0.35146053737553323,0.39906639427773755,0.4231618611694315,0.49584744059267016,0.5074133853853909,0.48314821429578636,1.0919054585083547,1.4205686081089577,0.9596799297775462,1.2879204388745398,1.3673459995941186,0.828462824733235,0.7358728361875488,0.6028970931412113,0.612879021580026,0.8027544683847513,0.6316262152047948,0.5806883027709351,0.9598863887954218,0.8294356346766535,1.1254300127542476,0.9048297345608166,0.712595115626915,0.9844152452144067,1.1205214245935473,0.8693733253344269,0.8492595720740159,1.2684034308447723,1.060176446500599,0.8831484977137294,1.102668317836863,1.3293645739183941,1.0523382197031772,1.0188394044270643,0.8326750764467743,1.1718839462609314,0.6900171800648529,0.7473167675215066,0.8765908142266946,0.8019763431605773,2.082318388750079,1.2190957499919266,1.6536286767037196,1.2324543265818082,1.2568077710268013,1.3208668747352779,1.2121766984121691,0.9230815494608187,0.8191958020181376,0.9465743719219898,0.7729128683971256,0.7438930274690735,0.6307964702654514,1.01610620669955,0.6298085921420968,0.6421163659665255,0.8040757627873861,0.537841257707186,0.8051385798671207,0.9973636636339893,1.2138581632367889,1.5149612437344449,1.7287998790729382,1.844223642246896,1.475955177925487,1.5558096956358338,1.8818923458172705,1.7421107437356518,1.538580676399471,1.8623010317534536,2.003548383448722,1.6539818306748892,1.6837252625507233,1.933344291337987,1.88599586503667,1.5902458823128738,1.6145634077086057,1.3637129716218577,1.4154755751287047,1.4030820399914627,1.2970185536343477,1.1185154240523467,0.9782088010985628,0.9816499777627101,0.8001110330482908,0.7412586750777009,0.6098443954271293,0.6209682325435346,0.60123522978085,0.6088395601477607,0.5785357265977062,0.6474407551964841,0.8286053329542006,0.8035719920303224,0.8571563777798712,1.2210445696137708,1.4620740956480576,0.9303162060121953,0.8892022027611926,0.6715015096572262,0.6948139777785243,1.024173966801804,0.8844178945989922,1.0021406811403963,0.9832806712726191,0.6416521739240553,0.6181381184694881,0.5126308748091642,0.5839850254782286,1.1656881132392931,0.48314230234748723,0.6632169560551796,1.5564840012948622,0.5408826732754681,0.7368464783956469,0.996375835680305,0.8120513166192712,1.9285039965029134,2.06650919036515,1.8080992879644504,1.5496586548204383,2.252517152378423,3.593692557694887],[1.7127907601022594,0.8672196820485701,0.6996944754837792,0.43121509679372516,0.5339102564076553,0.4393512543528065,0.40204880062240306,0.3729702636766845,0.3366250769507748,0.3375602876108873,0.311852352540212,0.42475720500975206,0.3396872158380099,0.3410994914589794,0.5132371718729651,0.46030507375195,0.4903703901284151,0.5413767694722115,0.6146496317626,0.5985629978937514,0.6432530776684766,0.6367027066155776,0.7846103950234056,1.0135684821130806,0.7157237279674382,0.7050610836353037,0.6383314408375079,0.5550254769765466,0.49153698631339937,0.4798014625462712,0.5250443230936496,0.4974184638926199,0.62946089934436,0.5845292903860939,0.4980089493704425,0.49279440223219356,0.4853542447203752,0.5214382328266359,0.5281348876739079,0.5255930973054387,0.6441037327530276,0.6534712726044898,0.6273248174875249,0.8020791003821748,1.2024008374979123,1.5069182222382682,1.5605106623336964,1.0412298155581226,2.1646647242143633,1.815745147666444,1.1460925123956645,1.35646842856996,0.9340832990607493,0.9851486012824804,0.8931813787122653,0.6262864287122308,0.6721705341582472,0.638385063613338,0.7381743457779792,1.005678220017925,0.7419486241605189,0.6950350715096942,0.665059274621981,0.8569664021526622,0.6692757355066119,0.6351368658537208,0.8391834372266251,0.6458230428483743,0.832283291861841,0.6884609946249021,0.9063901323162715,1.1639061818428056,0.8082776910397211,0.9687519065262754,0.6473326562873657,1.1520885282788724,0.617486007137199,0.589263258718549,0.5429797439651033,0.567521600741261,0.5150845201207301,0.5500759012122979,0.7578559472796356,0.531444032767507,0.525986050766501,0.4927412149742256,0.51730906599219,0.5452584335189078,0.5109449530963548,0.5901451899017337,0.5826834375514328,0.7514759753062143,0.6568799047161216,0.6081513305256067,0.5581077053056077,0.6670244079104029,0.6514634825875185,0.556818026492135,0.5242311337872012,0.7182849198895613,0.4851114396096301,0.5170070815795749,0.45040266332703127,0.4474240935974375,0.44916485183956273,0.4542087689822948,0.4924719807214539,0.4598752372873533,0.47684655780824214,0.6068032618154932,0.41916440475430733,0.4188224409294685,0.4036324786835846,0.46503862530674966,0.4645897133522154,0.5226227699205789,0.6167154498959648,0.7009911893124939,0.7174394085091296,0.7172993289762383,0.6402058089758226,0.6232958771937932,0.6657460206452741,0.43134652769414744,0.4371335632507053,0.45818051813421784,0.499843872036832,0.4506233148190784,0.4507819273441578,0.5134235513839901,0.6891436760595043,0.5664732139511536,0.5615415991914573,0.7418317985990664,0.5808357961368135,0.6023734788456514,0.6020886020471091,0.7081818973702163,1.0476053089965722,0.6579882032274169,1.711616016050205,1.0904817831808145,0.71840612648819,0.7105357340685466,0.5680864995277439,0.5372512364632539,0.5098369284860581,0.46798498924278215,0.41603017098247425,0.39654307441434516,0.4225492464031382,0.5578519619110535,0.7385750253588257,1.3772104692438405,1.2185321946878924,0.6111346927086323,0.4341864085777613,0.43358937664686953,0.42075892636175083,0.435776316299174,0.4912179079661614,0.5063463563991437,0.5278439050482864,0.5043981386612837,0.6038496443521236,0.729314823554998,0.6551687414440928,0.7560454023530148,0.7354492219175806,0.79937380916808,0.6492400723484555,0.6204630021338847,0.5682766694083623,0.505709885092863,0.46833600637278877,0.45623684885069926,0.48655550122151797,0.6936345949308204,0.5284749498366268,0.5361860303003425,0.5109063956450581,0.48601568524539734,0.5381187751963841,0.5746667882370763,0.6487626981754945,0.6225518272295424,0.5891002928343444,1.1597065895463377,1.554880162954026,1.0713829816278762,1.442560815885883,1.5412144394664355,1.0240597251551764,0.9088859084421886,0.7710964428323102,0.771733915841288,0.8852861062408375,0.7486814324038215,0.6790076894689765,1.0491020436856817,0.8747889269727908,1.1468006691043693,0.9679388285379629,0.7917094847249381,1.0226613007209646,1.1797475904836674,0.9610044758762997,0.9270117510325631,1.3069276228919857,1.1520756106548975,0.9750224899318718,1.176952544796562,1.4192659517608759,1.162684443400459,1.1348548366807651,0.9436497467867291,1.218824509260177,0.8082374075922238,0.8199357825086471,0.9343344139771802,0.8403289099714822,1.9950726714566547,1.2170138621024098,1.640073984093226,1.2219377858520843,1.2229059844961334,1.2880021074318213,1.170447802966903,0.9027717586116497,0.8330273621684078,0.9437817317379633,0.8037470855054412,0.802540540358112,0.6950866297451387,1.0450082845644169,0.7867018933901772,0.759835535026085,0.9142805581776581,0.6401286048209823,0.8421673249290108,1.0218377764217483,1.211936351856565,1.492687437853437,1.6915967948358734,1.814859664287217,1.4582433595662105,1.5395237346152837,1.855640517883635,1.7316743977621263,1.5452805463284092,1.8576038668768626,2.010478917773035,1.6836359481051364,1.699642370831912,1.9522106645884525,1.933259687427498,1.6311923752533706,1.639804035042307,1.3894041358535718,1.4186256181575247,1.4025566535755407,1.2830150728085197,1.1252881318692753,1.0112158049968585,0.9748567024880285,0.8254903906809109,0.8047988337052708,0.67497945650641,0.6706507203187961,0.7415912298875463,0.7407875053678232,0.6909832594614337,0.7570997601271056,0.94014772444114,0.9115529078892525,0.9500950737885779,1.3458503863465103,1.5323366116690542,1.0512892439231183,0.9805821781519521,0.7770353539750551,0.7853360493773317,1.051289173310567,0.9381324485678976,1.0976165116111842,1.067109268425987,0.7377399320818385,0.7252178289889437,0.616110031416594,0.6810032551625923,1.2446839138973025,0.5581417382859754,0.7171407133165721,1.5786839971131328,0.6203423376298056,0.8062134981974003,1.0465676713076493,0.8979445190202484,1.9499914861134318,2.0283899232814964,1.7741255839527905,1.5637475029077723,2.1463082510786164,3.6461910249598293],[1.8244353468440744,0.8845263892344991,0.6153749101883447,0.3160524764943379,0.38377270280929743,0.3616664140011671,0.28368798845242776,0.28259286822554014,0.25449987225359133,0.20253235156341778,0.2109046418665701,0.32028248843738516,0.21179327727068545,0.23182511541779036,0.4020733642730903,0.30655878530683944,0.39801008778601304,0.4344713411708556,0.4871157807084144,0.49134912087179233,0.5250177609969877,0.5136524576090272,0.6514389842002346,0.859232668609667,0.6030351121037723,0.5717362145393449,0.5090264515171766,0.44083983854484043,0.3714859351776679,0.36156000901227514,0.39573089863498345,0.3623696078940762,0.49342272014085037,0.44057609290986643,0.3620344185237886,0.37636014803696477,0.362055932300032,0.3971999625254648,0.38769712448310545,0.3706578209270466,0.5506860094686221,0.5469770866275108,0.5166589466416242,0.6867725760520965,1.089700406270567,1.489205223280113,1.5148403412575007,0.9150192800012265,2.2542953282191465,1.9385444338761815,1.0452049256408673,1.3849875057012966,0.8827115464698398,0.8344620751841632,0.879197663955511,0.4875069704767265,0.5484148523953313,0.5267905537296499,0.6599429417930408,0.91098244603949,0.6360335501230351,0.6164958380701392,0.5731765181464774,0.7861500138316122,0.5623130780341457,0.518440709787639,0.7584941171541494,0.5606073488750809,0.7388037877101759,0.6218071619157932,0.852607102556572,1.1384159670530698,0.7679035732619917,0.8838465331564409,0.5435298359340298,1.0407539150893,0.5068575867645126,0.45603348526120363,0.4161772395263688,0.4404683538338384,0.4158187186372932,0.44263380174224815,0.6985223783912455,0.44967000041686683,0.3793718140375736,0.3815924620055215,0.3993367556586901,0.4516977369014534,0.38312137215112374,0.48476232473551156,0.4560761322946851,0.5944325185633781,0.4775389168653115,0.4229422109259005,0.39644927689365456,0.4893907224844103,0.5276566972580365,0.4125245151344407,0.40571847021076773,0.6498053266084882,0.3916816156500619,0.5228515049452774,0.3532408334669809,0.4090454386602869,0.3907580987877766,0.3778682898471404,0.5271112842275834,0.38030824520982104,0.40638570569212273,0.5778508475775006,0.3523433155674408,0.2809105060116926,0.26406718791017053,0.331186386595552,0.34869738670460776,0.37650045419285044,0.5035743829021242,0.7028170923113419,0.5737118872925454,0.6225941125187757,0.4966049266563545,0.46007112714808074,0.47759217695312245,0.31562255481883583,0.3040377877039656,0.31911374708062257,0.4299935524693625,0.3187211628298932,0.3239604643736631,0.36521952690395343,0.5847880679695002,0.47726524020561706,0.37801389600295116,0.6233382926631443,0.38502503506654684,0.408478233536141,0.5097108123571665,0.5424570167512701,1.0514456312607807,0.47536812838917486,1.5216204644708804,0.9426690287503324,0.585555901705113,0.5171590270809268,0.4098101279656227,0.37781876433890255,0.34742205760683903,0.3520921461249887,0.3091325971190753,0.3279900286467268,0.40852649725173334,0.5525184612514016,0.8068363694833097,1.4070170078710609,1.1762942501623472,0.5930456009846393,0.3699187908896819,0.3915572007765404,0.3184788374385946,0.34164844456567794,0.36355043242460916,0.36797551381040017,0.37184874636003706,0.36639694294869046,0.4498250842150419,0.5797488528272342,0.5029822832763846,0.623930520269608,0.6270102822220628,0.6965451030227515,0.5175763553224845,0.4703633158283779,0.420129045869118,0.3683717827011063,0.327126593122126,0.3540660151639085,0.3867553561646162,0.6357329185666107,0.40114636660269615,0.44706192750117696,0.3706517255597275,0.370423337041861,0.4218413723635895,0.4606708764509503,0.5239188385578561,0.5368825697148738,0.4942370421096169,1.0741628249035746,1.458094172000609,1.0107870399730805,1.3203276911300645,1.368426930579531,0.9068566153435957,0.7995376235054934,0.6213964568397969,0.6445621053044419,0.8181685933550986,0.6482933509745662,0.5770229854971152,1.0236685598850555,0.8704311855845577,1.1707022609194193,0.961215806430614,0.7644798485239743,1.050135063627634,1.2043932792513135,0.9397242427040275,0.9286043198399905,1.3697128892264432,1.1800136535802632,0.9851867848161914,1.2240853838721621,1.4722670417779076,1.1664819957715689,1.1455599403464265,0.9272723545595263,1.2698989627867567,0.761113554248701,0.8287278003795872,0.9812973249147439,0.884457092812143,2.0329609878915376,1.2388101236537765,1.7234301976647493,1.2628724328373766,1.2666608537740305,1.322790924199298,1.1983452517189024,0.9425805571756202,0.8365510526545761,0.9556835865262314,0.7715175878591236,0.7854334569218893,0.6543233916189605,0.9738832222893541,0.6761449894439806,0.6757189819450636,0.8230462502493675,0.5531292062370159,0.8414819296138932,1.0094274692848513,1.2174777908462404,1.5146530412822876,1.7435755807367055,1.8484902880557534,1.5069134932942183,1.6012573840169866,1.9050751805369857,1.7882749643091485,1.607851504373269,1.9356329160246413,2.089543909839972,1.7634713746692565,1.7829892683012767,2.035110954788277,2.0021248004816736,1.7097086893229996,1.7261341888753583,1.4687768876833949,1.4994261848146335,1.4717683859879251,1.3463747158702566,1.1939932715376858,1.065790786236409,1.0349429332307636,0.8718141444730453,0.8221085864108498,0.6636546240452212,0.6664387793722792,0.6853255238088061,0.6431028264447131,0.6097102955411535,0.6481395076006282,0.8909126797513618,0.8287733444720724,0.8864646138186879,1.237772684173525,1.4568434828454966,1.0018417123679288,0.9220203958143098,0.7138319954149374,0.7363136896643839,1.016428791463248,0.8845807336064517,1.0250565778823062,1.003037948187534,0.6953412639667845,0.6229622132420577,0.4618328296150869,0.5348275461523753,1.2236839005287767,0.5222094194213175,0.7444176142302494,1.7735288879333762,0.5679819672726559,0.8295220862290003,1.097988322810664,0.8658587707043316,2.0754667008065515,2.063918325710932,1.6458075552732978,1.5783288797777262,1.8766216437254453,3.372843469617508],[1.9005167017521545,0.8947775262047774,0.657109013444205,0.3153964448360761,0.3788313599281199,0.34338896420845266,0.24272545850599553,0.2672661244982892,0.21531411346073998,0.19035732127645041,0.21674862696590666,0.32279305188264995,0.22939244058483774,0.25062992078792284,0.4688202462593702,0.3628272453084213,0.4303387996794453,0.44620500271083074,0.4973393105635509,0.4918641022046652,0.5153321291979966,0.5035847064767075,0.6064013026914975,0.7726174041215822,0.5541677593147445,0.5232676333853439,0.47057520488544513,0.4428091303187157,0.3994151941140462,0.3934969323691965,0.42450986419478715,0.3870447889579506,0.47538355901656687,0.44746091289242956,0.3913648707029108,0.39811275524679446,0.4019366910206406,0.4151165208361095,0.3938229640167264,0.3808773922150834,0.5446252569299078,0.5473187026354939,0.5309085630289619,0.6374429175967856,1.051412182543381,1.479611045572208,1.3980224574413689,0.8603314711649062,2.2622712569182224,1.8910196095182132,1.013622121659894,1.376349539563942,0.9311518578390795,0.7832472541456692,0.9442875202287324,0.5556497993982564,0.5438757721850199,0.5610530043442321,0.7185068551994149,0.8511416552464453,0.6277820952501155,0.621059793140364,0.56428250382212,0.7793177695511025,0.5371316139791438,0.5029605589687592,0.7574065428815112,0.5814393088916233,0.7529494923060721,0.6579927808717186,0.9265130128536405,1.2233494824227396,0.8237494738841035,0.8200743015618672,0.5525562169577476,0.9560367586557175,0.5007532266645329,0.4575697568107752,0.42816968244626563,0.4618997178999389,0.45522568499521626,0.46537329854344406,0.6979346069700143,0.5114802361178526,0.3950992429705106,0.4127678635110354,0.4153621619861978,0.47863098858759384,0.40172526014592674,0.5021663647524633,0.4764769289872329,0.59066656646988,0.468374464767872,0.3931019636984268,0.4003769187327095,0.4481335933156778,0.5397152720938855,0.4032710296208307,0.3904760918492875,0.6206212433801318,0.3859435567355724,0.5175078554601767,0.36064709178845944,0.3991105385115086,0.39065215810901743,0.370821816944905,0.5639886593121044,0.3925708630568444,0.40118372407323943,0.5847292025898255,0.3469192302746669,0.27069920746353604,0.24245847416507355,0.3148760209809626,0.32142037053982725,0.3378234374348645,0.47967244812417903,0.65908607738108,0.5549936147643424,0.6563936910750648,0.47806469974682897,0.42810076148054904,0.41504877501911736,0.28252563070421516,0.27569060568035303,0.2727556116627305,0.4869952033149588,0.2911741626539213,0.3156703100006284,0.36052291014277743,0.5798993749999896,0.47223490148466124,0.3567306479556015,0.6620861168013836,0.35839003749007114,0.37556417845774015,0.5019525955643044,0.5802775523267066,1.0127921695205504,0.43147393127414824,1.5606051829731789,0.8254535807528641,0.5172345298629488,0.4697460373821909,0.3845690694812577,0.3798859116718924,0.33022503985674867,0.3442177128728271,0.3233267750074686,0.31089129209683586,0.3860012947789176,0.5296630982811451,0.8006567786047774,1.3914861678507942,1.1731103981957327,0.5871660634133009,0.363284581737211,0.38271224078098354,0.3459164335425427,0.3461065019596939,0.352905300969425,0.354365621247762,0.35186393227346946,0.35233743528337086,0.41166759949475484,0.5376329827974353,0.4481595815700598,0.5317473211130199,0.5536798061266917,0.635005679339802,0.4663162434545913,0.43479366625905846,0.377961218162966,0.3502248400499637,0.3337114073631903,0.36751103368580246,0.4064881267293447,0.6696271979026945,0.4174922079508376,0.4774870112450381,0.3557561035979783,0.3511977701637596,0.39315430108431443,0.41675963385136783,0.4841519982933229,0.4994832977899376,0.4642391553833294,1.059656864305065,1.3761530178386843,0.9348366901022732,1.231397036081482,1.258712802992738,0.7596275596036652,0.6678980485497671,0.5469098250802956,0.55982768907605,0.7666698366569574,0.6162007325547894,0.5324836099740384,0.9585002083995149,0.8890531439617744,1.1882656733783343,0.9315234652454983,0.7550055128289499,1.0778146362084338,1.1887865976691354,0.9021995537044043,0.9291207853079863,1.3783810022204075,1.1254479961913164,0.9601814762209245,1.2109964116137975,1.4157023871896657,1.1049953444985803,1.1079774321457778,0.9199885733534212,1.2900767614207806,0.7433441285099965,0.8413550510700755,1.011144058977642,0.9192485768218357,2.1941766347316993,1.3476764179349143,1.8216836769676765,1.3745778137966334,1.4039922424646485,1.448174092610685,1.3528681608567392,1.0672944556291792,0.9151141386603183,1.0471841397134796,0.8313358208233088,0.7865150097633057,0.675964828320792,1.04706977609923,0.5916088364014909,0.6224294432769376,0.7741285156982088,0.5376999646708612,0.8731969620372727,1.0765007445410548,1.2999691983146084,1.6000072176281097,1.8435555008408815,1.9312113848997632,1.5666141969195198,1.6743272277340497,1.9839623156547694,1.8349071393968928,1.6530645429043525,1.9898645192133546,2.122857867472718,1.7686652073988116,1.8209041556360224,2.0647225675386283,1.9989732253340051,1.720857381330444,1.7596590692979224,1.5073615648177752,1.5682113460952658,1.5436812278796572,1.4450169845977587,1.2787501866792912,1.1073759981113014,1.1085576421522676,0.9433161425673235,0.8604199298805043,0.6905369810148126,0.7256074925575834,0.6631648558499057,0.6211484146725249,0.5664190645702792,0.6022268049426143,0.8221159686047009,0.7579943702154921,0.8432250149741596,1.143984401422586,1.4062798487031793,0.9370282104209025,0.9042654342265217,0.704747297072453,0.751640605595245,1.058192053494464,0.8889171219647176,0.9728089835573831,0.9695046067209413,0.6550852238455247,0.578716551361299,0.45050155582437723,0.5313956465538262,1.1823762016408517,0.49663114961242416,0.725474408880427,1.648380584879697,0.5378302292485864,0.7817774875461764,1.034866689209377,0.7666324559815455,2.0456169874694443,2.205792122167408,1.7970913561704454,1.6177743119199661,2.1246064576337518,3.553984919296625],[2.0470675513473617,0.9925983967350812,0.7088114138217892,0.3623568447228396,0.4028010535876556,0.46741974063794706,0.3366851893504236,0.3923004378373455,0.32975395992505224,0.29244779966322115,0.3567905111254842,0.444719745567064,0.3742949278906487,0.4618386220891996,0.6654568287504322,0.5567517026570199,0.6334061809120037,0.7059620553757859,0.790730899302544,0.7427932976703486,0.8212317126765621,0.7870893178440529,0.9323562401677109,1.073962606079639,0.7869879591307025,0.7897320737704936,0.702158570093424,0.6429632181345544,0.6002606270013653,0.5420004901659482,0.6672709434095386,0.5445854501121543,0.6464379672416123,0.6353272719605746,0.5682449828322912,0.6016261392029131,0.5369575715186783,0.5886261843246238,0.5608038304886673,0.5371245256096824,0.7217977082327846,0.7566097153903563,0.7438085654647874,0.813851884704924,1.232520216440411,1.5195602459824682,1.4910222267418969,1.0056403277137393,2.1866383882670433,1.7671262838868615,1.1604925813805944,1.302773756644031,1.0448439949938413,0.9229799325045293,1.0447613883905498,0.7234696058845341,0.7313310812087919,0.7543531959952459,0.8777951875244608,0.9927045064226354,0.8363861077033866,0.8704096325449868,0.80479550686988,1.0868802600666174,0.8382724788156025,0.7670579032562121,1.0405029912660557,0.8911335889371891,1.0883823428557804,0.9659968849217647,1.2355664125744403,1.569279890024439,1.1161680597331567,1.160764535978918,0.8507009817459588,1.1994353206721615,0.7700232458892469,0.7161210523614072,0.6574048869620467,0.6588484592583612,0.6325642039778937,0.6130202590900194,0.7686321255048585,0.5951946895023007,0.486665731220892,0.5156488804098927,0.5785079359647296,0.6031443050167345,0.6187137521182203,0.6690253983277912,0.7227983424029596,0.8252024611220766,0.717695111739782,0.629313106096113,0.6261422377303977,0.6748233589191807,0.7381475775990526,0.5306622602191567,0.48136515639338695,0.7960485633548747,0.49301758947418406,0.6131931032865289,0.4596807901852772,0.47925107648777576,0.4627541243119999,0.4560330961559335,0.6668663598886613,0.4870974005587597,0.49062423052718734,0.6607102542414167,0.4472558399173615,0.3462197388712179,0.3177993438106452,0.3817273064689902,0.4311053791994549,0.4977074488866089,0.6560971816013784,0.7087300211887579,0.8724547487509068,0.8971784295983979,0.7759526304501316,0.6878315369398739,0.6210708743270184,0.39264976810522434,0.32791563931013795,0.31914980655208214,0.5338402105229668,0.3477968242632363,0.3759770248777307,0.424084680956135,0.6317255767333321,0.5370709158816532,0.4195947226641468,0.7147301247191117,0.42326978073194904,0.43610418126230854,0.5159447153863378,0.6253703625873691,1.0123546379266475,0.5526846276233996,1.714254197198663,1.0260762172961952,0.67366597706838,0.6805892632259314,0.5824868851999886,0.550386122378595,0.4782025633965065,0.4454385655913745,0.3885837306285926,0.36004772603966917,0.45599275327843247,0.6087768714669669,0.9563334761180364,1.650379226256744,1.301239870287865,0.7123514573319543,0.4560346488306238,0.46878803085999604,0.4344954655168214,0.4137311713760703,0.433254518661897,0.4823459873197454,0.48608453486690917,0.4799907387083329,0.5264946809966525,0.6265488051257442,0.5520140337555614,0.6270303032370401,0.5958699401429699,0.6730606628840868,0.5356830247709088,0.4970211348374272,0.4776464991716336,0.4507883840864946,0.44056920010074335,0.45585878532982715,0.49461086216125294,0.7341079080580271,0.5089337182483769,0.5625908408779798,0.45256703946435584,0.4350861409982344,0.4696664414457658,0.5049410656385779,0.5653797842901944,0.6003795779599249,0.5740420556988892,1.1705060181912255,1.456458543070105,1.0026899170966432,1.2798385671606924,1.322011162920845,0.8224217295281027,0.7371419095607558,0.6182013289204884,0.6075143545048577,0.7891396521237364,0.6639759957937745,0.5680581767868971,1.0041262629888117,0.9725911627394893,1.2713969503302573,0.996791207260865,0.8474789166729081,1.1992117655700636,1.2933016770352272,0.9944967007015035,1.0680017356098983,1.5386070769857232,1.271309317706133,1.1322528153319074,1.4091072743498494,1.5995742440412222,1.25610023733619,1.318883924049543,1.107193455036431,1.5032434408467918,0.9077137290960656,1.0081922635983491,1.2182673832835402,1.115154757857712,2.292137522993846,1.5202739194164245,2.014977283083094,1.5387305382326504,1.5782681598289061,1.5938260790663072,1.4968413659774802,1.2205554622650756,1.029912245573245,1.1532724846073257,0.92256237428961,0.8713340033429253,0.7518273552764916,1.0957277920655402,0.65099171604312,0.7035736989172222,0.803546117025659,0.6082832214742259,0.9461071493811279,1.1614128463240525,1.4040815363275017,1.7115299487583284,1.9977511856556196,2.053236438480952,1.6761769347308022,1.8390521086765252,2.1491752194985496,1.9577478989655885,1.7977403403038288,2.181423762404819,2.310209601443977,1.9373229127314742,2.0251576620632377,2.291980445010929,2.200956458973653,1.9392014280989527,1.9992237723105872,1.721596970090263,1.7737182730255743,1.712329034294145,1.6185323353264593,1.4821832793807275,1.2752037435684955,1.2495500108103583,1.1153580033261383,1.0333501774871185,0.8221297974038589,0.8671473613346442,0.8180442508985303,0.737605354382178,0.6727080514738231,0.6921425742324128,0.9468058177030358,0.8406239781946098,0.93297110433643,1.2040708874507886,1.452074372027228,1.0577404670199517,1.003695462858905,0.8355099297263567,0.8764131608572164,1.1170829975221055,0.9465677992293582,1.0288807045071213,1.0191913999732822,0.7367285290108825,0.6223831119690028,0.48769921367702523,0.5488570948854681,1.2466508302016521,0.6147136208858233,0.877462337507267,1.685500977263105,0.650508266837359,0.9212926126484638,1.1438547529403191,0.7933373576483435,2.17981988190972,2.431875676522386,1.845500282716785,1.8672509284140109,2.0696921721066484,4.109513903128225],[2.002593878033827,0.968655628070773,0.6617023728649836,0.3401653077999919,0.4006923048660746,0.42339454455429637,0.2971367347575064,0.31568726610530307,0.2626278552877839,0.2465940258934356,0.29041769256230165,0.40455671763625967,0.3082708850327535,0.3687841615817145,0.5590871807633714,0.4738284480664771,0.533623891558923,0.601497991513775,0.6866815168908137,0.6437867517687258,0.7193335779653897,0.697241305935688,0.8471871897415445,1.012016748631808,0.7179532163404665,0.7082485021886756,0.6228425445861466,0.5530334642484945,0.506873071958697,0.465970872391324,0.5869300673956094,0.492545221167663,0.6288455452696937,0.6105292597919172,0.5170707788618331,0.5258201170996797,0.4695933394872332,0.5013932617620137,0.47872622486486455,0.45875636932061387,0.6442950295220485,0.66510841156611,0.6500428268494471,0.7568159943021602,1.1981726435230193,1.507276292820648,1.5195231934984315,0.9892536111725562,2.1936537665211038,1.8230283945420802,1.1074676816035685,1.3137386683943255,0.9716881643735124,0.8790229120827757,0.9830480845051034,0.6452923789469303,0.6578421665439982,0.6834342141348303,0.8180481081416217,0.9662103600080175,0.7720198776658719,0.8148546143379926,0.7577113967625894,1.0116625127490633,0.7560668318002131,0.6916529548345413,0.9574842746509226,0.7861191027611897,0.9846791127094384,0.8404275510100659,1.0897453712628506,1.438962900671019,0.9971804572600808,1.0918437119679434,0.7643915913450173,1.188235463705206,0.7074703983895487,0.6665099638345922,0.5970577394987864,0.5951912454210228,0.5656228000015863,0.540611142872192,0.7369427444468879,0.5316609750754401,0.42902217783911517,0.4499650828742327,0.5034417329865093,0.5486714023360049,0.5460597589865908,0.6349879976120963,0.6651681918465611,0.7762456737329237,0.6693339484093633,0.6111004232643559,0.5791828060812165,0.6531627996366556,0.6676273102496466,0.5035700183356865,0.4498100108448912,0.7496427348268727,0.4524867870962749,0.5592724570885951,0.40075072276308865,0.4167970130312691,0.4016949170320084,0.3932166742806353,0.6045804594693491,0.42298698855949224,0.4454633751203575,0.6054987404246984,0.3798445750131917,0.2877122354406822,0.27468018615428963,0.3505328723224825,0.38442791975087076,0.44516945548700104,0.5872124529477051,0.6763464295918067,0.7648254219464629,0.7807385396096683,0.6661322657032728,0.5887201058939434,0.5798689443368122,0.3663302763555702,0.3294131679321579,0.33643033727898813,0.4586678928897429,0.3179896550770822,0.32474950011307996,0.37066882894844594,0.5889563229271331,0.490264534311847,0.37194553511596484,0.6557824670384986,0.3848280868530243,0.4106534626714005,0.5410803018942204,0.5813263564689589,1.0534247446243643,0.512964324569514,1.6134257164026369,1.0394971016108148,0.6609060459405409,0.618468441475949,0.5111847946372817,0.47887591659703793,0.4178256147881168,0.3962436766784037,0.32985592740683256,0.3149880883010126,0.40635375514117933,0.5451420092915695,0.8913068038091461,1.5645968669644101,1.2161963264481908,0.6519306450191492,0.4038464647046823,0.41628852160483787,0.3726573843607866,0.3579163288858353,0.37847605902257897,0.42083608294255304,0.4262434778124532,0.4192553441768272,0.48940939400692207,0.6183121671939058,0.5273652995628964,0.63953323996083,0.6129038603139386,0.688895632384531,0.5198720123277297,0.48172565837008663,0.4378761085099607,0.3893118699820021,0.3790602235215246,0.38888052104876547,0.4387790577573701,0.6963181585085796,0.4503480824609022,0.4943369664363272,0.38947789457975207,0.37751183887928247,0.41839791710312885,0.4627432756173668,0.5335202902725064,0.5565631711760162,0.5159160394591431,1.1206652675131907,1.4668800110793365,1.002463959300038,1.3108561741244176,1.3534796997959415,0.8534011756034099,0.7524940789390273,0.5971360684411896,0.6196656908013854,0.7909333462124488,0.6546987451064087,0.5773693414060596,1.0113787776234686,0.9340682972774426,1.2298534071097922,0.9789952331043354,0.8291590838648479,1.1611296810308152,1.2763498115652132,1.0018989746821998,1.0428222300078251,1.5110967852602084,1.267046315365657,1.1114966246015727,1.390205047332419,1.603960995227308,1.2523554465364735,1.3088400424101172,1.0791370777850506,1.4612609647729191,0.8947712913478707,0.9755407201871955,1.1752076464980805,1.061801141844918,2.1720236967224635,1.4245893580928042,1.9609656391458343,1.467599720608515,1.4741980141972872,1.4962047116093926,1.3778619145078432,1.1253599264741443,0.9656700216943395,1.0773362182185955,0.8540349854075497,0.8525271566476699,0.7214363188602613,1.0310148547132794,0.6706645765136509,0.7052931071581251,0.8129518629716124,0.5998579516874933,0.9073693161548577,1.092527053211896,1.3333907485037986,1.6292910769697884,1.9173297541087708,1.9789412900292336,1.6127379780658169,1.766563317244622,2.0715847462538255,1.9014911009944448,1.7506102677521806,2.12670717025022,2.266466263821816,1.9152232101031486,1.9854459832453726,2.25799818282167,2.1841248077362847,1.9180196719039848,1.9701225234730586,1.6868910557697436,1.7228868180478707,1.6572662178692898,1.5508528245377773,1.4200355396587916,1.2342693313116762,1.1977910339555085,1.056666714916686,0.9878290669448109,0.7807599905089967,0.805872363108512,0.8097320378378778,0.7342864689155577,0.6712970052719437,0.7012848262928804,0.9630889176354173,0.8662983292973333,0.9330607568755663,1.2130286323882271,1.445665801501804,1.0948850918045994,1.0072979200203394,0.8142131524092301,0.8349401489304018,1.088207657686034,0.943132005714015,1.0557177487528846,1.0312728852766384,0.7408134831259748,0.6188764678941883,0.46917534129300653,0.5320250943336059,1.2355314838142435,0.5810600384077017,0.8650796222742151,1.796437411093433,0.6231122599973294,0.9481446804443704,1.1894762555455736,0.8209241892995229,2.239476149091186,2.379534603294625,1.7427490593464057,1.8041754417036326,1.8752524389668572,3.853554820838791],[2.091408838097511,1.0014748833390843,0.6849092867630342,0.3470021338090889,0.3931406954128657,0.40952265475708527,0.29475878616355533,0.32688553779420143,0.2896513838302486,0.32236787933868777,0.3969283010652899,0.486384761271267,0.389175905619329,0.4107464140027779,0.5998176223228915,0.5202556698182635,0.5375107902812872,0.5905238525664682,0.6284806496482556,0.6244719219115323,0.6561063379361216,0.6279470154141534,0.7366644986494156,0.8847139447340006,0.6749874414081553,0.6387314964548034,0.5752046203347634,0.5349821364832689,0.5159752826593936,0.5098687084204165,0.6013833008028466,0.5298030281376622,0.626052345759771,0.6207777761435637,0.5439212546076104,0.5408809704213374,0.5076725796353525,0.5172934879007292,0.4786949800607937,0.463283352088981,0.6187656520759962,0.6004207120822499,0.6203892472072415,0.6589838850051053,1.0884331783361993,1.5248953391020958,1.4698353601156293,0.8815523149392189,2.2715557604226873,1.9370442150268272,1.0180985388972756,1.4041513315974994,0.9980964000257444,0.825562168177386,1.0139285022466193,0.6538685091078472,0.6233546767897676,0.675298851124186,0.8153307820831505,0.9429488857569731,0.7348360318000737,0.7687155463259739,0.7393523722830543,0.952504977192458,0.6917269369386836,0.6382528665617921,0.8915997958133737,0.7557369890270424,0.9150240397810824,0.8136659789779183,1.0401759651666356,1.3559998196301382,0.970117229378431,1.0201108190094625,0.7381960464232281,1.1019511741306605,0.6837085359873449,0.6566896400365069,0.6029707239624484,0.5991318919041699,0.5853336977314325,0.5765071746060186,0.7725100998554297,0.6148008987487115,0.4705743097822637,0.5014373675587873,0.5290175837167064,0.5751581405012094,0.5461435137615385,0.6519560826954613,0.6661029061003315,0.7515220723781307,0.6616829728353553,0.5981803293174288,0.5923115764186044,0.6508585740854228,0.7273253373871404,0.5640102382999389,0.5429837386769949,0.7278507188336224,0.5346387916990138,0.6604722825805549,0.5032526613229357,0.5356730868932146,0.5139534288663211,0.47487442401684116,0.6987017323790716,0.49731514634270174,0.5019384701042959,0.640234584502689,0.4442519293562525,0.3485375830222549,0.2951294051906621,0.36808404743767686,0.40234639570474107,0.40059817218325317,0.554350911091114,0.6908747168101931,0.6426684662690175,0.700135869163978,0.564452330168967,0.5192757941539734,0.5032210540732146,0.3788391897311084,0.36233039668765626,0.3666074030236056,0.46382369915348814,0.3413480815221802,0.36716356380873816,0.4250808072877346,0.5932239523301822,0.5502464382145897,0.4104844372769921,0.6731439661986885,0.40135814895250277,0.4114197839157312,0.5924096718238082,0.5769871128859355,1.1083159878137778,0.43463444372645565,1.4553800085056767,0.9088166471835999,0.6009861157817016,0.5046000036163143,0.45721390698086806,0.46147005509564437,0.40932006365347273,0.43678608853752615,0.3768180492434106,0.3878936547885754,0.48605628948589574,0.5945570993561864,0.9345030964844624,1.4811030714905338,1.0884732101328103,0.6953221678693781,0.5019685589142745,0.5113091468899312,0.4635181014536227,0.4280629932270579,0.4121443787429917,0.4339762439309986,0.40638087438599485,0.41338768914599033,0.4622110528881092,0.5832595363303033,0.498327452437555,0.6040626487752099,0.6267644573991744,0.6936323858872315,0.515585587636358,0.49188388432328933,0.4250474632972886,0.41402524238523886,0.4007891788450487,0.46361965739167316,0.5117350927932233,0.758409378382928,0.5051341626959751,0.5615758493407264,0.42039357878523015,0.4361131420026891,0.4679446461486011,0.47141778037842313,0.5133573183722197,0.5463258337387037,0.5244309834665267,1.0799921232268066,1.4330243272704095,1.0176981501119813,1.2422727410710654,1.2559585529460342,0.8230227779836207,0.7337926420146128,0.5887050504705704,0.625846578280909,0.7964176619492302,0.69061099893166,0.620553419774082,1.0237807025754966,0.9886035707050933,1.2734206666593175,1.0056254009494714,0.8659678773792074,1.2191543652837469,1.313217273049121,1.0067122751362052,1.082889329741488,1.5706146549368416,1.293117389666457,1.1410446156584817,1.4343515026979574,1.6379718218744395,1.267966284162133,1.3302209517213293,1.1069900546579863,1.4994262248749153,0.9211653417708384,1.0272125360911657,1.2418646385750551,1.1252795251608065,2.228676318183754,1.505519607078066,2.0545733701011426,1.5451606757513423,1.561806173213065,1.5781923795397172,1.4670260486306397,1.2301761457348535,1.0556557770446968,1.166960806805544,0.9372822982662627,0.9395685496932452,0.7994801221937737,1.0630679361162096,0.7093830706056118,0.7323404211989211,0.80950202129101,0.6521827232672543,0.97288082178806,1.1572272217347557,1.4008152597268386,1.6781518409218847,1.9606448519036512,2.0132076997733788,1.669219437459908,1.8277428417456385,2.1121117516686265,1.9448190530812626,1.8079677679227,2.18464471716379,2.318683331875673,1.975510725310443,2.0541999936259625,2.3195833319453607,2.2409195755258,1.9798680401334516,2.0372377060225446,1.757752001029349,1.7988848176829784,1.7323870280242961,1.6306963642866166,1.5015602054058865,1.303502806642745,1.2796287316483932,1.1456588560439327,1.0665082326456259,0.8517687025804647,0.8917120752149217,0.856994542303498,0.7562394612176526,0.6964426214363381,0.722160431914732,0.9761636727192948,0.8456127342732356,0.9176631321032395,1.1433558757521856,1.3951098101391082,1.1029988086229083,1.0231336752925344,0.8281052721008211,0.8545817020903718,1.1332691897105163,0.9710914233487897,1.056526753529557,1.0358898760063555,0.7589886554719414,0.6093333936458274,0.47796613110000374,0.5112866280591729,1.2229183879864338,0.581152828336674,0.8875330476352403,1.90611934813441,0.5977404092805637,0.943112728248865,1.213856692833251,0.7694261099859415,2.2738704362747884,2.394114552254787,1.6115068317286223,1.7326178604141744,1.6289954493900256,3.345835902136082],[2.2304037709009643,1.0668740922892341,0.7412008526578897,0.35844475753366073,0.4156814452133794,0.45607675772620504,0.3126438036674439,0.33614509246469315,0.304295871867308,0.34049675493510845,0.429427247310584,0.5300206442273995,0.4393844363234567,0.4645988316269273,0.692336333895094,0.5980035025443252,0.6018092955648646,0.6715449913221604,0.719114406353364,0.6954099030795301,0.7521829331121885,0.7184687397226556,0.8484534831162934,0.9755551320568964,0.710653163700577,0.7001575105035898,0.6148253952465426,0.5777660638627351,0.567649001609359,0.5526068337459276,0.6986215924928385,0.6004086459643966,0.7003387747433696,0.7080113493063479,0.6195481785550884,0.6163034397104394,0.5590419208267903,0.5607038782973558,0.5185558782162389,0.5017552843269201,0.6566000865792317,0.6711684165301203,0.6859643329907481,0.7098388138575822,1.1255647602692187,1.5104336479023457,1.4409703323900862,0.9022063642364003,2.2496550828251882,1.884767747893213,1.0544992885577316,1.3923447888905138,1.0521215053614936,0.8392151010053704,1.0709646666688575,0.733645464351022,0.6785809627413927,0.7425105211277571,0.8908738175017004,0.946648922748462,0.7978647077326676,0.8737612101639302,0.8432246022813982,1.0923806665090359,0.8004402372729982,0.7505705719859073,1.007366391122243,0.8739056986936811,1.0558434580378087,0.9420632110551823,1.1781777849791528,1.5510834343327642,1.1269467596020184,1.1574114016153538,0.8712131013926913,1.2220705036500106,0.8056265242955724,0.7762684440497373,0.6993760119145983,0.6809833630986212,0.6599428301554193,0.6265218788012519,0.7740291126559188,0.6613491588036959,0.49842575876592826,0.5224355807679221,0.5695700689829236,0.636849249427384,0.6358017406266212,0.7251172303152619,0.7799538800690431,0.8776743761335485,0.7868280925675882,0.7209036850934137,0.7071329209650944,0.7773969476607736,0.8566103269887924,0.6337718118162963,0.5820217321697363,0.7657741890652501,0.5729153535966613,0.6624145978051394,0.5266869494126205,0.5584068108324908,0.5377579377926712,0.4827621063018406,0.779617622909963,0.5520098392905401,0.5464560286131157,0.6645078296705856,0.47499481713826897,0.36394550072447446,0.3053286804050632,0.357723275774712,0.40509463695212566,0.41769042680513524,0.5855096649708736,0.6719634640264991,0.7541355909222914,0.7977156006905723,0.6630690114015546,0.5802566269789123,0.5220310200569624,0.3818436283263562,0.3379620413406476,0.3384327589852556,0.49950868226249306,0.36885831576186306,0.3969072170941198,0.46639463395696734,0.6248103721913647,0.6025247056364442,0.44975481680224055,0.728998885618369,0.41906474482514205,0.43418027029682904,0.6092323536216219,0.5785711253409028,1.0913288519609698,0.4487200876241838,1.5084274952877441,0.9294184303260874,0.6046346893049346,0.5343507061681303,0.4938593507102392,0.49706110735947046,0.42252602832859226,0.44530948553310945,0.39347916211065825,0.38476265158709233,0.47981655421722763,0.5656254814740753,0.9954177204176534,1.5480214967918302,1.0387130047110784,0.7093259700808843,0.5157412154976753,0.5237401608168355,0.4836137709430746,0.45268528830914395,0.41643481933938936,0.4599383600809466,0.4288479283355259,0.44988339925041443,0.48520008424609584,0.6062417364900438,0.52199236217349,0.6107076847804365,0.6356404221096854,0.7025584417889551,0.5360436911075647,0.5095118043415275,0.4404307023802287,0.4411190357872712,0.44528763914871217,0.48684318333330373,0.5263872428039233,0.7804385508188931,0.5306772720834311,0.5819996894658569,0.4573861793919213,0.4583423937983789,0.48145565402091295,0.48429963323871034,0.5349032663019139,0.5625915087046179,0.5460226935779771,1.081699724038758,1.3992172742194793,1.0035743907450856,1.2199174508104365,1.2214687178960046,0.7732196841435504,0.7023164419335184,0.593612200464753,0.647633369579901,0.8111458041389018,0.7430301303339806,0.6684285588615755,1.0437734484072978,1.0809031497593227,1.3361917545184556,1.0423680919736193,0.948129163589996,1.3285730534747437,1.375107162325764,1.0762008568451806,1.19742381877821,1.690020173725981,1.3616097574067285,1.2533501437914358,1.573391533587596,1.7305541485619316,1.3560001718800359,1.4786500311276911,1.2541720210036196,1.6750527879865678,1.064805947876482,1.177673423209309,1.4254749384349237,1.3152707209950532,2.3908064523713786,1.702631518545767,2.2822132305942646,1.741103799445951,1.7648883803586708,1.7500868891568888,1.65744462928366,1.4296452465593013,1.2134839843641039,1.3130826203405463,1.092537177718228,1.0718962775292789,0.9227145196872684,1.1465157256528102,0.7818022184447677,0.8086261232796483,0.8422975898204464,0.7396443205477956,1.0772342040235923,1.2673314729451965,1.5215946871882788,1.781019590042692,2.116768954403015,2.1126603337632632,1.764866707182017,1.973956350072015,2.2359662247723335,2.0193669768213334,1.918482536791018,2.329782640570855,2.439089489575064,2.077563070335738,2.2163771582100367,2.4968480241844575,2.3754667371190865,2.146537829082892,2.2441896822763683,1.9469557331307874,1.9982935115964013,1.900582208412771,1.8259220112741386,1.7132479118425525,1.461339896214174,1.4462269003771266,1.336858548280553,1.240565088758995,0.9960566386251619,1.0705168844785602,1.03052338034134,0.8823741496868429,0.8010937433784135,0.8459056767255427,1.0698009327924807,0.917007286877202,0.9798165776321635,1.1574353254301313,1.3929605148443813,1.2017004977974846,1.0915730896688032,0.9349350626183469,0.9467207706363614,1.183674755798686,1.0096087742884405,1.072145437482943,1.043587788408947,0.8399073563819628,0.6257599251898164,0.5161609088739768,0.5163834528428041,1.2243764340817005,0.5852923556321086,0.9144675393387229,1.8142528458499325,0.5826183540122163,0.9533105614689337,1.1625126409735203,0.6679588971061658,2.2130916753721506,2.4658375908602777,1.57306052270017,1.8729221830891611,1.6734326041258727,3.5199038164607885],[2.373548830954001,1.1696557367823617,0.8764398413995068,0.46086895346672413,0.5033615656472363,0.5255751514735689,0.3412950260922907,0.39690081863691995,0.35540124738188905,0.3853395981861655,0.5114680684107354,0.6608848601266339,0.5447448509293921,0.5197123071813634,0.8269588370499833,0.7470004144686118,0.666813381995784,0.7546465507193593,0.7577294172929352,0.7615880917235326,0.8069025287807983,0.7744461657349364,0.8695963112402041,0.9288405827655575,0.7264764740521822,0.7059027032755852,0.6328437225106639,0.6061034444569563,0.6499841423751639,0.6730777878781083,0.864506902278944,0.7936645486546412,0.915368858239746,0.9253602506423277,0.8148961831310305,0.7592316002027454,0.7023380375073551,0.6420921175958174,0.571714893781863,0.5715572447887256,0.6790489076767575,0.727727793179537,0.7738546179851045,0.7118110369834074,1.120992971376104,1.555096167821931,1.4203005458007152,0.860264486876536,2.2888019625969123,1.9492683936505655,1.072976284231774,1.4242579242322577,1.1811040093096477,0.8407539260322777,1.182006121261825,0.8575645339617628,0.7395576457356263,0.8414923691758234,1.0086731014627686,0.9923463143105805,0.8758104994484585,0.9841074230677672,0.976091322201554,1.1958700418819987,0.8800679496779804,0.8346210690037241,1.0902362177713305,0.972372831974068,1.0980904586206606,1.030544350657085,1.2314520680426246,1.612099815811441,1.225136939040031,1.2028408281237353,1.0007125142830617,1.2885812452447738,0.9427852984564389,0.9692931601630209,0.8804745486713927,0.8397876093432979,0.8214887708371497,0.7496983375985868,0.8893445710499952,0.7962827796410404,0.581193109710373,0.6228181903970479,0.6839669139583072,0.78796654545189,0.7849583419734526,0.9070929101437045,0.9675223913306786,1.0727612715220447,1.001923352779479,0.9583259795672242,0.916666750049384,1.0064931227818985,1.0753323441268063,0.8711181172662265,0.8089220333520604,0.9152751156424295,0.7838873239430276,0.8030203914764711,0.6906879096026113,0.6791052534327175,0.6431920908590549,0.5847727265395769,0.9216113658793198,0.6728867588056302,0.6582023571558039,0.7248633410029188,0.5688484404345021,0.4494106424143826,0.3719189885960155,0.3868721528273016,0.4252435385897419,0.40465265459011535,0.5827067442875737,0.6789790164397325,0.7216349178606988,0.8164343752604286,0.649774009301664,0.5547844035797993,0.4678100023110158,0.3666627462752727,0.34313011699839274,0.37128579071937495,0.5744673933254427,0.4425826128281321,0.4802962164144813,0.5436268859416129,0.7182514533525346,0.7381261636388474,0.5648349664792379,0.7814085298194517,0.48558356532332947,0.47083463665694403,0.6197475899516413,0.5870720921769148,1.1248027848502997,0.42367918115696973,1.420249336945682,0.8530515639347325,0.5698460530984488,0.501982302007912,0.49727781923411335,0.5193103009417098,0.44458945875377415,0.5013340509022,0.4667462866653619,0.46217015493987346,0.5622558369697055,0.5875199261256395,1.0164785898181663,1.3876430670200952,0.9128607808981878,0.7875000099309892,0.6564812268280128,0.6372186287459478,0.6031888718334264,0.541393876161123,0.4716390016277797,0.4987682392261553,0.44543868552997645,0.4861560544004146,0.49273299080721444,0.6032319466746195,0.5146121414561701,0.5799588565591406,0.6233779296926506,0.6762114678786505,0.5279296474171289,0.5259848020683673,0.45205409189153717,0.48886742140647377,0.523915660154394,0.5936871279782324,0.6265444425553418,0.8685148655311616,0.6209772548901618,0.6809076693690487,0.5268922763521546,0.5399146042623003,0.5579244432128769,0.5528663606021028,0.5830195524026902,0.6260931568282967,0.5947968684992417,1.0950761354546918,1.3927431743862975,1.0415509454307592,1.1983870447308902,1.1528486157469808,0.7819869301311511,0.7338643637831759,0.6543679805428855,0.7352608370164757,0.902474863616819,0.861283201078714,0.8035490154305175,1.0861043656727836,1.2110606435183253,1.407532572658765,1.0932859533846782,1.0773327090080647,1.4548447257925678,1.429458394428934,1.1714333120840368,1.3457148817975537,1.8003491715518254,1.4315352179447578,1.4004060969462937,1.7207102542557,1.802807168571066,1.4574960680060494,1.6678905657518799,1.4910631595638066,1.8905183041588223,1.3196060165617187,1.3926273858240419,1.6589291169696267,1.563332560062515,2.6258614481867206,1.9702192610086025,2.512597613763442,1.9707710215584955,1.998161165363889,1.9398666155411872,1.8772435652407522,1.6852289408409318,1.4235046098037647,1.506727123709523,1.320995481743312,1.28401733781525,1.1244677232865143,1.3237124297087026,1.0015763313175912,1.0383352474875942,0.9564910373660844,0.9306659030568006,1.2168569470444368,1.4007611638001585,1.652721917077942,1.8717705578658606,2.240599569449522,2.1809798309877495,1.8521865312092405,2.0955625691724373,2.3255575098270134,2.060544062010847,1.9977695674891427,2.4183183736926845,2.4878353953984136,2.1375939673819313,2.3408459255641936,2.6145203764292284,2.457724005059892,2.287803682434301,2.4193038391449457,2.1265681635208376,2.183428345764034,2.058856701833007,2.0241738976938137,1.9393686046417655,1.6436571017779118,1.6446546749238264,1.5820251991501117,1.4779117952731493,1.215126809151027,1.3303311818115338,1.3089314674720214,1.1241338368579046,1.0313755840792618,1.1080787936067673,1.3137995412678536,1.1334238305453561,1.192652266942459,1.3184845920234574,1.5308088124594224,1.4277839621167432,1.331648272686841,1.1675592460750546,1.1667551192389205,1.4156747943070291,1.2133879349222487,1.23991346834043,1.1898152820328327,1.0159727823607683,0.7150037060562945,0.6454972764941364,0.5688203323209979,1.200700411854848,0.6677201255311435,0.9726633296813412,1.76115108838994,0.6538960652333801,1.0075861996239714,1.1236599910134022,0.6549964433805922,2.0397132537756826,2.4630355578889165,1.4508098048608882,1.8736662684842937,1.8328925406020844,3.1294557231052953],[2.2582954431618893,1.120234246108575,0.8036240580511645,0.44374682187910236,0.521535996140593,0.47992256617226675,0.365892937469952,0.42714173199250816,0.38830603091039495,0.3970843723477646,0.4671578775379399,0.5982697828224975,0.49563610484155957,0.48889369024631596,0.7170914537041542,0.6351936667841869,0.6046407032925908,0.6717605319712521,0.701502784179743,0.6955757650818369,0.7395427427610175,0.7080416762194178,0.8377386476405049,0.9505585878648886,0.6861896516782349,0.6680336520743734,0.5872736863149601,0.552741406475065,0.5806420549630672,0.5995413316843319,0.7338427791453508,0.6769887557277607,0.7802561097813423,0.7786752717851996,0.6871558181408735,0.6521930116784425,0.6104270507440532,0.5725895617893927,0.5255500765065824,0.5240294743104374,0.625314949923738,0.6700158128168414,0.6821980936053557,0.7061606233592505,1.115091446033515,1.5655978024594555,1.4833208794133192,0.8716976109503151,2.309696599992644,1.9983421205996197,1.0408126511359388,1.4528042016164602,1.0822389753476385,0.812406039691286,1.1068283417285731,0.7474767790101347,0.6608273790746111,0.7468803412829912,0.8972204395582459,0.9370706835796067,0.8077698631075019,0.8798780068109079,0.8571962446072277,1.0860425109808425,0.800041413929298,0.744735571235576,1.0058571556123805,0.8751218998505461,1.036057652591419,0.9342049853475474,1.1606042233905713,1.5377264718547081,1.1205805526977375,1.160411009170764,0.8839004434626225,1.2462653476648642,0.8285832588087676,0.8311724736751946,0.7500488758875855,0.722881207504231,0.7112605908165,0.6733197421208124,0.8438216564929726,0.733941470772075,0.5389210006912569,0.564137028021255,0.5958747215123944,0.6971687978286873,0.6733678239554809,0.7768426157130021,0.8261065417180985,0.9252205895466229,0.8437611899485024,0.7907332223453412,0.761761873190952,0.8358959207541261,0.9047389182365201,0.7247389331798235,0.6925618988930502,0.8480091932062961,0.6980384828515802,0.7676250165230433,0.6385617558531292,0.6592673901363374,0.6242345022454392,0.564490141523518,0.871617259061469,0.6315374140785556,0.6330340157385211,0.7065214272992687,0.557829289843305,0.4411857006738678,0.3829121018106562,0.4016447960331497,0.4232289881687407,0.41773954015805986,0.5605535507100159,0.7284427728424371,0.7032326036819302,0.7561908545989326,0.6264736629424981,0.5473948416004952,0.5191328917931478,0.3986371762004705,0.3642378962082985,0.38354385772601074,0.5113937250865978,0.45178808488886235,0.46384706036127465,0.5377921710342479,0.6452728000352494,0.6610650910780888,0.5195908351755664,0.7517432285021075,0.4776612573959553,0.4901500662893874,0.6998762594424349,0.5198431629278966,1.0991821202434415,0.45846611285533845,1.3963414218417025,0.9122511826451382,0.5751617721947376,0.49978422864051625,0.472179552286894,0.49223831436911947,0.42809732755094876,0.45435452672771237,0.4570491327840128,0.47292422733419737,0.5701194543212821,0.597466599555539,0.9909862313131312,1.364383129125379,0.9248854293694141,0.7570900556922996,0.6114660824093018,0.6173004533523282,0.5643644321238687,0.5279703372901341,0.45666876797850275,0.4693180321586508,0.43110520742316394,0.4609970855972046,0.47862660964387643,0.6106031005727335,0.5121178441909396,0.5928717668056607,0.6360616141965647,0.6763850696853407,0.5374367144050266,0.523527091575167,0.44240589823173454,0.47040481209654506,0.5009614178020603,0.559621051158677,0.5983086469630076,0.8360973333302938,0.599214033083682,0.6495854668306849,0.5043097233436357,0.5067832934736475,0.5221021106521851,0.5200695489783609,0.5783113925909189,0.5979260386917004,0.5621756656004394,1.0764445790761648,1.3953839451002066,1.0210814799448644,1.2385172032662537,1.1803289168395226,0.8120577840395221,0.7609983035631446,0.6333227121772474,0.6774189665021852,0.8334639623439904,0.786146951114908,0.7152461768128386,1.024832306325471,1.076311997623737,1.2949056141644752,0.9963591261714069,0.940719804428928,1.3028980401230992,1.3098117441573252,1.0510677408395588,1.1768598996655626,1.6506200831479814,1.2910950925106306,1.2270327363834599,1.5446205872603458,1.6566299806807279,1.3322629311260836,1.4909494101216612,1.2891170512527752,1.7027722334104791,1.1515050026787133,1.2117048319563208,1.4661927225619962,1.3722328537236337,2.4250795651425205,1.7545734085553555,2.2993083972673247,1.7532456115447572,1.785467846055107,1.7609353961085978,1.665938543792228,1.4826206812823164,1.2282684358831228,1.3146214184042042,1.1154301047816693,1.1067665064240673,0.9581041088917962,1.1580165790272932,0.8902346160488063,0.9151635751606534,0.8861906229923536,0.7933365781523661,1.0938012745502819,1.2444046700786737,1.4986209346319779,1.730324831067367,2.099865388773649,2.0642694702841964,1.7362382096766744,1.9593403558863125,2.1999468617889613,1.9567556014903265,1.8648811375016492,2.2837564025777706,2.3686562659378305,2.0119443610967265,2.1967418134824834,2.4811589279995307,2.326179192572776,2.1355111387086145,2.270223327950374,1.962126653574218,2.0115289159660525,1.8934828020582037,1.8353579275444676,1.7440487766246988,1.4666274834635908,1.4591939823219917,1.380624110783785,1.281535745956009,1.0299601277512345,1.1249450636273062,1.107547767738115,0.9503906808682103,0.8898013399807574,0.9382584571976965,1.1944468875743675,1.0214941604590584,1.0781133129740088,1.240488815254089,1.4570792452594825,1.3540520406545609,1.2203945690725833,1.0084408386013985,0.9846228980685641,1.286337410326436,1.106641995540402,1.1770066856248222,1.0963083073581066,0.8916775193758484,0.6310634529157805,0.557107962325554,0.5399042160727218,1.1255076011298233,0.6581419897082499,0.9767152953263631,1.9137790773774168,0.6954351664120398,1.0450050686353411,1.2039056884748924,0.6440822370696137,2.0779624397753915,2.2879340116230713,1.4107271808971855,1.8984155391857485,1.7905659942103316,2.986925537357561],[2.2998010075701663,1.169783903297981,0.8856332457147676,0.4938962343294117,0.5903166007612235,0.5015224825793674,0.4009934313072076,0.4880541026903639,0.4251856420133166,0.43236800352498517,0.5295561208044135,0.7068141812638067,0.5837673937567606,0.5431621015043556,0.8345369286450766,0.7681712207801398,0.693000460478664,0.7677435097516854,0.7714412767457693,0.7851075539975465,0.8267408394082456,0.7971275259399045,0.9108110634477493,0.980945886793251,0.7451547207872046,0.7255093374797034,0.6507307485550031,0.6248251851062714,0.6752223197385915,0.7151621783978817,0.8745554729859086,0.8362212166463115,0.951767767192252,0.9478621049257067,0.8536492248700408,0.7911101779691007,0.7631071596183135,0.6871120163132459,0.6197434501842671,0.6295949880178279,0.68453065843185,0.7557099660451058,0.8038580497207488,0.7448781877336749,1.1550106533454956,1.6011006268608765,1.4871792559179828,0.8688360590479425,2.2934911764675956,1.9698174188639193,1.0713622636857691,1.4726941786763532,1.210809579129134,0.8787610759183997,1.2060880993802312,0.9005641676310627,0.7646202666215537,0.8662224519430455,1.0239083130233377,1.0125907200285407,0.9090391882778658,1.001029175884249,0.9950378722735023,1.2066060017651312,0.9033184636187344,0.8575867256978612,1.0980739547011664,0.985636187996249,1.1111540365495682,1.0267251877635883,1.226540284637555,1.6240818024106236,1.2143191511255507,1.2279612540114369,1.0010977175930416,1.3189808895109583,0.9646155667220839,0.9922330405507406,0.9110071122668142,0.8771173401263019,0.8745376651581612,0.8069541490539784,0.9495706062761905,0.8749091680803954,0.6674573382235988,0.6859415705987268,0.7283803525531957,0.8470047450609919,0.8196905506122738,0.9376340930740655,0.9826674423067345,1.0792525508300996,1.0051097297690987,0.9644971217656388,0.9168428400325711,0.991430703189854,1.0467370797560889,0.8930485677017928,0.8547416408299923,0.9823516556059219,0.8606973991634814,0.9019918388041351,0.7884275555009278,0.785558824004056,0.7327047428554273,0.687545942773567,0.979767455420932,0.7349561812181288,0.7346545163606221,0.7629012745449091,0.6332794182267418,0.514121429749596,0.4518081891097137,0.43531407262121435,0.47443073075454645,0.4381672266146847,0.6195389645342932,0.7216374298236653,0.7429954542497049,0.8279729626985312,0.6712911680199081,0.5895023158134598,0.5178486190818082,0.38987003186425995,0.36756743924606755,0.4022127790878875,0.5499923369465967,0.5167080970767428,0.5371485897454368,0.6251506405883104,0.7154108067242708,0.7527247916556847,0.6184622306288052,0.8189386242985962,0.5640468055748848,0.5649414484593156,0.7766941454096683,0.5543349881467485,1.0598897997137382,0.48217900790795654,1.432163548815315,0.9137506297880222,0.5757494391530431,0.5339737320443281,0.5338224825321773,0.5661915344224056,0.49026163394648303,0.5466049961947317,0.554514054793844,0.5555169150118779,0.6704341542168132,0.6863016230288754,1.0817555208961716,1.329505007425269,0.9375097268829903,0.8691152537484319,0.7484181562103087,0.7417363358209239,0.6903528940318746,0.6499527703809801,0.5448414015261497,0.566713785043323,0.4908078975986035,0.5371894259234774,0.5324011444101142,0.6277916198404796,0.5609426743980785,0.6125290574035802,0.6615298639073675,0.6998804393732432,0.5790398022837687,0.5525201985687552,0.522509579566825,0.5770243801629429,0.6147916955102788,0.6760043332720479,0.7087385885102842,0.9399158369813275,0.7004738979823644,0.7736074983198533,0.614211771312519,0.6284755346955693,0.636657482920404,0.6147926917968696,0.6673495126062492,0.6813416562680802,0.6326119515905313,1.1216771246697623,1.4161574953807556,1.0570985655724112,1.232709996314029,1.1467718088983592,0.8199553138197598,0.7837803921084363,0.6914342802083868,0.7549708061010745,0.8934274240911765,0.837971722623366,0.7761517128458741,1.0350558708721866,1.1391139411373985,1.3290094754330373,1.0131573128237747,0.9733355493895642,1.3501422786723964,1.2994445171549143,1.039845819545422,1.2038912096253254,1.6708897461364856,1.2493955498286484,1.2326278770981303,1.5595190329115711,1.6069553957311984,1.3245533963165592,1.5230008012552834,1.3475300861212698,1.7795068437163253,1.24636576371544,1.2741774675749091,1.5625806244237375,1.4931292414216886,2.601995978431349,1.918789416697685,2.424334597186557,1.8904893613830227,1.9487079377498067,1.9016297275243836,1.8373930307806892,1.6480317980633263,1.3428338282441634,1.431196875660443,1.2574073920107403,1.2035830819505844,1.062295135360545,1.2726507258734272,0.9782682279366525,1.0137725043601657,0.9201159996734396,0.8684971982989669,1.1743896657506947,1.355360178541529,1.5873210111856935,1.8232464685251673,2.223559228450798,2.1539951611981976,1.8200903690761192,2.068931607912032,2.293804248932544,2.0000567008714474,1.9146878674210839,2.3461684787557004,2.3944983151573553,2.013317488499489,2.258968215508528,2.5401095286386846,2.3262914050973276,2.171867457687564,2.359723864869645,2.0434560981419008,2.1176588173543576,1.9847982684022532,1.962998439272191,1.8708682999864668,1.5398767750792677,1.5571444200035154,1.5007758603938735,1.38173611169447,1.1151750813189405,1.251115314769225,1.2249936732980458,1.0378704090399975,0.98570162193871,1.0410772890211584,1.2888725183270586,1.0938477082479066,1.135567589113488,1.2870238201561592,1.4906050245960891,1.4516007632990215,1.3061221597835997,1.065180694706918,1.0252375967377974,1.3490498964490443,1.1497050331128722,1.2092998242411006,1.101479165110212,0.9209302457079446,0.6406831043069127,0.6124542371967492,0.5835468284734028,1.0687076531325128,0.745437783700935,1.0370030841821962,1.9079305947711627,0.7822913101328735,1.094223045591503,1.1949164871406273,0.6790833012982775,1.9973712780035129,2.2781344528462526,1.2911167491835984,1.8828619559632729,2.0744323503032,3.0188189339242792],[2.2389801042869695,1.2271226566626428,0.9433611366518071,0.6701182429676706,0.8106521519545001,0.6020138937831329,0.5942719056868894,0.675505607288689,0.6369908240692188,0.652114937272321,0.7441788943594797,0.8873214991285975,0.7719830285144136,0.7224145405385604,0.9585851173193898,0.9116815063682111,0.8493673455173781,0.9068064194340321,0.925091274488992,0.9262711719745349,0.9682411740256333,0.9352683044767985,1.0303304165811307,1.095406474320257,0.8950921117593218,0.8887618120372438,0.8148432705008063,0.7950597929291797,0.8334641035977163,0.8680529661898679,0.9949327025561282,0.9620255378540662,1.0619390017788573,1.057933350381838,0.9740105599400373,0.9167517903434801,0.8913898437603447,0.8350764005618755,0.7811191528155781,0.7842539246644807,0.826382712572228,0.8917967746565533,0.9383419695710181,0.8978546204539865,1.2640164840000765,1.6407669546900199,1.5666338440845138,0.9909592129488083,2.2732773974054337,1.9985280651148716,1.1475856749817026,1.446860853691361,1.3355227937770986,1.0065136927234701,1.299876714602309,0.9945583936755118,0.8940252887322431,0.9835321861619014,1.1183700316464322,1.1070080287642163,1.0193855684161957,1.11289001796598,1.1028269351653421,1.2978211219460556,1.0209301102377013,0.9734118548680214,1.2167309498382415,1.1045436847982484,1.2219351308083712,1.1322973852561622,1.3262205574145394,1.700512239476694,1.3128224130561774,1.3288494232720924,1.104699182262401,1.4115729622727102,1.0687307255607985,1.0974370082375957,1.030049487730092,0.9836347287813615,0.9896884614951527,0.9291146671773745,1.1025351423044016,0.990829810524103,0.8118718745582661,0.8203296348675976,0.8643513143329793,0.9631348487538895,0.9413095337338473,1.0394161668409032,1.086676692059038,1.1585609974806708,1.0863668611709694,1.0544218450411984,1.0294051461462415,1.0846951864644958,1.1511060984102406,1.0164857967924155,0.9975883792287076,1.1142966059990742,1.008298060747192,1.0600068189672913,0.9376961636311373,0.938333283845095,0.8837550967691686,0.8657101710508095,1.0547035132787173,0.8192406808535344,0.8335167092110612,0.8523521152951323,0.7456014569846615,0.6663232475370482,0.6391108846830221,0.6409700391364851,0.6891778676834117,0.6411316419151443,0.7928598711861704,0.8368322634593792,0.8994693641203084,0.9720192234358294,0.8459177329352268,0.7783446398308084,0.6911617954507896,0.5915321303803804,0.5843014589886547,0.5966638086958785,0.6758480227933479,0.68145531760099,0.6746349116908253,0.7469411848903326,0.8310639157149494,0.8678627172074077,0.7533720950920807,0.8652652496994987,0.7192367269631298,0.7410057411058119,0.9150630351566106,0.6754819828145981,1.0479602461793442,0.6646371544775604,1.5569191674438672,1.1311748720368238,0.7595919797757817,0.7364439897992991,0.7275531466095216,0.7458662678139718,0.697819950050922,0.7484342619964164,0.737411221928456,0.7461735790553679,0.8394022898618485,0.848592542355326,1.1601379333596813,1.3547978352586947,1.0357452870497903,1.002245863518903,0.916158322305591,0.9110617638956412,0.8625556879395901,0.8012966127200155,0.7244713547234096,0.7357433721504051,0.6749748697779523,0.7049923159363336,0.6967406710558689,0.7725364712636027,0.7157973339826369,0.7557953071413732,0.7676795903528141,0.7979020536968451,0.7109217739269692,0.6713945264980652,0.6909053315770278,0.7456572300214909,0.7768197375960499,0.8403242827231564,0.8554760309858946,1.0558208284124417,0.8459699131571174,0.905893718495123,0.7746505394801666,0.8048201566087525,0.8108711651060001,0.7882884510271807,0.8316786844000812,0.8415791196669502,0.7902039596143219,1.24526928635415,1.532541208792831,1.2079936043787614,1.34294225014217,1.221819114425242,0.9557275483212722,0.9475828356721989,0.836204338889369,0.8842739398848938,1.0284048637635295,0.8913720815242744,0.8330966424790076,1.0836276833642666,1.123842415081404,1.3161677207656586,1.0367823392048783,0.9517565667644386,1.2966605795515511,1.2611292011525472,1.0079851549738186,1.127163246347219,1.59751958776151,1.1756413713711613,1.131730553898883,1.4537686747172744,1.5090576454634534,1.2263829482442397,1.3900720060210159,1.2232276113250777,1.66349031060097,1.1839935220398803,1.1794914653057014,1.4781692612609005,1.4168461706798725,2.5140428554609344,1.8232537939769262,2.311681834290067,1.7951765900100005,1.8608092019164213,1.8388311186038624,1.7696371397459323,1.5703065024972764,1.2759611559563826,1.376988777450109,1.194886769463311,1.1389723223263968,1.0443605081180145,1.2603311629556895,0.9873059135040091,0.999403481901652,0.9640130185826842,0.8722468109855933,1.1612932216628142,1.3265996789629695,1.54438273851115,1.7807184301975776,2.1756774564274313,2.110054864774548,1.7915184706401428,2.0150041049851835,2.245327684248059,1.965323827022512,1.853503856594128,2.2770694785040426,2.326345927874238,1.9425662526109966,2.187543390312493,2.4719347831288587,2.2452401513803495,2.0860366468889167,2.2912115484111126,1.9620482031596447,2.0409030134724304,1.9123115821078085,1.8821830419638346,1.7932796701346148,1.464825453085247,1.4851665540094348,1.4213229165913934,1.3061283873634644,1.0591965441063467,1.1759008317226352,1.1625102197496069,0.9752557429984797,0.9513316787115522,1.001734629272882,1.2840383298410105,1.0815991190534844,1.1029406146323215,1.2824273268462294,1.456481476031151,1.4369287297289774,1.2734651100576326,1.010037046835602,0.9492947404644857,1.3102290384221007,1.1341901220926882,1.2249999288983595,1.0986500802922055,0.9276738948343478,0.7343318607310327,0.694386225700645,0.7344476421660228,1.0835687258719926,0.9129985761936452,1.1235956455686704,2.0736526538185505,1.0138593010672503,1.26868661837844,1.355314331066034,0.7931515696834832,2.005960607701711,2.1300578312614626,1.225075541791311,1.957788046587936,2.1817002787967246,2.9901917701201977],[2.2931991946052057,1.2711085882919497,1.028043183445054,0.6981782426725102,0.834817731090401,0.6843569273896832,0.6148970369744013,0.7385055912713343,0.6308477930457774,0.6201306871060787,0.6952162620961345,0.8913742109627688,0.7796436041164925,0.6782770667898386,0.9826157506995535,0.9436371310361303,0.8294682342281028,0.8958403868848638,0.865440381471379,0.9026689268023714,0.921022787997966,0.9094700395887498,0.9802716561652509,1.0389713628560564,0.8386107303976763,0.813370390992712,0.7858232241910078,0.7644010154468177,0.8426971485251249,0.9186351744857916,1.0449390727793697,1.057962697333249,1.1718786092082691,1.1569926838274411,1.0828916623128804,0.9872722067198255,0.9859250967798756,0.8806910547439255,0.8132432843691232,0.862246766980872,0.8608939126523155,0.8896245126915662,0.9633976875030579,0.8563361127874162,1.2412490979874404,1.7295195523257885,1.5847788290375773,0.9896592344312388,2.385633710085129,2.093432688612396,1.1964609398392494,1.6193316176419459,1.4006861130515085,1.0544691209002302,1.3863014687176498,1.1335425395687788,0.9544084960509254,1.0710731308983814,1.226747291090049,1.1436903038773554,1.047431182618867,1.143113210785968,1.1499172246451057,1.3001153616322871,1.025176612988291,0.9841793828429853,1.1685135153469293,1.0880010195663923,1.151677186561622,1.0882555954266386,1.2852997215694861,1.6641099865373064,1.2562087643820534,1.2585692456515745,1.1091803612638123,1.418842672787499,1.1116271922968632,1.1700181964171101,1.115078762406439,1.0839065043960172,1.1130376719067836,1.0539655154087801,1.1901951861694164,1.151722356008093,0.94546533024524,0.9380012431677783,0.9443833815471506,1.081697009563341,1.0168661475790213,1.1405635837797823,1.1480555860449058,1.2381666085950207,1.1692160720908604,1.1574344505934735,1.0974216384472273,1.152573935111552,1.1775309968120924,1.113298821001603,1.0912993790092267,1.2405415315903467,1.1386183136678325,1.1864754495684884,1.0669887216244103,1.0927808737477187,1.0437072496048034,1.0026936659583046,1.2768298628887345,1.036067246306319,1.0169807488493303,1.045673985790286,0.906174927654993,0.7919427473558176,0.6987617776957977,0.6480359564392527,0.651904520858681,0.5900126141210871,0.7359802209114451,0.7908472257225053,0.799769828846133,0.9012482694287779,0.7379305995427691,0.6733316897706249,0.6172656166842178,0.5296001763706569,0.5447266802018405,0.5856195928196414,0.7648735534531002,0.7786541868349405,0.802541858544603,0.8900456105194011,0.9630544424997778,1.033672179785421,0.9106863891122553,1.019989246862636,0.831547492546985,0.8141744417759463,0.976046411237888,0.7380568976541989,1.122152977300478,0.6509418729297355,1.4369463029162437,0.9891899135509132,0.7038897331853591,0.6759852272802664,0.7009132456784114,0.7514775123636211,0.6911767272362234,0.7721063779863222,0.8067975392923088,0.8140933156160219,0.9374717592932357,0.9455081104901067,1.2658743388829934,1.41693435952918,1.160041094194495,1.1185773170077038,1.0107051241611014,1.0315209819638564,0.9575075678990744,0.920903750075002,0.8067367954308616,0.8041631895279001,0.7046589975378463,0.7593143270780646,0.7271178783101304,0.7630434645124927,0.7496237399903315,0.7653259223351422,0.8370232879871043,0.8494442771284838,0.786008109071954,0.7401280532654108,0.7602479125316376,0.8371679402445236,0.8786225984052214,0.9735718866058097,0.9668471338384143,1.2160419636948387,0.9718477682005466,1.059586457217746,0.8964344546091576,0.9286265926881198,0.924962224978672,0.8999476365877934,0.9237762632158165,0.9258908041075669,0.8563861868098854,1.2956386544808578,1.49744323435556,1.2196264766509124,1.3387809181915,1.2397908492380394,1.014297762195029,1.0113542397844546,0.960075038996542,1.0305186995933575,1.126169335673038,1.0776235776846785,1.0294572450933213,1.221115117301465,1.3447428005515214,1.4960710900199048,1.1941239536482822,1.1628295551621635,1.507220205734854,1.4224427590645807,1.1823270432250341,1.338297470291615,1.768933216069086,1.3246073603658506,1.322593136561537,1.6232512191651347,1.6184196596535634,1.4041846937844364,1.5806143088521873,1.4491819012395906,1.8651246965129962,1.4212462981096134,1.4115285521264584,1.7077288413742286,1.6534276772976606,2.7564875966247904,2.092288836892137,2.5586016856064906,2.064062054011867,2.1433347767306326,2.0953454774998277,2.059698583321894,1.8664472053894234,1.5469444734502462,1.6446497501364694,1.5011888397835251,1.4040597922704328,1.3119323843241644,1.5129410554041214,1.2278403069765795,1.2426518398937105,1.1245366109269972,1.1190862429468915,1.397449094426239,1.5815107502187815,1.782259029954923,2.003358954484592,2.4134231603321297,2.3130774021982927,1.993127360388793,2.2350756543618626,2.435041939625106,2.125657635390545,2.026219850985158,2.441167015455136,2.456571343821471,2.0741047918831383,2.355573841320067,2.6124797038038654,2.3495365377104735,2.232736269703976,2.467557962517089,2.16049829715315,2.260328210400823,2.1297757829168558,2.1380021306328945,2.0454381191989923,1.6915562023437143,1.733939776989547,1.6930826898255371,1.5637604662196802,1.3133156657650176,1.46391084916094,1.4359548041088714,1.2264382694056304,1.2039724787190036,1.2700390635965082,1.4876011726331746,1.2827363473757774,1.2834734856338164,1.4326719099346026,1.5652492794371595,1.6075607576412063,1.4419275280741957,1.204325822139933,1.1410413792244045,1.4388646343954212,1.2622897163867353,1.317041809523726,1.1896874589446176,1.1043101847607613,0.8544922416077523,0.8637630496109225,0.8314959192327726,1.1915330394751997,1.012451918887157,1.2256329221030087,1.986197466191372,1.0610108581926667,1.3012758489090688,1.3534434708734657,0.9296022901440427,1.8953443820396616,2.100824150553638,1.3220330402471905,1.9301048747433818,2.28740232701181,2.925461280420401],[2.3277648421632513,1.339887228983698,1.1172573964579773,0.752434166102531,0.9151201468286643,0.7189626185187799,0.6780181422731884,0.8471895522125731,0.7315824053003349,0.7162401499981308,0.8041662921413562,1.0302927673148865,0.907567919453117,0.7645486637784575,1.073944933157481,1.0849424074060479,0.9212209043770717,0.9864897130989513,0.9138934555553214,0.9855553898210991,0.9823356829897182,0.9966942838551915,1.0261097048751844,1.0477559310206328,0.9238209395382231,0.8670080745017958,0.8513554981072625,0.8488279633176998,0.9443437386105923,1.0461340485119972,1.1770294567565394,1.2380255984037452,1.36813063229266,1.353084099356337,1.259043865956801,1.1271386011092592,1.1571352456045094,0.9991965256826623,0.9228801249878951,0.9846432178506841,0.9427887887994288,0.981242218000133,1.083503427319351,0.9474721219232023,1.2872764986906151,1.7877659895959168,1.6463414559531706,1.0414846994936051,2.3752875974688687,2.1415944603048422,1.2721966064277455,1.6958887930017612,1.5423066465032724,1.179156711336228,1.5209297299877247,1.2876553254052125,1.0509981348360884,1.190117567706882,1.3428423464699046,1.235167313233919,1.1586783070512532,1.2645701329883279,1.2615036504889205,1.3534473981502575,1.12387398444984,1.0984668319175697,1.233618362294365,1.1647999477563902,1.2017427927690683,1.1451149920813666,1.3131205337978207,1.6209798900315828,1.31111572432097,1.2838257715929882,1.2005322804130438,1.5138965919439797,1.2322025867495723,1.3275347745402784,1.2757250538581015,1.2305594388494547,1.264742194556789,1.1954839687421075,1.321500667610168,1.316963450938174,1.0799267403416455,1.0651048981165843,1.077549504094471,1.2364104501913622,1.1614169687506846,1.3275875959093189,1.3015392039030567,1.3761508438264713,1.3197776388503828,1.3243746700017989,1.2439471191498734,1.282142616865254,1.2945060267856405,1.2911295113814512,1.2678183425681362,1.4542013596994303,1.3411335551463652,1.3654208646378914,1.2507208111808812,1.257894920619984,1.1865523155274778,1.1276797462363095,1.3915637073662417,1.1259792642185877,1.0970348377943888,1.133137467051841,0.9869153124834614,0.8875541032890973,0.7912725692544615,0.726332043265767,0.7294301672265825,0.6341645302833019,0.8071517110729278,0.8188732242792176,0.7713139208972305,0.9367428473286482,0.7521051264327488,0.6982493300386136,0.6004757299314699,0.5563811805120807,0.5795045632180509,0.6536132129260633,0.8296379328199427,0.8726504715669564,0.8901078398074345,0.9865703114802015,1.0201377120786317,1.1086592509098356,1.0038298554319427,1.1240332397152566,0.918657566529115,0.8959633103182657,1.0691666696185675,0.7914060351155954,1.0817393077642703,0.6988836373036598,1.4343935879119771,0.9850869206624624,0.705034434887311,0.7128046039823389,0.771767354292707,0.8417222628447713,0.769114228110823,0.8816906760264902,0.9164272179019337,0.9292972155797364,1.0630749351696007,1.0799213521512774,1.3811313551709612,1.5037971215971817,1.360608869345721,1.3151819980647255,1.1793163343612096,1.1867096077277535,1.1094729659314964,1.0449266893257527,0.9000595394883774,0.9100529602811412,0.7584575677546849,0.847294815983431,0.7874923060196,0.7934542661478156,0.8106388318614085,0.8139965254194454,0.880915063264004,0.8780992384548701,0.8470621915633121,0.7803150078580052,0.8409581721639589,0.9331554916192798,1.009202223495054,1.1203803584489465,1.1109514407829755,1.3431658797824442,1.1214580377851497,1.211655815571497,1.0157386184444588,1.0376194399740724,1.029554103538932,0.9944911918415704,1.0053405432342573,1.0177761311268596,0.9503926022019552,1.3178464897435367,1.4986846662822415,1.3343398760297311,1.3486013206929,1.2434197591474563,1.0749076935856845,1.0796885429292704,1.040182213629777,1.0961662684454474,1.178455001447178,1.1531004368539421,1.1057612264220218,1.253232950351495,1.3863076060785664,1.5210479273503967,1.2244980934204002,1.2051006720864357,1.5332360632194906,1.4278054771452364,1.2058953497371043,1.3708806280298262,1.7678872911278152,1.3260284440716126,1.3558100249252956,1.6442134056235265,1.6059939619123587,1.4395691764864016,1.6395461421964446,1.5235690595300868,1.9274602290360299,1.510853113005268,1.476930907316138,1.7674252884276809,1.7157890306060568,2.8291313472454602,2.154965827057608,2.578687242387154,2.097083680987564,2.1707403379847707,2.1238449099518735,2.0922512470164416,1.9149106802233853,1.59658308254447,1.6922509246798507,1.5689978619688603,1.4659680600798817,1.3758618284833937,1.5532393709680365,1.312326556720187,1.3385053098732143,1.2000379087650421,1.1887637482397684,1.4482618292342406,1.6181314245662257,1.8121277680145824,2.016346680127184,2.406877958016163,2.311412245932741,2.017218857114756,2.243076341535435,2.440365891099459,2.124884761830642,2.019711838948931,2.418385166629886,2.425142415852523,2.0515327775387098,2.3420687450688145,2.588679313138104,2.315517098213477,2.2236611213571083,2.467887036157448,2.1731408452718948,2.266884310844561,2.1328291342928036,2.156737268184234,2.0750352535279015,1.7227907770058346,1.7682458468489386,1.7441991277769,1.618115898224881,1.372482467347995,1.5326156764883467,1.5195008494556417,1.3106377351496084,1.288846416391757,1.3648263472840243,1.5856688017360745,1.364130944986099,1.356318676550284,1.5055739185010124,1.6295606241268001,1.6994612402860803,1.528490022480059,1.273105195705654,1.203612457298048,1.5063963621215748,1.319034066006504,1.3736853337558328,1.230492891310341,1.1621997873566843,0.900581455763151,0.92586202398566,0.8999648286956847,1.1866620050986556,1.121747090617029,1.3260170477085425,2.071332589520162,1.1826609421528214,1.3946161646406992,1.4462015399816806,1.0166864421784474,1.7714993969732356,1.9340834565810316,1.3328398036638776,1.9123865309182941,2.315013143329523,2.739556873904977],[2.2509440937379117,1.2454698159024693,1.0187644164403997,0.6944856867205971,0.8290090991281465,0.6278350301221368,0.5807175364616801,0.6730057056447536,0.5890094830339713,0.5606223542449507,0.6285721351635207,0.8203481654449095,0.6937715032013169,0.5981926520424196,0.8541287280023886,0.8307836713461528,0.7395801112848178,0.7859278173725136,0.7644652940318167,0.7889700894303203,0.7975111505098426,0.8009868492874294,0.8390468369408628,0.9053979147726672,0.7811696090816986,0.7279114174801092,0.6837560332575939,0.6757815028383658,0.7184449413382074,0.7883899410152047,0.912871856145241,0.929758780269975,1.0338909127010727,1.0182431876618998,0.93345614538577,0.8438561547872144,0.8508325153082732,0.7442289339602378,0.6946167223264029,0.7175103680259526,0.7286046978403936,0.7814754889168091,0.8448610090708292,0.7791220870957132,1.1765030007681223,1.6681237260037776,1.5675317017378534,0.8908443597374068,2.304231991185437,2.0942642660188855,1.0758672345396318,1.519056899307799,1.2995269891862724,0.926880641105653,1.2679203322365704,0.9592382681584869,0.8082049091301942,0.9159349695706663,1.0747030576705452,1.0366299759702993,0.9096595460194816,1.0081600491228604,1.0006269463160178,1.179812861127048,0.8857761787601536,0.8622055909573402,1.0667903465093997,0.9620686688028944,1.068242361794756,0.9900043890241947,1.1733307101495665,1.5042646880830912,1.158248417410749,1.1657410300441886,0.9785594162406323,1.2709804141805123,0.9593209800636914,1.013929410314797,0.9533490382254394,0.9169823425899065,0.9467208820824731,0.8940107141838709,1.0565946885136916,1.0056855047434141,0.7868477390533848,0.7836223253476877,0.7889410379404992,0.9291403982536466,0.8639565711618007,0.9911228348847256,1.0061409036502595,1.091448375177709,1.0152522464554208,0.9995439940427956,0.9589917482829853,1.0086278808818792,1.078687169809443,0.9801313961173922,0.9704878547358203,1.1276042937342003,1.0045728766796074,1.067890692913757,0.9481701173003358,0.9642592499911491,0.900714113206991,0.8723337555790944,1.1210355605907811,0.8722536538019753,0.8801903177893762,0.8999716893751931,0.7839831063668175,0.6905098275142617,0.6330368464104775,0.5917181313611153,0.6011944137175629,0.5306711334954811,0.687860169633051,0.8084422333932407,0.6982968550281091,0.812995068803278,0.6636915644799414,0.6153657692503239,0.5707155249650039,0.4872487508897092,0.50863684711929,0.5681926566941633,0.6990916240145355,0.7112826648833845,0.7098084842973926,0.7731785268606024,0.8591131040409205,0.8960389623675966,0.7861124126837729,0.9013723848423653,0.734526006948876,0.7310710223523533,0.9492780907852955,0.6720671678052652,1.072656194777936,0.5889239602746603,1.3667070547966091,0.989723220524125,0.6552077840800524,0.6222744889642219,0.6342213654369867,0.6561266644777008,0.6058936223038999,0.6835329252462068,0.7041075031632154,0.7244572757583917,0.8429573004129813,0.8500509213110214,1.1627216636829112,1.2798350906376823,1.0517789419453243,1.0106395920167974,0.9065029449278892,0.911867712431779,0.8381975098875207,0.8034267910468684,0.6929628668788231,0.6759944218052637,0.5921369956201519,0.6412262269334323,0.619016995723436,0.6975053526290059,0.6357623147274251,0.6733509542211205,0.732520976162354,0.7471685526503287,0.678721107090348,0.6483605572961076,0.6348357333847475,0.7102666660840089,0.7531090597180129,0.8243013968579748,0.8271671446632568,1.04824060996191,0.8234267380962592,0.8942595065829719,0.7430369413897521,0.7919934265287768,0.7956881232333158,0.7763185170666015,0.8217952616919568,0.8184210140745697,0.7452624483075483,1.1917554565434756,1.4980554969373332,1.2038489423883418,1.2681621891538777,1.1718348581166933,0.9553544167234459,0.9383885513916318,0.8465437636644942,0.9270120677350037,1.0523381629685198,0.9562190962633593,0.9005512246616708,1.114139720669799,1.1732246665478854,1.3341023969821497,1.0677195241599715,1.0209437730809388,1.3362198734586486,1.2859166194128426,1.076704364768018,1.1951724512204807,1.6179753939597297,1.2112936687311584,1.2076122211228757,1.4983375613399907,1.528406990875631,1.294695979693902,1.4836431723229406,1.3473707115229003,1.7407845405374873,1.2996508338840034,1.2731105922738108,1.5393770412159553,1.4677980472653551,2.540452958751716,1.8845081916600577,2.344809957559067,1.826768592882107,1.8758269721462353,1.8518215877178634,1.7846240930912636,1.6181712447226102,1.3267719585620525,1.4142990401269855,1.268963710191929,1.2221802688738477,1.1182701657050438,1.307713334278498,1.0887930733433384,1.1097314384669255,1.0305512151491039,0.9702688695192437,1.2298662775500346,1.3577223390098538,1.5658116792670471,1.7707022047751024,2.1560030776133208,2.08349466913362,1.7987413547217153,2.0017454229893623,2.209505812430365,1.9498086675857593,1.8438027621985509,2.2408871282325515,2.2861845207571765,1.9314091988766493,2.1707643733458135,2.434604044721079,2.2271522531338754,2.0849981248916114,2.2768286860583093,1.9778753264537299,2.040360031669997,1.9180502648644304,1.895483482286549,1.81231985201892,1.5065183328398228,1.5269748458538952,1.4808869434882717,1.378140975729347,1.1397200384045896,1.266062339885312,1.256542349496931,1.091499518091928,1.0683691661263108,1.1171030619841578,1.393965847390668,1.1939780012713124,1.2182489387201185,1.378090379296914,1.5457303929793218,1.5499066537686705,1.3923361374094303,1.1175701461799195,1.0632802605276908,1.4112290280089905,1.232865318349081,1.3009314605060431,1.1647834473015042,1.021739599325582,0.7834828530487721,0.7600520882417007,0.7677369522606579,1.1015101390984348,0.9663265293427513,1.1881774389656408,2.063272326617495,1.0756318546893076,1.3031801287605544,1.392384712757437,0.8552920326914255,1.7986642160688586,1.8797658934702854,1.2763748501010097,1.9292830189978436,2.126740305369306,2.5703092383454003],[2.300117099700748,1.168880233745454,0.9166081455649787,0.5420291378609239,0.6859189895481295,0.5361443332201583,0.49114121367138314,0.6165304085022554,0.5519565620264342,0.5511344580354832,0.6481154062588459,0.8431109109664104,0.7084263399614834,0.6220977250335836,0.9079683844492742,0.8762702958871298,0.775091045521773,0.830755685543847,0.8049829110760819,0.8307963647897121,0.8428604171623257,0.840295647919382,0.8777754682524397,0.9214080295241424,0.8021780316309767,0.7552050271914569,0.7055660357753718,0.7000663364380294,0.7545258385986453,0.8178210173697121,0.9655060252079277,0.9569222909776158,1.061486921911569,1.0516723728564377,0.9640554643199034,0.8838933297661165,0.869839112959636,0.7707270124216188,0.707721854380109,0.7206856870094728,0.740528812508143,0.808878491155345,0.8799396847146642,0.7830678708931224,1.1805227723988383,1.6673828456381337,1.5425111123219677,0.8817907597218224,2.3011181947610426,2.051174315599184,1.0886361099358863,1.5008969754817771,1.310916305007555,0.936205866437207,1.2807917703691538,0.9856900905437842,0.826796836939161,0.9444551538979175,1.1004066059705502,1.0578942921003873,0.9466963165790105,1.0461103131419172,1.0420169029784425,1.2211366321855903,0.9309051386970908,0.8998610651000639,1.111301600735825,1.0119836303594847,1.1111385879523987,1.0423870078317663,1.2303647357283987,1.5565031829759521,1.2085132682896607,1.1951913035814656,1.0339191941735708,1.2982909082690404,1.0058943247131866,1.0548080992618032,0.9900611633447993,0.9518612756079726,0.9647120513072412,0.9029486747014397,1.0529144388807024,0.9870157542212039,0.7750498613103258,0.7870119261424731,0.8145943703822338,0.942892646704217,0.9019744586535364,1.0202661856795616,1.0517716017859655,1.1430787897001224,1.069373276657927,1.047691473443029,1.0123455978918265,1.064151694626311,1.1325035359264561,1.0166186757769442,0.9944942517167742,1.1150269663985977,1.0024704980247954,1.02791289651746,0.9224110834333573,0.9138449528678566,0.8425494960722426,0.8037269578094881,1.050258886929511,0.7974174347592341,0.7955813936620998,0.8292998250320219,0.7074877822822383,0.618901892372097,0.5696208599646571,0.5418630416394747,0.5859425187546246,0.5022096088855149,0.6912269097743903,0.7514049469024706,0.7187202514134392,0.8516261884392762,0.690710009969668,0.6301689144074156,0.5191866183577211,0.4351289315796734,0.4426517236244006,0.48569719660454025,0.6137101049463164,0.619390027258695,0.6212209310050295,0.705413315692835,0.7699389100682515,0.8102912722893988,0.697779459440366,0.8659016422582956,0.6511239381152667,0.6572243242423301,0.8687880164127536,0.6166636698656054,1.0262342815625851,0.5349082080592277,1.4121064586963206,0.9408487305524916,0.6217651936429558,0.5984251605454914,0.6275337828604669,0.6615575663046277,0.594658455735856,0.6756692742871959,0.678377709565667,0.6950497470798532,0.7922802025867345,0.8173273227531154,1.1226931065134775,1.2718312477798093,1.0375650397924578,0.987906657757353,0.8971984271710246,0.8750934039723955,0.8267605607053756,0.7654127388551011,0.6587610273547982,0.6721522809148989,0.5655665566604958,0.6262547395641527,0.5891429411502391,0.6567496750653474,0.6119012710898761,0.6463518645717957,0.6934506445850437,0.7210009719778981,0.6324031668500707,0.5909320399627171,0.598506476879251,0.6780430016929178,0.729112084653254,0.7943408393104543,0.8197113724986395,1.0256783912230378,0.8082319128210492,0.8660300439350697,0.7116046150086944,0.7368626327602203,0.7345648821875116,0.7151327926267337,0.7646394600769522,0.7872646718564636,0.7300463139824245,1.1747159746521765,1.4603211797230529,1.1631948789544866,1.2396938365104853,1.130714586187631,0.8684192211566416,0.846476693250959,0.7592702308338062,0.8164115924797504,0.9459848997046741,0.8747738838203224,0.8154146691235598,1.0447492883456149,1.134969786076484,1.3123382156721093,1.0135884623403102,0.9722457587517704,1.3310542391131404,1.2799678352208823,1.032024066259558,1.192809527634722,1.6447035371762493,1.2312836217852683,1.2303740771573386,1.5532720191121787,1.5970192928010696,1.3321990305862854,1.5411574922400937,1.3727915364826622,1.7878798448603501,1.2649563566989428,1.2795268341743218,1.558101061850388,1.479798557238812,2.5758659917700726,1.8937591790575374,2.39097377016339,1.8448523941490576,1.8873518912558875,1.85036794922878,1.7818119496853848,1.6124174636405044,1.3216109788443657,1.401508696131467,1.2425621503359658,1.2020560675079264,1.0670346112557911,1.2806013112524437,1.0032231449057656,1.039696201239489,0.9505796438825103,0.8919766804941864,1.180695614055335,1.3346230343952266,1.5527102319815083,1.766427821952164,2.143874181571314,2.0835837983109706,1.7829573425252596,2.0019744960518526,2.21575439937942,1.951010215158514,1.8670603361806009,2.275868134530072,2.3325932158985414,1.973814091939517,2.203355533616795,2.473333154737592,2.2891026854595826,2.1382737379368786,2.3047905030999405,2.004093391896108,2.0615191734487786,1.934375584724506,1.9064643531265895,1.8276516228039346,1.5179857318375516,1.530288430135617,1.482207673769611,1.3744964525453436,1.1153915309524862,1.2474317073720258,1.2344189861689165,1.052617089333843,1.0031603414466213,1.056874595052203,1.3114697462808174,1.1125541228878844,1.1500668110083223,1.2897254149735213,1.4843085511500629,1.4611612841994805,1.3269377775555045,1.085446925013649,1.0476795929924878,1.3864195279540676,1.1680522733755625,1.2135862922237337,1.1089327550120565,0.9315659116994425,0.6720402427856877,0.6557567967754322,0.6480310571455251,1.057033919235924,0.832418305648279,1.084993100365834,2.0104356568305146,0.9036329466607006,1.1585645801683269,1.2819264298865791,0.7584991143637946,1.933837406017747,2.1698933479062954,1.2639731912140388,1.883606508042094,2.063971389771976,2.5739893998140473],[2.3472264874617594,1.1760463244066672,0.7871056957695964,0.4785863619186596,0.6141331402094654,0.4483526741294321,0.3942442426387225,0.5037118095131251,0.4372344251667988,0.4352674940663981,0.514272320635727,0.6715078949903182,0.5365345295573308,0.487248477410774,0.7043603257921027,0.6511150398657669,0.604348562360444,0.6399868810668405,0.6360873735672721,0.6501849713348344,0.6576442918043615,0.6494781371007938,0.7272102210281508,0.8357987737576971,0.6443145129035864,0.6104422344064896,0.5321137127522404,0.5309803243987514,0.5613297901835976,0.6087696792298772,0.7337771155181569,0.7103570347261584,0.8086858686963088,0.7970452665712755,0.7140597849528205,0.6549849988329732,0.6433996401427574,0.5762444491780561,0.5279319358139545,0.5258798514211954,0.569179735627315,0.6514194905895941,0.6822388244231288,0.6904230007239053,1.1216745546925408,1.6241135334181862,1.5690071451135779,0.8398588778708412,2.3075557621567477,2.0703375609220167,1.0083539829603505,1.4701664903311475,1.1307234300235633,0.8289602748837945,1.1236529300363944,0.7608369245763164,0.6333298507104291,0.7430115272204072,0.8995935304412433,0.8661151827296595,0.7480960061500447,0.8103211614575971,0.800345044193099,0.9880676870630883,0.7130955496473701,0.677040420070883,0.9241748094822217,0.8082061475546987,0.9364712246925508,0.839852864494353,1.048666152304904,1.38916084638446,1.0305350493780259,1.052865511325126,0.8035322895655969,1.148527149639479,0.7627888865495877,0.7889932444342294,0.736933525898142,0.7037219990248381,0.7273545703283808,0.6904523631512219,0.8975314606906133,0.7760354285697573,0.5766567205141235,0.5872000771584469,0.6065052837072857,0.7171044017414013,0.6705198896524263,0.7739916408710347,0.7997443612347511,0.9069121252688096,0.8112302037130644,0.7799256583718694,0.7652873483731832,0.8241474112257169,0.9084319038081824,0.7564739618953892,0.7469565622422828,0.8781388912424298,0.7589852620091337,0.8445779678578804,0.7007941409389439,0.7446884422921686,0.6965826325225424,0.6705500062454192,0.9141548803045619,0.6546122550771255,0.6621973036804404,0.7391397915971849,0.5919093577187495,0.4860970941119204,0.43744723331914637,0.4334965247161022,0.45648854738953276,0.4043882653611724,0.5635660370768213,0.8418461608030551,0.6340586192637394,0.7205538489774849,0.57529370890048,0.5166306511768295,0.5063317564687851,0.3638323416890303,0.35556664564710105,0.38689243593953654,0.5200252001470365,0.5101242726190968,0.5010490023980712,0.5797452290083447,0.7036322178217619,0.7293369952356211,0.587692201684588,0.7230469493924201,0.5315636312483055,0.552748221241696,0.774554899080268,0.5076140957704338,1.0138007692791864,0.44392544278826224,1.3510748654002254,0.9079431120790992,0.5396876932688659,0.49331857565367176,0.4826670105823803,0.48984077932685044,0.43996680176989195,0.5079722727003799,0.5097197643983411,0.5449687208591999,0.65763500577959,0.6618556407539636,0.9758035654277241,1.213749202489842,0.8899170694530406,0.7870819333347902,0.689553684007043,0.7017273362114207,0.6224289272519198,0.601319792657443,0.4988263708726111,0.4990177423854319,0.42345301591507845,0.45494286013560525,0.463287281410321,0.5962666792552406,0.5089161279113296,0.5973502233211044,0.6455357093771786,0.6784898144559173,0.5399075306783144,0.49625896616811443,0.4619643987942617,0.5162670240586218,0.5455723312695421,0.6109484723504044,0.6359940613393444,0.87034927546963,0.6213437690338435,0.6970703115475095,0.5372675586329683,0.5854916731218448,0.5903093578913841,0.584665185787621,0.6451573225774806,0.6543378945158006,0.5814130362053793,1.060339566386713,1.4025922906286012,1.0769280974230855,1.2380369024673157,1.1388484045426766,0.847155763933513,0.8191018830960461,0.6961556234788373,0.7649825791833779,0.9308186148434691,0.811897499425396,0.7409635538990555,1.068573969406262,1.0664909327785912,1.2745442031344354,1.0029500547747303,0.9203859306892843,1.264670436724104,1.284896809857058,1.04229126759585,1.1363308094759264,1.6086728600112625,1.2589491498141783,1.1801169663269007,1.4975810947895183,1.6278736938716465,1.3138485827387778,1.437319549854097,1.2423439124220321,1.6347191633458922,1.1173623544328306,1.1486303689571378,1.4193480152398226,1.3173999315759821,2.4527606707651097,1.7025960779011637,2.156626536116745,1.6879698302229968,1.7032699420288282,1.6939653091456721,1.587669392519261,1.4199603294172702,1.1684557269827751,1.2495704528732432,1.0504346171449537,1.040586347856396,0.9206688788412394,1.124564933031865,0.8931291250375325,0.9255042971946904,0.9017279019641737,0.7981647513950197,1.0917877746756866,1.221331220601332,1.440148177535143,1.6656278700679827,2.0189566753354615,1.9801686868525197,1.6940953197047532,1.8864936259265013,2.1130948433044274,1.9059680736823217,1.8072325987826123,2.2031937727810176,2.2972262510629915,1.959853570596448,2.122782514422541,2.3970308873637394,2.2755340772672907,2.069167142065976,2.1857405120567286,1.8924134951797351,1.9262484295413569,1.825199922535164,1.7511225160454598,1.6672596438370388,1.416551567946776,1.392970626767493,1.322423805830206,1.229484731491919,0.987937696042107,1.074011292622704,1.0501496299366329,0.9090158542699757,0.8733494277616785,0.9035893671829175,1.1912580352289306,0.98293302922271,1.0394414890758086,1.208782416857271,1.4140934538251742,1.31756945375598,1.1936821668439583,0.9759656501715221,0.9423928884930433,1.2685735089282668,1.090465795008701,1.1565767252455148,1.0706807005713308,0.9109019307273744,0.6563653279951727,0.5667994210732477,0.5884279938925137,1.1249180168489346,0.7424580772049072,0.9740212552537904,2.0501970217885255,0.8445942301449344,1.0806725433156066,1.265175749592255,0.6874606673643076,1.9681898947007392,1.9965593977641294,1.32111355276254,1.935037546807554,1.7185464067396226,2.378612995064615],[2.213159600959315,1.0357229447354006,0.6764718324225097,0.3952562444496427,0.4966533593848844,0.39813122464701484,0.2964383117638553,0.36526566684807626,0.34299029273092146,0.3668302922925518,0.4406012917834393,0.5543211312989359,0.44749736011736563,0.43486445867003726,0.6315046892783878,0.5632907910513307,0.540692202862453,0.5781732416277788,0.6013235751533554,0.597699128293476,0.6123845091008645,0.6001515892177078,0.6770847078251969,0.8109160151302272,0.6158148575136334,0.5774371312846631,0.49512552620143246,0.4868809667004563,0.4930447823530474,0.5149786110345413,0.6371010507985414,0.5851193369450844,0.6672010830959513,0.655606152585572,0.588953958247087,0.5518075427718452,0.5274387151561987,0.48804265713788186,0.4461652892253168,0.4352563502607655,0.5368211583595179,0.5885351890161138,0.6037761656464555,0.651195576975128,1.0908826157543132,1.6071129481222461,1.5503855612124795,0.8382550963946789,2.326730252774371,2.0810124201760494,0.999953988342525,1.4801113054528008,1.031580333818433,0.7782686351595738,1.03729219100059,0.6606929353393729,0.5724640649345366,0.6572971339680254,0.8086310488264637,0.8608459924654299,0.7013587013021405,0.7446990726154382,0.7152677801536947,0.9228358996043755,0.6569077725059052,0.610049559529713,0.8786799035496606,0.7460547692461823,0.9045013192524792,0.8092636360111831,1.0376610982189847,1.3647158505504104,0.9858042300696381,1.0110934239245304,0.7413649635302639,1.0863463862876908,0.6788788304881654,0.6728538363121235,0.6204445265325095,0.595406920600419,0.5974673762142698,0.5798857352886893,0.7903585267274787,0.6303296920579303,0.4699456368893345,0.49187183016462266,0.5071968870183136,0.598684234607326,0.5657717760922707,0.6588376022293254,0.6926930388767123,0.8053481365935029,0.7059312013095239,0.6521785461342925,0.6476311145234219,0.7029458486847449,0.7995423427567518,0.6184709025383176,0.5974590557617138,0.7116897854343935,0.58660885565284,0.7032060735794391,0.5347382349666056,0.5878681173365549,0.5408012817421023,0.5174232272518472,0.795960799653526,0.5481492917727471,0.5547170577180429,0.6490996271996805,0.4833519806449311,0.36430120481411343,0.32253558457328474,0.3577173185217664,0.3886764087375515,0.3687824064004122,0.5273978632599237,0.7836367564318208,0.5953630911303778,0.6784617311266284,0.5462070464987934,0.48771857541263974,0.4796387678713549,0.34749636245604804,0.3167269747863105,0.32280441762394746,0.4355876422203003,0.3958701184656167,0.38462101435465146,0.47978047872615975,0.600596261241144,0.6106234848881439,0.4614160112755823,0.6672838002850315,0.4184151872216775,0.4533806905832174,0.6886438287498826,0.46733515416566695,1.027877064791303,0.41041892849366884,1.3652893286108845,0.8850069656295059,0.52633371726417,0.4623783634186396,0.4359669358411917,0.42162259613753156,0.3730834387283348,0.4139958281243231,0.3928784117165289,0.4321052211882392,0.516161608590156,0.5304394673153296,0.8873588168001901,1.2245873597901253,0.8546919346130938,0.6502078725171055,0.5330330313846178,0.5385948379664411,0.4789156490254621,0.4702643976725818,0.3984775692069542,0.4068224918102963,0.366624446350599,0.38128416846398266,0.4197295154426509,0.5676525947402147,0.46716903229119594,0.5846864738627428,0.6355731343216986,0.6785564545447027,0.4990161932308301,0.4682216081533292,0.4057365674547164,0.4200064172366772,0.41400477577454237,0.46933624951044955,0.512847225331443,0.7631173503302436,0.4898041244761918,0.5734522369912939,0.4198515466080844,0.45055168292633274,0.46682245641967307,0.4712509076660789,0.5464105756831391,0.5730394821201852,0.5289781083030549,1.032603414672225,1.376302979692921,1.0176595149295127,1.214140422725773,1.1175800520114183,0.8144963169159417,0.7465933844953263,0.5996061952678999,0.6643678866645418,0.8485338250562482,0.7379791095140649,0.6625360993456288,1.022238006830691,1.0257037140983871,1.2647177488387058,0.9881288320120852,0.8969627087431218,1.2552401087274216,1.3085845772902902,1.0222544755851406,1.1312189501048542,1.6145081996043897,1.3012211565235492,1.1835087347498792,1.5011273385035717,1.6750587811975384,1.298059138217075,1.4100246657799262,1.1910306606868335,1.6052721878292595,1.0239176740185956,1.1176946420273042,1.3508893305601046,1.2403391604242406,2.269935308919681,1.6130516967463118,2.1773043169424513,1.6232171267430249,1.6303625363081538,1.6297285345755261,1.5188630010663495,1.3320383331680952,1.1277342686489737,1.2257373026312215,1.0203479392329777,1.0289570936946273,0.885402502317205,1.1004405791326715,0.8092053936970425,0.8244544023047509,0.8515171773142016,0.7215736454409415,1.0360338772641804,1.1839928478500028,1.4277583989563787,1.6545122900187637,1.9640213202571803,1.9614085386884312,1.6687052102820261,1.8437245615733882,2.081895444889863,1.90109922387625,1.8086511646748082,2.1875615579624377,2.303046375735442,1.987855783685521,2.1007513137586447,2.3663442349979564,2.283232888511082,2.0572243297940065,2.134409995435471,1.8507546804831045,1.8802116862012697,1.788728361263344,1.7023404493896526,1.6047224888261324,1.3811219265206889,1.3594616322268345,1.2583152587024213,1.1727241874509013,0.9397391963789732,1.0081916424514858,0.9863976486788634,0.8481824992812084,0.797152604884907,0.8182879118480756,1.0878254501669313,0.9139581017966543,0.9731494547751501,1.1368684232469215,1.3632545515211605,1.2168799991772206,1.0809766175176332,0.8901586223595139,0.888999025012676,1.1750172202043792,1.0124504982998006,1.0828184502546025,1.0289599284524653,0.8250410118470319,0.583777153259828,0.4851620504334612,0.49059256890896313,1.1434168213035498,0.6594225944060448,0.9778078868530353,2.036054849962247,0.7230190088880494,1.0571895855880964,1.3097881321032776,0.6715874299263578,2.1821501939213017,2.2107167860868637,1.4225940401515824,1.8255518318559363,1.4130728599857727,2.361485839456348],[2.1414248120559654,1.0089753136589983,0.6398102113278957,0.3545333384905852,0.4353723903316086,0.4016017243182732,0.2916479066327622,0.3078276956803704,0.2889469204554839,0.3227464806589922,0.4082668193508703,0.5103007153676541,0.40085359688858124,0.4057385200440167,0.6023075040641792,0.525375446011252,0.529417601113786,0.5794302615478053,0.6239711106523652,0.6065870031643257,0.6506436155783275,0.6305687273081558,0.7547115265160356,0.8888398060331828,0.651591912691786,0.6243167103157373,0.5442602549372486,0.5035938078333481,0.49388514638550873,0.49168751362912433,0.6147206525515071,0.5475160154283135,0.6461134349791143,0.6352190745382809,0.553980009097641,0.5381327602071272,0.5019085740506973,0.4978571572110351,0.45981599580204385,0.44278122272919024,0.5914883977845167,0.5976450867914689,0.6073954599102627,0.6722633970630139,1.1130438387804025,1.5457021490604697,1.5181275368371234,0.8902485417169284,2.27104690828636,1.9736127560590795,1.0249975039623083,1.4085330888291188,1.0012234476883053,0.8147707088764808,0.9950342696952355,0.6368659243264794,0.6131204891239395,0.6627079307327142,0.8064877532342407,0.920689689510436,0.7218454709692526,0.7741783167270625,0.7366576815467943,0.9673414647636702,0.700753187359446,0.6402483511300567,0.8997950923961112,0.7585035328897939,0.9434729363022832,0.8139667722466877,1.0606034593413454,1.4053453707022185,0.994258363696939,1.0584229598585928,0.7570519094351763,1.1488207983461594,0.6968367190415932,0.6799474477633277,0.6099918408385675,0.5964321421966885,0.5960301498427019,0.5684288530107449,0.7760149790772061,0.6037787604354454,0.4500088788835398,0.47407133025345155,0.5134774739054452,0.5823724642200181,0.5456985961656088,0.6527675804361572,0.680655270318932,0.7894650938896739,0.6925949807994428,0.6322063338074252,0.6167765542109117,0.6793422381390221,0.755142561072429,0.5771413217965191,0.5509941311196668,0.7176628898018116,0.5478285860115282,0.6592207105578469,0.5009517704944444,0.5414225739821422,0.5136911121805208,0.4872611999305341,0.7314330858747725,0.48424994675575267,0.4858157073202892,0.6286926547746126,0.43404933438293514,0.334821955800684,0.2864416652252289,0.35888723034670156,0.39615223550783396,0.4060790143338454,0.5329943558736389,0.7159147595098547,0.6556682286137507,0.6884935596639274,0.568060404767759,0.5109117121465417,0.49337778748733807,0.37125830006588745,0.32647298999670393,0.32751963885856283,0.4345413320077449,0.34692290907657625,0.3568662869816684,0.4370139345776654,0.5940797628327305,0.5881074287647517,0.42501728512212555,0.6648490679317195,0.398588468655709,0.4280283754864926,0.5922281644689964,0.5014651195103558,1.0734440309394147,0.42579619381371897,1.4239547247466269,0.9340044929185595,0.5741102331257671,0.499851958565595,0.44705247620985955,0.44610356072272705,0.3931838570634884,0.41917894803686095,0.37068790893308934,0.39542620791700445,0.48344359452782454,0.536613555741211,0.9138208722153126,1.419381403183235,0.9703050185743601,0.6595687307632326,0.49106756800389983,0.5083352294868525,0.4481760758705959,0.4359331626833245,0.39411863341928133,0.42258988309277373,0.3963405729540057,0.39961767798456677,0.46420518272977224,0.5804448356660672,0.49203394638572306,0.6143754520031779,0.6266430190929702,0.6797472565894986,0.4961737881100852,0.4608138820558777,0.4140220228649597,0.4090012488268852,0.4013706870375766,0.45731003641869256,0.4952229958844311,0.7473896177459199,0.490134023374996,0.5502283382195989,0.41232751239075494,0.43935937169790584,0.46760836244028625,0.4687528671803155,0.5205182220456853,0.5550296378238306,0.5174620829383636,1.044421693567838,1.4237028828494023,1.0295815188005153,1.2501287363200926,1.2131679717624917,0.8357164899416799,0.7585919375348622,0.6022276001500485,0.6399538655352879,0.8144369204837607,0.7024273337526208,0.6163346105331926,1.0360323042150623,0.9916876085524743,1.2541929451430505,0.9924787393568566,0.8709988870289964,1.2196569882349548,1.3006393047822227,1.0183436197608797,1.0969418550402894,1.5838642347460286,1.2993152030816144,1.163653683034411,1.469063176069278,1.6613232630085917,1.2864373557116415,1.3820596326658545,1.1447605025707974,1.5609261678008093,0.9693582709674348,1.0654768051767265,1.2899701533387966,1.1784016307539493,2.218435795984782,1.532930740752997,2.096891023178219,1.560881313456686,1.5695416214380669,1.5832884440347383,1.4604928334649683,1.2496627899019233,1.0640767256072658,1.1764371830666944,0.9526290612265166,0.9680865194245378,0.8200114567916713,1.0464651039784445,0.7490165196209799,0.7791622178515147,0.8138554272307099,0.662675460249133,0.9899211078424291,1.1537215639170846,1.400335256837575,1.6515801378861237,1.9569052023179876,1.9737617044861875,1.6584813259146107,1.8224324175739948,2.08930224890975,1.9088686350937432,1.7946603090163495,2.1817374046643296,2.307953285953838,1.973263718324905,2.074146518768691,2.352448241194417,2.2677930620806426,2.0211384139979236,2.095642517799111,1.8039981917739603,1.834479487888272,1.74973085241961,1.6508207731677502,1.5435730267736343,1.3300690714917567,1.2985621127531555,1.1859989070930774,1.108587064209363,0.8761181271888436,0.9251388372389354,0.9247278427684922,0.8009656897165297,0.7431872914558627,0.7675055061909298,1.0475822444729381,0.8966096933774017,0.957960493138669,1.165787575041548,1.3918266365028962,1.180545122408548,1.0528539455693153,0.8593288881925446,0.8657976225186564,1.1362797622053982,0.9943069937095577,1.092172350229074,1.0469742536232547,0.8000740129434959,0.5925662020886301,0.461511257783741,0.48963654871956286,1.1929512673336755,0.6111480025165769,0.9251402751153169,1.9655122908083196,0.6574231723555554,1.006985612313286,1.2475620065985382,0.6999394587190688,2.2200576877689704,2.2864110935974047,1.5305968856398715,1.862235971880983,1.5279782141677904,3.0584038843296346],[1.9601218822446511,0.9123656647360728,0.5484063517682595,0.3116162226838123,0.40336095302193176,0.3355555367832806,0.2656508284968383,0.31085952708629594,0.2850843460264103,0.3108087972210711,0.38140220856414,0.49378993320463826,0.37261573889358723,0.3898958157123968,0.5503603678058082,0.4818774924582698,0.5268114552145412,0.5677144624697709,0.6354899252372797,0.6086868743348236,0.6661552695572162,0.6560638648839839,0.8002058842086927,0.9491583598676957,0.6858365630227596,0.663923168232769,0.5766622694281425,0.5140101153355464,0.4910155835937955,0.48574829610226006,0.5874489616787354,0.5067254122343317,0.6457274898848562,0.6165070420912746,0.5194992357115246,0.5208256329820873,0.4766658273060621,0.5080402343137305,0.475712865150536,0.4588996670334878,0.5998730802886092,0.620958125087368,0.6136373204220427,0.7264015539096164,1.1647393003136928,1.5373330516141719,1.5754143537221992,0.9423792510991001,2.215468059990871,1.9153455420336176,1.053497537185445,1.3766675489062576,0.965986354951103,0.8732555953689171,0.9655514219835517,0.6192912709504796,0.6325676037937819,0.6642242533868026,0.7878185889632856,0.9622727616442064,0.7423144710419625,0.7640700448592793,0.7131372701245235,0.9546484906388234,0.7065207458301971,0.6405169323061236,0.8903049840579991,0.7335997928617692,0.9340536186928208,0.7795555010037201,1.0171301492956646,1.3421277875528514,0.9395138687371472,1.0749830301505978,0.7220933138992199,1.1652008259598878,0.673627495704427,0.6482619796702817,0.5847850164220239,0.5668895899191292,0.5768162968092383,0.5535835827751949,0.7596532575222394,0.5708787989907563,0.4509561592419457,0.4745872617849913,0.5124070840262287,0.5615597119468356,0.5280994054917584,0.6272791756873661,0.6448361434326472,0.7668772064336299,0.6601427857251715,0.6067615777142188,0.5721811876558264,0.6477842337819386,0.6721886303006465,0.5503832152023027,0.5171102005587148,0.7471482086344791,0.5141719165139355,0.6179516819314519,0.4529097642415722,0.4944071731776852,0.4601909023195622,0.44561136402292134,0.6271469325066076,0.4492356934526553,0.4683972022129784,0.5964417436025778,0.4100480234867777,0.31046834088550174,0.2843119004617671,0.3632499441106753,0.4076232350020817,0.41883840691894525,0.5453194662032894,0.694333678043195,0.7065204224942527,0.7037713847865908,0.6010802842362324,0.54987306899686,0.5280329870814436,0.35747709282315,0.33094564975130514,0.34495846859129287,0.4025275398440501,0.33616160927592165,0.3305481181982173,0.41503001814632906,0.58282342126318,0.5241275860818526,0.4154271523780041,0.6471851455894382,0.42287782213557895,0.4594730501942098,0.5858042982441887,0.47990708755060507,1.0238991721022523,0.4790841177956855,1.498148664125317,1.0406713499733509,0.6240747102425618,0.5609202983904554,0.4739480035968456,0.4608299037937919,0.4102614515172424,0.4198469181762049,0.3716251174095225,0.38989867448172955,0.47158062614338736,0.5541662840289283,0.8895720312291939,1.479021389132947,1.1010467715847343,0.660717676473756,0.4675379458275499,0.480237447891359,0.4183055960590852,0.41291605789135527,0.39481491476188635,0.43291828516037184,0.40745502311378345,0.4174874575839773,0.46775372893713746,0.5987741570688216,0.5210384585290199,0.6461807563430637,0.6289346874433894,0.6802408551423733,0.5158406778153919,0.46441706999221316,0.4326680046342496,0.41321856144940033,0.39413344155910474,0.4252660041424176,0.4769433061624534,0.7166200507419357,0.482321121214836,0.5243851109945147,0.40287679705714124,0.42084095036444524,0.45798477548365824,0.4849073145439026,0.5492025398386614,0.5713293641928984,0.5276755198601282,1.0984088945225878,1.477840174116244,1.044265370824249,1.331311892530807,1.3124880566684607,0.9041485394839014,0.8264416029753165,0.6441129049463911,0.6692202484208899,0.8266468318989744,0.6758408303881671,0.5918317625477997,1.022056098306017,0.8997138723477152,1.1913863084491088,0.9556503098711491,0.7897952553561544,1.114257645011794,1.2435647158674106,0.9712750734072347,0.9970005760335232,1.4813820343010675,1.2498010685279897,1.077571889292041,1.3646934538205218,1.5997853589204778,1.237108900663381,1.285615347360748,1.0399757626158006,1.425946935195593,0.861202108564785,0.9321258940932156,1.1359833068257665,1.0224062385518724,2.0658479439766015,1.3382106883329838,1.8978077568877068,1.3799592561974379,1.3783948343711472,1.4244017390612043,1.2818662694283052,1.053819103628215,0.9064419212895818,1.0230040339575381,0.8026266524976876,0.8526789447688051,0.702412091570844,0.965106157397437,0.7245367766882487,0.7245522040653222,0.8328904408880636,0.5808493129538703,0.880482579622483,1.0317590311101814,1.2794830566668276,1.5569082736050412,1.8441119996369029,1.8995737029668205,1.565683720706325,1.7037282338070967,1.9997932120997775,1.845792286334213,1.699797025240722,2.0758633504939836,2.223108214657125,1.8876858614599727,1.9516209060478178,2.235538622418019,2.17642986139577,1.8992055037621076,1.9507655645039548,1.6577063821423317,1.6773590237897489,1.6062358967640356,1.4803564677864134,1.3650148710791965,1.187167921149067,1.1338370607124972,1.0012533332266405,0.9407215016107037,0.727148334085832,0.7411342065696388,0.780381048107576,0.6915201601344915,0.6543442021652273,0.6717002954976583,0.9878507219453458,0.8624920615057367,0.9208206601359176,1.2157309818116007,1.4232215174168255,1.1130702700982589,0.9866284581735598,0.7714741269224918,0.7740891739002087,1.0500497301028608,0.9294449279937848,1.0742761264224194,1.025663886710808,0.7288384657732816,0.5921203463393634,0.44654363591426893,0.5035595999645847,1.19533473892089,0.5742581322099706,0.8556980602306459,1.961124336153261,0.6372006890888867,0.9695181715240105,1.2300056852881063,0.7657214663803188,2.2160165383641064,2.2155979807010864,1.5597274794311882,1.7923662003726029,1.6020965811277472,3.3162178117513967],[2.1208749313497663,0.9979419308443765,0.6585545156271986,0.33163330045562445,0.417990819019758,0.44515519089390443,0.33555674955987913,0.37115278432548277,0.34732599102678435,0.34466955433520907,0.3886740973676829,0.5093200754253248,0.4300443538786254,0.4606820720486445,0.6484280312620367,0.5717536103458672,0.6331201596428301,0.7292104039486753,0.8354956795425952,0.7793540362942181,0.8736146168742266,0.8431524362977645,1.0275871743470455,1.1941608730405446,0.8282805843604283,0.8377460675186168,0.7326406543676951,0.6554833046498858,0.6182096232005714,0.5711665998997019,0.700962984202517,0.5923818482222326,0.7274013832672632,0.7164587383556363,0.6245303506780274,0.6380438605634671,0.5841086259003296,0.6140441800251886,0.5859034230358805,0.5705564331949993,0.7499337118976271,0.7716451942243416,0.7634330046501324,0.8431304257962957,1.2583742829811635,1.534072657163375,1.532788032783708,1.0652612114415352,2.1972785391836696,1.7835570408830217,1.1672206855605085,1.3250541280496506,1.0511506351024027,0.9507775121785352,1.0858788910079344,0.7774182740647473,0.780118458555818,0.79805507601599,0.9208785664426079,1.0470529514646083,0.9035197192752308,0.9601593353280898,0.9058037664258987,1.2007991477331974,0.9183108268793281,0.8403073562736804,1.1084422789841966,0.9456873122193322,1.1390310355985354,0.9867465623737475,1.2515918716890992,1.6389109526226302,1.1594493885493071,1.259702920454558,0.9193164358541622,1.3187288734639773,0.8611894316759893,0.8060033503543614,0.7403983463112565,0.7252056099085807,0.6900648605239283,0.6597141120590165,0.7860322152125,0.6485848286164881,0.5401481451521574,0.5556706753694981,0.6100773155525654,0.6685542429738451,0.6744670545722659,0.760683059205804,0.7951063801705868,0.8672004901145494,0.7770359167279529,0.7146825007703662,0.6796587762442067,0.7388153245196902,0.7673006795642653,0.5990667401389081,0.5667400810680647,0.8862722529909841,0.5784903590703678,0.6753256543793242,0.5562890323066053,0.5419655397672094,0.5196759911397402,0.46710890106112907,0.7279837986686345,0.524017039671034,0.5287859558804543,0.6684371242101457,0.4606930894612754,0.3816422908729635,0.35284467439850326,0.4166544071720637,0.45749697134539713,0.5098972976278533,0.6633974012859661,0.740787275406607,0.9029344189991613,0.8865614117339018,0.779762834858476,0.6807572794413187,0.634880649894485,0.41373932257408785,0.3695863489605371,0.3620863508561389,0.5026734124255947,0.36700860073987446,0.38101667947196116,0.4401373649118168,0.6358023070795863,0.5603666321802847,0.4298275629854721,0.729173104793281,0.4292730273624949,0.45462124916405916,0.5715354062056244,0.6197920653064992,1.082046683717417,0.5815221980335511,1.6514172166747207,1.0793177625894759,0.7416845117938596,0.6945166702224607,0.5995122506344522,0.577162265209063,0.5079733844727726,0.4666661446256868,0.43166240933093664,0.4066932460823731,0.4776765162107962,0.6144591082120588,1.039461119169668,1.706318103481157,1.261014584895283,0.782524444551278,0.5360660417146753,0.5308520168338974,0.4939326150343072,0.45321012336592253,0.4725333313032003,0.5285855190001237,0.523887620360071,0.5286244101837361,0.5569081102494288,0.683231245051996,0.6019693409366053,0.6878888466137342,0.6609852998579651,0.7358171078804266,0.5778749310036149,0.5483557667779793,0.5237043828971623,0.4948397424172377,0.4902862091059362,0.49376294706597745,0.535475357692991,0.7498702519491376,0.5685757781708705,0.5758411738139949,0.5017838888225874,0.4723977243887296,0.5102710244070189,0.5343222623281034,0.5993084561310531,0.6265941587452893,0.5963227932911658,1.1564715471046445,1.493557400283869,1.0261697059416635,1.3215085892026375,1.3654167849446897,0.8405691282810976,0.7510691899043698,0.633423884350692,0.6541720448195781,0.8181094107001629,0.7229643366721601,0.6391136498330314,1.0573900286500926,1.0396877296322837,1.3269019053416353,1.044742103217288,0.907242657105316,1.2806031710000845,1.3599340374893467,1.0474207010366734,1.1365282240444337,1.6449719819494473,1.3338803434470643,1.1922506450622627,1.5140800265376626,1.7019232986631003,1.308087961890004,1.4087017563973425,1.1681948104724427,1.5982399263917764,0.9767926950703287,1.0863357502143447,1.3276511090851608,1.2150664535995186,2.3061193645866163,1.5844736421298542,2.1676871037752083,1.6502307463557009,1.6814419557234688,1.6923451546654924,1.58143756078002,1.3211822470421362,1.1271783190505196,1.2321850346822791,0.9926575738380605,0.9758823458418786,0.8344380032417603,1.093450579866177,0.7232726338500699,0.7582613379854614,0.8551471697646414,0.683412778640758,1.0190135232266428,1.2151936591524084,1.480495073344573,1.7747878872005096,2.0987932799243243,2.129452932291496,1.7488142742504391,1.947900760783199,2.249957246218946,2.029179718485383,1.8983978134472304,2.3193490265985677,2.439642039896938,2.0571000940593622,2.186247614066687,2.48242808513814,2.3599847629074353,2.106990348774489,2.201306732680898,1.8870406725839024,1.9399101804243055,1.8491158150502371,1.7559972461448696,1.6289686557688299,1.387651801068134,1.3662520095619082,1.2330603334605015,1.1408805070819945,0.9028200749253855,0.9557679782370677,0.9139261540397949,0.7992391137256688,0.7246411616324295,0.7547352481170292,1.0113225626252402,0.879740185481591,0.9409307160910494,1.1911365729342716,1.415731495650273,1.1557334819802167,1.032915047601599,0.8604701108782445,0.876416453051567,1.1076028192136378,0.9658563195346328,1.0646513703796805,1.03257473641505,0.7921160498930336,0.636406107961195,0.5152005588497567,0.5640481008404246,1.2700135466078717,0.6092525186502179,0.9067169064026886,1.76549958915462,0.6132964618057793,0.9549224379524742,1.174360776009245,0.7367975150480415,2.2409558286789597,2.4729450051653745,1.6639410368219398,1.893747900693588,1.8366985229499848,3.996286579519665],[1.8865092274501338,0.8649530267924278,0.5098023332528226,0.3153320173363726,0.41329035097937805,0.3594358194004473,0.30475269541784616,0.3218454968046939,0.29435796234768313,0.299646450121589,0.3391647488845879,0.4412390260479907,0.3537116979392899,0.388592898551371,0.5326850266620125,0.4882670976537539,0.5484521934978376,0.6187282132477707,0.7343601170369682,0.6858725024324948,0.7697266230042098,0.7544768053513534,0.9403293242160975,1.1217576421063578,0.7831873240781788,0.77904070860388,0.6896269507583453,0.5892382063472297,0.5400632869680798,0.5037468158600794,0.6063992231747729,0.5256779868551105,0.6750823333497432,0.6518734573693032,0.5449144123425411,0.5604539914802491,0.514884520971393,0.5481594169844155,0.5335857371671754,0.5212529871786644,0.6823592060802653,0.6968063191246936,0.6839033847306828,0.8353564318076976,1.2816723406871235,1.5470722686705942,1.631678813406312,1.095517505874464,2.162669405176671,1.8232863319319201,1.1726108301348936,1.3253128926621354,0.9608273449985404,0.970141316122245,0.9691357750359288,0.6774016603831765,0.7254872837687745,0.7176514856028157,0.8361023541296743,1.0475921284085072,0.8329333268658684,0.8397413826070851,0.791311644773771,1.0474998062900094,0.8098733567506319,0.7357030771524871,0.988973301026591,0.7920805531749262,1.0164458551019926,0.8163654647808436,1.057338055564764,1.398967037611147,0.9629371457918718,1.1545026606984934,0.7771097703201247,1.2776879025817494,0.7443727294804264,0.710357608358688,0.6417522900159656,0.6430955101570639,0.5905727952147616,0.5797590890892003,0.7863888276059768,0.5741992928255885,0.4795618374918693,0.5013282075112676,0.5391709096653639,0.5878613742569669,0.5845487158484018,0.6721808571247634,0.6874898331079387,0.8110669361753193,0.7167321573702526,0.670167276666772,0.6057232738374816,0.6806867208595021,0.6362435218909905,0.5508806609875033,0.5176956379134612,0.8117569990820918,0.516179924749681,0.6157407477520862,0.45960512837967055,0.46823653220716316,0.44380887042679246,0.42726733458558125,0.5833792451159566,0.42773938827933955,0.4582411009815228,0.6152714378461988,0.38770824875457305,0.3234221452008166,0.3193238249177251,0.4027985943928162,0.4278319568085982,0.4946237639639516,0.6174433044801645,0.7323988750970093,0.8546401517300967,0.7833874175611907,0.712926588432544,0.6386294578047729,0.6307925188499193,0.39324027389917404,0.3608701831044596,0.36719529088150454,0.43181913408297457,0.3600378950793412,0.33810292857715163,0.40144897652043554,0.6185253353220199,0.5187118776887331,0.4409366692095954,0.6577136283933929,0.4705643414698375,0.495126168092167,0.583198814733678,0.5572684085273216,1.0192981045757978,0.5854871079458729,1.6337669052128247,1.1801554798997118,0.7471157132392465,0.6897877554534401,0.5724367130734613,0.5334369814214291,0.4776880272995641,0.4448785072664705,0.3933337886955338,0.38400818423641747,0.4402004714456993,0.5692024597540484,0.9076473448928852,1.581466263536158,1.230719417813481,0.6962446011887464,0.4610774315561655,0.461567242577601,0.4343244397113479,0.41530579575496396,0.4443318848854591,0.4843862634124963,0.47840778175381776,0.48387686106445893,0.5594799904136988,0.6952579846943318,0.6048341884204844,0.7425820083947469,0.7041433365647253,0.7582557931202419,0.5846642746028748,0.5412298641616249,0.5015804824938427,0.45318782050623674,0.43354644928564756,0.436426950452924,0.48759676802627894,0.7179201658450366,0.5213413308803747,0.5228515527680876,0.4568000882826438,0.4331573138626229,0.475641582518497,0.5354724298246186,0.6097733027529134,0.6329615297008181,0.5850344234309496,1.1810419833598582,1.5603762860763872,1.0812337121198703,1.435385553083343,1.4446759180921167,0.9709111944128223,0.8720341054666854,0.6928918339049659,0.7177743924963976,0.8697041418026156,0.6765221981173966,0.5893332039296146,1.0413493040860125,0.8842975850278223,1.189837021473922,0.9610957838969952,0.7710031136314824,1.0930827688708973,1.2364236422836121,0.9589026055637824,0.9694724659847959,1.4640181675741237,1.2380446062667552,1.0505259388292252,1.3404155598440768,1.5913380013834346,1.2174708154249854,1.258203618257785,1.0089608779147556,1.3900211425903692,0.8116569230014,0.8797880171658532,1.0849527819482276,0.967514589284453,2.0240931915305893,1.2915390794855268,1.8592475293536708,1.3381766383371052,1.34642086704629,1.410498605835801,1.259320503342607,1.0072518249609095,0.8696468292389642,0.9868033494062828,0.7672004937047427,0.8117230635797631,0.6631373873074413,0.953931010229292,0.7076227240615608,0.7082503194165646,0.8660047996702805,0.5673767700792064,0.8572011079529203,1.021136213932987,1.2674485125333272,1.5688524936905237,1.8512254795480916,1.9285817073898892,1.5653823160720481,1.7052516542824308,2.025988993488879,1.8620692182639933,1.6982517292319204,2.0873394456528884,2.2389007174857727,1.884882318308072,1.949178863454846,2.2459844724980704,2.1803853091449943,1.8920668630093462,1.9445808986638007,1.638610281457185,1.6591798085462046,1.5875806172259117,1.452302463906025,1.3300578075130132,1.1502853737022807,1.0914803562690718,0.9404072257464353,0.8790227269639227,0.6835466091956154,0.6881409834764679,0.7239570599692188,0.6528659936470443,0.6336014158484042,0.653806918640532,0.9606298683390773,0.8584780995587368,0.902243876900512,1.249325683394564,1.4350559347221399,1.0676458970147626,0.9405128312923828,0.7255372585278673,0.7309610617860391,0.9876792913218729,0.8969783643286986,1.0649195438179462,1.0236073634696499,0.7160318524515099,0.6175522728558805,0.46283609135702175,0.5436652024776119,1.2185130728934632,0.5374953826708216,0.8151164906688777,1.8458506727341746,0.5883682743309021,0.9301009089776454,1.1932262093397148,0.7921996125822482,2.1897882779491296,2.2607560354772485,1.6423776648799244,1.805434294122612,1.7768084782308669,3.7521620344131743],[1.933345533948868,0.8898944710599608,0.5438511753412081,0.3386404418500585,0.4346400560407495,0.41800163625638737,0.3594056795469888,0.4117359321263498,0.3857959493034318,0.4041794224861091,0.46053659400176994,0.5926285610890042,0.4915322437120273,0.48028955077965496,0.6581868030173982,0.6416563892923658,0.6535734058483861,0.760405309271934,0.8883031183639793,0.8382629525192359,0.9446226226475011,0.9256635237289584,1.1358593525328267,1.3214849640517454,0.9252173870105497,0.9231856773087449,0.809855241654244,0.7026143480718093,0.6759923734242641,0.6461782611763538,0.7548374673816843,0.7005052849618324,0.88818614401488,0.8464725316336404,0.7258114861889418,0.7156060213933182,0.6704633467013656,0.6926446321114207,0.6717192055374699,0.6679778888285052,0.7965105853881581,0.8529530977815155,0.8400725912034414,0.9511780011897948,1.414141996289299,1.6203609529833185,1.7401115342331306,1.2297666175335538,2.1525254277591617,1.7675362083212793,1.2645832552381069,1.3467537263850617,1.0199215194182547,1.0631492314538393,1.1163201904524545,0.8537141808843421,0.8744783576924741,0.8782003917544485,0.9873555240142732,1.174636445621002,0.9856382847662098,1.0093756727538639,0.9843531803694477,1.2326416432259577,0.9890404882027863,0.9092485771704211,1.1168381079925769,0.9655520800378772,1.1812871353875587,0.9655006550912311,1.2340845846495603,1.558988467066655,1.1270324869035033,1.33909872395124,0.9733206047517959,1.4288111266764072,0.9428428406209461,0.8952610048509182,0.8300243093245786,0.7992670280352098,0.7614312331594119,0.7351009865055327,0.8894987795899117,0.7015024818382125,0.6352349133551449,0.6488570538257119,0.694524087352142,0.7539666199649034,0.7550905633521598,0.870088200859587,0.8655037968098183,0.9295473512095773,0.8666577026164912,0.8733885875750683,0.7795127261492203,0.8693341097384644,0.7628765157331808,0.7418355703251881,0.7019198855651877,1.010749429315137,0.6931876929416609,0.7333504055899736,0.6301293922602436,0.5801703323609289,0.5473718944278456,0.503016656100403,0.6658925494834824,0.5275897870414471,0.5499617528619315,0.6931393772352048,0.495280431800574,0.4268823824605398,0.42249782617304943,0.46450062126420244,0.5035230639558608,0.5664782545788464,0.7121180402202454,0.8384276974750414,0.9926130675201347,0.8888390113901358,0.8138479950292368,0.713392631614436,0.7118795661529507,0.4562013459099748,0.4166418238329208,0.41475723491488725,0.48225080195197223,0.4121146675138944,0.4130350598337138,0.4858373557337383,0.6477088633330375,0.54978059565521,0.48824096185789334,0.7235109623537125,0.5245228621483885,0.5430999550285078,0.5941975123975239,0.6350284145340681,1.0453650461142234,0.6816535033357893,1.725974269937666,1.2631506707840652,0.8538415553164609,0.7965985250005916,0.6818693414426978,0.641917313433863,0.5765084359498611,0.5245501815419875,0.5014853399815581,0.47660404741442713,0.5218247697834102,0.6873240266904794,1.0409056101021017,1.708364607622663,1.4076555924581229,0.8608146722876625,0.6126489143295234,0.5801485920718106,0.5694191047569649,0.5156194505987933,0.542683740947148,0.5815862395148279,0.5864241670457592,0.6008397443053479,0.6235201535686875,0.7731717455027858,0.6824539513208112,0.8068644448652245,0.7624182685514236,0.8230600172257733,0.6579211066360372,0.6290223925212196,0.5878273242900752,0.5669339972789382,0.5583598870471667,0.5660504970228681,0.6106681862934623,0.8182696891982614,0.6525964790731604,0.6232627810781725,0.5739490102304914,0.5193417639500392,0.5563793375066789,0.599198306402989,0.6603737628990409,0.7055148475343922,0.686907593797697,1.266228180198572,1.6225882790069412,1.1101713788423913,1.4746790424982696,1.5026866380835344,0.9911076942087632,0.8895347910231124,0.7241332344608037,0.722640089866259,0.8713099170124231,0.6979319167581644,0.6247628097910658,1.0564392087792043,0.9369393459396798,1.2479332524376263,1.0094737665113562,0.8213786226585919,1.160271036250309,1.292929449072651,0.9940628188641542,1.0262492858928398,1.5365763244728563,1.2875133384220927,1.1016665274208006,1.4092706864371678,1.6508975682628835,1.259294861846182,1.312787118677958,1.0548890053159263,1.4561606309488868,0.8513099426268039,0.9332698215478987,1.157088304765499,1.0383224372130175,2.0863567933459004,1.3639471341693252,1.9591665690343487,1.4225995255736634,1.4390734506895844,1.4922565461662585,1.3429608007038347,1.0822340867118816,0.9431387875398385,1.0505734209957014,0.8141858058667603,0.8388353002629145,0.7002160303383106,0.9810697444753798,0.7200818142152471,0.7278767887609443,0.8746834236598587,0.6105207379692175,0.8985550956088693,1.0730207244497438,1.3368984314255532,1.6469587988062961,1.9580094828903252,2.0206386139264,1.6308305924298123,1.803521090807877,2.1349946082177835,1.9471332163733874,1.7819476894647994,2.197660639752806,2.342642630492506,1.968726275923735,2.0566857596074892,2.363514591887482,2.274940031807628,1.990874902388733,2.060311302132485,1.735385710450175,1.7659213519691188,1.6813186103790518,1.5545375517913882,1.4295693001057033,1.2281670695765334,1.1807306003724765,1.0264940423080398,0.9579193967868662,0.7483248074918983,0.7588792179241364,0.767418660357199,0.6931816575970529,0.6615622650245527,0.6807386149062343,0.9688897213389636,0.8698545323377386,0.9126996090950218,1.2498726424085167,1.4306688974282913,1.0814724241456721,0.9479669975200217,0.7556447157027854,0.7660421565161724,1.0050854979424182,0.9039384687099161,1.068504059457862,1.035505137778062,0.7372261755237736,0.6495650875560495,0.504141024724695,0.5782465978781807,1.2659541059212616,0.5716707122683781,0.8396077399026718,1.786964643237232,0.5997391820396006,0.9358846019621117,1.1901039735561056,0.802828793235629,2.202268802808726,2.3468317316070357,1.674074310378869,1.8204042912216278,1.841134602784126,3.977103697300655],[2.0296647196665285,0.9431936919473394,0.5638712457297649,0.34590229179696064,0.42738484847510544,0.4261216504577356,0.35739187665833444,0.4091780465486591,0.369606708347549,0.3538024108666031,0.4050890433109267,0.5254104980990104,0.43214049053473014,0.439041932488834,0.6094421922324141,0.5761302660204873,0.6222849087509775,0.7301795272015076,0.8781558067378521,0.8149171563693866,0.9360593555574668,0.9087710415993006,1.143487928828887,1.3364352484824014,0.9069421914490589,0.9112944584703351,0.7798817366974761,0.6742176069447398,0.633251008095155,0.5950326174980834,0.7063700869708899,0.6224064383572612,0.8238479423790505,0.7837354861302654,0.6685068487809717,0.666168453736509,0.6136349179502034,0.6549384638122842,0.625079220029739,0.6224740341209886,0.7659505270210415,0.8281836778048995,0.8040195794582325,0.9262700780238063,1.388732217484064,1.587176711522389,1.6995464640726516,1.202021973732079,2.1355999307919347,1.742403058942593,1.2236556810199575,1.3264185565418212,1.0027513618511334,1.0016848140852312,1.0670210703155665,0.8095961946890788,0.8450297887404739,0.8322102448425629,0.9475071733539816,1.1424301500053693,0.9663342773935378,1.0010280690172266,0.9559150321095012,1.2445918431033902,0.9871827524945576,0.8928022461804217,1.1365932127517153,0.963948100381644,1.1806322518670531,0.9660192003289559,1.243304832135488,1.6144749459073895,1.1328041158310644,1.3318612961589655,0.9498151160227831,1.3881206748573967,0.9114243553331118,0.8525156636538006,0.7869616157242099,0.7604408907745657,0.7128415188841709,0.6827023973163139,0.8416142593654313,0.6700662703044359,0.5784793027408559,0.5964421774351586,0.6404319687560694,0.7051958843037761,0.7042241195580821,0.8208067081739003,0.8284523971731691,0.8852766728832077,0.8102371595102262,0.7901361012706749,0.7030087610136047,0.7773513158947337,0.7286069905166105,0.6681090563076857,0.6285868556530152,0.9548852139978765,0.6446369651601744,0.7301086717160645,0.5868683645361014,0.58807987234244,0.5482308733092207,0.49212997824569965,0.7307411484359077,0.5381092300651107,0.5473695581344376,0.7034999353364129,0.48745896469551137,0.40200610279190285,0.38029803704704185,0.4240980464958288,0.46684401325526326,0.5306963835083183,0.6862586522163981,0.8265869905660856,0.9736592070749058,0.8843339902346568,0.8009081516207509,0.7020946195190516,0.6928135683331903,0.43377545715249277,0.39254763239170837,0.3962682116287607,0.4832760518472628,0.3967258091284435,0.400403021374297,0.46193274339122703,0.6380932900372308,0.5567135767547382,0.46007248628344055,0.7230241967708145,0.4865602120735744,0.5024272176452955,0.5837702857396553,0.590523505970397,1.0409679957496865,0.6399460753645569,1.6957926866393633,1.2502780627895222,0.8361212893048762,0.7642411076087481,0.6447607559477325,0.5970681209691703,0.5356187412179092,0.4863041295746506,0.4666742810174514,0.45310902762754457,0.5284354338388159,0.662767261961728,1.0658208722669538,1.7220461263655429,1.3105587806927304,0.8440796180404202,0.5784699106474308,0.573129414456879,0.5268064741042421,0.49237434967037935,0.4956903308789497,0.5356821760498686,0.5416531765644457,0.5525362957934735,0.5831963060979167,0.7358033103830564,0.6386722280479569,0.7795237785813915,0.7326568521567192,0.7977945568028519,0.6119721380173332,0.592090044958217,0.5384798782427297,0.5174304537043416,0.5122581617320499,0.532118059458002,0.5740784512063786,0.8127985549506763,0.6100411043050838,0.6128671211546695,0.5241552695889067,0.4835598447964988,0.5212792913391407,0.5490245885133305,0.6180295813816884,0.6542109740913242,0.6380961806592664,1.2523255277724643,1.5746860186570424,1.068995470562067,1.4426086297693208,1.4490690826529868,0.9637741952670786,0.8624853978180725,0.6909115330059763,0.6920453910121828,0.8573610280531597,0.6964645573973758,0.6192221307556481,1.0439403643857657,0.9768709860528759,1.2774640715944625,1.0106355797393336,0.8521434437541358,1.220385175261259,1.3220728651198228,1.0148014124809326,1.0761379523628765,1.6045926013351326,1.3077524061710721,1.1415371383639394,1.4715368933067916,1.6843248035316016,1.2737676963009463,1.3606554594719333,1.1077765308546303,1.5457516986695998,0.9109479142257411,1.0039397725791903,1.2566316119657774,1.138712515398371,2.1574159425186323,1.4707316263872046,2.0997104357091705,1.5479470276291398,1.5779077203682081,1.6127900297589062,1.4737580980066767,1.2115951588094724,1.0309700575937122,1.142910998294991,0.8904852471398842,0.901483445305975,0.7590309146487537,1.0159941231888194,0.7120806775341515,0.734214426017582,0.847263963749782,0.6302438351146312,0.9402491008525198,1.1345241644703878,1.417423873145182,1.714263333342775,2.060736985612321,2.084730025637394,1.6990331476995404,1.9005315162992802,2.2182126678575984,1.9951833381680126,1.854565836524773,2.2912538346138565,2.4177081775335214,2.032748974587601,2.1605943305219926,2.474657281690539,2.3501543301134196,2.089364011166687,2.1912933128537557,1.8531812783959527,1.8959354992185087,1.7932115206094945,1.6846759814227656,1.564295571361477,1.3229774256712608,1.2801896593552216,1.1411103409497916,1.0544469904719707,0.8181120816177463,0.8478793922501751,0.846217112659463,0.7311912347425251,0.6814440612565347,0.7005590707467928,1.0027808146378856,0.8653478929895223,0.9165055113211309,1.2232033304770722,1.420913190107713,1.1294905881210524,0.9785881937722366,0.7922597225776571,0.7940051190396481,1.0244829226253007,0.925954389089872,1.0724603480788186,1.0325925444478081,0.7688997949794497,0.6316945036324786,0.4942803796411984,0.5542730774983228,1.2415023007049648,0.5682284763589461,0.8749109101187326,1.797499821809273,0.5908317125526394,0.9668298017094755,1.1887464408842818,0.7233665092541239,2.2053335199211292,2.38433106829121,1.6135637369498563,1.8737477292986453,1.79542036178864,3.93338966655345],[1.9605893736544708,0.9054627950589699,0.5308512668924055,0.3406208108035766,0.4319929052469103,0.3644448876771775,0.29384673298535946,0.3231750650740831,0.2890497936768486,0.3034349123814329,0.34841419059512735,0.459198167220399,0.3627989264742709,0.3936120478438557,0.5592574736893846,0.5075193205042313,0.557967705433157,0.646320824767369,0.7618162590638847,0.7094701226726461,0.8052737208661506,0.7804328066922178,0.9914410749675678,1.1776016749174334,0.7947800969637813,0.7946817500236766,0.6801191294556796,0.591718872828197,0.5560487553144335,0.5210743011790384,0.6359881245237876,0.5350096049762268,0.7153678036768313,0.6868402786619472,0.5727744967647128,0.578995614088769,0.5223533112290497,0.5649397992826086,0.5356991455989513,0.5219756804026897,0.6636550066747118,0.7244853870893098,0.7050551912443087,0.84824282795044,1.3116511906883395,1.5738869698394082,1.6635424090308015,1.1035536006537379,2.1687916770175852,1.8164395300939764,1.1598839530642395,1.3349963507774534,0.9802123583735849,0.9596014758335436,1.0029690987490836,0.6927606221065097,0.7366396666179742,0.7321430021295622,0.8515114042888026,1.048346704972454,0.8588242246630573,0.8851712727400759,0.8427232307333538,1.1122397345618495,0.8569940959399623,0.7792878452286122,1.0245671188083922,0.8556788410535664,1.0664658717039743,0.8726797008235069,1.1287634949920817,1.4941648238620042,1.0442653785486853,1.231525405043657,0.8430013688579387,1.3203303908576967,0.7975730895101822,0.7580751068399907,0.6832739363253452,0.6627770986355526,0.6215961488649037,0.5872940670947118,0.7928424864485494,0.5853868144419053,0.4835137938435765,0.5031748673932777,0.5532851357808687,0.6134377265528721,0.6090879846931473,0.7109211154241614,0.7336319773581099,0.837326150771857,0.7359686676976505,0.697385405222379,0.6282642501194285,0.7047877971004711,0.6752046884635504,0.5614484757804932,0.5213145654148102,0.8301274702176122,0.5289443156533674,0.629998353633044,0.47679222530504856,0.48457908587506876,0.45168399259857533,0.41937919591180395,0.64629137979558,0.45317658510097886,0.4781975152796097,0.6187858608413499,0.41777850237371855,0.31500011322124044,0.2998199809722259,0.38755421247541366,0.422563395766131,0.4807687242935633,0.6123880358959842,0.7379118195965715,0.870664639357072,0.7986687707057919,0.7159810800282491,0.6267122431404887,0.6289971191755525,0.3997262035937118,0.3548064007581722,0.35559433261959145,0.41564197585658635,0.35672509852880896,0.34616151728695177,0.4148300831172957,0.5986782474084424,0.5238149306564698,0.4238885585913248,0.6571888232189491,0.45343105476487044,0.48521859454947935,0.6124482441375395,0.5153560694666229,1.00606719139216,0.569426578099012,1.6084758209322745,1.1730436934280526,0.7296263113814846,0.6689827004099506,0.558084347163186,0.5224963919125718,0.46644807952181194,0.42509857830650255,0.3879532447753026,0.38211418173401424,0.4433457118859059,0.5665001048097943,0.9640486831106141,1.6026030685574677,1.1865701273316909,0.7120827415275037,0.47386781705049247,0.476241318727837,0.4295505430311549,0.4168747645035695,0.42181493236516937,0.4675745465116064,0.4602075983082586,0.46550850253016895,0.520030320208988,0.6661759631494497,0.5745752991219752,0.7174415304970392,0.6831666694181363,0.7358325619071514,0.5616223549250524,0.5216453463281183,0.4759969142514886,0.4414370996857382,0.4249730211313223,0.4310918660512935,0.48124951170238356,0.722197686037329,0.5113873580893442,0.5348022321787028,0.43649693760971386,0.4147721871697771,0.4586920422570653,0.5038715113859792,0.5827769906184979,0.596058015426028,0.5533815016767397,1.156744583520571,1.530807193025996,1.0464019240219384,1.4124868345609545,1.391106410516599,0.938937320665031,0.8532635488332746,0.6732415275602597,0.6879560076086616,0.8443338746351609,0.6825020778639298,0.6037437781277658,1.035181509713537,0.9280468986499828,1.2247934322892848,0.9753507452285658,0.8073651912012962,1.1560929480055686,1.2715186792332343,0.9840138431525923,1.0208152256677827,1.5396415866055395,1.2669140052723962,1.0944282807992918,1.411754082142433,1.6371012957158892,1.2454431615989547,1.3158557245769604,1.0575307689070093,1.4837420149445002,0.8721157533613312,0.9538798505988606,1.1927253580560915,1.0821526022008234,2.092850950488148,1.4000910192518379,1.9997143977334386,1.4510672866337162,1.4706664603037438,1.5095682952832399,1.3567057034840835,1.1196283332364299,0.9513038488172963,1.0663850037157039,0.8246887691237208,0.8675382617256572,0.7219196116973688,0.9810993996796583,0.7240290188938412,0.723964703094155,0.8436007980555116,0.5973566892640273,0.9006719999376266,1.065243850310127,1.3385953755694313,1.6251614247499817,1.952361015757894,1.9926243672360313,1.62930762115749,1.807742506470756,2.1153009119260924,1.9187542758206773,1.7731207004470102,2.1935607727386888,2.330034933941589,1.9617931192576366,2.0686832122610603,2.3767696132192677,2.2744201699117896,2.0082840571086646,2.095396327876919,1.7666806068583474,1.7957069594934487,1.7012169755773496,1.580128219664023,1.4686621994959996,1.249499648131897,1.1986878330366313,1.0621653606471866,0.9852543423424192,0.7551791786395848,0.775535389469324,0.7997499482119512,0.6864710605597683,0.6586871664684066,0.681789063773572,0.9925234032246564,0.8563144912350944,0.9079394155914947,1.2173418654921249,1.409682116243579,1.1314966767027348,0.9695993255217853,0.7655601987848072,0.759508492338383,1.0084668385501814,0.9147400964688204,1.0737100759163138,1.0243209685935037,0.7481450479264937,0.6077406937522701,0.46866119039086723,0.5270379197139939,1.203781086842006,0.5705625278843327,0.8762435931170033,1.9067275233580734,0.6246235080718702,0.9922231755477335,1.2173834686931233,0.7332431916967016,2.2186310850132993,2.3007940968508223,1.5664541955308766,1.8743620132181287,1.7302052546391022,3.6849668648393927],[2.07278837072503,0.9760412106234239,0.6138494375856888,0.35842952933560956,0.43572221270028766,0.3955181019243967,0.30304912142000506,0.32482618320978796,0.28982938677367853,0.30324901229875706,0.3677232592069843,0.4861854643180497,0.37764196387057286,0.4021196648851058,0.5888296346935433,0.5180835385992476,0.5565177827233595,0.6376863420821504,0.7284215599704857,0.6905685962794862,0.7636673615332107,0.7382118683830362,0.915569521466414,1.075314910559145,0.7361456411787132,0.734119343158365,0.627759424233513,0.5555773950138797,0.5390574468559487,0.511406925046232,0.6378896946215264,0.5447840450334367,0.675472749033091,0.6637082789479261,0.5654121624244522,0.5726595414047151,0.5254187064560302,0.5392023843146606,0.5038984004932231,0.48623491423646525,0.6361486187407377,0.6801903760205384,0.6719338894097306,0.7676455927192961,1.2061067320672727,1.5258918090988456,1.5566614003644004,0.9902631685250358,2.211713837082092,1.8704130606455776,1.0849258255882617,1.3532321008351529,0.9930580045055732,0.8753284227329922,1.0207942851053597,0.6758615541616627,0.681629649684126,0.719666639668251,0.8517713253170367,1.003296126382039,0.8122218708044299,0.856860386285179,0.8148686942692972,1.0966264541696225,0.8139524980977054,0.7349969731968241,1.00508276474288,0.8494698333871511,1.0411094535226182,0.8809283021600499,1.1262777444026104,1.487950767140761,1.056893788193071,1.1947890664362442,0.8320989906138767,1.2578875483847822,0.781388286854057,0.7418231630216516,0.6675705727329015,0.6453642573705671,0.6270367273130975,0.5958885505204878,0.7830113436382632,0.6041458772278079,0.469838365628586,0.49395431076389784,0.5419064251577395,0.605292113818677,0.5965295697657942,0.6883972787870236,0.7312419624709148,0.8151096624348103,0.7216210714547734,0.6658804429363028,0.6269737705663436,0.6980871219679264,0.7378250332753117,0.5652764143861794,0.5297394741325588,0.7916536545121262,0.5378159781618272,0.6478444623348515,0.4987597322367743,0.5296205726091676,0.48657248385066754,0.4458819688500703,0.7189549567627744,0.48256931120053026,0.49582863349539763,0.6407381549886269,0.4393149099045736,0.32506123238620294,0.29588950069978504,0.36102164237530193,0.40277845104326565,0.4295761772588009,0.577848829644345,0.6935325442872544,0.7976532814809697,0.7737756050199602,0.6668188196250125,0.5847400855426603,0.5643512896191469,0.3528122035843659,0.3230289687948938,0.33432423233334324,0.43064155014880157,0.3556371524686718,0.35139350634172334,0.4327476873485774,0.605822949757583,0.5581474694932671,0.42666213145966286,0.6662973433395454,0.42156173955575293,0.45054017824343456,0.618784359368509,0.5110911515014956,1.0473987708495465,0.4996799972636275,1.5263858753440962,1.0660297023008931,0.6528121577761938,0.5878851420958964,0.5006566821734715,0.49337898046430595,0.4272613090581418,0.4228846436927788,0.38277726704879284,0.38666534157339316,0.47456361014445836,0.5635721625733232,0.9729627403954552,1.5516693786732298,1.089800268445114,0.7018656146277631,0.49143156805159466,0.5044774405013038,0.4406424087698822,0.4331759413169716,0.402740828472782,0.4479601664137127,0.4296678780751884,0.44102026713155007,0.4770628493247616,0.6247910010854533,0.5352415663477319,0.662479014913987,0.6535975638748243,0.7079977302271184,0.533170248941204,0.490707329613653,0.43519714227965045,0.4289196894141105,0.4258992447605371,0.44572711879954424,0.49519210380050627,0.7314793559114245,0.5161778584890445,0.5536424916634289,0.42916703218685454,0.4181998606810579,0.44619730491390475,0.4801685944820691,0.5537024914062666,0.5774478134620089,0.5341468010003854,1.1244867732862198,1.478624593323161,1.0364166034542408,1.3279864914164543,1.3140846089226246,0.8843251329403956,0.8108780807095022,0.6480054656383717,0.6797308930089572,0.8429178800419492,0.7077241657523655,0.627693902294108,1.0363262143028513,0.9738875952792767,1.2465800036803296,0.9857680110706909,0.8540289152180397,1.2080181768892875,1.2924252256770363,1.0185192631107238,1.0802147119182657,1.581442298254016,1.2889917614882793,1.1480859877594247,1.46289858698892,1.6583492406820548,1.2805500961764762,1.3793017366858122,1.1414124031989523,1.5609320452169198,0.9787422548163344,1.0476414854999776,1.2845080650827334,1.1715130160936185,2.179219048028251,1.4978326421310226,2.1004301365835727,1.5478202577773192,1.5704364923414604,1.5926441097777262,1.456650139225514,1.2323419948871768,1.0432324594732072,1.1584579587530002,0.916904246162743,0.9365254674690537,0.794941832427728,1.0245054632806978,0.749485223566714,0.764291237176735,0.8426518544115769,0.6484735790552097,0.9613459333624041,1.1284853761011358,1.3996849714640536,1.6610461702784904,1.9940503959116966,2.0153396735824574,1.668411717251824,1.8508971555906102,2.136007179647699,1.9309342727978687,1.8056880684245498,2.222824016938944,2.3458462961726827,1.9859529033779704,2.109423698179914,2.406731263537464,2.2957170150757054,2.051399367066466,2.148795078493051,1.8289712321110705,1.862301766130929,1.762845168224582,1.6602951011613187,1.5561784900213895,1.3239487637842973,1.2862649917530704,1.1681423733580876,1.0889452382027573,0.848931707354735,0.8903610009969233,0.9032425337468399,0.7768004215798449,0.7167357915813024,0.7571992893848817,1.0607440181777203,0.911249564960913,0.9681702189833561,1.2200241690472444,1.4271631192022889,1.2112410553137063,1.0639231307161157,0.8569663695004565,0.8440340329851367,1.1132494327979219,0.979897970024406,1.1047828792600778,1.0423080866634467,0.7913846930598908,0.6083160293312758,0.47316897224569726,0.5057823684536288,1.1921379182190142,0.5678796752308221,0.8872720848524118,1.911913831121014,0.6202428496804884,0.997770704517123,1.2149988123730728,0.6761523058643762,2.189196026669695,2.2942434311058615,1.535301486841602,1.8900403413410625,1.6835118781363267,3.484682625110922],[1.8098572719174333,0.8303841588539118,0.4874566926255426,0.3693328277549723,0.4973267141218719,0.36015169988902074,0.3122244019412946,0.3353163884209958,0.3024249693197804,0.30756764959128924,0.36336977490027794,0.4730809850827921,0.3669629576000154,0.3943049355319656,0.5266589078995525,0.46074053630153256,0.5363223660597439,0.578563845939414,0.6805761263791764,0.6419227921512151,0.7086226917726908,0.6963079309808572,0.8608662386044349,1.0196521993959375,0.726883010790668,0.7079691701294415,0.6152309088903375,0.5360400854087523,0.4961186220797104,0.4694621140451535,0.5714398386569554,0.49527728383038727,0.6275636108389645,0.6088610956709175,0.5074364823565533,0.5204284649097737,0.47094919955325487,0.4993208132763219,0.4796794241576314,0.46314327625388574,0.6155051228514679,0.6456643039748688,0.6298093935418955,0.7822829340597764,1.2219351168629127,1.5390682398530768,1.6329696696641074,1.0135096256168419,2.1937362843415644,1.9174626692439503,1.1024990367960987,1.3541903709739054,0.9534580590152697,0.9128276318266336,0.9433880012108224,0.6134669874616294,0.6608523140186798,0.6678912270738002,0.7826497340458687,1.0011905531864764,0.7714914241566142,0.7904254347826619,0.7393846544742042,1.002749218498328,0.767808434504914,0.6836826070670823,0.9392653586381847,0.7613701428035511,0.9872522519775137,0.7973954452448746,1.03624928332491,1.3560038764001907,0.9495287608044443,1.1322165155675523,0.7491623619101858,1.2377885287660433,0.7063070338105136,0.6681215995782299,0.5980440149097129,0.5899017347154589,0.5655545489400884,0.5504055247165887,0.7594209974877647,0.5460380651025503,0.44199236856007645,0.45909717321538207,0.4931058106284121,0.5463243045863997,0.5402898479076589,0.6293182778886978,0.6564403202516592,0.7695755222624421,0.6658881217092628,0.6071254553679123,0.562398021991399,0.6402899202416259,0.6263073369107274,0.5297101863475039,0.5013931661638418,0.7600326181751633,0.5047516023171575,0.6226284240403531,0.4528952256229204,0.49708120642527787,0.4643968911116546,0.46657295980306934,0.6510166841465205,0.47216527559606547,0.4977559406438147,0.6152597299861012,0.44649628568009225,0.3405542722584735,0.3195121142420589,0.39445949159348304,0.4200996275746274,0.45379370138742303,0.5684566676974252,0.7075718574384213,0.776042124110316,0.7342181332766475,0.6484498532675709,0.5890018145535695,0.5826486157289932,0.3911273001832726,0.3697834182909432,0.38199161136060694,0.4217228106879077,0.39642270107387667,0.3799067128486672,0.4624795369877785,0.6050951621197161,0.559386098713619,0.48025988070162906,0.6724634485813892,0.49094372179012963,0.5370898145690143,0.6656697012730375,0.47244461231840024,0.9695378919659717,0.520945266907591,1.5143627600006313,1.1375658453827107,0.6560049071803589,0.607756359578103,0.5116817335213931,0.48083628531788153,0.4311351393171317,0.4242661741054847,0.3868309712473349,0.4119607840612475,0.4887365236399013,0.5498255627132616,0.9064718596069052,1.489010429301028,1.0963372711672377,0.664747878975319,0.45980227591922407,0.48127302655442666,0.41268469050418255,0.4282907667355849,0.4177363753661456,0.44326633346001865,0.4175078571090964,0.42214846009996043,0.49510751635377015,0.6477540562866178,0.5638368041798086,0.7208227886078145,0.696515628980516,0.7297773380405171,0.5583216868012113,0.49433358387423443,0.46606798965195545,0.4342328446848814,0.4107457324412838,0.42247641712623446,0.4618144098040018,0.6936145557135063,0.47251867859019864,0.5145898615770498,0.4244401684412341,0.4402973024266388,0.485609490396022,0.5290566729157712,0.6024048367081395,0.6212280747174296,0.5580774090082177,1.1339690310198796,1.4995008946128112,1.0939542376752125,1.4102911830049967,1.3502999526434272,0.9794920639464719,0.9029309774528034,0.7100761233224934,0.7410842498957086,0.8687694363712484,0.6981605160523685,0.6163711453813303,1.0327177927290228,0.8837623455583618,1.1819882584778783,0.9606336486967528,0.7806593961237357,1.0964860627146455,1.234957029789944,0.9677982493305557,0.9788520672126941,1.4737402276930744,1.2479181438750675,1.0638763454982334,1.3604119455981682,1.6097153448521848,1.2252011465484256,1.282443853391718,1.0185900208768042,1.4198446295630578,0.8477585634349489,0.9152715948551113,1.1196718892277184,1.01251052676522,1.966687095897387,1.2945617745192342,1.8813927907239403,1.3218678643976636,1.331093964592435,1.391540325247851,1.2233957623999208,1.0113278279038678,0.8713723578376882,0.9812376558173972,0.7884710748678818,0.8662651262929593,0.6979205426094924,0.9324752276264162,0.776044274298756,0.7492027509997228,0.8820876599779952,0.584640303416448,0.8691774854241483,0.9987369676113199,1.2561557617642256,1.529675550209818,1.8299467855910416,1.8820496635346158,1.5544951797016233,1.6948365730577981,1.9977045563207336,1.8405604920457364,1.6913614276414954,2.080758902316409,2.231851974329042,1.8928868813214335,1.9622786732267372,2.2631701358243275,2.1988381867187443,1.9168661143253138,1.9794865247640723,1.6636931831338546,1.6741483941610504,1.5902736593870217,1.4502605428463728,1.3521332436502291,1.1704583797275134,1.1115290206642092,0.9742432439911114,0.9155839692412799,0.7102225440798846,0.7201169286470586,0.7869342406519456,0.6857266046728253,0.6759682969151583,0.6901125361626161,1.020286241446697,0.8947333007116994,0.9325437956668384,1.2519620311185649,1.4301922200054868,1.1545240056517283,0.9814804642742746,0.7529545529676704,0.7503871936901635,1.010297895683291,0.9236615047547336,1.103260143268666,1.0341113638061274,0.73987783075784,0.6050241260183071,0.4804027717007783,0.5318089158186908,1.1775283472202949,0.6417019281878217,0.9178770321666738,2.041602553738756,0.734083408457383,1.0656945315450996,1.319828847240503,0.7986907961454786,2.1681930427826295,2.1405727432625263,1.5044729822893286,1.8322738276180464,1.6071188055488579,3.2726897140643643],[2.0173607880707856,0.9887563709752812,0.6680045527949597,0.44433307964187807,0.5448579642140187,0.4405208751259783,0.360726140589434,0.38734227937925836,0.35808752639764907,0.3472066775068759,0.4258337119278859,0.5426812232581848,0.4218473984968778,0.4178734377715893,0.597142202140546,0.5319245939492774,0.5541322015376386,0.5956046234354407,0.6462976190066783,0.6239625464788221,0.6693237386181128,0.660774613262363,0.7765790401003756,0.9089307063179884,0.6828172738246949,0.6468902424529873,0.5851492593549479,0.5280858731921224,0.5112958045684084,0.49830589268088876,0.6278310936937934,0.5636732377715447,0.6683167832904562,0.6558390721617089,0.5708533302807689,0.5525450803087656,0.5099598960569397,0.5028390840239899,0.4718436380651083,0.4604455161170346,0.5969942123534967,0.6013842442649987,0.6086890453832643,0.6980401004874235,1.098694471169575,1.5216049240006349,1.5402630764081766,0.9030783932706804,2.2604414036240907,2.0114900787856524,1.0356327772836804,1.400415806831188,1.00275850935816,0.8224610848680082,1.0071162239890845,0.6363223219772329,0.6188868636424212,0.6738424471412432,0.8082611548154471,0.9518924585057627,0.731885541299631,0.7783185164773484,0.7486828340836563,1.0024850506455705,0.7301486254190698,0.6519578480450524,0.9109684507230029,0.7694773131717392,0.9711313848997176,0.8249697331568022,1.0533860127571257,1.3901078701742842,0.9943101179328346,1.1051802597191283,0.7872406856864196,1.2029030840636632,0.7287998405190308,0.7087707150908036,0.6274854020562984,0.6165871841958446,0.6176489645368316,0.5793846796491472,0.7934666174470247,0.6183462132481936,0.4643665006531619,0.49298622142570264,0.5232873428177669,0.604991790592409,0.5643934051607368,0.6535669498909208,0.7011593537166292,0.8172005613777752,0.7224537123023823,0.658949724607182,0.6308650716235412,0.7000037214638029,0.7592946637190474,0.5960102262280299,0.5833664234896357,0.769430225837323,0.587809240060359,0.7221567945599234,0.5397748867524859,0.6065669137242077,0.5466596544836634,0.5506922927489037,0.7607702582949978,0.5613742227249472,0.5875532412261553,0.6532009046095638,0.5103711711414405,0.3928535466237646,0.3511985746806254,0.3884362685568623,0.4183340634734124,0.43122618825155407,0.5585593418531468,0.7424762975578001,0.6848889575917967,0.7102020206170104,0.6001621662409194,0.5441896826637166,0.5206132915264453,0.37404308400859837,0.36349927900451606,0.37202709925246064,0.4627011828301131,0.4198455049125728,0.424288574369897,0.5109066491722404,0.6360008387285662,0.639172353401068,0.5044371505207556,0.6730354192066208,0.4670483480357023,0.4861562033495888,0.6724811270285654,0.4873291252468288,1.085778210574047,0.47423334896426944,1.3569445572746273,1.002955859772667,0.627525893964421,0.5274975511279111,0.47433052054183805,0.470331962641526,0.4210313994272674,0.44608899245614214,0.40804627794371146,0.43565145691276064,0.5491954342668882,0.5910955859118029,0.9513500650480016,1.3660612737254252,0.9415081749430205,0.7008385556552124,0.5494592642169968,0.5703093082681054,0.4833977531947086,0.4923447272138545,0.4189600692106412,0.4426416437148972,0.41695063934179033,0.4196757374600897,0.4754979287395255,0.612999635330602,0.5146332037713537,0.6396997621277748,0.6651175389727089,0.6928414457151179,0.5379994922301519,0.4859594347440757,0.43376476121693713,0.43153377915723873,0.4230077551077845,0.4878087706454697,0.5160458474706553,0.7539181892914272,0.49818647861482346,0.5739713399015758,0.43949378650644155,0.48935289793333964,0.5154996172845902,0.5351999156472633,0.5763726165304713,0.6026195103956057,0.5470425657314174,1.052774384677231,1.4498904393666177,1.0913738411072675,1.293313712659837,1.2403992357095306,0.9099495388502703,0.8539051286107621,0.6807253683502531,0.7482698928723692,0.881480332709492,0.7546780805009691,0.6902350846112633,1.0790311309032568,1.0061089149099955,1.257314757788689,1.015014061866728,0.9017635613154873,1.2257054496820803,1.305506819080958,1.0462524222851015,1.117717059781183,1.5863442281024813,1.316486112608398,1.1890317227859353,1.4889895606554293,1.6767504298434295,1.3020677052517844,1.4167379720186692,1.1787765928766627,1.6005308515749732,1.047854382086885,1.1061745562772034,1.3303896644309974,1.2238275488318657,2.126888034089213,1.5093278292066583,2.0948800819118567,1.5457384032869956,1.552840640457343,1.5643069131051477,1.4223982455197726,1.2496943689302056,1.0720215257361296,1.1651133553659248,0.9608419230378342,1.0106136525386304,0.853457966265697,1.0336494282345492,0.85567486579644,0.8368513148177014,0.8757763140689296,0.7162538032642629,1.0015768125177418,1.1353814928540107,1.3850383028501767,1.612385601785235,1.9354492750646677,1.942985924075794,1.6483863330071007,1.8107445303854997,2.072842777135288,1.8842579584717176,1.777431827727832,2.1612036070158167,2.2827863018987262,1.9683386291364164,2.07787432271908,2.3595620192169693,2.2690964095555044,2.0373213109858384,2.1260138599558616,1.824791252902509,1.841876235220503,1.7409590157923067,1.6363903924446273,1.5609435011848172,1.3419296534807383,1.2997485683336696,1.2075240197916652,1.137045159425096,0.9046844492655747,0.9515391522546007,0.9906025326029614,0.8632324442257963,0.8096097469427032,0.8531761641608262,1.1650420479652912,0.9999086358084633,1.0376558241311895,1.258264024978835,1.4316844732309613,1.2953423727847146,1.1177709524968311,0.913242829748431,0.8920058299611552,1.1438406083418482,1.0224877044187577,1.1450462281457383,1.078526094193142,0.8518272264421692,0.646812568589252,0.5268298215490832,0.5486600567413175,1.190488478505631,0.7320912969186198,1.0242595485646155,2.081569139334417,0.8379905953256955,1.1668327792796296,1.3677246677277248,0.7229582930853716,2.078721985591554,2.059205405557187,1.4039743939522418,1.8851565747152543,1.5707002752196377,2.837526527547231],[1.956326874679756,0.9432544353836096,0.6276906164137608,0.3893591321397455,0.5172249114066343,0.3592248840680506,0.29982975045499277,0.3917795719864232,0.3542618151659169,0.3346583561113691,0.4304733004000641,0.5859757480516656,0.42080352296751744,0.39154858494450123,0.5709565022577036,0.5218898379658239,0.5037189156777074,0.5347533298935113,0.566893513549129,0.5533289766174804,0.5791572168169198,0.5798620794166472,0.6851699350557728,0.8206301605228438,0.6054976857165593,0.5520944027488569,0.4897356945682205,0.4381185097191547,0.45581426503996414,0.48013176515814926,0.6083143211376378,0.579925992466222,0.6961307395940189,0.6658240298476832,0.5717207775647888,0.5264103554335422,0.49170717516197165,0.4566161013282421,0.41547398483066583,0.4025675993869107,0.5531052083686698,0.544895274216068,0.5433149490457639,0.651229469501704,1.0810828741616316,1.5654334195033597,1.5946632299148336,0.8851821235572387,2.3111641284525275,2.10261538798258,0.998184105406043,1.4466893532458016,0.9861128844167089,0.793407061434239,1.005355585360184,0.6004104903086575,0.561209656307723,0.63692175503554,0.7691611060137502,0.8921805403887871,0.680088540433693,0.729280066340138,0.7002953868817171,0.9210298684101721,0.6541021751869184,0.5873910876419492,0.8492721946016499,0.7119060709981769,0.8798198388011111,0.7663457527204857,0.9833373447337526,1.321817050004043,0.9501685820069449,1.0461323134568656,0.7318483002234426,1.1585235384246484,0.6714673594028523,0.6702357038054718,0.5967780838947275,0.5689529812916096,0.5896217643723706,0.5535648378704001,0.8052998984601805,0.619970051337501,0.44949254704556046,0.46661441199227477,0.4737496299720034,0.5881058047636654,0.530370913239539,0.6537410909180779,0.6844884529609263,0.7975185213613376,0.6947120643293277,0.6591185919242473,0.6354002951955658,0.7082254090568504,0.7744351280954481,0.6370845026897219,0.6359704499233075,0.8183277919904073,0.6491688550602674,0.7604982512504265,0.5686455469144793,0.6206674740009046,0.5525753163605825,0.5442882058474816,0.7721058971208592,0.5368870210607494,0.5544017810088501,0.6408114887253412,0.4858186709494569,0.37020842361782547,0.3240675181752957,0.3575354645352215,0.384245472013302,0.37420046435672816,0.4885944385841016,0.8030437249805784,0.6032757256062153,0.6349168548718693,0.5241553590715576,0.4703092223627066,0.4877046738991909,0.33487193917962815,0.3198986152743148,0.3369065091472199,0.3920918279858658,0.39390313175232167,0.37722525197480017,0.4672594554642461,0.581094303426118,0.6160197112604283,0.46785459115111305,0.6320559318717247,0.4138509821070694,0.46294352997122995,0.6712642020271156,0.42153567496430205,1.056839327926855,0.4217234917460022,1.2288307599351143,0.9215604320755775,0.562601483466546,0.4502911093634371,0.4070879029595611,0.4167682148419039,0.3670512790585609,0.4097712875472545,0.3907182296521978,0.445522224407412,0.5642693924282219,0.592683809940216,0.9191291428108376,1.2564491238895887,0.9153864501322589,0.7227268680426118,0.5828369705703218,0.5942761952980418,0.5003961970188414,0.486925585877576,0.4025794914991996,0.4049802058227004,0.3652429600807321,0.37498844733131503,0.42544558431193397,0.5800211825605308,0.4622757958772689,0.6165324539341097,0.6502822248767378,0.665832117067464,0.4782162081746992,0.44701008684620885,0.38654376655842143,0.3943955212231106,0.4080753881082458,0.4827536728006209,0.5311360693122998,0.7679275933447975,0.5064586514222426,0.5629726907375943,0.4055828931280799,0.45944184191331916,0.4749866268508802,0.48218239271346386,0.530991907300321,0.563513728898665,0.5014335361888199,0.9841669636240381,1.4068709879111931,1.0598137550534783,1.2596999094595047,1.1788786412352683,0.906467103677134,0.8370114123798994,0.6521959930598259,0.7345050161000992,0.860675235237131,0.7379376288539065,0.6696524866787642,1.045179153069844,0.9602053129758709,1.1953155110067128,0.9653839515578595,0.8542578758326139,1.1692896403564508,1.2487802311533795,1.0089211501846518,1.0659015672699053,1.5284209595382723,1.266476913486709,1.1381581415497422,1.4411223467354657,1.6322214761180858,1.274812033879771,1.3882594941534754,1.145837941135901,1.550458219325853,1.026572502136833,1.0730680274965352,1.2948664110504333,1.2010448994851712,2.10493718821102,1.481207447657927,1.9999802950121899,1.4723014905440286,1.4733463036073355,1.4981369458017306,1.3621927367598987,1.1977967067956283,1.0200693875642215,1.1079827505542732,0.9134868953930058,0.9774833838824922,0.8260663106618055,0.9971912922546085,0.855178759352905,0.8191886885452381,0.853512757028469,0.6891662707308467,0.9736506192194508,1.0840888414821983,1.3187873179904812,1.535428067804603,1.8601632698692256,1.8482114265814962,1.5811414642905177,1.7304563561589872,1.9712252126539176,1.808017947511513,1.704014351555304,2.0722933530492407,2.192884153902152,1.8949615629953651,1.997474855611907,2.2670271250461322,2.1965552560450408,1.9662437927023833,2.052474058313923,1.7621606942911356,1.7674680668625358,1.6693560243064833,1.561294496197751,1.4974028602553646,1.2938106237778149,1.240500737195058,1.1620188009698211,1.0985908131588662,0.8684104080513658,0.9146417433186554,0.9798224945851499,0.8363575299156024,0.7906548552538859,0.8369270136355278,1.159135125610373,0.9871690104496581,1.0290614203789445,1.2400099452750148,1.4152596750970388,1.3028244308940744,1.1169301037831958,0.8952474185078519,0.8616769191913956,1.1484748429006963,1.029202338038208,1.1510757204034148,1.07662175137334,0.8395518108536038,0.6022059664186561,0.48286655600086165,0.48497646781647186,1.1313352791595959,0.7554953212283579,1.0326618887854917,2.117278704321813,0.9109017530083467,1.1985049129992889,1.3952177377191235,0.7147396087047388,1.8831127444112548,1.772760699279584,1.3372202924677934,1.9527951377260375,1.495382447739981,2.4033713768284826],[1.625530907022291,0.7898142723935607,0.60063513765796,0.44680836539044755,0.504252231329446,0.3983617086758213,0.30670261351990036,0.3798923149446559,0.3400909270876654,0.3094787801781534,0.4033795896375362,0.5469508145142709,0.38643674411091283,0.37210083503039765,0.5433785436581073,0.4780636888049299,0.48519777985470136,0.5202055826183599,0.5661669587758711,0.5468348581315168,0.5878472296774078,0.5846884802412732,0.7108493262255244,0.8568314989033562,0.6236598104082085,0.5719977891090788,0.5006319093163974,0.42440095471766864,0.4393385323913741,0.45291083086509715,0.578641729829316,0.5431038026125877,0.6773511541477972,0.6417606318461486,0.5397239597641849,0.49973393624820184,0.4648627624103811,0.43882871439715104,0.4005884158648484,0.38036176038756014,0.5602985114390018,0.547455067143703,0.5213161208792428,0.6891674913826825,1.1316831815041712,1.613180732744236,1.699928176771543,0.9539098788318611,2.342464068735015,2.156714383706295,1.0107470989542418,1.5145549043585926,0.9441747142297914,0.8182429021680219,0.9672029600795353,0.5630025843630682,0.5675697949734302,0.6030479710809382,0.7310113117984222,0.8990550144178182,0.6745708718307687,0.7340766042133681,0.6969009771307765,0.9227858289799524,0.6606480397833522,0.5928708677174584,0.850098048987523,0.7041684598700273,0.8773667120113837,0.7568568392780811,0.9737837530184019,1.3129835066197562,0.9403867614926409,1.0662358992373078,0.734820723365531,1.183552358466945,0.6696366825114275,0.656603963965389,0.5751353194158774,0.5420580126035872,0.5630271966498154,0.5208258212297071,0.7794184833928267,0.5949930139813097,0.4378915733987142,0.4463041909972888,0.45133586559389266,0.5619322125012914,0.5033941964156857,0.6447611580323928,0.6640490491574941,0.7953629127561129,0.683509544393658,0.6402794155559103,0.6056884362327403,0.6872723968100535,0.7280635907878008,0.6038028718784072,0.5990802827562827,0.7970965287654864,0.6091929571550343,0.7299946981809686,0.5359200324586919,0.5899976761395697,0.5376994221665238,0.5242335098639634,0.8009659528643339,0.5803428901403621,0.5978662796244769,0.6713223928169857,0.5279601942286707,0.3714011768029272,0.3092786659237538,0.34708663802228684,0.37125475424061555,0.3800534621966372,0.4667067988724082,0.8544653460592803,0.6334413738566556,0.6230070465268533,0.5321388635545119,0.4647450718693709,0.5398633688475369,0.36532570499787853,0.3311533660421303,0.35188998864878146,0.3587332233783067,0.37809434994897184,0.3989553353175635,0.4851241641342059,0.5455584357494531,0.5935363704778843,0.4613833048164804,0.6344101773281821,0.41052104014497637,0.4723947511755863,0.7020227977623797,0.45137107946022165,1.1157190313929701,0.4929568511052033,1.0985295668316464,0.9251478352906273,0.5919082311924039,0.4386831471321501,0.39129513556241874,0.4057448987660111,0.35677687312802453,0.3831030856614133,0.3494629583361507,0.4112453159339155,0.5385888969585144,0.5725389221056206,0.9198367887547163,1.2439548801182962,0.9026858735920245,0.7008076503738903,0.5447476574445826,0.5632228425098476,0.45918818360268954,0.44817203872713746,0.38745217191628806,0.3925155688405167,0.3861361208181209,0.3783251769948888,0.4513679623135729,0.5913950059356639,0.49616676295497236,0.669853722810712,0.7210040755100202,0.7117964133388566,0.5358052247792904,0.5029910285951005,0.41333670806004785,0.3864187215856416,0.3834179802052957,0.45469063891051886,0.50396642126326,0.7422533316065585,0.4859391683293582,0.5319481093096603,0.3934786746679373,0.42487202838792754,0.4448856871681095,0.46196370825022287,0.503741836262413,0.5261272580023535,0.4697135189510256,0.9210403321266566,1.382163614186887,1.0284427644074874,1.2729493247287555,1.1898404808980736,0.9172071012124703,0.8378733621684308,0.6681296854303025,0.7701394830969222,0.8288701062347713,0.785312568769445,0.7537244996573824,1.062222008156001,1.01094973113859,1.232470303414288,1.0086555683405474,0.9299029785561608,1.2298027558219118,1.2996231268097767,1.0663975033282416,1.1357414951789522,1.584940558441788,1.3321780008583683,1.2156802715188715,1.5176679954877572,1.6918466431672132,1.3352294101769033,1.4689622650907748,1.2225393607892805,1.6457134860701261,1.127674672241745,1.1759053286989372,1.3948679711612035,1.3185903640481154,2.042407992788801,1.5735249189971126,2.0423790664096866,1.489290241539237,1.5041909081532,1.5452483701750543,1.3867047966712331,1.258779246470384,1.0957866001516288,1.1712738453095874,1.0086776152358865,1.0775638248018187,0.9182510708525753,1.0081630339660939,0.9803177339780855,0.9013200860960732,0.8963684032916592,0.7700228801605496,1.0068903973906873,1.1171477802626888,1.3577036290252846,1.549863310243628,1.8988571078865668,1.8565975216699155,1.6092614552852718,1.770095227314479,1.9911021262117468,1.821870500916212,1.7343581306642808,2.0996326014175866,2.2087043984297487,1.9327067211767497,2.050908475335763,2.314638206098705,2.238519841629937,2.031454075732768,2.139241184466852,1.8497525811930335,1.8440873643376463,1.7225074113305596,1.6226174457663893,1.5827069784923724,1.3717714784301258,1.3105379974738367,1.2490780563407198,1.1912497168017488,0.9597169776994933,1.0099443833548942,1.0994508093446986,0.9348631443863039,0.9173226421474685,0.9603351901997303,1.2855505626645256,1.0946263892093038,1.1101006726167952,1.3210431268348006,1.4471944461138768,1.414288315677214,1.1635901856352704,0.9664830387274314,0.9329777254644287,1.132103123623697,1.062657278209185,1.1849632455620984,1.110279709586002,0.9073898195376897,0.6443541584261024,0.5375831232718744,0.48599925505711955,1.1658281687812082,0.8188429897089871,1.1238683079291594,2.109527174552711,0.9891924348614582,1.300294587981667,1.492236783473901,0.744393282284483,1.6279138919133238,1.571165679218432,1.3829931952751497,1.963983990859043,1.5154192798462893,2.334533102822169],[1.969214441782476,1.059454776821236,0.7885653550835017,0.5621780426438229,0.7521956421913265,0.49128841715586496,0.48967387954480457,0.5862823432807989,0.5131630165740988,0.4881720214107323,0.5472854383791542,0.6896733710344402,0.5593929220689373,0.5157924263608493,0.6697914789944927,0.6475038478509642,0.6104580734172967,0.6290977124920105,0.6405307504005231,0.636669754091294,0.6384264139096918,0.6398432477582123,0.709589350276163,0.79971312576388,0.6587550658143713,0.5947992851570629,0.5554371343911148,0.5363330941563189,0.5688184053154245,0.6082825133318865,0.7118141884627598,0.7057927435179332,0.7880565723935702,0.761815074945621,0.688192412862879,0.6442899804341867,0.6365309533358482,0.5622935231309636,0.5234703622603635,0.536134858205205,0.6327923960018056,0.6164420018127692,0.6358306245322887,0.6716578121393292,1.1062839627556045,1.6135875578013397,1.6383260200805108,0.8736540988046334,2.320746437160538,2.1910723807293433,1.0520617097883773,1.4576945786029454,1.049878051966078,0.7708689284641289,1.0844558556735744,0.6931026764558602,0.6331627328068169,0.7351966849228561,0.8540495111774274,0.9683842575056678,0.7674291628922789,0.7992596849224166,0.7845095407815773,0.9489492386928094,0.7178928931931486,0.6675352635201902,0.8948138622736997,0.7786733739794048,0.9201685886101022,0.8221283381388711,1.017803450059255,1.3346896512151836,0.9855014122716567,1.0539020606325138,0.7895159074743131,1.1766541559520403,0.7426586707859788,0.759716094984791,0.6990129098232825,0.679652122780562,0.7092994315834845,0.6739276434737989,0.8970271567649124,0.7503136358938058,0.5888314205571499,0.591699762603658,0.5864127132159181,0.7108364661908891,0.6415053385523978,0.7448109074616543,0.7701892146036343,0.8625414623814359,0.7716680825589328,0.7393648244002755,0.7227067677168577,0.7702515454519215,0.8681439000131504,0.7353824903923697,0.7535862108247775,0.9096519328333875,0.7920631633266507,0.9015545865394058,0.7412340533462395,0.7993936594911534,0.7484227735953016,0.7261755824466772,0.9561794511822188,0.6989562560646206,0.720543050939126,0.8001693692111054,0.6691053695422173,0.5642275054103445,0.5213157701151185,0.5141935275317412,0.5214736998742696,0.48123876649597663,0.5876936682753108,0.7670197236444369,0.6344454450626764,0.6652372915761814,0.5685937374472955,0.534028449864754,0.5213067132228476,0.4338523610866189,0.4527054368804478,0.4817437816586074,0.5757592064071136,0.5988373584732721,0.563874920633769,0.6260154362785509,0.747019392512408,0.7966640242108863,0.6851032504022871,0.7420733288056567,0.6071419820677953,0.62235183028824,0.8284141680937633,0.548277771631631,1.0626034270061413,0.47959379511511957,1.2406448953386913,1.0018345553398171,0.6231597660527682,0.5249349761154295,0.5237620982015941,0.533203309901382,0.5014118240959493,0.5652135937178092,0.5707324267823882,0.6185595631357663,0.7415845966488104,0.7321330473280201,0.9837900253941982,1.1796618731985455,0.9216580298508973,0.8336641089626082,0.7379531725961137,0.7691684472253162,0.6648675656549556,0.6487793639730451,0.5687744702073378,0.5471213955341621,0.5041750011395912,0.5084288881039722,0.5289641136485195,0.6983765482990252,0.5822250090331988,0.690949757979427,0.734282667172514,0.736535574554635,0.602464740794022,0.5450470223720736,0.5144625446003652,0.5748433475593328,0.5852002529188465,0.6614872702962503,0.6699534580209966,0.885961079657706,0.6529837527135698,0.7192329176807813,0.5913318287891476,0.6547099231089416,0.6667265438821796,0.6806415247964337,0.745058918652087,0.7385856146405585,0.6383774544542558,1.1456879345362023,1.5284315239491797,1.2408015255855098,1.356810999260427,1.2552653427880027,1.021186994325982,0.9837840925281439,0.8298733140999991,0.9161972843631067,1.0264005905949805,0.8937984252296755,0.8320913476819881,1.1325637843875287,1.0512245030154512,1.243145126081337,1.0391350604309455,0.9327897167326933,1.2165346301241027,1.2668192888946048,1.0567557174480848,1.0932271114341414,1.5404479363833228,1.2482332502573685,1.1339191855502406,1.4323119091842738,1.5925834633756286,1.2398572253465747,1.3620634998756793,1.1621131876296114,1.5587251657005305,1.0978184179431403,1.097380183478528,1.339717285682032,1.2502474593236395,2.1585211124988124,1.5637844704859203,2.0276175018145035,1.5221355211467102,1.5363935363415389,1.5779381986352463,1.4409563677237849,1.3112877470001745,1.1095417777663423,1.1849744995517595,1.0234947735053597,1.0529670368316915,0.944276078528806,1.0830954882363488,0.99970142165096,0.9662787393934602,0.9959409951966359,0.8440740031653501,1.0972037172332867,1.1620431882607014,1.3653266973264317,1.5580779502454998,1.8996648201471955,1.8505949145442193,1.6166584890350901,1.7688110411791016,1.98179826904338,1.8121895154166192,1.7104868070580874,2.06860145989634,2.167125060514386,1.88019683948425,2.0130638315443736,2.273595663604747,2.1852938730844507,1.9812168302306277,2.0926078691875443,1.8014088878068348,1.8117902542383673,1.7083199445877917,1.6156079738548361,1.5562228815464505,1.3388605875452608,1.305951922404821,1.2319073274070216,1.1626424598092466,0.9633489359413743,1.0142640363494584,1.0502928703530632,0.9270700220523589,0.9293143260021955,0.948187583797637,1.2778921157581926,1.0681191630674722,1.102363324059429,1.2845837704211316,1.4400428869103774,1.401318189086799,1.2026834120011294,0.9765952455512706,0.918333259888222,1.2345291739229476,1.1158074172052423,1.2159225562962557,1.1099568450565669,0.962057372674005,0.7360910179602665,0.6413264729659065,0.6645977727081284,1.160865478197432,0.8973722096434326,1.0978437523067435,2.1251858906582917,1.0760641406503972,1.3013217688040668,1.4531780383969133,0.7577183853934981,1.5819541158086092,1.4441250347196777,1.3088254568664215,1.9886812018577815,1.5705912703923166,2.0160760510116407],[2.14005679989186,1.1280928340140275,0.8090095046924205,0.5569626646783568,0.7123436696110894,0.4967878233033892,0.4810460356646192,0.5744342584028108,0.5236691585127553,0.5233870946838022,0.5900349849189614,0.7449155116118484,0.6147221934287209,0.5661989939912757,0.7762250722706362,0.7409986111881428,0.6994031596515399,0.729719634327392,0.7440809243954387,0.7448903407088753,0.7629536428261263,0.7585023276094714,0.8281845069020707,0.9134814682220115,0.7498271309270151,0.7052630440712037,0.667639084775057,0.6315916856836417,0.6591983218345028,0.6959217697849833,0.8161240617302874,0.7981167839145686,0.8946775332153734,0.870325846947982,0.7969734246275046,0.7474904442612448,0.7189888358191174,0.6571988017531798,0.6086183250247398,0.6168066313791549,0.7233709803367845,0.7066131158149285,0.7422679478210764,0.7393256518180813,1.1381255495303797,1.5993732690805003,1.5586957390808152,0.9194584561054181,2.298986253451816,2.0800427269953707,1.102439275104253,1.41049123259184,1.1447929128990029,0.8442551664125469,1.1577070658255981,0.8101913721296803,0.7339869852684936,0.8363112733188915,0.968871458098969,1.0372872110292315,0.8763281594082856,0.9352461721374776,0.9138485211727906,1.1075586985497472,0.8278966018156749,0.797530140642173,1.015896689124989,0.8965290433384671,1.046455683107515,0.944970719941768,1.1371036557802803,1.4700151210264898,1.111030055729019,1.1602067076728562,0.9189110557639332,1.2745758641409428,0.8765056863957935,0.8984808391615892,0.8248312882905878,0.8110884665044142,0.8133273791209228,0.7652062897370643,0.9613230879765627,0.8397709669740638,0.6449665677874971,0.6669072148552948,0.6843694824538422,0.7982155710781219,0.7577137036561542,0.8586283145879976,0.8932255142767159,0.9780515598165342,0.8954340577599035,0.8646781149059195,0.8371063238902429,0.8873905188236789,0.9728240151582049,0.8432986940243062,0.8391162809379874,0.9861826217107748,0.8575044554858728,0.9332254187439146,0.7878248850531795,0.8199078468549242,0.7654528788357525,0.7387923995998956,0.9539541357712074,0.6720324363027476,0.685248307794718,0.7648242508023867,0.6267983723820411,0.5471817171777448,0.5175587195339884,0.5261566926833777,0.5563818620281102,0.5144803880621366,0.6529926039092089,0.707350981413357,0.7165413460241401,0.787300245732427,0.6642526822276686,0.6176665792419178,0.5564495320624253,0.46107016516424937,0.4608631063330714,0.47639196947396173,0.5976083526904459,0.575693223802816,0.549815088515818,0.604871068921314,0.7680591999954023,0.788442237728585,0.661174405853817,0.7394606148890781,0.5956060850626691,0.6057563205549514,0.80295111967727,0.5801926488758822,1.0906543825968984,0.4979937251275816,1.3469496253071875,1.0169024260090198,0.6640259529552988,0.5846216560371957,0.5801769213493295,0.6039646557407358,0.5512715535731622,0.6123227128200938,0.6040011287324348,0.6262584850523023,0.7372014991536691,0.7512292257966586,1.0444890861278162,1.290408568008614,0.9558644084410056,0.8846779195663559,0.7890576008463536,0.7939176683955187,0.7149233278949385,0.6737232600629419,0.6046321154360947,0.6020496088610174,0.53383635387263,0.5593343895851697,0.5586094244295585,0.6838907895817151,0.5892658352014183,0.6713298915779121,0.7123987814407914,0.7419568246531939,0.6161594738018594,0.5627596885062142,0.5408442796392429,0.5996314228686737,0.6331964629677205,0.703289875109847,0.7229025018384482,0.9484854635986703,0.7068860799574541,0.7751031127589894,0.6268733134451426,0.6735458870098295,0.6851650227767264,0.6889710002096271,0.7420456296115453,0.7554606328817167,0.676829363213384,1.1623225197265121,1.521495520239905,1.2105320901965129,1.3184991993212822,1.242698760783657,0.9284621128825314,0.9027635006790072,0.777501148594754,0.8619646546948846,1.0142515198838291,0.8666371027525581,0.798754020421442,1.106438793633683,1.0725758896946176,1.2716679136139966,1.0262336679544108,0.9276553553561234,1.2480619628597907,1.2649748723909717,1.0348203795293596,1.1057210355531923,1.5689803618026648,1.21459372471847,1.1294616598712806,1.439407675940514,1.5532121083105006,1.2270402792545654,1.3773390037803677,1.1900050718741413,1.6025205744179938,1.116006359056066,1.127768874871467,1.3945773064379863,1.3049358112095981,2.3252935665342718,1.6837341270138189,2.1608589889270013,1.6505521788367465,1.6837653648725845,1.6913837411841217,1.5794751884486709,1.411571020958026,1.163168893470386,1.2551287808374636,1.060833461508038,1.0530843391506999,0.950758409972851,1.1387101240929978,0.94253579523435,0.9537808177651836,0.9507550902189192,0.8304896370758956,1.1117147823892897,1.225816374554191,1.4384271548081375,1.6638634248369957,2.032676522089437,1.9855699722065099,1.700974431631385,1.885970990888225,2.1130515862271397,1.8990142279478455,1.7836674766905143,2.180764787320557,2.262615448363125,1.9224068838644832,2.0989259308196773,2.3759469989410085,2.2234870362301056,2.0331810778561588,2.18055869298071,1.8728629909221672,1.9150398990901494,1.8045487353228813,1.7351924664051526,1.6561756224523452,1.3905512895244332,1.37878031579885,1.3060131747909065,1.2140651696286253,0.9833128270314601,1.0661022714714647,1.0695371273707626,0.9224431268806137,0.9065475378680882,0.9336204148488244,1.2438480928774747,1.0412127138032594,1.074849261431474,1.2601984876115315,1.432535442895293,1.3910604281065937,1.2160916406755404,0.9732618326876207,0.9188813018846739,1.2560052522600296,1.111447984101108,1.2028287302972533,1.099767436836244,0.9360359791181256,0.7104315307950513,0.6238019337405974,0.6588061895012368,1.1385786332319334,0.8255565015891515,1.0567414304911886,2.077096040808132,0.9522634831766204,1.2136922883500647,1.3486366452167522,0.7164807678544146,1.8469943883508426,1.845068710232012,1.3134172717226174,1.9838083915877338,1.8138777658960317,2.5597722579912077],[2.0355442505309975,1.0620002434529396,0.7735771645810576,0.4700628319360214,0.6453045696293115,0.46121226724159536,0.4590898960342925,0.5859992315069396,0.5317707651981819,0.5293127986905821,0.6289277638286507,0.8095492527729321,0.6471025223827717,0.5886835196985764,0.8159218266825635,0.7970173328171771,0.7256674421582483,0.7697799784258917,0.7799813999901691,0.7756306992641324,0.8032717952511879,0.7942421729206689,0.8760558322401972,0.9601746059027138,0.7504866672097001,0.7181706933302923,0.6793940008417553,0.6374252660937144,0.6875790253060038,0.7366310020708581,0.8914557451338079,0.8771528593789565,0.9988391898416114,0.9782887660746239,0.8817629378710647,0.8019495782102782,0.7730270431896292,0.6877067499066924,0.6200579957765439,0.6229497785677629,0.7095848306346618,0.7347268413928331,0.7696757803145345,0.7640876385779902,1.1656731907542013,1.5793333199284236,1.5739972342479498,0.9309046121313992,2.2743111258583197,2.0458361160189162,1.0969533715433293,1.3939801196151715,1.1627635867439285,0.873868281925957,1.1875094814682245,0.8388207935547315,0.7640501302319556,0.8777443156531545,1.0186601340661943,1.0562415489136403,0.920175832177187,0.992151414602888,0.9785422019811633,1.1931299765283803,0.8881004942564534,0.8420912365634148,1.074569180527032,0.9611076741346442,1.103040219390039,0.9927777963335283,1.196024150968693,1.5193052581504927,1.169265809424971,1.2286659826988557,0.9821211962556713,1.3239122790463838,0.94775258477673,0.9974089859515409,0.906019338839961,0.8702683438391093,0.8687988716850357,0.8014639202850337,1.0133506897089517,0.8721804791691917,0.665347633533614,0.6954328383975065,0.7200095370376182,0.8486637333830356,0.8188504867430855,0.9488587697449463,0.9823044914666481,1.0851300727954474,1.0046121206452834,0.9756080601886772,0.933558287461813,0.9979633037836944,1.055367891526778,0.9425408377650095,0.9301603298517352,1.0859075759945358,0.9450057359028132,1.0117899458492348,0.8506630575606093,0.8640088764940297,0.7883086092723735,0.7486671102292372,0.9693778786351108,0.6880766433233979,0.6977071768264419,0.776141599644078,0.6345196287951127,0.5438636502651767,0.5150917010867428,0.5065871492135428,0.552346326451195,0.49811090370991834,0.6419140064196203,0.7004783454384507,0.7567057554423857,0.8202981343017457,0.6885570659654972,0.6361032887381767,0.5451287001400364,0.4350263938492054,0.43054271480730216,0.4378253576297147,0.5581101748498103,0.5510749773644038,0.5263255484613978,0.6009712403184403,0.7339264246170571,0.7713291362706828,0.6393547301977199,0.7336478066063614,0.5707106097638913,0.5900866003759033,0.7727735046309363,0.5432918260097992,1.0966351437839301,0.4783911023699654,1.3074707815039273,1.0046839950009352,0.6513769134348988,0.5688062032662776,0.5692292180101991,0.6039018425043461,0.53956914151271,0.6172542691525281,0.6151152918967229,0.6462850933122873,0.7689692265183071,0.7973288487460324,1.101178980810998,1.3427020874710913,1.025117066432716,0.9621781485730561,0.8521691684086091,0.8447505755199591,0.7653806697683505,0.7037680759464544,0.6023432994483886,0.6095575865855063,0.5169245849775689,0.5527773039026663,0.5353619911171397,0.6691732339046321,0.5687006829174173,0.6606628484871543,0.7062008241966333,0.7296026773299876,0.5912438652411046,0.5451426855433277,0.5280116532132352,0.6007170728733497,0.6473331314490917,0.7276101192113839,0.7575690552595831,0.9925753817753004,0.7331460116570766,0.795742777768869,0.6300383344926185,0.6785013229521589,0.6803094445559781,0.6710712990497428,0.7243004677522038,0.7417444780035782,0.6613948900826696,1.1693140885476618,1.5333672799918847,1.1949174626298993,1.330680957549114,1.2410417069272488,0.9478750336696077,0.9114434139440054,0.7681609669365084,0.8465545098017567,0.9815915201983766,0.8629838544619942,0.802398393733011,1.1035593301732254,1.0888911728946664,1.2808200986217437,1.0281916074915185,0.9482587846402222,1.2767225952958414,1.277616964474842,1.0505221054759932,1.1463414672076935,1.599223531621522,1.2387929359932506,1.1820038099157164,1.500497270438396,1.579117611304133,1.2661980562623292,1.4644314638745348,1.2765312990376934,1.6995200429644182,1.2274917288820757,1.2211518488395496,1.4997496033617188,1.4122447589297051,2.3596110296192605,1.7764251958866721,2.2308320090257356,1.708624930920327,1.7431840130557392,1.7360567327799008,1.6256372965797414,1.4772920998509709,1.2158184766483313,1.2920570826366022,1.1217430251406013,1.1190417751566588,0.9860489980170478,1.1290387328275429,1.0092746216337336,0.9932048200035924,0.9443019984030061,0.851197648506092,1.1285427769347605,1.246396932103207,1.4705151339254017,1.683239043470249,2.064928771156425,2.002999602803876,1.719500315517209,1.9188128103977644,2.1387026045910518,1.9039947153240642,1.8004937467978464,2.198454300689549,2.2666889710755354,1.9335382504341014,2.136710117774907,2.4063263635430867,2.231654614610727,2.0762284005825458,2.250426804988757,1.9418296924087102,1.9793253162452462,1.848210614648275,1.7967956082255303,1.736614618494295,1.4483219613968403,1.4347818567253752,1.391246444294539,1.3017633431157796,1.0422933999091932,1.1426075601346275,1.1812796467391995,1.0081137311691741,0.9700132673925778,1.0337649933631008,1.3594767533936665,1.1203547495461712,1.1436317928280948,1.3359984686174722,1.4811954543568833,1.5017761409238004,1.2588661654444768,1.0295970634013998,0.9467213463883949,1.2513188383696061,1.1150545489252235,1.2089091490610004,1.1094480072410549,0.9549989300542316,0.6815811326538133,0.598210951541891,0.6122067536855753,1.1340949251764194,0.8266576994542456,1.0647262598193126,2.0720033611858404,0.9579926645147318,1.225975681019051,1.3511916677316187,0.7097490515041447,1.748543200656059,1.7610308324605224,1.2961078269316118,1.991621637386952,1.9489159727226817,2.7225345645150183],[1.903897180341246,1.0333479174702223,0.8467893832183291,0.5332728155560249,0.6030500393022362,0.5024450057238821,0.43341039204152315,0.4816338929500408,0.45768852943637756,0.5035931049542103,0.5581266124328108,0.6525557966199912,0.5546382037204518,0.5945082433022152,0.7633174370045697,0.6840043984747732,0.6902080558976927,0.7356056906022851,0.7945585910471494,0.7576813152455213,0.8001452330877248,0.7654233191778624,0.878473915759825,0.9700133992420332,0.7844735487612925,0.7573338613718518,0.654929551649842,0.6311034041338367,0.641944308594116,0.6269144978188693,0.771024660837354,0.6901893670056809,0.7815653317929525,0.7764126771798711,0.6989230822529221,0.686680933733947,0.614528602146528,0.5978309097744996,0.5547187593346583,0.530547816659522,0.6801804878330415,0.684704355460473,0.6981441957398397,0.7118164082964084,1.1953592743975368,1.6405287648192153,1.6738147786624378,0.9019238477281614,2.3176613527106835,2.161519354022631,1.072045010183464,1.4884437507932917,1.0348061060925575,0.8076528840847309,1.061524586556209,0.7011426739283344,0.6575167465176794,0.7600332053373412,0.888164827359571,0.9829910360730955,0.8426524038347029,0.9058737662221167,0.8745632149353326,1.1269503389571356,0.8481980375354237,0.7721992510092806,1.0327452155413266,0.9058730038772392,1.1169829400551974,0.9909622871376389,1.2311998174335241,1.5384716393633493,1.1688411856841319,1.2337392100323932,0.9311871771244782,1.283021296715103,0.8490626861267839,0.8385487694954181,0.7519912364989978,0.7316322561521519,0.7069096667420213,0.6538244182239622,0.8322019913325286,0.6753720564598866,0.5291336995236691,0.56745804803095,0.609414072670171,0.6904913408994063,0.6943113763787321,0.777959116152501,0.8460871880553922,0.9745221865541339,0.8781243390222019,0.8166749633844951,0.7894481550613935,0.8616842998071187,0.9263013211119935,0.7408171783279982,0.7071855182616257,0.8357797948523795,0.7000257633381206,0.7926360123897419,0.6346618148671856,0.6846985783638357,0.6453935262134941,0.6122382990136316,0.9559256626900686,0.677458581299669,0.6666648962329441,0.7569833847428339,0.5935836273670493,0.4820934013736009,0.43931298979623185,0.4822816298075447,0.5495951061172002,0.5416862367530102,0.6706473732819266,0.7396169705293798,0.8179774367288114,0.8182701731624962,0.7456951535036104,0.6788464336691784,0.6391891304908452,0.5184621953691951,0.4891066539190259,0.480240101099589,0.501744771638621,0.4993042164678483,0.4829572918063459,0.5463100953639085,0.6439419803078515,0.7173878115850795,0.5639923033416797,0.6870044453385441,0.477667520444801,0.5040081726550674,0.7402333793030957,0.5317678733220366,1.1019471403095233,0.5216023553709496,1.3210266764404963,1.1203859662544169,0.7156530007858626,0.5955724920604005,0.5822238050241406,0.5747655165231905,0.5310473000632605,0.547296434899395,0.4887935725900504,0.5151459150262904,0.5892275393404603,0.619784404833301,0.9645661120997259,1.1892182828190432,0.8550733841676044,0.742437836951879,0.634062110260601,0.6331595825289458,0.5773563157817938,0.5320008618532596,0.5166841760516082,0.5165794426391777,0.5156061027476557,0.5065167060487962,0.5445136523164931,0.7177246009963084,0.5891809770558725,0.7022868137463071,0.7447145484172887,0.7453632725390956,0.5986580876500125,0.5647202880594457,0.4909865073053787,0.5102314922456261,0.5167560381339069,0.5766965019409299,0.6134126849253657,0.8676113912930687,0.5918022689911389,0.654454495321956,0.5135084335709357,0.5238830933478802,0.548266632591913,0.5625908222301945,0.6255666803004167,0.6301249222254792,0.6002599205677768,1.042978957178404,1.4740047321586394,1.1522384839302708,1.303445757076971,1.1712376700776015,0.9042734069270294,0.8552021744550499,0.7191034073116682,0.8243068745461742,0.9206128347838359,0.8975810259538578,0.8642664136555293,1.1305571547508635,1.1665529257020442,1.307167493476584,1.0444714531517165,1.0505211685630278,1.391874933293593,1.3584476116486537,1.1137489161370229,1.2984421602162561,1.7491423080659028,1.3638781223002074,1.3446653010462917,1.7079412026905978,1.7585426913697781,1.3783229837014013,1.6779875413351022,1.4505079704919646,1.9256463454781239,1.382044521437025,1.4464124126558002,1.7400793303041484,1.6893083166582405,2.348859621181894,2.0455172647169366,2.4946969810171526,1.9210811692311218,1.9085471412070592,1.8310700506533886,1.7115566061308838,1.621688948878455,1.3897078948994654,1.4365300086353276,1.3108843381061934,1.3419853091583098,1.1294663073785078,1.1732180748550718,1.1774558332545024,1.0968975270018575,0.9919469182468209,0.959778692130955,1.1943838497103705,1.3010724808744198,1.5611324345489692,1.7024552569818159,2.1284919331102965,1.9854387248734162,1.735378125160225,1.9944552828416262,2.1612199687789837,1.8880153230000263,1.880181963453211,2.2950959879798987,2.3458843835045444,2.0574876022682322,2.3033999795800852,2.566464370173138,2.3973553156602603,2.2899719646089207,2.4898449771015585,2.171933575850728,2.188927129369836,1.9996194495251438,1.976593308957662,1.9647608546361446,1.638481870473801,1.6102130589519963,1.6130911917851447,1.5173001865876985,1.2212292155460371,1.3547788315690672,1.4332965566214375,1.1830106625982137,1.1200198612961048,1.241588642153395,1.5053417885614246,1.2764387038921174,1.274890578930798,1.4541870977699212,1.5644908915735227,1.6072540429993303,1.3456100358117788,1.1474428311200606,1.048983748622737,1.296374378095677,1.1854965781742304,1.2895809959122806,1.2002477990433462,1.0358368956174726,0.6990245398155989,0.6211371824077762,0.5358052027310124,1.1277267831774822,0.8042251193510905,1.190498073765997,1.9058003341583167,0.9209386182768637,1.2646777007007628,1.4156004265228284,0.6874920905542705,1.4098578600762526,1.4372033991697322,1.703242642217279,2.066081195414468,1.600483430629648,2.183797862052369],[2.010227341759604,1.1939423547351153,1.0020889807247355,0.7569545997652397,0.768266260495957,0.8012334482761015,0.7214223810087574,0.7629116231504415,0.6961393512513333,0.6554385746264534,0.6745603220330312,0.7707669305668505,0.7002735803024152,0.6553980469053053,0.8006666032712878,0.7551297226707332,0.6907356263255172,0.7267487585440963,0.7597224954948643,0.7355002201179491,0.761232815237838,0.74427812413734,0.7980427063117482,0.912232945554651,0.7644345501293975,0.7067582763521261,0.7083086875003818,0.658277734791806,0.6942269807603072,0.7189185128240616,0.7799487943211285,0.8031123161778452,0.873519193630015,0.8442652013327804,0.8064099630989574,0.7378483999138744,0.7524307526213487,0.6877505351809486,0.7009563632031556,0.7395787897847367,0.8702247869013253,0.7049064768751391,0.7150747492512612,0.8177178586264163,1.1048840450786708,1.6642844601340123,1.6576087476399255,1.0746888827070056,2.5090541654128775,2.4030699324345797,1.2540329103428218,1.6902145021089148,1.0702132917178306,0.8802890692161018,1.1139127199334613,0.8215420600986781,0.8292987284226997,0.8570606008931129,0.9939141304832735,1.0890413680396824,0.8909352027330174,0.917581483027821,0.9013611978810133,1.0306161990840368,0.7999351238448791,0.8081471237323536,1.0168706016937572,0.8740328111784051,1.0162121156995376,0.9406732550533845,1.1296883484424616,1.471990194931903,1.1263512423891298,1.1763635292296977,0.9113308591037921,1.2984968646394002,0.8523183349839765,0.8679176330081049,0.796886171630834,0.8084378465746946,0.813418960981593,0.8191366715429621,0.9610826949213733,0.883778890350428,0.7663452171127558,0.7619395368334023,0.7390006712953762,0.8298260586881541,0.7580988435414414,0.8460891314603961,0.848344870761986,0.9287061767400856,0.883610184181348,0.8586376321373682,0.8232140103014367,0.897248852991095,0.9363515797929848,0.8329668457473525,0.8365236098402284,1.0267536466261105,0.8771589671517159,0.9685369099695493,0.8738733728187175,0.9455576754914345,0.9456565369653536,0.8983477586474381,1.3208725505851515,1.0403699146267735,0.9860743851818702,1.1091660667300771,0.9205897220727044,0.7948245077502444,0.7366733497526816,0.6948226189041017,0.6530626917368648,0.6491363209309932,0.6829362669907377,0.8281437416331148,0.7762064373354561,0.7782440024406172,0.7061239892841583,0.6781654084237445,0.670484777352841,0.6386008798173398,0.6447242943789178,0.6852051835082861,0.824037381475645,0.7566899377881156,0.7816263084911103,0.8600870443644774,1.0201467770563288,1.128509566401054,0.9523217864818819,0.9438876575070735,0.787389732910954,0.6881644795724854,0.780379587296559,0.7612998740344802,1.386459321898402,0.715703881624465,1.188754630761175,1.0428718185951213,0.7741547463189568,0.6583030821730472,0.647069610057938,0.692681491603603,0.6736487115643727,0.6953855836630279,0.7101921697983121,0.7217750311737423,0.8097134006528904,0.8422673994531563,1.1720635340430032,1.339349936693927,1.0528700595683675,0.9683411566210852,0.8255238936219995,0.8591877049937301,0.7768714877834058,0.7895681165302689,0.747775806628407,0.7098466782718433,0.7625340038556212,0.7427914999607446,0.793951962156373,0.9418984598199682,0.8605596939006572,0.9379039201146131,1.031919161175168,1.0136411127753304,0.9043202928818567,0.8821383491282334,0.7607075851549211,0.7684659614754695,0.7629246443583518,0.8363055552850437,0.8108712633745262,1.0497159839351504,0.8269510539823401,0.8948867581043211,0.8131670641105984,0.8311089832465585,0.8410515340725865,0.8738557218913273,0.8760852244146129,0.8636661186976126,0.8192047108627936,1.111557018455084,1.5277004135448793,1.3426841609316043,1.3714242236322902,1.3733740081451642,1.1008885882819226,1.0702066478161536,1.033025300202406,1.1880615789141158,1.254807510573094,1.3252392041107393,1.2838259871727855,1.5224719559214963,1.5835115821383885,1.678458100665664,1.403055433855942,1.4499765375925464,1.7807618356997765,1.701945748781914,1.4567405936341893,1.6668918421451249,2.0967424167289663,1.6735567787733208,1.6650415679724169,2.0089653865302908,2.003662643587473,1.645724701117828,1.9370958092918746,1.7576502959835594,2.1801526092861017,1.6932082613034765,1.7844319218058096,2.0908459953541847,2.0581483032145775,2.699878264269756,2.451684222278866,2.8453506228060554,2.357931638303585,2.363740726616982,2.240643476058089,2.158443216327242,2.1149083083960423,1.8381850937274546,1.8600345330869388,1.7615171928881417,1.732573456674767,1.5391383004284553,1.5442174144508882,1.621609048521269,1.5100199975365534,1.3890082933876613,1.4066146035542924,1.6323221384078213,1.7230477032282698,1.9555572777311039,2.0723143337476633,2.5164669844859286,2.316305177699119,2.0927949539409187,2.380709705707135,2.500250439715304,2.2067723757237174,2.2267468641889137,2.621898668153837,2.6295564023504125,2.365955357502404,2.648751821922791,2.883812501368318,2.6788756221002963,2.61063795528386,2.837054920980064,2.538806707006613,2.5806009357525643,2.397684258178583,2.40114854024387,2.373347424262617,2.0343147643124393,2.0336453559361973,2.0337103113896475,1.9101543742148648,1.6499859244109762,1.7906160887854679,1.8107075239304005,1.56198802087691,1.5362260174641222,1.6296206207258066,1.8845764834703964,1.5730390455798122,1.5448626142232549,1.6413905288000925,1.7170335555339895,1.8402834953568883,1.5656052845223352,1.452870404082689,1.3505315277726586,1.492901668839134,1.406255414995332,1.4585327656286577,1.3917141946630245,1.40825041299449,1.0072027104677648,0.988206186561429,0.8331552229470234,1.4003142208280979,1.0034189082275773,1.3553111510696079,1.7868822219391634,0.9773579332261451,1.2891042525761796,1.4515615616972013,0.9200108215512758,1.153595496774247,1.3192440517567556,2.137602788243355,2.3002646092557004,1.7782393592317702,2.211883610393422],[2.018086852815774,1.4405065528782803,1.398383627634929,1.217702458695425,1.182535030117426,1.381427561095379,1.2952533529013817,1.3250974426605346,1.2325986736871806,1.1653715006501177,1.144373376379112,1.236886142683032,1.190403506287978,1.131629616884144,1.1631381924483035,1.139136007923235,1.1212972299597936,1.1048131507148837,1.0947177897174496,1.1083690481717128,1.1180302370660296,1.155093378699096,1.1429835326970739,1.1904143539292231,1.210729761978546,1.1215721614294942,1.150436897542765,1.1202585266505731,1.1460147712474003,1.156071403115135,1.1369536368683903,1.21960963438362,1.244664055377045,1.1852373306092439,1.2044759631428423,1.151746521304123,1.2179993100453275,1.1597621242974905,1.2167123249276224,1.276442337023109,1.333974750401108,1.1512681442560242,1.1714351655193067,1.276881584750255,1.5554847090201103,2.1302772673009014,2.1718690592029906,1.5702085283437965,2.8798172472885093,2.844940740902986,1.7697439063033025,2.2523667671454035,1.4305975400612578,1.4226602589077102,1.489133139201752,1.299786359088869,1.2729742662373487,1.2791128421508868,1.3658429369148546,1.4290990537744361,1.2486834886360554,1.2671317510537494,1.2232089089567817,1.235294308737188,1.1408308601982917,1.1701563386728009,1.2042649744441898,1.1229014509702286,1.2128271072497454,1.146224869150462,1.2834689797032992,1.5275372181318512,1.2672620906770111,1.3223671143196394,1.1469746154949743,1.529931101424912,1.1416736653446549,1.1671272230989,1.1565878233633102,1.224813406581668,1.2694268662819788,1.307651811857721,1.3823439330663116,1.374275522559591,1.3324202662477143,1.2777729506120452,1.229402819817086,1.2869134540430063,1.1678476868835757,1.2076938180256818,1.1351344369605276,1.2030115737676457,1.1476260996258087,1.16096008957952,1.1440597458495352,1.1532475395825221,1.19693831504043,1.194235865639222,1.2177761755372238,1.4129335807180303,1.3201943150707984,1.4049146491024558,1.3497988290154168,1.440912233265606,1.4715986487292974,1.4295357329861704,1.8061095663853333,1.5965254311065713,1.5355201297972014,1.6675853549036586,1.4804175537112465,1.354794438534615,1.3049425023731083,1.2509894214453934,1.172132818896738,1.1894194287023643,1.115772066970494,1.5078181223941332,1.178957579774056,1.1321414278263735,1.0980074990011282,1.0899632117231666,1.210537977957354,1.1946955636214645,1.2131254100373907,1.24649385694554,1.3427406725207087,1.2963076276074803,1.3733770055960395,1.471917166158692,1.4991461395112406,1.6136174964342545,1.4684989469862049,1.5324728225970687,1.3615899440011228,1.2797678088319056,1.2396209424128466,1.277340317090765,1.8075591972558631,1.2858377598482431,1.3891609346361893,1.2857976854263897,1.2278075799899224,1.174905533216299,1.1714923947002256,1.1848508898476766,1.19164170385682,1.188636148541657,1.2485429693520544,1.255330075333511,1.3182293707128514,1.3463258526644133,1.5803825804066962,1.7087615374741636,1.4805763472940228,1.4074242363270324,1.2901374800807706,1.350020796794024,1.2520189185954038,1.336013789102381,1.2933460976434765,1.23636106647372,1.3065472560560638,1.288316930070698,1.3586341198894987,1.4154212483213318,1.3942100245649331,1.450756655744806,1.5209182204046459,1.4920751730448567,1.4282320988015589,1.4183687844839776,1.33279475075182,1.3317513150012126,1.3041969501557324,1.3721618839057474,1.3107209696853452,1.4972756030063916,1.3610094197221247,1.4157624575708783,1.3708047587287526,1.3685975194376407,1.3841227697588514,1.4220646771643055,1.3619755220123493,1.3365729041167835,1.3230720777375773,1.3626259975590602,1.6460900160905967,1.601967571719348,1.6079082166366865,1.6529028314461254,1.4659974954693535,1.459721678107249,1.4961030937543778,1.6029462197080664,1.6044850797995356,1.7707565880952123,1.7376498537780785,1.9307887929165168,1.9966165647725402,2.0737868180129553,1.8322291948751386,1.8762290929952095,2.1560707769031278,2.088264001022604,1.8278977606348843,2.0403293106291573,2.4318529102107393,2.0490685894399436,2.0213649467107495,2.3339820974025467,2.3444733179178385,1.9738280985054086,2.22903923890129,2.049620498014704,2.4419393797610303,1.9297633820316358,2.111371809895577,2.3828153559781184,2.3575747588099922,2.7659272319361152,2.7425537552423562,3.1029492195191546,2.627945876244372,2.6336671120436415,2.5161323776077102,2.4448582461800226,2.398227450497378,2.2261291712412588,2.2564741231823215,2.152241683899309,2.1445612196171657,1.9757952378035286,1.9375502659001864,2.024781091396881,1.8838066304471799,1.7745697887226457,1.8331190306030696,2.0030681271298794,2.1111376632033005,2.322537178356017,2.403568678872467,2.790343161555029,2.594426632139307,2.396790662488363,2.675682739222923,2.764271091897802,2.490723027751581,2.546058554802349,2.898460289335291,2.899309528376213,2.6756541628302775,2.9248120126283994,3.131542456451865,2.9541438971414182,2.8885810424346,3.095536360154024,2.821892679054108,2.8575889238934202,2.6992339710807847,2.690492475420392,2.658769712210504,2.3773687397561596,2.3857350747222683,2.3581506397110785,2.2368560559587136,2.0318815085858404,2.145148241652974,2.1193837549913757,1.905636355000959,1.9104765965414714,1.9621143407647381,2.1562895920960274,1.9005303353225573,1.8705542618494775,1.9180206776440833,1.9775180261311653,2.0610063327028945,1.8530773749331917,1.7975077990734323,1.7295399597319068,1.807654593815209,1.7658774943673246,1.8009961142598874,1.7644128849386882,1.7823182766526289,1.4605372857436247,1.4943422612979005,1.340189639567551,1.7748227366717741,1.5234579165058706,1.8720340133923923,2.0405642976791887,1.4390933922681823,1.7395748778965414,1.9417074960091365,1.4971196306065682,1.4126597255390865,1.8554106137519226,2.7659448793251675,2.7403236213350337,2.0565412166945847,2.5949268351811248],[2.1587026883779354,1.6012493663373257,1.5521181318460147,1.2435064268518736,1.262707490182898,1.3705334553527908,1.232933788707119,1.2765464102010902,1.118699814053815,1.0055686542539297,0.9726050222320173,1.1231221436162495,1.0450396569709424,0.9313723845161505,0.9769000883744331,0.983668200010717,0.9337154644966297,0.9163670467415723,0.9149379343225797,0.9360741800846951,0.9352803968675145,0.9823262977164404,0.9666032905510181,1.0631864900289296,1.0276564490794715,0.943645787167628,0.9759320352157501,0.9362574208471113,0.9777200023161211,1.0132044199016035,0.9611522732844618,1.0903212777273426,1.1286793446247287,1.0516468390548912,1.0644885987086259,0.976226386710245,1.0983411098114437,1.0256310646921443,1.090729352203748,1.1944928531048735,1.1983024209370614,0.9947933719224573,1.0295979279789655,1.1475396607844874,1.4099425953784457,2.027922287658977,2.0712678518193606,1.445864618055298,2.8382008327804065,2.806353469324611,1.680383727712561,2.2015658092694967,1.3963400188998703,1.3402734592273622,1.4184025809790386,1.2152277354324503,1.154203634622405,1.1605233761234048,1.264351511902326,1.2959439278080018,1.0842611377575773,1.1067020798068663,1.0765451337680998,1.1110718506096078,0.9674808698661101,0.9931532265855634,1.0686519377325836,0.9635938344529686,1.0743338355063579,0.9819094580499357,1.1662610555781716,1.445536819321379,1.1424122919528563,1.2011040558883932,0.9960770937852641,1.4178381324103655,0.9938829673116266,1.0328722537184294,1.0155354325905956,1.0696921158722579,1.165496725777172,1.2541328359513921,1.3686737577133916,1.3877726004485367,1.286799423687864,1.2118668476798937,1.1126757690520908,1.180179299852767,0.9972442656259716,1.0579889306237527,0.9879244346044933,1.0753385953439225,0.9963973148123685,1.0063528292246942,0.9718182831513476,0.9925322227539476,1.0263897608527486,1.063490045387991,1.1170235734819198,1.3688568256780929,1.2487054228561014,1.4098432508105838,1.3327355420407907,1.482805367401682,1.5568997184378295,1.5389499754898162,1.9518932524955945,1.7914431790835021,1.7234309482685721,1.8048067622338821,1.590765597930035,1.382411014712426,1.2620221196054375,1.177085702052364,1.0339275454172716,1.0338251403084295,0.9362793176719919,1.2772919364894226,0.9861750970410389,0.9436122891374769,0.8905816988174549,0.8877943183477931,1.0073553456743067,1.019120202443938,1.0732510723301123,1.1721901554779508,1.353140571795477,1.3383818130788612,1.4576060348132245,1.5877583064462468,1.6617180254468171,1.8286457448205757,1.637328620059288,1.684351977514155,1.473344922990102,1.3266357986269466,1.2784088808301626,1.2665578571063587,1.735918729673899,1.1999600199745208,1.3477911918238716,1.2050048219732168,1.0757456674621084,1.0486557481059984,1.039607002985643,1.049299121328436,1.0701391268824314,1.0936480351266484,1.1945237150195345,1.1916121016993348,1.327895522129627,1.3198589494640451,1.6148123763004156,1.722894717942754,1.4580622103740937,1.3921721995952205,1.2256546313141183,1.338556043806277,1.1774012491603127,1.3354646719178607,1.2809487114244207,1.1632228382129222,1.2183543697708563,1.213846755678064,1.2621535090884688,1.3328489291748404,1.3620143007462033,1.4284933435934948,1.5432659728575582,1.47875809354427,1.4334231340880828,1.3725653110733989,1.2942362015097293,1.3175084954897158,1.2819505176520007,1.3779774708409547,1.2490794589717473,1.4635819841940947,1.3450453597153975,1.44135849353524,1.378565877665435,1.4281496466229375,1.473512777953426,1.509000556307109,1.4365970798143193,1.3569655979554849,1.2791958600316156,1.3248042628306214,1.611183879846637,1.5881488981108076,1.6498405094276898,1.7070512677584766,1.5938849957845627,1.602071497716693,1.6734026113583542,1.8175769459501576,1.7926304518644136,2.0158677097439788,2.0075787260658586,2.1643634583525,2.3225662053577363,2.3661781615455952,2.0737843283085704,2.1943543291014205,2.5139665971339453,2.38122063097847,2.11124768688383,2.417292951424232,2.798673439497357,2.3503387118946524,2.3890463519965763,2.7456599928847574,2.6573690728840176,2.302295880399648,2.6742214506165545,2.487393486957347,2.932795113804327,2.42151519539155,2.596960233425091,2.9179887006137264,2.9321927428813086,3.308716207850689,3.3261060056687075,3.5788448097610357,3.125232697961557,3.130082754075298,2.9436327353673875,2.894804793424447,2.899380892426572,2.665682236117632,2.6577246429786423,2.606389811079632,2.5853465261901376,2.355838733660389,2.303715922640758,2.4363735540649247,2.2658501021489608,2.0747536554431774,2.1749910158023584,2.2923273048784316,2.4503550726564765,2.686660083437849,2.7364120138531796,3.1561005459976803,2.8936335036709937,2.703795568861698,3.042786087036063,3.0986027480556615,2.77395408186777,2.8760619848439073,3.2314826114773494,3.1859842547897212,2.9857534361419793,3.3126596149317917,3.499534636081025,3.2583521450049435,3.291250645343198,3.5499690669193664,3.281253401759799,3.3218352624036194,3.116690160837786,3.1553081861634267,3.1714020826183744,2.8257599413057566,2.8371851848266347,2.8752610193822017,2.737409269834642,2.468454992720912,2.649835657426151,2.6474742704448833,2.3525194390710835,2.3263689466350095,2.4552153367004204,2.596129275312569,2.328481244301338,2.249877619778432,2.3365788452240555,2.3172564922797174,2.4883527639195835,2.173262136425114,2.1516969024268597,2.013224086625917,2.0307607379235546,2.0043110012268532,2.059566728209299,2.0157995135756246,2.0779083163932093,1.6704639096367633,1.7042590062234129,1.4718053411866177,1.9514005877145213,1.7233137629712685,2.092934286891356,2.1831615426886453,1.5905951353400947,1.9198985260520731,2.0556833738852727,1.5509804309994746,1.5516814993388492,1.9401424662827826,2.7646878233471344,2.711331647076767,2.125801050043039,2.7030707002787717],[1.902529148637749,1.1486676759523873,1.0272352858133638,0.6775496865227516,0.682342574182591,0.7261356439308164,0.6167008760329465,0.6762506103919027,0.6443846031186514,0.6729987788574817,0.728333109042761,0.7964551089738076,0.7156996055545617,0.7584307609315231,0.8901405589577528,0.8169667630738469,0.808938273940381,0.8615090134820139,0.9239377073544623,0.8791515073417594,0.9231326580343618,0.8815965528576151,0.9920254484654669,1.0596438476887027,0.8940598803645553,0.8657173631308027,0.7456679067097082,0.7262119384707592,0.7559554918299676,0.738716112448878,0.9092840464282009,0.8033588252800309,0.9079969928711635,0.9084928312238932,0.8226662423718631,0.8021326538868553,0.7256573589065383,0.7000914296374694,0.6744108551270187,0.6580566432639603,0.7985790465055085,0.7793972493239542,0.786215832585002,0.8086053376470438,1.283537479274202,1.7639603271242603,1.809160678333076,1.001113369121648,2.4400425588026544,2.318186814491375,1.1722510860208732,1.65179350245986,1.1010760839508826,0.8913075382382044,1.099353649436102,0.7941850887053207,0.752923114908339,0.831923497377305,0.9284034844202551,1.0559845403809767,0.9188740931051688,1.0194300114991568,0.9898805017183322,1.2495959546518258,0.9659281749119762,0.8948943769765426,1.1262785720283937,1.0400984255671613,1.2569025260199003,1.1267245021616907,1.3835304886049866,1.6661272488568037,1.3096878477523357,1.368404996634501,1.0820212570917862,1.4231025061338063,0.9925469595718999,0.9850066063369782,0.8778740350588681,0.8290931023551646,0.8056242223823895,0.756464312828969,0.8837710769157306,0.7581636676530561,0.6659150758099969,0.6844668372795333,0.7200611138505566,0.8137749529084999,0.8112083445348692,0.9166201586365321,0.9847875590568664,1.121358156268776,1.042666009480711,0.9690112327499218,0.9341366290044504,1.021208193298131,1.0493233582906079,0.8776500955815748,0.8410818545882299,0.945788840478915,0.8063082047632032,0.8720652789700136,0.7545204428864253,0.8053993505423988,0.8118306562891583,0.7681370307951094,1.1674715984508668,0.9491829994781757,0.9313168946006884,1.0034060314160538,0.8302033706693793,0.6847106057168663,0.617433190768234,0.6196169954633733,0.6705185433564913,0.6620800498671444,0.7710540581928617,0.901883033396447,0.9487637156773904,0.9127754158508684,0.8706716286284922,0.8043485053633136,0.7927366008539617,0.661790788916706,0.6302665729542597,0.6166708360174792,0.679422196643093,0.6589690725112003,0.7004562947138031,0.777718329775262,0.8435371690882171,0.9762695070514021,0.7866432899506858,0.8873078652705151,0.6649002441494616,0.6394933970984091,0.7867045332045594,0.636671138965302,1.216392328430663,0.6486307647898223,1.2866460051647557,1.1322271931136865,0.796009000028551,0.6854500356522284,0.6847530718629983,0.674852615966298,0.6438984511228448,0.6505710771274354,0.6202115475809151,0.6301875933477471,0.7136055484117078,0.7364958733168551,1.0318735665909897,1.271327394852342,0.9436057319070628,0.8445569125343249,0.7426637290277205,0.7480531577048299,0.7027509223513934,0.6781571292821919,0.6510094496002421,0.63651813864148,0.6507857049053919,0.6399034201718456,0.6809106183367364,0.8185512194154804,0.7003390162706774,0.7947169361600961,0.8585826051841645,0.8325263434763404,0.7336713887713222,0.6985675901300095,0.6197267888267118,0.6446677042170021,0.643451574686,0.7144886715497115,0.7233832293677434,0.9544794030601693,0.7167472496143934,0.7833580780772633,0.6734163118563287,0.684076638345485,0.7155500053786265,0.7384612522512443,0.7456148766785695,0.7234070189042556,0.697479699392858,0.9990618851712929,1.4320526393593793,1.1131935302218643,1.2869554163766124,1.2136439282760965,0.9392115457288648,0.8972854780359805,0.8609480597928053,1.0136656250069198,1.0489299282418068,1.1849092619329797,1.183784948516497,1.3970519369855545,1.505242049927961,1.5801622057552307,1.3013549176413988,1.4026951488533734,1.7416659779861283,1.6435433214834445,1.403483943171529,1.682627537736339,2.0860018427551257,1.6704960416082597,1.7163829631390588,2.0931936924079833,2.0460487928898172,1.7064481575298656,2.086483843095536,1.851187913618115,2.3563236882341854,1.7997185385735437,1.913927087051737,2.2401985478244213,2.2311526237555164,2.7456019466946184,2.6248798250698235,2.9346177636552992,2.379685130276978,2.3491818941118825,2.1739510793409123,2.0993309901647286,2.088145793294058,1.8389831506585208,1.8309092058073275,1.7698554960553547,1.7946175668645465,1.530815227162967,1.4900942114118358,1.6131993281332866,1.4805365759668954,1.2786424141871875,1.3388878501325185,1.478057875816491,1.6204895347248152,1.882698956275803,1.959043033412153,2.4070170097919523,2.1697791544226455,1.9537605959550537,2.286596974172984,2.379978869691421,2.0637912528009976,2.142969697784539,2.5451561488348102,2.541466735339491,2.307269196155867,2.6304459468392376,2.856944266907755,2.641675852521217,2.638689565277663,2.8933305516629098,2.598557923060331,2.607934473803997,2.3740769624912605,2.4020245256122195,2.441358648957171,2.0739164076755934,2.0519025879778545,2.1123959817574622,1.9969996890421253,1.677857740301817,1.8628573228951408,1.9351107742088385,1.6232818826240176,1.5559597471889965,1.7207426367153449,1.943927143319967,1.6651584783005113,1.6170824325537552,1.779077974052975,1.8138875950450317,1.9155086777875043,1.6205300371010383,1.4965614300960746,1.3623648380144677,1.4950574106942742,1.4232944442013034,1.5194195011394427,1.430855122483763,1.348719285761559,0.9509662427531188,0.913386845269806,0.7301391266543162,1.2883169912156822,1.005259531108138,1.4108380747211364,1.8668365279202888,1.030807257389506,1.3874026675849045,1.5098547806714921,0.88558665332842,1.2349204694173037,1.4150269275112157,2.0276926255477825,2.231190777964608,1.729095096750734,2.255449929959598],[2.0327570096352185,1.404367649865899,1.3390398517279105,1.0537585484065488,1.0429833527083028,1.2186751570294838,1.1336959215808158,1.1713639650578431,1.1384704867542972,1.1345811765653624,1.139408217183514,1.1751761518727706,1.1277102706465745,1.1846612596255377,1.2386357833013708,1.165988810719364,1.1829635922727577,1.1867377018117988,1.1816513485845714,1.194935963945171,1.215962798765449,1.209180611055215,1.2562506084412872,1.2675879693846435,1.2209717011869898,1.1668042918308859,1.1067157508869763,1.109160165369647,1.1653859956097175,1.1525651530522043,1.1981244359465886,1.167767841168054,1.2108852973061168,1.1814786053068012,1.1670663279726052,1.1694109897916931,1.161470327306508,1.1144224832953356,1.124876373542303,1.1334267822800712,1.1653407719754847,1.1444188384838965,1.1658534608119755,1.1950315703322627,1.632279596447528,2.09803776254761,2.170517309164775,1.404578351940566,2.691614473046386,2.641975581447331,1.6127181381679376,2.030192500512632,1.3148760889135873,1.2961433214468487,1.465938407897244,1.1886661968559322,1.1401877105505231,1.222193165128366,1.2740511255764284,1.3711549777360785,1.25981844693827,1.3159310960219706,1.263663525892875,1.4112902244680265,1.2385895455282827,1.2141923616456594,1.312204735874159,1.260070500379029,1.383586594398592,1.3141344951213565,1.4664185068050468,1.6880122977513574,1.4354242461000182,1.4571257089298222,1.2633739292266317,1.5927467358229548,1.2354029067549996,1.2143596107253616,1.1779292571811446,1.2049407792296052,1.204260774051516,1.1990857930954846,1.2638235462513492,1.1898543103393975,1.1601214284762158,1.163362480730065,1.1656256637020161,1.2267695237720568,1.1845129927045852,1.20975934672366,1.2196507029194963,1.3265272161613675,1.249180073376223,1.20127816290063,1.190584659479535,1.237009768045578,1.2664231202345393,1.1561698007005619,1.1494563889118856,1.2170589902351971,1.1874411451042353,1.2552006500099562,1.1715435796198392,1.2557875797481421,1.260866731304565,1.2113908406944611,1.5108764871402647,1.3573989352534281,1.3274645224548527,1.4334266380955742,1.2965410902949215,1.1783953627835317,1.1301150845817554,1.099023180855411,1.1168636326320094,1.1142511977136973,1.1049529059886285,1.4154370951608048,1.2422668279766942,1.1621195191142952,1.1443628602332478,1.1028953861736597,1.1782166611930005,1.1217731031790636,1.1121372734003077,1.0928497917082607,1.1290699797870338,1.1131213407423344,1.1734057637330808,1.2710033163211796,1.1782301520437781,1.2881405967099706,1.158742742305051,1.2988372493278841,1.1195132291115204,1.1084938431457663,1.1267581447869088,1.0923157345505432,1.6241803318686734,1.1720160878759396,1.42492649264145,1.3120669111897012,1.191509675718378,1.104943851039825,1.1102620831133185,1.1051607334006026,1.1014931332128501,1.106347153064098,1.1188827437325404,1.1297732611417635,1.1667689255411386,1.2021159422844907,1.3882940732319133,1.5521594273081258,1.2899731334766644,1.2264894637895525,1.1565160764622808,1.18913139514422,1.1299601632155407,1.1754742212319977,1.1381693370900385,1.1265655592963186,1.1472532423216915,1.1319933525880952,1.168900465378759,1.2283028507915,1.1341283920356928,1.1852374303113213,1.2222512097323366,1.1968299170962007,1.146001868991134,1.1677040729109187,1.123647833038323,1.1470074016263603,1.1450204605783623,1.197556560587984,1.174480834649555,1.3594407575248115,1.192540424285314,1.2479287376568056,1.1647439897918832,1.1417976620334387,1.1472145159071756,1.1700749218226427,1.1611002553114655,1.1327155663150632,1.1458519718251206,1.2642530783651462,1.5526580919041868,1.3210971223703725,1.546894287144232,1.4640889565859414,1.2623652958802047,1.214842451031288,1.1756342017885826,1.2284774464376478,1.232176859992085,1.3798274948685014,1.3666246735235137,1.5498648138693327,1.6221237480376394,1.6865846854702315,1.4832942130124651,1.551811025418187,1.808221716528304,1.7602440762346792,1.5432445803664916,1.767735738011708,2.0993420237636355,1.7929930462339296,1.8153853168068386,2.125741334450173,2.1407189470113948,1.8405746274672354,2.1250083968980964,1.8814919054040866,2.3341132536924376,1.815636279179511,1.9402065767350078,2.183473954143851,2.150933367484315,2.4961387241369306,2.4289000515325476,2.8244641494790046,2.2710844890662774,2.228738624858708,2.1026532563885247,2.015134782334082,2.0012615685035944,1.868459812160022,1.888952559719666,1.8321472277734512,1.8968904839981162,1.6545975378362476,1.5805017595822386,1.699144367304114,1.5757764333007083,1.4375404353562389,1.4682686977307038,1.5922939617459415,1.7098069330764876,1.920476017392103,1.9649576855128033,2.32720659315339,2.1501239216624386,1.9769856257931133,2.2354126647692167,2.3270917006417235,2.075927111066375,2.139911137694421,2.476785753318552,2.50147178160136,2.31281981500529,2.545639899856756,2.7371980385692023,2.6052376105313555,2.57199455351986,2.7529603195128596,2.497412165563168,2.488597880360717,2.2945597094603527,2.2952975293323066,2.329613721800326,2.0582018250465337,2.03224613412733,2.0571630907554814,1.9802801474592577,1.7302108221050416,1.8623404658494866,1.9493181548231187,1.6876708075611317,1.619625387396742,1.7578153697628371,1.9173194975615708,1.74928311483012,1.7326109060040091,1.8581962110237331,1.8989762935034429,1.9580900402323453,1.723617230751803,1.6243833155899707,1.5333320482832717,1.6330287225046545,1.585511252146377,1.672926950947415,1.6327474876096655,1.4951487476611818,1.1981209821613499,1.207916125193704,1.1166171077083242,1.5038587231327172,1.3399990946987999,1.7168906248906524,2.0392278218317226,1.3692534030662646,1.7002754344057895,1.822200950650857,1.3097877034385736,1.4784878198375362,1.7485738766325483,2.369338621769542,2.5306562976056957,1.6151172749196294,2.1164351264215937],[2.2647136780599713,1.7529846125097341,1.6990283967817004,1.4087783622023515,1.3574238971646369,1.4432823438077256,1.3038471163518268,1.28227747135175,1.1619816067643298,1.1432944470554434,1.0742626873797023,1.081466381549189,1.1106769271868644,1.1451098807081073,1.152065780768186,1.1102231440754204,1.1555935194528115,1.1370781480501415,1.2064500550059776,1.1920320774344482,1.2170927871992945,1.22867850034763,1.2831516057677759,1.3294368029611445,1.289099180592053,1.2266245810358147,1.1693872881443965,1.1680097959780127,1.1749140174784227,1.1318859984307867,1.0917930933188504,1.1079817918278376,1.0882584533940909,1.0603192237823285,1.0966252466273427,1.1151204035914772,1.1590690248581894,1.1464272446529524,1.220254301367468,1.2585676468876346,1.2905790020457544,1.2080274535908615,1.2044827658852357,1.327151920980572,1.714988324333145,2.188137719161581,2.288267995723694,1.5713473695253548,2.822203857542799,2.824037064565732,1.73720563201252,2.205885741011838,1.3609511528279001,1.3869832088483591,1.4724592130028054,1.2388844945885722,1.2309923879938656,1.2433910247791051,1.2952676746064178,1.4322055853248603,1.2875427627751,1.2710179443799428,1.2006668574589434,1.3177671993842401,1.2163531338119986,1.1927885822411302,1.2643828937741233,1.199738497310368,1.366286470433283,1.2443391130937447,1.4254612854870703,1.6588545275045607,1.3515091575585785,1.432965417721131,1.1662079348618064,1.4702294722757674,1.1631499858707643,1.1053439963242595,1.0971724226614772,1.1693013525011535,1.1811399446473965,1.2403698315058869,1.3058918242605948,1.2742971636688096,1.2729964858024283,1.2362996618544315,1.1898589134768565,1.2135437910898133,1.130583446200273,1.0934207460317567,1.1076185326489574,1.1759416092204622,1.109472862597812,1.0476997759669977,1.0496994193043458,1.0716458115249838,1.1203738162921233,1.0326283505660259,1.0648725620450707,1.1656602532998286,1.1333740824738134,1.2980935967238265,1.2166857756288962,1.3717256946767056,1.4345745651977015,1.4124864166019186,1.7502657002642505,1.6692883130250826,1.647348540723701,1.6832460912781069,1.554631867109879,1.3962097607037431,1.2969621244016756,1.2762154301128001,1.1887626904630306,1.2515114294386547,1.182431939912103,1.5707807309465651,1.3151722097314749,1.1573254899102507,1.1686738269214008,1.1279760203036506,1.3055578141796085,1.2554936112452544,1.2599654263817126,1.3176194069204832,1.3964269155770566,1.3835410327440247,1.4766610135787366,1.5564008198489234,1.5722234348714954,1.6764787032811177,1.5414045236218512,1.5817724369175272,1.4540793160956065,1.3803624293346002,1.4228246052143096,1.385503463069575,1.8540542592398839,1.414626952259904,1.539726907238961,1.4814010266718307,1.3467666606850417,1.263598111790208,1.242966274519903,1.1979447983380056,1.2193342839115096,1.1869944894833846,1.2279422864145453,1.2088003500581241,1.2706779536283472,1.252097144777656,1.4574676861168958,1.5619817481183451,1.2585016481824105,1.2296365246403311,1.1565577569977086,1.247437180050753,1.166945787521364,1.3179882593820529,1.2946608171878735,1.2357577710491574,1.32949791610788,1.2934375942425675,1.3916022674192583,1.520397235526937,1.443913764071378,1.5447342815948542,1.6014346137591269,1.5547795536751408,1.4688188088932532,1.4711727731526771,1.3587416876694132,1.3450426966334255,1.2852909842247304,1.31264072837109,1.2323252068769153,1.435319914876369,1.2924137862977239,1.3971283926839417,1.3604242682577894,1.3607101791667207,1.4142584985976512,1.4494922107248256,1.437233096382903,1.3490757696061517,1.3280220131348992,1.472239608495837,1.7356181552678005,1.5505838940133003,1.8346945474075007,1.759335682003681,1.617860006910216,1.5806464605059387,1.5731858192048191,1.6518530039310027,1.6319141325097586,1.8383462010102543,1.8549179176679422,1.9758991217078874,2.0895742148443675,2.079708017482923,1.8713860247703775,2.0232809038670645,2.2619580388599956,2.1486723391475957,1.9861819392773492,2.256764051887917,2.5204550877186254,2.1906764474122546,2.2831214623037153,2.5763679291820325,2.481980933570688,2.283239816091741,2.6247217262490863,2.415978425931333,2.869054446845103,2.388507187782008,2.5069689165077436,2.76122987761407,2.769486400236485,3.0464164392861717,3.0648681845749293,3.2898206396590637,2.804262144917297,2.7627390626635013,2.5701932128904614,2.5264169382408816,2.585194487036585,2.4023247621754917,2.3763260380869204,2.385954619992241,2.4303888021461413,2.163005963864964,2.0636594169357325,2.29184497474442,2.1231464747656084,1.9477219635581058,1.9907464512615451,2.053563863243224,2.1592881843180844,2.349922158109298,2.340136161314486,2.7092081762679774,2.4668211632940356,2.337280251350374,2.6262357652835395,2.6331944425532106,2.3481784014158746,2.501985006759841,2.8000275275221664,2.768694388880077,2.6346921539024835,2.922837853244813,3.0598449490357504,2.8899137956655836,2.9671372712994546,3.1952937056439117,2.9745381407048357,2.9656200331731917,2.743967827229869,2.7943531884291217,2.8646629896295375,2.5639690223310097,2.5422928065858077,2.6329029260727976,2.5358714728577243,2.270275238096841,2.4414927009297176,2.5366642369039867,2.25464667800865,2.1914768477651108,2.357299244612148,2.5120823102888363,2.3216649598436905,2.2710571556339842,2.398151511033342,2.4009791752374863,2.4715819075385292,2.215673239464458,2.1236311882331407,1.9955141499210534,2.0446185467002334,2.0229250761116337,2.1266737707794583,2.0755374963400555,1.9952367101428923,1.6244464125055114,1.6359893791926492,1.4923069748535924,1.8165117675243918,1.6067047646083434,1.9624842355886818,2.066252576959185,1.5435067058428922,1.8817350235435426,1.9452605974890897,1.4623690232946014,1.5497397030516178,1.924487745012696,2.601173053848271,2.641630563817288,1.7547064037893374,2.153287772690014],[2.278884305842702,1.635264861348586,1.4683485510338747,1.1115591881433562,0.9969739629131313,1.1333379293333712,0.9378613898478757,0.9335824066946719,0.8379802288922759,0.8064965157372926,0.8120940297663526,0.8786634259530612,0.8087892026165582,0.8652945766938545,0.9545051862820553,0.8908851575010498,0.8912082471633335,0.9201150580501458,0.9953428336903264,0.9528675006903949,0.9910487914105556,0.9671282863774604,1.0544841116064263,1.1456733175251343,0.9689992395510773,0.9397393116940068,0.8549648310956892,0.8383917857541605,0.8820803509447417,0.8651454653147109,0.9621248967873697,0.8943561822670227,1.0183799954541737,0.9834513974339442,0.9075037089868445,0.8871301145153597,0.8659535895081477,0.8356219557163588,0.8548069300223399,0.8751547190741339,0.9419545612156549,0.9009498161682187,0.8854064360894,1.0242030005436527,1.4109189992719773,1.9296430265432651,2.0222323668658104,1.2952608902129883,2.673147059045276,2.612876741536262,1.417316548768539,1.9665237570114422,1.0906445945386594,1.071717310010285,1.171510497987498,0.9143905203562822,0.9452754607726922,0.9430404221372016,1.01029100966571,1.2584046231841137,1.0395779610676414,1.0665314891594788,1.0494261560903784,1.2316274042205055,1.0422668343396946,0.9733249210206779,1.173428192122259,1.080143080523304,1.2566610682345727,1.1574607231346932,1.3577640860948716,1.6225354688563822,1.3188931529274805,1.4332079942069,1.103348472946854,1.4512399864411878,1.0586184040544715,1.0357962411160766,0.9512836108100601,0.9434769080642649,0.9264482551023746,0.9204040194099461,1.0372337087692325,0.9362792233528446,0.8990098234267411,0.8889538492690547,0.8642835042782282,0.9419826064999183,0.8967393308145059,0.9989116006334375,1.0291907501050854,1.13515003096588,1.08025199269848,1.0324005740381081,0.9802735535616436,1.0730803322886893,1.0358980402190467,0.9457130107139974,0.9265044244657722,1.0687205982988908,0.9413660156350148,1.037794370708825,0.9296338283040726,1.0434514215204536,1.0882304310743418,1.065369073913428,1.4722124716334575,1.3268548763875048,1.3065658124512838,1.3656965593560573,1.2097572763856919,1.0216747594362123,0.9131455989504978,0.8772026655245518,0.8228012677980235,0.8438363513389489,0.8320401735619164,1.1868492241098874,1.0058979555382654,0.9341426633688443,0.8970511927777457,0.8235720177798922,0.9214582558514649,0.8455135957665416,0.8507670978132666,0.8989814091823749,1.0113073963399626,0.9823721202019013,1.091231767768413,1.1675917854740927,1.2622973729509772,1.3624706147814283,1.1903992868042899,1.2441477673176202,1.0686931814666731,0.9752378252569425,1.0426088911448352,0.9765090684369871,1.5857005678190115,1.0318784823463987,1.1901655339504156,1.136253647364213,0.9764570132914125,0.8437272212549833,0.828133157687651,0.8324983142222475,0.8276609428479407,0.8196953620305608,0.8524734905403992,0.8440221668622646,0.9494639837821663,0.9693240147378744,1.2070558248943235,1.4078322935579923,1.1428054959599696,1.0264766185231948,0.9012665738306856,0.9486487858940941,0.8586354872770847,0.9422333826109499,0.9130442530521645,0.8666198342607571,0.9319950499225022,0.9017945834869333,0.9795782705424144,1.1144182725586331,1.0414749142181723,1.1734583677375567,1.2635595055286695,1.2103374265506301,1.0992696291964534,1.0848747769752953,0.9600362804607454,0.9362173512224652,0.9068969894011555,0.9716075934619578,0.9352764274581417,1.1445767446816073,0.9523242388831196,1.0286844033594957,0.9655352448008635,0.9810141066548974,1.0421266593135226,1.0774580007675352,1.0509560319109321,0.9772953466485418,0.9375008885432642,1.1259776100575754,1.4696080935905649,1.2521351991098804,1.5334591008552731,1.491084443252835,1.2849885238724332,1.2474194034669903,1.2649809280757272,1.3992218763218376,1.3875820835993369,1.6260896449827134,1.6625103432369461,1.8050568446593818,1.9395997484065413,1.9343836726292378,1.707064166428136,1.8859818204942655,2.1555826693136284,2.0408716379735705,1.8836190639965762,2.1728975331574696,2.449945209221215,2.121129219999468,2.2296824471317795,2.5419073819022526,2.449069829560643,2.2538607631941097,2.6200572726853597,2.3950583180159044,2.884130512043745,2.394799890456241,2.483150556126455,2.756799822594432,2.7554779136399232,3.11954127903691,3.076051376735298,3.2787798232197036,2.7582680733216987,2.693019385633431,2.482057133399511,2.4311356138651252,2.5038263026497245,2.2866103996086578,2.247469587578668,2.2517566305337593,2.300593283108214,2.011183656752924,1.914707911251288,2.1428365494303057,1.992681271482044,1.7772395260054275,1.8332160832927231,1.8696728107086567,2.008945384080124,2.2291795248613364,2.2219401270269463,2.608098563887244,2.358230642350728,2.211519035534622,2.5252710739257584,2.554817456191785,2.2717550646380578,2.40928371671584,2.7423534589584064,2.7190768246269776,2.5743374630243543,2.8736271667382045,3.0286748152483343,2.855645158117511,2.9296901593209097,3.1657100629556147,2.9323075681381283,2.91456146247841,2.6731991731207865,2.7323465415258856,2.8232189482077943,2.5007890356239204,2.463268266764269,2.5809637676965096,2.4949930230451507,2.1768695144691477,2.3683042940963825,2.4893199756369837,2.1791799086937735,2.090702516147871,2.2970775776091803,2.4911742995387507,2.259300227074719,2.189660894542726,2.3694205631037017,2.347511937508424,2.456765123333922,2.138587956676081,2.0445631593121427,1.906345124747094,1.9494143911580557,1.9124333881471538,1.99795594025141,1.9451412471011038,1.8736793895847912,1.4290004131237755,1.395924053446238,1.1703229510035662,1.6803144967994583,1.3424198677439072,1.7305064844094884,1.9207996405402115,1.2754146810696994,1.6858276535627612,1.7515241672862936,1.2038156827223798,1.4120815814232854,1.7196213555206554,2.324899367472312,2.4271672117542193,1.6142419407564388,2.172414302163566],[2.825294902043479,2.2694593970696633,2.1045573018503174,1.8113819697824802,1.6889596706667471,1.9735461190824792,1.7654738972232968,1.8151126790185041,1.7005277303074682,1.5232251652827347,1.4897075926756171,1.5613397073358948,1.5084337045587375,1.4041420198560992,1.4092191205203959,1.4074923091268001,1.4039730562759076,1.3502033152168276,1.2829589279833176,1.3534639765466785,1.301816887232734,1.3476353647252772,1.3348430452334699,1.4559310881649243,1.373783040931827,1.311060070361078,1.3985503846254659,1.374716077715364,1.4285996809217085,1.4949724867864704,1.352753735444918,1.4979108210092777,1.4998898411205708,1.4341019525868914,1.4785787893442774,1.4215739278899298,1.5408283167758232,1.4734339982439637,1.5336633831333815,1.586964395593718,1.5824630572386078,1.4395840566079663,1.422089396524067,1.6388266135424474,1.7328784664227614,2.164397827955596,2.2445547531259584,1.8459698863979308,3.0599657920115404,2.905903319221784,1.9478936555802633,2.5065218307875243,1.6768694655173915,1.7679245768476706,1.6994175315674396,1.5479450387386873,1.550377248958555,1.5085738900247354,1.5571065212806916,1.6056209080337045,1.4581499010473395,1.4382435303630168,1.4259332934977254,1.3650054713130293,1.3339494150332003,1.373044343797595,1.41205927235462,1.3444101629243514,1.3200928854614113,1.3137795054132486,1.3279029451944007,1.5681151859583162,1.3740043369265118,1.4726732714327708,1.3073893400810528,1.671235694592833,1.3627941705636648,1.3523817808721905,1.393959321491599,1.4536366884413767,1.5248479216826862,1.5847942204128962,1.710073599878672,1.696925975489222,1.6692055451050325,1.6123309694560104,1.5115177071760373,1.5698632454703128,1.425210121346698,1.4693247125000581,1.3415699943007762,1.33841259665639,1.3095434313663246,1.3710665712925114,1.377447962741128,1.3767814652053352,1.400007569501434,1.4614670631681064,1.5337126190283343,1.7810918299702396,1.6433269673670965,1.8225416753607533,1.7284841944286162,1.868381015135283,1.8837563523675303,1.876039513085174,2.1381751378001974,2.061281161132362,2.0440517282954964,2.093609953129321,1.9530555350152448,1.8044954086628198,1.7414991456714652,1.6259476310868441,1.4888258480917382,1.4635240956265756,1.3786219668375401,1.7234962456312688,1.341104184737935,1.3100154270941569,1.2899431465371296,1.2892203980522183,1.4701351895455106,1.4701003269229915,1.5443075248260312,1.6088210571463488,1.7728465901037014,1.7201199813174004,1.837175561965194,1.910535323484751,1.89799332918021,1.9883354435011467,1.8235013807578881,1.949769137408681,1.7421378460170764,1.704954940446787,1.6537913163070246,1.6599573680473412,2.14727010224473,1.6934495046114504,1.4556934656357023,1.4767431935915682,1.5261608803447686,1.4327422053585515,1.4287246921687142,1.4893076330930997,1.5056565820328676,1.556545088803314,1.649758194794009,1.6727931572016108,1.7960128802912763,1.8376729165184478,2.090132160170537,2.3130068104689903,1.989563845872878,1.8397874925886286,1.6758470661528428,1.7738316941294396,1.638444046872611,1.7720100467663178,1.6868576907561692,1.6221329332464853,1.616661709858563,1.615715881711085,1.633872424793579,1.6326107207806841,1.6274492520878878,1.643739540025734,1.753127762995987,1.7066346908870507,1.7018557748082228,1.7482709732334645,1.682793338778478,1.6923484981300876,1.6638215364493196,1.7396304367754742,1.6777322266508836,1.8346870383688278,1.7050553286508408,1.7727823052646514,1.737986230924726,1.7713588309776103,1.777140974134134,1.741499827239305,1.6596051472965192,1.5834927744634832,1.5876358412061113,1.4410357893243515,1.635171777179128,1.6294191523171848,1.818146972366157,1.9787819669422106,1.804970236579341,1.7725201350933661,1.824785624870847,1.899259950565375,1.8744526956338892,2.1512324516806416,2.17783399083518,2.3912808928480027,2.474559248520804,2.5314672128772697,2.339153264255413,2.404836337631213,2.6675032988474405,2.6411624233120548,2.382017146191155,2.621859316728198,2.9663429314805385,2.6975663461716852,2.690099002049365,2.9716641988080696,3.0234394842178567,2.7503204568444355,2.9550793032759266,2.6852814588454796,3.1138505512639645,2.5416907685585035,2.7429083368923344,2.9825810109889317,2.959236213534547,3.153033393791126,3.2318866586998047,3.5523731987424334,3.0708533652372263,3.0338820787802883,2.890941380403301,2.795691746493247,2.804249851883392,2.667604946548376,2.668384193047383,2.5933817841874025,2.6175963418653336,2.4107508770699937,2.3277883836033397,2.424313946280175,2.2766777293171496,2.2025787534698686,2.2837427406875688,2.424238895357564,2.531995274011548,2.733118736969813,2.775804496118404,3.1175565662032523,2.9593308442039477,2.789437883287973,3.070976516293242,3.150392574338755,2.8947361172538866,2.994089900635575,3.316636919958869,3.34762575944955,3.177662997770998,3.374137013655701,3.553372205715812,3.4324725329761425,3.401910765855793,3.559332987558269,3.3192729557375724,3.3090498006030975,3.125380872979959,3.120049249502568,3.144916688396721,2.8961262605815175,2.844772058669852,2.8701335178719014,2.784938564137685,2.5311631627890114,2.6380496636621746,2.671220098648128,2.4246031178977487,2.3753115786050363,2.479587583622705,2.5696550228555797,2.407381988822372,2.374252669045163,2.4313877406971627,2.421225947975171,2.489487824361642,2.3079666005290993,2.355633534940707,2.3416574825746705,2.2109843591807214,2.20648982695047,2.2121513564503594,2.2532050631656313,2.2529890755830686,2.000408210034596,2.0039910689740985,1.8686828897754713,2.3350995964756303,2.1365237982069156,2.5608292328083744,2.57757178990448,2.07714827740876,2.4710972150909405,2.6326985239838834,2.1561977833321113,2.2344842313197026,2.6303546635435193,3.25584832272055,3.1330976966565167,2.2229905071659912,2.6409157399966556],[2.3416607703328673,1.690402622452118,1.5087927228987377,1.2205544276899014,1.0923333395820838,1.3346292748108588,1.1431489314909171,1.1773773021463914,1.0968774134577997,0.9480481613467987,0.9370988324653421,1.0047172044926358,0.9345297732907408,0.8869272544242212,0.9322905426210567,0.9013337125784067,0.9039454417899392,0.9153827133687936,0.9337390065719445,0.9535504253486683,0.9535962758303009,0.954346838611852,1.0436174725970984,1.2205507648579197,1.0051294305981098,0.9673864354705075,0.9658365952798499,0.9058208575795045,0.9185539964838598,0.9681152351281469,0.9308152003833632,0.9805753702178852,1.0634557723627687,1.001541434994549,0.9731850409323161,0.9324110778578324,0.99161499277868,0.9519902433709154,0.9907965106190578,1.0216360118518084,1.0843697178342253,1.0130726443370839,0.9660608919555105,1.2012702150690153,1.3977026303097269,1.8400613768583685,1.9051513532725357,1.4164592788346924,2.7087594251004767,2.5094202576070623,1.4420783068537821,2.028674131585298,1.2304078849138769,1.2665988038176115,1.1953164324168342,1.0232899413349053,1.0978352233405313,0.991320819494501,1.056019862239326,1.260791347377695,1.0219679166286137,1.02424626743352,1.0137634690966797,1.1139807384195992,0.9775212748409201,0.9674315918225413,1.1376255315282298,1.0022541732262105,1.0880254813939105,1.001057818141076,1.1452414635650177,1.4682553268438139,1.144435867400662,1.2866660534157817,0.9885188765902191,1.398434501147348,0.9751985451331228,0.9662535813915888,0.9434151026571371,0.951966969537195,1.010896193532628,1.024559681550701,1.1851336483147474,1.1043354813805606,1.0734892386285055,1.034265316099136,0.9576314997525481,1.0477022836274805,0.9349595316429717,1.0127818228204666,0.9650133536175728,1.0181924523381738,0.9690491410273022,0.9820131806224001,0.9530651980738539,1.0056829298746264,1.0318119842067437,0.9803701894394543,1.0084627294565158,1.258764101643435,1.092627014577539,1.2486024597587388,1.1339512463770842,1.2494173476292085,1.2528084473403684,1.2536912731526617,1.5567154776688692,1.4352518262292573,1.4089404102465326,1.4776528483584879,1.3303270676090397,1.1789604423472169,1.1135204966874732,1.037625529206189,0.9517438340018302,0.956298356172722,0.9186355609204498,1.2660680961924589,0.9830394694971937,0.9387418372053558,0.9122234030281344,0.863459219692611,1.025034245652791,0.9682550508171627,1.0040369758361725,1.043518699751409,1.1593271275199533,1.1112438217896314,1.2078251481751405,1.2725332490041983,1.297117760183569,1.3872442896918415,1.2098611426701733,1.3442562012331916,1.1360529360039386,1.1099866215918746,1.1203028588831245,1.1008063546719111,1.6806288674071213,1.1663615979130788,1.2323908469792573,1.210763318777138,1.0685277180029673,0.9364740185850804,0.917418867035088,0.9652249764011167,0.9623017251010095,0.9631415151806177,1.0383532801834712,1.05486185085399,1.1707033859375398,1.2253331383581392,1.525655321331283,1.7831051148431467,1.454732292349635,1.2637724901628655,1.0788318344645937,1.1507858745313688,1.0449241416077004,1.1360080399701282,1.0870378420882938,1.0332788788213774,1.0662450206354317,1.053726563070309,1.114978423097951,1.1690262039073094,1.1067738166904066,1.2199944198196848,1.2906642253983815,1.25422067482008,1.1708465587957724,1.196191528505573,1.108562048772039,1.0879410782411003,1.0565418146583394,1.128571096863889,1.099698286643644,1.2789750517707497,1.107759435443114,1.1696580815578197,1.1280853158244224,1.151981664911105,1.1774002157192982,1.1424664545814225,1.0969463113575124,1.042880341918462,1.0495516809165668,1.0747669209412072,1.4784556198491288,1.2913245070894541,1.5027693383244471,1.5630690240472287,1.3433897075828434,1.2796639322266958,1.2734226711556986,1.3686379727313887,1.373429259542002,1.576363294703095,1.5942423069438758,1.8325299684296465,1.9023098626671973,1.9779031753665552,1.7685328375538194,1.8314301369312853,2.114861473425902,2.085674443334299,1.834814829127419,2.0735567413916627,2.447297973621974,2.143154417898501,2.144892532278352,2.457299599562793,2.497969484044331,2.202357996590271,2.454197799794448,2.195317426016778,2.6599108951873314,2.0941426979829756,2.2402687306138143,2.5031235399979055,2.4784505858117445,2.7864487958159856,2.7786594973071845,3.1235568494310817,2.586220280776909,2.545089925622946,2.3976137874523693,2.30182419759667,2.2964505200939453,2.121218023568642,2.130313134137155,2.044673403099425,2.086383290363512,1.8629420891028319,1.791762973530268,1.9058548911189004,1.7871834410192822,1.6720422968176019,1.7160130244134952,1.8593596177867,1.97705791233065,2.2019728869553257,2.2741650446066326,2.655990423905877,2.492776917616768,2.284767783644989,2.5811831132910896,2.706944057285606,2.427450322580371,2.4954592453433833,2.8752086056893544,2.9142553704244127,2.695599447627806,2.9225573748282825,3.143317325233108,2.998610360299219,2.9378440852254157,3.135093690861106,2.8485053728611134,2.844625010143712,2.6445935503689313,2.6364398259627535,2.664967185383838,2.3748925334284685,2.3273764047282013,2.3626606220625566,2.278371599786592,1.9944636301458956,2.116542756864984,2.202398657629206,1.9296988426106059,1.8706947005335441,2.00567887603639,2.1973884370905528,1.982954812509165,1.9460522383176189,2.0821400533514707,2.1065831369135934,2.1390751459261903,1.9072689301278944,1.8607086798766326,1.8114851837273775,1.803381700150709,1.778756239281847,1.834481868698985,1.8367836215368047,1.7384489915281085,1.4296691266480093,1.4009247310361046,1.2513971870325151,1.7968356566487649,1.5284704461432648,1.9525893621688013,2.158665207258959,1.4993697793345608,1.9025805953958348,2.0532875124819516,1.5168470619954229,1.7236364726917273,2.03002316944135,2.569670418157305,2.5407304238213486,1.7481641934186227,2.4213321564788446],[2.4137451287869953,1.7183887578788235,1.5079653547267644,1.2178377239745208,1.0667966198226335,1.3452795897057526,1.1433535163748887,1.1750665645047087,1.093672200198694,0.92925878806128,0.9172232237120967,0.9949829790795985,0.9192152457322392,0.8411994253500781,0.8937599491388161,0.8656034900814022,0.863806177865579,0.8521258812814277,0.8382802205247396,0.8752920258479506,0.8561759194990557,0.8733525286871638,0.9275051584462402,1.1020503938628752,0.904437453522055,0.8577957726665496,0.8854698754421647,0.831621601944246,0.8727063457000979,0.9342994013321276,0.8748916964448462,0.941702683456082,1.017425562107098,0.9570599192727723,0.9374626080946118,0.8891970113589395,0.9622844405291244,0.9098359554207979,0.9407845325766722,0.9743404329841859,1.0290357740483664,0.9300404106994458,0.8893303154725787,1.127938045547816,1.3293476763578074,1.8002074309315983,1.8770746242169123,1.3569007256385384,2.6807616882775944,2.49667606735226,1.4195182704271996,1.9871866748840257,1.1998850675080939,1.2186479994838342,1.144237368719312,0.9604767316620727,1.0214540386391218,0.9406274618068706,1.0243690629507147,1.1601703424245788,0.9522344496854721,0.9812919912987151,0.9665327847909575,1.0474449864286484,0.8960095456625056,0.8926547058683078,1.0534213948944673,0.927089688157689,0.9977864393005195,0.9259234993181035,1.058754087285217,1.3905936597272637,1.0685281031451364,1.2155781831617236,0.9238015395483145,1.3580136292967806,0.9270955951481447,0.9125178185139736,0.8975980422249273,0.9165834283891636,0.9812583558428958,0.9967422833923051,1.2036076198580192,1.1008539509431559,1.0539507336552598,1.0169692806713395,0.927822195021407,1.0094420128013004,0.887655158771797,0.9795568717488488,0.9012612538498229,0.9651213177820264,0.9034633960021486,0.925927883052581,0.9049572425783726,0.9550211573983344,0.9710817677933219,0.9556077918237944,0.9933695362611672,1.2266251100969916,1.0765310134571884,1.2410169997216032,1.1158557615548585,1.2174674415139937,1.2296639636320885,1.2321809239851471,1.5080475198724845,1.3803168669419246,1.3620321762959815,1.4373211277312983,1.2959356683781402,1.163198663919107,1.1017793831985043,1.0145461535720512,0.9089152548139164,0.8919146267765553,0.8374869688305866,1.2201483386618266,0.9088515557736208,0.8499888991391202,0.8148957580176062,0.7774188137274728,0.9431235471070646,0.9015770260198185,0.959774595133556,1.0092797480064457,1.1515353904220877,1.0895938809815469,1.188032112917164,1.2396349622207703,1.2774143500007107,1.3575969607229963,1.1743189400210872,1.3011635825934644,1.1056984015685523,1.078406223620571,1.0901651213100538,1.061628784323877,1.6426990169476674,1.1074789763680295,1.1094436554045801,1.0604526743401257,0.9777180077919619,0.8451287432591377,0.837670256651929,0.9179338491162395,0.9137126009731575,0.9419852667421267,1.0202266353930378,1.0420585628788128,1.1625343237312709,1.236654416520069,1.5257512819082455,1.810984858821976,1.4492520072694959,1.2636635976719457,1.0695998280542487,1.1392316599539698,1.0249182569723516,1.1222053946681712,1.0656236075575798,1.0077171639772,1.0209764973201259,1.0113305894113105,1.0648922770625162,1.0687475256834522,1.0418409657165062,1.123052594810761,1.2057053997472984,1.1751525933059948,1.1134827570817158,1.1492117769513097,1.0733498478047718,1.0570615015802887,1.037826279917816,1.1050007151886887,1.0886253428483395,1.2606311500832763,1.0950978055875575,1.1446781955635283,1.0957202720454953,1.1255609905857844,1.1432451690560357,1.103919493897103,1.0556616550907962,0.9877697583538646,0.9941057927269027,1.0051449244031598,1.411867404029398,1.2283243081997206,1.4492852831124166,1.5642597597646342,1.303579009173361,1.2567425806520474,1.2471743750540836,1.329361864175305,1.3483875218533476,1.5314508154663604,1.5461572826134695,1.8331458390944162,1.8679902263425652,1.9498500562821892,1.7588123939579627,1.8029784658179702,2.0797142525793144,2.075683046921514,1.8217439209012583,2.042281530908733,2.41689375625354,2.1511433056542995,2.1252367637348777,2.4177991548391224,2.508267079606194,2.201803971246633,2.4117900654205764,2.140100111132469,2.576494528920063,2.0063421731592213,2.1647937708121354,2.3972252492432404,2.3571661256411502,2.6586104604129117,2.6430183493843016,3.029100841546826,2.502029660961812,2.4391914282281086,2.319170693866456,2.1989385160284542,2.177377252356937,2.0320454430927692,2.0534810878199767,1.9570483106436598,2.0086047337804014,1.799833118238249,1.754836408750963,1.8133916051630599,1.7038600128723012,1.6094219256068594,1.666979353701135,1.8313396920967695,1.9295212001818451,2.151213461784405,2.2267044403538345,2.6036848544470024,2.4486579490256477,2.246502055827104,2.5144468022307263,2.627697576174908,2.3967192868755482,2.453187079989896,2.8127307929183685,2.8714356784548993,2.658730606962568,2.8553342388763543,3.074512506800189,2.962493749508482,2.876721763439597,3.0251288893340043,2.759112245538928,2.7424288203313925,2.567199652730886,2.538768550808925,2.5466361595072953,2.3027123598912906,2.242231810974583,2.2591572625578027,2.190572434974657,1.91994750997241,2.006600708086517,2.0761899013767944,1.8422704502410512,1.7872082512687864,1.8879072342332124,2.06361513047087,1.8827849601057511,1.8629524986734909,1.972008017198831,2.0077345913090743,2.0280152866865655,1.8353015983244452,1.8071325997240328,1.7857110153890956,1.7484229913225415,1.7159898155168378,1.7649162853162719,1.7802499257905202,1.6980455116495867,1.4066544602746602,1.3692312641348294,1.237635360856827,1.8322088601411057,1.5052546247468788,1.9149217483033056,2.131859922045046,1.486407563664483,1.87265636745313,2.0163171881378243,1.5301857211820893,1.7781788766345856,2.025307762332649,2.558600193463118,2.5911863361287493,1.6405403113857078,2.2958879895777478],[2.5008097932866664,1.8130153509138593,1.628419162430577,1.4717894784967682,1.2718269627058048,1.5231017556019235,1.3855676336102207,1.3456596880823748,1.3186682285980122,1.2508404469400731,1.2404813704663598,1.224670727554121,1.2227039599454912,1.2297889930444332,1.2591339480061414,1.2278790852512957,1.212073497745255,1.2273319641352702,1.238973325664706,1.2623699827585562,1.2463010679780202,1.2491070040384307,1.3079791995183772,1.5096039864974677,1.286383548122733,1.2624185048606842,1.2597152339124293,1.2208541874546177,1.2494980305460683,1.2706747631318267,1.2527458541694052,1.240071030039214,1.2957926971898608,1.3027627874315513,1.2688488442026098,1.2465728887193006,1.2780705772819716,1.2553020720294996,1.271067988199339,1.2845641737590319,1.3450680550351068,1.2817612694831526,1.2458437312606039,1.4606904052387872,1.5529698159997334,1.9753051493227276,2.0414853546150318,1.6054875975018021,2.800010165015146,2.592382354190782,1.661897634328396,2.1813299172258485,1.379029044312466,1.4713566526949868,1.425194875048116,1.2814766204435248,1.3523060168002805,1.2861928827344236,1.3551181475004719,1.485731237751529,1.287021303950152,1.2900501446112858,1.3060931371783313,1.385122047704135,1.2776818208800438,1.2969739896937698,1.4473992835624363,1.3189181652658666,1.3684163898365742,1.3150960411316002,1.4101243364609968,1.6870443059007152,1.4202860591560764,1.5861528712837736,1.2992599543830716,1.6958869317699306,1.2971508572555233,1.268210714910175,1.2585073804162337,1.2755990383221467,1.2955953056536047,1.296528335939801,1.4390635709831325,1.3371522584399849,1.3256465514664502,1.3044101465125126,1.2597471608263182,1.3046877592633834,1.2484163342744625,1.312973750864685,1.2810048442395925,1.3044091191661407,1.2865441070782855,1.3092246110308883,1.2691802205119223,1.3154186271629784,1.3295134816465153,1.2486352546054251,1.2398232031419452,1.3975855190469249,1.2720699482222875,1.3780523649503058,1.2896486657991437,1.3360857647959004,1.3658286910933894,1.370594775319215,1.5934080461175553,1.5053129780929664,1.4905656752829302,1.5460155291164166,1.4563092284470929,1.3689175946326646,1.3347032067288147,1.3091859066813791,1.2588618043490833,1.2814775033557566,1.2289528336473516,1.5248335569565417,1.3417327219794672,1.2663814382533118,1.2497320521137063,1.2209959717474836,1.3395700550936607,1.3004593220089817,1.3083517128604336,1.334382560386546,1.3903000985001872,1.3331726733063765,1.3978294474911526,1.4188283402863358,1.4718903791377678,1.510144890530582,1.3743468657424067,1.4714624815963555,1.3375772463411773,1.3163581254321959,1.3251264042767241,1.3722183486249426,1.9733338628484107,1.4786862971197916,1.3898578874920462,1.3720725636614586,1.371226254361292,1.2308224630244426,1.2226088895950913,1.266973010554854,1.2631656249143548,1.2339139075537626,1.2694449113387312,1.263249112276271,1.292571761587764,1.367191429528893,1.6317005108612435,1.8884115684078735,1.6260653323610572,1.385507672020921,1.2408379410944559,1.2744697953146766,1.251257595933853,1.2982593859364067,1.3211462291735918,1.2929217528061994,1.3496997942673035,1.3230809162268746,1.3957770940821068,1.4122266588808006,1.378471807027827,1.470094381045135,1.5295168138547939,1.514090912915234,1.420319093440457,1.4480442073524105,1.3450191546252799,1.3069237379020786,1.2890421651712098,1.3214841907502917,1.3295217929616394,1.4388815419861773,1.3421814305254047,1.3484774094784797,1.3188873812233959,1.3184005994590933,1.3461064235055529,1.326380923311528,1.3062151928485004,1.2760251350968392,1.31795910982615,1.3908020291513379,1.826252776548022,1.5682324051984324,1.7939897120308066,1.87128120532377,1.611395937832688,1.5296756951393433,1.470492282640912,1.5229559357013065,1.535093223123087,1.6736746755743055,1.6829345726159428,1.935634712550442,1.9644093351794814,2.0532934800907414,1.8775702383941266,1.9270794305301127,2.174738873061499,2.1831352398576533,1.9690567429349748,2.150048799425006,2.494211512476418,2.25976079452397,2.2359912470109458,2.501463136385826,2.585550252196634,2.3183373518462593,2.5167155909993975,2.2683722415481453,2.6613529220724703,2.144655595096715,2.279608171599953,2.490016418564994,2.44903876701175,2.7646435705341528,2.698574057182044,3.069089969058592,2.5589901529272794,2.505538563142529,2.394065638379113,2.2790168545137948,2.2489619453434613,2.1122309011030227,2.125764449338809,2.028677315726944,2.0937688661514584,1.8957504443871642,1.861507609324638,1.9042044240797376,1.8316333068690243,1.7398207938364945,1.7868879719606319,1.9313979135500652,2.02429670583401,2.2297278340080355,2.322504824725617,2.6692791384434846,2.5598045720504654,2.3517275174395875,2.595053656638077,2.7166699318801166,2.4994442493214737,2.5498255016488853,2.8963705112462823,2.9608730864322106,2.7477092153601683,2.915998320242388,3.130118086053559,3.0254783231752906,2.930943598408146,3.074540969988006,2.81862512474087,2.803303247611574,2.6364853641574038,2.6037910972588687,2.6127065283450057,2.3793060030701962,2.3206345138362225,2.340643998409332,2.2842133660349395,2.0264243538245044,2.1021373465814026,2.194347793725357,1.970826114044397,1.9015345108226127,2.0026700358684595,2.1807381267872534,2.015010635852744,2.0094318407387144,2.12574226809418,2.160133340599014,2.166405809154222,1.9941073869856965,1.959810825839954,1.956481916111066,1.927228191540149,1.8929326091764958,1.9297770828438188,1.9706670133639168,1.857055031501529,1.5852706554633147,1.5284366055846967,1.4269248254843598,2.0046204919698245,1.5731723331159728,1.927653502173847,2.1554430793585153,1.5552324653003573,1.8944483915785906,2.021244955179406,1.6284099577315154,1.9075384195932383,2.095653380506032,2.4930167857009593,2.4822889926582437,1.61075272751515,2.4313922082551156],[2.0175774862601723,1.3174193758721562,1.1733564211064698,0.9185503156282548,0.774799014023476,0.9809282315320215,0.8149462052903391,0.8256147589123495,0.7695286239344432,0.6701470790277173,0.6685941668938534,0.7361031201580458,0.665575681945365,0.6512046110925414,0.7505861626098171,0.7010325275241884,0.6896907695780743,0.7370843351022647,0.7841061777438957,0.7857518770497015,0.8069287200976321,0.8031441847024207,0.9406082451358516,1.1309236398709268,0.8285699424835861,0.8063755756125345,0.7752494802769674,0.7024466211742034,0.7100805430219637,0.7384800294024011,0.7536427186387905,0.7581385166579319,0.8612576860368091,0.841026048708852,0.7756197068591479,0.7422711981436491,0.7517361595285993,0.7371361781444636,0.7388673085965697,0.7537165466425455,0.8613747183659125,0.8088013879268442,0.767219870846173,0.9819568185262074,1.2597067572037541,1.6940456954329446,1.7404759258464537,1.2090119436672968,2.5139996012503985,2.26255601950688,1.2478874997407334,1.7329302610214867,1.0629127432920393,1.030105194357841,1.0534959584423322,0.7913490504365608,0.8608280564080946,0.8078065838767036,0.9187346172694179,1.0635419493995888,0.869316445507367,0.8913270381280101,0.8820076174592938,1.0489572473881925,0.8579499475463159,0.8245560772660061,1.031390480476389,0.8950700068564666,1.0340663654683178,0.9078520718341867,1.0841913404614214,1.4526365272734236,1.0804291849432954,1.2526331950535368,0.890823367762831,1.3397616971294073,0.8662424326497683,0.8491777608917378,0.79720927638059,0.7875884628580228,0.8157720036720859,0.7952801641024754,0.9886030428665694,0.8538211765813011,0.7791670398363529,0.7730247812352283,0.7391202441569124,0.8091157948812834,0.7473787815929649,0.8583086990187547,0.8417528115589517,0.887936673357764,0.8386619886185731,0.8327469688101357,0.7817749591562728,0.861088518212507,0.866602101003661,0.7775789183750573,0.7742039117562126,1.0100653591399236,0.8332182497597523,0.9504219710599594,0.8259550641829477,0.8855494507056347,0.8932044892371506,0.8931461177120165,1.2085417732805013,1.0761058730434114,1.067688256981482,1.1068230704093496,0.991287622840778,0.8365965561106854,0.7816885466512343,0.7525923462521341,0.6863018124572716,0.7143859022892944,0.7052056606532358,1.0359925276243411,0.8579030461315678,0.8030002123455008,0.7523526913280577,0.6838516564427113,0.8130312991287746,0.737582377089651,0.7478884963712685,0.7814105938506126,0.8476496029796585,0.7908862938129475,0.8839001777825664,0.9395699843329746,0.9503820062760072,1.0239290485700725,0.8635654661317035,1.0399777123622973,0.8200657456657935,0.8013406265687729,0.892824734104553,0.8489938570176045,1.4916862964991533,0.9167056157970633,1.1595887235235889,1.0462118836449141,0.8660698453406878,0.6971156545541404,0.6756438821377166,0.7270488062354502,0.7029802123854806,0.6904176762601631,0.7222259060684826,0.7234791872048975,0.8236649827048932,0.8881529672375786,1.2612014174299426,1.5449214792266774,1.17836205102018,0.9831889834476214,0.7783520654057916,0.8276909064598916,0.7485307602358926,0.7906658148199134,0.7786296790629261,0.7524984383723864,0.8026042510041367,0.780356762776317,0.8787113385891117,0.9319546656791036,0.8712516983359577,0.9980490697536338,1.0486511296441179,1.0343188320428225,0.9093305705384678,0.9179582866800092,0.821270432027733,0.7803403897551787,0.7515476282733474,0.7994359125838251,0.801458736830832,0.9879763598971977,0.8129367248106909,0.8515334801258809,0.797245521049057,0.8074542388444884,0.8464428647373341,0.8234211201748112,0.818226604548212,0.7743505708956174,0.8079369483552623,1.0083872725150462,1.4771588703555394,1.1404194170245505,1.3593846317294467,1.382552750105416,1.0857104209243702,1.0189578475891694,0.9739484133641112,1.0539515146312417,1.083041872080298,1.2224453995116433,1.2245858352798298,1.4609598075663834,1.533633335967911,1.6444005733531017,1.4172238806816368,1.4602221242162627,1.7538371941343087,1.731791491680537,1.4930745598735877,1.6929419215868646,2.082730030653255,1.763227201258996,1.7455507008564495,2.059436344702074,2.1085636747323586,1.7852755054618374,2.0373131103585047,1.8035204446729551,2.270835843965548,1.7407701970664258,1.8430875524968606,2.1011241628247417,2.069779560159933,2.465911694142463,2.3734574356204696,2.766752306543502,2.203338289870554,2.1915567888807574,2.095683026276851,2.005326885643986,1.9283773673202633,1.7553262284635718,1.7983116076852832,1.6869391014691666,1.739458967373825,1.5237568770999301,1.5070714266545897,1.540738250926857,1.4364360068743194,1.3038582754632622,1.341394923795307,1.510978086975694,1.6455115809826124,1.8956290596245988,2.00247090712784,2.3911691792281533,2.2564033148497105,2.018598932831267,2.2796783525699023,2.4282947309200402,2.169910980665659,2.177211782916066,2.5724214166329267,2.6206856868909267,2.3525020364163867,2.5802514734100415,2.8184246428223654,2.6581963646046205,2.5652911096714863,2.7608429546776554,2.470640328143988,2.4843405628427866,2.2971566121811975,2.2781403517696037,2.2807872931020037,1.9884903984670583,1.949730507250724,1.9741297181738535,1.8919275883019058,1.6047584604793905,1.7217424792347487,1.819043710524996,1.5491225501094223,1.4997834001788577,1.6110337247250748,1.824710637626647,1.6330943743456834,1.6178846873139823,1.773886790627438,1.838619752380724,1.8727944410017934,1.6232424318122922,1.507109705428308,1.4493472460494239,1.5269968112962162,1.483098693584818,1.5679868845137035,1.5407424744677591,1.3991697806492387,1.0870512205061547,1.0302069506556566,0.8985288859495846,1.4828144349929697,1.1690989447847582,1.5810388647244777,2.008274936240576,1.1760449591746123,1.578360419231292,1.7217349873438041,1.1158658203012972,1.630629692366145,1.7926783849986898,2.0710642215257313,2.195456526020232,1.7043236967073023,2.561915390863676],[1.9043220293553371,1.0964992471328407,0.93584008860307,0.6066330471655054,0.5947865283894156,0.6683963360069075,0.5183260186520089,0.5826590769905934,0.5492895393998029,0.47417406824319674,0.5370628933153178,0.6432105979873088,0.526185704186257,0.5151318225799416,0.6810316917100904,0.6234095689904657,0.6113174466493676,0.6694083072791681,0.7231831419061873,0.7117160295749542,0.7510852291507988,0.7321059054407787,0.8951016702987385,1.0332078829231144,0.7338361433080325,0.7248043229337591,0.623201100629341,0.5702369448537344,0.5852338058526464,0.6039923751429841,0.711066992771132,0.6698905784734839,0.794413499735085,0.7762824720188739,0.6997487001823948,0.6614502912332126,0.6369206185691488,0.6030175324428393,0.5588637810298687,0.5559265480615928,0.6549889169353463,0.6983181015628255,0.6794847173209095,0.8084094965591216,1.2237817987400004,1.5838700286515497,1.6534479630902092,0.995713231136264,2.286484234197635,2.0632108322543954,1.0834299639076295,1.4881771264203107,1.037554291663677,0.8690493093008274,1.02525961207949,0.6951579281991358,0.7055966991106087,0.7302149659429725,0.8673902891589954,0.9614275470524513,0.8137147862688461,0.8670600492326449,0.8410721182068887,1.0707451999000197,0.8086736526460062,0.7258156973845651,0.9955381638822717,0.8620257353672428,1.0492112569037002,0.8962421546747058,1.1203468219295913,1.4920308532248634,1.0815244397073696,1.1972650154241793,0.8608615001714061,1.2915999194457581,0.8137025586081581,0.8212404796496215,0.7430496560342046,0.7135435223766423,0.7111225597077404,0.6638094070572761,0.8832915821513518,0.70158113065227,0.5767449588147332,0.603979157787831,0.6201860711799326,0.708598873014775,0.6740508855521966,0.7904077656368483,0.8048592151283328,0.9134202180801145,0.8296300632845939,0.7833404162508543,0.7372125376980125,0.826874737892537,0.8463238108114004,0.7248689468831511,0.7105013248732746,0.9320644198467378,0.7452905339501893,0.8669714161773729,0.7038642707399141,0.7437840809046923,0.7020629213616112,0.6850483811839224,1.0072459443239352,0.8301741177865681,0.8284439761636568,0.8560375936354014,0.7327030762024814,0.562754349814306,0.5205570063097252,0.4819237575524885,0.48806806784741885,0.4764774993168525,0.5931559417074633,0.8060952574436986,0.7675051323380593,0.7513723646623252,0.6613612932028685,0.5744677115054477,0.615593251558816,0.46080662891549,0.46976657191540655,0.49310542697785,0.5517773154447148,0.5331745567430237,0.6016404203059674,0.6888048708525616,0.6874674955620859,0.758787290450685,0.601310795511152,0.81530879020082,0.5597722388612923,0.591883152593158,0.7758528517195087,0.5849716108802625,1.1493772172872878,0.5744671854565991,1.30536911232812,1.0810073229403987,0.6790716335468485,0.5440306480638606,0.5130945597033549,0.5387371123992553,0.4900455461320601,0.5282691377847456,0.5149093691655188,0.5363937357573416,0.6614721394237315,0.732024939134915,1.1562692231755103,1.4389178656199078,1.0367965065226372,0.8670000488013259,0.6556671485652572,0.6925594583664361,0.6009447635002068,0.6107505575679671,0.538592243464595,0.5516090445478525,0.5239486550646554,0.5260566554214008,0.5944775344245062,0.6531400456812149,0.5866053166858126,0.7110018384852383,0.7420850336304731,0.7453052758194758,0.6249239370057394,0.6159831140710754,0.5592903673057296,0.5482852000686501,0.5352748707504008,0.6026949726547278,0.6354314867770684,0.8736684176687167,0.6149210601836497,0.6841087955999927,0.569534497232841,0.5827882528124781,0.6104640415056558,0.5838692130627678,0.6030899757047993,0.5896334549237039,0.5947504473300584,0.9802038213159762,1.4014106158886035,1.0286505027638773,1.248708189273523,1.201432932760689,0.9156451897531273,0.851257027641708,0.7461790567993826,0.8444851670979361,0.9020359953126658,0.9583914952832868,0.9434481119783734,1.225799474963027,1.2880230366312586,1.4375205638697277,1.1746151017562079,1.1791053295652194,1.5285065652455068,1.5071076696657129,1.2260802810097615,1.4300934891521933,1.8902333255382038,1.515735108880195,1.4783505550224998,1.8374467700137365,1.903355478792662,1.512871633878612,1.7855735175797713,1.533829733675057,2.04837565665008,1.4517791366248551,1.5540468429086287,1.8606306031675115,1.8239097855220732,2.3815075456319805,2.160705435812326,2.6030492578119495,2.036593992060567,2.036242145653675,1.950842409879699,1.8345307525338395,1.7339779455804818,1.517082283462618,1.5689961713722065,1.4266977921574109,1.4535691819613747,1.2499192375554218,1.2810502613515304,1.2485819551102941,1.1375001685273871,1.0487679196819295,1.0464086813847684,1.2903322051058004,1.4280469442657096,1.7012563946256583,1.8472811726150835,2.273472005481782,2.140772212422198,1.8692495817039807,2.148225822844343,2.3320974561722645,2.0410374345593825,2.0323261592460233,2.4671879666455463,2.521409821175421,2.209296340565033,2.4605628050322452,2.7328023962174512,2.550223308527721,2.42624383014253,2.636368466243356,2.307281782177615,2.332319910205468,2.1390069243514707,2.1157591281211126,2.1011899717899007,1.7700837134932064,1.7347791828544623,1.7338026426882283,1.6315547117142437,1.323634753037343,1.4471305208489407,1.511298200676839,1.2442615442878626,1.1943033549311999,1.306367620671972,1.5377850390051413,1.3352174886601553,1.324649585288408,1.496661003726189,1.588062851938509,1.609264306377193,1.3597796239171158,1.207120618246861,1.1265229480643932,1.276789851729797,1.1972503847249758,1.3123189540137212,1.2333589460546612,1.1028284765609828,0.7992057495707723,0.7343826767620506,0.6333662338691672,1.2474338769960103,0.9531416203706138,1.3759704437858844,1.9750732723513125,1.0150797514050844,1.3995732682306148,1.5595766105460158,0.8753125326464009,1.6031473569245422,1.6948346344258591,1.8670913753294593,2.0882423001828814,1.7015505017100614,2.4636899296919954],[2.2304604157646044,1.3719306915887988,1.1996112169242135,0.9129336900332397,0.7786248747243676,1.0730393807035625,0.9115276047309971,0.9214535608646742,0.8730712913789399,0.7563753844427703,0.7673790540115776,0.8315623301797769,0.7567442677554033,0.7073642693238846,0.7921336214727015,0.7559517222494816,0.7268683078331042,0.7605351339658555,0.7855248337259109,0.7965276009445101,0.8079065170701314,0.8026147306876384,0.9547865739212009,1.1534144736284053,0.805124472657909,0.7890709983666527,0.7923226272569426,0.7072645617169778,0.747413051315739,0.8013532421538172,0.7944898910196702,0.8427338170824575,0.9252711703072315,0.9026447137674531,0.8461871578918189,0.8009307831724767,0.8450941163339649,0.7841618782796451,0.7794978385063739,0.8026471496280038,0.8887518077328944,0.8172928508248176,0.7876163996468295,0.9822111204771969,1.2190047011649239,1.6058070504599153,1.6522183129921004,1.2080734585367967,2.480734627762342,2.1874402075453876,1.249316367980984,1.703533190765427,1.0078954426945248,1.0358662009039,1.0789755489913868,0.8398850675973802,0.9062646938744048,0.8534270090338886,0.9659183857568471,1.1278008690639416,0.9053015982499271,0.9330651398672926,0.9368039934906686,1.0744071303777456,0.8628233643788773,0.859963887795362,1.0547064101549826,0.9119262131061845,1.0387681038864685,0.9058389116580121,1.0851540768296082,1.46810137627828,1.0736257196995134,1.253688816889079,0.906025754646642,1.3633405072603912,0.9092597759601869,0.8908595624199566,0.8477255887540256,0.8440927593929077,0.8806833803742168,0.858240996249897,1.0338470467412715,0.9069336501080744,0.8492074836731981,0.8440946775068119,0.790387928422261,0.8865532232039591,0.8038926390917775,0.923021911706979,0.8839090062350053,0.903275536992734,0.8787990589292111,0.895971428265136,0.8386234864294573,0.9089337446089589,0.9093490876033256,0.8544380484224221,0.8666759963769675,1.1460558239914012,0.927966814881749,1.0777896219944472,0.9272233641176157,0.9905009165056854,0.9769887235038686,0.9446947619078472,1.2932323354809703,1.1289611094048366,1.1162613510339285,1.1887919209016091,1.0528005146337478,0.9049752270092662,0.8665008933393673,0.7767777136590976,0.713034413146973,0.7127369674228536,0.6922920464914765,0.9452231087175192,0.8448482758666855,0.8124240846110263,0.7377870275207526,0.6868419089872374,0.7666559989514371,0.7350127084311789,0.7611550028285875,0.7906634745822974,0.9125867079155466,0.8255571803029779,0.9199447990220622,0.9776036885263814,1.0129298201405499,1.0630738249057359,0.8963287694095359,1.0876121399697751,0.8300341322929862,0.79560340724561,0.8654148921800512,0.8725574213233213,1.5422398953825,0.8977171865589836,1.1415903751682248,0.9820436554121529,0.8355595224400553,0.6803108356946315,0.6622484799288989,0.7392431926626194,0.7181064448471631,0.7419861484027743,0.795444238404331,0.8107961772700973,0.9363532677299788,1.044418182609167,1.432929397835718,1.7749214438591674,1.3933610773790683,1.1254864216766953,0.9026435631099461,0.9355879261474777,0.8482617160946733,0.8823289321013945,0.8305905868759876,0.8080243326087956,0.8111303935121716,0.8029789477715021,0.8522247245975918,0.898203625149097,0.8623785967621419,0.9565427763782534,1.0418220922128898,1.0416413202801071,0.9208007839892035,0.9403265946143421,0.8397034812576578,0.8212316119316925,0.8229121657582594,0.8815293895771201,0.8797510291436027,1.0598858103625854,0.8887479236524358,0.9096660141235888,0.8522587499301355,0.8565144743832434,0.8658831997767599,0.8502342450389732,0.8325613827650483,0.8063569241333091,0.8285206951323579,1.0854159925217084,1.48765926817922,1.178624441183017,1.4000238981542157,1.4947335152380115,1.1555921068015693,1.078685858609508,1.0038837387794157,1.0820571540203956,1.1155955124530703,1.2730198959323689,1.2704217452112778,1.5746085930119018,1.6403711574057889,1.8001700744965625,1.554843140575449,1.5605199109012122,1.892956343908867,1.9006332063537021,1.6054843709972935,1.8124011061821461,2.2539108477239824,1.93964551943707,1.8864877703712386,2.2072607219306977,2.307622628231614,1.9380316469421588,2.1659797299314434,1.902512086124951,2.369151583395472,1.7455745131416718,1.8969555609262794,2.1590186881153435,2.1055850599487473,2.5798025460378877,2.3996451193422357,2.8728274086648136,2.3371558179954826,2.3239649664704305,2.2486906417568946,2.114261112546058,2.025138934203868,1.8221334787860677,1.8561176088997104,1.7037415264575229,1.7245793903962516,1.5311471350543684,1.531538096981163,1.5013176052211292,1.4184108786787248,1.344669629651883,1.3806904933346948,1.6237942712618392,1.7497114203921151,2.0093554692216364,2.1723094188198044,2.5726023523721233,2.483482973212939,2.2013629688973197,2.4671281034469494,2.6585205245987336,2.390587134621688,2.3973263976325896,2.809195392272461,2.8826105031413936,2.5889280392697818,2.785918395758965,3.0519180574276112,2.9065051485611684,2.7530089688234587,2.9141086159620153,2.60970564616375,2.627781153935023,2.4556994315464173,2.414048675298599,2.383838658259603,2.099297323982385,2.055236866569643,2.028728505913314,1.9416511489560901,1.6651624217771501,1.7511921802781685,1.792237723059594,1.570476520529804,1.5047892859592393,1.589560203475787,1.800726560005885,1.6097167417023228,1.602604276343149,1.7272398303633196,1.794071366842195,1.8120107233815044,1.613786448337707,1.546907531774003,1.5253815941131164,1.5396866940003497,1.4816275083167287,1.5415657079010916,1.5522907830217687,1.4351646175867219,1.1425834716847458,1.0920079154854772,0.9529500741937766,1.6770479865421466,1.2102833685267356,1.6238677361764002,1.9900230824644323,1.1806997362365503,1.5764251144630965,1.7724144408306164,1.2535829909112404,1.779117659888523,2.0111752712558375,2.2385146329685988,2.249174912597629,1.5744658149909376,2.57979590110332],[2.012320021414498,1.1535586852893154,0.9781110766819093,0.6807328381216529,0.5758720487690099,0.7728556216950123,0.6474570515871321,0.637152340902222,0.6297464369651105,0.5903691666566323,0.6164200380130935,0.684163598663416,0.6087259315156734,0.6219183154447349,0.7304954682672249,0.6627599202706874,0.6692496407911097,0.7487119604993164,0.8220788255853129,0.7896604547582632,0.853032682549507,0.8360799008636607,1.0133913670570756,1.19375079885975,0.8480123721270262,0.8394035355265669,0.7872847371537075,0.6958156973480388,0.6852014632581725,0.6787926632618414,0.7590867208569801,0.7234119739575487,0.8493089673386139,0.8534974474648276,0.758185332694657,0.7307809428611735,0.6975445429545392,0.698347407712428,0.682308502231296,0.6788414819094164,0.8142624110749529,0.8103939348797473,0.7840925478629556,0.9627700257740437,1.2424900652226998,1.6178652752955422,1.6506392879188263,1.1702670360607454,2.4306063844495682,2.111612365045484,1.2155248495006017,1.5727467999090339,1.0122267744012672,0.9609623867629558,1.0176360187871925,0.7555974107684807,0.8355185513387259,0.7854992485390696,0.9006577594742582,1.0860982642393506,0.8964154192326118,0.9111683944694233,0.9284177342633244,1.1172107363092225,0.897079193286528,0.8670785956431029,1.0743367202803857,0.9431349510655448,1.0828587997699937,0.9584912117265111,1.133010246164628,1.5372009726123366,1.1371212538557012,1.3172069804632651,0.951851788356666,1.3994775211357648,0.9212396948873269,0.9092072222106504,0.8195124043500089,0.790260824856909,0.7937945687973182,0.7331264740379975,0.8841524169082418,0.7446150793050034,0.6750545996555544,0.6869789432132665,0.6902109185258144,0.7631092896555429,0.7577069853727776,0.8695304572721656,0.8863674276735998,0.954585568585012,0.9052409574313842,0.8643479810435849,0.7921307818903282,0.8851911683769192,0.8764783636179879,0.7468195705945646,0.7203339575320282,0.9603542627434656,0.743633480277182,0.8485071356433908,0.722998108682493,0.7430147928542253,0.7181465281872292,0.6736813618550755,1.025985452847437,0.8410125163518577,0.8443015159120058,0.8998146073849891,0.7676636011942735,0.6366394597841604,0.6208858431719644,0.6081412162640497,0.607815410600381,0.6415575000380416,0.6812585037050943,0.9285870759086742,0.8805118729016226,0.8599991119246817,0.7666558382490886,0.7049749120251418,0.7408064614597893,0.6488986882638217,0.6141564501927746,0.6298299688009255,0.6761021448700365,0.6055691541148678,0.6603989235483418,0.7180713989738609,0.776936029894149,0.7949722312515923,0.6577202305855911,0.8720628707806966,0.61181980668582,0.6105027043516728,0.7432941341767612,0.6956482887771469,1.3915172015950341,0.7793615731098702,1.2434597102745857,0.9964910447578239,0.8155240369014328,0.6745738611763844,0.6342319986614228,0.6451412864408037,0.6109991220871269,0.6034585899616052,0.5933090796834485,0.5807073212552205,0.6777390274639539,0.7583526487988925,1.1723736835577494,1.4822546048214342,1.0925529453312897,0.8712330582291324,0.6999197001319037,0.70085203350786,0.6567698868411334,0.6511042755504548,0.6362193528936954,0.6584467443638581,0.6687338137710495,0.6678808536681772,0.7461670094055376,0.8107703193126721,0.734328588969869,0.8611218131387964,0.9110092803834516,0.9251978211593709,0.7559050464781181,0.769811736528472,0.6766596008304797,0.6422006599465029,0.6369745711199608,0.6626012077075967,0.6856426652236067,0.8754811970202537,0.6875201527070164,0.7133454528848816,0.6550716684498991,0.6274561110069713,0.6429791201331835,0.6378288743966206,0.6674496204374638,0.6740508711936064,0.7058770480794854,1.0695675193381438,1.4947439732580465,1.1012270293955593,1.3499679505859645,1.3698454738383135,1.021030962937523,0.9329291158762951,0.808331716865929,0.8836320457152518,0.9518711284119089,1.0298327611750488,1.00602146694636,1.294694320054651,1.3426040772145282,1.5018723996814243,1.2524372663358294,1.2467995328916912,1.5739791884403536,1.5698470364789179,1.3126701601319055,1.485480026138677,1.91631168375881,1.584448417504552,1.54532330706774,1.8560253877082893,1.9283332941239972,1.5935872930005959,1.824205351200793,1.5933850226062578,2.0561758407684487,1.4947632045910348,1.5893212932939844,1.8564032612546546,1.802713278101421,2.398160182207102,2.127083917929955,2.590578693163432,2.034434970317468,2.043174475103986,1.9792109227514691,1.8639148270990744,1.7446267774891366,1.5285419311591246,1.5892669043303675,1.4321357930225844,1.4580869906557659,1.2714541540713862,1.3166526612629035,1.2505800897620054,1.1747329093951282,1.1121277881407747,1.1023749072451234,1.3527516048407517,1.4774210008582849,1.7364138084900416,1.9093952979986324,2.3172773166609493,2.2293275557540344,1.9349469629381197,2.1888655351522384,2.3946878762556496,2.122787282765167,2.082342925872843,2.4988758311220116,2.5588417677627167,2.2458388415192676,2.462167774157947,2.726884226339248,2.5499550233088257,2.415142149003191,2.6060028444289003,2.2912381205355716,2.32271922867378,2.1493495137230507,2.117289963022392,2.085220409128783,1.7822219985578949,1.7527162692087768,1.7304747868581134,1.639349362551496,1.3588209658627408,1.4616422085662393,1.517100895097472,1.2928995655096396,1.2355053445229902,1.3297128503908537,1.578021064431043,1.3912619835681124,1.398296287836129,1.5620011744408997,1.6646505184859697,1.6670147210498314,1.4378899324852918,1.2917644014807785,1.2377559469979826,1.3745675246497773,1.2988557907227853,1.3930696530369255,1.3530503194781411,1.183351842747289,0.8787745005383018,0.811535427264144,0.6942005392394918,1.3637743016717712,0.9408861199458821,1.3390510953832606,1.9438960431696342,0.9569308979513403,1.3498161063705323,1.5127609673070168,0.9247194690621695,1.7273445302919521,1.851569781581227,1.793785497216775,2.0335877738656407,1.7317537951162518,2.8094939681476756],[1.9641900000523433,1.334662004092399,1.2389213111160429,1.044750127976857,1.0779544346793166,1.0147978297849278,0.8946046529051433,0.9449850949760873,0.867699468570094,0.7796895010795761,0.7883647476466643,0.8770766878928312,0.8009674803452713,0.7463392010405167,0.8684620201650283,0.8503000710550105,0.8135263808533036,0.8543730763421234,0.8817346269158299,0.8778220957362953,0.9082919486752447,0.889249657862075,1.0338158933045059,1.1500476793625094,0.8876183601090466,0.8813112357744852,0.8252214515100476,0.8059460993428205,0.8263555020753423,0.8609366776021247,0.900656122434939,0.9152290129117467,0.986505898934536,0.9688756550524387,0.9340221535970479,0.8823906725075483,0.909373030500072,0.8711378952284332,0.8484314022942283,0.8642233568046762,0.8821105527789335,0.9216164498487979,0.9112352470233221,0.9909398556316812,1.3889449470993571,1.6850020292733814,1.7690862543515407,1.1299158189862128,2.3248690077071217,2.118006260396095,1.259341910206882,1.5458674127679715,1.2748243757655484,1.059816200045133,1.2750921958248815,0.9570353386542707,0.9252122919410039,0.9767745978499919,1.0966867533334086,1.1193912772880124,0.9994389179470085,1.0374918657305994,1.0037757664178142,1.19471720709714,0.9608632431800865,0.9031758282228629,1.1039532471367273,1.007618093229549,1.1399817175041613,1.0162609092582986,1.2053259326548726,1.576538388778374,1.1754918174791849,1.3083292722254272,0.972918966455319,1.3612536119694647,0.9654603518500081,0.980724862709142,0.9395783166918306,0.9447674155228102,0.9511545362765637,0.9373793234078389,1.1022071527836348,0.9863202354377434,0.8877394765665668,0.893204778269332,0.8934932386588896,0.9800307969949406,0.8955619494097855,0.9920846050044579,0.9765958646770865,1.0204013643134657,0.975107184636605,0.9569350998339514,0.921706936628562,0.9868953921165826,1.0119952508508803,0.9417288163772198,0.9504301818536406,1.1352667607849334,0.9808375453603233,1.1040241142491223,0.9987829018736258,1.082461354444521,1.0332043391932078,1.0152822538455093,1.225351455136503,1.182202857471623,1.2085504201525916,1.1630440776463318,1.1232390018997709,0.9540635505074299,0.9058684427446358,0.8323576293517404,0.793648150952136,0.7548387289411248,0.8115737409041506,0.9667221778349685,0.9387488531728767,0.9415768181892306,0.8324371483065085,0.7789844471841818,0.8159203631852636,0.7543447965548999,0.8119730504899225,0.8695513332443219,0.9424906757328606,0.9545750847206614,1.0108560956445156,1.0763518332246724,1.0583757935873024,1.092929723107081,1.0259363105743426,1.1975930753254311,0.9861848845992802,0.9946710631865398,1.1771017926217449,0.9392239616294182,1.2904366906414095,0.860121079643283,1.4923586298646117,1.2143548051333348,0.887347908335076,0.815884496701661,0.7888624734705373,0.8170605294391611,0.7935465325241089,0.8510407507870216,0.8758201918093933,0.897001246588584,1.0263425905963885,1.0297843912027675,1.3858882773136276,1.526359958477153,1.2212553239464405,1.1145765112255175,0.9612282288694611,1.0119165529028007,0.9264163672360847,0.9795568275749434,0.884840918500871,0.8714461710715787,0.8426324833693798,0.8465953256168272,0.8916169295492552,0.9320896633935595,0.9151259459120645,0.9964676768611151,1.0250508789848758,1.031360094995314,0.9490486682081543,0.9332984749870543,0.8968254322947291,0.9077885935507503,0.8987517110436679,0.9309607471154834,0.9279717110048092,1.148305389155556,0.9260282986483259,1.0039774465213702,0.9236790207727289,0.9504386096834668,0.9994411485699006,0.989190087991987,0.9830959551625577,0.9575660112119512,0.913331812180645,1.2964001230980737,1.575538841310794,1.2389820188167207,1.4616378283543263,1.4049113637748145,1.173087558562792,1.1355135088278758,1.1010819555912648,1.19888182604188,1.2382407028978655,1.2515234910696689,1.2479387627093093,1.387603088771819,1.48197244659326,1.6133111459269762,1.3857196773930465,1.3861119518821416,1.6664467443156479,1.6369185960514088,1.4112303430901048,1.5491322727381376,1.9423535630703552,1.6015595752526957,1.559337142056436,1.8507027196343815,1.8979075537250938,1.5771910534089124,1.7598073628547888,1.590897596749281,2.064602761505523,1.576657226187451,1.6195980000709627,1.8929846080933739,1.8626352592800495,2.4953774290814685,2.154231289211497,2.5786785176473344,2.077249861571405,2.128228112731529,2.092214681198833,2.005092300952525,1.8764521634393372,1.6687527463133407,1.7338137099938427,1.6073267385703,1.6090366972694465,1.480648798349223,1.5545838248700585,1.4647364305662867,1.3836539229033207,1.3506948858412609,1.2987515911442102,1.4877441734833634,1.62844683286604,1.8632043176450725,1.9996604597160077,2.3825528026114,2.259597295639689,2.0237967851542273,2.259730428659775,2.429782608619648,2.1669274791039714,2.1117466618234806,2.505919507586423,2.5405068243851887,2.2237031955681905,2.4720067787240882,2.7244699488774287,2.5318766513098714,2.4086597654735455,2.617706911885676,2.316672881318,2.363647590854625,2.2022070839326515,2.1931240677210972,2.1437139768408033,1.8421197494430885,1.8238689529695242,1.8172372367114964,1.719989477738905,1.4764972620771364,1.589571741322652,1.6346582224908672,1.4298907033437949,1.4054801640576746,1.5013504678924374,1.7057721647682351,1.5411874377269723,1.5366182618202489,1.6613486613851942,1.7672985230025233,1.7894290654310525,1.554513142135366,1.3880964437710053,1.309355256206255,1.4727625788645264,1.3868776640308373,1.5164344828625569,1.4223072454051766,1.3412591448702789,1.1495735856460574,1.1104579286053953,1.0651071973121495,1.4164542577302652,1.2787501930456233,1.5626683154588863,2.159336103465631,1.3446929493428204,1.654390975744451,1.73983316808224,1.145177009978179,1.8754024061888857,1.9580863694466186,1.8709488058388106,2.17417437908177,2.104263955783118,2.7514308368055116],[2.003948924083451,1.1211729086850204,0.9338367625240012,0.6483048319414982,0.6823362792775909,0.676996837289485,0.5672956970861304,0.5876820917146545,0.5577111181260485,0.540571771137331,0.5858251924771729,0.6580272744504624,0.5680876744323112,0.5670951461582965,0.7455774647062017,0.6760518263963428,0.6451740606752324,0.7264041576669521,0.7720770200784485,0.7408012868946159,0.7963891828025411,0.7644238929903039,0.9213459819556398,1.0710171060231057,0.7422723459800322,0.7417428808380088,0.6913490819885872,0.621232788987736,0.6542437830659975,0.6656859972121321,0.7642585725909489,0.7361669197072653,0.8471988919293343,0.8472767981156699,0.7743922050227581,0.7131393587999468,0.6840918492736195,0.6666983702749992,0.624469304308644,0.6282492646879352,0.7503218317824906,0.7520341213333055,0.7361304850372414,0.8514577386041572,1.2136973533266315,1.6505423115376165,1.6664306840357295,1.0608288576315972,2.412116332271598,2.1343723817273266,1.1450599924702372,1.5941281238169234,1.033781558471966,0.9181984334965897,1.0474396915137838,0.780487158496337,0.7932806747023051,0.777180563133721,0.9256992233689669,1.0119616748413713,0.8834367704938696,0.9528895489710955,0.9471836365960492,1.0764209425399436,0.8327534085584993,0.8234464690177218,1.0773915729576244,0.9270865324120148,1.0843234771950394,0.9596546720356359,1.1881164944014497,1.576509890050107,1.1582439344055777,1.2707557956104618,0.9299684302658685,1.3391908951530485,0.8913834875675594,0.8956939321583993,0.8175771485840195,0.7807251560228223,0.7697121557101041,0.7094590553173641,0.88601707217139,0.7450370754427272,0.6267974705731739,0.6484469416261057,0.669100069548184,0.7742649632197162,0.7413991284115813,0.875042973586127,0.8729034655171243,0.9469561901930562,0.8961739012521639,0.8666581560272777,0.8022935210987853,0.8993729287166384,0.91484529141768,0.7666933366263041,0.7405883298382397,0.940395248933278,0.7572911349164063,0.8146256117292233,0.7185373121030323,0.7350143506580188,0.7064150349251941,0.6583282699931535,1.0166064095135483,0.805268810602053,0.8236300325342427,0.8479522380009782,0.7435272725435704,0.5937894215280162,0.5748799871118371,0.554398815676588,0.5666208440606397,0.5559218956852201,0.6344232137212441,0.8626545491735285,0.8121718991888256,0.8205927166314592,0.7044342746920286,0.6393700606244204,0.6613368812006897,0.5542807567883371,0.5465866633319142,0.5570701769688917,0.6483335713664785,0.6014216482332984,0.627141007853444,0.6853714189262954,0.7844283408565179,0.7903349063730082,0.6759815578202503,0.8444122305057735,0.6128819260386902,0.6229331635930504,0.8523456474072392,0.6854456283477488,1.2583053083501266,0.6621398742380076,1.3463489723028934,0.9732538112850658,0.73491195203323,0.607061153512305,0.5698283990756928,0.598557486836076,0.559095594288268,0.5695700106489529,0.5623605737894134,0.5682019169475974,0.6459202666465063,0.6953024924804346,1.105464667860479,1.354048726760628,1.0088766164487277,0.8441269668281975,0.6866707787987802,0.6915684805185061,0.6441667044627923,0.6400684213002568,0.5933284820792791,0.6039445802805342,0.5979184183232207,0.6022493668041972,0.6390790161174207,0.7576564243932927,0.7077990549855372,0.8195862619333727,0.860353108183166,0.8959392378280837,0.7379830022335123,0.713343037909732,0.639669188324423,0.6231455418373647,0.6161740392533442,0.6383440768583446,0.6587341203355933,0.8746948253654195,0.6565547382907122,0.7072240558957024,0.6268461606201032,0.6191235552291333,0.6437305961674151,0.646012248199778,0.6746246906701052,0.6774168616057992,0.6539618057982226,1.023597302945593,1.4440663337681476,1.073145321181995,1.3212395732163438,1.2697675023678703,0.948800378289376,0.8948446255293625,0.8205024246398959,0.927230880150487,0.999085817179296,1.019876466681805,0.9845196105499351,1.22456501995854,1.2983082540338584,1.4658902668203442,1.1987040970101248,1.17305928413723,1.5136140775242946,1.4870657578991915,1.2611070949235237,1.3956464917777462,1.8342658036278408,1.4603497411884516,1.412936166707727,1.7271974689358038,1.7849643184340063,1.459096089847718,1.6653314244309025,1.4618495647787386,1.9046437929367825,1.3963744846501904,1.4635893647320797,1.7429083198938027,1.684247975550839,2.472928762195981,2.061958537996028,2.540668663740937,1.999680793214655,2.042596848454726,1.9850011789605586,1.8903321982524648,1.7454002323423319,1.4975202487192179,1.5683352428740844,1.4113003095427634,1.386879854342297,1.2352552606342049,1.3442002117121303,1.1985913547152873,1.1449044410388536,1.1022453616830892,1.059729549859361,1.323553317247406,1.4663967793711372,1.7135976867047662,1.902298821487719,2.312910380730742,2.2180994927529665,1.9226120447380168,2.1710398121618404,2.373735143595765,2.0936623653507973,2.0389113507311167,2.453514511772826,2.497391079991286,2.170461925081414,2.3965236849187668,2.660868478809672,2.462154339400692,2.3267562535920225,2.5324053812913423,2.2124078097918574,2.270779370238785,2.1103272532840816,2.0898088728263686,2.0340027920138852,1.7132819872904776,1.7101254033011444,1.6667815630834348,1.5559082071403088,1.3010397518299708,1.411778530375165,1.4094834774221976,1.2044263377689108,1.1769041260818756,1.236155518991744,1.4759437017539254,1.2748471465883033,1.281585642907517,1.4401956428503246,1.530538122856668,1.6104237077614774,1.3560218481526514,1.2055829138183616,1.1301857230018273,1.335898509989127,1.2373463987764344,1.3164522128953589,1.2306227014841316,1.1524188793046126,0.8499889595593665,0.7843640214992446,0.6963489898974228,1.2667925083743354,0.9243051216122917,1.2822200895770475,1.9721376542756985,0.9519638592440922,1.2984486730259956,1.4564738011397227,0.8446603955978946,1.7552000641884957,1.8111681981973495,1.6542363075007893,1.9888973009052016,1.8571395619506,2.7382058711990194],[2.1516116037443305,1.2034133738441175,0.9037095744715117,0.6580449583438617,0.7337286368789062,0.6013961750073963,0.5214913810822908,0.5479733131548277,0.5127261977406946,0.5062449160705061,0.5553503750192942,0.6819444095628127,0.5943396427245754,0.5639966226369707,0.7719039453264143,0.7220133165872482,0.7306511376248389,0.8042635176854611,0.8716066984333375,0.8348946056038713,0.9170612761790691,0.8837173896977516,1.057376291079729,1.1940185669519743,0.8558588691828954,0.8635109911947658,0.7689895294618839,0.7040497495877293,0.7087562694083658,0.7210821145572163,0.8403294815282583,0.7803810925949607,0.9306393211483212,0.9227513950407604,0.8218301839457509,0.7760121624013885,0.7441532991729982,0.7290900785385314,0.6676693498888052,0.6677688380486321,0.758905181942881,0.8342772061419031,0.8472836647576235,0.8919186036333259,1.2968575649751997,1.6048098781381643,1.6155313707416656,1.065055869152747,2.263802091187005,1.9063561346494993,1.1736342703838467,1.4135050029933542,1.1591803325617913,0.9415110622351042,1.168966949351058,0.865231157805399,0.8494250823133804,0.8648368806357105,0.9886663237397252,1.100304309537252,0.9581788893721347,1.029616689005804,1.0030795552033067,1.2432377181593235,0.9488107846573949,0.8905739062241993,1.1733835928704632,1.0166967568488998,1.1878790926288398,1.0456275154627876,1.266587332058835,1.6698145609435513,1.231764060198185,1.3299402142878674,1.0230790212170864,1.377108945699285,0.9836253575578257,1.0015661735412507,0.9053550795146821,0.8657712510267687,0.8663059122989715,0.7803052279096169,0.9269481563621251,0.8277123467584134,0.6549216681563971,0.6876654697052966,0.7414753909497414,0.8243262142136777,0.8077342455305377,0.9329370169986607,0.960945953145792,1.0383424169677802,0.9707435205949133,0.9193310931830091,0.8598235626254925,0.941439760322022,0.9743086865564923,0.8189881230732837,0.781868808726019,1.0033750591384978,0.8002898297922977,0.8595327274285638,0.7593915805664895,0.766745042065926,0.7342556952297389,0.6858699479018453,1.0048341572351973,0.7462087291123491,0.7441120573451102,0.8299720370370187,0.6829885254829926,0.5494865841949964,0.5374234171371892,0.5472251053124774,0.5864175253743344,0.5844507963268948,0.711568009740454,0.8241624531479066,0.8902437241780127,0.917722897218958,0.8081606019042754,0.7261028401115565,0.6979523830619889,0.5259643140888624,0.5232767882146475,0.5477150810793792,0.6367400505674541,0.5929144183248005,0.5972645643022,0.6616715886082085,0.7904286472895394,0.7909936677858881,0.6565181824934262,0.8418894899958822,0.6233958064828066,0.6252688431352036,0.8439640606471146,0.6484605871556257,1.1072161707623986,0.61328037916033,1.6129058571057422,1.1484815644676385,0.7690192380625017,0.725218267040299,0.6520245828753491,0.6335663946868161,0.590463762645479,0.6056274428255345,0.5861686891489193,0.5890188514340604,0.6882671144007289,0.7344973326845555,1.1642769120061882,1.4720618016848908,1.0669398934484653,0.9044135664874856,0.7196439865028531,0.7301480170700874,0.6795858638951922,0.6568962442592234,0.5928736801410004,0.6139065730090117,0.5672381346049226,0.5882867138047099,0.5995412321184037,0.6847372571660553,0.6417647850076069,0.7196032073497113,0.7273070898047281,0.7715400982026731,0.6635470692090852,0.6204506695593942,0.5832817492434478,0.6008192865189039,0.6197319153012929,0.677259041846457,0.6996710685831496,0.9239152757488848,0.6965188565099603,0.746753956613197,0.6189605177664714,0.6326803505438134,0.6465936649355555,0.6388821825630995,0.6884140912102047,0.6865277899245753,0.656153101403239,1.1342253809638463,1.5136057349711138,1.1009505754027167,1.3387323362470338,1.277328956999382,0.9047875093115413,0.8788766793195821,0.7915389487985872,0.865505709017532,0.9730076840515043,0.9315833250333214,0.8753299643989723,1.1577930257040607,1.2151172590650063,1.4243587951087027,1.1287434402984897,1.0605360939703858,1.4310988886884506,1.4133503795765996,1.141479804079137,1.273720251837577,1.7731444784111703,1.3625519387476952,1.2968344354561068,1.634097313288576,1.7079711458564746,1.3691192144525486,1.5398482131658189,1.3399840742954132,1.790214803909386,1.2477581351466998,1.315240150242161,1.6245626570371294,1.5637455437585717,2.5210571354396083,1.9635047819603202,2.4801439788675568,1.9482090263415668,2.002455443569455,1.9574619084325726,1.8523786558736646,1.6670139601269724,1.398856739811688,1.5021338011039425,1.305301915462563,1.2651340599224274,1.1327363159094757,1.283413635778803,1.0532164618606636,1.036338320461089,1.0097013671657555,0.9367724426011375,1.2379501544448372,1.4101617770917276,1.6800987511980268,1.9090823593967896,2.3336957690064426,2.258250968233329,1.9085997163812831,2.173113873970096,2.407064759493901,2.111721713305716,2.0150024410203926,2.4717209427984046,2.524029576854195,2.135083953495681,2.390793929298864,2.692019292901681,2.459162626365435,2.2906480084725263,2.5083031059001115,2.157989524431307,2.23751853060168,2.0873578615283606,2.0539377225520536,1.9718112111840715,1.6232326082155868,1.6251506272541707,1.5635861930770303,1.4408349120893502,1.1643748484849676,1.2762656951194369,1.254458094934642,1.0559564037527986,1.0303254706128817,1.0831290436040764,1.3492919722344496,1.1430619991634232,1.1680041996639494,1.3510018407174373,1.506182973013296,1.455343016493156,1.2820518046440328,1.0861538104586586,1.0199889912916977,1.2934056064858859,1.1712686958025846,1.2791901868126991,1.1662531950087702,1.0259057114531016,0.7885811127701189,0.703511736211584,0.7168479971717161,1.2092830998626876,0.8352272425575776,1.1270468984754745,1.924938819626874,0.8851524879827054,1.1835354891917007,1.291918203989588,0.773895018817467,1.9841191030259837,2.0564422597616603,1.5017671490413844,2.022958378974782,1.9839251206147668,3.151486768495227],[2.121438062679076,1.0813460170974147,0.7513903845064266,0.528401128459479,0.6027747041930163,0.4906830143933282,0.4058467833207921,0.46017425864849,0.42047750355219643,0.40963074994287885,0.4675748397056273,0.5913355372144368,0.5024411208941335,0.5011443408858378,0.7147114527598465,0.6612188726572451,0.6625032761154852,0.7555246220957134,0.8405281621357557,0.7985496962224552,0.8976826748642381,0.8610428767262474,1.0635327252058948,1.2110312102167011,0.8252585480854067,0.8353927344576993,0.7250155271672297,0.6541538783290496,0.6528229922210639,0.6450440643235871,0.7730177914819564,0.7011782217172912,0.8451310259876946,0.8436830970797189,0.7434286968435799,0.7152472356849536,0.6780129235996615,0.6656657376973278,0.6190652126221184,0.610753154442849,0.7215148617020276,0.7993639583610201,0.8075968804716013,0.8558877183160241,1.2943019295939604,1.5578002637511326,1.5999663844068441,1.058956133534327,2.2003453235596417,1.8085891119803352,1.1624879943924824,1.3530354264596234,1.1201001161214619,0.9309933538903132,1.1345449917399055,0.8346188693932814,0.8194464465146176,0.8416400538117046,0.9732457154180135,1.079040952990095,0.9444845832192947,1.0131732562740168,0.979868285311479,1.251530460569564,0.93864001556735,0.869781515540894,1.154078909028333,0.9885762219667683,1.157934483936397,1.0064441536173974,1.2474829736605253,1.6689807642463446,1.2048553304493899,1.3186887609782265,0.9916614666139697,1.3788368216790647,0.9466894708037894,0.9412188770964849,0.8479914247253741,0.8156108638649214,0.7982261556176055,0.7295788314062303,0.859906259274206,0.7650936646984665,0.5904288416052202,0.625143972764409,0.687920956935649,0.7582460376990983,0.7559830645329959,0.8668732360083047,0.9058093020347421,0.9797631728346812,0.9091545707397005,0.8484027576871918,0.788426772048886,0.8688291783395558,0.9094118258422701,0.7301753857202194,0.6950869248179733,0.9290296696727013,0.7065868680798256,0.7864077606297818,0.6721990939581658,0.6803396126747187,0.6438894526991755,0.5961191195104073,0.9173564432106643,0.6572185431893353,0.6480989363713929,0.7393372777130478,0.5834775133636997,0.4591340605639031,0.42310152863344147,0.4472422939411262,0.5010831662249345,0.5164783458866615,0.6606163751162812,0.7571114459802792,0.8846270782137575,0.8812774731230918,0.7630791781235016,0.6783867667041891,0.635541053069402,0.4302079875315873,0.4164287940454468,0.4365481679028581,0.5391622448894409,0.4812733244152327,0.48133266544852493,0.5635729321894516,0.6961509500614874,0.6963516741981093,0.5537426557940732,0.800087663385228,0.5259035240423594,0.5343963425809891,0.7220411824940761,0.5658958228609473,1.0543919480720434,0.546539185002246,1.5971640091033963,1.1200196177866146,0.7229255487193222,0.6738888063520266,0.5980603672566467,0.5845748226649271,0.5190883359089858,0.5257730514243865,0.5004888221673722,0.49824332714125186,0.6028573544982277,0.6535382000326498,1.1070474081726391,1.541884929556036,1.0489820580796434,0.8302597473070521,0.622317671565841,0.6419452807918558,0.580969552328343,0.5659909589789172,0.5156381036824572,0.5526053310409708,0.5107637469418307,0.5362752661658686,0.5555416511938647,0.6572379180288114,0.5751828365559346,0.680131312947774,0.6638138709735065,0.7216837621930472,0.5800927043391365,0.553696266002146,0.512360823643446,0.5303213308202622,0.5451331844012975,0.58590019387341,0.6254618622264843,0.8604079216798401,0.6361532671099932,0.6745629726252164,0.5478654986882765,0.5518135267848366,0.5652544041080908,0.5585368761629635,0.6287896545513701,0.6273855552024968,0.6039938825583557,1.1265567777946253,1.5017275285867426,1.0374555519633974,1.3316952854420585,1.2737613372607608,0.8627312914870969,0.8066788133573547,0.6933277413958158,0.7617479808858406,0.89569372759027,0.8153281918523666,0.7510678036335129,1.074355293237017,1.1182826612857393,1.3504869291629884,1.0490002778757037,0.9657609415309644,1.349612935763497,1.3501749365138116,1.069512995720941,1.193258924344475,1.7034763285645995,1.308020883352474,1.2228527218759881,1.5685055372916306,1.6694775163049143,1.3020204037895164,1.4661370904196454,1.2466706864269623,1.7163526278878045,1.1392942683434477,1.217454750082296,1.5148907426726428,1.4453357364945842,2.4539085163357193,1.8418486203523639,2.397416432019782,1.8440250078219287,1.904748067069973,1.8696363815945456,1.7653971975307323,1.5527844324294051,1.2800536923928527,1.3881406182902463,1.1664462630133008,1.1302948345784765,0.9973539584918782,1.1903668143457062,0.8837786236667107,0.9143744326723879,0.9226664026682597,0.8095893766924788,1.1310134447907194,1.319131646607107,1.587577635582418,1.8388868786597379,2.257892872173105,2.198318863976254,1.83807325277487,2.0946646048974666,2.34755409296048,2.051346798826301,1.9573041749973146,2.412498559703743,2.478520301574609,2.086471730202125,2.3189218621009116,2.624807968294556,2.4081495399368564,2.2255875607912543,2.416276212454616,2.069913164352735,2.1417504901918165,2.0019625893644735,1.9549794195652939,1.8585737250270937,1.5239845230124174,1.5171745121466471,1.4351210250142294,1.3118473516961437,1.0446770856140681,1.1464878729798214,1.1222976684745882,0.9379924455062232,0.902041856940079,0.9390733433911278,1.2271160753471302,1.030785392811681,1.0758387516019559,1.2704459781590922,1.454037986288938,1.3874764585611812,1.1917712204948259,0.981480386137014,0.9351346705999116,1.2140319176074184,1.0933008525261638,1.203091586399735,1.1143888093750303,0.9171707062252774,0.6849489702239647,0.5800899579889381,0.593546200595011,1.1635153513997623,0.7232892248427412,1.0499084478610126,1.9048108227289626,0.7611023337157587,1.0991574586804098,1.228388093666454,0.6961104889296873,2.0934349879584606,2.236696220634924,1.4526071487136851,1.9661108609253963,1.9073052430783677,3.3891990978807587],[2.235682183529991,1.2070588047211648,0.910371139289149,0.6288196209468129,0.6851109198472985,0.592802577855907,0.5233274489719103,0.6011883901760808,0.5891754014587484,0.6034202709264233,0.6987281811984158,0.8409021485563902,0.7464266516826095,0.7091233185293455,0.9480825197664063,0.9157176208000324,0.8588772098628843,0.9616023616016653,1.0108779579627358,0.9907048235142194,1.070281100340215,1.0319974342700866,1.1792038487410128,1.2552588656437793,0.9752657709105732,0.9764411574776195,0.8849677014838145,0.8248409371783711,0.877578017454729,0.9000089069401405,1.04594234648477,0.9915515901474593,1.1471703696034665,1.1627431608418552,1.0554253441259305,0.9835797846930165,0.9457415385223634,0.8992734628389428,0.8280064778858708,0.8420874833148365,0.8858572780608326,0.9768209085697364,1.0193730181581608,0.9987241675475748,1.3811455010658535,1.6254138731574632,1.6275227905215213,1.168656050328886,2.2680886599242878,1.8497607739833146,1.3028649589175243,1.4096339517054866,1.3395632191926266,1.0688854882867702,1.3823079162319711,1.08316903141129,1.017880560304277,1.0835994804694076,1.231610238160802,1.25354761793548,1.124103848187993,1.2122655728239502,1.2288310143575334,1.4137013756439334,1.1416953354094332,1.0832027853655644,1.3180772584856861,1.1914700742068303,1.2906760138086073,1.2043157922293164,1.3872138105693879,1.8334614752856913,1.42361394930289,1.495242281319189,1.2420263121718622,1.5875112298211844,1.2076096209241212,1.2363303586486352,1.1398524981152118,1.0944742787605557,1.087062358022649,0.9915917501507989,1.1435109601052829,1.039665399804258,0.8295905653533082,0.8753180983046798,0.952526669486801,1.0164148432830842,1.034099847933629,1.1770648725523094,1.1943386891768024,1.2859839419349877,1.2308229362395042,1.1760785880117157,1.0864648362080902,1.1929535013962118,1.156822111299476,1.0371016476459185,0.9873077280545951,1.176120611971598,1.004046632441031,1.0301403693958866,0.9405471647182568,0.9133033534376437,0.8743621367075046,0.7951039305190375,1.08883173877191,0.852496862061091,0.8062282233436012,0.8558405323531795,0.7204240750603752,0.6293853719930802,0.5812051827646605,0.5781181212025711,0.6707363666360607,0.6378680303484254,0.7858527245584971,0.8447198022430449,1.0142125981992958,1.0281422930550446,0.8974337151770477,0.8023540121275151,0.7210057329025763,0.5657011272927546,0.531187924881486,0.5353188082216466,0.6410752114361773,0.5989939420205216,0.6167291067879104,0.6986687025908436,0.7887092786680213,0.8244866739027169,0.6779706204799595,0.9006569464340056,0.6486711053319133,0.6420646022949515,0.7915289793328991,0.673699662512133,1.118991298669112,0.6283366878521481,1.6109135755361572,1.132178492562675,0.8085295321225734,0.7739698309626276,0.747429551055658,0.7695876764914915,0.6981292671205278,0.7286942211998355,0.7023480866614676,0.6872422581216602,0.7938849980314094,0.8245774020637493,1.253947984625643,1.5525502971792802,1.1639959655996899,1.052004955950605,0.8744822958490158,0.8709734370729474,0.8344860654683781,0.8037449578757375,0.7153166024293599,0.7558939900753079,0.6797416231674532,0.7412331923886794,0.6987152309706163,0.7293045628122269,0.6765401900959804,0.70904745143215,0.7089167244331838,0.7498948199762473,0.6710537358222326,0.6670078060004186,0.6651392407825603,0.7265590482950104,0.7813992329454483,0.8489172198934793,0.8778792627989678,1.0979379099041304,0.9040528381358532,0.9116230868445308,0.7696729867242486,0.7464980595893197,0.7423793573606382,0.7081275135336402,0.7525114269818435,0.7833381920476578,0.7983316418166149,1.23479885619727,1.5524070990349497,1.1342332528250916,1.3115849867847422,1.2753083503932032,0.8774151174744683,0.8547617868530201,0.7699976592412816,0.8434132741029047,0.9599663645320583,0.9150321076350658,0.843202144721663,1.1081778060699732,1.2054413442412584,1.4009550986662862,1.0873007612103742,1.0242743287723328,1.4096455818747982,1.3512439911342156,1.0572639739180927,1.2356468960163443,1.720323567861923,1.2697960962168855,1.2488117531516778,1.5834359067790633,1.6127625458137673,1.3017127467813656,1.5210573438142663,1.334577794129531,1.7966626848901837,1.2886804704972492,1.3127626311835487,1.6097995373024254,1.568711649564059,2.591133862184791,2.008706802646356,2.5343110530055295,2.0054520838003795,2.08640151814129,2.023555448780441,1.9738678108240306,1.765312508827914,1.4260406973568278,1.5264453364352564,1.3491122171307945,1.2818840811880654,1.1247208383025462,1.3016219088109615,1.0554011670382204,1.0749618692818153,0.991618628753599,0.9326499394837324,1.2632258287695617,1.4458409074155485,1.6843127665665878,1.9425860181781112,2.400684595708966,2.3017779585297955,1.928926389494726,2.2013797737402663,2.439345342644991,2.109889506469045,2.009524755668906,2.467348122191603,2.493850044360517,2.0771083244257134,2.365502503687503,2.652488670347889,2.37757419625455,2.237126271623681,2.4717827180303447,2.133350581967516,2.2414748636383357,2.1007062179532374,2.0931915998709822,1.9840320983907949,1.6049015672492686,1.6434971516738774,1.575747197228532,1.4345252312920493,1.1801126562020587,1.3283519065708669,1.2947657360074232,1.08642859765997,1.0534795457365893,1.098967805488025,1.3523604280757617,1.1489934736102854,1.176850290456949,1.3850597327957856,1.5405378789382775,1.5585076209947624,1.3394658272810909,1.07879070730644,1.0276334001630403,1.3448675423053453,1.1936973278925087,1.293045793072314,1.1706679572049565,0.9732485172950078,0.7310555531349919,0.6915018698936872,0.6680194869212014,1.1286076658980082,0.8297537181364745,1.1461098477603897,1.8525258102852407,0.851200681909771,1.1584860331996294,1.2515444201886854,0.7834688388302764,2.0674209052877397,2.276030969726475,1.4638403521240175,1.9970048645667402,2.0549602898124077,3.2800160492270907],[2.237368540993831,1.2430207972017748,0.9451214032406179,0.6462024539373239,0.7219491150122181,0.5647425879058051,0.49624600038932987,0.5212638496649773,0.4874282765959799,0.4940244924068834,0.5610217537152786,0.6706766981100653,0.5903714905634931,0.577266314933725,0.7969761426223632,0.7320424193920088,0.72008012302795,0.7958247119888485,0.8526161187294916,0.8261506048228748,0.8907493476744347,0.8532077178856637,0.9990859762704722,1.1078971419390768,0.8259521820569897,0.8301909921751021,0.7310994957810102,0.6918339456294695,0.7032974538318835,0.7132117711493308,0.8412805657257508,0.7733076520971427,0.8988952655444857,0.9156122819716082,0.8035030893060207,0.7706223215820114,0.7306856856021676,0.7025384625071387,0.6468790907123175,0.6424174710282446,0.7241375807558277,0.8091077662271567,0.8314059064876339,0.8345481850281296,1.2368427115539038,1.5653775562926382,1.5335591077170794,0.9491805368228757,2.2459557291943297,1.9146457006270312,1.112917116965174,1.4185243151027846,1.196178189156949,0.90471252211502,1.2009341604705706,0.8802289766396837,0.8163354709514802,0.8734939517122797,1.0154499432057027,1.0520158434712579,0.942367821154318,1.026758438116509,1.0062093645487105,1.2539248458905092,0.9330117944468184,0.8932059817142937,1.1571003317621376,1.0076064435800365,1.170108658436662,1.0502718270301044,1.288616477304757,1.6949445275308208,1.2530724755359206,1.318460229975376,1.0195612942846246,1.3933586837704992,0.9716981833225803,0.9941204952261956,0.9048677122533155,0.8764537001993864,0.8546535112424613,0.7863407875270815,0.8955870353835331,0.8201417767528175,0.6419328663639525,0.6730081949549639,0.7296662974409361,0.8245531506575668,0.8093676211552218,0.9273406401375377,0.9618327910046809,1.0528150015488602,0.9883318975540317,0.9293549338088094,0.8731416083056576,0.964635708808809,0.9945195596962197,0.8137466006118093,0.77307944987362,0.9492371130595783,0.781604033374608,0.8362930284139165,0.741960215595765,0.7503142927583976,0.711797772074368,0.669709579499087,0.9783540663941699,0.7354384545948582,0.742927040476808,0.7785488869508335,0.6592390396166732,0.5429659204597128,0.5110387392680811,0.5156557760233816,0.5627546727865943,0.549433829390971,0.693932637962624,0.7470721737954722,0.848053746601502,0.9069403358188294,0.7676187075683338,0.68987909389434,0.6294503549401893,0.499907873121378,0.4922369063797297,0.5191744795938402,0.6058173589403019,0.570422451790481,0.5730784991703937,0.6440874576328017,0.7667590874344499,0.7763999671385693,0.645152769615293,0.8150689788325468,0.6049283165275243,0.6013514670255068,0.8231233847439939,0.6432788787076337,1.1033762883829061,0.5570800729488201,1.553843385055365,1.0904444603384096,0.6963281150812421,0.666584641615707,0.624267762636314,0.6132761721529717,0.5653213774608735,0.5909034635773676,0.569534776465564,0.5609249248581976,0.6695173355169979,0.694936800630758,1.1180601271436683,1.378712022563568,0.9706597763684827,0.853815335343998,0.7001170063436215,0.7120437289662552,0.6608080820933918,0.6518004808282617,0.5698133247322582,0.5824187873674878,0.5452002534680607,0.5824781084813806,0.5726641387491591,0.6923393985927804,0.6249194228569075,0.6921772181179814,0.7106217445117652,0.7515533336423307,0.6415597402241516,0.5997263745848206,0.5548285746030029,0.5850390708844759,0.6126588976925,0.6599249996789124,0.67445244437009,0.9100055701924523,0.6806021865984725,0.7412758196811179,0.6047355031495886,0.6207033574684407,0.6367022359023119,0.6322185240401129,0.7137289313442728,0.6910262647842658,0.6618454308907598,1.1449928618187482,1.5099465118306978,1.1023822734151394,1.307151789235603,1.223564679918975,0.8675022454105055,0.8478487058797569,0.7505776885041264,0.8388462465880993,0.9708724168863374,0.8960420578747164,0.8452817870433165,1.107262040281916,1.1853341987764017,1.3716160806189857,1.0732613228586094,1.0215850341945392,1.3963456983674027,1.3476980899130688,1.0916580301995622,1.2416246756106755,1.7204134358221228,1.2887983416658535,1.2563649552301153,1.592609436930133,1.6300450739650658,1.316742502727025,1.5237658916914936,1.343156404758417,1.7867954676474054,1.2827956887380787,1.3122056833431042,1.6227340258675755,1.5763485885717043,2.5741182137661975,1.9994282597251922,2.5115627814371444,1.966435384672154,2.0219215807711266,1.9539999203369045,1.8831441822263932,1.7095728677390274,1.3981542058763814,1.4884222919906593,1.3176286599691693,1.2600178845856598,1.1217915035390378,1.3037711551053361,1.060808834236803,1.0725155097688535,1.0010054413663492,0.9288903541853196,1.2189092140849214,1.3895304648905382,1.6432703877351051,1.8714916285497638,2.29135564316885,2.213645403161621,1.8747040584686165,2.1343605643135275,2.3499561541105436,2.042484998946772,1.9678784110501755,2.412510638696324,2.447294637213802,2.066373547405006,2.3392171945516362,2.6255600531652394,2.3781644409612217,2.239963730013242,2.467569056115492,2.128657368110528,2.2124506475411407,2.0603461858632843,2.0454953600903822,1.9635171249332666,1.6023854725533135,1.6225050585058804,1.570019748046365,1.44410946537901,1.1759412679163486,1.3045999404648425,1.2944172605147788,1.09546418831215,1.0629744023876828,1.1248312851398743,1.3935828670739152,1.1715107443307737,1.1867708496031824,1.3531732327266797,1.5067600456472812,1.520610114821376,1.3166188675003432,1.1000910246231115,1.0273871635553378,1.336962365991924,1.1803298648529572,1.2758260076161234,1.166127648680468,1.0078114349770528,0.7454217694917836,0.6788331175009998,0.6700899688075393,1.1243435031575062,0.7991401493250686,1.1070377200756916,1.8994903336414122,0.8550962191202977,1.1555758276792474,1.2496791986695945,0.7105680702220591,1.944810702110929,2.0501298775686645,1.3758904472437854,1.912763784512314,2.0087943287755072,3.006437945136577],[2.1908713762377836,1.15121766606066,0.8398924020455413,0.5778501218218802,0.6710273234293468,0.5310191897237706,0.47268845126459974,0.5155109979083663,0.4879306110938696,0.4937597470875984,0.5566226428931481,0.676531027725607,0.5869955683487937,0.5819389838577921,0.7931379401758877,0.7343811362775476,0.7296530491706463,0.8044832078836462,0.861216938884335,0.8339768276071619,0.901887962868559,0.8646378149985057,1.0204369783925036,1.1401203375525273,0.8411619971885226,0.8479412081905465,0.7459466203312919,0.7061705979302284,0.7077376387110395,0.7055558487572697,0.8377107970551165,0.7706674593114071,0.8745770528655544,0.8807384063035879,0.7885769045721651,0.7614501196938486,0.7292067736515068,0.7016680562290972,0.6494621772113924,0.6409073106948615,0.7280783244982997,0.8237265324239752,0.8413688958667102,0.8589417305087658,1.2769149667750668,1.6033799378428535,1.598414171248758,0.9911268538491117,2.2405993083739397,1.9093340378953827,1.1401595125626653,1.441289756335276,1.1913280738438685,0.9531109547328775,1.1569804590204462,0.8491910579115185,0.8157445773399989,0.851090757752211,0.9800218365391107,1.062251438613366,0.9416160255732843,1.0145980819551783,0.981065198818443,1.2496853877066771,0.9359016705032631,0.8807215721289047,1.1597227141815032,1.0085060884993287,1.175012872515931,1.0433359035542116,1.2844465980439896,1.6620796332557006,1.2301213854906028,1.2985180132027625,0.9973447995441331,1.3503004548395523,0.9443585469140514,0.9527952857289769,0.8653513101245879,0.8380264830676429,0.8202102475519729,0.769277596754297,0.8984635681170134,0.7914653674925872,0.6460899709920244,0.6670163028197514,0.7150724725982299,0.7976246306019704,0.7923278130117696,0.8936238953249768,0.9293267641620896,1.0187708828366069,0.9407558905253495,0.8877525694840439,0.8550430361493023,0.9292106668050101,0.9958863640273302,0.7991195717395081,0.7674545081887097,0.9221920480149487,0.7632043439952597,0.8176179236094954,0.7159614621592154,0.7254721161153912,0.6868158748687605,0.6543266774827962,0.9362344526839005,0.6813136572781767,0.6906756940131912,0.772204180124152,0.6244253643338608,0.5153208381409943,0.49876577051845994,0.5027341619099831,0.5629678561998989,0.5486706733084958,0.7191506200076709,0.7767435541660527,0.8855117466943021,0.9229172844910828,0.7945711714720868,0.7136224834557863,0.6548927665238817,0.479679511723988,0.4640940501604196,0.4917783473221988,0.5858393831444111,0.5527315256595121,0.5433219292398453,0.6182113867753162,0.7470926696234492,0.7423449256448592,0.6175439868325497,0.8043410975385168,0.5901374866334782,0.5992381534566475,0.8049789569341206,0.5951029312376235,1.0512141818914449,0.5741156863398919,1.5926870152625348,1.110739082919103,0.7177316208437331,0.6950340855568743,0.6409988106948957,0.621849945567754,0.5703209595407894,0.5880012390957152,0.5703875266301737,0.5711921856924026,0.6569886820241658,0.6948109120341646,1.0859524663652564,1.4300296883381085,0.9784943783668808,0.8220511345890961,0.6934488049141694,0.7006550080335314,0.6569234084119058,0.6420008250288971,0.5733472475099876,0.5943799983856374,0.5439817088020378,0.5717572422213723,0.5746309770252234,0.6698544354450822,0.6099037929166515,0.687437520853059,0.6940492193073449,0.7394724191576422,0.6335763329798327,0.5876003654215073,0.5659655943239925,0.5933578848137839,0.6070278993120396,0.6398036625783525,0.6655081783858272,0.8835764106727633,0.6605188543037619,0.7241038922737948,0.6028165809750303,0.6137844650438186,0.6291320863318182,0.6272020189405869,0.7008381804335322,0.6945090398798027,0.6500249443764506,1.1532579185945457,1.5205026111401587,1.0818849266718311,1.3302454332823246,1.255009673720974,0.9035045774328296,0.8593011132985717,0.7496913972280943,0.8142129128354317,0.9416002190507059,0.8528746290057553,0.7841466877881192,1.0994600327909372,1.1406884054444633,1.3637445665074501,1.066210400044234,0.9848638555419047,1.364813723581311,1.3568954954084682,1.0752564451060795,1.202962497651361,1.7112184623771025,1.3057247543455357,1.2254623502227637,1.5724572784258872,1.6697843573418099,1.3079129146696598,1.4764744294708965,1.2653041013505806,1.7344909811605815,1.163671271058176,1.2321961162775845,1.536150901611822,1.4675273340335446,2.4795344569242346,1.8679309006620142,2.407153429589038,1.8581790729612238,1.9069635748105467,1.8796305073875188,1.7757651480551837,1.5721108240306436,1.3053098036126098,1.4179053219616917,1.1972547354533989,1.150072558351388,1.036209593505017,1.2327229599879739,0.9293021045466583,0.945571453667019,0.9331417077435926,0.8459122967368358,1.156753966612881,1.3389414591314115,1.6028898458546401,1.838439279564148,2.241704155014326,2.188446327948421,1.8439807242644026,2.090006163387489,2.3316947846882945,2.049509924768774,1.955971434435761,2.397043995639883,2.462244039485938,2.08616227601981,2.3122518999935826,2.608357969891708,2.403580411634945,2.2271867016200506,2.4131462815965206,2.072861295630803,2.140850319656436,2.003272074242533,1.9580337035089541,1.8683078330590126,1.5386214004178849,1.5366680386588314,1.4599281028081894,1.3400110687254392,1.0732892698316494,1.1820919812670225,1.155348983884663,0.9637813785534844,0.9289506820585275,0.9720059394928351,1.2486026543718176,1.041814166669272,1.0818276313795725,1.2645562021617924,1.4382764737189988,1.3812583596043781,1.2063701757377785,0.9977007274663038,0.9411795110562148,1.2366763516069867,1.0946632571928228,1.1947540801854284,1.095987873017743,0.9257543897749252,0.7000034803140123,0.6266444188972142,0.6489058077572435,1.1585884642774866,0.7755244727660059,1.0725784355299588,1.9608812658471633,0.8406771535529928,1.1479798607990277,1.2837434425713234,0.7337745771973411,2.068816215635004,2.1896138001540835,1.4279248375268174,1.9712535884739912,1.966081131863628,3.1866890369318335],[2.3026917948870333,1.1791653824280794,0.9448871800126738,0.5178722401415058,0.5754149082164749,0.6238686890942351,0.5289021684154975,0.5977999870464079,0.5667336209231759,0.5684430478683893,0.6430482214850917,0.7102394927545801,0.6622780233122527,0.6561547881409306,0.902506285120346,0.8113564711337461,0.7581976437227403,0.8519835234899247,0.8866074162283384,0.8702978341328602,0.9272538557512687,0.897553016677524,1.0192970226945854,1.1179106057502224,0.8603313374141214,0.8405662089204814,0.7775762680800766,0.7310551704384991,0.7604701898299504,0.7944824590958671,0.9169703912422834,0.8401942418922436,0.9480389292770998,0.9647043328853481,0.8763472548903868,0.8488104353289254,0.8225562209837034,0.7853673647707742,0.7237974099121854,0.7476633681516783,0.8100742315063632,0.8413796514265628,0.8798631651215582,0.8490293128325256,1.20063459287756,1.6000583586292834,1.4908647104393153,1.0020445242870428,2.3490884126492224,1.9369686496964265,1.1212926954162385,1.5685073351323602,1.2177242230353884,0.9770925393835401,1.2100835102020966,0.9592058504691853,0.8901643289891502,0.9356350162045342,1.0502457076180227,1.090676593746034,1.0050118447678416,1.0909564550795772,1.081971544460768,1.2824761542511607,0.980775185948189,0.9662673868630626,1.1805577009855148,1.0494218793764203,1.147005094806292,1.0944051649392852,1.2774684578994846,1.6979995552809133,1.2832570408861477,1.3208270918118956,1.0952040238867287,1.4088098473971753,1.0377883431812136,1.042384754147571,0.9551892946852495,0.9236458973639587,0.9173356378408438,0.8762520951221996,0.944900186736654,0.898732067959482,0.769171943894541,0.7872896370083142,0.8149141918053853,0.9158630457282321,0.8760494577060368,0.9907231338733848,1.0262554796876084,1.119615221976827,1.074418025604721,1.0215072715252747,0.9610803158196818,1.06531868391585,1.0859282853726178,0.9076140105846696,0.8496638539499851,1.019846997264859,0.8433302562818877,0.9114426642147283,0.8104800442547757,0.8203121400621786,0.7964039575664985,0.7358264291373826,1.06119076250636,0.8506024867097985,0.8331286986811818,0.8682701168917486,0.7372651346129666,0.6267828303085794,0.5635147105084769,0.5530238316345607,0.5688871166065546,0.5847257565408726,0.6825370064649413,0.8556468126725448,0.8858660586515308,0.9230550277186947,0.7979304847122383,0.7116425775334285,0.6568304732607837,0.5793988115239455,0.5361153778870358,0.5460774372807972,0.6553505592489683,0.5863137211182393,0.6339986708704866,0.692299560719106,0.7613610900763675,0.7888878885981486,0.6781798119633506,0.9277429287547204,0.628686766859126,0.6307577811221047,0.8052202594819815,0.7077952810263942,1.2222813252018847,0.5843984324454278,1.4468795067531142,0.9365750946797571,0.7363791221350546,0.6472485655493906,0.6360063044740701,0.6705950619503002,0.6074630269566225,0.6307287819855982,0.633615290177029,0.6389907811946676,0.7252561865617345,0.7452473031645988,1.1727638109818816,1.4938157430304084,1.0208562104888557,0.9031404910186419,0.7537025363313982,0.7684301772131498,0.7373958776695987,0.7039904265475173,0.6385683693182272,0.6681211344821036,0.6266518737003051,0.6637715879423495,0.6524704482443349,0.7031515098459746,0.6484561028365944,0.6979320258479864,0.743439284655965,0.7758000979518085,0.6934209388383621,0.6770661183409862,0.6273396021276014,0.6570407787579717,0.6864184744675451,0.7399445894463766,0.7804331490263038,0.9884497738862251,0.7680180566952415,0.814938774903327,0.707754492369014,0.691158502642872,0.6930484186441865,0.6674286137829758,0.6830977648657307,0.6974626295669911,0.693231745738762,1.0865111901091746,1.3870720219092103,1.0243029596043458,1.2486188926398099,1.2455763405706493,0.8318975107354981,0.7933419783401395,0.7559570534736562,0.8004613416652929,0.9065566595338193,0.9225245684131937,0.8652766464333443,1.1103421775200748,1.2492931184573046,1.4439667237498104,1.11962589431629,1.0900378148578427,1.474570074011631,1.4200367531651603,1.1516037966120451,1.323338628036933,1.7972279464664604,1.370705066208876,1.3417414505566632,1.6726637640196773,1.7175334369183637,1.4107588781887987,1.602554207839773,1.4228079189565783,1.862261519739597,1.3177105321693157,1.3790266208550108,1.674160313756754,1.6214735071542132,2.6880016195141305,2.0495249734538126,2.585542014381084,2.04298266003592,2.109645697119891,2.052234040979737,2.0002795545802807,1.792585335281637,1.4870343633832879,1.5960974713461242,1.4090108849827032,1.3264564372506895,1.1910965042829085,1.368708389911515,1.0732677495158682,1.0955353877049814,0.9881581558984706,0.9756682252523053,1.2851279304324819,1.4835393665644088,1.7312359744381314,1.9632864479997503,2.385624578309902,2.3008640363501156,1.9429903376762063,2.220914618500146,2.4449249049390276,2.126021363127279,2.054089447397644,2.499537903638209,2.539374413592005,2.14729607739371,2.40497049962605,2.6851549370900822,2.453602104746126,2.2964966298914002,2.496432938805015,2.176319856506447,2.2679645445998693,2.1325262766084463,2.123378142604035,2.018294789639406,1.6684154673180114,1.6875049873918582,1.6289523989139907,1.4994218288455288,1.2312981680867041,1.375392116821747,1.3220816386597507,1.1318538679320833,1.0856764242024093,1.1419285834422124,1.3547291822735201,1.170382341736455,1.1993533946072747,1.327354535898214,1.5094097353564755,1.482731523478806,1.3299137961742322,1.131266188309231,1.1000146320612865,1.3735947289717692,1.1836248646245666,1.234087408356416,1.1406495211276966,0.995290563550872,0.7359189375324796,0.7188715230511212,0.6405939454316927,1.171188034387279,0.7914284665780404,1.1244529648953425,1.8232051027558989,0.7631001699314864,1.0892907199738247,1.1956639500689763,0.759022068103824,2.0263845559481304,2.3787358855551948,1.442966068306402,1.9171501904892272,2.0320889845117045,3.268438126785251],[2.2912408455819664,1.116589249793019,0.8038431360027587,0.40892604898188756,0.466273862584816,0.5222790876990536,0.40577424486889513,0.43252888861202315,0.4138121982181283,0.4155520200609467,0.49200538195494575,0.5978237992834321,0.5212581279757538,0.5323846673926119,0.7776015286279618,0.6819356002265798,0.6638286737399076,0.7604359288356807,0.8197559566838513,0.7963336999025077,0.8687174958425146,0.8357346461429194,0.9941889076321916,1.1082235652484385,0.7844659326057617,0.786223971373572,0.698609195509946,0.6387280183885942,0.6594921335431868,0.6670171542609983,0.7992679411875722,0.7109555315062228,0.8285497617450919,0.8354883669263881,0.7361912240984965,0.725772260992026,0.6782286813130499,0.6689970279572829,0.6106047274681086,0.6183695477092542,0.7387091770059394,0.7716319486501623,0.7819798293994024,0.7995066484712628,1.1791405153953738,1.533690959819164,1.458053203629705,0.9901711183839017,2.293467370960457,1.8938251210505923,1.1482730031401354,1.442511404885739,1.11162117082517,0.9042326186994992,1.18393408687277,0.8495788251775855,0.7862458209117013,0.8575491076826128,0.9931856851467815,1.046448922244851,0.9281825995445695,1.0020501141973257,0.9868167681357072,1.2255735272876418,0.936382695356622,0.8768859101680453,1.1332086503007464,0.9895216598571668,1.13777526176154,1.0404311127748107,1.2575635659809434,1.6787708668242831,1.2379247123005952,1.2862075461682518,0.9999703154044804,1.3643536653285695,0.9415798887569462,0.9221880262756916,0.8441726255282891,0.8222638102675499,0.7825551229305856,0.7470581519306598,0.8591642602987819,0.7546676204892384,0.600167201005982,0.640554471800428,0.6891083414370888,0.7593675180438211,0.7560655914373294,0.8597451351618591,0.9169346981935682,0.9971400331364553,0.9287487324852378,0.8648561118986338,0.8209311011738598,0.9153114154792112,0.9572008449155371,0.7556725641651202,0.703059170882312,0.8895828139767423,0.704559736365358,0.7694283785126561,0.6627695943755232,0.6825442236253936,0.6607003305611816,0.5725582628298521,0.9149590265997889,0.6821497820047617,0.6571149254038703,0.7512117005481556,0.5835710122762137,0.46718972303435924,0.4091002308140492,0.44128772360225177,0.47219185048448664,0.49167934579949213,0.611421249670138,0.7257792380339033,0.8293749249703203,0.8622742376586741,0.7219995166044614,0.6236787010181509,0.568717788231751,0.46665568071832614,0.4252716190652323,0.4288279343836473,0.5721856297203696,0.45756437387885235,0.49249947331925564,0.5595474287196687,0.678864439546553,0.6979935222716085,0.5325981227645703,0.8063313902984248,0.48661548092652646,0.4902238071434753,0.639926719852345,0.610654746745912,1.1687819508469426,0.518363278693875,1.4888067427456628,0.9426869370132349,0.6556549944732628,0.584518127506168,0.5519874475314712,0.560468413468742,0.4961505167857776,0.49268037880999627,0.4942314005339824,0.4810468836832184,0.5804490707039254,0.6299763542828127,1.1005858243721953,1.577608231076234,1.0425894674115008,0.8169815091782684,0.6199779523043889,0.6295906921390998,0.5854425121979542,0.5400757700246493,0.5013576068818958,0.5337993646259986,0.5130957818014005,0.5470109142989461,0.5570529053525487,0.6666626327178848,0.5821885998980053,0.6495635649837638,0.6732831393889238,0.7271210217109195,0.5950469661828733,0.587721070195424,0.5090725646778687,0.5200877824509282,0.5474780225136433,0.6059115061308681,0.6443259274101863,0.8879945110078826,0.6477675782440041,0.6921260505148493,0.5577156979172686,0.535368513627194,0.5501589377584801,0.5496760677723335,0.5808981278019966,0.6243925168519897,0.6189189376778778,1.1209980663431345,1.4205768808133659,1.0261516972686977,1.234047063795463,1.2314170406716274,0.8016145398016375,0.7407605050222842,0.6543731461168787,0.704517067654502,0.8394099873925458,0.8240095322071566,0.7541037635683819,1.0733221432081337,1.171740189885513,1.397026519641528,1.0752682927682542,1.021669191770448,1.4161448275109285,1.4070780992087786,1.1084894605202322,1.2702181413925306,1.7642419574489525,1.373504549384062,1.3062473420790615,1.6431011130742998,1.7415921827603362,1.382316549157443,1.5597356424447835,1.3549483757238847,1.796447159110884,1.1968573243683247,1.2912905365581393,1.5687728400849366,1.4858623644440292,2.537338743749209,1.8884346666231815,2.4644092727066607,1.9164713999143912,1.96716677794009,1.9246637951142476,1.8553311362300389,1.6339887954788312,1.367406639004616,1.4626650708912083,1.2569526409776601,1.2130721312515778,1.0542649197327054,1.253353951470685,0.9187930603562063,0.9441528836143298,0.9163909741878883,0.8568348133538024,1.1934608647976441,1.378484295199247,1.6429499313383136,1.893590581741431,2.2768175944906455,2.2287476046882095,1.8679128201054642,2.1187395793764288,2.372621263929437,2.0857834559444486,2.0031455171029617,2.4442703321082804,2.514474987656313,2.134261291539897,2.347635811567984,2.6401210760663636,2.455110717183797,2.2622769261221696,2.417333910136798,2.097640909954327,2.1724109104398646,2.04951299355425,2.0061581842836964,1.8989049069526072,1.5883418369508056,1.5991941926097488,1.5084143357507074,1.389558373500738,1.128551756649981,1.2363254981129153,1.1925671676971636,1.0075758659402305,0.9359480724284163,1.006073085416405,1.2149453113511857,1.0423186621622387,1.0901348341874881,1.23915099382335,1.4564749142532798,1.3383037974174488,1.214499241469254,1.0366961028398654,1.0250887740167822,1.2836164210215004,1.1016914427396476,1.161384542122047,1.1143086174253587,0.9275611351186229,0.6664048651358415,0.6074034553533094,0.5662495878375442,1.2045594877204593,0.6563599098125359,0.9901188340695242,1.747340976543703,0.6402162665522483,0.9990501113037908,1.1444879315160061,0.6723033469719695,2.1058722229723235,2.451839754773819,1.4840520590513373,1.90802714847581,1.8432257034610138,3.51918879143833],[2.3997095970850513,1.2031899559108261,0.9454068546817526,0.47750987226892483,0.5303666256851847,0.6274223551040344,0.500994915605793,0.5369395489516033,0.5143212874177325,0.5336601562587002,0.6386094606230107,0.7641900320164113,0.6975975750065394,0.6728781933659622,0.9584165412612692,0.8643290753349405,0.8140707284774318,0.9268175227866366,0.946482968989128,0.943424463853311,1.0047974309044772,0.968525190501106,1.0764469546901811,1.1405282489885074,0.9288607066451802,0.9144458436098809,0.8315198917568436,0.7955394059791124,0.8222688831192055,0.8275352560634529,0.9920230769730751,0.909320229893992,1.0026720844287074,1.0377260206045549,0.9280213718859093,0.905588255323625,0.8652324586371868,0.8256628554834865,0.7566068757222866,0.7550345765635428,0.8507027613116894,0.9179352196816131,0.9569764316528329,0.899160377327325,1.2351622216619655,1.603479822575366,1.4584419846574508,1.0245444233810932,2.3132452458144286,1.899725423984219,1.2112960448444552,1.512769775511091,1.2874953559232925,0.9900555796475368,1.3024252908444571,1.0128380938238553,0.9455168187000468,1.0025653579595042,1.1492873975317486,1.1513504770820886,1.068827060352591,1.1740317740804396,1.153674847137258,1.4062376469033016,1.0818591397113575,1.0290805600490889,1.264425196985527,1.1432291707197346,1.2627855031523403,1.2068002261760005,1.3704157700381756,1.7620568862629364,1.4022004223963789,1.3653699183051633,1.1598717561336105,1.4964633010782016,1.1079702734128538,1.1283460634695803,1.048554859749604,1.005627113593053,0.9631689961890543,0.9178309988834179,0.9734110674957946,0.91753150355435,0.7454631948236379,0.799379164741433,0.8665122641802293,0.9337512949554667,0.9479909287378826,1.0500200846970362,1.1168472304951793,1.1942276407074832,1.1495242895240447,1.0873171945031121,1.0336269260212783,1.1385108873795093,1.1929893269418719,0.9601758712190528,0.8780617980816483,1.012860003103627,0.8711579192688604,0.8618338538556648,0.8233224423703707,0.7999107532441164,0.7677649632509671,0.6815178270887362,1.0215575593487678,0.8090677229706214,0.762571524056585,0.8282413421122419,0.6913543151306928,0.5975715156678992,0.5360315975424326,0.560671284908524,0.6057014039922386,0.5842351793808217,0.7417354075799318,0.8020198483683978,0.9001383359818333,0.9921496632458802,0.828608735971688,0.71231591957771,0.6220250279098312,0.5367206025398005,0.5222180815376659,0.5402239386332572,0.6944364047622421,0.5727574240665606,0.6268949832271812,0.6924224286913044,0.7801829828182666,0.8215348503178038,0.6760902970996698,0.9425431674422574,0.6219047884099539,0.6149553061788938,0.7189099498936776,0.727532960084704,1.1903032128836428,0.605844582377496,1.5385954501252472,0.9564175842576293,0.7197148950845694,0.6890498225149303,0.6882074053542216,0.704222846870566,0.624405360018877,0.6283844823156671,0.6064489895968018,0.5707747826571095,0.6930705870110667,0.7280289332142625,1.2200710591558326,1.6412554528437158,1.07642732435631,0.9256629833638733,0.7449766089373021,0.7420201024927585,0.7143809344382634,0.6696533066745738,0.6154323897181398,0.6810153896233571,0.6279401196244825,0.6793415070802562,0.6663450627294991,0.7465713052576699,0.6776987119562868,0.7171431636406104,0.7494666349338368,0.7991294991023967,0.6839586742724276,0.6928784346919346,0.62710096999223,0.6409065594447516,0.6815515931168149,0.7231994167729815,0.769232848152273,0.9899075138231331,0.7645666366257682,0.8296274118436436,0.6877962152102642,0.6691738692577283,0.6878851102151581,0.6704876187573888,0.6836911143406877,0.7256541884604867,0.7432038208800562,1.1986184324774647,1.420719782840745,1.0671075880926537,1.212240404721655,1.1785952478705932,0.8204023351538559,0.7632573297263715,0.7358513754130329,0.7982856945917945,0.9279601342897944,0.9294360252294281,0.8641592682162226,1.119513891693205,1.285783106626636,1.4862630338477347,1.1549230167617086,1.132017396201164,1.533167969861534,1.487796040776656,1.196567705080116,1.3960128212506446,1.8733491829489817,1.4658142236422316,1.434664481533748,1.770101231803526,1.8363632994934334,1.4752351014988927,1.687879231431077,1.5073558887954597,1.9384951403372768,1.3417914797600412,1.4427781235769122,1.7231329341508044,1.6449279660278142,2.732593847049233,2.063724498383123,2.6294376226629756,2.094157905659088,2.1581967375344018,2.092525971593046,2.055168451801638,1.8232929408817098,1.5434642672442274,1.6374355327435128,1.4542098905873997,1.3920459074759484,1.218022830044267,1.403630600246367,1.0586090099813998,1.079674903536768,1.0048481441858426,0.989855220342606,1.320115004193725,1.524728504821433,1.7889921187699265,2.0199944927856994,2.39688344690845,2.3317599640273357,1.9720517511686138,2.2397858653526463,2.477603191931652,2.1635491231502635,2.104617297958646,2.552372948956512,2.606472675077607,2.21891159908542,2.4606633408818532,2.7470267824071417,2.5498059910284803,2.3736376829454198,2.5344049546249328,2.227022260832491,2.311724834158677,2.178319717262917,2.1602547328358965,2.060975620239437,1.7281650454047854,1.7518402005453118,1.679201934266742,1.5555586964533843,1.2846452495248677,1.42057818091955,1.3681948351916697,1.1672865016135516,1.0821956318242958,1.1732057624224408,1.3148742403175384,1.1433550404641817,1.1844073476232455,1.29925211959629,1.51528964001602,1.4146936688240297,1.3051711052589026,1.167852413462888,1.1754173591827002,1.3921536824097318,1.1918135764296314,1.2126940575803122,1.1807678019772998,1.0211904955458901,0.7540821206807081,0.7300227893549714,0.6343666039292574,1.2411176921153246,0.7400450287477,1.0403153252379387,1.6221723620131205,0.710966664490974,1.001761091712935,1.0968948604708877,0.7306246152341284,2.013025839006809,2.510178498922357,1.431551289350561,1.8553199153596138,1.8760356027846856,3.526504523769472],[2.3438183313426117,1.1704035500554444,0.934465741493601,0.4968313733413809,0.5917840202825653,0.674484507075176,0.5434938203953683,0.5906846884927136,0.5253072236889007,0.5055827856058407,0.5646559714402982,0.660494793792252,0.6050142783480984,0.6410920378787218,0.9024119998500572,0.7798089578747333,0.7783726507642493,0.8900062021075124,0.9605117585241314,0.9197738898153065,1.005282466277474,0.9491360852383653,1.1037748313051108,1.2077906978242319,0.9203380052339554,0.9367118131585125,0.8323119900108517,0.7897303854247476,0.7754766371893159,0.7354068133420399,0.8825378621693233,0.7688064046600139,0.8472752718297668,0.8807570503528792,0.7924958352532893,0.7994972410512653,0.7547942067025873,0.766579790740417,0.7070074948994233,0.6965689683657026,0.8499674679074802,0.8883713801002783,0.9024698092223035,0.8865380313873285,1.26741441051645,1.5987231785393914,1.4739861122631546,1.0659472885255454,2.312536242925978,1.8523142017900516,1.2196860618962544,1.4427976047143258,1.1933043332569657,0.9523245086439065,1.2063682337617558,0.9169560889744349,0.8717319285031141,0.9090508848938894,1.0535057527079466,1.0935948783872962,1.0150961319444884,1.1030467545692904,1.0658089876487782,1.3383585991854399,1.0297722939153993,0.96590206662868,1.2555842725512232,1.1121693756926392,1.2661623456187021,1.2009519034803773,1.4099553005377772,1.8023435172097564,1.377716041831625,1.346406980659561,1.0985422206232844,1.3831957930018826,1.0245857039286739,0.9882767988172081,0.9081083033636503,0.8776124291614199,0.8248149398107757,0.7911334986823022,0.8784594719573817,0.8188878186638106,0.6765889912833278,0.7068208170293823,0.7639381197835945,0.8036530968845986,0.8271137996086758,0.9137119604292945,0.9933557560478261,1.0716372438715784,1.0158154181919705,0.9292065078930242,0.9066054836400852,1.01291173429592,1.0976422536660613,0.7906481041014257,0.7350214526149839,0.9661201501899861,0.7382682720936863,0.8595928959009792,0.736100719768931,0.7684649433142448,0.7540551028811734,0.6905844276383323,1.0280706537801925,0.838231122432341,0.8132833965461037,0.8971197271790529,0.7289805511916405,0.6068872624543256,0.5425048934275929,0.5387648078398426,0.5761823291967527,0.5895677836761868,0.7670060506198639,0.8048473053194739,0.9867861254188688,1.0159801693363655,0.8876518653804538,0.7627221825613695,0.6904859181864522,0.5611992583521781,0.509074416487931,0.5232939522520338,0.7348685611427856,0.5820315211108601,0.6507473365873194,0.6911595561038417,0.8318174060682366,0.8437983651496603,0.6899142759394935,0.9445467118564271,0.622088234930343,0.622170699747569,0.6975065560232323,0.7989025913440566,1.20228261888095,0.6076724699213438,1.6121185311799096,1.008316854930193,0.769011966145532,0.7224899359899613,0.6894080604885655,0.6703011518918643,0.6042499637531409,0.6045284863348296,0.600527427622499,0.5687295976010444,0.7156697727279857,0.7828474154905343,1.2614507724775266,1.854695501697417,1.2550900550866537,0.9372666475836596,0.701685136786212,0.7381676397277067,0.6673426123713481,0.6602015594501099,0.6237850580195993,0.6218383902207467,0.6240252447019458,0.6450137293171796,0.6625911659156847,0.7579631786805873,0.6969423567341827,0.7452503289753556,0.7581106400503546,0.8341844072986457,0.7054222514185403,0.7019232838738956,0.6331207213247363,0.6348305802218287,0.6378887220535735,0.6855416881727854,0.698867747245879,0.9278580105207679,0.7057842019629794,0.764006881459641,0.6463497682236826,0.65829684854311,0.6812275839336386,0.6697889641712316,0.7012582961503486,0.694116703697426,0.7107904956898079,1.1966852179447833,1.4581737052797623,1.0554680941457522,1.2740737470583767,1.3064834809027401,0.8692507820775287,0.8060784814913187,0.7856187643201362,0.8369967646252564,0.9525703044489463,0.9538328964540348,0.8972091895184126,1.2046254437000534,1.3439171902687548,1.5689869448729603,1.2519225001870349,1.1985234345595401,1.5958409530149207,1.5867043680448518,1.2712818769288516,1.445806842892045,1.9314741519789969,1.545022710939765,1.461579010879613,1.7886943057273554,1.8931747459075317,1.48887277595927,1.6589164033527393,1.4713020782313655,1.9035797187984578,1.2921255833447696,1.4276981552170063,1.6986203841835787,1.6194067065147004,2.696223496910925,2.041378624406268,2.6140850312538255,2.096316864564516,2.1499520639641174,2.107863898162331,2.058167201923893,1.8063452103176874,1.5590321181435993,1.6672134358196915,1.4634723183692817,1.3732861516446218,1.2377433219630471,1.44838420198802,1.042702923328473,1.0644265841043505,1.0309764126528236,1.0164228761413554,1.3391600606116052,1.5574577228422837,1.8383970321483882,2.0864950059447893,2.4507123882600546,2.399104149613246,2.0276882138256136,2.277008024753517,2.520012704757139,2.253039493846258,2.1785172176661995,2.614758043348919,2.6901567966302187,2.299937454567569,2.497432863636449,2.7719038736903845,2.598954755181095,2.392432697361122,2.5257068936040814,2.230839794361411,2.317888232821959,2.207727617488851,2.172048529905021,2.051347271610517,1.7488996229444569,1.7619459064969663,1.6649289016868483,1.5445005186821563,1.2928759634409572,1.4101409376475746,1.3262839047084298,1.148466451985914,1.0720485785163465,1.1322691534293077,1.2557430023759069,1.1018499936131252,1.137048770383398,1.249556036906822,1.4791648218123614,1.3251817833363448,1.2237555658360235,1.137984270354684,1.1535278158795887,1.3154330332245214,1.1441574244942152,1.1663969666308664,1.1785218406950717,1.0522439056039665,0.8340902588596825,0.797649307132121,0.7312692890263232,1.3830420646220822,0.8350850715081721,1.1065726372176266,1.6215944565119584,0.8099837608204394,1.0560787918868,1.21056388105307,0.8225611779456631,2.08315207320301,2.575235630213931,1.673266470208111,1.986793656372513,1.8408968950762699,3.95769586503157],[2.3781328286852412,1.2523160796464199,1.0964484454362284,0.6658861275379816,0.6969138627380833,0.7849306615672582,0.6611721424154938,0.6613542133645997,0.6676786735928443,0.7081885413095556,0.8145649691685426,0.847089537636691,0.8326211594754579,0.87762626098905,1.1343074772961146,1.0126449767324714,0.9806025365530242,1.104307870691983,1.1369713841277869,1.1000687247027758,1.1825259981903975,1.1413278353988556,1.2459326595328646,1.3020419589066783,1.0759543034871921,1.085129778531813,0.9793305817849937,0.9629112836363359,0.9713836434408355,0.9385971488614276,1.1606354385663884,0.9997823799463281,1.0906204540612352,1.1344027740129696,1.0318642248028458,1.038177223128673,0.9436630321699829,0.9472355092890219,0.8764062273900342,0.8521519546897176,0.9791275171303759,1.0765318784823465,1.1066345266496587,1.0580562103590587,1.357907011516304,1.658305876010759,1.4976992398302205,1.143700037196793,2.290938758271572,1.8492313115485448,1.2956556659428577,1.5213423305369038,1.36659331863688,1.0557446881391646,1.340829375443017,1.0979829405550627,1.0829623325214115,1.115509204222052,1.2558652597780997,1.2469695952668105,1.2059107616325633,1.3074050515067626,1.2854945074172472,1.5322185382373,1.2332147920198644,1.177476025695702,1.435171520365255,1.3148786775146197,1.4112804369130203,1.3952702853147465,1.518429871256091,1.9037610014753006,1.589235194352599,1.5215174761436852,1.3208926933716163,1.5869657258638072,1.2349972791653474,1.253977759690084,1.1546510985905756,1.1010516147407514,1.0311500627722663,0.9714373941776788,1.0067995165321706,0.9446675811050186,0.8300061734508316,0.8810493630670376,0.9740553170560337,1.0032016236988242,1.0766428316334418,1.1500456092894311,1.2434418734625863,1.341805498834025,1.3065836920732365,1.2258350397281437,1.2010489800380248,1.3217438178444607,1.395579760192046,1.0735602875544215,0.9417825425833833,0.9971235285075778,0.8774390867308594,0.8778334142302244,0.8379497163697633,0.8267483914677217,0.8179585800809068,0.7541429016335894,1.0941359224525866,0.923888581203843,0.8875232967402087,0.9265469684166255,0.8172024813650725,0.7116750641225561,0.651160046694121,0.6624625780560651,0.7438951026569233,0.7623380491273197,0.9068072748316212,0.9882462191584857,1.1438139044594833,1.1952975219558006,1.0503164428093787,0.9247405232569881,0.8253778261528812,0.7574113199224293,0.7035573915826667,0.6835048440030712,0.8217582184904166,0.7011909002997114,0.750639325127384,0.8039542323736851,0.8835656184019206,0.9130214385088499,0.8006285637721251,1.046757455256742,0.7587405833404332,0.7473961743684532,0.8340540897298386,0.8863409910831163,1.242332437701701,0.7486774144493408,1.676681305807313,1.0146145451571544,0.8435555330597877,0.8608062135440901,0.8528043365700418,0.8408164719889754,0.767813578756966,0.7515802466053145,0.6986419630647909,0.6859507895408703,0.7663844730447075,0.7847168950503547,1.265915494825942,1.8134979368462991,1.1304305297664725,0.9372970509724801,0.7750880681326794,0.7841401139839874,0.7671764227299686,0.7299851468529662,0.7129726436447905,0.7986875522801294,0.7697574125223791,0.7886199001985139,0.8242020617531833,0.8696787746153186,0.8086080066121918,0.8395651495643116,0.8531893818069215,0.8910792565518058,0.8022007472764738,0.8031117960341465,0.7569530574058796,0.7421502701235605,0.7513362180294508,0.7640106314629509,0.811773040878851,1.0034393504865584,0.8038424024067851,0.8460388302098342,0.7636169198484306,0.7591071348717499,0.7677081414783921,0.7544544410137658,0.7660499699852045,0.7788608555101877,0.832933799299279,1.2526750392096815,1.4458989906428872,1.107723452219745,1.261199616293518,1.236943576880448,0.9037238748001453,0.8539098664030906,0.8744696407341872,0.9268176586675843,0.9949728063483114,1.0153764816630584,0.9774399242685937,1.2036467021244577,1.395048453180381,1.59027855216297,1.271055639603329,1.2673045409429031,1.6482176611923982,1.6105550140165645,1.3285902718664626,1.5228528732381186,1.9771582951567404,1.5917304097924847,1.5513056910368666,1.8680613149782135,1.938350263407935,1.5849873540127517,1.769853061908236,1.604989590154811,2.007262152014157,1.4278476534017297,1.5464581397932402,1.8168730918139564,1.7496438249005584,2.856812764054333,2.1652783100996174,2.6982629236520017,2.1978628214783056,2.2583910618454186,2.187619557798395,2.1548264939706003,1.9305769428223374,1.661552846038115,1.7572185771006448,1.583292915548437,1.4933390830231268,1.3346369600194907,1.5252222900770902,1.1529905557858868,1.1747282204533003,1.1008526854717275,1.1135117917241037,1.408050788613336,1.6200791973740962,1.8846148257353854,2.1140862336011748,2.491521659357795,2.411181532157653,2.0526508010470392,2.3308236164200666,2.5598755100472492,2.2624137109076248,2.2080959897973598,2.648433280137426,2.7077018905537606,2.319527456987255,2.5504864901724282,2.8265522453868077,2.6418585438167925,2.4476952273932473,2.5921969708679176,2.306538593744148,2.396342590897895,2.276294314036687,2.261672208249541,2.1501069327078524,1.8298921179461747,1.851919271297815,1.7746526542526198,1.6528808422394938,1.3976345590408095,1.5370245810280836,1.4636119868151767,1.2837301364610896,1.2044004257160703,1.2801123938365282,1.388342007454593,1.2406911788188593,1.2716095340653502,1.3667789768656597,1.5848801404564048,1.4550698883619781,1.3717947720562427,1.27532233518664,1.3058244286817031,1.4672007754784357,1.2667926527265074,1.2725093995576133,1.2458483091474073,1.134537618132124,0.8988128176321731,0.8907566249870428,0.7831749827194215,1.379510956770075,0.9068215724898786,1.1793365993140348,1.5323150602253155,0.8996757723978536,1.1112689082312923,1.2248760747612086,0.8696273545784047,1.9870962901874598,2.576013155703665,1.6253022462343572,1.9845631421438334,1.806870455414974,3.824904204090061],[2.4379000122361023,1.410026740571122,1.2926575915776435,0.875266064050754,0.9415006154613541,1.0032072619409027,0.8945753037878127,0.9234791497626796,0.9090025790030702,0.9762412208135628,1.0993049368596604,1.133057785902142,1.152017008486892,1.2042618760723813,1.5545457256237507,1.4226529859811514,1.377074783608786,1.546842662209473,1.5997837747611143,1.567538755799853,1.6722144044507332,1.6238558528302114,1.7234091803622813,1.7278406778519961,1.5288442607557227,1.5386825409979015,1.4172550583381889,1.3742722116449433,1.3962663602338505,1.3298574272823462,1.630582158475304,1.4097240728279308,1.4824742290342132,1.5837984577700246,1.471303770447306,1.4789735421725705,1.3321061237268241,1.3537679078798228,1.2741803166401426,1.2441286058770795,1.409831621713219,1.4909189084511258,1.5307959261221618,1.463219210495514,1.7243729831863266,1.9965706977153743,1.80323151803364,1.5719060476520836,2.512837478431994,2.0932653784883524,1.6868098830395226,1.8131841763631609,1.6532397194072415,1.4109603613394337,1.6513218424144815,1.5050061613999517,1.5113892658183146,1.5386641313471512,1.6688378583714578,1.6627667625983258,1.6433536273235292,1.7688254573576003,1.7499910154290856,2.008648709086231,1.744018813700642,1.6770043182402476,1.9264217608764207,1.8221068454674545,1.9227302343102282,1.9283209775664685,2.001243133693785,2.407045832272744,2.138921985477075,2.05426390209642,1.8650366872412347,2.0506091675884734,1.7581332704854158,1.7597844550260786,1.628906877170257,1.5684502373507068,1.4144371687278592,1.3307203060420703,1.3185389695594538,1.288357296774243,1.1789062610943817,1.2344370788035814,1.375560776200785,1.3454320275626368,1.5233193958961968,1.6255234338109106,1.7471862166748904,1.900115308085748,1.8727151208331383,1.7659577186894322,1.688625615246117,1.8535359293575124,1.8372582868798228,1.4801695499216256,1.3040669514128185,1.266244125532177,1.1948895070254308,1.1546791976112178,1.158273873683757,1.1396406856480183,1.1370627940438556,1.0687469957413012,1.38183292170692,1.2570513926174023,1.1902771726574204,1.2201016192609704,1.103470410970352,1.0114345007197352,0.9490965338451397,0.9703704456542753,1.0554252603753287,1.0527781236454752,1.267072947197547,1.3140152283371507,1.5792441917347118,1.598127151141033,1.4409195800586188,1.2597898702520087,1.1262803801621617,0.9938146529620461,0.9216448740405628,0.9374603679683187,1.0429564300156227,0.9782776259336904,1.0544227102831085,1.1022164258211322,1.14440108538381,1.2032747267329464,1.1107066024758427,1.3141939875355904,1.0630297025091853,1.0653330166114836,1.106374145121058,1.1741661840144602,1.3976718976479454,1.045320065437971,1.8523096457012578,1.3199631775038294,1.2441222155643965,1.1995422561438986,1.2300997842727897,1.22217732249185,1.1194250759077318,1.1015579383556258,1.0205870759277231,0.9734448495118329,1.0627815995641001,1.0695058921758727,1.5536727224402709,2.024987592160069,1.3637691843684583,1.2136825708034764,1.0955068885948234,1.0971307097993774,1.103792182516698,1.0768761906240363,1.062645694221218,1.1492243821595367,1.1268498832749287,1.1550531884420805,1.1692226171523452,1.1709369934908505,1.128543628661027,1.1363862188344722,1.14261975862682,1.175767065754679,1.0974628700280065,1.1102386296964193,1.0972559474720294,1.0852704302276182,1.0956966020179495,1.093676870575824,1.144439682854602,1.2970205639548205,1.152888691030402,1.185806212402525,1.1090099655101866,1.0862241694455366,1.100846258356427,1.0894955803076507,1.093705736201206,1.1205989057621595,1.186350994741834,1.4928433916650308,1.670695809777683,1.327965077497334,1.4844029311739166,1.4584802469130413,1.1540350292430483,1.1125800309219689,1.1804851248287225,1.2190885758017573,1.1977364816561842,1.288434434492098,1.2570831405482856,1.4079533036118574,1.6404508836051785,1.806433572846104,1.4896249545236693,1.5156209603338786,1.883762452485703,1.8139983852313681,1.5301670928642492,1.7565663412013868,2.1841477867592074,1.7903785368063996,1.7719938380713731,2.0980716393673937,2.1254316634059847,1.8003355004380743,1.9977119719324001,1.8328504644294021,2.2367007278980395,1.6768441987843752,1.8122694661345322,2.095693168159282,2.0618061022948155,3.1641273176168823,2.4546355975274663,2.9229086172840164,2.464271586653403,2.545921181291846,2.449954849750675,2.4262866604716824,2.2328048550010977,1.9564371598176535,2.0334891349908055,1.8833242776857495,1.7790790426742291,1.6163770986576953,1.746537053315417,1.4536961126611323,1.473907386734324,1.348178116387067,1.4008121524787907,1.6458270446615753,1.8737429450300789,2.1350612740153525,2.336661980191189,2.7266842164545975,2.5988146888906107,2.2606864946520266,2.57526649706821,2.785707946226369,2.4442374954708597,2.4152457505741687,2.86025828672521,2.889859525930393,2.49895483417041,2.780708076735872,3.056040910836492,2.8252418469397984,2.659129905948568,2.8315996390344846,2.5502039913645254,2.6568164456409766,2.529912804237065,2.5413070598029344,2.4384879323954634,2.086181392117993,2.1245451614694626,2.071222089514028,1.9454827538469412,1.681618398220528,1.8432388717160213,1.7635328671674655,1.5739913101875338,1.4985365973532851,1.5953812738825333,1.6453537691530657,1.4880798032876428,1.482589917940156,1.556511376772913,1.7280184609780826,1.6590970867268922,1.5519087451454463,1.5072894845309504,1.5339814963633593,1.6339697890684481,1.45343645465412,1.4425700279675802,1.411563949116309,1.361521489108199,1.1447524244507883,1.1710259879971663,1.0226237356767447,1.546855532856724,1.2127181787338857,1.486783982488539,1.5905913324443535,1.2088617309828444,1.3829864939433976,1.4636679880665553,1.153534405418154,2.0048375894724706,2.6113454862138914,1.7368387059062018,2.0723459920857352,1.9256276955684442,3.7318633498604292],[2.35085980284254,1.1798650677694014,0.9896070107369674,0.5796929654681563,0.6732513277280572,0.7523544233569056,0.6554130016543736,0.6964931857277609,0.6623788273709448,0.6750279413342135,0.723583943264895,0.7828232268800708,0.7680627876575594,0.8232040135718368,1.077302007126748,0.9563996812479917,0.9662038588850624,1.0926581387812564,1.1760521359166218,1.121950763864961,1.2277519591532144,1.1727101146044134,1.3183475168711192,1.411665319492312,1.1326307154991941,1.1573956132616938,1.037666954603108,1.0008823988180904,0.9775739873361131,0.9095865052535402,1.0808390150243319,0.9411321466081041,1.0044539746070846,1.0620680331222607,0.982965245246954,0.9989942651469759,0.9308034874661626,0.9601396037521389,0.8996581608880642,0.8853797892923642,1.0503088309807993,1.094219637385615,1.111592737130902,1.075017478643703,1.4267519992860977,1.7091702245405482,1.574418519609538,1.2403223223272888,2.3626477692249144,1.8616075626821833,1.396779925918453,1.5202320342880837,1.343871438119409,1.098733978000654,1.356282308954231,1.1076274771808186,1.075800475533751,1.1047811853760707,1.24817200311207,1.2778956352413753,1.2317659534837089,1.3266320269051008,1.288295223375134,1.5840853364628409,1.2629962196854703,1.1899445261160841,1.4809584363787902,1.3373816706670463,1.4990556184374793,1.4395514182105105,1.634170626806766,2.0513218661950328,1.6242854064188255,1.5808214756775976,1.3229953674435893,1.5722536950873875,1.2455802555782418,1.2107360758166805,1.1210612530120467,1.0902014350597173,1.0194412535745798,0.9695851690283922,1.0057043697189938,0.9726602986056556,0.8454735017774525,0.8780343095558322,0.9575427945515292,0.9673239066870737,1.0303608564127495,1.1085042870716917,1.206524652306313,1.291126726648485,1.2471289328044342,1.1447737209190583,1.1087293150525206,1.2285935331402453,1.2776262240869936,0.9627400988041773,0.8793004887034019,1.1026863593071647,0.8860022009524057,0.9857777308604276,0.892376742287755,0.907358717919136,0.8921341022508407,0.828348896762314,1.161731278008245,0.9836151977360544,0.9267644432618536,0.9939983253004381,0.8404707380700337,0.744529722619934,0.6782456676607321,0.6921788458124025,0.7413533314992584,0.7732937573370721,0.9571967105078816,0.9957973745132443,1.2365384535029247,1.2262634774579988,1.102645099851149,0.9674646562115852,0.8932197370999269,0.7326293506679685,0.6702625573212608,0.6703807650341471,0.8385728312365905,0.7144010264624455,0.7755081264789436,0.833745322081552,0.9331104535483205,0.9654846327669352,0.837082281260978,1.100136779602626,0.7737008141678784,0.7803427582318065,0.8057966432403015,0.9435151341197557,1.2712101396760513,0.789416436973359,1.762102973965525,1.1394598326208092,0.9778496212304908,0.914655394547838,0.8883217484559935,0.8609840531063286,0.7856863112427864,0.7755484049302718,0.7535771953999011,0.7115761319411502,0.8235886677656575,0.8785524204473067,1.3876292398003103,1.9218358243542621,1.3157501670909821,1.056288937773364,0.8296720746857633,0.8658664493380369,0.8185678766268306,0.7993958978818433,0.7818379146029241,0.8090231857701277,0.8059936492626985,0.824434577298969,0.8482885025335182,0.908489572672381,0.863971847727105,0.8929691272524305,0.8877255005841905,0.9627251103801803,0.8582525811902362,0.8608583745321928,0.8053657207662664,0.795751164745391,0.8018602433370683,0.8334866684684705,0.8510295879243925,1.0536335059820754,0.8629638376335198,0.9019021437197255,0.8136649428038027,0.8113296455363459,0.8255879882638681,0.815903566474251,0.8397347205748578,0.8373971388575353,0.890288882064554,1.3097391779602772,1.5466107016126458,1.1602684075200556,1.3460094918498404,1.3604205177729036,0.9429819250020168,0.8948142525181281,0.9172930177644529,0.9658220075398404,1.0267872917358205,1.0511935653389597,0.9958314819255445,1.2519405489750244,1.4296321746167522,1.637125271142005,1.3089272822027596,1.2718993271214711,1.6723663234682236,1.6301949293835527,1.3094936391630407,1.5109484862103602,1.9952101766787065,1.5744007973631484,1.5132578388223432,1.858862238041039,1.924998898732888,1.525286506863885,1.7304060216955743,1.5444545063115571,1.9955560803651249,1.3688526330936708,1.514051190110937,1.8104731306911805,1.7479113879124146,2.818965590118239,2.190640191280297,2.7629263904572863,2.2480212602423313,2.3200807798856955,2.2490861266946474,2.218311885868224,1.9769795230592833,1.6947887350527122,1.8028121266439936,1.6133282601341,1.5085617451918685,1.3617352224985766,1.5674371084651537,1.1620793032950447,1.1648881609238644,1.1231827070100033,1.1247646999492729,1.446964247101788,1.6753909986874291,1.9427686608974952,2.1915687418389522,2.5774500764928985,2.4955521505469895,2.117754612268114,2.3989693140487227,2.6348059610912684,2.3197255298690163,2.2573755118232173,2.7108450413767646,2.757443935200536,2.352371111375309,2.6019756455542318,2.884464275576901,2.668896697867459,2.4830702566913216,2.651686449194356,2.344437925932347,2.451973583704222,2.326651310182916,2.318320654290672,2.1944712789835505,1.8476594031642812,1.8843458903964307,1.7948546324289332,1.6560124573220265,1.3948966085702643,1.540376843909051,1.4465574918512163,1.2387327158990764,1.1726511262691721,1.2473406501894342,1.3338087653558448,1.1677061437748866,1.1824650557866845,1.2798989241532035,1.491973668940766,1.3821487314792216,1.2655113133971019,1.1973428500907848,1.2084059339189097,1.3507208754466993,1.1795183909299927,1.1937787500378336,1.2090487864583281,1.116105788546112,0.897116276213315,0.892369407350568,0.8081536655761867,1.4041400935824642,0.9241950386804716,1.1975630003691764,1.5242851803167703,0.8967392734806655,1.0929284452695593,1.2215251365355433,0.8744154988147751,2.0176955825330447,2.5511145976939695,1.607434971297103,1.9722737483764279,1.8353615953671718,3.8980060756216326],[2.4124598773535704,1.2514930117126948,1.0316324247568711,0.6057868608307041,0.711041594092568,0.7769029965408772,0.700940278344306,0.7775410559867874,0.7200489088455906,0.7088878846549256,0.7774786559362629,0.916260130902939,0.8736104354724593,0.8202542148631374,1.1132830728047036,1.0562372620465559,1.00139204374193,1.1174447221251484,1.1647473138855813,1.1556761780302223,1.2418111630124222,1.2187072378336241,1.327901792027239,1.4001976471761712,1.1395275102986036,1.137856467670196,1.0422293726412273,0.9997413721434476,1.0313158546517112,1.026941956496626,1.1787018850871125,1.1398679840823402,1.230189814835329,1.2724167464446998,1.1773663268327774,1.1246778331838123,1.0956892358702035,1.038879012510803,0.9834874349777694,1.00479535351199,1.108278341804326,1.1469348187406638,1.1770366996884085,1.1308130515412584,1.4223268728523024,1.7103404118735772,1.6011692808696854,1.2769393300280554,2.362663934827098,1.9368134257018066,1.446181371504848,1.6554695240892592,1.466949578076291,1.211480830387435,1.51151750685168,1.2775423621388355,1.2060093657530635,1.2590756043560323,1.4021041723833405,1.403186998745812,1.3299845369167131,1.4258978736141756,1.4097173374515668,1.6279730746735979,1.321651264762011,1.2873855361480715,1.515579326168583,1.377032236335027,1.4772719811132697,1.4087144154158102,1.581755313094429,1.9863849084609408,1.595175550814361,1.589181761852456,1.380056702490769,1.6694070562067198,1.3550152281583134,1.3763082346976712,1.2932588327735792,1.2564046497460504,1.2022482092132758,1.1543263932558572,1.1793209093091683,1.1359979309690451,1.011702040421072,1.0371383769877844,1.0903887787003828,1.1406933961463035,1.172899067044204,1.319970119479569,1.352759507824336,1.4189530204293899,1.3786489115760552,1.3107069519679904,1.2325087409195854,1.321699621577922,1.3231787916242876,1.16053023935926,1.0770741772451824,1.2617952558039434,1.1158571262148607,1.1383237149340513,1.0905110044131037,1.0687771047661934,1.0529168181533564,0.973962592524875,1.3175822176618242,1.0690112903311073,0.9851823562292774,1.0984062753396542,0.9021153412280987,0.8350861760226438,0.7536864173089283,0.7647306079005662,0.7910874226813003,0.7726792272029347,0.9250747418122477,0.9130767798710459,1.153565164985717,1.190476567707687,1.0290880493829242,0.9006545802208528,0.7965632289712006,0.6912026232283716,0.6736506603098243,0.7045109526273816,0.864796106609493,0.7825003247437519,0.8413180258272559,0.9360335075298654,0.9976057280876194,1.0685826606298117,0.9287751910985376,1.1624846879671238,0.8570026072372662,0.8344674881147732,0.837415347551399,0.8883884352457004,1.2534416132337165,0.8000498305596804,1.705173322268555,1.107614478493102,0.9237884231910132,0.9006520948579075,0.899453708342111,0.9010834060587228,0.8360457893697211,0.840712288834242,0.8568859101507377,0.8089894175975137,0.943611383727949,0.9775113472535276,1.4576629733898012,1.8962809100986726,1.3397178194983563,1.1899693168812784,0.9973150584647582,1.0240883767991906,0.9847690034188336,0.9271168439746876,0.8788187727271534,0.8950852106897913,0.8544498128131778,0.9162744299518981,0.870922099667138,0.9290100399282253,0.8912935145279629,0.9118077488199299,0.9450134051347446,0.987539246944062,0.9042672495030413,0.8972215432280035,0.874033391759327,0.9033772081347768,0.9453138503220808,1.0117924633914877,1.0158664275139304,1.2423772474890464,1.0316434473234721,1.0979709440035992,0.9490522691935837,0.9549241587950994,0.9725877678646366,0.9526371062025869,0.9432099282698914,0.9678613173961946,0.9935677572551243,1.402014405191307,1.5682253175080485,1.2453374293987887,1.4081398530710705,1.3816000422603687,1.0424814473641195,0.9855937460644874,0.9610704676838265,1.0201734432976728,1.1185861507805264,1.1243245564063802,1.0590035224206509,1.2856608135046192,1.4686974995141675,1.6657374535529934,1.3232381149025616,1.2825964576011237,1.696688561707357,1.6276573537522572,1.2973546751709895,1.5279972602150254,2.014641775756808,1.569792937797005,1.5392671385155392,1.8906718743126367,1.9271030760403518,1.5287003752262418,1.7850746371147348,1.6052253210860323,2.0475041693670835,1.4454970838649062,1.5730413047797314,1.8658457090430665,1.8121275494690752,2.8232693722901523,2.2434962259411133,2.835639984747784,2.29040274098531,2.374582073218052,2.3098579528211713,2.2958320547147597,2.0402654074326274,1.7421136806038033,1.8455934995502776,1.6831592253453613,1.6023393093202682,1.4190235175111203,1.6053007704748103,1.25172813006647,1.232341689348823,1.17430768116508,1.176399180036467,1.5154348804503104,1.7236494653760857,1.9964681457801607,2.2408240639286516,2.6388289147559956,2.5457853907822328,2.1641852275805626,2.442122707582647,2.6679927044455187,2.3411877378955612,2.2752867086520587,2.7384042723080313,2.7655113937916993,2.3567178924140735,2.640582062866568,2.9338219798289553,2.679203092726112,2.517689072411839,2.7158028074051814,2.400324954236968,2.510543129124088,2.3708652153210843,2.3727363192847766,2.2569192500707156,1.8930729180430734,1.945034840117281,1.860038230733697,1.712220963319899,1.445313037281476,1.5983781078824162,1.520619904533088,1.3128146130791716,1.2325837474314876,1.3294484970051281,1.4375657979154004,1.261493754293894,1.2802309111067218,1.3795322517663293,1.59254085503707,1.5090733169873056,1.3802333981917543,1.2582388103570115,1.260278067310648,1.4373661420725354,1.26502337734205,1.2855885062459849,1.2488015364717933,1.130312776661188,0.9033428406966492,0.9138754118574179,0.8155220798453339,1.3475566163796329,0.9426544295441844,1.2027174784867831,1.6293578136115254,0.8837787442614952,1.1345067570327818,1.2376941440808118,0.8972700571461703,2.0254510797285357,2.5233805475138813,1.4964573295320762,1.9077068356817453,1.9710000106697683,3.683414354616894],[2.3035457594736375,1.1408568972884126,0.8325654069425193,0.5246418713934399,0.5803316807560757,0.6071534205403883,0.4918195580774581,0.5161436582009742,0.49033856877679494,0.4658146784508996,0.5064239944959448,0.6117952463640454,0.5557981369626829,0.5681894629571388,0.8032972463692984,0.7197342677079638,0.7382005395712026,0.8438988179802179,0.9368909473501409,0.8926447598992443,0.9886667938299935,0.948133973758304,1.1205655103218555,1.2507914409557654,0.9051187983093547,0.9185730755676922,0.8131789443544303,0.750254154759793,0.7368573518180092,0.7063639514550116,0.833253910710489,0.7368360724301358,0.8550455216216436,0.8723661247744803,0.7809265256731783,0.7768056369833055,0.7380884104677792,0.74518863908329,0.6859455000841864,0.6852398549139705,0.834843262657094,0.8747453445269421,0.8850912717194441,0.9010128749792077,1.2918755318205248,1.5611670394598811,1.490670002310126,1.099153531015857,2.2497271478357415,1.790777125975383,1.2422514838902408,1.3632287850167386,1.1544367743778303,0.9504865642961723,1.2103623825773533,0.8924337988219992,0.8720091627386344,0.9030228988077739,1.036747169938334,1.1188836263976427,1.0140949779894448,1.0971838328469896,1.0556436151079442,1.365084893401886,1.042898603304843,0.960847147336494,1.2543162594880148,1.0876159794143272,1.250390380521225,1.131679837211232,1.3689369010582828,1.8007897794408452,1.3120946524334738,1.3602387699597578,1.069461179695202,1.4223908849583784,1.0215588024588438,0.9788492500009721,0.9056732787199614,0.8846982239261365,0.842409567301744,0.7864390430787503,0.8725519765660716,0.796411785021588,0.6482053472168753,0.684582997197346,0.7482011221486679,0.8133472127282455,0.8150159730112759,0.9213393741782023,0.9682431865705937,1.0261595314942802,0.963956906699939,0.8923419660651747,0.8463994411589498,0.9337792050218026,0.9977683914517359,0.7590425719964294,0.7114459583480365,0.9600632632692465,0.7300449496303181,0.8317532174843638,0.7130867068880422,0.7186811088212016,0.6915213380180425,0.6156918840444235,0.9447228447703326,0.7272961965518527,0.7059529347184269,0.7953814604517039,0.6314356358680444,0.5376166983193066,0.4976139078354819,0.5175951838445266,0.5511876572726921,0.5826586378976217,0.7448024371659951,0.7984621932223416,0.9792286163295804,0.980360756219162,0.8537547528223475,0.7512282038713743,0.7147724314212826,0.5106001651931434,0.4858247716721084,0.5069708389777946,0.6665237526963157,0.5397263114726331,0.556920071628314,0.6022937207873389,0.7604559752649461,0.7421461626044914,0.5948109513878476,0.87764876078176,0.5679202183771513,0.5761680984768733,0.6902386836239389,0.7319695642076942,1.1633004475470963,0.6527604730343926,1.6695815009522248,1.0797181547466033,0.8086799257055207,0.7465898716862275,0.6794278562614278,0.660921429414314,0.5911965227281093,0.5728596011440295,0.5566200327263808,0.5395616414508223,0.6444242103839788,0.7194681183623612,1.1998216968924644,1.7310987646277884,1.186839223380168,0.9041681789510626,0.6639030932225803,0.6806715658360184,0.624090987773355,0.6097668816720391,0.5823928512910896,0.6072698897182077,0.6056006627273686,0.6210973028422249,0.6565403696602711,0.7303479426768867,0.6688453729849048,0.71359827036206,0.7126234573631626,0.7875479484302802,0.6596388629568996,0.6570468000649189,0.6041383971495389,0.5988163107948418,0.6073954955880095,0.639078429024652,0.6751851582503053,0.9119583396645016,0.6873883782511863,0.7398725861456068,0.6197731128237061,0.5978202194290667,0.6180976792448515,0.6107555619534759,0.6643355867055571,0.6705947823116152,0.6818741637475806,1.2166632356603253,1.4989077928496544,1.0519602924388585,1.2895675489816198,1.31843170420487,0.8492055250715707,0.791920842654569,0.7372500664954355,0.7737731652344813,0.8886587174406773,0.8638072913866829,0.7967162254134088,1.1161396571902622,1.2139727464703816,1.4435199452009069,1.1310349952319214,1.0626063811478883,1.457445365924312,1.451181702926579,1.1559247537435104,1.3047041233465522,1.8010860861409317,1.4085994834021687,1.3333603627071051,1.6716316419190027,1.7737314596113747,1.4047033820400068,1.5762618891503828,1.375784740112577,1.809378885516056,1.2040855874281648,1.3035157029406397,1.5883453511863674,1.513704015730269,2.59768326758357,1.9279242555753684,2.50474654719062,1.9711683434712537,2.026558465885407,1.9853247463327768,1.9226796825828592,1.6776178021075556,1.410960431362927,1.5098144035227723,1.2997032849646495,1.2326387206603038,1.0919304345453191,1.3209540856828894,0.9359499875095885,0.9761827607268128,0.9646672403857002,0.8920246205384822,1.2268998944268497,1.4268276581455253,1.696683475863388,1.9636230205093967,2.353847942418723,2.300756691752123,1.919589232436785,2.177977182671253,2.443030339143366,2.1438355622005516,2.0601044742487673,2.5142234994300785,2.5822910195535758,2.183313458144,2.4036572197529065,2.7028728787984795,2.507441251263265,2.303400276497853,2.465294393818913,2.1384300268785816,2.2244032120892685,2.09897928754193,2.059447199379848,1.9446693593970699,1.6219903733301355,1.6362150410455785,1.5369096644528,1.4120654564908337,1.148290561791362,1.2601590855726639,1.1945193918198451,1.0169484887312512,0.9568007258518013,1.0121897487801947,1.2006114092402633,1.0402069965762795,1.092681500430074,1.2567244658595544,1.4787350382176514,1.3246070201936149,1.2211279647661273,1.0593157397672819,1.0529430023930126,1.2936621543167894,1.1274351978424062,1.1807567658142437,1.1446656529880859,0.9696124866639072,0.7487242233369644,0.6802201954250534,0.6687358341596189,1.2754535342381514,0.7273944535403466,1.036656536175537,1.6833180868670639,0.7150412427223496,1.0090242134471228,1.147258865040205,0.773615443194494,2.1706655968506876,2.5443139954516396,1.6019423137038677,2.001924976770025,1.9044980096182935,3.8603156214611802],[2.3145391474448727,1.2299368536408934,0.9433618099380322,0.7375711607220898,0.8525517896032149,0.8629348527954773,0.8697225783777134,0.9727211093385831,0.9247619322030457,0.943996725078549,1.003456907623762,1.1581376512313533,1.0825610147228513,0.9931960002710807,1.1912907028675135,1.2043573926022768,1.1480434901874639,1.2540446429864518,1.2850111192333555,1.2853915846498372,1.362396506972943,1.3447254645694635,1.4892078719598574,1.6102031788029705,1.272880054331086,1.2665040922027329,1.222073616789662,1.158971087276266,1.1927597808698196,1.202569206702928,1.3043770587768178,1.2765696351430598,1.3896537285901225,1.3936367512003471,1.321879498229469,1.2814685742501726,1.2675402809790206,1.2380328955537314,1.172327561489261,1.1959011797610675,1.2324670045553214,1.284471048899897,1.331259814321537,1.3120632785022055,1.6578996813547908,1.8124358012910775,1.821312698433215,1.5128091690855918,2.374535538071705,1.909891143958031,1.5763888611120902,1.6625761193969815,1.561508882416697,1.432461019894283,1.591927546118606,1.3730653048862957,1.340321255802799,1.3743794287989497,1.4890970432680504,1.5023122133088092,1.431726934031288,1.5312349464420687,1.4992839819974995,1.7677148878002853,1.4597600706441658,1.3911461488184522,1.5660447837362685,1.4673169512537543,1.5442441785149474,1.4522634370993683,1.5707294824179405,2.007850660522132,1.6122748413888643,1.6924860523778955,1.4576122353187417,1.7505187236625328,1.4583564812233891,1.4590175361133026,1.3964116091192955,1.372414095803022,1.3876283479880596,1.3319294181148216,1.3611267310137884,1.331540680353254,1.1987163990890761,1.2185744747786111,1.2674226628786631,1.3064604735938778,1.3136084019102325,1.4219748885932897,1.4303817653623303,1.4505725549392943,1.4174963723091925,1.3917617489844272,1.3338785416249537,1.4001317885929523,1.4288301797187366,1.2862332519434017,1.2402303928050402,1.444211221387993,1.2742570716470807,1.2756890796103233,1.245218982998327,1.210054722638977,1.1799917288464439,1.0989273108292703,1.306024786201135,1.1387519497700958,1.0991157888315335,1.1692376422330006,1.038321714465794,1.0019622981916085,0.9722555812743083,0.954194365590127,0.9639961700349893,0.9430012620643229,1.0972809596778355,1.0831721095436415,1.2895658345074632,1.3065205144943142,1.1731875140930488,1.0691620265516935,0.9830721839016903,0.8516451282124691,0.8341822774844966,0.8515651425733172,0.9751372243084452,0.945964447758671,0.9745711436544432,1.0640861109904616,1.1039330190991419,1.103779881630171,1.0316692439899073,1.2767918926565058,1.0052396986484342,1.0160055100963006,1.0540300557546751,1.043365887218798,1.3079550797512909,0.99141518184689,1.8584374288630063,1.3209898143122087,1.1011811254710036,1.099567001693789,1.0873493952322693,1.1277721009952129,1.0213516449493205,1.0451408538061961,1.049519664252057,1.0432344079821634,1.1164226305836833,1.1780963980507972,1.5628040447170926,1.945242586145866,1.5587106746365467,1.330404343926518,1.164913286185258,1.1751669205902062,1.1480346425803363,1.1034719675537357,1.062264812653777,1.110713458898525,1.0309801331810537,1.093549402856963,1.0607840418306127,1.005615554257503,1.020698331709323,1.0052342488285508,1.0153557470677235,1.0642349802345008,1.0346072612824673,1.0109650448014393,1.0477560550832765,1.0771236228889858,1.1143957946838263,1.14606804161419,1.169082103916714,1.31210583186172,1.192510326349095,1.1814905596592424,1.1418222732452852,1.1002457179960001,1.087831065705976,1.0715369320640462,1.074510234769819,1.115584699480783,1.122094523342859,1.4161065402203479,1.7493803575940439,1.349493388033361,1.460460078584261,1.5752733886355696,1.1567345229030002,1.1178440491370698,1.1089199884662235,1.12732810676561,1.1975898448960896,1.2072855048794178,1.1372839575738616,1.4185247922279294,1.4973539835022935,1.7353274066548896,1.4298839041362996,1.3062598951686666,1.7052991029976792,1.6874140029357818,1.3195936990065154,1.4901719408367538,2.026365236037487,1.5714853568561733,1.447209828932187,1.8257997794479606,1.9267324310482916,1.492207156962273,1.647542700577564,1.4260337532488714,1.9416926977141802,1.2741378678174893,1.435028638612943,1.7652443436609464,1.7003363323959677,2.721341961964666,2.140818580918609,2.7107991346400473,2.2063620227820624,2.323407618001927,2.2838349301790672,2.216301654124865,1.9487555954829388,1.6824738840527214,1.7971167694064416,1.5597824966055511,1.4380344569529322,1.3509698820047347,1.5644391781792661,1.183059701776881,1.1731820626727096,1.1868322935418054,1.1562941546106293,1.536697976890424,1.759261834734968,1.9988479028340729,2.290738515428414,2.6876041619539617,2.6550629307981155,2.246470363212114,2.5038012863153156,2.7554790568677974,2.4570804774142796,2.3470598646771212,2.8160929541361703,2.8705909167896406,2.428615235810784,2.6653283470956497,2.9710261534472737,2.733168956158215,2.5247949658998,2.727068868458566,2.3827023571538413,2.4940338319982334,2.369480442048158,2.3386114174699517,2.193093892126497,1.8451321149142677,1.881787452259736,1.7584758587232223,1.5946891250030761,1.3523030590976792,1.4739786525205303,1.3410361047949846,1.1164138357631552,1.1227527983845782,1.1699620125953558,1.2695573478609559,1.0709127448181508,1.0868815087578771,1.2143678061902325,1.4191651990491672,1.364602996792076,1.1649296288669824,1.0907957521704652,1.062014461934507,1.1968093623393694,1.0650468126591748,1.127869219039446,1.1458505639077634,1.118407829287745,0.9688728082049697,0.9795140022531943,0.9807830979367225,1.4911655024160337,1.1159136868813395,1.3522584224588388,1.984629062487272,1.0668541197756478,1.2629799054346025,1.4370426198477462,1.1334401929750055,2.3014361544164754,2.645457703833419,1.7408204941207945,2.1964075706694786,2.250573356507634,4.0814665031093105],[2.2024746016452843,1.116917474061662,0.7702865733539981,0.4769768450429267,0.5169532493262474,0.48903310480334855,0.37461232947914114,0.43295541063226795,0.3926121732186297,0.3864033074549474,0.44824913653049886,0.5702674277344042,0.48805248246266086,0.49982394952826137,0.7168718871138022,0.6481158207667999,0.6563240599908997,0.7634924532711909,0.8585439717805848,0.8101636657307858,0.9144245601752662,0.8737451475835329,1.0799265207374389,1.2198865304699653,0.8392358466671167,0.8486495458507233,0.7444596555283193,0.6559657353554981,0.6545781974069578,0.6435934784960793,0.7733025580630378,0.687375895929504,0.8199411350043132,0.8325231672906045,0.7281902024720003,0.7141710025652434,0.6711429781717928,0.6707640347414061,0.6128698415660704,0.6130967911431418,0.7397072499115451,0.7988181862710808,0.8058323491860205,0.8472614528121737,1.2802542241121384,1.5470579694669495,1.5458490904197628,1.0549243931825534,2.2145847252729616,1.800806353633181,1.1803293436036302,1.344068838530631,1.1125011403734382,0.9386869756583197,1.164140061623955,0.8399118698297887,0.8198338709790496,0.8526524832642255,0.9746842901139215,1.088535920762281,0.9457644630271538,1.028110270177728,0.9952468896401319,1.2997521004883914,0.9744647840955233,0.8919590804288623,1.1694072954308579,1.006413418316226,1.1821526148952521,1.02679446361107,1.269000091528311,1.6896152414675143,1.2231037553204318,1.3307648056083523,1.005975298424179,1.4196548073074828,0.9613241355004938,0.9316298099577617,0.8468204486584068,0.8218779449255083,0.7932002624181214,0.7288138898483908,0.8521990513911627,0.7534120614619105,0.5864155980732575,0.6283867969906054,0.6792440867984905,0.7536185840989106,0.7543843551076062,0.862914715205528,0.905772309792747,0.9775545220193343,0.9040466378375676,0.8411570470525234,0.781677069841824,0.8606955912317783,0.8945511109591622,0.7187428167134258,0.6697622302343593,0.9306788036090454,0.6972284704271472,0.7923351083698202,0.6661801696736315,0.6798522377157066,0.6362705743081657,0.5620612737458969,0.8931122636144073,0.6480509294522924,0.6292465386190182,0.7385251584151672,0.5559602852235938,0.44190372626420743,0.39971028298650185,0.4244815850717513,0.4642449562839423,0.4958296384788911,0.6420468620735226,0.7296280114555871,0.8967327747444392,0.9000514088290175,0.770091856623444,0.6686502133049319,0.6118439923820381,0.4161118566382446,0.3915115616666563,0.39968898297707467,0.5283977476490936,0.426161329391747,0.4536379669272986,0.5372480400417238,0.6802546237284913,0.6712374476938722,0.5132599745805243,0.775604887429449,0.48946839179252083,0.49805800415013995,0.6518593203829813,0.5773073504585997,1.0979312663038339,0.5388335135735673,1.6000951059801858,1.06604522213683,0.694883783908854,0.6515847430458488,0.5825098158127126,0.5751253939256393,0.5022022245078807,0.48888356934410465,0.49055312141164903,0.4795367813697233,0.5774314880674993,0.6473131466249156,1.1288975576042684,1.635507067411014,1.117446897214829,0.8504310494007651,0.6208781877168185,0.6291813889898114,0.5772670810364283,0.5516721474395425,0.49725626853357047,0.5368058831423159,0.5034566102131836,0.5369410942069007,0.5463152850951579,0.6554609945718696,0.5773386399480115,0.6589514568905003,0.6542672550091265,0.7175284994365033,0.5765180778242984,0.5497590477881926,0.5050616577308228,0.5174567638596765,0.5373028633163216,0.583391335648766,0.6198172084381262,0.8575998989614514,0.639634869743182,0.6723651378205624,0.5461966058311513,0.5316285719009545,0.5489084230614597,0.5558521955162331,0.6110581219808547,0.6237609520781415,0.6099646176670851,1.155613906661118,1.5011132340986149,1.0329496678853232,1.3095522765729002,1.2991756403363324,0.8363320140299871,0.7749356618174036,0.6681126096056181,0.714956806116184,0.862721441733387,0.799047597121259,0.7375480126293131,1.0878585274032762,1.142519588697956,1.3808626709100862,1.071026768731295,0.9900543386344591,1.3852758881553444,1.392593932860614,1.093729519722184,1.2372163639004732,1.7467131168658425,1.3614886818512886,1.275354157020795,1.6260655460137121,1.7368316902652483,1.357712782202738,1.5260738947241568,1.301531863817489,1.7673912915701153,1.162543575362224,1.2534225697841175,1.5388578913603552,1.4460440653486282,2.4469173048405946,1.8396121550693325,2.433244784294305,1.8653115906462456,1.9193088048270042,1.893001805565352,1.7951369205100187,1.565962025898148,1.3148212790385447,1.4136454281293598,1.1966953973548962,1.1743054336908219,1.0055843358279002,1.1942099442533523,0.889294569875572,0.8957406445302819,0.9015705501292315,0.8122241698710086,1.1411141665585898,1.335211936302387,1.6149947526208934,1.866713811717658,2.2738036525753653,2.221600477582431,1.8473757875545205,2.1082734405256858,2.3757620463136218,2.074669170461938,1.9901486610557892,2.4520609104323956,2.5248386077770166,2.133856997683781,2.354886311710307,2.6655122190043175,2.468702750045867,2.273649340913111,2.4463129267887065,2.103779586109679,2.170201868407639,2.0314043415277925,1.9769704459096977,1.8816270344053303,1.5596613512639779,1.5535291802380269,1.459843388121598,1.342120126536482,1.0735057777094537,1.170520705532119,1.136149666995793,0.9510110477576721,0.8918424337587114,0.9479687520679583,1.1974152516576635,1.0161858519770564,1.059480202373619,1.2473490015335578,1.4476474679288265,1.3556625954967871,1.1727309872663032,0.9905649755440379,0.9629656617043256,1.2177713565275414,1.0670746380060443,1.1611381116499928,1.0904893180850088,0.9016925182941856,0.6740314387162689,0.5797141825893939,0.5767165180254649,1.2088595691375525,0.6593168432846339,0.9787486654490238,1.8078390882694322,0.6541568681512815,1.0266388763177066,1.1828261787831706,0.675878557954255,2.1130769014386406,2.339759904807583,1.4992139117814767,1.9492796356274154,1.8645078923175136,3.5748986339076936],[2.1360454389971806,1.0548738749032183,0.6878668233158252,0.38968503479727634,0.4412365762753061,0.43566282396344097,0.33900513498375245,0.4010258229464797,0.36090243174256936,0.34354247543713196,0.404159422858955,0.5347842750089671,0.44351075309242055,0.4569418163112623,0.672088941703676,0.6163585768956462,0.6361748425377076,0.7636191674558073,0.886083658189717,0.8317604291507718,0.9533449016711056,0.9165497116619684,1.152044502972038,1.3263928297303302,0.8936460325920079,0.9003936664495095,0.7798466400357452,0.672222059483092,0.654225630861208,0.6214774630231978,0.7528810394347539,0.6779384400940975,0.8354399886450676,0.8356024598088054,0.7172323819039986,0.7076661765943781,0.6641301468214864,0.6763568958792093,0.6283889126612249,0.6228294918748286,0.7690918543539271,0.8163756639851045,0.820502252347421,0.8934317580677205,1.3415903327787617,1.55904253339092,1.6186732954847154,1.1431322253930418,2.1875737637029338,1.7645519801602612,1.211366405720058,1.352789945074421,1.0630938647214838,0.9668313617766369,1.1217287682066217,0.833504765850691,0.8372340851990058,0.8662203253623839,0.996130707414138,1.131768078052687,0.9961819005945444,1.0554858839705552,1.020719920254489,1.3170969568405673,1.0233321291161577,0.9246713297541826,1.177463946323602,1.011882324484332,1.2090349582875204,1.0272685474680543,1.2700711598929557,1.7105052699186247,1.2245944849887016,1.3844744614728002,1.0203985832374196,1.4588699509928675,0.9779961904205496,0.938611497660177,0.850433250924058,0.821836771271959,0.7776352280759035,0.7160699502789132,0.8331851485125565,0.7143131901826439,0.58367078859753,0.613347240714247,0.6817851492947563,0.7435436739400559,0.7549230613563871,0.8748510495740266,0.9013585650464457,0.9650166000117046,0.8941765480262223,0.8442265484320416,0.7648846404955698,0.8422780016007022,0.8264944266939326,0.7005292505176562,0.6497056960877984,0.9680496764565336,0.6863697574844086,0.7823076823877326,0.6537403694092017,0.6439374667651512,0.593945195134039,0.5244568165391492,0.8511010167205989,0.5928685642257879,0.5816251672141302,0.7144582899732196,0.5074081500725772,0.4025500652200095,0.3656896087361617,0.4077368637629743,0.44795863497255545,0.5059397673742024,0.6632783688735445,0.7866877247348985,0.9539730744634685,0.9100274974349954,0.7919331022306404,0.6803611287578242,0.6473961324102033,0.41527684502998125,0.358048762238379,0.3759242705512305,0.49620694565391266,0.39200775269064947,0.4022831458067234,0.4899362977553077,0.6495661302675317,0.6224204310415925,0.4676483778002848,0.7391661628643175,0.458757068423634,0.47602021185573423,0.6033110469170201,0.5796802549228923,1.0721146340025591,0.5743134188960157,1.6394946744360583,1.1516089179241362,0.7738034325943108,0.7023017393447694,0.612279112067247,0.5851131987551283,0.5053234308897627,0.4804015691845408,0.4543602713328273,0.4319560325305906,0.5434358446241208,0.6503704919578402,1.144021260391954,1.6977246676906868,1.2001363537450231,0.869435317770934,0.6026413426531086,0.6114012889788901,0.5532813074609633,0.5147890333708329,0.48729056759199907,0.5364334485686333,0.5221766868710419,0.5398757396664756,0.5773382007364155,0.6828259068539081,0.5947525054339298,0.7007487325205518,0.6726449045654728,0.7331766549607336,0.5735390621226718,0.549977749712273,0.5117748187972099,0.5010749479533622,0.5134573606156784,0.547637856195822,0.599551814860864,0.8333461241206567,0.6248417368661517,0.6415760985880955,0.5293391822901954,0.49788081664103534,0.5113800427592963,0.5318510269723399,0.594100013117572,0.6137560644547756,0.6070037050696593,1.156796252219677,1.5128882090197693,1.0304172498759117,1.3379672558841567,1.342582453533061,0.8657340370289148,0.7825629290819669,0.649559568233556,0.691747826720505,0.8627120577476454,0.7555156267812617,0.6811160844868883,1.0802028751656374,1.0958298128925426,1.3592507965564857,1.055900450534558,0.9468703292653728,1.34148917130019,1.3739063846629633,1.0613588911307883,1.1839133065534448,1.7130536279421416,1.3386059915079624,1.2248896951933934,1.5792187461642453,1.7169409291061004,1.3180475099375484,1.4685777448481918,1.2241514719518878,1.7011424664788979,1.075254057750495,1.173963929891431,1.4594871105726752,1.3650562123852987,2.362124647226681,1.7477178509851186,2.358340702877937,1.7935410962115512,1.848564637145715,1.8303895237668613,1.7176716154213671,1.4760541609270068,1.2362153960804239,1.342936537903342,1.0999906946729703,1.0820871622386212,0.9214149775354922,1.1340356316649447,0.8159391373948319,0.8119113007083569,0.8615092989323937,0.7378031359574931,1.0903052346299655,1.2844873820466376,1.5716769208028514,1.8449821944023688,2.2474367756634077,2.213673193771986,1.8254423649870604,2.0785810861272407,2.3602227736169823,2.0711490657025577,1.9684969695668069,2.4327446311104146,2.516773095089559,2.118463565323894,2.324653224202875,2.6431429933270962,2.4531307882014586,2.2389142225638556,2.4029151744311745,2.052935390469999,2.1178272933533595,1.986724016856,1.917048136074105,1.8090484059693122,1.4973759343076454,1.4859824962090993,1.3733730234733375,1.2581954587818955,0.988901861653689,1.0701798837932426,1.0386620547908132,0.862978876039051,0.7990214316186893,0.8482799847536935,1.1146631646627383,0.9417392345172154,0.9870117832227762,1.219507513024149,1.4215709011523616,1.2864917980879027,1.0924484175570528,0.9113929976450967,0.8880946073961644,1.1267041708630927,0.9934221706846766,1.1118282933803285,1.0437477364638754,0.8395842884328735,0.6321718143421986,0.5233409424133737,0.5384364965970982,1.216638786915474,0.6311101006138105,0.9594768433091566,1.79466619627965,0.6365161580466807,1.0200672103075015,1.1897099701587712,0.672223908878222,2.1434669774380555,2.3513167512875235,1.5235615023045657,1.9335970465182255,1.846999685311191,3.7446113401076184],[2.06522040880199,1.0307736375242822,0.669246199832434,0.425141524785918,0.4929818149828764,0.41269887492772733,0.3343723498251164,0.37575043380101697,0.33658219236649145,0.33397690848447764,0.4021795427382225,0.5220489885998103,0.4244524109575093,0.4517792381142896,0.6429578219966046,0.5803032786459066,0.6251501510086321,0.718695059210755,0.8357350442650833,0.7794179304112686,0.8820762349002093,0.8507838992486855,1.071074234916758,1.2327584466637354,0.836257573698579,0.8412695716015727,0.7188241210380836,0.6298202220584663,0.6122817674367972,0.5869462149651069,0.7131329905721783,0.625615570451945,0.7690990499681997,0.7706881052924046,0.661934934177895,0.6549016886440121,0.6035264379768821,0.6177937866857223,0.577398098308986,0.5629472272806303,0.7110557946241302,0.7694775745963215,0.7597284078409821,0.8466444264383902,1.301047398180843,1.5570862418854146,1.6262128917286098,1.0851810889536408,2.1918623391084653,1.8239133394824976,1.1491618804377322,1.3582981045867786,1.0371379041505349,0.9384591798904104,1.082232032708793,0.7769772380093478,0.7809072051278693,0.8057652600198749,0.9295113410923338,1.0903918416760647,0.9260775454474176,0.972615973723267,0.9380064359164378,1.2255743172680678,0.9436353179959557,0.8507717152802207,1.1140594899469458,0.9520841349759437,1.1535661453423183,0.9732456738716359,1.228807184299019,1.6209491840861945,1.1593724526887983,1.3357123799523294,0.948614573117738,1.3703786199431758,0.9007548387358655,0.8616984626606241,0.7774010792897836,0.7509275618481512,0.7174614946406065,0.6724410433810288,0.8186678478627483,0.6652474168997474,0.5239724939186747,0.5653196775353616,0.6210941146592451,0.6913056435206629,0.6928357256830642,0.8049090639048934,0.8357922718227538,0.907840365295396,0.8281987589786078,0.7791068386128344,0.7121591773133652,0.7873645955641171,0.7987935019846355,0.6534787793672275,0.6077326639468408,0.8971351743715527,0.6290229588576731,0.7342904694127376,0.5923746583072275,0.6080138099042971,0.5542391583156838,0.4911646113407373,0.7985597063218584,0.545480299851592,0.5545511764230004,0.6787466970544085,0.4840183211277987,0.3742544441366246,0.34845604426388654,0.40114716420537944,0.45218867745751967,0.49363859428660684,0.6345806671401248,0.7494017337839511,0.8969983807654471,0.8643239089736712,0.7578012624703803,0.6594358120822309,0.6289013737586125,0.40569428468858326,0.36768500109193925,0.3815432992175629,0.47016636116688604,0.39134251824783983,0.3846113740600049,0.4639110151404914,0.6370457828289648,0.5998283527509294,0.45649803228430536,0.6887575201909714,0.4546809374805347,0.47340092710614096,0.6420728722221197,0.5278690359907169,1.0501403359010595,0.557751093166405,1.584607866431666,1.156978135097321,0.7308776229107109,0.666757834915248,0.5747827651996315,0.5503330306066896,0.4820328383898155,0.45490702451429155,0.43077931666337055,0.4297280435120427,0.5292732102939245,0.6261618817336433,1.0853042021797008,1.629453722135537,1.1390131676717539,0.8123456431649425,0.5661047804797724,0.5746417456006134,0.5070539589224813,0.4770161477026484,0.4462236570001572,0.4971819834578127,0.4840051308088055,0.5011432607504503,0.5218490609387592,0.670969528241796,0.5762873069472826,0.7086606591794398,0.6779363010525438,0.7273436241088308,0.5607441052399779,0.5190809463435913,0.47579973499792755,0.4682817483480455,0.47216300031392283,0.5037043778076561,0.5579323050556733,0.791856255148891,0.5726497977685283,0.5929712976108771,0.48467599515016313,0.45749812591415095,0.47809039347861376,0.5133994963955383,0.575977992445364,0.615123767348084,0.5771721336282493,1.1443451078684919,1.4989309571632858,1.0447133283579162,1.3489485324975719,1.3272960527397224,0.8926101888170986,0.8162566482090606,0.6644252995966371,0.7178792356608646,0.8710950229380013,0.7532060629214108,0.6847615677215286,1.0812291607893516,1.0494166257300934,1.3093510902756977,1.0337148262171474,0.9166964754343575,1.2852256567739713,1.3380459517502186,1.0457270249686166,1.1394095989715924,1.6615599982083835,1.3169502307210712,1.1925792988729889,1.5377834052607464,1.6934696697410232,1.3006508304098698,1.4395854611700312,1.1888470475753958,1.6530443716225753,1.0456707787729775,1.1327868303431397,1.4015190242733302,1.3033373866153428,2.2646863864552698,1.658515747889804,2.251639002042085,1.6976489492553526,1.7303436915118204,1.7230885718937314,1.5836785052300897,1.3736773820785273,1.1575517114498661,1.2549127511399236,1.0194029713712665,1.038694927703763,0.8748980672886332,1.0647243734479142,0.833660604129752,0.8039728453325391,0.8762639578414965,0.7137900105416887,1.0407645508295151,1.2050485572400218,1.491864618312509,1.7498139433694833,2.146324760598866,2.117585883441356,1.7573892664411435,1.9868019439683922,2.266801361487599,2.0039189246066202,1.8959684275474689,2.3454707535806008,2.4428698979698615,2.065722653022793,2.250128193122942,2.5662712243387875,2.3998984928164493,2.181728538149083,2.3296151333969406,1.9813361181935263,2.027920292335284,1.8978292670617851,1.8133395828575678,1.7171640313355538,1.4317506375339737,1.4046351523265563,1.2985505231810668,1.1983497211318113,0.9382976507618424,1.0009673433293733,1.0061043259581348,0.837805189509622,0.7774887012410792,0.8304156333244195,1.1254385438726526,0.952139939397857,0.9962762192594385,1.242413316510835,1.4278640862400114,1.2868670486385216,1.0906401090638798,0.8938762975979726,0.8656239758432,1.1173824122138885,1.0037714701484082,1.134367752016967,1.0571922443105413,0.8457280577875851,0.6512775821025412,0.5183960535448897,0.5494544332100876,1.199948975010684,0.6332986422817054,0.9554974450072269,1.8918983245771812,0.6804228787571288,1.0606287267334262,1.2294961312478487,0.6566348340233228,2.0944003983709965,2.2166494298197805,1.5149562764944504,1.9294162896367806,1.7557068296376677,3.4735918945374418],[1.9402258374492227,0.9779445733029114,0.664689015281935,0.478694190069705,0.5626618969982752,0.44458406939573575,0.381062981882954,0.4146787355471583,0.38115419115544424,0.3707218331870513,0.4237008517408602,0.5400420735936217,0.4344372517014701,0.457548649967639,0.6243801243877494,0.558784842533622,0.5821089040144536,0.6634715988859142,0.7681176973421082,0.7213543152586883,0.8052093462206799,0.777948539600945,0.9814330453113268,1.1444959001949964,0.7853303291351642,0.7829843829740739,0.668843909850564,0.5931148745233124,0.5707284193825374,0.5489904614414991,0.6784632239388261,0.6021238163231559,0.7233067785416188,0.7318035080500782,0.6289127837812236,0.6173610474545701,0.5639023711766638,0.5689286763244855,0.5330193089006063,0.5148494163270549,0.6544992835811793,0.7217534686714019,0.7041223701382087,0.7942030184115952,1.2744113199457925,1.5666530266614305,1.650659904041586,1.0311232208761627,2.203775930883509,1.8857120800813778,1.0899225275012725,1.390641277416691,1.0060425472281203,0.8931776791693381,1.0386443025066676,0.7243395555844917,0.7149671896534818,0.7454873035637047,0.8899513880416563,1.0169228043720828,0.8523702490841555,0.900012888244037,0.8730713381131137,1.1401960458489186,0.8633068176550298,0.7890349383774016,1.0413953622567584,0.8840354693021012,1.092275349559173,0.9176136867546815,1.1552041395266206,1.5348084518205107,1.0973363921434325,1.2800876620018249,0.8875250971654369,1.3111046835248703,0.8456347590636689,0.8113922170352781,0.7259971134583484,0.6999969972600538,0.6751362427076631,0.6304024358964837,0.802840809194375,0.6605414438747486,0.5045393319089166,0.5309524773292926,0.571393831305603,0.653318875324543,0.645453418590862,0.7586154967476036,0.7934653716456449,0.8669107793248237,0.7893863527208964,0.7424261111757725,0.6823178591146256,0.7592521795511338,0.7835279852350939,0.6240203679249778,0.5866851344157615,0.8529447878730816,0.6103345562052933,0.709866441240689,0.5663611927965053,0.601408239934917,0.5595295903380371,0.5188336516026766,0.8226102190479635,0.6068876265335532,0.6307884808805779,0.704556544588246,0.5600770983368617,0.4274946734434704,0.38677928484467083,0.4152798604682521,0.44319677419137077,0.4823049042551785,0.6071913789077232,0.7365882882558263,0.8373581423172458,0.8031093754069693,0.6993287488352774,0.6134697205426254,0.5978811786044061,0.42597095206342,0.40172710469214046,0.4105077927546159,0.4772944230365541,0.4391063326214673,0.4495285207183899,0.5183883574279425,0.6395500570504407,0.6360582338435475,0.5054912253793173,0.7348339349607472,0.48653164496240836,0.508259255772334,0.7129363335402229,0.5102335524005412,1.038589091009342,0.5408266142573444,1.4882614113099497,1.121780252610766,0.6856359342157571,0.6110411892428352,0.5371721267295576,0.5244660268491251,0.45964031686062384,0.4528808615908389,0.4390028363775055,0.4431503105313417,0.5348768407701753,0.598374675141392,1.0312991257668362,1.4996841995036359,1.0528767567442534,0.7588173606331092,0.5488117866999647,0.5647984829685311,0.49782326638457275,0.486115175704828,0.45446087998492884,0.49139011103772046,0.4625198161738959,0.4766241463828281,0.5084108598024137,0.6642666738475033,0.5781465653866028,0.7197718510326233,0.7121963352407332,0.7505900449020694,0.5749267644172606,0.5271537601431073,0.48633287450788154,0.4754455717980497,0.47247731816035726,0.5020998420569097,0.5348231096642327,0.7649422424634245,0.5502389041634308,0.5956867133911486,0.4699333025024036,0.4796095228521287,0.5059133480932203,0.5298858041781588,0.5892383662190157,0.6129460172744754,0.577254610438443,1.1397753225917324,1.506389026702334,1.062867559017356,1.3466172546934774,1.2942354453300224,0.9129226032784825,0.8348504153371015,0.6814824481631427,0.7765879788666796,0.8906995280749754,0.8024348236644738,0.7513364569575308,1.0802565209237203,1.0570448289256247,1.298998774961502,1.0403122626203745,0.9426128197821613,1.2899894843647066,1.3407450012846267,1.078049742823297,1.1632157224591688,1.6572069877822158,1.3327265154556283,1.220288174367705,1.5471951606168257,1.6938524729056648,1.314212554307172,1.4588975566723035,1.212968583884991,1.6867954854878138,1.1164122750180698,1.177210739429429,1.437103175876963,1.3462677037354343,2.2336394142996494,1.6763865206117334,2.2389195383912055,1.671546608505584,1.7026026270255685,1.7008868114174236,1.5601883090550008,1.3763754243419104,1.1708143066341605,1.2660671021660037,1.061174146247319,1.0877185721389968,0.9383833987710412,1.101753737148774,0.9378376974523572,0.891302473343945,0.9348649229505447,0.7690417484480896,1.049439786342603,1.1975627869740129,1.475984316332595,1.7134962122208772,2.109143577165576,2.074554103226728,1.7440838473117033,1.9575795073826532,2.2184492528108963,1.9753951457690613,1.87559216451633,2.3096101687736517,2.4046868196995783,2.0456430449841863,2.223769092304655,2.5264882705659937,2.3669511900874767,2.1649590332375004,2.3163956840139486,1.9735596876513724,2.0120153826111506,1.8771470721061845,1.7946932399249735,1.7195475199318255,1.4428599156088253,1.4087586232041538,1.3239366188177892,1.233981118212841,0.9850440710015084,1.0457001559803583,1.0768027816517862,0.9055165937623152,0.8628252535532436,0.9178475401070698,1.2113861792820544,1.0402053844112469,1.0678441835641321,1.2956608713171989,1.4525757695122123,1.398937101075226,1.1560337912815806,0.9601660392419812,0.9240105181481694,1.1518637876042936,1.0537517447419378,1.183105138897864,1.093868321398655,0.8954271013898589,0.6902137778645885,0.5612333733754317,0.553990955984365,1.1929870456836573,0.7239268459901592,1.045486769299565,1.9911458024980462,0.7926616816508985,1.1639350772306212,1.3283391052442226,0.7099002322993256,2.0129532074852823,2.0662593913718323,1.4741500415755058,1.9214330215492637,1.7201669576381198,3.1775594217509715],[1.898562724541757,1.091107318343901,0.7727754373975475,0.606158356183757,0.7364620556053704,0.4661753935435574,0.40153352531291886,0.4126858307025809,0.34421866697141773,0.30949268828818977,0.37242375095389957,0.48430209900250515,0.3661760272619212,0.39331224588168273,0.558693293195464,0.48750947939671047,0.5184956024845734,0.5893579665500844,0.6877365215332963,0.6510161648834908,0.7173823506258905,0.6983917047205304,0.8878730698768342,1.07058196015113,0.720945795976233,0.7016136947359936,0.6107750538485774,0.5188198816463919,0.5054927432702003,0.48786082230650485,0.6074736673477381,0.5394364644673358,0.6747885687492189,0.6815469667640515,0.5593812789549689,0.5562026815536767,0.5107290993703961,0.5085959652720161,0.4822196624207435,0.4637012360641393,0.618156158082981,0.6521004094789942,0.6233803423894784,0.766566504555661,1.22251193197116,1.5396458278660339,1.6605229775210386,1.028650962308148,2.209418228196986,1.9286556693208459,1.0641714609212183,1.3949015203242094,0.9351302942841626,0.8848680413476919,0.980506789890934,0.6457146361323787,0.6817249866492273,0.6936529519018088,0.827642507677239,1.0150652309690382,0.7838202127512466,0.847013924787176,0.8326497456655896,1.0462751995716832,0.7865364108047408,0.7304796209491188,0.980935404897029,0.8024095837636522,0.9860280419688893,0.8345148322823115,1.0468824910502759,1.4009477014349285,1.0226153009382135,1.2228271171779759,0.8158290063162146,1.3191180313863131,0.7875307008448216,0.7441540928522836,0.6538597708230458,0.6305160257369653,0.6096159448976808,0.5737420107998477,0.781544831030955,0.5832322237177222,0.4538524283225922,0.4845231683622544,0.5146428820045439,0.5902739178530123,0.577670609453781,0.7120936961177156,0.7280984878580669,0.8135270787449167,0.7470876130375339,0.7090012305899664,0.6300759282470074,0.7359253297547675,0.7154309558020172,0.5755067008336893,0.5335673110195968,0.7793620258811523,0.5523538926330623,0.6889463387361663,0.5044499254792175,0.5785100362705271,0.5394051735490848,0.5471920096745431,0.7691726060087786,0.5986807834668632,0.6466043631535348,0.6874386357065468,0.5675069015511084,0.4244672930707786,0.38083537638831416,0.4073818205091319,0.4109915350711993,0.42636961342022006,0.5239524363001066,0.7465503266131849,0.7661849083432537,0.7039617230391643,0.619202388463891,0.5326680081392928,0.5576069862435264,0.3844263739656113,0.3824512450246211,0.42233978843603204,0.5177801615805979,0.4970302761759131,0.49496166147971304,0.5531360248453154,0.7350762042412102,0.7192294253050929,0.6115275661488168,0.705658638470819,0.5716305464009883,0.5793147158489027,0.793720911537997,0.5154870513276912,1.0093914131404176,0.4950573284108104,1.3659525176172302,1.0824446508463874,0.6716653131853642,0.5454476441975626,0.4711137994441042,0.46650977084721895,0.4102023938379047,0.4118915183870873,0.3990918711181073,0.4276990530494127,0.5586815434907717,0.5869786246988444,0.9667775017210408,1.4378387731378797,1.0150902901951542,0.7120071874192584,0.5108647769814622,0.5485939949262172,0.4417707798353898,0.46677821403406367,0.4154540633728572,0.4459350400217603,0.4158831385455785,0.4275271543046087,0.48052723604597014,0.6226625977451268,0.5452587815275275,0.7030050635647871,0.7041947550004192,0.7257952263717001,0.5722508809711917,0.48402935292084054,0.452773073395835,0.438653194196127,0.41876803000447965,0.45986629390257033,0.4919664886928964,0.7231565702777937,0.4941391393711882,0.542632498285061,0.42432809797214505,0.48276260284661815,0.5229877589950434,0.5524607922379591,0.6325586759615724,0.6127401130876448,0.5507154786686607,1.1218962291420589,1.5066783815983429,1.1013977854447223,1.406733162637978,1.3258586905113519,1.0202768850051223,0.9683445679002047,0.8056764063326641,0.9041030494558729,1.0265337581296228,0.8487208299414679,0.7976455045083289,1.117960353175892,0.9827767258224223,1.2230584023943254,1.0208483844983358,0.8756164986580413,1.1461934856880263,1.2395841110239698,1.032960434195321,1.0207388205238932,1.4741223056634731,1.2218006035695799,1.06761130787107,1.3344724654113174,1.529902015230973,1.20362634764073,1.236926954710354,1.0423348293499297,1.397158568433639,0.9940622295273164,0.9682935691680313,1.1758548897539398,1.1085705596107318,2.075359474564705,1.3673652853130214,1.8447609648346504,1.3876928049243173,1.41794209789819,1.4797942860508775,1.326190581688986,1.1367779021589244,0.9702107111241339,1.0720032726535689,0.8954121070350799,0.9477873118624937,0.8526014425967466,1.0629996928269019,0.9479035709714325,0.9201300383811604,0.9990844574108779,0.7602080970814059,0.9942936756541013,1.0895759699184582,1.3086995255538427,1.5649956875466975,1.881719822853672,1.9052095245952394,1.6041438162809998,1.742992750548292,2.0247343981268706,1.8424060184452844,1.6904676625204298,2.0753080281257725,2.197240036769031,1.8552181995048165,1.9631258604319493,2.2589947758259084,2.14744303114525,1.8983014904852036,2.002580461348477,1.685952350741192,1.7117763913162016,1.6312413485665898,1.5054082412855279,1.4190639449178022,1.2288268818682906,1.1798386710560893,1.0734482171314568,1.0086555380994606,0.8447941740865751,0.8570878522213699,0.9269658651292217,0.8346130556960736,0.8450600656504968,0.8560929240902837,1.1818380636042247,1.0357293965635697,1.0614299807097844,1.3536214444350911,1.4930915575986579,1.33940930466496,1.1434209730399563,0.9053766289690566,0.857288211274758,1.1407790250211944,1.057000215904487,1.228050714112694,1.0965004532105842,0.8968536875369254,0.7760432844280559,0.6605993937416604,0.685963195922861,1.174433131191908,0.8179224762477569,1.0301705210991556,2.148315964890316,0.9419250545661262,1.2510054293675996,1.3778297016041114,0.7461331450100632,2.1265000314786366,2.0367420793793607,1.3205865268685748,1.952079893925117,1.7677803311617042,3.1933592119494363],[1.8538840498541496,0.9872478015609137,0.7496225919615562,0.6036764296222134,0.5037681838947918,0.6335527073229793,0.5814040992186076,0.5128276989155708,0.5890224009774194,0.6806183330215668,0.7042702861458864,0.6159487388715305,0.6728477929342909,0.8079898060952369,0.8726215075829515,0.7673918152824816,0.8321303631609425,0.9278169867771123,1.0509534678734347,0.9857329944179192,1.050042071686739,1.026327285495116,1.1685220403506582,1.380618199195168,1.0756314607260784,1.0672983806840062,0.994367852910872,0.9051958987167649,0.8623565857724039,0.774418770338508,0.8328145212177225,0.7261202592229835,0.7927948863457318,0.8235226661559915,0.769599008732601,0.8207794812574862,0.7393680221951494,0.8313149826639503,0.8472635497209267,0.8023205871480994,1.03519252588457,1.0025019112889106,0.9236439741074381,1.1734156416915522,1.3933103348111848,1.8142990304348618,1.8465142200611133,1.3996757051622006,2.656547575198031,2.376787141406809,1.340411456532578,1.761526074829546,1.0362233818920221,1.0855488535455444,1.0639460745170546,0.8704502800649688,1.0233812871168524,0.905483476100001,1.0013285533106833,1.219483156758391,1.0404556898593773,1.0777594842937994,1.0584335607797606,1.1799354146525036,1.035351530950313,1.019616182559781,1.2457418410260177,1.0613152974995725,1.194284244063201,1.1154323887480133,1.2572647442465261,1.5781826159443677,1.2682922698708754,1.4065216465516517,1.0515396943271669,1.4839937689378055,1.0131322857075955,0.917134098348449,0.8640662589138808,0.8636529285007435,0.7963278541805937,0.7753498113400653,0.8971705758182668,0.7153179116838927,0.7081169953639399,0.7465416497435842,0.8068948782555753,0.7869820455267235,0.8446347101369731,0.8904111652254586,0.9102856893325116,0.95664196986502,0.9093775834673621,0.8632797302141755,0.8255058772760334,0.905975164249505,0.91251841543461,0.7207878584520765,0.6625321418264523,0.809652846845336,0.6680450061802602,0.7264637820776552,0.6150597929264918,0.6202723173484707,0.6006927488969084,0.5618778562267358,0.8324036268026,0.6243835994208111,0.6250496831881275,0.7220302774829686,0.5851705292887039,0.5646208342627825,0.5697930098686653,0.6624444827338773,0.7325024104707261,0.85987967108622,0.8892799937906625,1.363164090740316,1.1540878075874117,1.0207080883516084,1.024547482320496,0.9070860622927864,1.069421065955637,0.905426926922355,0.7478605590773796,0.7167899189919903,0.6038343195531253,0.5546184918455643,0.5530441673186858,0.5788264171792608,0.6802927269600848,0.6788432805364403,0.5572955815816094,0.7229027839866977,0.5532985985451155,0.5761697968686794,0.6666298321140949,0.7837547808156953,1.585960514794759,1.0151078507673446,1.1072087951747815,1.1149424932762495,1.1304858598240686,0.86696083662982,0.8476251468121901,0.822591643995251,0.7861523364038353,0.6842783000325068,0.5849603498261706,0.5541249279924605,0.5497899121291818,0.6278677334761054,0.9658724424240511,1.357330693709949,0.9790217224276976,0.7453508747938391,0.5818765042073802,0.5786000655520783,0.5873685988162167,0.5676306758336596,0.6533171282688002,0.741083690810848,0.848349457086109,0.8124764692822692,0.9518712118110277,1.014041002300133,0.8899971157567139,1.064475671794708,1.043816199533648,1.0521770700748758,0.8534761492435247,0.9099538757942123,0.7792553076094088,0.6758058483568502,0.6401435945142263,0.6110571061915123,0.6806837235826227,0.8189726459967325,0.6688339759960725,0.638324780987252,0.6600682086254958,0.5671663620166115,0.6008654353304612,0.6302558424605635,0.6862718224915754,0.7475540658315617,0.8423426560943704,1.0580658661192024,1.4739090465193792,1.1609542930038883,1.3641950128137497,1.411664852029089,1.0518246654908128,0.9358369055217941,0.7656141040810985,0.8263802488662836,0.9057516436147802,0.8780047413966857,0.824395214052834,1.1786803218274045,1.0603670639790723,1.2511490730719854,1.0576765264961199,0.9673483031977577,1.230494809492376,1.3016659285503047,1.0889654195639515,1.1227161236001935,1.5413259714274234,1.296096163917027,1.1724630516501753,1.4235869797502043,1.5968733795676393,1.2642574518617036,1.3563211291842272,1.166191445793421,1.529926554959055,1.095263085163496,1.116746773277246,1.3101284431417344,1.2407589509160397,2.0224915391817366,1.5171520839295893,1.9953508308114323,1.5147843569159032,1.5164304634836294,1.5495401756303353,1.391427961615543,1.2521440986253265,1.0796263075192767,1.1684783417618811,1.0004012523196142,1.0748342657039254,0.9301582871243115,1.0491585705687394,1.0203660632436178,0.9537941588844241,1.0055658165505037,0.8442884835363266,1.1066569583157166,1.1615273193222837,1.367739243856088,1.5704204848090362,1.914727025008432,1.8914999607350114,1.6286193994283988,1.7765924200851062,2.021892310940447,1.8368260862626737,1.7282511019102142,2.0908636748374096,2.1996534744372798,1.891531284629423,2.001425852611647,2.268708887235509,2.1645960136523894,1.9499540656543743,2.0535820739338617,1.7632647787801587,1.783196413243928,1.6942931191431247,1.5920150894681557,1.5141043111173438,1.3229243740402719,1.2834584383188405,1.2014673351394354,1.141542106046933,0.9572591174193141,0.9837056887638284,1.0565552603471222,0.9410360825246612,0.934719973293293,0.9678732461563082,1.2968174069785816,1.1419547675022543,1.1736368149746566,1.3847401994197377,1.5228576693597355,1.4146929803475237,1.2150863163722785,0.993162653795104,0.970133221668034,1.1999691917850464,1.1467623140553544,1.271798085165219,1.2441606094109714,0.9854223611395361,0.7404065355793729,0.6347597085454021,0.6080237027051985,1.2414391390063073,0.7590866286439827,1.0716588843581132,1.9688421303814352,0.874815070826594,1.2239121418813739,1.3733892355794048,0.75013747764869,1.6999566128646473,1.7053110238625575,1.4383266055726764,1.9858426989932523,1.5401074587682988,2.687073109981327],[1.8436069535531332,1.1991508712001842,1.2128081477973514,1.388809293760893,1.3046066502321532,1.6453863304754104,1.7780105112654134,1.7276355765671219,1.8905416116670415,2.091299128625468,2.1411094596071947,1.952328052412087,2.129033480902243,2.2825010128086802,2.3603602453664467,2.2578886151924284,2.303977155260886,2.4103212339999653,2.498589286108138,2.4391913552282958,2.487476540163456,2.4681923802911574,2.515084119063683,2.6434029819160707,2.465244253999875,2.4617825012241976,2.417430108249078,2.3511929371626725,2.3548708473687587,2.257387885493873,2.3203424097490664,2.1826186172251494,2.187670611861131,2.2767606315884583,2.2590343331703706,2.3316798362982505,2.2211886517731982,2.3090351086003915,2.305338181756031,2.2544501929340304,2.4249025759806186,2.436244636583078,2.3804020069828735,2.534629397093884,2.603220169155099,2.8970924992958453,2.9280667539092313,2.6996091243507387,3.670459102127785,3.400051548479664,2.5737381104469828,3.001880403499102,2.2359434366035242,2.417579269659981,2.3027787059084552,2.3374467905195715,2.4707117961413836,2.3443740943931006,2.398094730764132,2.548964931603798,2.4604114922660076,2.513100091665431,2.510089575128631,2.5154603584533857,2.4717441343271864,2.5009271398026875,2.6077233570256677,2.4911109995508864,2.524531862881517,2.5210619027560077,2.55858079015316,2.73287540434629,2.598704814780274,2.6794289224661645,2.4890453189038544,2.758739308878695,2.4867458548510393,2.3995963402543263,2.3651346778232907,2.363007641352141,2.2738190605663253,2.2430807056227215,2.1748992977515584,2.066959865942287,2.1531878316668926,2.2149533639811945,2.304591763360779,2.2582297095917974,2.3554732208629545,2.3547606040149573,2.3695908510942445,2.351681540932195,2.3592738246669227,2.3279373176251004,2.301331544784275,2.331634834008084,2.318274828141272,2.1397303427848366,2.01496665702109,1.9161068329673834,1.9754286772186271,1.8076283493042364,1.938597828633832,1.7786330105902208,1.7902866348004378,1.7092381963808891,1.7730135921653503,1.6206443217432465,1.5506151161953936,1.717795993943711,1.6346112238063177,1.7895150565358338,1.8478001015546919,1.9591625960851904,2.1280551332987336,2.2209385811824354,2.2756989194767714,2.66915458578626,2.549982162399654,2.408616903830096,2.4342769617543882,2.3130447696474308,2.3895107849518156,2.2328520925557007,2.0296506218755175,1.9341377903791597,1.6955206437913195,1.708267889810557,1.6654036176176907,1.6760269106507268,1.5581075120531578,1.5378076252760857,1.553561991350658,1.7418933748922794,1.6461565050750513,1.719321423925824,1.5433268353499316,1.9162866368514284,2.655334264459904,2.3120871858759418,1.868935064402104,2.0987158224938653,2.4331054316998157,2.1932829941484426,2.246141908399628,2.251658005406379,2.1854723287685554,2.082731282113179,1.9411034077570954,1.8784073979846478,1.6839879197674994,1.7641006278490845,1.8347363419788398,2.035485166040886,2.061271932069232,1.8358573209034106,1.8481041927223028,1.7608035364232555,1.959957794202894,1.841814546515304,1.9861950155169796,2.1598102287498238,2.2047931433715737,2.214455749770613,2.2646394588074816,2.1936555912457663,2.11060218428582,2.193055396820742,2.129710799915656,2.1333171321648203,2.01061730984125,2.1167409287928822,2.0763586926045154,2.014841236778193,2.02547830767548,1.9599819959292657,2.0537960467820344,2.018418789038711,2.0574940698149518,1.938000312340631,2.0229102107195227,1.8206693418940314,1.8038034997151275,1.8282218694571253,1.855743878862455,2.006530309347991,2.175269542339638,2.0587191648981182,2.3618375878253834,2.1385841319820202,2.232783133396781,2.392711711736291,1.9845410312835652,1.8102868913340708,1.6662926675360443,1.5644096923741746,1.5205454738646418,1.6141625808665447,1.5176649865909435,1.8301308374323764,1.6501711647671553,1.838695011869865,1.7360008887560352,1.5675328417266006,1.7215807993573562,1.849919472992472,1.6077474651995722,1.5725839241290323,1.9355104345895153,1.7897108643623014,1.5809684083938365,1.7539609987203593,1.9960183457091893,1.641458003372857,1.6229394601462162,1.4270720620130302,1.7211142858082693,1.276808637697617,1.4205156687417377,1.541701834249594,1.4753683482536006,1.9816207164164532,1.667452527786105,2.161844384064263,1.7750396849395231,1.7997668684580461,1.9035628904140853,1.7488218202657897,1.591178764694368,1.5433275344792174,1.6645667163731401,1.495334248185025,1.5337637333452998,1.4721118675666203,1.5123946348315682,1.5111003448744043,1.4241149904228816,1.577699533952335,1.4563760126770287,1.7409094454361473,1.7601344478621006,1.8640471329220736,2.075721372268515,2.31329256134554,2.3797590063170118,2.151449094684193,2.1762065669526094,2.4130886271074696,2.335229195211406,2.1858395467057967,2.462203564672935,2.595520255613106,2.3187301760687906,2.309757216702929,2.5394701151944816,2.495772531011748,2.219596983580032,2.260891559132082,2.008830332054963,2.043214344385298,2.0325364440678513,1.896132200897444,1.754914533185239,1.6769104303246347,1.6612402390326952,1.507963421299767,1.4617735556620168,1.3978478714718796,1.3557775883751821,1.3596120506356493,1.2998469466016753,1.389780415145711,1.3148661745469188,1.5858101928738038,1.4424365952083489,1.4624209878451928,1.5919076421558322,1.6815813543870919,1.5018226502776328,1.3833557741841416,1.3327573900069665,1.4207542265639437,1.422112384122631,1.4759124884302608,1.5310961242751155,1.6516950634353076,1.4822651307549086,1.4250546884931816,1.4064495029165087,1.4629469983111556,1.9364661085286374,1.4460405129457303,1.6299911242826182,2.081209361609504,1.4851190937748024,1.597745933236461,1.828031575949347,1.685086372581663,1.7539689798004456,1.834005072348733,2.1998562662791663,2.5032382553838954,1.3215161486473137,2.320256173110944],[1.5463092635179523,0.8386560680212338,0.6509218187298104,0.5002893776988474,0.6476392509993104,0.48666077744368874,0.41049457134428885,0.45606981862777624,0.4321016640188313,0.39939122115856157,0.4674891812110748,0.5683172878586021,0.44511978764074045,0.44403742584600503,0.5678112406949637,0.506558515881759,0.5400131862724131,0.59439042524928,0.6755965308964491,0.6315442036538234,0.6997478543143798,0.6962525560121222,0.8478156257114106,1.0047245333360766,0.7524919708346234,0.7080234758473208,0.6092159474744152,0.518544800490003,0.5137855567628429,0.4704638296416644,0.6131247727001543,0.5549027633607476,0.6791457556172859,0.6452537875861283,0.5520222908317067,0.526899849806724,0.48785244828032276,0.4967144363129534,0.48275032697263065,0.46169429636650805,0.6370831841380963,0.6379817110630354,0.5915830188369327,0.8352429110278401,1.1948423343918528,1.6288093683225937,1.7643320230718174,1.0813508619098025,2.346150730974159,2.179603100042444,1.1183447319999669,1.5311770727180827,0.9054946634208066,0.895224417700014,0.8948523752354948,0.5686094184808134,0.678325046297807,0.6072581110476871,0.717923552183846,1.0403357204195567,0.7610823728393138,0.7640583942806701,0.7403620573040142,0.9347760709705956,0.735517885295833,0.6843463983621165,0.9179537543523986,0.765480198808985,0.9560803678243125,0.8270883005181877,0.9999446531431814,1.3036762801425021,1.0016701802236303,1.1799174253086182,0.7913918849892402,1.2966901764727838,0.7365911016345527,0.6967060980096765,0.5988532049605807,0.5641612580768541,0.5457347704921033,0.5138856273166269,0.7829197871305914,0.5342879119682257,0.4689448029392769,0.4599703035677724,0.4859496365285817,0.5619827030714396,0.5383175590248573,0.6662715479755209,0.6806399898159688,0.8663083522406592,0.7457238968370522,0.682878960515652,0.6308087477353572,0.7117473462017744,0.7139106843190927,0.5986996451910669,0.5913500362708335,0.7991541133708782,0.5872070431175145,0.7287295303705863,0.5296425679702604,0.5937050295523041,0.5415061532221835,0.583666399605941,0.7745015945250849,0.6027819405194971,0.6332092005169945,0.711025582043695,0.5609204760032864,0.4171420111533829,0.4050000493299955,0.4283799964600462,0.44344172435333584,0.47321792695494297,0.5561076972157669,0.9305902554243213,0.8257964140251333,0.7164128307728223,0.6764869041700402,0.5746654272383365,0.6458495488017819,0.442425083629009,0.4140533029138984,0.42511735812555823,0.46681637837750384,0.47330761187146214,0.4620899063657325,0.5136442855363954,0.7056979036185919,0.7302118992170082,0.614154589814996,0.6483089510703898,0.539160367994995,0.5896847072083595,0.7442597093083277,0.49680044399348106,1.1012367530155718,0.6140535272290235,1.1254996923600231,1.0532281947691817,0.7253208237561924,0.5538512505306403,0.49832826241318207,0.48903473817708465,0.44527253108549997,0.4459893829048561,0.4186711665816792,0.4845199288530823,0.5916442126836103,0.6099596998226637,0.9036827498050531,1.3030668572912598,0.9784855102266852,0.7117063447641976,0.553499602232352,0.5827201916660097,0.4793409198911525,0.49915682532902955,0.45142104061861765,0.45694557372875866,0.456283863191868,0.4496290078513067,0.5438332934058737,0.6550961262748968,0.5873119136354923,0.7722263390518905,0.7795097697676943,0.7662481950169312,0.6006903099138975,0.5359048577272346,0.48699040075814776,0.45997510926022306,0.42492877185134126,0.472408572337225,0.5158299053088268,0.7085255279982271,0.47695709507430534,0.5315450354599038,0.4498700374825661,0.5031950894202406,0.5419963831073491,0.5826595175440155,0.6235971105163538,0.6064540290658743,0.5581252925259284,0.9980570640121702,1.4873054217687522,1.1651520014912697,1.488274867592415,1.40064015347787,1.135513402835306,1.0563134770674163,0.8735453563562269,0.9665093719550775,1.0085834366286117,0.8818309380171075,0.8342712809944196,1.1884467567593069,0.995035447293238,1.2177528509964588,1.0708831372052203,0.9351964819555084,1.1586377704573445,1.2892973282375622,1.1200544978220073,1.0765760963323445,1.4836230895558569,1.332791740556258,1.1661536924181573,1.400923282834075,1.638256390986377,1.3163269472029964,1.3487319769093304,1.1426844806492187,1.462464275719193,1.0390151414406892,1.0248193354284492,1.2103672802233894,1.1593064261669184,1.8558268223401655,1.3280938386759218,1.710061992777752,1.2825109446849898,1.2748440558482272,1.3779652848740522,1.185193976070182,1.0833468931032435,0.956890905084683,1.022110026058361,0.916597286339308,0.993443691037365,0.8892351170544073,1.0457116304664396,1.114191176038299,1.0072205268951746,1.0922059483833715,0.8181082935453414,0.998971702244595,1.0483215047958805,1.2382436648762365,1.4649537892264293,1.7543850691522032,1.776577576895653,1.5344369716297062,1.6258481684102575,1.8829699878111001,1.7767145736659142,1.6392596356622573,1.9725240526511043,2.1161026769138123,1.8344247885159013,1.8859638313745926,2.1595780965017783,2.142563340532957,1.8651644288893579,1.9208212200566628,1.6343069486054402,1.6184816155778434,1.551343113938422,1.392844050445076,1.3489855412766385,1.218993539575273,1.1343354113757986,1.0509863377055617,1.019585674727392,0.8718466034251683,0.8827518230696249,1.0036505434416696,0.9089213690676459,0.9674065757840432,0.9853686453242123,1.3346630434488005,1.1508946892219667,1.1450203272553567,1.4108347102328105,1.5029845647204159,1.343166896784594,1.1252902984517934,0.9584543227405324,0.9606098310944021,1.0931382269720002,1.0674276685025632,1.218730689538257,1.1369035382426147,0.9617967039404094,0.8012354548697761,0.6734250416467773,0.6390982926697739,1.2505352311035998,0.9028178208466424,1.0812702782830619,2.1923204488373886,1.075793131267959,1.318603682028826,1.4907330819207738,0.8656072582581257,1.752229702251549,1.6185358835894608,1.3269208413165863,1.9768183698888218,1.512246806380764,2.6278742097366314],[1.6573395898407555,0.9615397642045211,0.8185721352868041,0.6860237658361219,0.8822472374263586,0.6894016926289992,0.6602905909998558,0.7552875176174888,0.6764208655439893,0.5931383160447684,0.6460385663981844,0.7802187061620768,0.6443027547241632,0.5778890248126624,0.7024551668929292,0.692290685085947,0.6620627639668797,0.6437027045252004,0.6680227518040018,0.6487802632058639,0.6746476858592562,0.676184887245794,0.7860036555221334,0.8680231058252983,0.7076662757024329,0.6531737557716998,0.6216580978397496,0.5651539426630309,0.6131750531694806,0.6533817626587043,0.7256983266332814,0.7678595892007704,0.7996866127886099,0.7772256104577869,0.7176841337535899,0.6772662677655348,0.6891471658321607,0.6131370996051412,0.5764527783252059,0.5737276087038732,0.6963886863002836,0.6359729266781405,0.6347830341533187,0.7366810189298074,1.1922935677912825,1.6154629798784892,1.7415144337827906,1.0060312314551332,2.2538210531095495,2.130712330143238,1.1579376650496882,1.4057202746427313,1.033897947539462,0.9232761342244048,1.0594831010894126,0.6648281976772057,0.6678849225040059,0.7257562305104949,0.8274817206745366,1.0337095117560553,0.7755594466868836,0.8400273164204024,0.8009468373395415,0.9778621755827251,0.7373329173467136,0.6961744786542178,0.9015625270741912,0.775729673456171,0.9250564870925089,0.8129242940139474,0.9856845666594253,1.2389226659975734,0.9503265878719968,1.0797195302916114,0.7784239066247932,1.193952027948805,0.7647877738849596,0.7611449478039742,0.7061934718923589,0.6815358817041351,0.7334067762357831,0.7010140081642228,0.966210594101632,0.7856540162177867,0.6407185235267592,0.650111670512314,0.6247284945980732,0.7345652405334269,0.6674542912725178,0.7648193007892724,0.7733021283211007,0.8523158540776764,0.7789127161809655,0.7631751082409853,0.746516596812452,0.7877677805300952,0.8478683700958161,0.7722994164740355,0.8163658156766957,0.9977348760501282,0.8532582961711949,1.0084945823414382,0.8204590280361623,0.8983766517521216,0.8454038153720893,0.861917603023445,1.0113357963056107,0.8273940671184364,0.8476461473877476,0.9363924370986719,0.8108196541142033,0.690087385114977,0.6723190512869521,0.6288302897120757,0.6007382511192041,0.5354895828624899,0.5678191561037161,0.7999341905966457,0.7049300554101144,0.6870769090321699,0.5989461948072943,0.5842447502977399,0.5639668649601247,0.4981540782353403,0.5732602045562146,0.5901605095743705,0.7037775698958362,0.7234135336505749,0.6891041767585723,0.727415682052584,0.9022408465453652,0.9552555003681198,0.8390877077388477,0.8160198585874335,0.746850285158686,0.7616143285001858,0.9084023904726986,0.6177432602482615,1.0617992350854044,0.5738240666243969,1.1836061858840803,1.0836859003357622,0.6555988153163729,0.5464755918412122,0.5336710951762181,0.5927952057053903,0.5631679415935111,0.6525716040596015,0.6840025594829546,0.7644469526314779,0.893840789152935,0.8742304765471769,1.0792913881013422,1.401956113402955,1.0824080451555418,0.9563017503576506,0.8498583136876092,0.891309776701982,0.7692993877019279,0.7826131650041281,0.6590216478897378,0.6404340057817676,0.5640208975356003,0.5632724102846474,0.5926859626887009,0.7213857123853071,0.6460275515406738,0.7658417778529669,0.804657871760421,0.7949589431346915,0.6759408591746351,0.5781534571314246,0.5918487494566765,0.6500460565120909,0.6651227661527268,0.7545457401128888,0.7696323879660051,0.9595150593397146,0.7263969941168049,0.8085928695840956,0.6592581762001173,0.7682583428718934,0.7816549930004143,0.8094309761309747,0.8395947099109218,0.7939619060376464,0.6643157017709717,1.1586707135281102,1.6028395571593304,1.3103754473709799,1.5752772331461133,1.4678771501691787,1.2326225177326657,1.179898535022967,1.0247582418134336,1.1129109771159453,1.1652894955511248,1.0243138697496799,0.9693210070283386,1.3143673968935496,1.1137856170836247,1.3388282269005174,1.194934771495341,1.0288381603101568,1.2504118797848647,1.3767932618299787,1.1798295054854844,1.1332938404859156,1.5481851066313088,1.3853681568971767,1.189406840503396,1.42611562578842,1.6767544925811044,1.3280855167181238,1.3322149043779155,1.1284819664322607,1.437315463657359,1.0096719165506418,1.021248124552882,1.215682678807396,1.1724044586020355,1.9571447044344754,1.3525873212931763,1.6764016971836362,1.3434988171313353,1.3687909107062635,1.4983938503133623,1.3166465973090946,1.1956531640321335,1.0509883071870367,1.1091091021475352,0.9598497719870788,1.0035814514767174,0.9530074061447723,1.12276424433685,1.1235631736564973,1.0527251696072326,1.1701239667354206,0.9251934206440607,1.1341796898642247,1.1798129749555917,1.3451138738756956,1.5635601641942733,1.8435223008070742,1.8578275535222148,1.6376648653676966,1.7116314045959966,1.9634640366918135,1.8556230870519284,1.7203667455610343,2.0389368859162302,2.1759171204597743,1.8951935826372004,1.9414691903843775,2.204554895073101,2.1899518452644537,1.9037083819592657,1.956505595694026,1.6824618147667796,1.6766312924171292,1.6265321088928362,1.4653102723459892,1.4026978112263861,1.2860829170248906,1.2095076261481337,1.1099819731447516,1.0597553376599855,0.9461723503930742,0.9297081948185737,1.0043867758176501,0.916177084521063,1.000110593388852,0.9647423064427132,1.2995244102964063,1.096718754206948,1.1023552055073493,1.3433770577827242,1.4578758944100132,1.301519952754507,1.1138884709887786,0.9642779263716261,0.9815112736282666,1.1146992805163243,1.0913106629693974,1.2192188399310302,1.1292196072877296,1.0107990511562237,0.9085197826613807,0.8314470726482115,0.8473866963030264,1.3535624364071572,1.0962103093736024,1.1856120412193247,2.2826802578740195,1.2562149995144658,1.427417694769952,1.5749310434246047,0.9947352444604737,1.7437013112241095,1.5886764951363335,1.4695933758256587,2.1898343580788637,1.5621124121897585,2.43905453275545],[1.682414499387473,0.8786441770866603,0.6468870038325596,0.5733277034522631,0.7814610195315808,0.5066547633172215,0.5064028326303486,0.5511900807461765,0.5056710491082208,0.47480151708761825,0.5075011134247407,0.6163071163644386,0.5144227348586274,0.4917776589024663,0.5915889051883665,0.5629714560610779,0.6135162505718398,0.6091347454753397,0.6615045897052655,0.6491674677847434,0.6931166970399718,0.6951373250003653,0.8262100926660689,0.9428199718842275,0.7277374418702803,0.6915977892467888,0.6230215697249099,0.5752253286667405,0.5605698457510947,0.5556113228528863,0.6339103692848176,0.5939261720292526,0.6828835782059973,0.651630791532205,0.5883831679197163,0.579258958364031,0.5598240650853796,0.5662582892065657,0.5399724510320878,0.5366727558473352,0.6468890083234929,0.653760111822728,0.6467068344923431,0.7660368716711864,1.231339619848438,1.6078619451379497,1.7218277093721883,0.9828279301414079,2.1952716863128976,2.029001064084824,1.0939752455720855,1.4079875899875867,1.0366583727261611,0.9185622857728902,1.0071041135158536,0.6399759154624118,0.6544675627451991,0.6886851272313924,0.7821638242517982,1.0139826639765408,0.7860391061991089,0.8032900250709908,0.7507121926979664,0.9849402751018012,0.7603005480164655,0.6769282337383998,0.9065588878241491,0.7597689575982642,0.9612759841953621,0.7952772159991459,1.022120795175759,1.2902128658508296,0.9342949054054582,1.0941676855988236,0.739731446121312,1.2075091443482495,0.7109636474183996,0.6808652457807508,0.6206365389343831,0.6144950158058721,0.6267969893581904,0.6091955455384389,0.8555329917881318,0.6772521483333731,0.5678913092850271,0.5540060779825541,0.5562259264308286,0.6278423116380866,0.5830737685015552,0.6636390699466389,0.6834202398168754,0.8044470938485748,0.6852283027839121,0.6382199530447964,0.6171389900996503,0.663737820533696,0.7003243770280096,0.6092722245923625,0.6257646543070094,0.8014411493050225,0.6494615361911669,0.7942210656533575,0.6283499191861899,0.7022588733922683,0.6694900269729039,0.6925890692206575,0.8087597599360216,0.6597644041066701,0.6853917513660246,0.7490746895853079,0.6383664046503198,0.5571056636590531,0.5305351456247053,0.5705593067534407,0.568401172506899,0.5412152585756701,0.6146281719091422,0.7289754907561627,0.7280288651048937,0.7281049074447213,0.6352325240889327,0.6188810964899364,0.5973801948409941,0.4885864522645875,0.538896705810814,0.555324256155183,0.5974778422829314,0.6321982911485414,0.5931560578649406,0.6468913547371647,0.7845467139858928,0.7754759345440717,0.72254763427847,0.772336856268818,0.6965207548784136,0.7405014975510275,0.9070015286106804,0.6074838011367992,0.959292417266986,0.5567212018890413,1.4415218712602906,1.1766102351277945,0.681551815273381,0.6326591488819947,0.5836045335873241,0.5701216115348408,0.5446732928009718,0.57592543143497,0.5746236762237417,0.6180410193625573,0.7052160060393876,0.6697994654899158,0.9259056667131207,1.336199283530095,0.9870593680771408,0.7471507653085365,0.6380794014982155,0.6869580419992343,0.5959832627086309,0.6362971244722192,0.5780020279644288,0.5612965983867314,0.520950057910491,0.5234849094066646,0.556930206549693,0.7115161303475159,0.6506678228464515,0.7708743570844404,0.7745416550840453,0.7847068748664779,0.6621903014755615,0.5619361518517259,0.5796905524833561,0.5896166417404483,0.5737828310512055,0.6111815036465158,0.6258781721396555,0.8189599945516373,0.6134623798965892,0.6788452477059984,0.5746410328451055,0.6456328463291594,0.679060039314014,0.6991150202642745,0.7623713620548984,0.7431707886078758,0.6489625051191985,1.1930440734281096,1.6094134487818383,1.2388926011206778,1.5445293003340077,1.3930323446589807,1.1491553000937147,1.101377565771072,0.924871670700768,0.9861686997285312,1.0825521241947211,0.8563171306982398,0.7919913424103479,1.1216835663311178,0.9295778070162865,1.1776512911661758,1.0123364661794216,0.8266699894879094,1.0748560450318063,1.2087947752647998,1.0022626020860839,0.9550482364334026,1.4080671401664313,1.2105097862918794,1.0209509189523729,1.2907365995022062,1.5420976640729884,1.17926835933892,1.218001401026815,0.9836746926540614,1.34157139069591,0.8681706219557239,0.8804212371072573,1.0763829089708088,1.0028399250442934,1.8992597010741161,1.2449344689240154,1.7363332919705887,1.2200289262585005,1.2394573562538806,1.3490558004876911,1.1780290907153415,0.9861666861905011,0.8758957500875756,1.0061196989546062,0.8343375884128156,0.9002564259867436,0.8195489040840166,1.0274596987810738,0.9392613668856572,0.8744975223002645,1.0144150341204397,0.7336074366822104,0.9512681990986417,1.022636458881347,1.2267621813554832,1.4602720430577305,1.7322490118762437,1.7697421693547413,1.5066358986089008,1.5987260364247118,1.8757270369779693,1.752138016071383,1.5994489407315131,1.9468013838082443,2.0917456408228428,1.7900401590472252,1.8509603763897855,2.1374321027198895,2.0961232924417708,1.8154498594091237,1.879593613252355,1.5764120837893263,1.5743208265491582,1.5055786625998948,1.3515426767543903,1.2812935101865368,1.1267765293296483,1.0631020878335848,0.944913718279534,0.8979714445492402,0.7475419896889323,0.7429729372676784,0.8371196903027436,0.7427352670843976,0.7936201898060379,0.7853399677538133,1.1338415141649298,0.9810410539866703,0.9959766259820552,1.2893950601955042,1.420967629423738,1.2081033216518695,1.0268014168735604,0.8073283617258885,0.7845401364012414,1.053724063347422,1.0026719729882594,1.1757926949558803,1.065679300724789,0.8436601881891613,0.7613880392945696,0.6836030217789446,0.7231150825640301,1.1777063475458105,0.8645088788012784,1.025972887168219,2.2114781383720996,1.0264819299487622,1.236688052674528,1.4293216267845432,0.8426709568959536,1.9809628736346525,1.7888646494418046,1.2837819137371478,1.892782834055938,1.556612529293199,2.7295617975321353],[1.8908710005580418,0.9391523655110192,0.619050812614955,0.45886238933169754,0.5996263217658484,0.39768444148540266,0.35434661202502377,0.3883652187762484,0.35043866408445734,0.3400672687153017,0.4054985588483843,0.50710979966664,0.4028770407366661,0.4221267536079589,0.5753532838489882,0.5138382452764753,0.5590205142563422,0.6037599249035619,0.6753959305206536,0.643997302188494,0.7069382118335347,0.6968132212859116,0.83835417899375,0.9887446548121702,0.7143953605410898,0.6961391905275,0.609128091759175,0.5502075289710052,0.5235433146449899,0.5131905661038804,0.6024137496817776,0.5411926216152083,0.6588542237967492,0.6397187701181853,0.5501002428278172,0.5510256967152465,0.511038433439904,0.5303469813727317,0.49708770333781993,0.48038828888572344,0.6207047900455546,0.6498319787642539,0.6340846087989742,0.7581118138255473,1.1982968698804664,1.5637214094066663,1.6291926201494296,0.9711629161787354,2.237728413001859,1.9938396330922588,1.0563228725477363,1.3888417799036925,0.9883655394232354,0.8423203591445362,0.9897213661351112,0.6368192015886905,0.6581457959411744,0.6746587964726988,0.8018453926505691,0.9814762964100533,0.759465084744154,0.796753714453719,0.7623114940978493,1.01541273999765,0.7682691457531736,0.6751689784659003,0.934800587099248,0.7804698149072361,0.9933383199351236,0.8246116686230511,1.054954377210518,1.3965682800425248,0.9950838644448194,1.1464208418586639,0.7788576270433553,1.2109829570828234,0.7311209434054485,0.6909947313355536,0.6283682295496552,0.6146707682158137,0.6161774345805713,0.5754310261767855,0.8054328442890085,0.6289708655314447,0.47681562257433224,0.5006113291086317,0.5264468421773829,0.5999811534638891,0.561251436233767,0.6517416150332167,0.6900818127085961,0.7851134838485404,0.6875619534663674,0.6320434249354184,0.599165626777962,0.6690470593913188,0.7095940159278759,0.5703960433737681,0.5633343646334723,0.7800084486711507,0.5723498406717384,0.7141802391262325,0.5292992308701594,0.5904136154288775,0.5452744814751437,0.5354205750047781,0.7444668593669916,0.5377902152987231,0.5613748309294786,0.6273063232969285,0.5020424666862497,0.4002477465224857,0.3599847316979076,0.4198432245268372,0.44537071813007967,0.4630624257962135,0.5852551106714056,0.7209074327579902,0.742615682855028,0.7343077561795447,0.643547060320199,0.5830316665978463,0.5626770398345998,0.395232157575041,0.3850446239575789,0.4064032132221068,0.4509744107894232,0.4483827297228455,0.42379563086303285,0.4958754559318632,0.6440314661392865,0.6361933772053457,0.5278839046334085,0.6526332851858938,0.5048387957674774,0.5447356194919536,0.7429815696084311,0.4931847263235506,0.996518124436577,0.47831634350281166,1.443864518622898,1.1059591041574637,0.6490761810550182,0.5767111232815024,0.5115694842366234,0.4943349069894503,0.44636822619319483,0.46542906081777535,0.4249603958613537,0.44518022234722865,0.5523524088269833,0.6022268432522284,0.9893720416477877,1.4247340649424358,0.9873525026887642,0.7165679972009039,0.5359685444980444,0.5588858071257017,0.47975984108098574,0.48805594862046286,0.43689523966146054,0.4635216351928774,0.42790351947150657,0.4378613570484409,0.4918851564339581,0.6311186032782019,0.5447765532512794,0.6855644513020325,0.6892958175240497,0.7149150726700061,0.5545737936317237,0.47908664822768554,0.4604463693758525,0.4515590875278746,0.44204217439413207,0.48251378737312994,0.5233702517274419,0.7548062947109551,0.5146659098664457,0.57622774472602,0.4506543535198894,0.4848793395488641,0.5109886540767801,0.5336680446171028,0.6065338280986939,0.6253581378004145,0.5591443709372483,1.119321262691897,1.5142691167216358,1.1181476994514934,1.384710453425568,1.282514124200394,0.9831606714612502,0.9216776660918535,0.728392754544878,0.8025180263297977,0.9256011733162591,0.7584386566428434,0.6942000325379507,1.0727923329163818,0.9632416772339324,1.2175123321832602,0.9872490634647602,0.8502396198110896,1.1729851156523683,1.261386007663617,0.9995643206322868,1.0492937963835351,1.5497466268376572,1.2683619499027676,1.1191596964117418,1.4391246095241408,1.6389370940369454,1.2518360543435232,1.3525515449926804,1.0947278901743855,1.5304277730474432,0.9552891295430235,1.017697940909051,1.2721506124036035,1.176463526944623,2.07201820373892,1.4627529162913258,2.012687194224906,1.4874529114576376,1.4982230225428088,1.52648143815166,1.3746441985588282,1.1902796060986416,1.0085714677149897,1.109188947922721,0.9030925822566805,0.957536135233875,0.8148221191194437,0.9953738003716712,0.853542311753986,0.8115847413483017,0.8971760495723883,0.6828646000581365,0.969074088297033,1.089371089174423,1.3406107771069946,1.580088777522483,1.929423537775748,1.919842378161634,1.620046516766942,1.7906911798182894,2.0541688166078353,1.8676187036079004,1.7475195715686584,2.1520240311264756,2.2746059459964143,1.9425523461828127,2.0688412579481064,2.368132919894407,2.265369487173398,2.0258834977728233,2.1345479172081836,1.8095507174927685,1.8244927330923146,1.7109295537384854,1.5981154257966836,1.5250614118732309,1.2933714131267557,1.2360725213953994,1.1412699495208374,1.0645517873739834,0.8308524703859655,0.8609449282715094,0.9157218872973923,0.7745213127097451,0.7631028472430407,0.7836745675203939,1.1172612414334635,0.9439513725222541,0.9789454616789696,1.2282120635729405,1.3918177535080232,1.2385396218163889,1.0549096615696254,0.8411665080301556,0.8119110983821974,1.0786200159820054,0.9878759205632198,1.1376090619590824,1.0462317259394323,0.8208237765261563,0.6465868276932917,0.5267917412451603,0.5684384312188224,1.1611209864398144,0.7314726043741718,1.0168714369198866,2.060163120553394,0.8562342151935258,1.168613228536695,1.3572343314265258,0.6924054098281567,1.9780297700186087,1.9298738030880858,1.4263614003639322,1.9244184955408514,1.5566859166590732,2.820173325568961],[1.8284913269159693,0.8878664998357515,0.6163072417573873,0.5768504437581433,0.6631735921429538,0.5276558032783014,0.4803288437529263,0.46689008510488006,0.4365962082607495,0.43169420902377376,0.4810904416044811,0.5706914968623511,0.47508684526476264,0.5012350739988931,0.6302398181444276,0.5601243902758993,0.6291564071024812,0.6788857693075959,0.7956031032997121,0.742482800300703,0.8188912338888704,0.7899914006108537,0.9874406232394294,1.14539634557697,0.8191697937412975,0.8108690815722728,0.6936266986746136,0.6222071480952434,0.6002213225930552,0.5681043630609534,0.6702808119701773,0.5868462178808926,0.7100854319728623,0.7000123063073687,0.6124439178193251,0.6167456586419241,0.5729662102554762,0.5899665889034089,0.5697648909383363,0.5594587859251576,0.7066103819258086,0.737909993664814,0.714805072469764,0.8446594276652979,1.300557242651066,1.588396692667945,1.733835464122954,1.0957173988678846,2.1855152105628437,1.9245062938770483,1.1639428220827415,1.4049426509884892,0.9997895534274008,1.0043585488219489,1.0333268313512964,0.7243510492258091,0.7539525663131933,0.7675970781313283,0.8447745659048517,1.0837615361318031,0.8570888983631315,0.8815072227303843,0.8555864500828356,1.0909369888389908,0.8832844507582659,0.8022528148630106,1.0391455841783497,0.8847857960901617,1.1007005411207313,0.916075176121523,1.1483043256397867,1.4455292226854874,1.0810081098093396,1.2812121671734287,0.8761521789574623,1.3889158009686704,0.8255029987472846,0.772931806735159,0.7035508649287422,0.6853651540763706,0.6499981467408479,0.6517814176604836,0.8476215586685859,0.6207311689151102,0.5339504247306098,0.5636072571746141,0.5787770271462105,0.6376390752808054,0.6391196851537099,0.735627483082117,0.770302235981455,0.8724147338707808,0.7790366687858974,0.7306721152536487,0.6606210061638057,0.744079565741695,0.715908997267656,0.6004178548255067,0.5608742445787245,0.8390815628148043,0.5835566501704237,0.6911340670607456,0.5470255435597811,0.591302316271893,0.56242117338321,0.5694095122971495,0.7615738786788706,0.6241577339860654,0.6549195587856239,0.713140212366357,0.598127160259125,0.481288504294352,0.4641374378013285,0.5189252628710203,0.531290261358192,0.5698253604526303,0.657626108946946,0.81228336344245,0.9085597064837102,0.8207994696606504,0.7570592004766731,0.6810322799157019,0.6977160306128675,0.5182896663276211,0.5036782833204777,0.5100994528065137,0.548015006314113,0.528814040996769,0.5187631662333191,0.5726678165936079,0.7316055246389092,0.7024268918842219,0.610045636373239,0.7408482228312326,0.5941013011241559,0.6270361919612768,0.7761154743309978,0.5982052540626713,1.015392876459984,0.6174164113851397,1.5573195321166386,1.2300126672976457,0.7568619491232484,0.7050335829902071,0.6163461997546412,0.5841536537326982,0.5456512641909509,0.5055734139002684,0.48515417849917214,0.5136970301755514,0.5817977510280613,0.6383176916480314,1.0044929727352343,1.511500719240362,1.147997895948316,0.7528178702921221,0.5570109710206811,0.5687112784642507,0.5039722374899547,0.5209128452896565,0.5098101502869522,0.5295064915655271,0.5273513381271224,0.5265256234381898,0.5835878192598629,0.7496554090307032,0.6632603810103063,0.8207399492446716,0.8098693818336159,0.8331640629950479,0.6654418168220277,0.5971819439521534,0.5602474919013938,0.5291322700695874,0.5074010895263653,0.5268699940051479,0.559266449406845,0.7613488789782137,0.5714797051832328,0.6141220028210412,0.5205887059533788,0.5336380019931367,0.5753475043431896,0.6254703047567574,0.6799097919854802,0.7291558216374295,0.6693408416753259,1.1895626712539267,1.529911428559813,1.165514102630693,1.4729388184703576,1.3719860030515176,1.0348199699119423,0.9750014899683727,0.8185846309353405,0.884607628203939,0.9889442035588994,0.8360501221479943,0.7709335861724534,1.1266479221137977,1.0065766191676555,1.27627352980602,1.0609526630903778,0.9125990539014783,1.2143996393109822,1.334888090076789,1.0808284691541596,1.1059414211583878,1.5928834413938238,1.355262142793777,1.1838145091419363,1.4826518793746732,1.7138525350843348,1.3287344554007257,1.3931828747989514,1.1392961764846319,1.5410786587651528,0.9701391816475903,1.0339594906873228,1.2733441578630593,1.1729687988176087,1.989851998679993,1.3996452843622051,1.9786237375423845,1.4575234337540082,1.4709099729427233,1.509628814637267,1.3490543126631866,1.1814988856329613,1.0197227874009696,1.0939366039827547,0.9097089433223221,0.9738699143155654,0.8312743312320428,1.0286785019840674,0.897421703925472,0.8581138697776167,1.016328432132478,0.7390709027826265,0.9943586399641338,1.1020870733270478,1.354056359319084,1.6127728292420398,1.9340673651304652,1.9620250486158002,1.6539715239379744,1.8045854319932,2.094547459259104,1.9226006203907873,1.7846602149658783,2.1848573390925434,2.3241935446408766,1.9912321029395506,2.0892686423486277,2.3922365105781265,2.311991638931276,2.0495882349970396,2.1364284705065995,1.813866546444524,1.82357698954777,1.7193579063638518,1.5876535857637852,1.5083796900029787,1.3096591901058157,1.2515144175252821,1.1376674333554366,1.072477537842551,0.8636118283900983,0.8705937013378782,0.9408273343698722,0.81057262618929,0.7996505295380432,0.8297085892636905,1.1265798249270416,0.9987290030525929,1.016265759131891,1.289593129490661,1.4451621238729049,1.2450475647062986,1.0528302374344607,0.881963719114705,0.8746024937167007,1.053374709916597,0.9870100404038809,1.1394788581153545,1.0857858765296788,0.8850469463051618,0.7451772095927688,0.6262346255727296,0.6597810848534058,1.261924177410085,0.7752185690579968,1.0258483952051887,2.0549849388107937,0.8681446252325009,1.1913692153542692,1.3758858178671922,0.812190141227552,2.121691189524555,2.094836745298748,1.536673815272585,1.9413656423332104,1.59028416027991,3.1814917161373395],[2.0650072662089385,1.0011398950474817,0.651667126369888,0.4156414793206455,0.4989845005044998,0.4196352718695799,0.3350632813075219,0.36157471589472334,0.3281336639411731,0.33206015508837533,0.3990079185450868,0.5114380989846689,0.4130416405784469,0.43695437992870095,0.6116393467269012,0.5426098148368019,0.5777760871429324,0.6574593521883112,0.7608099421264346,0.7162226969622123,0.7949866206094586,0.766117341573614,0.9530772243588331,1.110845302056611,0.7715168464853674,0.7699211755687007,0.6554061744297462,0.5889088684429645,0.55841279160742,0.5313338849809313,0.6560014045499231,0.5678124194749964,0.6927017819938901,0.6781959033400351,0.5850039101230372,0.5861571044924715,0.5407796817753411,0.5515941279297991,0.5200533569785407,0.5032993593474359,0.6489612928367933,0.6932179583404829,0.6899028848445532,0.7724995654479893,1.2258315859620548,1.5401178396890256,1.5871215440363597,0.9868881924617618,2.1960624483235716,1.8638901848444875,1.0706227857621142,1.3640463546882862,1.0144688620172513,0.8800161777371774,1.0293692795823557,0.7041460437773592,0.6965051519669854,0.7368413566604327,0.8740476455494737,1.0073782364894617,0.8389542021460673,0.8838720798235433,0.8415446398032439,1.1333164212787021,0.8457343668082856,0.762396794677549,1.028757884116901,0.868172948304253,1.077820881349333,0.906220276111817,1.160238016958702,1.5267798707113043,1.0863541549582905,1.2298041376816746,0.8685762074529108,1.3084882335023391,0.8142894785877787,0.7714162587569365,0.6922343009114238,0.66936359168562,0.6415703334066243,0.6165847370486478,0.7979657784605015,0.6374557066597323,0.4896252287366576,0.5106073427679404,0.5612211715923765,0.6170463650909961,0.6169752718579354,0.7109900199177748,0.7554807343295864,0.8367068930937847,0.7452079847866078,0.6820282896119739,0.6434625423393867,0.7107213671509316,0.7488013623199763,0.5926244966960746,0.559977936538078,0.8359518779200049,0.5724548228949303,0.6906597239040907,0.5341873280666283,0.5750511123697198,0.5273115989116128,0.482291717994081,0.7724661444905919,0.5404017138087625,0.5582541653751365,0.6683219631170298,0.49524432747155217,0.36263614893183915,0.3336591276333027,0.3820571422703806,0.42929472042489436,0.4584819086379403,0.608992605382976,0.7214449079653908,0.839223505970343,0.8031084613032048,0.7008977469485995,0.6156537693120414,0.5895706872279931,0.3907867069370413,0.3561282547951309,0.3688472278069326,0.4545814434123558,0.394013208731688,0.39101910118576033,0.4697182311948645,0.6202599534158499,0.5919496251774458,0.4590450196152887,0.6958650611465598,0.447754686982367,0.473396444916763,0.6565520226400648,0.5017244964813382,1.0384539183803498,0.5100478476554113,1.538333632809978,1.0977017053936355,0.675955096083833,0.6132777400574144,0.5337005799164496,0.5120525910362843,0.4498761280432658,0.44263482711296215,0.4074451188441833,0.411681782414989,0.5139008284492617,0.5897997603621945,1.0247077472296655,1.5480526935898054,1.0809661746968522,0.7467922051133891,0.5216991488020233,0.5421973016145737,0.47145256094619986,0.45980787422868225,0.42583169618489497,0.4677829923050376,0.4480492742111247,0.4657268760587808,0.4915733121382393,0.6403372080812951,0.5535748459079253,0.6823529879942832,0.666361883602788,0.7167636506149851,0.5495228353428855,0.4974127421023632,0.4558908982847748,0.45634449103125024,0.4514749208901496,0.480729323117419,0.5190367877435413,0.7528259426352157,0.5350891769563577,0.5727666898603194,0.45361048111154456,0.445979415578299,0.4721095011875129,0.5051787731453775,0.5751285590599007,0.5954992985254974,0.5557962059916399,1.1262725322359897,1.4819009428988676,1.0523403406040015,1.3230752053698136,1.2951306777019684,0.8844882229850435,0.8171815479995149,0.6619855578968915,0.7125857577568053,0.8589910819847053,0.7435246038911218,0.6811491936514282,1.0582174848404262,1.0235351039228633,1.28366379963802,1.0170349721613734,0.8979866496498783,1.2594968057013762,1.3241843677553085,1.0380851195900702,1.1235397697507543,1.638292761377474,1.3153181124685756,1.1837656046590126,1.5183310542021926,1.6929366657134965,1.2959504990397772,1.4184746653067233,1.1736920666171289,1.6266485105383888,1.0249741386434954,1.1025618870060383,1.3620201722150136,1.2596756949676944,2.2169037404479366,1.5919788975872746,2.193550938674597,1.6346222215302124,1.6613336699040773,1.6706997363588916,1.5326882668892892,1.3198079534635028,1.1198925362238348,1.2249854434274259,0.9988980118863758,1.0181622119057119,0.8672739892477261,1.0639378622429274,0.8192105726668963,0.809452762130683,0.8679734343741656,0.704813158582365,1.0097731528111937,1.178210388729709,1.4547156819331377,1.7069407960147573,2.064373731495476,2.0640133498680564,1.7217993981256827,1.927207684713908,2.203882926450146,1.9688932740380114,1.8613918218510428,2.2954078156700612,2.4061641493509804,2.0409558813087405,2.1970479485620236,2.505101781993715,2.365499901240771,2.134086192784497,2.2586245914872376,1.9236048360996911,1.9641001645004432,1.8458334197618034,1.751887357607642,1.6573005587415193,1.3963121260465339,1.3622453263237673,1.2573347904662542,1.1669254239283975,0.9147872533142355,0.9695250149964765,0.976116016808612,0.8266926723766237,0.7764516539392254,0.8149700636387762,1.1170581310093493,0.9464296882922979,0.9919763564006673,1.2303615068057345,1.4180951302028026,1.2626739321512284,1.085122049776088,0.8873731259047245,0.8628168371747201,1.1163212957124335,1.0000613701873746,1.127139837828432,1.0522713353389739,0.8322811074946487,0.6350503879227257,0.505588169577872,0.5333340658659468,1.1962284224458193,0.6289032012003372,0.9453992512452819,1.9312109998179203,0.6827231980894403,1.059187382639969,1.2426666218240334,0.6582961016632325,2.1139672679356547,2.2004913299139055,1.4965699471792049,1.9031745556741608,1.6822663017787833,3.3218904684156194],[2.071841252358743,1.0023619330108933,0.6244800537083051,0.4160453548548668,0.4797642497648385,0.4486179325593671,0.373646295956691,0.4156124511767799,0.375471236951015,0.3914394580356148,0.44664515115769143,0.5542204618966406,0.45927625681973716,0.48689059144545843,0.6554454783766371,0.6060722839534332,0.6367854601340536,0.745403009614412,0.8674189525193567,0.8075354663383344,0.9243922853589132,0.89563764565845,1.1208326813695964,1.300794132746953,0.8893118441762411,0.8873418384822782,0.763676337832216,0.6732419732490368,0.640438510515915,0.6176618250315936,0.7449722230724497,0.6542957607053935,0.8403532044983696,0.8236448634525185,0.7078802379609083,0.6931273682545138,0.6394209607552905,0.656872246617924,0.6153017789086244,0.6062663852312095,0.7477532155802106,0.816391493095731,0.792474672371456,0.9058712974037724,1.3711775257166703,1.5765634426323138,1.697177775325658,1.1640382024165206,2.1421685580237826,1.7592853035193754,1.1826085997745548,1.3441796804692088,1.0240306502416572,0.973043041060391,1.0708775082331083,0.7902757846580868,0.8387703061710883,0.8314495052585475,0.9503758147348366,1.13881075881257,0.9587597041450265,1.021328551257674,0.9748499370941811,1.2668412379373306,0.9872269657474985,0.8923780785760543,1.1267979793506293,0.9694455896508712,1.1655139669385461,0.9890406445049967,1.2311417761935226,1.5952693406542444,1.1583482017415592,1.3434252796844541,0.9842753084503496,1.375827091819083,0.9403809566965035,0.8936131494723325,0.8203233114547996,0.7764321219724376,0.7452088005694018,0.6915933972209213,0.8669956907247488,0.7062449725319323,0.5753798708407037,0.598400150188371,0.64459455069498,0.7101931643217908,0.7330461066120656,0.8605135065864822,0.8712024636450779,0.9366816733716954,0.8575253224576195,0.8291110106266637,0.7495801935328226,0.83016338567773,0.8020246761597136,0.7059569373748859,0.6399144406781067,0.9323869741563862,0.6615763693345335,0.7388036621080869,0.5911377526177386,0.6080868908844688,0.5726177918246764,0.5032397446263819,0.7855770976676351,0.5590128488003576,0.5698821815853533,0.7171786652856268,0.5034187799782329,0.41101238037664695,0.3813844150142246,0.4175038970313362,0.4685085686835772,0.5167636675759714,0.6722028981293535,0.7873678724018826,0.9613035166867061,0.8691985691994962,0.7870088626989635,0.6896797029995126,0.6759345166554082,0.45575916494910906,0.3948548530570227,0.3936543702832375,0.4926222838684586,0.4109393015143978,0.3944669512980055,0.4699342499855369,0.649428003923223,0.5912193162719687,0.48383245139133957,0.7194002134347554,0.49387071339777944,0.5164470644836705,0.6301550595746849,0.5718470276859341,1.060100046039138,0.6086306109459204,1.6395885791581344,1.2470203783322569,0.8214179415272448,0.7212777703766587,0.6293685981986281,0.5847481116822627,0.5176274303909428,0.48909962958216135,0.46508151471417675,0.4457514075696379,0.5248362976942704,0.6359504675807547,1.0513073168009262,1.6756936540038252,1.2121785384327828,0.8214500271372197,0.5647623962733783,0.5597451916647651,0.5335997146496484,0.48982495480007776,0.4948500976266985,0.5256490599019247,0.5206129655102838,0.5342012126668506,0.582158491017212,0.6954998717820904,0.5975558842458533,0.7436258251237502,0.6997063406950702,0.755736640526505,0.6049614750693653,0.5665616359990409,0.5242467451113882,0.5038006779897273,0.5037251565420044,0.5400724956058329,0.5904208823281906,0.8342037772589093,0.6204517658543648,0.624438623536052,0.5072625106629463,0.48804226125187133,0.512091309719235,0.545582894033206,0.6174922171988122,0.6344644813041121,0.6128117506869062,1.2247475460290922,1.5629604602561162,1.0850036449372025,1.4162685081046167,1.4356279304730706,0.9607035673497027,0.8712951132788833,0.6950294974493774,0.7121542073801583,0.8693405701189896,0.7496940624447298,0.6804835556755724,1.0918591704144696,1.0312126646390891,1.3095762477741113,1.040770273286739,0.9079313632763688,1.270904651310971,1.349972410721946,1.0625824155054362,1.128649642488034,1.653295071542933,1.3383332062251425,1.1895787583663278,1.5200414905498287,1.7080505527355452,1.3075181150468385,1.412911961755925,1.162938716215959,1.5992257039821767,0.9825663604873202,1.0757379223297832,1.3410568188402512,1.2332985513117818,2.215297098206066,1.5721498076539593,2.187272084065461,1.6286941858048962,1.6630256772426013,1.678509068563939,1.5323024922483097,1.2978320334549531,1.0946396174713695,1.199751997025285,0.9560219291104509,0.9593645566036169,0.8219285232238028,1.0546735848935518,0.7971557764597493,0.7988177482263353,0.8935348998454611,0.6945973340903947,1.0191119992252828,1.1845081486328752,1.4592939119045318,1.7423246335470142,2.1048044563488455,2.1156647863129927,1.7426678735655774,1.9508259886274506,2.248751015190115,2.0128019528561447,1.891796957949325,2.3289481816370867,2.443149796741305,2.0651929997214507,2.219172827653355,2.5332045739168394,2.3895907315748897,2.147283413992369,2.2677597690513407,1.9289087056170953,1.9717096374062222,1.8597743081228577,1.7594142176123186,1.6481991811427343,1.389042459864198,1.350824065095512,1.2276260600675961,1.1320892963523035,0.8902116631221741,0.9313857628112564,0.9311799287112716,0.7949327379794835,0.7517652966208287,0.771536208333522,1.0826815281996656,0.9220288086396574,0.9756740650896956,1.2281230310141926,1.4236205584721053,1.2346950153611123,1.0442903553835388,0.8655502177757569,0.8556661441214835,1.069756479803535,0.9663126100646539,1.1039189264063307,1.0568492564964318,0.8341363702766126,0.6667346454907336,0.5358483712148387,0.5880126588448729,1.2503891063112136,0.6041431392580484,0.9076881230571806,1.846537898051417,0.6372603290325256,1.0228952748381623,1.2035069901986175,0.6968062985586768,2.1558870971299204,2.3029306472006117,1.5688670368430895,1.912192519888401,1.7328135873947699,3.695820885513523],[2.140366883968344,1.0235036471553927,0.6732401508351975,0.38225800575677,0.44766598542019803,0.48442822417869347,0.376877342087535,0.43495545645549083,0.3856069136052464,0.3455208620062641,0.39989195927249066,0.5353337514625941,0.4460498668644663,0.4530597300946242,0.6693006861299838,0.6129807147461568,0.6259741386127698,0.7393975725046957,0.8517407736734441,0.8023894211764463,0.9065081446951382,0.8727827944203396,1.0889401544139712,1.2577166877604926,0.8506332340635128,0.8588510323535608,0.7485498563830179,0.651917388561048,0.6364240072190881,0.6175791397231716,0.7321401761951252,0.6594369362070264,0.8104909194326765,0.7992072042555453,0.6994687545038287,0.6880861189733721,0.657945873133182,0.6567120846749775,0.6092941571991572,0.6138700417817281,0.7417251269615484,0.8049378512124182,0.7995803518318251,0.8801677638306155,1.3227480282999566,1.5412830510967688,1.589118005747795,1.1234430888700258,2.1734346448846167,1.7509903195421515,1.2049003422031948,1.3241744809070668,1.0502974545296202,0.9573402647115659,1.115750261713641,0.8103828683818725,0.8270483924779386,0.8351074702392383,0.9590188945059707,1.1126115417903812,0.9458886873715033,1.0005745518299003,0.9637105645104701,1.2541899384396782,0.9585792052669632,0.8787058454341763,1.1507499356036746,0.9792020635491927,1.171067043601405,0.9892897289607894,1.2519773633217637,1.6696633743452454,1.1850859611312596,1.3286600507331967,0.9693006891506727,1.3710272710854075,0.9202060597297411,0.8772368351441496,0.8103484768624333,0.7906124475482561,0.7553870237916624,0.7160036731771969,0.8541944917522964,0.7182370840253142,0.5877527699135072,0.6215293208927972,0.6554143523762801,0.7336610050184458,0.7243274444196607,0.8403001515244217,0.8539372004299357,0.9149236103753169,0.8459676637801966,0.7964068648474572,0.7319976944910361,0.800858648903153,0.8130915382342803,0.6901011945414695,0.6581662964629633,0.9628631674261642,0.6850457298501975,0.7914831676353232,0.651313805446922,0.6523232693171651,0.6147845382899124,0.5423433837101042,0.8540560746389492,0.6210541877592188,0.6028948006668383,0.7565607553936036,0.5335423398011538,0.42999566620205587,0.38636380969110046,0.4200971892180976,0.4567826634552119,0.4957661872145338,0.6408815883950777,0.7539306396592184,0.912249156452736,0.8718457846723908,0.7618718183887787,0.6582016059762107,0.635492681820307,0.4052864775379749,0.3687259978519995,0.37950587054388174,0.512274362156167,0.4063787002671264,0.43480417637825725,0.49819297869553064,0.6595944483965129,0.6235806760114344,0.4712908084297034,0.7460185961581808,0.46529578189528525,0.47596092448803173,0.5910973377474925,0.5986103575296731,1.1029219647517887,0.574175848456874,1.6279732066328785,1.120176819562185,0.7543019013351563,0.6794795165230066,0.5923820258415512,0.5759086576445629,0.5067072556464673,0.4827121855650495,0.4754793601479617,0.4599986672108175,0.5643357362006773,0.6887260336521783,1.1466431898601148,1.7427126742677703,1.2614664896619623,0.8913219569594767,0.6225129202507146,0.6296131056875938,0.5653991106636688,0.530941990490538,0.5066830787053976,0.5374502313649636,0.5150414869397288,0.5435226296997493,0.5485684785402686,0.6828729737802562,0.5914744124726734,0.6948945106326194,0.6698380421225248,0.7385066701027347,0.5767658546426235,0.562492697551887,0.5061732765224624,0.5153143794254338,0.530539090015009,0.5752270758767076,0.6206855043462756,0.8753553596121055,0.64659130065177,0.6727244505541637,0.5380905350133299,0.5060605184909055,0.5300353287504271,0.5403122202970304,0.6055041228432263,0.6218618573909731,0.607733519458323,1.1975300883885023,1.5258798007435894,1.024522105663722,1.3647392116752,1.3804930476854487,0.8757633446042983,0.7893334629663964,0.6610429085044318,0.6853918906576082,0.8531577889708579,0.7502593923352693,0.6760082660124698,1.0702214950794735,1.086098916318312,1.3565331590831222,1.0631855285269498,0.9514504233397212,1.3404639892757768,1.3907275571401827,1.0838280706420242,1.1939385386950396,1.713410482339514,1.3652373686800026,1.2389641432414613,1.58024175079598,1.740460870880559,1.326136918723884,1.4675960747058332,1.2328091425880863,1.6920105030360686,1.0585637527443947,1.1609802559994613,1.4299826583521076,1.3195514147855785,2.3482414277238273,1.6944070056950244,2.309781550853356,1.7594347951274927,1.8057097632751407,1.7984223334538354,1.6784598189137565,1.4362010898944784,1.2112864229283065,1.3155486461836912,1.0697219374722913,1.0501342517556504,0.8967398290192778,1.1240338670439791,0.7903697398318835,0.8187634839879354,0.8653325894987381,0.7373619816324376,1.0718811514905697,1.2675041929612232,1.5504749066044312,1.8281039136382329,2.2089338319963265,2.1940736865319734,1.8071884846894075,2.0441830060638626,2.331425541077453,2.0691924605779315,1.966292626439139,2.4193282338824553,2.518634196218029,2.125321598601627,2.3014448254033875,2.6127486613137174,2.451887539090224,2.218879334858632,2.3547093327482833,2.0160910559708456,2.0770271679451264,1.9572577496463324,1.877804289923225,1.7644708483944234,1.4808367298920364,1.46676677859113,1.3410882744807666,1.235074735928278,0.9828115370710205,1.0506884095713303,1.019718320307257,0.8701878077648899,0.7958438916687942,0.834208980923456,1.0789243814930858,0.9266947689102009,0.9815155622561044,1.214007698887366,1.4234241076022893,1.2521716673713315,1.0781409321343802,0.9146435218045558,0.9106304739856987,1.1282216351465402,1.0007660536403835,1.10447800747006,1.0618440823542028,0.846821576529458,0.6540398138165807,0.5497063772903136,0.5614944145022702,1.2619412244244057,0.6405601338745609,0.9550721030371419,1.7645140993106772,0.6410774789461298,1.010929141268743,1.196080339015294,0.7089532919314797,2.1873536318896014,2.427642334841994,1.5968008362086437,1.936199466122784,1.8030482829150392,3.8347397132683003],[2.1954384527147344,1.118235076401797,0.857286612888629,0.5734833721626595,0.6375476177857677,0.6880289559303525,0.5951842529440593,0.6792146581759557,0.6215561474952788,0.565339950269084,0.5838168544770893,0.7151060634410562,0.6265969335870786,0.5993384503320277,0.779829649417539,0.7396813902556926,0.7592272442908381,0.8784150105593843,0.992977676731577,0.9410747084353114,1.0588080183107376,1.0196724854788377,1.2516953024295507,1.4315048135773594,0.988206090236767,0.9995304787018302,0.885770136875185,0.7979434914172231,0.7848916041205702,0.7568842651050106,0.842545470990855,0.7873036329377591,0.9187304741821694,0.9266892560121747,0.8367759313198687,0.8220948938433299,0.7924044590222782,0.8167494798431598,0.7763652410066075,0.7836757564075023,0.9027755758246246,0.9709324742844185,0.9526035707048593,1.0329147498237046,1.4493598053291843,1.627736968939326,1.6914912886638573,1.2507006308610626,2.2192007854916236,1.7485660586793872,1.3339742644669597,1.3599773738100376,1.1689562375049556,1.068995795092619,1.2260279509132148,0.9425335020574691,0.9483803804614271,0.9588543059494514,1.0829169787946324,1.1625135992407365,1.06664541544734,1.1541441325579453,1.1001877870945815,1.4381581907226213,1.1093913064569227,1.0043633638157916,1.2785609714336261,1.1175507564360296,1.281484849822292,1.118298071994349,1.3622058869233165,1.8066254975565545,1.2888336464743329,1.4213278669884302,1.0992596912287715,1.478362505347011,1.0630545079700926,1.0127201074245515,0.9455615125263227,0.9289208256013657,0.894652182471534,0.8367289368849197,0.9624259283411901,0.8609751667500121,0.7418629994477532,0.7541696344270211,0.8108090040329956,0.8688686673331876,0.8694177938290971,0.9642677118246474,0.9808028441610133,1.0267412625752055,0.9676047000418323,0.9252860308599508,0.8586057358392639,0.9193279424784434,0.9374840278578384,0.8027318296128811,0.7900282564097635,1.1057512263202147,0.8262632579081095,0.938013298130179,0.8123885932279259,0.8275443955389861,0.8083422564167058,0.7425109998929241,1.0144364342104828,0.837083927031892,0.8224050174549614,0.9085674045615355,0.754391492245494,0.6557114579758585,0.615611391068845,0.5911442893544119,0.6064589552220011,0.6311177891648537,0.782090665315913,0.8664177636558099,1.0508735765627009,0.9988537004460407,0.8808129208845981,0.7794292182352903,0.7755301876292546,0.5450688362465878,0.5359595763346571,0.5479216793087061,0.6517023923437177,0.6069264519062116,0.6497701479474115,0.6945845303221485,0.7754732302365024,0.7748246028787609,0.6538573664629422,0.9587537065668338,0.6356171766231328,0.6513734808842584,0.7471684648903106,0.7579651140324384,1.1297020233894866,0.7198362582895408,1.728566812265199,1.1729164452452283,0.8648375301629304,0.8130270309745131,0.7351097316098758,0.7340662761615647,0.6552088571965193,0.6369938413428533,0.6472926040989057,0.6468585829925224,0.7495989226191027,0.8582955302562398,1.2919246934289583,1.8508148478342257,1.3646620139555272,1.0241261715931946,0.7660962553407729,0.7957014521418996,0.7224286951224342,0.720946848055416,0.6768080595121857,0.7001094561517304,0.6818800585981065,0.6975197102183444,0.707453455166819,0.7933452205188266,0.7337092416355538,0.7997310826464702,0.758358121578575,0.8388215214264645,0.7191181972305994,0.7174639307797763,0.6749263472670167,0.6848961984593586,0.6989096597618933,0.7358275374881045,0.7705474406313786,0.9985742529066242,0.8016315911579313,0.8199261970607211,0.7180769104651965,0.7007327012615717,0.7154315915888826,0.7087988884525221,0.7327861785439626,0.7527569251347751,0.7602449745051169,1.2351880463350062,1.5737763992443388,1.0540079426384936,1.4130475389138393,1.442373531209245,0.9580729815689083,0.8704048042685767,0.7997113321863657,0.8071802846119163,0.9252068628810618,0.8899579668000547,0.8475048525603084,1.136897584749255,1.2171506896356508,1.462754749167177,1.1672854876303198,1.0888376196911853,1.4711807874595635,1.4916041812249465,1.1896284139328819,1.3259653546635544,1.820822239671664,1.4545061256598835,1.3536441088736304,1.689407821643405,1.8144797171529297,1.4130147819538634,1.5786137825420028,1.3592856400641,1.8184403446577284,1.1996435584597394,1.3026551766971377,1.577053907371193,1.4866407649179616,2.502608533345791,1.868227462753412,2.4666368979583395,1.9203650902646343,1.9926126795308887,1.962378530299715,1.8722260453987565,1.6264233968185922,1.388437674238864,1.482313054053243,1.2502766210808507,1.2158532165707372,1.0719544952327782,1.285191756178527,0.9344706863126107,0.9626405587178483,0.9660347207410804,0.911144965309108,1.2164174892758186,1.4215175314758346,1.6904457217670255,1.971994485180129,2.3588988056980416,2.3294022310911675,1.9240614644817486,2.1898048169465296,2.4625409834029335,2.1709541405213577,2.0903570352478336,2.5476095989591503,2.6227816999611524,2.2157676072119505,2.420820003323075,2.724561026338757,2.5363949876316982,2.320662218716298,2.477863012069762,2.147505591338297,2.223422391509426,2.094755254893142,2.0429090726921046,1.9263774885178102,1.6157872432925346,1.614776444036538,1.4996972487388278,1.3872661213775097,1.1424144191383367,1.2304051165491647,1.178551211661416,1.0333670468737457,0.9681161312352509,1.018365392050204,1.1867970381145916,1.0609652984450304,1.1140628641615684,1.3147586919440004,1.5186857067967214,1.3516031491098777,1.2097103905245328,1.0604637434582993,1.0598303761024308,1.258729565132854,1.1386290668896581,1.2265220572022255,1.1873082896422011,0.9769241248318212,0.8140793327644813,0.7594240962697347,0.7272062398075448,1.3311598740030828,0.8857694985311848,1.1921644120543013,1.816941546584553,0.8664001094115834,1.1667322492312742,1.351997523543101,0.9356265526932278,2.2573408486548963,2.5869149608914106,1.6871060439689936,1.997931612840662,1.9557379270133692,4.048634079093987],[2.144645550642674,1.0374836204156646,0.730967463854969,0.444699951294753,0.5272258986959648,0.5634421404116876,0.4500161287348444,0.523601163038456,0.4608460744366591,0.4105619374300425,0.44018510467612165,0.6021387597765632,0.49665614157043214,0.49429612585805244,0.7066990825173591,0.6537484450602844,0.6991062593249847,0.8195399623027525,0.9511945486749327,0.8955063100753039,1.0129731638658814,0.9699950458168974,1.21610729070002,1.403248850958749,0.9569746745059979,0.9690036804684307,0.8530111073442584,0.754344508543743,0.7191128348762821,0.6773411795392373,0.7767517730196203,0.7074058515253543,0.8658762401431173,0.8418858774860302,0.7436431224120338,0.7400966609580335,0.7055609262825476,0.7368723066617425,0.6977223700172939,0.7019851572069961,0.8429986324920744,0.8966803391569247,0.8940499531822742,0.9660505385000363,1.3862438891598383,1.5709954493595062,1.6288800667795567,1.2016688098324426,2.1692966617161185,1.6857667290746496,1.2717186695132812,1.3325956803552466,1.1182104704567906,1.0359628577210633,1.171742100021161,0.8939715157228868,0.9043403247181803,0.9091081439759995,1.031769189321271,1.1436768122973149,1.02356774853408,1.0893421907082355,1.0451522349249553,1.3645552142633621,1.0531821648048727,0.9621583307268644,1.241509232962555,1.0613284373590088,1.2476802967062752,1.0762829899584225,1.3419121766479714,1.7774552247907944,1.2501538977502584,1.3780341201536495,1.0419191006269863,1.436574561538202,0.9938823244241937,0.9315920471724234,0.8689287631152826,0.8522201215345843,0.8147404372975962,0.7599943350390624,0.8812399424956878,0.792639859506341,0.6632557283540794,0.6729927310214386,0.7316419931429812,0.7825825034245648,0.7860127548882948,0.887584851303391,0.9040833571003059,0.9460109716963699,0.8784726451179101,0.8384317579056739,0.777895456922741,0.8317946443040848,0.8259649926167227,0.7243987519057458,0.7099144042024988,1.0845130789174084,0.7418541511972836,0.8465562348908371,0.7212627783480586,0.721426432093942,0.6921538742793586,0.6283743810425063,0.9139313692691752,0.6988364095311921,0.679614954396116,0.8218697073444551,0.6089154881755886,0.5401233714791817,0.47881187972429096,0.5011370166362645,0.5265697789458131,0.5770823179583379,0.7477457307978714,0.8545765495533856,1.0290187595513378,0.9821900029040329,0.8563079811685192,0.738808499275548,0.7115232186076712,0.4753283808303179,0.4343359930486841,0.4305953408798067,0.5776144633800498,0.49352251904762023,0.5159070769822415,0.5815886448294599,0.7050108996937609,0.6760791739373045,0.5561334531841826,0.8588592590291763,0.5450550286057686,0.5609054847803077,0.6293221636927937,0.702641201512685,1.0809372206343817,0.6814888932783015,1.7603938634932252,1.1621779818033475,0.8260919413400714,0.7942994337724553,0.6987670791161459,0.6671517072559159,0.5935391865287719,0.5677087387646625,0.5647418723130629,0.5354083933323287,0.6299209928236487,0.7702904280058579,1.2208353963000598,1.8746828180347508,1.3875752682735971,0.9737586353350632,0.695063043220095,0.7058994077128086,0.6345385709422215,0.6102683281210618,0.5963972416138194,0.6203877609044871,0.6183625154934252,0.6287196586284921,0.6331424099638651,0.7608923573608972,0.6797462391656428,0.760196258252507,0.7130642538258081,0.7922460404156794,0.6416553980897208,0.6305044461867794,0.6101695532363556,0.6055434878610351,0.6152055984937932,0.6509359499290911,0.6741066473532714,0.9080887856485325,0.7108469393801158,0.7225966759654644,0.6248888907199771,0.6072929433283675,0.6249129992655793,0.6284888558934348,0.6747798177347396,0.6939541038152648,0.6869771404260542,1.214697919082111,1.5257655704265045,1.0204864127374569,1.3523545221093582,1.3813372201355891,0.8697500537346831,0.7792277129117856,0.7008738843925897,0.7045000412769049,0.8469411242402748,0.7972616073824553,0.7383406464810741,1.0991541189513045,1.1511308818772794,1.4311792747926761,1.123903697304229,1.0066849869389474,1.4027204281437795,1.4459600353367885,1.1146141332905155,1.2358356386192408,1.7649333791186963,1.3990052719372925,1.2646705806346132,1.6095723207077646,1.7630398090480064,1.3459369715323712,1.4747897272850738,1.2408417268582574,1.7161219635663134,1.0686829900402848,1.1903038461127309,1.4536562008076515,1.355037921584441,2.481378536338923,1.744396691514832,2.344618806590111,1.8088373285201513,1.8826599760549632,1.8790218250336712,1.7820353198189007,1.516398831277148,1.2904695268930733,1.382522610398574,1.1504188494191445,1.1022183229001166,0.9572405607206245,1.1947535900080541,0.8152584158804425,0.8432951787396069,0.9147342111419641,0.7906511447890411,1.1264468580037827,1.355977046469999,1.6264823612735644,1.929711670721982,2.3004145001356378,2.29505317662571,1.8810881010627043,2.1334117839009106,2.435415927236938,2.162168467070223,2.041966982405408,2.4973537055043944,2.590245841297172,2.1719612749615496,2.3600005859563713,2.6716456074190145,2.4993230260488075,2.2622351560080154,2.400569261933778,2.063662217461647,2.1415756120658487,2.0290631898024634,1.9560893835411173,1.826974090265012,1.5349103007846763,1.5339230896814655,1.3969424564918227,1.2809019004837041,1.0378705423437327,1.1172522494602644,1.0373026206748643,0.900879301530988,0.8378708330689346,0.8678820020328191,1.0639805699503675,0.9290165699045086,0.9936512458192529,1.22551427627875,1.4419338135870965,1.2447577093945628,1.0788026915407545,0.9325669333387191,0.9372177143640134,1.1347370922637388,1.0051544274742572,1.0977463172503201,1.058264865339755,0.8592800452032694,0.7136908825372305,0.6285600019254948,0.6452369745397705,1.300959376519821,0.7617964310764543,1.054191201822947,1.7477333474578243,0.7442954180228794,1.0653944447028363,1.2710971506196374,0.8223192186775755,2.2848988606905096,2.6141437344583935,1.6781045569313635,1.9732699055617233,1.976883967715953,4.2318608477588535],[2.10276105348232,0.9915676137869076,0.6578463455569444,0.33996457608500913,0.4287074765712521,0.46896978981861914,0.3722665205799857,0.4510928700274066,0.40371376465727987,0.3635695532013159,0.4061493065390473,0.564021727791597,0.45348818448719497,0.43495251947979896,0.6389068815694017,0.6099563682817141,0.6522324593143572,0.7757603241513837,0.9237950749054258,0.8584127538913442,0.9856368579484523,0.9465210933430506,1.198986063097156,1.3939934850747968,0.9391774577506594,0.9498751086049586,0.827481537146036,0.7163045593420658,0.668217231807391,0.6248659673159994,0.7357471319029562,0.6639193180471119,0.8534197791187422,0.8116121576993887,0.704103926151107,0.7013382671498638,0.6511300807838547,0.6918678567108724,0.655193599449133,0.6545892483307195,0.8133617765741289,0.8645645299800845,0.8539115052337105,0.948772998627137,1.4058343226440344,1.5713719908768982,1.6629499955890064,1.2201228530328663,2.11173938494537,1.6497676054422323,1.277888499459417,1.2702755144214577,1.055492485163024,1.0249529378265652,1.1330062763862376,0.8537587263332473,0.8739113585791082,0.8740781472143903,1.0007018215515995,1.1285469497767708,0.9898589704170919,1.0522342284554038,0.9995125751901084,1.3219126039524751,1.0237847529432202,0.9230710696180472,1.1919696050073083,1.0151908234026363,1.2192021634210441,1.022601131912612,1.302574142903542,1.7216684610102142,1.1973464493712844,1.3487183869718118,1.0029519665270703,1.4126900648904177,0.9568797041072825,0.8944268358717826,0.8305274555699715,0.8005501501104751,0.7544629189889526,0.7133988374544121,0.8647984354671119,0.7264425985608081,0.6055078714588464,0.623138133919643,0.6771642424597908,0.7301140059591675,0.7428572859459782,0.854832122061452,0.8656936183588184,0.9092648433078953,0.8384778102822273,0.8132618036712965,0.736448135019628,0.7949028074460759,0.7604459613168654,0.700521033996591,0.6696519883697568,1.0537378506045114,0.6905435841333897,0.7802726929875098,0.6422159216814316,0.6326844960362947,0.5998399499867336,0.5491565051237693,0.7904611964235165,0.59365172856335,0.5730009375176969,0.7415249860845978,0.5069092522730221,0.43620672456358156,0.40493339886975943,0.4383526567164021,0.4746246386685872,0.5390376515545794,0.7162758127806111,0.8557381827621316,1.0132353442805735,0.9426570528533393,0.834272136341316,0.7113336045033005,0.6963091157095064,0.41987075227373566,0.37925557222209505,0.3814814072596308,0.5281282459462997,0.4034301977034161,0.42713384708898955,0.48180986884030746,0.6475192079986597,0.575172633125954,0.4565719866684597,0.760529715891823,0.46801965865474054,0.48232105302513434,0.5613466458280095,0.6662214626389641,1.0505929555599067,0.6470366506815731,1.7572195312730345,1.2055717844565614,0.8490448778966027,0.7994451302016019,0.6774112713469708,0.627247077079042,0.5546251477325618,0.5199226131569836,0.49351101901207045,0.46504087004162936,0.5451509510394364,0.7100592862451238,1.1378823852713091,1.8254829244208792,1.4077402774101604,0.9314016526874037,0.6363420564817442,0.6249243724642932,0.581288622439371,0.5263390815666681,0.5286323311424451,0.5802894585166262,0.5659466615257346,0.5859416058419915,0.6156647500500426,0.7286737292258438,0.641286177166833,0.7446738342179033,0.6789647372602879,0.7566418027959954,0.6075558015002371,0.5917660403831387,0.5679009240447309,0.5431645119889801,0.5526460118616346,0.5754673637396693,0.6132840763241583,0.8721263976385468,0.6479151557884997,0.6582355902225536,0.5614814172958336,0.5293853861731406,0.5540321478738408,0.5740212586144146,0.6322333232049647,0.6614023710449616,0.6597806708397709,1.2505756025496164,1.5468596086689692,1.0305838743097284,1.365635046644107,1.425659866145044,0.895098757054882,0.786525245813802,0.6585946666864194,0.6531237788075603,0.8065577108519763,0.6979872765666476,0.6217947870336865,1.0524941625413213,1.0406625651081027,1.3468013849448288,1.0549736874960856,0.9006836212610183,1.292620700882861,1.3729619645234328,1.0338435107376358,1.131089793148552,1.665350201523177,1.3336711373188548,1.1778698768071658,1.5159865511743627,1.7047549673271813,1.2937550995942093,1.397376404116216,1.1425286085600148,1.5983991218353695,0.9455349131428951,1.0639984375780076,1.3207319079196433,1.2147864145247305,2.31091816092504,1.5963838956518204,2.1943888884667917,1.6740924616948816,1.722192398683493,1.723403062316626,1.616958620540086,1.3386659553457392,1.1286711733557535,1.2297802544504288,0.9758198813175142,0.9247174800763976,0.7952306551783995,1.0893482353820827,0.6823899554031123,0.7249749825794323,0.8391593072851852,0.6585151650366248,1.0125528784483706,1.2347551001022483,1.4966157908815854,1.8240822199136413,2.1823464912998416,2.2043881310003552,1.7842629808655888,2.009076876392286,2.3353272872223214,2.0911784794772426,1.941068924612808,2.3867521877875406,2.5034216005688057,2.090744023209452,2.241073904523226,2.5533335102971257,2.406320342271216,2.145252311720172,2.2546326452240906,1.921148365146146,1.9879073625654657,1.8899506637721186,1.7988395984412922,1.6621740103393252,1.4004543791449178,1.3781020899242185,1.234286243783783,1.1291224857852655,0.8869067104825666,0.9437952164992468,0.8871045138902424,0.7607929349256115,0.7015134492442401,0.7135838188583884,0.9828328076113748,0.8513930043698633,0.9239567896155912,1.202313041089536,1.4256734717483301,1.1207416086966309,0.9993135013179698,0.8279024898181733,0.843508304945874,1.06950937674013,0.9365956372621624,1.0555612060196002,1.0224133637991404,0.7589902409582001,0.6368215773672018,0.5229601088939567,0.5829716993058361,1.281520042588651,0.6476099364733038,0.9266847068245068,1.6998701831018506,0.6562472362765971,0.9559416663722117,1.1743739842463845,0.763588208360824,2.251348117433499,2.5342042522998356,1.6850776796756453,1.8923592710509058,1.9075837247761382,4.230758121075825],[2.0608708720130147,0.9752809753458523,0.6573297925621565,0.3274968170504324,0.410898353346152,0.44716691325098895,0.3518558123461954,0.41422507641377637,0.3669389762729077,0.33544561516011306,0.370859776236397,0.5108163300804507,0.4142532398671485,0.43565190766048545,0.629283614968565,0.5715119482745303,0.648003012378828,0.7572052375260562,0.8963969994587487,0.8256317609116315,0.9382914491085153,0.900287422976162,1.1245577856178037,1.3113829278706626,0.8986171180345802,0.9118727735896665,0.7950558382929496,0.7019761600925527,0.6452660155566216,0.5903941057746981,0.7015782942451609,0.5985425584942998,0.7672733267894112,0.7335933370018812,0.6355975306383733,0.6565356003790683,0.5997664376944232,0.6516598625213933,0.6254691417749764,0.614213253579509,0.7962219963153746,0.827597070486434,0.810501030689219,0.9069929887641278,1.3397065808026494,1.5475216732824142,1.5930367935867351,1.153643508445665,2.1467366507744945,1.697872799873942,1.2332740446475166,1.2807914663615565,1.0443413385537126,1.0001530839897377,1.0851298698436789,0.7968119665174068,0.8262183204144831,0.8238866194462335,0.9446572459800664,1.0954787391684984,0.9396071268869419,0.9914889643524932,0.9291780354302307,1.2434692402159115,0.9679739909766486,0.8766364798470033,1.1499305260063877,0.9772386948915146,1.1785355418384067,1.0051584262056805,1.292387764055413,1.681168795635295,1.1700374352786531,1.2915786373816038,0.9453305617526655,1.3506658921214139,0.8868341163990168,0.8144170270847944,0.7564043285061465,0.7405056783558254,0.6944614904731359,0.6673266854137663,0.8164347533594176,0.6660295290131806,0.5635539524495213,0.5809208996285582,0.6317741166289271,0.6772206588833724,0.6917100338111334,0.7767127190355841,0.8016560060404216,0.8653092129690659,0.7770166339660676,0.7300758031890607,0.6777712226375013,0.7351115199868525,0.7245516592294611,0.6191429247867587,0.5870999526117155,0.9525092597729018,0.598085721922789,0.696790680715312,0.5553357372666057,0.5634603817810065,0.5386254591573101,0.4945198311416455,0.7047604393941727,0.5341681753850052,0.5297138491517259,0.6941757237912833,0.46186363165998723,0.39932914651521995,0.3718174608950892,0.42901452236049614,0.4717135391921825,0.541271961044931,0.7143541730221187,0.8202090793955509,0.9828922622025876,0.9372122097422202,0.8352334460509447,0.7206756605009684,0.6966454000133502,0.42222052407145727,0.37683804705947477,0.38007381467541784,0.5204996339311347,0.3856617092367494,0.4047042499092555,0.443711095616623,0.6318356917980226,0.5424255036541745,0.43339405661583813,0.7283707501355065,0.4530804431853562,0.4713908340916236,0.5543183425132995,0.6611023141297998,1.0516301757143092,0.6398993043726482,1.7478392604563422,1.1682518480589656,0.8265074862474714,0.7856187330483839,0.6663704620953645,0.6179086764832218,0.5487418759977207,0.49912303633529925,0.46156703882703104,0.42794152233219823,0.4975223495451659,0.661253418128914,1.050120447501126,1.7486818259821015,1.3674968877883606,0.8360830942513026,0.559010475700739,0.5542926204745309,0.5193787013384265,0.48296660985229994,0.5039611662490846,0.5540472995061538,0.5567371865875654,0.5648098084647492,0.6032941858842152,0.7203488134751441,0.6311237127260358,0.7271574604187891,0.669429622794414,0.7477364825766813,0.6006332982482462,0.5815293402219177,0.5573524264180547,0.5194291696839974,0.5149952884850982,0.5212334773230989,0.5617574612682663,0.8108021082940025,0.5983873087038886,0.6101437854006784,0.5240488995439779,0.4901905310548734,0.5230274323720654,0.5540086956080684,0.6202643639010623,0.6521550909659356,0.6420822900995121,1.227828873868904,1.529657590857974,1.0318043103384076,1.3478523556838276,1.411148901748917,0.8866058561378625,0.7794385727415785,0.6482483130257413,0.6382799905176552,0.7994022459768138,0.6733724704551076,0.5939184611467585,1.0252208433160965,0.9885929259063824,1.2914231954484463,1.0135780344007101,0.8593097290123429,1.2283277607518288,1.3203934590229487,1.0005210122402526,1.0831102580716434,1.5913285690219368,1.2925706262848071,1.1406345899747412,1.45386566806371,1.6521922965286278,1.2707088488501441,1.3512952749512184,1.1045151973943979,1.5384840625197418,0.9049768545797396,1.0149104552957915,1.2475705243438457,1.1436290577280177,2.260338416605001,1.526155435857155,2.0941917665826337,1.5878217936278785,1.6206736285238506,1.6292196852462002,1.5219888145856728,1.2494734935895764,1.0576348001039806,1.160832837672457,0.9213294560969151,0.8890612608686236,0.7524176947577943,1.0641789886650488,0.662811910407846,0.6995699956376177,0.8248588797189839,0.6235674635462733,0.9615661700802521,1.1719987077371032,1.424768632093214,1.7400990904221767,2.073678503393653,2.1077437743356366,1.7029553655457101,1.9036563370529582,2.2227337362888693,2.0062808431698946,1.8543365418070317,2.2740489745130943,2.3999034166809428,2.0084969725309394,2.1253563503225283,2.420047976704769,2.300807305501544,2.039367107081431,2.124983926658598,1.813733732298597,1.868038225528299,1.785464636125921,1.6917300474922825,1.5519791537205025,1.319771076353763,1.292628217723256,1.151013668153353,1.060136723766129,0.8344346032442778,0.8777056932519786,0.8371975744601383,0.7397697393695972,0.6816766659058635,0.6994250364206813,0.9553032025698044,0.8441610332694282,0.9198414117334314,1.2005101551630661,1.4296509461661744,1.081655165806018,0.9848483261190795,0.8077493580798469,0.8302973418425071,1.0663359106451205,0.9313294730473415,1.046195990908405,1.0285770611758898,0.7402217237609783,0.6215757631105987,0.5076925647012337,0.5712046732374354,1.2578414241497942,0.6125991790952482,0.8924492706504016,1.695784764326355,0.6390659282723041,0.9358398889864947,1.1648876671005837,0.7775282066249262,2.2331590166347266,2.494386332103524,1.7240412400069076,1.860503518058299,1.9375033682381733,4.210042375658657],[2.0827040768799745,1.0180624185129963,0.7500927943191938,0.40328571436710453,0.5137912456453942,0.5642767095830237,0.4772815236616046,0.5511386739368418,0.5097465309606092,0.4356599272022949,0.4721388758245535,0.6319093392352114,0.5214990318341419,0.49956980459116923,0.6880927309172266,0.6513590661519602,0.7136927651883657,0.8498421393480212,1.0114039908685322,0.9268987002242137,1.0569148212970982,1.0132537571246725,1.2524832171264153,1.4288100628993659,1.0082025386691995,1.0200663306817448,0.8942270901618601,0.7935975431352943,0.7367289798567651,0.6685973650637,0.7713846047638647,0.6874236078867348,0.8560710902008957,0.804421572540735,0.7180306801813194,0.737102177457029,0.6856943803353428,0.7382846245304544,0.7064425739924362,0.7069104110946824,0.8849491326995137,0.9199227499500766,0.9008992974832295,0.9847605819096646,1.4055199485729593,1.574364070827939,1.6314854053205115,1.240745619854389,2.136294890671223,1.648170365408453,1.3111452504768664,1.2706254748703107,1.0876691472944289,1.0405972262298713,1.1597982401460702,0.8971874832130841,0.9167204051546153,0.9092323427314043,1.0306821523341592,1.1601058732782707,1.0363598397261222,1.093601789516961,1.0276935476469387,1.3576130300815832,1.0726181478604069,0.9759543265304079,1.2514026076050746,1.080603101866252,1.2809755668227985,1.1106100128401517,1.4066245124203216,1.8325532211289206,1.2790502986918455,1.3794493689111569,1.0428206050841822,1.4058904746700018,0.9796581463303621,0.8889240144192088,0.8410471052597204,0.8246576732653496,0.7765516872975357,0.7400468326761258,0.8750578628073721,0.7667081909272305,0.6570127931287065,0.6661893468535904,0.7191959929437135,0.7606071199109481,0.7733760725130143,0.8508275738467753,0.8747476107952193,0.9153409187481983,0.8385421349745553,0.7988733691924274,0.7454503469418247,0.7903074793500476,0.7665662560865861,0.7189797041740759,0.7186974013528449,1.1208583230493412,0.7196150288490468,0.8117116728995258,0.6861936727398745,0.6838971153652526,0.6529807180356304,0.6111529163481632,0.8051653005006563,0.6573913215395192,0.6389109303778483,0.7877734445049679,0.5907453384266309,0.5296107763141447,0.49226708241345346,0.48882079160573794,0.5214450292738266,0.5873275013493712,0.7754810900462357,0.9219484024390325,1.094036434660614,1.0048426816886569,0.8950546123756195,0.770291830456207,0.7488249206520637,0.4830540883115966,0.44767287472961736,0.457530078293603,0.6221173707082248,0.4989497850516266,0.5328841694200666,0.5580466987500257,0.7066239647360947,0.635110359361059,0.5374567685238764,0.814429165013447,0.5398610212572647,0.5578565454527445,0.5894452902140674,0.7578237566069856,1.0806043149574376,0.7021014575050388,1.7913961820271302,1.168459925851699,0.8979574050040484,0.8513787624864565,0.7477622806261898,0.6862482595957277,0.6169467750799377,0.5791370890540309,0.5616647051095897,0.5305318282896697,0.6180389117996876,0.7919182183426242,1.1629991474428352,1.822252468256279,1.5141135863698145,0.975864445275068,0.6867355642987952,0.681303584610167,0.6317813681151526,0.595906023555267,0.5963243822918236,0.6377676919936758,0.6340503025368768,0.6525782608741849,0.6693978620921133,0.774355844456023,0.6967795008432286,0.7740143278494922,0.7105856207223331,0.7944960195360983,0.653489162913934,0.6453175945537414,0.6250358997933781,0.614093046961783,0.6157464189948731,0.6320425381526362,0.6551466474693646,0.8908992978451473,0.6953139187009828,0.703544480875696,0.6255430594009348,0.5944619726078239,0.624261847301142,0.63294740218076,0.6787436221861478,0.7041781336672349,0.716527430550426,1.3051633117108608,1.5591569829163607,1.046977736786883,1.3643020787057112,1.4696115886678474,0.9109040653099705,0.8021150844357714,0.7055425711037125,0.6890012126218825,0.8293817331174566,0.7256700855974646,0.6634281320880674,1.0620577235439124,1.062020506487106,1.358751444909281,1.0787844448980328,0.9330529570375067,1.297925222636985,1.3759341433174777,1.0591951943427214,1.1530741225081218,1.6450063011386,1.33657528990247,1.1945159496895204,1.502633837037293,1.6834217656235235,1.3069167348973005,1.392138727977157,1.1584228427011172,1.5898669639435072,0.9578125016385892,1.0745074346121637,1.3038167155370648,1.2087682211859092,2.36952283708928,1.6094631829739316,2.137542101316485,1.6659813605032745,1.7242042632742363,1.718931548081047,1.6299368161213383,1.3462847489085599,1.1499770320539306,1.2453977162229468,1.010949989804688,0.9602854807929369,0.8287297131591095,1.1200954553314217,0.7144158891405221,0.7503536120477337,0.8664946535437111,0.7107171233463624,1.0413464742014988,1.2564238392417966,1.5048796947601637,1.8193089879719468,2.155178046628875,2.1856974191915373,1.7665973023882244,1.9784073954243873,2.3012093412447014,2.0737058100904275,1.9227842163073818,2.339748374336321,2.454031956674974,2.0526905777575153,2.180359189844304,2.4681415129872697,2.3295527591406207,2.0813425382937307,2.1727889482398206,1.8700306137249008,1.937277689495331,1.8611321691144367,1.7778610203500806,1.6279489154413018,1.3900071872383752,1.374364872216738,1.2334724323545014,1.1360334403871175,0.9210414895599268,0.9717481050767134,0.9046133163358416,0.8229156569913388,0.758086858495303,0.787336621556783,0.987040867870425,0.8902408083737549,0.9613694687844585,1.2375639854359715,1.4603871337856078,1.0913705153153668,1.0161183600523818,0.8631730952390297,0.9013528510666521,1.1067045728823817,0.9698581269258415,1.0632044325068166,1.0521801978397392,0.7979006036646449,0.6983620321615899,0.6039715791374682,0.6542081198816219,1.324864429789494,0.7344600819214172,0.9724496973784394,1.6122387309928694,0.7705293052820694,0.9711767640248076,1.1788095212761844,0.8436729623986835,2.1913667172238065,2.5333415324904576,1.7928309154479505,1.9000863248236528,2.056624029452564,4.371668390359689],[2.110805613345682,1.1024793652674332,0.8461396289959625,0.5196966005799529,0.5819948519738611,0.6081535034594099,0.5278496246482142,0.585997874136249,0.5519621033903211,0.4567982331802189,0.47630573439670043,0.5977869142717935,0.5061501668856209,0.5500049728700118,0.7244835409178702,0.6529848838426191,0.7541619601054457,0.8848841400770027,1.0216151447704647,0.9477698649263345,1.0444188723158578,0.9890755278953712,1.1987951361137825,1.3612491657067627,1.0027202998769322,1.0245001225125578,0.900187084084285,0.8240166399085442,0.7609524081077071,0.6831037437589564,0.7738284907597526,0.6418399293739931,0.7747988732973775,0.7600896324716391,0.6930960381503812,0.7464246804102181,0.6717754316587652,0.7563006962308866,0.7309410550885648,0.7124356573126064,0.8892997261025242,0.9309387766151419,0.9177940414382155,0.9791525159319064,1.4056726292399515,1.5879633348308477,1.6110022716866081,1.2017243545518765,2.1751786308070824,1.704729831052729,1.3104498859269342,1.3310365551046108,1.1417417542760855,1.0990814917858214,1.1722925301209615,0.8924283439645877,0.9073450715106223,0.9161473049853956,1.0301410845402386,1.1325182368903692,1.0208027091903453,1.0757717281074166,1.0219427761731237,1.2944194422087851,1.0457042234335938,0.9707009191509721,1.2541921207263553,1.0842281780603271,1.3041420764051912,1.161034062230718,1.4406212850876077,1.8056861940360291,1.3145288106590203,1.3719278006997337,1.0485391883479283,1.3804529069259195,0.974436389427012,0.8803844159681514,0.825856545276951,0.8275879260314715,0.7630021688770318,0.7449436659475488,0.870560137693539,0.7481848903806538,0.6439542779205688,0.6626501863762482,0.7341034980948662,0.7429398456064368,0.7837515307403715,0.8319503150223058,0.8804327637826099,0.915749199515482,0.8356536334061524,0.758215958360842,0.7331304931131081,0.775026111660135,0.7753230761452096,0.6531517790543951,0.6490891203492101,1.0369905260803176,0.6407264496300723,0.7560144795625748,0.6129027315417898,0.6444821655227103,0.6215715889588876,0.5888826744159358,0.7730777488803777,0.6469105307853839,0.6541341473535576,0.795601182158105,0.6050387813374658,0.5326528523095962,0.511829687923716,0.5129104913917948,0.5524268279824962,0.629024312128292,0.8209958033094851,0.9166105509465505,1.107057820302442,1.028980004816406,0.9477996189134906,0.8181090609779001,0.8003072483293834,0.527446254912523,0.47890337501444785,0.4956146226180513,0.6658977401707338,0.5176885886277871,0.5585093813998292,0.551283092127486,0.7165393935209978,0.6307979800291628,0.5431783729042304,0.8139289058509732,0.5532427413991859,0.5658564799340842,0.5936027604741785,0.7630701870576195,1.0650094034520374,0.7081812903879862,1.812029900641581,1.1601083467684163,0.8997129614356787,0.8705834284536655,0.7680715563220887,0.7141583389324381,0.650527940451696,0.5955537134098315,0.5652464236108691,0.5397004040515769,0.620894394566776,0.7974183075747124,1.1269608346659254,1.8082203775371053,1.5245304675382576,0.9289766035641873,0.6456942435134884,0.6436093451255209,0.5963868024917898,0.5783456636208825,0.5966312230317222,0.6410993129715333,0.6446705010313236,0.662789472516163,0.6829169927233355,0.7576438763228533,0.6939792444812913,0.7570792796492912,0.7025900804030962,0.7870152411969119,0.6687203978163148,0.6608092835453374,0.6380017462970967,0.6128323176462266,0.5988945111601909,0.6036827234766114,0.6358545042978996,0.8622766386042494,0.6716799059291353,0.669551827440487,0.6118606436232228,0.5689993178317984,0.5996012742934986,0.6182103352152772,0.6802662852002774,0.7167611083854245,0.7337256683488468,1.2848771508848067,1.5578915949532652,1.0553879042241847,1.3429956076038279,1.4457122291294686,0.8970103987770559,0.7950513871213747,0.7099562380513699,0.7094661791434216,0.850455455297386,0.751682966020048,0.7026821133889873,1.0652921380943896,1.0489713119406399,1.3325875155301437,1.0743924857852738,0.9468055498828121,1.26910431247442,1.359654305224486,1.077864287122184,1.1582007598016957,1.6017201141012254,1.3435769035712612,1.2159197428418937,1.4781351068878525,1.6566988002657448,1.3147658203653843,1.3832281491478604,1.1828752678067656,1.566319923349269,0.9941362924865577,1.0816798529341127,1.2765445150548536,1.1953847127025696,2.340804440463191,1.5695211636351687,2.0473759910736224,1.6223062421947176,1.6399581462627448,1.645605200302052,1.5517115331846867,1.2896399838623893,1.116274064243758,1.2302367062215667,1.0250001714296042,0.975238696252792,0.8533748612928002,1.142340124929005,0.7584131842100934,0.7994705275240306,0.8760653335334988,0.7430594304783337,1.0211974683884417,1.2253620907335736,1.4689962347054426,1.7633798185555654,2.080061190802844,2.104522953911855,1.7207755509641707,1.907074598960335,2.2176796049842924,2.010808564483311,1.854688020294306,2.250949523092573,2.3699264257013932,1.9870154558529223,2.087610061979278,2.356237313934436,2.2446037786222997,1.9864138492925498,2.0570574110280884,1.7830935961885577,1.8425990949989368,1.7789278956160777,1.697404725032395,1.5555673867127635,1.3486115691365714,1.317909442363562,1.194136068843335,1.1201063558200786,0.9277167897545896,0.9639471230516504,0.9321484578453306,0.8754414350470461,0.815025219102812,0.8558071703594964,1.032975016693469,0.9696481275088313,1.0466928787053127,1.3289882574553804,1.54064740967908,1.1394605422254913,1.1020501223293917,0.9351744272644535,0.9842275418193961,1.1900734839772815,1.0651091219262412,1.145350018221399,1.1350845798453044,0.8616800886809625,0.7706708440284694,0.6568724221666581,0.6902369713459224,1.3346223216987858,0.7587578226674258,0.9759983322800565,1.612985210234377,0.8207776385879517,1.0093511397448833,1.1920292962805097,0.8837931691812588,2.138589115708179,2.4462070424974987,1.829825340400367,1.8658957365260451,2.1031577340252903,4.2984349347611435],[1.915253993902584,0.9212020558522307,0.6253878026506858,0.3964143466813034,0.4646159780120711,0.4569166782285478,0.4042751781089676,0.4475785772748683,0.41984633430151236,0.36778879937070574,0.38803640834545344,0.5072464313491678,0.40605180374074756,0.40006827648471827,0.5452863244669909,0.5275624439223776,0.5925589441908723,0.680412848842234,0.8290352403185519,0.7650452453769166,0.8763755042896257,0.8510807304463173,1.0650655208827036,1.2781403588514095,0.8828585710512272,0.8899058034532517,0.7820422759105438,0.6719842641275726,0.5969088579677071,0.5552482070664312,0.632422704786237,0.5630653403255407,0.7649641391029091,0.7004332704054896,0.5869241062945905,0.6009446687724687,0.5618557231375217,0.6167832405466273,0.6077444144381131,0.6014073240604396,0.76297813249081,0.7776990848713997,0.7646244517323523,0.8873621549005838,1.3388648968719938,1.5560405618941013,1.6451721132780746,1.1660990848392465,2.106779629843201,1.7153830366849614,1.2383106999167053,1.2756006322835278,0.9897779050647437,1.0310223101080442,1.0253683088898131,0.7595764137543913,0.7972654681977825,0.7839114914569683,0.8891164556209395,1.1025729327540987,0.903467637387583,0.921593556092491,0.8638998578078668,1.1497551057362996,0.9034808474578592,0.8166245543379305,1.0557933240027197,0.8657407029625173,1.1082418527334075,0.883621489074948,1.1910844457348528,1.5287661463906654,1.0361086497603138,1.2270193638310487,0.8505206413998916,1.3428349468316285,0.8163966299722345,0.7550333839551944,0.6978058195062564,0.6927208000335914,0.6534611142920423,0.6399664257035981,0.8105577917760369,0.6347068579220014,0.5653187278853276,0.5608085262576226,0.6081926203931428,0.6415791788383547,0.641390385662933,0.7250618358156361,0.7290206646488636,0.8233234101148713,0.7335076289699891,0.7239702011610313,0.6395644724439062,0.7355361012002539,0.6408857325229892,0.6331567257931474,0.6076942710987259,0.9574184198583557,0.5893714912775537,0.6573847621925991,0.5290716133108188,0.5333022824644276,0.5051134033087488,0.48147762071801453,0.6418680414520881,0.5098820968547183,0.524375662376149,0.6817632430671892,0.4785804724714714,0.4224375239456525,0.4218062638080625,0.46058972684075855,0.48604783438659,0.5446326949498439,0.7026506817174782,0.835020597642342,0.9635148515380495,0.8885497460869514,0.8059714695634604,0.7077136156688214,0.6893295771083656,0.4456515615473724,0.4339004316903156,0.44709128470154996,0.5384085760450884,0.4289223931676134,0.4550147303562955,0.46066604422969715,0.6656095606045069,0.5592268032006369,0.4824636823561386,0.7056823843327598,0.5091000767059608,0.5106829600027942,0.5643833534583053,0.6585681893132219,1.0418835715260915,0.6816081503869322,1.7596010629141945,1.2189133206385296,0.8434291841411321,0.8085687619923873,0.6697187491214398,0.6034089380711853,0.5504429862943433,0.48879249692501575,0.4604930038975527,0.4421859250580511,0.4956432800974407,0.6850956456453109,1.0021895419759765,1.696514092039879,1.4360408544670737,0.816657029949518,0.5452373543236483,0.5258646124946267,0.4920768692609748,0.4649960211736199,0.5100198093304374,0.5374255653003838,0.5653664282567803,0.5633148315339631,0.6037758086614204,0.7607027134279605,0.6674159378143782,0.7830047975136073,0.7331212806858011,0.7998563393335479,0.6442038453196082,0.62057736108672,0.5618887720322472,0.5283232821952482,0.49540287651119996,0.5067114370425799,0.5364204270934041,0.7770146721490839,0.5726905254613704,0.5742075262010876,0.5300280132957487,0.4847669488876405,0.5329331913285333,0.5712875002113388,0.6304399626718409,0.6622309291713784,0.63826512441335,1.238075223288371,1.575259207047173,1.0688802788660032,1.422499044686566,1.480129922223681,0.9595573581172697,0.8595275196896045,0.7125940612217002,0.7069203778860781,0.8716345045117947,0.6966191778489145,0.6258609191504325,1.0387535871831686,0.920762415043639,1.226941126407377,0.992479150652053,0.8199829294105734,1.130715623087808,1.2691546033018812,0.9886827726372596,1.017975004708851,1.4874738315515923,1.2685173578671736,1.1013740258033748,1.371750602970089,1.6057012748819717,1.250582388020387,1.2877961622236553,1.0421765311636162,1.4334367946137572,0.8489135173838767,0.9251011402074526,1.1177805021055456,1.0067454389628454,2.106534131575971,1.3383150053046486,1.87472167045798,1.3912699707367913,1.3966851333415715,1.4534642783399254,1.326847179297217,1.0460272449878976,0.9262681889909946,1.0633380778405033,0.8557126251232109,0.8363689856350228,0.7207896180970269,1.0439935497183774,0.7068761671332667,0.7050500180946333,0.8588379014093958,0.6159863873473395,0.887534620061197,1.0741445098242295,1.3322776149608255,1.6329968605018057,1.919575641363452,1.9869469561386912,1.6047853204133011,1.7508431148252923,2.080397790461072,1.9005821173436477,1.7274060093314094,2.1170317847947464,2.263377038452942,1.897415473723282,1.9646862988108371,2.2557414713130304,2.185743434393334,1.900166288623167,1.947275681970437,1.6498139915559649,1.680321637896198,1.6163232322347316,1.4967056925701574,1.3638069303922917,1.1862670379558522,1.136429232170927,0.9878231929782921,0.939686502604068,0.7449654194254576,0.7500536877384334,0.7793299829697262,0.7270639326781976,0.6652016814055545,0.7108533207236779,0.9406695154685483,0.8866238151885275,0.9333809823619166,1.2901953606263008,1.4692532407357461,1.0531035015791694,0.96810809298867,0.7801454757329165,0.8030497937440394,1.0352279485812137,0.9326232080973924,1.0732441275105935,1.045727807219639,0.7469203563819892,0.6705856445249825,0.5468013726778187,0.6081719478652893,1.2673974679114424,0.6035826296041056,0.8429728060826254,1.7056384327509517,0.6469132393257749,0.9243386385039994,1.1567793502015127,0.8447597379693765,2.176871235162941,2.3365790476171417,1.7491292805612018,1.7728981469975587,1.962899356067169,4.07252622461024],[1.7575265968203462,0.8432239230548817,0.5882113632891538,0.3628223409005004,0.4640068057083419,0.41687535137018017,0.35046428965221976,0.3850644822882743,0.36132357776456525,0.3110266023128345,0.3238529758844336,0.4390104649248985,0.34555188671722387,0.34695552441040073,0.530349108779656,0.49475046289327823,0.5441365702472286,0.6088243521926602,0.7378213018403877,0.6814144761850954,0.7859834759310448,0.7712888956203939,0.9680177327725601,1.1816660375002608,0.8268282776159995,0.8252820134479997,0.7335186476552727,0.6134631150039667,0.5417791874708879,0.5099454872527203,0.603848982236587,0.5351266783052275,0.7308887878880607,0.6794492372535669,0.5602221006021855,0.5589990305577577,0.5233845703350914,0.5697360083685128,0.5729627141100341,0.5658787245005288,0.7217113649243154,0.7203047134779063,0.7067818053585309,0.8663966272495779,1.3140259671799384,1.5610882121564427,1.6661161236002597,1.1447924326560306,2.106142089715259,1.7411660654689725,1.2159094299646458,1.2840907531922958,0.9712482645791016,1.0370675630683817,0.9611362965394382,0.6996790850598408,0.7503941608474487,0.715490295557859,0.8218886570410138,1.0747073045310456,0.8309905613552067,0.8294785455161954,0.7748626934986248,1.0176621129328596,0.8156641442309125,0.7384060549745249,0.9541405489466731,0.7610363786818088,0.9937051129190188,0.7890952393194457,1.0270709414413124,1.3332056082393036,0.9361100100522058,1.129302910940547,0.7763008589979767,1.327007855007784,0.746053747568674,0.7133544194693823,0.6519415760602933,0.6440568342482745,0.6054837792336619,0.6091286905329022,0.8075606117316256,0.573748053562983,0.5329960452027047,0.5267275765516513,0.5735156723114724,0.5898480585934591,0.5911195702022809,0.6953471121457324,0.6882871414610418,0.8435878432992152,0.7473020755175043,0.7321496602435759,0.6394814337993078,0.7675972422926314,0.656406132050916,0.6194608015152798,0.5650640004331317,0.8722254123839321,0.5274974022765204,0.5721416719248389,0.4461904955382466,0.4483374534602212,0.4242567682086984,0.4056655385235816,0.5214585708990117,0.4259066100821627,0.44794126024570097,0.585850498467156,0.3960488470128132,0.3504638510045601,0.36308263392142337,0.43859904077579803,0.4529711977792454,0.5236313846837695,0.65967269641746,0.7962596756647107,0.8983603174391909,0.8182125511922604,0.753269194059912,0.6789217870703449,0.6723244595739359,0.4214555605898363,0.40128624430607684,0.4183512987324712,0.45917210885732207,0.3900189440490282,0.39687551944929705,0.41462885937124944,0.6502747310262623,0.5174707047205745,0.48749257835532755,0.667194912743865,0.5177899989638075,0.5174985051773474,0.5635190534345335,0.6316540042998203,1.004412149354943,0.671883262274851,1.739482778431765,1.2186462406907046,0.806787399543317,0.7917903388928279,0.6327866091036604,0.567730396224889,0.5190389280169228,0.44354304341858,0.3895804398020314,0.37836092417637524,0.4287862997673925,0.6269447013668221,0.891163327359497,1.5752914627387016,1.3772280217870063,0.7219033192221677,0.461039238528626,0.4396471501243542,0.40826189588351525,0.38476598312789656,0.4718571665878891,0.4994353536466573,0.5422943843222245,0.5331973621326552,0.5991633274136932,0.7581256717616565,0.6692875955595503,0.7992477481403503,0.7511818513227354,0.8065498925350689,0.6475420391303851,0.6124900195316151,0.5515865455470659,0.49935537311561884,0.4550780261600603,0.44345446835592606,0.4876825366175656,0.7163663437663477,0.5278188197449786,0.530618740875133,0.5021683910586356,0.4489879299884753,0.5195789734167984,0.5701725361878358,0.6331978255954992,0.6484604140969128,0.622434502320312,1.2005947116916542,1.581469613679941,1.0864407791490296,1.4524544538274962,1.5148327770262342,0.9956604353901749,0.8939222021953015,0.7396742833841623,0.7493973838446876,0.8945695932590347,0.7004267610992634,0.6317326335058808,1.0315284812288008,0.8576996676197093,1.1560913623451712,0.9564050119814944,0.770073591094401,1.036121805936604,1.2013764803887599,0.9598360830483379,0.938212326254804,1.3763445205360707,1.2048646274564796,1.0226353388361276,1.2643031526742283,1.5213155797441584,1.2002421340997038,1.2056650741385582,0.9791698857283467,1.316154975104738,0.8091340741382929,0.8349062252104203,0.9918404251598191,0.8858336888163001,1.994925323449683,1.2004132093963953,1.7083427232917252,1.2303748588270085,1.2304908737666889,1.3086235008862133,1.1730077623489803,0.8857078135397461,0.815155628758389,0.9563858768274873,0.7788757550589753,0.7681201052760589,0.6617545166855251,1.020189226147707,0.743427285722428,0.7181903015139355,0.8830614692917509,0.5954575829953992,0.8255100994231415,0.9939202379096124,1.2295576217992497,1.528718058724027,1.7682935224485292,1.875520950977854,1.5071369382306847,1.6123350211465879,1.9433456183699376,1.7981875661967044,1.6089942062718732,1.966434637696563,2.1262335102366463,1.7806747689708382,1.8136959305893057,2.090574144047499,2.054452969059319,1.7542682333501856,1.7753840275571586,1.496848979588245,1.5133794526332598,1.4707620071718237,1.3357254984224174,1.1966088081492883,1.0608986405548684,1.0035313065255074,0.8520853252292988,0.8284291839721628,0.6610124397588899,0.6556818071974729,0.7323051790805082,0.6941992780450431,0.6522618027562069,0.7123511241703112,0.9381801602750172,0.8954766575378228,0.9204254553462813,1.3285469806436954,1.5020308456281177,1.0480119033961781,0.9483684885942936,0.7449402313388536,0.757938804215063,1.0091820512934577,0.9058083891797736,1.074759896273392,1.036433014569692,0.7198379114728573,0.6685273240525793,0.5528333714359863,0.6127500511191906,1.2413530305722533,0.5606657248434632,0.7788906079113876,1.7024673662404328,0.6190772940029954,0.8894476139729112,1.1376078893236827,0.8848400308865301,2.1072091439456226,2.1982561692620655,1.7471217188340458,1.6769602506097978,1.9833349949532533,3.8623016382654396],[1.5441412754368828,0.744889048792126,0.579851963366046,0.3759778393323778,0.5145990154361322,0.4221414709783934,0.4047284636596493,0.45404716445743126,0.4287212798044936,0.4709704627897113,0.5542190688822455,0.659892322059856,0.5917677954131564,0.5714850121910633,0.8431993549555534,0.7899089972742613,0.7309979004390603,0.7922756863242358,0.8610882835978633,0.8390065580337482,0.9249137687311343,0.9350753930367214,1.0918598897554863,1.3083382639586147,0.9698392189276192,0.9641622626400868,0.8755387046289914,0.7434578609535604,0.7486887226879192,0.7590169819662012,0.8994839126967534,0.8332200645269304,1.03754723028166,0.9996611251857163,0.8638056190914756,0.8320557609350421,0.792133002046526,0.7739066736251704,0.7684892794281556,0.7706818282541216,0.8596313745907072,0.8522586283091286,0.851571773244472,1.0178893285386117,1.4189070968113797,1.6763082836768302,1.8323588828774424,1.3307012536824763,2.1392049931727737,1.8371589140786946,1.356707947617963,1.4126576029529754,1.0179772323922571,1.1881436506849972,1.0580275848528737,0.9005974374162786,0.9292992270822507,0.9308603823522597,1.0181925482029368,1.270772531672162,1.0065620706055372,0.9858153017860251,0.977998633884287,1.0906433277351766,0.9704040912778873,0.9223967712587382,1.0753066977452332,0.9067408823021204,1.0628312870517653,0.9574541227743408,1.0172399229366311,1.2406453384680305,1.0484878304457592,1.2392797233980595,0.9844487107794413,1.5070772336944052,0.9735527004858749,0.9926753840710388,0.9170224162926718,0.885523521017433,0.843745886446559,0.8055114429245652,0.9383829867733714,0.746597793606694,0.7477935324118129,0.7406839777251972,0.7907526030108994,0.8510796371947505,0.8394286114913996,0.9804322688856172,0.9626091525350422,1.11925849823389,1.0940689132282975,1.1096029276432302,0.9926497244074081,1.1742527041864899,1.007948031419652,0.9420262513363773,0.8425528793552236,1.0422158867804832,0.7854143881937623,0.7518786532135916,0.6815702227736243,0.6280123201876369,0.6058023456186643,0.5719784396675676,0.6243042843367289,0.5268747282832397,0.5101772719557058,0.6754240693555332,0.4710194856132363,0.49069043604454515,0.469443896675827,0.5527659575715855,0.5506784261091092,0.6465921916313321,0.7406222812531327,0.935469208117258,1.0467604957352066,0.851154181565249,0.8118015785257717,0.7284551108950297,0.7649960126198795,0.5324694638843682,0.4777790059802367,0.5040842014764909,0.46836677323580783,0.48895601497309593,0.4863640006209273,0.5664377746103152,0.7248777146824489,0.5923253642054999,0.6606708124288758,0.7763580495744423,0.6832639968529257,0.6859183413200513,0.6600774304208747,0.7320705017315723,1.006683371646494,0.8017918747982677,1.744337898076788,1.3254924059329423,0.9101892111888271,0.9155402234100801,0.7768941693888886,0.7372615310353281,0.6783544127832407,0.6083057424484414,0.546713767397231,0.5173943019576512,0.5422729490808634,0.7211993925915346,0.9311056163898894,1.5408906395196984,1.4454689861385328,0.8318214257992509,0.6567820150138783,0.6071249579904463,0.6282171682104388,0.566325836661988,0.625444121380992,0.7002068821161458,0.707249279267217,0.7281771456289552,0.7958370236217479,0.9288951774201951,0.84544088976208,0.9960906303487065,0.9432051021608003,0.9755451088934206,0.8242442716721878,0.7729929233848267,0.7310182367923667,0.6878890826509297,0.6707270648451424,0.634849559666316,0.6855535616740506,0.8538395227147354,0.7276000752921435,0.7133852595129802,0.7048623945974277,0.625893044367011,0.7054792992289031,0.7755806332488707,0.8328501918040473,0.8332070939308007,0.796516844379291,1.351646722079212,1.7079681196076677,1.242914741717821,1.6354344616546403,1.7070690708457354,1.1904048079549547,1.0580644735935414,0.9110759055926496,0.9139528688574842,0.9846799610380669,0.8077818236361719,0.7370232580564388,1.097004865783761,0.8721153786501064,1.1671402000539293,1.0005348964683225,0.7808375829152545,1.0041155912319952,1.201583902354584,0.9612297084122448,0.907077153645175,1.3263722805600837,1.201767552480165,0.9956862032146845,1.2102218789767025,1.4965641627972597,1.1931303803347832,1.1609801398451323,0.9397594657823061,1.2210092761538138,0.7666808174184471,0.7747423809944338,0.8960332686561387,0.8140939213482001,1.8316205694281793,1.0885007365071484,1.5561259108275411,1.0831842773747584,1.0966527571380273,1.2179415320443614,1.085064249308503,0.8083185181493793,0.7806986487605962,0.9165577304843312,0.8213532582866325,0.807848367707396,0.7126694538057525,1.0558786755739455,0.9140776669461521,0.863329564381416,1.023539143886496,0.6824161005195284,0.84461732568701,0.987832534366744,1.1835137060615717,1.4856714354201508,1.698789121407123,1.8393339969818714,1.4767777442031538,1.5439952104134325,1.8878253499492268,1.7726037329218685,1.553950185083683,1.8918545480785303,2.065514475364321,1.7358331631186381,1.7330914748289863,2.007667800852031,2.0034620670570247,1.679597691211121,1.6779842602802024,1.404823022741243,1.4071572100906686,1.3778952716167578,1.217070507107225,1.0780178919481915,0.9847538199252375,0.9267823795609061,0.7558049904198837,0.7522420887914762,0.6415142400632192,0.633275645835369,0.7518164215020843,0.7174282575800608,0.7492009700203404,0.8235432593640641,1.0420720693318473,0.9974509325584208,0.9514320627826369,1.41434236239972,1.5200783039111405,1.0438233942491506,0.9026438108903808,0.7128731648634328,0.7275488601827557,0.9335399545512042,0.846978002702015,1.059380793484277,0.9998143439967312,0.7141333456556793,0.7167237062055274,0.6238586466494633,0.6748426763821977,1.2778703752819944,0.5842162680093935,0.7511833585968827,1.6271577770466206,0.6416228325791771,0.866433052281274,1.1338054125504837,0.961726000707061,1.9587082520520167,1.9996658047263074,1.682788900318232,1.5891252653162249,1.9736800470947498,3.704924052448549],[1.668997142092691,0.787628574977831,0.5073365758790319,0.3277723361661679,0.4374362330601493,0.3725269475223023,0.296986008054397,0.3109023632755355,0.30514815786322413,0.3145701289126726,0.3292469143527125,0.43950448895497274,0.35681633578368616,0.38928543886553335,0.5578863760825086,0.5083464288005342,0.5484357292320281,0.6189145790307627,0.7314488413058583,0.6945455574496154,0.7903764008727752,0.7973113508333266,0.982811042971566,1.2076932971935646,0.8486527815894598,0.835616319593898,0.7333534435038225,0.597171732791729,0.5577912007386956,0.5257554269662557,0.610342775322847,0.5400415066349076,0.7255803865047591,0.6854051441229948,0.5686514697187732,0.5852690819245348,0.5346453833954017,0.583598030657723,0.5918549971967365,0.587144658611785,0.7179321651684446,0.7207933099602672,0.7118581701452079,0.8914000280090494,1.3223714326160403,1.589344661016364,1.7478730811746492,1.1641562169419883,2.134156296140034,1.8320377963715146,1.2232934746383377,1.3593262215503998,0.9625402537430796,1.074079077053937,0.9823392627624419,0.7258999432186388,0.7763273298407146,0.7606256092114032,0.8468764481791043,1.1341425856369716,0.851742284725538,0.8471400599979313,0.8123853420608649,1.014428355214209,0.834796780059492,0.7691676812820656,0.9520551715119805,0.7600205192458159,0.9765270200322745,0.7971490146840379,0.961686728844175,1.2398439123291285,0.9214072813247862,1.1641905192519622,0.7802061884065659,1.343074506417775,0.7651348906429155,0.7292534351713312,0.667884038061095,0.6663956891796031,0.6169325822169975,0.6166834627967868,0.784484959968521,0.5535872177756458,0.5332043976464095,0.5320561630408664,0.586481699961668,0.6117573146306469,0.6106567128459609,0.7098608861382332,0.7041415375977098,0.8562909236514225,0.757994953050382,0.7322609382532409,0.6365297162094377,0.7560149502695397,0.6394793501699114,0.6016610411473027,0.541230595250636,0.8149819395777651,0.5129882850705879,0.5719129525756276,0.43811881715658063,0.44487492015104557,0.41940397817634417,0.40609343869778397,0.49561911451421264,0.4190196031074666,0.43203717409356696,0.5763381483076423,0.3738998230555894,0.3257741300309654,0.32853248584250827,0.4220607475513818,0.435188406576678,0.522393839551429,0.6302208142622183,0.7708182223168414,0.8774868307595449,0.7634089289311436,0.721183380082248,0.6379794119484237,0.649765546381334,0.4249870784746884,0.3889168312967113,0.4077866156636817,0.3962185063122534,0.3747527591292025,0.354558359260274,0.45001517162507065,0.6394184176377112,0.5147732768717976,0.5253738765632879,0.6812505690275847,0.55293446426559,0.5818314260845382,0.5949874140999059,0.582134106940898,0.992432408971938,0.656284994023806,1.5976150114809067,1.2448758717227713,0.7795785861376432,0.7546154351040163,0.614509321064584,0.5651676972709843,0.5102207320373745,0.4454312016691243,0.39183484483525644,0.3703853322703788,0.42484217915192907,0.5732618616789974,0.8461254028130591,1.5224886656720844,1.2836490616910115,0.6825487370447213,0.44023407456715347,0.4282596430601126,0.39738442746549757,0.3991574707862217,0.468327307707434,0.5041681218077247,0.5331699798027497,0.5444207516039159,0.611209326536959,0.7662595802811824,0.6821646688873495,0.8356468797282081,0.7993068691261036,0.8345256703953481,0.6726028559905839,0.621489865306387,0.5612142197714286,0.5114616880124263,0.47678204136353225,0.44150761871713484,0.4905291699919911,0.6894739568498724,0.5400900317947012,0.5287602342396737,0.5141415640891805,0.45770635932209375,0.5385134371180003,0.6151255165420321,0.6813864985243797,0.6842794768217388,0.6518449725742235,1.1977561682900517,1.6085630415397174,1.1448661469908628,1.5508522985494817,1.5560717610891948,1.0883869576705572,0.9751488118457775,0.7900844505274375,0.8202427148003217,0.911512557424428,0.720473215402295,0.641436141754726,1.0706045727173068,0.8412523377802754,1.1437643173634577,0.968933073830319,0.7526319501075477,1.0189097622037837,1.208327464558989,0.9613404443136458,0.9204054788899956,1.3709247713805468,1.2275460121441693,1.0232477544592653,1.26888831914563,1.5511019976442284,1.219157646544471,1.2232315405768255,0.9680312760729473,1.294402691282214,0.7784487342652495,0.8108758748389201,0.9604782560127738,0.8596870087332323,1.844931600146183,1.1271883772530882,1.6504783965159422,1.1481377611809993,1.131733703906035,1.2322104089174013,1.074556946875069,0.8201191276891149,0.7515905537832612,0.8826924624920023,0.7327539325828307,0.7786130225721116,0.6364151296222772,0.9469679212674232,0.8279595880964086,0.7667095941036596,0.9214226293696481,0.5833352411547099,0.8054282921791257,0.9408239195781497,1.158077745179574,1.4551732333676062,1.6942062832710154,1.8165129161867037,1.4643627391173164,1.5609401800559475,1.894779188437622,1.7717644049740366,1.5861769002897366,1.9394637832040609,2.1110612301351166,1.7835340595984732,1.7974221848797296,2.0820044701849647,2.066301824855725,1.7581515614777141,1.7732053998325281,1.4864359508045977,1.4829173892749965,1.4314357917086415,1.2672264371917055,1.1515200790660183,1.0317461638731573,0.9576778775948248,0.795139845086284,0.7729379379002222,0.6167493681975496,0.5983028614767757,0.7212546514837445,0.6676237201567276,0.6672709940688886,0.7168541571176036,1.003969251899011,0.921208446303945,0.9194589424025974,1.357778531563123,1.4788300593778407,1.0654669836185584,0.908471066700608,0.7014759709057813,0.7234311378722168,0.9219754064309662,0.8423409121251767,1.0505430769015445,1.0073364897838588,0.7043074865023691,0.6611301090290339,0.5274680738843603,0.5825616019343984,1.2518115125659948,0.5466792875543771,0.7783960141598087,1.801069360958236,0.6256797920645178,0.9229471059861287,1.1886851535288057,0.9020009402423237,2.0713876261546282,2.069053832993675,1.6354128609953624,1.6928540320037375,1.802192950446063,3.6182563935064134],[1.4001957088813075,0.719322609602394,0.5451445269620523,0.4444608741066897,0.5381306565281244,0.46343327253298056,0.4275547254836241,0.4413373782350545,0.45905540302255476,0.48332597120922555,0.48249456394852624,0.5151446556356786,0.5265022244804145,0.5692871562789308,0.7443596113644786,0.6810295689926564,0.6918096502193717,0.736792911916837,0.8032574769067272,0.7774907437946347,0.8624263394996836,0.8742585246725162,1.0274141791379734,1.153424544247355,0.8884773766849062,0.8506263067621442,0.7681292425911296,0.6688621591722886,0.6789801719118821,0.6742985761368285,0.7699842027665867,0.6780804078492818,0.8363021523391242,0.8217713318687795,0.726343697702046,0.7287273144806102,0.6595164296189012,0.6944382981490069,0.6827360692956165,0.6810233511423477,0.7572438930765616,0.8068821270470321,0.7932455898552775,1.0262331671501363,1.4116589852633814,1.6929913830844863,1.8956403620570645,1.2827034053552089,2.194148490513437,2.0090118586430394,1.348052005554609,1.4954656632753414,0.986494238489249,1.1378135018235338,1.0467950457436799,0.8412690646343731,0.8944846721840354,0.883020957598053,0.9464470257135577,1.2787298295177618,0.9717413028971672,0.9454827104273924,0.8991704279852623,1.0560321010458802,0.9175399843099363,0.8645203081301216,1.0117031088414485,0.8653235284957267,0.9842167892587405,0.9469900276537753,0.9673384016690648,1.1764731074496126,1.0209065226746374,1.1996516895632408,0.9004316698710648,1.442510543242016,0.8732044261067121,0.86324776670769,0.8052286898208527,0.8211703109037626,0.7142858017863558,0.7310202573849852,0.8911772972756876,0.6363505990785095,0.6399936197580455,0.647897576108046,0.7014292179867027,0.7119305725518782,0.7467529100279021,0.8606801286747419,0.8528630526914778,1.0317575882986278,0.9426467674762599,0.8883996573743137,0.7947027413227948,0.9149005896041537,0.80760397027955,0.7309827581184238,0.6555457062492456,0.8177369348697049,0.625279138815482,0.5996000523603597,0.5419511867928284,0.5508198524340787,0.5423498874673568,0.5350500010649881,0.5776601921547487,0.5771746794043742,0.5513029196492453,0.6619810504694204,0.5147829855289102,0.5065379575053498,0.4854210058618182,0.5746535615391316,0.5747866673614295,0.6448095169810515,0.6848739504310372,0.872064861231346,0.9472923507852192,0.8024340445964471,0.7905749291512664,0.6945571128954602,0.7423157777626511,0.5927104085705782,0.5498321772250876,0.6018755246780065,0.5134258235515009,0.5464211042225974,0.5434049660714831,0.6166764981636795,0.709310802248611,0.637468456826877,0.68351033360521,0.7585751871631948,0.6933576684310818,0.7395681403095384,0.7191298187619057,0.6545806808010857,1.019435693627432,0.7768130737652726,1.4597360283755325,1.3164043953794882,0.8522524189194289,0.7909838142612406,0.6887768400141098,0.6417702143826703,0.6088146819701789,0.5600011258304244,0.49392771990003387,0.49538092271271816,0.5254032100535634,0.6180242835598224,0.808317367584149,1.401143645008234,1.2523359775381389,0.6969983377845055,0.5197253704956619,0.5031797142611667,0.5212444599527633,0.5130750785391139,0.5567880366563475,0.6122553999390102,0.6275427047805433,0.6506932552024193,0.7402820437181229,0.8419719419561226,0.7813618426233891,0.9405310184960725,0.908644679273855,0.9110538937513039,0.7477296716692804,0.6969476139747691,0.6711535838008074,0.6106419204413278,0.6001686322620907,0.5722160773418894,0.6140283265698675,0.7649660862023225,0.6562783681455787,0.6219769048832055,0.6244985426152052,0.5634007638611819,0.6392213965649104,0.7416131963087655,0.7812916180091897,0.7922117861965035,0.7458827359088948,1.2675524515538459,1.6297038804321176,1.210600418775321,1.670347357740698,1.636150238654121,1.2238956281438083,1.0944137044039768,0.9097348324577985,0.9592639523062482,0.9878526368934041,0.7982173108385403,0.74001522510048,1.1180630442885076,0.8178825467754839,1.0710679312163243,0.9590998654858163,0.7418111181795252,0.9237189479007616,1.1412873738047071,0.947518868948674,0.8613701943833469,1.2435645700825633,1.192708730064994,0.981022096285504,1.1762108454523499,1.484899703067201,1.2072250089062517,1.1819375291289511,0.935627918121193,1.1874653358093306,0.7989645310120456,0.7863143231111508,0.8705989145225468,0.8165503643781412,1.6843128468441306,1.0265494889184639,1.4696281187814377,0.9612671186411422,0.9034918216326299,1.0219430107012555,0.8895742452198019,0.7147986965641379,0.7100502665121463,0.8002017336886416,0.862886897231636,0.9342401143133514,0.7500678736427783,0.9759731940248865,1.073074467151249,0.9740665829964926,1.0841455805313729,0.7091927531587555,0.801558012892935,0.865669309873091,1.0285167514115234,1.302250763406873,1.4671484928060554,1.6298559891744666,1.3180104013106135,1.3505629490637432,1.6815458933357554,1.610221613968292,1.4149416359270903,1.7249468265278016,1.9152104113584145,1.6325533156147634,1.5962042709208757,1.8711357372994486,1.9076530055462069,1.5834936707727791,1.5600984967277176,1.2895360568234913,1.2614088685087548,1.2324739835787055,1.0545312511117253,0.9655942378316786,0.9087612588548624,0.8313764360718792,0.7051525675444027,0.7351019620347913,0.6312626409984115,0.6325953008112756,0.8392797270755494,0.7654653895004161,0.8130428338473524,0.8958517707522494,1.1214685956142736,1.0618688153340876,0.9963932869488928,1.4864443611437932,1.5503595479340349,1.133508801676253,0.9423297956202901,0.7190678179239706,0.7470756746024039,0.926866549031993,0.8911352297791587,1.1429338387370442,1.064344882024729,0.762948745325136,0.7186316473126161,0.673558979822018,0.6510423261522298,1.2261777104891662,0.6007388542962429,0.7709961707838228,1.8143591463981916,0.7006733014234179,0.9176614939082424,1.196816381914696,1.0257653632222592,1.8490463188470896,1.7439098203343382,1.5122586315258262,1.5948469671117063,1.6704760535909167,3.1637126829249915],[1.5150666927565068,0.7252258951219611,0.440230691775768,0.3005683189027068,0.42586233720048855,0.3562379652319486,0.28675766694659166,0.31693310466686836,0.3280168572230857,0.29593626976514115,0.31615541565607397,0.39026116481677825,0.3293292279799384,0.3765521356046867,0.5353336775579669,0.4623838302625118,0.4968035299605938,0.5608309187765015,0.6568456912680497,0.616295537368569,0.7103213044887755,0.7142226417477496,0.9033359200805425,1.0582566625110594,0.7644079287178853,0.7335119648621832,0.6243923929832134,0.5282173683764552,0.4990126634841632,0.46532522410157506,0.5646155762049807,0.4817114877134253,0.6380401162551547,0.6158321794672426,0.5084600379906641,0.5215906738459923,0.4618308904821988,0.513997504227828,0.5151906022223849,0.5069465124324711,0.6325298008593664,0.6653249738191535,0.6380034988245732,0.8811682128055297,1.3077988736622832,1.6219536588478094,1.8070957996970562,1.1650122357024109,2.2189545081325277,2.0290314320994316,1.2109607388457142,1.42650136458942,0.8966639294154717,0.9988597279354116,0.8996925987672062,0.6345164109512228,0.7251182873875497,0.6741900320714322,0.7595346847739419,1.1441036103530626,0.7954188726648389,0.7624060278499087,0.7306287110042049,0.9108703185203314,0.767518558522391,0.688624929902469,0.8944881143448359,0.7008157998577709,0.9000098848105981,0.7667577126856303,0.887967363779439,1.1378593879501222,0.8789085627333969,1.1126232853539162,0.7265949355765888,1.2965454686104332,0.6953356135351987,0.6749094791192618,0.5972978072060725,0.5912525804768629,0.5261312076497251,0.5439905616803231,0.7420884143692007,0.47040346432126556,0.46420046935816095,0.468744024684914,0.5088983838698572,0.5321608308096575,0.5361261027897347,0.6449103816449688,0.6491442381577582,0.8306576275562988,0.7231717301640167,0.6734985618484405,0.58623540501209,0.7032594358577383,0.6066103523461274,0.53275765592672,0.4734509104967905,0.7281334969606689,0.45936689056400853,0.5676632085080915,0.39768964094818965,0.4305117356005359,0.4132670529609705,0.43155139835863926,0.5444983750832177,0.4534609844784444,0.45628667826526104,0.5975157323952613,0.39884378854427693,0.3420127745592628,0.3154006785708367,0.42379924586099976,0.4098003632239553,0.47922555481417695,0.5432578740317053,0.7863921935587281,0.837159614199001,0.6628597106616586,0.6342410728717421,0.5601422270140224,0.6034587254568262,0.420263930301547,0.3996816917795044,0.42355258953486036,0.3850525641667652,0.3879639803079991,0.3729933697417748,0.4500385603377488,0.6044484170678701,0.5387948658490754,0.534260485868509,0.6354925875074965,0.5441833886771524,0.6042234633371971,0.6415162994403928,0.49119497837454534,0.958157834142379,0.6530552373615112,1.4208622955557442,1.2219455015974128,0.7281883031863169,0.6536540463705477,0.5489678124777404,0.4827898483740573,0.4507176292789584,0.40041348872867033,0.3541834074948672,0.3864145143173755,0.4231813227530833,0.5318596635766749,0.8230723342276418,1.431973982179285,1.1835217148631283,0.644229346003784,0.404502884756568,0.40576273214487424,0.36789907619532664,0.38708612183213914,0.407900741152746,0.44687891898463644,0.47461893605466804,0.47634759868924703,0.6100266679081681,0.7480588075000811,0.6627421189098164,0.8659131735251997,0.8144851016592998,0.8179875714920085,0.623393187496631,0.560441519337909,0.5237202492869376,0.4512211361979837,0.4081996755888185,0.38423570838338017,0.4414552593896515,0.6253373312089636,0.46549948815173037,0.4737760867725071,0.4507843505210421,0.42574208595996466,0.5147506332385412,0.5993122882994608,0.6544812235749633,0.6771391871387203,0.621624899363781,1.1862922231363335,1.5938418082869756,1.1737844713129717,1.5984093365929293,1.5392418700026134,1.1518308918711284,1.0251582284126315,0.8218659254042503,0.8639613077158289,0.9238361696113975,0.7334971087126866,0.6627961671573133,1.0665255696854041,0.7876868494272684,1.075114926017361,0.927949651827459,0.7254101741018489,0.9559198382695598,1.1636397992057939,0.9473222292055549,0.8795786181118919,1.3172725847902376,1.2229710833813006,1.010284904448536,1.2406561641450882,1.5511001386755323,1.227018554572657,1.226334173609263,0.9476920620265235,1.2759851276297676,0.8010492297693516,0.8110737650817649,0.9395706604412586,0.8614311753577367,1.7150556744384928,1.0618405242258444,1.5663967361778781,1.06230695036316,1.0040925880513465,1.1101775036520802,0.9194324150426647,0.7336047096849851,0.6808855514469293,0.8150183674477718,0.764107258259707,0.851133346357298,0.682529797973793,0.9196041358090935,0.9530942778397357,0.8629997382714262,0.9945057281798132,0.6155140289794957,0.7685563134644573,0.8609343899583466,1.071379085925146,1.3467331345922955,1.5525455331052687,1.6809161045774306,1.3747717757172417,1.4443298503703002,1.7571096163250008,1.6660004937534452,1.4942922799069904,1.838289375933988,2.024400899022884,1.7233399923049593,1.7178530105541747,2.0100230778052453,2.023738763922801,1.7027758042425951,1.709389124507193,1.4170021135434412,1.3872427575979287,1.3309423802190157,1.1535038777924271,1.0690899726744962,0.9759209380285648,0.8774206024802124,0.7464299200393087,0.7519125153518,0.6054338356689851,0.5994233361710346,0.796481586786246,0.7027384715733754,0.7505348853568782,0.7964212304553283,1.0923137183369118,1.0060777960264222,0.9883762459069293,1.436651944540191,1.515001227733977,1.1207544868693262,0.9488646619154087,0.7142231102072796,0.7404634739148626,0.9243850085136658,0.896850244538409,1.1391238199870914,1.0597965468255817,0.7404687399388982,0.6533317818736615,0.5539044515606364,0.5379563844537063,1.1951892374718438,0.6026290139863532,0.8370760062710201,1.918204485305277,0.744056010259837,1.0343464111895848,1.2961718223910716,0.9442507059252823,1.9389483079814365,1.8501101360310328,1.5287516818007005,1.731157418814116,1.550689581421267,3.076505966766475],[1.2815396381829862,0.6731573214568879,0.5050311935671893,0.3827483562679133,0.4997902812316773,0.4085662084521796,0.37436081684718603,0.39176307698493434,0.3999719826005448,0.3913001384609044,0.40241150412047505,0.46188925050210444,0.43378036442076623,0.4829915374471799,0.6432811095731238,0.550917547196505,0.5666250464835383,0.6402834936046893,0.6993083389447843,0.6671950789738493,0.7389423090781473,0.7616829349219595,0.9109340521976835,1.06151438935884,0.8077710134938477,0.7574558636371397,0.6512782078682589,0.5754188710431926,0.5798549051048091,0.5428619549688319,0.633781494082855,0.5391528695855958,0.6682939701250645,0.6580918439160811,0.5669196943579203,0.5919119769617723,0.5356675458133273,0.5829739639618103,0.5783740883525157,0.579667454131743,0.6577023534668613,0.7099829797393028,0.6842286755309991,0.952342485362295,1.2701125409222511,1.6076472452744208,1.8499786790380477,1.173497344292344,2.2556903743364707,2.1527380495029553,1.2229811668906032,1.5408475124751249,0.9383188212511087,1.0724072142546737,0.9773497524088487,0.6875714320445732,0.7848483636884497,0.7371281332287897,0.784721895458118,1.1938285618858435,0.8229259786734622,0.7764594709299087,0.74377664116369,0.8954547377246437,0.7924260193661226,0.7273528895567841,0.8966746389077963,0.7342509698117172,0.8627099346995578,0.8369384617076405,0.8536689212932244,1.0896131753665208,0.9322381834926791,1.1244061279737012,0.7826305343537144,1.33465904190751,0.7309542725705521,0.7112025581379805,0.6481979574703143,0.6534745899440153,0.572420728680698,0.6177299074299923,0.7955724949391643,0.5350210421917226,0.5439748289372192,0.5565908642877602,0.5880004009056493,0.5984033080391619,0.5946926346614099,0.6855610180997592,0.6968786838609078,0.9180375834628685,0.805667977110306,0.7360007068694048,0.6552991350519254,0.7642337667491339,0.695454374656542,0.5879279148922134,0.5253788821319452,0.6693024228569511,0.505109191207778,0.5601940176061804,0.4449313964332877,0.5044136679278234,0.503651231015369,0.5336637602566984,0.603532511974062,0.5739999756360833,0.5598084705956753,0.6890029188621472,0.522605975339764,0.4647410696628259,0.42211667986246204,0.5030646595088376,0.4704573168807415,0.5169291704222404,0.5685571716278931,0.9171024518797052,0.8656612264623519,0.7021818439888552,0.7023082378500028,0.5836397849642283,0.6534622469546332,0.4801205093790557,0.4875153638751318,0.5284694984372109,0.47485752196753506,0.4958852719371933,0.500879962654938,0.5795291744478378,0.6632985573804289,0.6194867518680515,0.6349121111139967,0.6805358665877594,0.6346818637627829,0.722813997736607,0.7256553628826149,0.5381812819691673,0.9275057072329315,0.7247558514430248,1.2405516790518283,1.210073126942075,0.7304403552119499,0.6530268099364105,0.5732924762753907,0.527617746625494,0.497938771718693,0.4654571845179705,0.42509590889491344,0.4700084918194262,0.5165067494682244,0.5737178841148598,0.789805134506514,1.289906624115605,1.146524772644559,0.6168353162054958,0.4386033624940784,0.4612597137661205,0.4166256505425845,0.4667056028327839,0.4569825530564579,0.503351999816448,0.5205088234235837,0.5324872259884049,0.6659822153218624,0.7627701703086405,0.7103596112324531,0.9250300068940763,0.8764739654620727,0.8478218009366542,0.6777409547752463,0.6122900456801945,0.5797358422940659,0.5073544602366453,0.47566487662299634,0.4638801626375375,0.5171351002384352,0.6574006708971044,0.5451426656189785,0.536698758348888,0.5016373837575325,0.49483824582934993,0.5830785271915593,0.6615367933315806,0.6990825436938636,0.7156588831096715,0.6861459353593091,1.1698472734536383,1.573614495975293,1.1901421735556372,1.649595501730163,1.5643358352126933,1.2673492616594366,1.1315591500249387,0.922771942776857,0.985097968614702,0.995605318333204,0.8125073503300332,0.7761334555058366,1.1256592958663827,0.7890463106535403,1.0096604246373997,0.9270792900666102,0.7447482566179553,0.8798651915488732,1.1009101142783482,0.9526276447268459,0.8400245117457564,1.1831341581035806,1.1786161221491793,0.9731061656259365,1.142569161065129,1.458984526519756,1.2040648066192057,1.18110247568057,0.9561722423719416,1.1676818926770944,0.8702840795940091,0.8064420079505367,0.8621782605005269,0.8465603680485232,1.6065371122126644,1.0098279943844402,1.3912501346108244,0.9017585666996445,0.7985503584077269,0.9399296866212957,0.7974371711708115,0.7013628239093762,0.6709775394697447,0.8025780805696019,0.9089261366938687,0.9822454730779542,0.8046343009358063,0.989001561720724,1.1718022562782926,1.0547182605141714,1.1144578162535683,0.7537711186020724,0.7943242616461472,0.8352404326373275,0.9777008357365363,1.219330033428102,1.3371011899985636,1.509149248359733,1.2483983120299573,1.2514452243162695,1.5514115545679312,1.5164416359133943,1.3243676692413315,1.603644070991604,1.8002355211860828,1.5517859250210166,1.5009778985563909,1.7603165610651943,1.8295203298825518,1.499592064245618,1.4697833569711172,1.2171324214911454,1.1650319380860046,1.1356563755692721,0.9525174615851849,0.8940761441936107,0.8643744435857008,0.7854077899096235,0.700538846447372,0.7486063686740693,0.667297916027099,0.70283952802799,0.9460767367801766,0.8361725828624879,0.9132069687267794,0.9934167610671435,1.2739349515326086,1.1779605325417613,1.111048900380942,1.6018252829871416,1.6267210282076943,1.1939759706801574,1.0166341446426137,0.7837512170307468,0.7966253852424814,0.9675202945466354,0.9689884122583227,1.2304236201458287,1.1295649617319081,0.8275425857477137,0.7380287305056581,0.6747903669968907,0.5962434344085219,1.169380030608453,0.6396119500265635,0.7986098911175041,1.8639645394091193,0.7982258783622569,0.9753646553446073,1.2451417690946969,1.0213010188249536,1.6249382631446267,1.4790498378337715,1.3682897538437406,1.6503847873878743,1.4065464409650341,2.6039061126143697],[1.3356018952066275,0.9837807774556515,0.8638701578138659,0.8185474649711624,0.7840710899684536,0.6794769058906943,0.5619216223508303,0.5420241525567279,0.5388484677900914,0.49578098060704,0.5026062374221387,0.549995586016262,0.5130111718488134,0.5598852506011528,0.6711571476422028,0.5988204897758735,0.6341718808821625,0.6887186253329755,0.7468162715779079,0.7231790726266194,0.7894095728878482,0.8085976607252826,0.9185383148896039,1.0801189542225083,0.8714037042853106,0.802157770487224,0.7065285550918073,0.6403468109657114,0.6356598002818169,0.6049692882946297,0.6969215612685385,0.5913749160531434,0.6991572794689771,0.6868290782394852,0.6060519499930039,0.6316157445459765,0.5805001553852028,0.6404789355209233,0.6451365586975816,0.6431903304676354,0.7140279161109583,0.7202819391540173,0.703585066498211,0.9535688462968968,1.2228644169407157,1.6267914293847865,1.887342477645431,1.1367182882776068,2.278159201566778,2.2413177895920198,1.2093380650185375,1.6262425515486134,0.9865753993485636,1.107624024148235,1.0281866676889322,0.7249818076773745,0.8025450682613275,0.7898119601866675,0.8436735973043753,1.2050339337936198,0.8789058866296734,0.8424203569189909,0.7880911258620544,0.9633486785004806,0.8613303047748965,0.7831780910783049,0.9569224575731756,0.7937621640218806,0.9376319824715048,0.8839997912031131,0.9559291050861808,1.1863490546298292,0.9974371973114399,1.1818872217799494,0.8508558023823647,1.3398571163862047,0.779786839285096,0.7554527635906949,0.6833623377418635,0.6938988934891809,0.5964822551182769,0.6722736093873584,0.8118679636777129,0.5877583618423893,0.5985938290165989,0.6151486515932513,0.6478541121851553,0.6578188780816074,0.6352476382826102,0.702000635637623,0.7212706382971431,0.9649980886754206,0.8541600815440734,0.7668327189339915,0.7020629528397087,0.7847954652507122,0.7268206874766583,0.6340883102885104,0.5884733038281309,0.7156832717370583,0.5674735998584172,0.6731193841792626,0.539106805117957,0.6254245734051801,0.6412611356054096,0.6857751925560566,0.7523952473690254,0.7890724254891965,0.7757348798835536,0.77894524777153,0.6873717934439096,0.6065656672225529,0.5540608520850309,0.6286590232112667,0.5591402258837521,0.6091654481717987,0.6412370048251179,1.0338323295688943,0.9039034182738758,0.7509679616808215,0.7514563468108023,0.6553659835761174,0.7200936096194379,0.5782023297030298,0.5974641729664636,0.6625225019848328,0.6169553062962564,0.6323820708027998,0.6963543344996872,0.7313366600265425,0.8121623765644328,0.8078233940889131,0.7831581883840151,0.7966303983684663,0.7618793755299661,0.8473969327649655,0.8869982928615359,0.7307635249234953,1.0189448386251587,0.8133626773119574,1.1384576555472175,1.1658092511922113,0.7509899973871563,0.6869836575870543,0.631943487452252,0.589695806714836,0.5803310793714873,0.5585943569147487,0.5269906119239824,0.5505516580793421,0.6116938262025754,0.5906350629206626,0.8032096680419382,1.244719635085118,1.0921156065154116,0.6474609192015183,0.5130266854779633,0.5470124614140405,0.5022448212546615,0.5640250337507438,0.5843167000787081,0.6043949689398675,0.6223258371054131,0.6183087187985651,0.7478953628727109,0.8288758720355976,0.8150505676793143,1.0099856492100256,1.0150895292319846,0.967687996918224,0.8217953653652762,0.7334464260387239,0.6884296956487715,0.6063403549536707,0.5707955723749675,0.5808063073882822,0.6082818493906751,0.7326693318665712,0.610267230334849,0.6415512763109161,0.5934610763888052,0.6524472781110491,0.7367302177233752,0.8083708516156531,0.81115079835073,0.7797968622092535,0.7544551929426526,1.141962697631473,1.568284634245373,1.2512035869658837,1.6384381939941695,1.5618668478932416,1.3792276859613808,1.2482105886920223,1.0678033036185395,1.1285700489894344,1.0838925829650365,1.005236390452635,1.0236759935035808,1.263023690532631,1.0458087368370745,1.1825725145256942,1.1048987209567218,1.0557665577834308,1.1506700305243627,1.2985962395474802,1.176228342900187,1.1617640837955672,1.413332763137081,1.427794474488517,1.3080754341299834,1.4490301115760464,1.6933061424946971,1.5114702565166656,1.5304747000405086,1.3040134523378784,1.5902111658995939,1.2608940664145314,1.2511301503709913,1.2918178322354006,1.3220549520416927,1.827212263559285,1.4993983965624913,1.7005888831514102,1.2053180235228353,1.0950786921163755,1.1788874108091199,1.0508417943823751,1.0711636856596123,1.0010750334878968,1.0542452102014022,1.1838282743280955,1.2877090014338666,1.0941785375983075,1.195106825355151,1.37537431653068,1.2260654703569205,1.2901969103531727,1.0519839786076255,1.0315637673846947,1.0535002861071203,1.1655232998850842,1.356072720850981,1.494703295997576,1.594924921921281,1.404833843345368,1.4269074252100034,1.6334757357799399,1.6236569992031797,1.4843330197495535,1.7385153534853695,1.902695687341463,1.707165426634266,1.6771376515661613,1.897580975302724,1.9700127693953609,1.6923386069480923,1.683459226008479,1.483321970744757,1.4297287234616356,1.3572953099628715,1.2329169786986782,1.2385397938749465,1.1995894456123948,1.100689134460605,1.1146056359604855,1.1629243402052816,1.0387232221599192,1.0917655340378256,1.3174709829090296,1.1906211847909747,1.2377663206336371,1.30441835703208,1.5619228693802418,1.45665073487255,1.390100302759618,1.808090045248474,1.8041779916453522,1.5277594469135538,1.3385196418395093,1.1230183981722652,1.168544844849766,1.2262393893090473,1.2480043256663436,1.4733892674303894,1.3849155159749271,1.1402706255117523,1.013892243428393,0.9601611850393821,0.8216061231959951,1.3257669915073031,1.0035409797340376,1.2103966997233504,2.083495659698699,1.194925351907479,1.4012012351926169,1.6243697353101971,1.2557136936190183,1.7207401002755272,1.624293854940195,1.5142324430795617,1.8153502593185817,1.152649858974912,2.1320816516093553],[1.056033984167506,0.65475799835811,0.6298150603774779,0.4619731087435722,0.584122856516146,0.48803330846444004,0.45612186347813694,0.47341778865760814,0.5023037316263412,0.42184776075262603,0.42267378270623385,0.5063119743252529,0.4411780932049882,0.48511204661556073,0.6419513461151651,0.5313236677909127,0.574340859111391,0.6095036445920184,0.6750872491928036,0.6540739824594896,0.7239877932103229,0.7500275292382277,0.861736249827191,0.9968928087594433,0.8445632690288873,0.7585977337774166,0.6520738853577823,0.5919052090634421,0.5714393202872267,0.5346153056992531,0.6053033849128471,0.5108342844712792,0.6180931809737197,0.5994782839778517,0.5384663738337849,0.5649475944264737,0.5225911535010518,0.5704996834686806,0.5861907019669252,0.5819173175436801,0.6573679170704324,0.6866613528450198,0.6636302648024976,0.922596160329749,1.2844984600465512,1.7074969992625315,2.020770834052499,1.1992141308023998,2.3097223734621743,2.3369215883846794,1.217769002746483,1.6837110691362909,0.9673525687637294,1.054690085838604,0.999606583498032,0.689543131690686,0.76697186594078,0.7224640708073715,0.7647937960880377,1.1103001438277824,0.7876797824798717,0.7534329434409337,0.708504647134511,0.8679484032655421,0.7514073664638622,0.706795764094333,0.8560943252804901,0.6824374763801336,0.7796131392543233,0.7956205692810094,0.8331969801852016,1.0637891574119283,0.8921236974974285,1.0393847330904418,0.7445554515645071,1.2418672122435397,0.6811923149111914,0.646998685077895,0.6034010577348755,0.6323517372231774,0.5364175290476586,0.6003720922070721,0.7737661284449355,0.5452465973347849,0.55400724789391,0.5500781916575075,0.5772432173647112,0.5769977428551395,0.5654111742637994,0.6446093124824263,0.6326227528536827,0.8580208024263749,0.7371693920060945,0.6718731060878023,0.6141282675649107,0.7126012784092579,0.6839605342386346,0.556292995834772,0.5020453721067936,0.6131709103853037,0.4774780185775176,0.5956823240406404,0.4575250047839765,0.56315975241149,0.5684448969895224,0.6188876954451353,0.7030413675975237,0.6686977228129717,0.6510071193816763,0.74828038854853,0.6254240519878329,0.5313548900883052,0.4549778579000811,0.5157202158609152,0.48778483472858525,0.5220914962625756,0.5813583804843754,1.0901903486586468,0.8684486231787854,0.6574003850796484,0.6677780136867143,0.5678393684879215,0.6780751943462384,0.48524542404505483,0.48434755910940985,0.5031243162113128,0.5527751806068005,0.5423384559283938,0.5910298082246096,0.6712103425823013,0.6925670256064955,0.6962116825603858,0.6831956366220724,0.6934596388322608,0.6494658757148558,0.7812015476440443,0.8106538421171631,0.5730625801351173,0.917102081069205,0.7112564937131987,0.9364258426688222,1.0559185408460512,0.7221424934058985,0.5916431450845167,0.5657335176986673,0.5165794070376862,0.4959016214387343,0.4688357218643228,0.44991559244758855,0.4832271164694935,0.5680488246105034,0.5551022646411332,0.7349670005025178,1.1362651407885498,1.032184778276897,0.5851448392448042,0.4543591890725418,0.48745746183776484,0.43612329268037264,0.5015290464790969,0.4899995245914839,0.5126959747291802,0.5374446863415484,0.5408337190990348,0.6583328350578772,0.716043647919788,0.7001236063132082,0.9100722324163893,0.9178343286186339,0.8603610393506619,0.6996980083489208,0.6239853393822812,0.5869199853347408,0.5353173464141364,0.49382469426707887,0.5135374419121195,0.5463673216860232,0.6540620442717058,0.5540754861257531,0.5552445018958168,0.5248896933602802,0.5544557165608961,0.6228589304461966,0.6967239102965269,0.7127286791729555,0.725578225336333,0.702028465351354,1.0987703791098276,1.5216345440835397,1.2009905870255404,1.6555523242245866,1.5185946484431947,1.330970362781207,1.1973291421671224,0.9868907529726957,1.060016755889788,1.006302359377979,0.8592566278660015,0.8252071003857481,1.1469593036918349,0.8233887426785274,1.0357575631560643,0.980608037737878,0.7987849274753022,0.9030286904454989,1.1245686757724482,0.9911786002254178,0.8776385734318316,1.1766006235644304,1.2289060077833196,1.0296285149042397,1.167801349675176,1.4781780253724102,1.2694770222894651,1.2429832187643315,1.048031080737968,1.1833635771094224,0.8942665155365317,0.8506003850526288,0.8967741003264711,0.8775557956773216,1.5482366445455351,1.031834090795452,1.3894828623094675,0.8867115119666087,0.7844672133553886,0.9275722728653104,0.807218493869892,0.8063268816384168,0.7340627474842355,0.8219037329734237,0.9947577912568635,1.0741215343709423,0.873248662080992,1.0206139360187394,1.2510332268794582,1.0876401164380998,1.1616205303796014,0.8064976918171987,0.8365101070906654,0.8463574429370556,0.95636334142822,1.182929178944012,1.2647763503662384,1.4360772840485212,1.221543586302085,1.190928428410672,1.4517574240694078,1.4664766101814284,1.2743489321969763,1.5058607033476552,1.6922554540762729,1.499928006194669,1.4342144684393283,1.6568380871979942,1.7716985979459865,1.4460074089744788,1.4024046867086304,1.177896796949469,1.119519515588414,1.097417843375984,0.9160394585407814,0.9002002192147777,0.8904137984950011,0.8030854400085405,0.7473615993044641,0.7953737940875631,0.710580425504491,0.7700801049500972,1.0287909965417064,0.8695205354237496,0.9515345942228756,1.0372896714698236,1.2945150778251022,1.18430697333052,1.0942404247907251,1.5896340014453902,1.5769938993335566,1.208183195764094,0.9947595167663232,0.8157211989878853,0.8959003591499334,0.9273630265339341,0.9214189377426861,1.1700331764991532,1.0494486994807108,0.8260092347840252,0.7847333279557727,0.7618369051459896,0.6567509748144508,1.1779181079774954,0.7867539567407649,0.8848194409160111,1.8746676569120033,0.9747220497242873,1.0621860066809574,1.3176272609261135,1.1076750642063433,1.3228287397288545,1.1889776953138946,1.184056066368416,1.6905908195226889,1.203555043845133,1.866235287688809],[0.8938849057228885,0.6112585724028301,0.7440809135437059,0.49693238684482344,0.6952190200203048,0.5259096585290564,0.5011851684562194,0.5243811536989808,0.542345445004226,0.5047293625714041,0.5232174440722789,0.5699258549083938,0.5547469419792841,0.6411976861546405,0.821916543252208,0.7065610941131352,0.7588353643332809,0.8463751323574442,0.9473029755739408,0.8992579078258923,1.0215453854952876,1.0451694390465671,1.1527933073735535,1.279067264211013,1.1497789706536952,1.0580694264829629,0.9229759582302761,0.8542111063157242,0.7939061878406726,0.6948199264379599,0.7930860533252507,0.655450069593232,0.727597634992168,0.7739809979397884,0.7175654541127892,0.7751791817966968,0.6847310118277454,0.7943173161310276,0.815998486252145,0.81257763560312,0.909208174073191,0.9369987553124038,0.9108259275437995,1.1248760153253148,1.4059189506480576,1.7225289505951455,2.103786981941838,1.31475733620621,2.27135515362068,2.3525362969889616,1.3382643482049703,1.717232023636764,1.1231918680149258,1.24281836965105,1.2118438742552906,0.9026543137308674,0.9823251147716756,0.9497743495082,0.9719065204854818,1.2879474265075395,1.0021352340003429,0.9980099106759032,0.9601442761084386,1.1542407090401265,1.0198844427581555,0.972500086081515,1.102796778044657,0.9229746486784606,0.9974026632337258,1.0606291437379245,1.0338532893763313,1.265906994119665,1.1393890830645266,1.210405879375091,1.0028460322758546,1.4377473080471055,0.9247286796648584,0.8852427901319978,0.828001175271048,0.8693863397068169,0.7351038787719586,0.7893018220220999,0.8714644611766655,0.7108320293593758,0.7500940431452527,0.7344702885743951,0.7965734566643753,0.7136120756161459,0.8031606795761506,0.8310616006285927,0.8323053801505462,1.0315234840101546,0.9396263533914653,0.8732362903403217,0.8015739626662265,0.9063100985850178,0.8215919096059977,0.6793642021051695,0.588960285715314,0.6566085078001439,0.5753154686815,0.6276743136641839,0.5574212554657492,0.6140096259143112,0.6674060874207719,0.698508473302455,0.7691299639437562,0.8078831672353803,0.7718418523884099,0.7938310682246333,0.6988347341512708,0.6158214520807518,0.5404968580312731,0.6359592043147597,0.5960970508158626,0.702497624760704,0.7881562004398058,1.2948043581824373,1.1462053193668398,0.8975302163496363,0.9288196036268951,0.8034654122013201,0.8578142726595791,0.6444475081541469,0.5868790248748715,0.6475530469193399,0.6532850429190901,0.6748710841604154,0.719968447953172,0.7793992305867851,0.8749699877309152,0.901517926962725,0.9267744801814024,0.8395146136835088,0.8619872374627024,0.9505508113276655,0.9842758022360408,0.7679584719453524,0.9646377110578865,0.9140142555114262,1.016218921370153,1.2219446438968629,0.9798991291128223,0.844309140312619,0.8355092433269955,0.7358168546581985,0.6992837896690064,0.6275587167526951,0.5582293489344207,0.5628097261073117,0.6290187716644393,0.5914501818719377,0.7577323291532952,1.1387181643104038,1.0421467949210061,0.6338949435221629,0.5201914424559487,0.5288218640196859,0.5296685257011247,0.59362315761702,0.6418452506992836,0.687583346301224,0.7494397490830444,0.7522358175228268,0.8909266651981046,0.9346880678597129,0.9351327044748622,1.1339368537370924,1.1352471609649135,1.056486546473551,0.9311574076146333,0.8392607365180705,0.7977394759374973,0.719698446804349,0.6617766306194452,0.6257969221635895,0.6650412006594477,0.7214720976062474,0.7055454497818389,0.6654939175065807,0.7181790069617872,0.7191366777125842,0.7948841738986134,0.8936738129155384,0.9160267255766824,0.9095256056185756,0.9187771784081626,1.1923013992173614,1.6283089288052377,1.384050558079114,1.7999207886973427,1.6127834337381861,1.5421146046809007,1.4217287546245638,1.2297425338233352,1.3340360177126034,1.2194761232610487,1.0607020388171757,1.0198833453376006,1.260749074899222,0.9308549052061273,1.0717857758481846,1.0594154794480795,0.9116679507379309,0.9399299413269968,1.125783262783642,1.0623854482673227,0.9331146364394427,1.135963076536025,1.227753842641502,1.0775748367735754,1.1663715932715117,1.4268106178497062,1.2751880533690918,1.304685230877266,1.1800673027196777,1.2013939897671941,1.0958031242316588,0.9858194210572778,0.9944903995193405,1.048229782127963,1.6278699171514315,1.1713410134829372,1.2520443148314349,0.9497665051138448,0.8771111981406746,0.9984916424082921,0.9365437693881312,1.001602291548509,0.9015994586612579,0.9746327718527207,1.2191357312350555,1.2523779122383172,1.0911007237946961,1.2417191243130459,1.4921375053030608,1.311053089117497,1.3392780421658492,1.014621717368475,0.9833943614627142,0.9534612692308095,0.9955961264284098,1.1726868389711143,1.2191926198245044,1.3658941324097174,1.1973356954714358,1.1334292693732393,1.360796137657771,1.4045361104626575,1.214694426765065,1.3991002220561062,1.5813232766609573,1.410916605823278,1.3224956240641643,1.5268408209829858,1.6689045538887026,1.3397002158224012,1.2896316643209003,1.1038749134947194,1.0483183415411619,1.053909648876952,0.8940111196434324,0.9388418889876657,0.9333435055968263,0.8651955781164206,0.9014122843269994,0.9445908973328625,0.8850069278764647,1.0006107115677612,1.256370435432044,1.0773069991573798,1.1785513652763093,1.3028501671592023,1.5232610448585002,1.4054460226109837,1.2698442109495294,1.8030341442350875,1.7162384367713852,1.413933371372929,1.1780035615862554,0.9946839207336938,1.0466891026966834,1.0768336851844078,1.06464043648055,1.288009722853381,1.0887142812539563,0.9764560212769597,0.9405288537980988,0.9604467000508475,0.7896332700507231,1.1645803376338406,0.8858631656295812,0.9095150913717477,1.8407151560892892,1.0505644490516683,1.0830949400057288,1.2901433316611213,1.0818311790548085,1.11655241625168,1.0355421882634404,1.1442904521629707,1.7481109044409195,1.2343784016704562,1.8060012456644199],[0.8270058856502652,0.6461312564531114,0.8672945337883807,0.5545983587377132,0.7867687553785665,0.5769994612574803,0.4853690799931563,0.516635943573425,0.4814427449920807,0.34801981809582394,0.35126464953682385,0.44993405835754996,0.3792649462105249,0.3918766096430736,0.5599285595509795,0.4341219619164082,0.5030120807023626,0.5616461808366501,0.718818497872846,0.6456465636285504,0.7739502683644907,0.7891711427285737,0.9465205714573541,1.0476726599641815,0.9088831609739046,0.806120355624459,0.6358982897829732,0.5640630047805961,0.514096498341715,0.4424430781477943,0.5160578356866736,0.41533789602551746,0.4871561229214088,0.5006144705383597,0.43873604138394173,0.48548374269728295,0.43305582743716864,0.5184596373431808,0.5269376517186293,0.5280361291111026,0.6602911090860057,0.6796770862998892,0.6362695658632486,0.9430264975118265,1.2890412518117027,1.8253930171111017,2.1774500172369784,1.3093016604658176,2.41809951590955,2.589425326059391,1.3469298353387933,1.7693942770329274,0.9762221384161702,0.9972741672340589,0.9751357922244146,0.6943102423591146,0.8079187026512259,0.7295455220146102,0.7678717675128895,1.2076885651808,0.8561893649479818,0.8115610773175891,0.7270313580817432,0.9112923277754561,0.8166102095977212,0.7338392108958907,0.9008320628434074,0.6932003509865958,0.8243439690732992,0.8280112309484423,0.8749084699029895,1.1028293465251195,0.9281369799058612,1.0667352620495414,0.7540333481710156,1.227474082146234,0.6849745113200812,0.6060221839371301,0.5540638617981181,0.6032624289697219,0.45687710775062756,0.5324730048363803,0.6823954756128001,0.48446107400827765,0.47873884546815515,0.4433646428648242,0.5120446791513547,0.49138587854656524,0.5214118456360586,0.5870883383491048,0.5657803259063525,0.7796547554438993,0.6801431799621857,0.5655390594534601,0.5141888312119104,0.6192647607634552,0.6269193894934892,0.45294052431908793,0.4240915432792996,0.5595582936990426,0.42711007204773943,0.6105893066463828,0.42888451414097073,0.6146719929577023,0.6308184263838598,0.6861317391378418,0.7850405037109534,0.8206177734159257,0.812935985200375,0.7956354472105787,0.7290505279032723,0.5684663274629366,0.4636253922189141,0.4365357005899848,0.36812586316480395,0.4163627103792046,0.5284229983357847,1.201292592744573,0.9507356641845267,0.618505600561486,0.6662650394498422,0.5517341135946414,0.6095275701764759,0.3474716758908158,0.3839634328924833,0.4573752027258397,0.6468834989798379,0.6208405197578847,0.6811796663426584,0.7359155024270932,0.8428002456830449,0.8918142772551215,0.885670048442855,0.7797945633755182,0.7692717486860797,0.8555723847206668,0.9390065788269213,0.5981939558472894,0.803085876551704,0.6712047063851494,0.6703525557783049,0.9624973336804096,0.7612806070112886,0.5687387331045721,0.532972715362114,0.4380334346064414,0.4023120045098329,0.37407975471404226,0.40757500253760076,0.48895163164105454,0.6648581423831551,0.5872205326162585,0.779986246047224,1.0669255677743101,0.9475255866478656,0.5886564176126229,0.4457969882438469,0.5334495068284582,0.3986828550806099,0.515604809376932,0.45061291672068543,0.40911232293011796,0.4610841008030831,0.4553336770209089,0.6176218836305549,0.6965417450500623,0.6932903122650327,0.9424358464864453,0.9937672670737445,0.8722936191168513,0.7209993478247411,0.5841937416458086,0.5498930446673772,0.4908889720410621,0.4385368147462614,0.4906099367511926,0.490980424384931,0.6160677344680162,0.49573809557712184,0.5325019787943089,0.4889341485512681,0.5877547013519956,0.6849804576386775,0.7745188401361239,0.7629984180210205,0.7290504685341613,0.6829657886535002,1.0441530437517084,1.4889926185440685,1.2980715318141818,1.76864413580662,1.5502548322953975,1.490675269287794,1.3702869064857837,1.207373141661061,1.3373227919842883,1.2134256067724234,1.0900020993386594,1.0600975059762885,1.2707764619084727,0.979061619531612,1.0846918606227844,1.0842981799297804,0.9753319039034125,0.9903309324511286,1.1371172014095623,1.1083865633564614,0.9909484578443108,1.1384558361429817,1.24243233124153,1.1100543570065442,1.1726478042676722,1.404709144107875,1.2698372142341583,1.3195468664764287,1.2481274751715525,1.200914850926573,1.1800156415187368,1.0555523173013526,1.058479949666497,1.1442642704243342,1.6820835964038965,1.2750941040437045,1.2660746993507557,1.0437103057504782,0.9698352968444809,1.081091254158163,1.0414759648678251,1.1265052978662127,1.0037243485870815,1.0623506326292707,1.3249861633814075,1.3592062380772911,1.1757766564479344,1.2937114962042966,1.5861291853616661,1.3994574117581635,1.3715894710114236,1.0796146727531233,1.0200935354117127,0.9858598360536377,1.0317112141054476,1.158676619358446,1.203959535199253,1.3110655268959597,1.1770752817484949,1.1144567091694757,1.284022777918522,1.3505494725191272,1.1835623726507927,1.3245807565706984,1.4897840258883692,1.3628075837768194,1.2659226643748283,1.4350428135689008,1.6099405369540194,1.2904103664350186,1.2421767647736228,1.1027093857572154,1.0521338032689145,1.0619634416118793,0.9301649573403333,1.0108676041189708,0.9870240122860413,0.9479691325137845,1.0108359840657832,1.046534928233811,0.9965646275201312,1.1286444434183684,1.3710641429228576,1.1787393970217603,1.2651380452135363,1.3936354992380477,1.5914709336350372,1.4679473587282519,1.3368674898188015,1.8569798573256822,1.7546445331862897,1.4696614332959068,1.2333473283770708,1.077909174560932,1.1269080023235414,1.1469525935876792,1.1410669144039394,1.3525511606718643,1.1834417566909086,1.0443467195957796,0.991199780413584,1.0215501413931518,0.819274928114194,1.1476652714761268,0.9897700271549725,1.0240178051439088,1.8822242375300835,1.1912442144496702,1.19090455019743,1.379252106344232,1.1062854097231034,0.9809257248497227,0.922099985602051,1.0000734738686001,1.6883629203424846,1.1933270374558616,1.6220338804403611],[0.8545109893546395,0.5833959704520437,0.7831870434427634,0.38326252019063145,0.6377710032695179,0.49282462500058355,0.41319495841909043,0.4381313214453182,0.4541006420352745,0.33885267627215887,0.35976381873790453,0.4162079193384562,0.4010421965750043,0.4555919753555139,0.6261094700189038,0.4986721765248751,0.5610604776244463,0.6256439894685136,0.7780098866613883,0.6968981617697769,0.801390748021664,0.8055719554532471,0.9694877423336559,1.0397687460719285,0.9142973465038884,0.821236944499833,0.6632130551047036,0.6166735722573617,0.5754297211340927,0.47839306919334473,0.5674938248139599,0.45057673649667324,0.5183995580612584,0.537156091062634,0.49286390642013844,0.5364215162259026,0.47594060852004794,0.5523506113508793,0.5562987441938123,0.5445587925057734,0.669915929506722,0.7088292109623457,0.6622651456565939,0.9610145422023243,1.3091793057760093,1.8728531707137872,2.234643570789868,1.337672392243281,2.454942154059466,2.6424627436769477,1.3807273790354095,1.801782549624408,0.9898045358769538,1.0022588326781294,0.9935025951219482,0.7358393475008802,0.845148625759065,0.7577843151138585,0.7939475240193404,1.2476629486082744,0.9043679413835803,0.8524320004637331,0.759222123715539,0.9172483938592098,0.8489745475270345,0.7668714064134423,0.9248012408407869,0.7509630053598344,0.863508979307949,0.8904997140251059,0.9327565615467778,1.1532308646076885,0.9747036591600358,1.0914815285194968,0.8053150125071917,1.2295081270571602,0.7324008159388288,0.655488020265538,0.6164701203955681,0.6554048913878016,0.5021339316594764,0.5654127041677265,0.6937004306476539,0.48859121271533273,0.49937319730585455,0.4696518622352767,0.5512060030912183,0.531262787427205,0.5789800278388609,0.6300177884391162,0.5972427893142451,0.8063414779813465,0.7249838766647128,0.6046633849964373,0.5692754968639954,0.6742404684804219,0.7083227664930906,0.49214412210562797,0.43956389825239073,0.49959392641420963,0.4233693136800166,0.5534398063798848,0.38338077039066387,0.5369399726670205,0.5690332981179904,0.627780424332548,0.7184672035204129,0.7836700672737218,0.7467119007192089,0.7240178703752514,0.6505522471080079,0.5093925854321631,0.40215925570038735,0.3969920536254749,0.3687689965566514,0.4524404179631052,0.6016840353248879,1.282057858117303,1.0051355378107514,0.6839468389930318,0.7350599197056951,0.6159803182027657,0.6761201022519615,0.37085049484502364,0.33081443026234064,0.4230491445898719,0.6094440545513004,0.5587059166325287,0.6293061969108855,0.6962744471615929,0.7994102196848415,0.8449286349037267,0.8529227750769677,0.7404369654753875,0.7391037801847479,0.8381620126037137,0.9003464001822383,0.586686732108135,0.787700765412139,0.6997500897085105,0.651958069542242,0.9451190471545825,0.7886465866720758,0.600441388297385,0.5545397229632549,0.4683258837132014,0.4294321463383664,0.3759182614630348,0.3669352061792014,0.4120790954711925,0.5639536083966734,0.48116917964534817,0.6527632066149265,0.9611860083687241,0.889301336157665,0.48454038384503295,0.38152226044374793,0.446121115861593,0.3612832570923206,0.459454537017444,0.42862245253218245,0.41826337678120756,0.47798935661273295,0.47016716586817053,0.6178818810085269,0.6874937386774915,0.6843881770742026,0.9319085457605071,0.9846205604797796,0.8646954354124524,0.7133108086508932,0.5746498090824916,0.5428282161613055,0.47851786463616847,0.4270133360315749,0.46959523960288063,0.48437623989611783,0.5848160897788238,0.48087530389072297,0.5061516894389874,0.48822133347207153,0.5541920432240385,0.6545672633173499,0.7565427357200765,0.7455742563636866,0.7132306008402173,0.6798734200519655,1.0266225913124085,1.495331372818043,1.2936611455804692,1.7704048721691592,1.5556061643456662,1.484422484160777,1.3569804211630572,1.1886889113413794,1.3137466063365295,1.1855834959097136,1.0513801283260478,1.0145469037644859,1.215083915558879,0.8968286083521668,0.9887549389073746,0.9950514899613654,0.8702485879217794,0.8652562605797203,1.0189065628821636,0.9811845291616865,0.8599204478827824,0.9913096974666555,1.112217344150271,0.9725213178957637,1.0277755687798311,1.2760712183972172,1.173267222799925,1.2065155641666094,1.1408441125794386,1.079156161556093,1.0426575154508229,0.9105362515634206,0.9139137143331801,1.0281042060262828,1.6124041977759849,1.1934485832152437,1.193654394686988,0.9045512989461076,0.8238614271848315,0.9607474581352886,0.9606457566669246,1.0204579572480104,0.9171119928775578,0.9987454409885363,1.2847511252095847,1.2952179853374448,1.1260478505186795,1.2638229930764353,1.549692367023678,1.3601689682348996,1.3645183548270907,1.0354819233627464,0.9554190054354573,0.928901523790761,0.9509802616409048,1.0968061037874324,1.0947183883416562,1.2257747808243609,1.0908332991506562,0.9941971051497496,1.1651123070295235,1.240675803698111,1.0500547679332857,1.173616226941615,1.3420463384071748,1.222012928829874,1.1122142070416299,1.2743328077521898,1.475905169266552,1.1255380641096182,1.062394051371654,0.9309768233304792,0.8900747918587961,0.9148254929807573,0.8030233487954519,0.849188214133296,0.8407138310669152,0.8253183354813538,0.8818302056437317,0.9174936947973823,0.8965015528904072,1.0527387117986955,1.2943668592606221,1.1004258556478514,1.2089261985912145,1.346551423344666,1.523756408962637,1.4150257523240548,1.2476858792744439,1.8151613952228955,1.7129696395731575,1.3442422715526305,1.1100904470148283,0.9245328389948042,0.9909833949494665,1.019243640705112,0.989802897306201,1.251606637013585,1.0612409575009116,0.9427778809225547,0.8982596693112564,0.9713296442125477,0.7417706568523538,1.0513659403067845,0.8729740780902872,0.8752225482417091,1.717618842066909,1.05789924533032,1.005632959811291,1.2265367051868803,1.095107986957318,0.8678465556139435,0.918365526634281,0.925807417526014,1.6027634417288281,1.1809287990700852,1.573993192135557],[0.7945863029563587,0.48319944516398233,0.6682796183442661,0.36714668081861274,0.5709333183617538,0.5221238560420537,0.49861362132807807,0.5300023991955282,0.6345291196226122,0.5516472375885466,0.5904106951215596,0.6091300290089836,0.5747757363870228,0.6555823548992696,0.8250989045625278,0.6891589467816381,0.6928391617944406,0.7467032221609239,0.8121559259450015,0.7573733815228403,0.8452538820815135,0.8607077787658302,0.9771163263754423,1.049415581771952,0.9434298368160012,0.8565307999034424,0.743876974538545,0.6997134594864113,0.6760225784575585,0.6295649772540666,0.7274604335643503,0.6467457416729707,0.7045691293752313,0.7260206691922961,0.6837811629518254,0.6944970959438425,0.6342542881157385,0.6806616179827818,0.6775232852039941,0.6481246206633232,0.7409631215773043,0.7796109695571023,0.7401089124798348,0.997687441441601,1.285730658425052,1.7326670977174172,2.080449233487533,1.2768811103325046,2.350886381647082,2.4428534245920215,1.3094159502942069,1.7246269497683073,1.0136222799923773,1.0884213159742864,1.0617287342799027,0.7713363042435902,0.8735920743312726,0.8374132417767443,0.8651479361318327,1.217535502246186,0.9117162114721431,0.8982310015153855,0.8615427892758636,1.0059703381052343,0.8739095149171131,0.8383589744306579,0.9678777644334763,0.8219561637636257,0.9049527497940669,0.9766345151287266,0.9825624050070447,1.1905216537808063,1.066588831219646,1.135897126800244,0.8945756664230481,1.323415360902816,0.8231433971330744,0.7841310366245576,0.7436649550042098,0.7736626300196943,0.6504006412948306,0.677394045210356,0.8704490466355903,0.6040614724839959,0.6082539806052398,0.624422148217292,0.6873230172468523,0.6463342022076918,0.7107100177447824,0.789680879852633,0.7631686765012763,0.9536988233391043,0.8710856341550443,0.8199029705278461,0.7883542731566474,0.9019852198672308,0.906832082657794,0.7072790181324606,0.6430613637377358,0.6843992151890701,0.5927455210506838,0.6477409829529839,0.5481451113523718,0.5823967415704574,0.6062125066013625,0.6383352224078025,0.6695662895914939,0.7306955715901006,0.7119685413050748,0.7021758710499331,0.6158847713867528,0.5463469463377701,0.5067329990137769,0.5447848745328432,0.5287007217922873,0.5804353537794442,0.6594373303328663,1.1930321601353968,0.9913257625475204,0.7763871591938085,0.8164574327575127,0.743606770819246,0.7581029998940062,0.5379789358178826,0.5137863288930204,0.5265469319975717,0.5955552627016335,0.5684632646754895,0.6130470206937634,0.6743323541243095,0.774724604853401,0.792878615009236,0.8038956837606237,0.7394473749038735,0.7400482143932496,0.8388070713529256,0.8481358202148768,0.6283516878923691,0.8850886269079262,0.7953559932912337,0.8021545906117584,1.0490944918678065,0.8070596982317287,0.6532351837033112,0.6316687346877197,0.5935190764387207,0.5554953241082904,0.5415142215045539,0.5000987635196218,0.5368178700915324,0.6041849303335153,0.5762309780267929,0.6737326280752612,1.0921083792130477,1.0092758720047177,0.6352024687326068,0.5524440105353464,0.5176023199243106,0.5330255960267531,0.5353604104975697,0.5447643827292858,0.5849350394971986,0.6015558006414127,0.5943592887365302,0.7054921815432391,0.764343398553837,0.7570848044320402,0.9774217343068119,1.0080108393306086,0.9241380089384902,0.781634818528815,0.6873879222886901,0.6465897166108756,0.5903680810452254,0.5558990909963085,0.5501388784407073,0.6172877839150507,0.6903843308887055,0.6119581195813282,0.5903083626853104,0.5850320296214816,0.6238598114503497,0.6828882993366259,0.76703790791987,0.7831867090033496,0.7854976136414643,0.7375030117393944,1.082474364385921,1.5480095871004724,1.3035952393779164,1.7778464445241444,1.5990076639332975,1.450280064804624,1.3240929425447165,1.136119111666895,1.232396761503809,1.1407103096507456,0.9768429117655033,0.9404393492151649,1.1990063490072804,0.8427686296623343,0.9993474603171666,0.9830318545348814,0.8044542215744813,0.8330013042238635,1.0418350440683957,0.9508419217220782,0.8051451110838012,1.0201326209738657,1.116630393195988,0.9266242950095427,1.0107262092902642,1.316653721179216,1.1544641693227775,1.130059688960559,1.0153220733155712,1.0172821113587953,0.9220188922030824,0.8077006246096967,0.8173767727835477,0.9052616468895487,1.556024664057828,1.0662910976475808,1.1824799585402104,0.8482422151269852,0.7611425365618405,0.916706486173242,0.8543335104437606,0.8744164812856733,0.8016975343906213,0.8788053314405516,1.124034002313292,1.1439816687321924,0.9827892941550866,1.172237249856934,1.4290589324712264,1.2493031720302195,1.3294693407953317,0.9277806614426181,0.8911308598015389,0.8901982997394393,0.9292394331596858,1.1337676440386941,1.1673430171700172,1.347371496558857,1.154419733716795,1.0707241333144109,1.3163047006913653,1.3674619015709346,1.1327412444394158,1.3137452465409676,1.5009328008528842,1.3234969416959341,1.2108468699458341,1.416966023609802,1.5811324386867625,1.2072189501426667,1.1365897451974092,0.9534589534130277,0.911995708595552,0.9349481503613022,0.7663112336272545,0.7665090737463954,0.7784087118137222,0.73011765088745,0.742427619983745,0.7837232912492896,0.7640265018710416,0.899577309401064,1.1422369604008553,0.9768225215276407,1.104870428750827,1.2310915453288522,1.4360645658926035,1.3275651728461504,1.176064493300829,1.768025484140284,1.6889262459838126,1.263023790048127,1.0338403268089695,0.8238252718227767,0.8772038703628018,0.9364290116338395,0.9242033787425282,1.2125208944283739,1.0367287354765529,0.8758093979203045,0.8407744257866869,0.8832365353111076,0.7082131591828231,1.1038017466755092,0.8080691387855009,0.8347444067162577,1.763698740294278,0.9806486434480324,0.9939010929500377,1.2528753481039936,1.1336460685310144,1.1390877216634714,1.0608733548589961,1.1121095579500375,1.604317000912061,1.284154690494688,1.8000106549762465],[0.7964971524574771,0.45663464583925195,0.6495287384728174,0.2559391302857475,0.4819964389083814,0.39193545579947864,0.3227397208406166,0.33851615532602536,0.4041566960237662,0.2785170671108988,0.30935357993338797,0.37615256954262555,0.339196261082237,0.4031111155842959,0.5872221516502977,0.4556728098718512,0.49997160237159927,0.5472433720925676,0.6571849372949419,0.5990587315846616,0.6667871401770474,0.6831550115185905,0.8132124026873673,0.893734081934562,0.7916171962759038,0.6902264816763317,0.5790920906808976,0.5316374657507346,0.5059203736772585,0.42985389708525795,0.5220844162051994,0.4099713942294751,0.4958414437577128,0.5120046672889705,0.4524183922337781,0.48405230361944873,0.4307011917161968,0.493744905114193,0.5058099042869154,0.4975135376090911,0.6143255503140197,0.6418500502281916,0.5934958717059847,0.9072462764716949,1.242542389540173,1.772019296875479,2.075548069789235,1.2290119310545922,2.429291735354727,2.4931277933689975,1.267925057929276,1.7119979074063214,0.9524547977618318,0.9701515974421436,0.9628896641425617,0.6420360165250969,0.7510778586649841,0.6907572888929432,0.7317150595761865,1.136963792583558,0.7785631701089321,0.7452307494048646,0.6802537711992626,0.7973759832725088,0.7117385625253778,0.6530791594040997,0.8051083968128707,0.6504313801927291,0.7498920605411478,0.8007075689850716,0.8195035978416241,1.0412290121734458,0.8732283989802258,0.9843750939605015,0.7171054319086098,1.1595207329824884,0.6435404422038629,0.5876530118857926,0.5541162081747985,0.583934535173011,0.4509248623633122,0.508466656017973,0.7137565177622174,0.4524599620015985,0.46369376855239,0.44519693944442407,0.4967099179003325,0.48087729922600614,0.5109443619827935,0.5914258089339456,0.5469866130187684,0.7599988373567373,0.6817574342734564,0.5727876814900268,0.5332194078626991,0.6465250286635998,0.6878299781460133,0.48169848216862615,0.41336916643455596,0.45966607134380644,0.37273387257909646,0.46971495028127724,0.3294074295123046,0.4168605017993218,0.45456643011953624,0.4981721024282672,0.5504288510844298,0.634126328353223,0.6088753180274122,0.6054969344768497,0.4974338218132427,0.4022403906191053,0.3078903581858272,0.3499035454540379,0.3140971025321032,0.40123327459276314,0.5166531495816417,1.234167166015894,0.8644407128761835,0.5845960163222783,0.6336425845133123,0.5376942566870092,0.6254586991444601,0.3180579794677706,0.2610548589639451,0.3624019594458323,0.4777319807775079,0.4395724612751623,0.4870692116819625,0.5765557799207908,0.6921289648340289,0.6876092102185352,0.6912050029301806,0.6443893278484736,0.6290159812016738,0.7454124964004925,0.7619627718932669,0.5014985086965006,0.8899311335412491,0.6793611200701056,0.7639683356551116,0.946920213147218,0.7060482874587948,0.5259901743465731,0.48795592097208806,0.41370679131868854,0.3742476726311,0.3330205466426136,0.28207831961150165,0.32343642219328356,0.45328576145917315,0.40847882262866997,0.5668762689868785,0.931791445567597,0.9039492360691161,0.43150590563802027,0.31569194820804014,0.3166981053995692,0.2880705380336989,0.35476534915291996,0.38342052177490366,0.3998448644676622,0.4439699679934245,0.44181824147280957,0.5790650152465401,0.6708805381576456,0.6382592293790798,0.8588305756828513,0.9086807347780613,0.842499094791726,0.6731280501010354,0.5805122240600991,0.5260665663471356,0.44833536045676786,0.37916293777159077,0.38778385310251806,0.4455963259924138,0.5378956558899544,0.44761589905262594,0.44738993964992274,0.45482884220183933,0.480237117391347,0.5802767668842475,0.6783453626717891,0.6963760657426783,0.6763271532369303,0.6299305543418242,1.0131111659692964,1.4878934760398874,1.1780009371305649,1.6597068885362565,1.530432486861018,1.3292728581889104,1.2018443420089364,1.0082925019677358,1.1042867830436587,1.0590293833595845,0.9035085320083762,0.868049280924464,1.1628576000278539,0.8055286460711282,0.9672525624763282,0.941568010230313,0.7522008678442637,0.8005313208081918,1.0106686585979863,0.9074568495800696,0.7636595245871052,0.9840848988276376,1.0675577934246967,0.8696734498320999,0.9498796529649879,1.2439249192825654,1.097641837781107,1.0544484225705004,0.9343448817765904,0.9609473852575006,0.8260460285055501,0.731183679870395,0.7362057781257967,0.8153475948367247,1.562602068036117,1.0283464453274123,1.1601586968098243,0.8108153865594949,0.7221479784256927,0.8921390949577008,0.8131369500225928,0.7888534564776413,0.7445944266418048,0.8246108228586274,1.0275500538897844,1.0470145888983275,0.8925153254182411,1.1085993044354168,1.2779177944226146,1.126248810190629,1.2221456471224061,0.8534121967417299,0.826972804432459,0.8514230009790685,0.9211604800270844,1.128878251837172,1.1585504832922322,1.3426633491102415,1.1387217181792049,1.0541879854564196,1.286459986042628,1.3297221588383894,1.1085040838642284,1.282771252390462,1.4620216014426861,1.2862723024662122,1.1754855631262502,1.3614859395253702,1.5219161619170984,1.15448361219652,1.084720585475826,0.9125955589553681,0.8820986373162495,0.9133042799434418,0.748442366695806,0.7061369220392161,0.7294163666552079,0.684030407547054,0.6590601808536781,0.7014257875588686,0.6799697695609577,0.7792431222369918,0.9980149251681709,0.8740224662677412,0.985640302279343,1.0712047214259668,1.2588711279128064,1.1796960794799132,1.0568071083814365,1.5993869831770826,1.6088100918836314,1.139629955082006,0.9627902254199574,0.7441707263693286,0.786817264749812,0.8922935833314805,0.8520859167276541,1.132664431110532,0.9744387949238961,0.7839017072795347,0.7765065109712587,0.8008281916285317,0.6405618561419563,1.0873552185138307,0.6847161503220917,0.6990322346026319,1.6302991956261055,0.8186730851852383,0.8210642935740242,1.0733849362742405,1.0423796248284476,1.0463209714708264,0.9760729379243952,1.0167831248161794,1.489560847379109,1.3441471057191374,1.8156415981326508],[1.0661411496272646,0.5438564478793851,0.4921988618074021,0.27094581814289603,0.4301631792441244,0.3334695658830265,0.27198630508906846,0.30966622623438056,0.37632668206952974,0.2416945974714283,0.26558265103188927,0.37045845150345325,0.2862127878767206,0.32582489258958464,0.4574063401846051,0.36044045245379774,0.39304909692357604,0.39780430007791207,0.48673793385533437,0.45496059841139275,0.48629876212205336,0.5204057180049126,0.6263151712378736,0.7537198283919089,0.6476385160337153,0.5360152343031391,0.4634863498783755,0.4017547576574049,0.3857261396106343,0.3431326434077905,0.3991724411391399,0.3412694629972034,0.42803277761972447,0.4098362714383193,0.34595049571945685,0.356114387533326,0.3349830752347269,0.3869923705146703,0.396752714137746,0.40109036571197687,0.519697560032085,0.5193135523206018,0.4682326274831956,0.7777253649234617,1.1693530056506014,1.7005646618149073,1.9287101376394935,1.0934467652264104,2.3927823957048795,2.38093727139777,1.1482326957583464,1.6341445306035727,0.8931541950148864,0.8743651378266031,0.9090025568804001,0.5182564309425345,0.6194052905749128,0.5719954379742694,0.6472834139192637,0.9980360245949288,0.6623049746853672,0.6210816062508894,0.5553329796959704,0.6475368685171871,0.5715817188316059,0.5028577995680458,0.683491655582672,0.49684474610129403,0.6463995860930288,0.6254863135742216,0.7017512842487044,0.9455713573740107,0.7235974708300459,0.8663814281984222,0.5520366580982838,1.0325687796258747,0.4874911053478658,0.44414042120059205,0.4090829611980917,0.44467447065959564,0.36536287018666813,0.4362292971167867,0.6886364392193401,0.39769888172941104,0.38721479916046864,0.37384218009695913,0.3850431742897007,0.4166803545351245,0.37535073645088163,0.4838650314289705,0.4349620278490264,0.6519287560749145,0.5516645047433886,0.45021549907486863,0.41852575292840566,0.5282773132584522,0.5643911710534955,0.40009928147968543,0.36645311684700077,0.48619561978780473,0.3515189245682906,0.4850164515421159,0.3076554023499005,0.41258691443020923,0.4166649969840653,0.4618766891582128,0.5419583754658303,0.5102000233073033,0.5025807646298044,0.5909766502750338,0.454792919676496,0.34906363443961547,0.274868955558555,0.33260185352861243,0.28758376124994034,0.3554415941643972,0.4299364337103875,1.0628365949499194,0.6445613010659571,0.4361702044819613,0.45146301276506695,0.38995836195859207,0.5023978034672942,0.2939340243708287,0.2745365320202095,0.3436703087511777,0.35986572048701404,0.3651668622660209,0.39484782296241455,0.4772810571919576,0.5596178129232221,0.5511590373125478,0.5201690271082936,0.569068744541895,0.4871672272827109,0.6008846319391418,0.6737500289713655,0.41483005479945934,0.9772570092887518,0.5490713609297372,0.9518165648402693,0.9354651305420107,0.6008436445908607,0.4377739001245011,0.3938755433961924,0.3336676125482433,0.31507845862117495,0.30113417644899454,0.2639874935497881,0.3329540021791346,0.4398599742452992,0.41796818920442924,0.6183043983613433,1.0042884831224703,0.9184277496070088,0.44057486917812894,0.3025580627139902,0.34724795719215934,0.2738152553465185,0.3471115431210773,0.3415699146643497,0.33505399815750003,0.36826436699985404,0.3554916561260263,0.4840210443201765,0.604973487588606,0.5449377752780473,0.7450338783987842,0.7968992707031751,0.7614453598577477,0.5829427327264783,0.49230742425650603,0.44109224361698834,0.3789337240195899,0.3213012469357388,0.3643702552632126,0.3964345532380399,0.5447089021714017,0.39374584405322754,0.4142502452188103,0.37572137770707426,0.40453836419739303,0.49935712360574386,0.5857719481195915,0.6161127873457782,0.6193880230057978,0.5602502213285487,1.0120181047766068,1.4631139324276352,1.1238091412162552,1.5270314137984915,1.4106299394052784,1.1572025478819083,1.0371395788573519,0.8220342257790882,0.8890380764805593,0.898500544608059,0.7419944273303408,0.6960094189714626,1.0912221121354941,0.74850054817294,0.9943559373534429,0.9195314998407322,0.7064090354888684,0.8438580141743947,1.0769128299924071,0.9216254354776573,0.7868486970819637,1.1155618153973308,1.142921637302361,0.9142149384604177,1.053063600952833,1.3689566600326166,1.1432578760806482,1.078399589753758,0.8692003562640225,1.0452842697517248,0.7195039837544405,0.7089264982164207,0.762435090620869,0.7418845519286593,1.5865305906582667,0.9419204497612745,1.3190435592145302,0.8438007682598869,0.773523337669191,0.9246200656789066,0.7653615533594476,0.6519099743515757,0.6223130417355576,0.762737854482464,0.7984801840270774,0.8716230950808626,0.7092601264183913,0.9200279784854867,1.0139394680227762,0.8909706104486624,1.012908361581552,0.6514977116252838,0.7559839686167917,0.7983059236037255,0.9461378090502085,1.1811182102053395,1.289315381673533,1.4462529232707513,1.2173561831610777,1.184979075708357,1.439420461237813,1.4544991064020671,1.2606842507875442,1.4863187146944168,1.6646283090407679,1.4637400755702603,1.3824141053549392,1.5838463013180433,1.6949547724036855,1.349406458798439,1.2991158978355966,1.095376760479412,1.0661627407066256,1.0661225923559612,0.881933951459592,0.8069465712264117,0.7996797436066199,0.7114061110986294,0.6141316440030749,0.6573110702784825,0.5511854385232945,0.5748480996299288,0.810605029985059,0.7008984654108475,0.7553006135841887,0.8243766187739551,1.0855391164179886,0.998193220323092,0.9491676153666991,1.4121307049117888,1.5033423018925398,1.045477979576194,0.8829511763714321,0.6614382980285037,0.7160203865349251,0.8510430842672262,0.8220208542903527,1.0743741505017812,1.0078276535293886,0.7110655590110069,0.6772814712178878,0.6062171615240879,0.5354934110051603,1.1625640202576266,0.6514547329289827,0.7564306208349376,1.8049680336318215,0.8335359098431881,0.9233152962099533,1.1935928767313015,1.0382741160134399,1.2990788283961194,1.1540729190722698,1.1095274425098585,1.5913786982657054,1.218341518408103,1.785387840138246],[1.2698141059842145,0.6505455884770284,0.5535797735025599,0.25944200200972845,0.3658452193587157,0.30034895425326624,0.2500825083891137,0.31176590334214227,0.38705616277581684,0.2427425785341836,0.26817154377951263,0.3576867907469015,0.2715547006661025,0.2852629637157361,0.40386279667086356,0.3288336561455621,0.33712899981133915,0.3165970743963135,0.4072123877225395,0.39311022086628883,0.4036792278063981,0.4509028072330893,0.553914368133849,0.6769981156579129,0.5791593764400714,0.4603110032400763,0.3938938436594648,0.3263545675871417,0.303911884278712,0.30077945141324486,0.3539303481016849,0.3201880792638618,0.40592171126510396,0.3709608190954601,0.31281175850327303,0.30956167482668406,0.3084910990534306,0.31954157545334705,0.31578339502854863,0.3203256060674331,0.45199728435471287,0.43319977876753973,0.38755571611888806,0.6719432659076354,1.0887220505049524,1.6138109914809937,1.7809446056590468,0.9535127450279218,2.3323410473947934,2.2527938048515472,1.054425772120353,1.5420271560186678,0.8491434994824927,0.8003455514110129,0.8636758952916423,0.45091076326239066,0.5327144131272601,0.5229881474534586,0.6061294015876912,0.9542882550361944,0.6173817344965784,0.5752418231238826,0.49321648126474343,0.6159896468672986,0.5042600293961237,0.4263318446793363,0.6051176787680065,0.43853730420165776,0.5866224859650696,0.554663519677192,0.6593193114829441,0.886559072103792,0.6705683292127587,0.7900681085107957,0.48535758424094905,0.9655568817187773,0.4267482932960274,0.38591867002210667,0.3600840141475803,0.39548114796982065,0.32969334493665714,0.39864412715827663,0.6698431326249725,0.35790720564855455,0.3282905727590689,0.3166916497432814,0.3316579971372516,0.39225557428515684,0.32950933120378456,0.456957443738284,0.38098594119414836,0.6173098652764583,0.5110645578127355,0.39770865985473697,0.3744489435035024,0.4845840074826863,0.5410292045629429,0.3968370808331424,0.37536908137041464,0.4912484214426373,0.34471689648496867,0.47503784813040106,0.2975815414183426,0.3762128353698623,0.3653258709111364,0.3897252443353532,0.4699942291963836,0.4074047097976217,0.39737138565405605,0.5501063810791624,0.3677325398272551,0.26698415953084154,0.2272195792597842,0.26219299715909655,0.24724762965942268,0.2862915060979815,0.3924250594015253,0.9645797679315307,0.4940391162105179,0.385372357213981,0.3528323543984153,0.3297612935389259,0.3976394134107959,0.222873164666011,0.23469787898152097,0.28256797530837574,0.26738586003726345,0.2864516288565266,0.28485541079886056,0.38861890282251005,0.5439912734090663,0.48492616486718365,0.4472365059748137,0.5285069214348223,0.4226996100798414,0.5078608898306722,0.5704989238248219,0.38500654179208493,1.0127711435545559,0.4398744235507338,1.1449626417393448,0.916359668464817,0.5358607360058394,0.38423976033880264,0.32686254961329575,0.2761923002210736,0.247820508481936,0.2565852436222246,0.22630546328086296,0.31818803441431404,0.40540675181316405,0.4573717251298267,0.6421682566388933,1.0186494516090856,0.9562318149868582,0.4661113685998285,0.3129610635233202,0.3257539095322122,0.2572998197794135,0.3052978700497359,0.29355047832420583,0.2810850113636987,0.29418219449548433,0.2798738303667815,0.3955285722990682,0.5464061052364275,0.46570668611689936,0.6573329151324733,0.6987667643695585,0.7023522131489106,0.5036863213631357,0.4262966625482125,0.35688677163466787,0.3085666502699326,0.25340428333785286,0.315944180546605,0.37806860076791443,0.5400481666328605,0.35142788683661763,0.37131454178147805,0.30964062276666315,0.3432584992297097,0.4242045666260065,0.49482281396574807,0.5377260520013308,0.5568917480224221,0.4896291036077853,1.0074573835518141,1.4694975503586944,1.088205028476979,1.461722293578239,1.3997317108089347,1.0707374366411873,0.955027386937217,0.7426868788379668,0.7924919164850824,0.8692470108575899,0.681077753286107,0.615376235391941,1.0860149571493583,0.7713126840974875,1.0450829429392385,0.9374025711804425,0.7027318612094642,0.8843934010172362,1.1105845060121549,0.9237517649886083,0.8171861121235878,1.165610735802298,1.1430704811177126,0.9167276677808418,1.0740790677830714,1.3701953496676693,1.1334713477457035,1.0733470118886723,0.8600448191635799,1.0767333190606974,0.7106991571147099,0.7176013173799636,0.7883311224444753,0.7461608143369459,1.7221668294434003,1.0120199397789276,1.3725296278455823,0.9245223183369826,0.8761269409894424,1.009342676438077,0.8455929636112742,0.6612596092769341,0.6386406600921716,0.7670052229367713,0.7252172126874394,0.7706738800933881,0.6157321251387151,0.9016162205583074,0.8450770684518505,0.770725972266678,0.9143171307262166,0.5660612121904834,0.7456586882073432,0.8382563037008597,1.0156271276982536,1.2725474007368216,1.3919671040658508,1.5548396902599593,1.2930476827630757,1.277897713674869,1.555178692178193,1.5357215187431494,1.3440547610148166,1.578331375083335,1.7508409364225936,1.5217064330879495,1.453826306964757,1.6599263098331596,1.734256733551706,1.41009662271674,1.3664047734615727,1.157616794546797,1.1450169514091664,1.1537110590921673,0.9899907910955282,0.8716341987521812,0.8449247380070017,0.7731704466656908,0.6359582083748062,0.6650827205701828,0.5398102888863949,0.5318556756357586,0.7028987514472684,0.638836013559109,0.6554398596570344,0.7188691887075627,0.9707153382933662,0.9102298129560267,0.8912114656097891,1.3356789198181849,1.4961299415732945,0.9825935095717485,0.871943566426326,0.6557220943694995,0.6874060648867699,0.9056796753042997,0.8152393447271422,1.0264144832465731,0.972953280196322,0.6598547798633762,0.6348249831264154,0.5049847910806241,0.5124472709324002,1.2172722426753626,0.5293938074241441,0.6491809650783572,1.6935440903568786,0.6434033096282191,0.7918303981576281,1.0554098686303404,1.0101007893819611,1.4229421463552383,1.2478957449577548,1.2260042454833393,1.4427162652282006,1.4437040386593394,2.074372154006937],[1.4927224189921273,0.7575546606342924,0.5191570318853868,0.2540926083416232,0.3750257225412771,0.2723143102563898,0.2176382462063573,0.28861796903748876,0.37261301971966704,0.30348980689216776,0.32683741636953983,0.4082775430010901,0.3208949772695573,0.32220085349440825,0.3968654404730999,0.3507087570009707,0.39460502623029103,0.36936414119228667,0.41862025084452364,0.4193363071958642,0.39485887165073347,0.4443900034052744,0.5261900159083404,0.6578432529261563,0.5743301569650345,0.44331129891730037,0.39741865158968404,0.36293067816120805,0.3434387433464266,0.33068473624888206,0.4062758378497526,0.3637185704041385,0.4386694844523008,0.4157045850569202,0.35539655357903555,0.35098980264403096,0.34445704017672535,0.3662775741113929,0.3422352516522183,0.3580127558286187,0.469161845501592,0.4711208243893889,0.438379588147425,0.6541955399684285,1.092925260713335,1.6623327944965365,1.7775583705758224,0.928695104120884,2.3538620770188468,2.2762389082439274,1.0253255748513024,1.5530208251813866,0.9176835253166832,0.7906782165735214,0.927089278316967,0.48940807789391444,0.5223736033459347,0.5313534145493349,0.6422036301375705,0.8775958359355824,0.5957414498148781,0.5564774868815061,0.4894374941632167,0.6175385576383945,0.47860218217381145,0.42893173599711615,0.6203796324722626,0.476024723248205,0.6356705545100618,0.5712010733149735,0.7225264846583715,0.954656985812694,0.7081467162987457,0.7914500581688909,0.527472322400454,0.9078853757942383,0.4387263975068966,0.4022229397049603,0.3859022772098508,0.3943949486574671,0.3615007119050879,0.42951557666921175,0.6994656715304403,0.4506786847392781,0.37294890593438046,0.3669583343662049,0.354235658932779,0.43583096799512755,0.35426223601918855,0.47927189899032313,0.4367585200793587,0.6437541162281152,0.5158184212889897,0.40956059845399,0.4032757973141842,0.46963444093769907,0.5394647724663575,0.4089081882074577,0.4081555741624931,0.5110360507448927,0.40631176002273495,0.5471581650662727,0.380049286575151,0.44486718935656633,0.4375020705256166,0.46204889208323974,0.5678410699217463,0.46627021569876,0.46059450217129594,0.5794584976358846,0.42466248977143234,0.327274437461147,0.2797833072970784,0.34279631266768096,0.33796671381776555,0.32914513984037136,0.45075209749083905,1.0145395107683717,0.455807546538956,0.45788779145375313,0.3639739903550404,0.34663810575677784,0.40685932066765534,0.2823668581651109,0.31261218507063704,0.3414406584644515,0.3086254818774485,0.34481360929106863,0.3382821562850104,0.42571983270389174,0.5409467791297039,0.5181904331777611,0.4243572417105889,0.5647863559379644,0.401196401673719,0.4929334328090269,0.6173135075104319,0.395879990510326,1.0210646462002233,0.4090864662542352,1.1614118433088225,0.8983720973062519,0.5389454850831138,0.4235332476267623,0.39121803068069166,0.3389764810975,0.3198020242207268,0.34750382135260727,0.3050421498520358,0.3722189547812804,0.4687540299466955,0.4240647203656924,0.6351352246098688,0.9588917545729503,0.8503924460753729,0.45421501908932116,0.36343572233511534,0.3957704357271852,0.3433336996476023,0.37236979487590616,0.3514689533059766,0.33873759481872,0.31888904283711084,0.32031116758739947,0.3948648586795649,0.5402715439846951,0.4420120027370352,0.6086992528214037,0.6627121581839195,0.6647466802776433,0.4813976444437361,0.42503110529348076,0.38655825643476605,0.3525885369937995,0.3204349162388768,0.3827646250404168,0.43277252486084417,0.6031271047119451,0.4100075195669625,0.45151628681157674,0.3329512721818315,0.39552141963981985,0.44815758450872395,0.4936928885777777,0.5494932638456477,0.566989283737038,0.5150110923524751,0.9867920555401513,1.4303678312171215,1.063754895975802,1.339754953095268,1.2611102568564798,0.9832387839169343,0.8869081494576306,0.6788099506838374,0.7499965983774165,0.8592674702015077,0.6809414644560026,0.6116989473845902,1.06660916580905,0.8078838301427754,1.074443001946217,0.9409752030997124,0.7381669413514307,0.956536955523551,1.15949121305403,0.9623582380261327,0.8867833954184257,1.2574437703890307,1.2009190743042715,0.9858146454370407,1.163695806802481,1.4440359413095407,1.176672623914562,1.1218047817384247,0.9158025290333888,1.1830489376629274,0.7536569126440688,0.7972575029737918,0.8999463980042399,0.815375848141431,1.798155167259727,1.0849659671787533,1.5320410622481195,1.0536207467499576,1.0017242486840479,1.1012074134451977,0.9568312026958374,0.7721051447878584,0.7104929886505181,0.8511482170305609,0.7331419332709471,0.8041574159828274,0.6579786326670194,0.9141271476372154,0.7893955896911091,0.7308795295319398,0.8714286776743011,0.5728501808664692,0.8020712765898053,0.8890988928725196,1.0736070954410128,1.3128938715823948,1.4616011612111315,1.5805419515899426,1.3417096040774228,1.3524293790918342,1.5953407111439912,1.571184166112959,1.4147370326736577,1.6551018852563388,1.8138170627205386,1.5996363544119336,1.5512756320828667,1.7460380648400333,1.8085855345131456,1.5149329908201299,1.485719051525034,1.2810113654378505,1.2703614857201724,1.2608560394941715,1.1111231523382685,1.0085784665307214,0.9540447055163587,0.8850274092526093,0.7592567046524779,0.7630068891671826,0.6116837854188376,0.5978197359554561,0.7177990474994246,0.6510506604404614,0.6423361341837978,0.674154873626457,0.9578471410816465,0.8710788659474654,0.905987560537491,1.258064161187291,1.4651014038896044,1.0068675407813616,0.9127751173887554,0.7149462659249058,0.7367954752525585,0.9896537250981836,0.8995832298974319,1.0578285000922183,1.0360550489635603,0.7166567591968995,0.6241104296593201,0.47383138016142873,0.47629739416740824,1.2217095374768516,0.5992175208080699,0.7566153689840925,1.8811328754000063,0.7529191870533787,0.8785763474301428,1.1576244762160985,0.9956892316449076,1.5053454574553695,1.2572997241282318,1.1485188096580716,1.5640232001860732,1.2029694027637787,1.708628407817002],[1.8404080804610286,0.9046762412599845,0.6227463968821683,0.2902172913112278,0.36169236441885505,0.333728311830958,0.22268684498634803,0.258708280155868,0.3334558744499826,0.3199962166735051,0.35615165538802335,0.43724037645126923,0.3485846233050693,0.3330029054089908,0.43605598070242996,0.3965531438203965,0.43127514534068073,0.4225561548525992,0.4574070208318246,0.4658305922577703,0.4553701893681299,0.46619689419348603,0.5454921628947859,0.6705904834628444,0.5486354112486584,0.46275206326597396,0.40106512170934183,0.3816484720835846,0.3775009298265311,0.3822022389266638,0.46150770582002804,0.41188226189524046,0.4843976445351347,0.4532100982034722,0.4088751836137403,0.3954888246722469,0.37923402182098304,0.3728497573168414,0.36478516326096067,0.35971639704622543,0.4786278479551546,0.48821709112570266,0.4800466496223643,0.6106959501576468,1.0514994618440796,1.5751714648991777,1.587937594800091,0.8434590303603552,2.312189533451341,2.117303651572588,0.9719800635854159,1.4757651747640805,0.9333532392851499,0.7562931189949014,0.9443309571434193,0.5310882417777731,0.5082869324216458,0.5582493563492703,0.6859241583587231,0.8576293510989355,0.5936935081185052,0.5955345465058662,0.5559681450908847,0.7123368737080034,0.5121998219010929,0.45602478148140185,0.6916582373911103,0.5591384006898348,0.6904097634203509,0.6154055174175724,0.8170013910151054,1.0887628290752709,0.7718945426307646,0.8318856949139385,0.5714595068186957,0.9241332805007577,0.4953915704667992,0.4541166964249422,0.4320481977800171,0.44552647928191935,0.41933526217894396,0.4512750447869477,0.7137368761827456,0.4766381244243759,0.3749545913334646,0.38710368124233,0.391380685600458,0.4665341685208894,0.39835689648194456,0.5086477151299633,0.4833021220886823,0.6629386277663232,0.5383202821669784,0.4494395679748235,0.44997967527547006,0.4966856816139921,0.5790040800613111,0.4453237423728711,0.4407249052849647,0.5501285589005366,0.43133397455541,0.5467850480169302,0.3817105837979862,0.43422712233283156,0.41804179005236153,0.4080605077352464,0.5807839957926151,0.40344266571173903,0.4149578996544066,0.5796460528003184,0.374870879777845,0.28312557154298723,0.24770056956526354,0.31616015163458616,0.34439705941696347,0.3094008229587838,0.4515270617819994,0.8580720671798032,0.4637475506546398,0.5349836245689328,0.41324288390979375,0.368471419810795,0.38167071070298414,0.27681088467960774,0.28146046211982867,0.29346229950272096,0.3570371698788713,0.29643850585365933,0.28931702304423673,0.3852977895014049,0.5537645001748942,0.48362942424293665,0.37440708098144315,0.5925725829009983,0.36184670978404265,0.41420987743429627,0.5762085319246828,0.45352212858703317,1.0474748178249287,0.3751974398425561,1.3344054837591672,0.8595955915791739,0.5044647727363866,0.4135261153348227,0.36812532135778303,0.3456046606669259,0.3088073174711993,0.3530441587008869,0.30897213676371443,0.359391140663117,0.43689687594914633,0.4601599415715776,0.6951899430806843,1.0915225947811587,0.9181579537421624,0.4951173763227223,0.38343755521708595,0.3988967706106544,0.35474075415006007,0.36102114092663085,0.33819157030309166,0.329624885692046,0.3233840877118688,0.3215607365770529,0.3894831597290405,0.5480462880039294,0.43927360233966806,0.5747866026500363,0.6139224816076865,0.6551692431703677,0.4759029433291933,0.43068312865339625,0.36861209345520896,0.3539361564269645,0.32583608372907313,0.37228457001382353,0.41078136585800634,0.6299603500830392,0.3957075892896002,0.4568667336784118,0.3425567350020684,0.3621563084310304,0.4087369303674284,0.44037941824727783,0.49982252685435685,0.5308720813897907,0.489380003352349,1.0135793996720008,1.376600815975028,1.0022532116879856,1.2467077424432054,1.2162263875999797,0.8457107051919257,0.7614211319273042,0.585806770257054,0.6457150020463941,0.8218779212670383,0.6556954674466151,0.5785250709434918,1.0238925191051882,0.867406273444247,1.1583542944893181,0.9550724181800014,0.773731776676286,1.0613503961919875,1.219857250470875,0.9650685633700183,0.9594934965247163,1.380422012594268,1.2223751067600888,1.0326485627261166,1.2584022690675107,1.508307706393703,1.1913373122581545,1.1781079146673872,0.9734622785295992,1.2940685374091054,0.8067612098652642,0.8803884445178888,1.0202870986226502,0.9111887984944713,1.9961754323093608,1.2470545601848548,1.7514250316927484,1.2636742180002014,1.240570551279064,1.3011664441455522,1.1609030325076062,0.9496730653478939,0.8466762985836481,0.968076678030706,0.7911488903426177,0.8394751558838816,0.6940981479184997,0.960792522527634,0.6933216128805939,0.682220181920546,0.8077298058809529,0.564543711117941,0.8531740063773088,0.9895925869498721,1.2118278241782865,1.4613810294716996,1.6645328024449866,1.7526296962984407,1.4716505906926325,1.5419081375253083,1.8079951296077,1.7267463654627562,1.5735011428760883,1.869056587208644,2.023014741684714,1.7504501051008468,1.7470924476455678,1.9729385983400862,1.975291990081684,1.6969036860876714,1.6964217908982282,1.463769831472098,1.4776678207659948,1.4512110763105055,1.3250074588742564,1.1984875112650513,1.0865490388987098,1.0519242593665505,0.906773276311546,0.8672591059829209,0.6963524266666077,0.695935562503821,0.7244521076040308,0.6713212858861932,0.6084415340020651,0.6534695894500209,0.9014277634544797,0.817632930439309,0.8900766730975761,1.186599316745988,1.4338209885430269,1.0147851021477434,0.9484368645076114,0.7523151813069566,0.7784485015568036,1.0599900844202845,0.9197354197854267,1.0320918726007189,1.0201627994465128,0.7139689060655506,0.6041933060213012,0.43632371838900824,0.4881647748670802,1.2259084800173423,0.5145549490369871,0.7514721175369622,1.8983971295456519,0.5866542899439137,0.8517516691504681,1.1413635919425424,0.9160701072988046,1.9655966870383434,1.7337816354438769,1.401921147388045,1.4733890824319198,1.4142842245175453,2.2334362148009195],[1.9860802733048328,0.9928053239603856,0.6988579383654726,0.35378446415488435,0.417995049024571,0.3611642428519919,0.24656967080876613,0.3233761956802735,0.360396889263166,0.34709542650981273,0.4157521858705021,0.5017042349121921,0.4004001792535779,0.3634802726721054,0.5018595292095779,0.46903272215609404,0.4557377349830687,0.4482999854020648,0.4880253496422442,0.4659128002955886,0.44765353319169865,0.47058451851593247,0.517033175856777,0.6192618969991409,0.541987970549943,0.4538706190433696,0.3950507571460902,0.3860481445427752,0.4034333366905542,0.4249933487860379,0.5156772603166155,0.4794225380287578,0.5423574910131091,0.5104853565407638,0.45821036273037974,0.4422482383836649,0.43046794324995635,0.40558487550054273,0.36692265440687266,0.3696995306593344,0.489023286935062,0.4988364958669498,0.49554414504541955,0.5951225439820386,1.058253473894528,1.656322792908191,1.6305850954780048,0.8492248815569262,2.3627654979712887,2.201205402465766,0.9712343208903262,1.5438950579865613,0.98978920919637,0.7335211553848496,0.9729417120461807,0.5870232463717953,0.5178689654537584,0.5695721241101854,0.7140337363385463,0.8218262942213101,0.6090875296296139,0.6135122599649298,0.5778285153364413,0.6960666162134299,0.5006107420879603,0.46409908764657953,0.6950118764890872,0.5777029149780459,0.6935817367621532,0.6376845177324705,0.8417905243680722,1.1170790560570572,0.8046893897407257,0.809327089872759,0.5984464558625976,0.8747265599190073,0.5105639368804249,0.5033462617443618,0.4806605446343937,0.4738373735579125,0.4823024888668068,0.48885538926824146,0.7344451282454714,0.5315635172667522,0.41619352253335334,0.4239034910861077,0.4138501167598536,0.5008404339733482,0.43990943268557653,0.5418304468543297,0.5455230754488579,0.68777725843931,0.5898112680642479,0.5071571668663092,0.5207218051211107,0.5574982007534662,0.6596219863359299,0.5204864033978094,0.5249885828280002,0.6142194042321213,0.5044726006338075,0.6337493764369118,0.45888697553444174,0.49674900663042665,0.4510981930599692,0.44904768706874004,0.6741167698300413,0.45810526769544435,0.47512572412048315,0.5982226627467079,0.41706467234197664,0.30551414652139747,0.27474171118327173,0.3180546460708447,0.35270216700466567,0.31042787142760103,0.47249992434719446,0.9197388067643631,0.4471320906192095,0.5418443747382583,0.425839822054343,0.3868760135015691,0.36081180005978586,0.28807735900698284,0.2819619451076553,0.28805586503810315,0.37945800494944815,0.33650972697430964,0.322311303969398,0.42105818929852157,0.5794324594145118,0.5474241159532216,0.40977027992395015,0.6181987450952435,0.3754442732356899,0.4119520974531279,0.6475375800975691,0.4437440347955776,1.0208647293545121,0.35503657586637993,1.2562723008639922,0.7970059371628856,0.48416396209891116,0.39829370748820025,0.3784886612558593,0.3592396538403583,0.32315375055169293,0.3794041566555649,0.3414219896256821,0.4152113376107349,0.48218358324704,0.4880486264684318,0.717184910305525,0.9835817836674454,0.8290536286524862,0.5480476005824982,0.4639253576306644,0.46979344941337065,0.4233965480660054,0.42202310077498806,0.3595905598485819,0.3642534279715603,0.3125194845525673,0.3250842091436104,0.37586612745246806,0.5440583761432128,0.43538517373655694,0.5601006748277568,0.6264029821670009,0.6579485388044358,0.47721789800528885,0.4454600441921278,0.3722903769170288,0.3620137895878333,0.36123385203639863,0.40316593865342454,0.46093549179719334,0.6886548907792754,0.4383630211968631,0.48929616773092055,0.34788235126137157,0.38114729191640345,0.4148972556765707,0.43704143142082147,0.5145813472402971,0.5300580859681626,0.4797583255937836,0.9529111564876159,1.3559174719511982,1.0201358936287874,1.2040640646938072,1.1281027795702363,0.8196757271840747,0.7559553548606327,0.5899876691774326,0.6641547274648764,0.8430533711776605,0.7203431504050047,0.6419455831876922,1.0610859793865128,0.9747402378282726,1.2377317073016243,1.0150569746281521,0.8767841873714756,1.1809933658722587,1.309056472199084,1.04184164931121,1.0744351735063922,1.4945899239114258,1.3095590071619578,1.1320692349274775,1.3653100297935663,1.5907430621826484,1.257944667988074,1.2588673648769737,1.0648305988236089,1.4069995835726172,0.8920408962311989,0.9964982566948868,1.1569278328483645,1.0457464065811473,2.0958426576965135,1.3876230909842227,1.9066352778919713,1.42500489744967,1.39391683079404,1.4327123350896798,1.3059635066933402,1.1223420694963253,0.9981381412597345,1.096154159768057,0.9122610433098454,0.9583307102963442,0.811302616339128,1.0469512017168632,0.7717935852865947,0.7551783363213365,0.8432731089322328,0.6683230318236145,0.9538136098761462,1.085876453908618,1.3152514252976844,1.5273455271840026,1.749805402387015,1.7978793775448496,1.547245185944388,1.6385382859395965,1.8567281275106389,1.7844030148913834,1.6697131629283324,1.9492732435129123,2.086808873074974,1.8441272292010213,1.8483234309989485,2.0460965712757235,2.0430070043734725,1.7965707091408674,1.801357148781884,1.5879634139355285,1.6051849776366218,1.5764548035197836,1.4678829373279232,1.349195543017097,1.2256261195583602,1.2021356681578441,1.0700682464531885,1.0157631951345958,0.8400450731343793,0.8575489658049407,0.8406455068209541,0.7651467231717882,0.7001407318540679,0.7199710461405214,0.9538371800634228,0.8261748452022597,0.9028726029395232,1.1151672906585866,1.379432879270822,1.0397753942091421,0.9705827100376059,0.8175639214165129,0.8503387334624265,1.0978523812483674,0.9489786508757881,1.0158724248960376,1.0212646122422135,0.7968821118075611,0.6225209179548891,0.47673627236855914,0.49384997534221936,1.2538083170504841,0.6006869466937489,0.8494910531305595,1.9987158625785282,0.6737697798671667,0.9280670809072015,1.2163155418328615,0.8837838745191896,2.0462836510874745,1.6427195308990619,1.2430328495215037,1.591381543493281,1.108846063552021,1.60144459342996],[2.146681057289469,1.0346741101789394,0.73709244229065,0.5371159720669472,0.6134567556505627,0.5104611667614549,0.41247581001888817,0.42479900497152345,0.41864629240350254,0.44305117628585905,0.48538492584629,0.5775948064274712,0.48951859523676133,0.46658457004021137,0.6287504054684341,0.5795113945685896,0.566248831812391,0.5777905131994872,0.5975984231412788,0.5990470801220633,0.6008693816248928,0.5965195585861931,0.6406247545882132,0.7641452620651809,0.6423019904709861,0.5900883154693607,0.5185898081874135,0.528007074987032,0.5175064322193049,0.5311214832513335,0.6346065607049,0.5871178138142876,0.6493194023943579,0.6275525020202413,0.5801346470968156,0.5593157128875159,0.538787466066496,0.520186696463158,0.49568678321063264,0.4863025432303804,0.5761162932472873,0.6217710353023815,0.6294715838765303,0.6737923352118284,1.124552485524489,1.6677660938490646,1.6028240650641277,0.8663718393093451,2.356904575688003,2.1346901643328366,1.0067848124340977,1.5221051439894018,1.0832313556863207,0.7927912420448955,1.0450977152803718,0.6645990675859046,0.5806900222374594,0.6521632596485502,0.7963008747483987,0.8537151549934073,0.6899287392812292,0.7271994985835921,0.6979142082382332,0.858589407634906,0.6242376209211353,0.5862066832062461,0.8471787513091295,0.7143538700652395,0.8405449698074676,0.7687795974324935,0.9830655275545317,1.2684963077726563,0.9229986075369098,0.9224457194083556,0.6950111162198994,0.9738902902612043,0.6317451368794866,0.624241008251246,0.5964778007290306,0.5743674946874711,0.5881379332918031,0.579136695577395,0.8046358920267422,0.6424476471142189,0.51623886321779,0.5195458156586676,0.5194965657366963,0.6027150216609453,0.5563191989913103,0.6414108699809866,0.6651901310263613,0.7959314573720672,0.6878590067581271,0.6281794607035645,0.6385806092596548,0.6812126599905969,0.7745626266737959,0.6235216007775558,0.6197336771877192,0.7073769760199636,0.5889231532487564,0.698058295748968,0.5349734268627353,0.5694462183684776,0.5292596320799495,0.5291373655696558,0.756407549084446,0.5472770471430256,0.5684139808135027,0.6355770335622057,0.5073458418223163,0.41767260321413013,0.4038996899458224,0.46283311117572323,0.4697333600305456,0.4560459114335044,0.5882494029987692,0.8572434150610609,0.6023049270929998,0.7092384564538183,0.5743696833801243,0.5342353032664741,0.530393131601905,0.44912106885468156,0.43420282991164094,0.44927795969502726,0.5372476009987797,0.4914630218806738,0.4663338471554255,0.5317663575985276,0.6614660123780491,0.6335631492588276,0.5216008802212294,0.7257831748976451,0.5049179109198468,0.5409075156340015,0.7876525773381519,0.5577083128507949,1.0106531966546766,0.5051046272962286,1.420347011344593,0.929157810975256,0.5610776624494507,0.5291483440690244,0.5152708538277077,0.48137935743221016,0.44755098031596646,0.48091177120714185,0.4541736838002339,0.4810053104664991,0.5419183920214157,0.536677285839132,0.8059020666454637,1.1291296524123176,0.8653980420566699,0.620181875599027,0.5421350626434956,0.5373921908547792,0.5084599064212967,0.5031327340187121,0.47738321466486483,0.4555401449368826,0.43978052243009474,0.44840808588378284,0.49145667098227924,0.628885890947861,0.5547017884251187,0.6504852788663636,0.6991345779452345,0.7397616619167559,0.6027243329378325,0.5567610407725412,0.496319690572982,0.48748884891114647,0.46394695543743136,0.4990778594013173,0.5407380319103166,0.7545481319008687,0.5222137024858765,0.5727099022113021,0.45988088725476683,0.48447303351157284,0.5072748724150037,0.5272291672850955,0.6166956641740591,0.6290217046384239,0.5851420057759449,1.0523119720251701,1.389120159963349,1.0452758165552236,1.2567302705574666,1.1171962361144239,0.8237638525643065,0.7739396888629498,0.6508405869408472,0.709283306835531,0.8998219676417416,0.7688151633095652,0.7058966053979208,1.0493555362678655,1.0257996883685048,1.2700910049523007,1.0207172185307436,0.9122853002971002,1.2388056735865072,1.3192595323767031,1.0463879572850983,1.1229660141897002,1.5709997379314071,1.3149120120641957,1.1726198244907209,1.4528216047687392,1.6516513020582615,1.2833308622646231,1.3443793538970075,1.143046062925142,1.5152351783829747,0.9705138230298714,1.0770555412196545,1.2697007107011038,1.1514618301983017,2.1865190638433396,1.509390934496829,2.0990302442213644,1.5577566350501826,1.5403970530813678,1.5527963338491413,1.4466040478552153,1.248483529296715,1.090359873172263,1.1906964587495672,0.9956092249333625,1.016850204803045,0.8923495689443828,1.1410056445167094,0.816828145860217,0.8113629488484685,0.8867539891995696,0.7368224723725126,1.0195024915139705,1.1574130065390766,1.3919258109776305,1.6105429276052845,1.880609017289533,1.9024765965959245,1.6245171107303589,1.754253853851374,1.9887931066710147,1.8650275196792503,1.7581501264782322,2.0889904900382157,2.2184175239183874,1.9392567513012853,1.9978120957060828,2.228547617791553,2.184284001659721,1.946752734151131,1.9843370491217203,1.7353577558357096,1.7609022250176671,1.7003401080847131,1.6063660807189106,1.49893639397191,1.3215752914484373,1.3093114136487272,1.1877783486222446,1.115479141251277,0.9173262479059577,0.9636731547072811,0.9348260156832667,0.831987650251137,0.7580314705944775,0.7783280141608797,1.013475992274211,0.865041767053302,0.9304306357536306,1.1232789276820572,1.3743101791595485,1.1293471691740902,1.0287749692074772,0.8699983530737747,0.8944203388227594,1.1489384043700173,1.0001845061463992,1.0593100044142516,1.048900082963137,0.8515282907001254,0.6923067886100839,0.5854626630460817,0.6124486003711549,1.210611540480561,0.6693823678750742,0.9363550910154393,2.056062030723731,0.7186497326119513,1.003544302667094,1.2788942304674054,0.7695912375492809,2.3399193029972305,2.1484373443839897,1.4165732038752648,1.6707400700102752,1.1169217170785266,1.900384847642207],[2.3873676232378553,1.3497351383996163,1.3615823330673005,0.987872678014653,0.9290675306266837,1.049698330679894,0.8181093929556886,0.6432745948750894,0.6158683280630511,0.6005648293837399,0.5624647932798087,0.6661104119722354,0.5916370931596114,0.567681160304553,0.698589521485255,0.6413214968888148,0.6317218338751703,0.637481063009109,0.6310502431347624,0.6682950002924641,0.6462723160301687,0.652487772546588,0.6715451015615728,0.8297623810569827,0.7164447772176465,0.6535110054059179,0.6676240297370679,0.638718899151721,0.6005620772120354,0.6073585361592231,0.7012758871328799,0.694268162296643,0.811626109905202,0.7803737019758888,0.7002746028262062,0.6553314453432579,0.6325868664004006,0.6237136985207349,0.6398165462409079,0.6286529152821049,0.8367775268101182,0.6815228770848694,0.6901673120451705,0.7971088992970748,1.1054443304484303,1.7775643133606978,1.628040962515161,1.0848670879453486,2.567287374306289,2.3283238979316967,1.1780069340266175,1.7121926867713577,1.1722662705085771,0.8726520036658904,1.0716886781274568,0.7546046542179546,0.7240635630830846,0.7024684682519331,0.8501999256109675,0.8695157336743369,0.7409750439095721,0.8318862683609738,0.7886055301527023,0.8967744425269265,0.6555210978088346,0.6688595886471884,0.8796066124132954,0.7411494400831063,0.8267086204129429,0.8139339204112135,1.0093944337753262,1.3174364402454606,0.9952577928000617,0.9212426071747809,0.7667392663654773,1.0588728066868827,0.6884102303372074,0.7601934571285337,0.7090150223954061,0.6799093866192748,0.6959426413847817,0.6825799559931635,0.8543548278867951,0.7612200703712513,0.6184512812547801,0.614720318783845,0.6338609112089996,0.7266913739692669,0.6643467900617874,0.7690527134721462,0.7600539361039326,0.8966400044266672,0.8147863081245823,0.7892583036644746,0.7569592770170018,0.8244156646301745,0.9117653714781111,0.7709964845239047,0.7723964786480686,0.9547122309682915,0.7675912102548319,0.8392250525261097,0.6810568684279182,0.7138278609468108,0.6960729941882847,0.6878456995432275,0.9835804260242231,0.836975918808802,0.8665425618037049,0.8239323413618286,0.8165110545972973,0.7497914585052715,0.7050299913633702,0.7287146969307763,0.6526544800069679,0.7344267079663561,0.7033606611937758,1.2596893365926454,0.6697405500517234,0.7177660031662223,0.6600790340636695,0.6392058517150183,0.8131543731154883,0.8136167714594409,0.8359000577059144,0.8649142660185376,0.9563802037481822,0.8231381765614072,0.8432430257595882,0.7832927358626853,0.9842611015877065,0.9498949539395095,0.8622047896481708,0.9553906139357755,0.8152462675034526,0.792706063766446,1.0040251746988196,1.0126243818034186,1.5976864898624263,0.8216530943143265,1.1269282267795278,0.9011142549100422,0.8782934912526675,0.7522521001234371,0.6886521789503425,0.6470854067396081,0.6788693325532118,0.6142251825226964,0.5889557306471029,0.5882532536790166,0.6294232201049026,0.6199526915410698,0.8783486291073905,1.0910792400702665,0.9353654559351674,0.7648857694588146,0.6528416212219003,0.651723789398967,0.6042022998747728,0.6269608523450307,0.6598706783336269,0.6147042318634603,0.7570368461062826,0.6825452948490773,0.8325733526166529,1.0229876972442986,0.8907755701498978,0.9958264575218614,1.1012910760379673,1.1310550111306554,0.9640206790293172,1.030970950677275,0.7720815293406336,0.6773905357747849,0.5936684997953312,0.6341555833278417,0.6282415544701747,0.8693577436873202,0.6335477155493623,0.7248395174990339,0.6685500954968928,0.6679681676475538,0.7159213795267605,0.7403836203090597,0.7389716457203209,0.7085034767788597,0.7048632444743076,0.8985226895691278,1.207649167446001,1.0939774289518458,1.1671486043442447,1.2124877656797302,0.9589276472245987,0.9175925786554797,0.9350135964479008,1.0434133921824023,1.161039118468047,1.1947959669492365,1.1635757353595153,1.3381596022798337,1.436238077182471,1.5432007850335663,1.325574697155525,1.383125039635461,1.6348212425060726,1.6251570221669,1.4875370730831852,1.5819625257760888,1.8967379668609352,1.6544521588924976,1.6152249090370818,1.8220631081581324,1.909463591590335,1.6449540105995806,1.7482533177845077,1.6662183849220593,1.9416714633159753,1.516740094685901,1.599550659647161,1.7589928321335113,1.660892624534703,2.6331285597890046,2.034852696602303,2.521384577467932,2.037845394582845,2.0250024259396473,1.9781063176258014,1.9218077460732559,1.8035991698120604,1.6012576107756924,1.6448598787644761,1.516303992138277,1.5381458130338752,1.3786932242669931,1.488294748809017,1.3566013660234526,1.360000482262516,1.3041255838765822,1.2724128595266648,1.44967205274839,1.5532130974086016,1.742325792420382,1.865677395503161,2.168725390938549,2.1013009191821634,1.8810784781660903,2.0574202993220094,2.2137226668292156,2.0333555932547505,2.026596468885999,2.334404914895176,2.409444593698386,2.169832309124514,2.273183421890278,2.4516430095985844,2.3701926216654283,2.224175873074762,2.278151436213906,2.0900253962521247,2.133913754519373,2.06125735401093,2.0274912512737435,1.9415766141590967,1.7562792564505834,1.7571820358692034,1.7081662104622368,1.6407247006435046,1.4613244994991788,1.5408722277114826,1.5116381210283112,1.4090584995728728,1.3459439976492495,1.3881983427082802,1.54080863056388,1.420851108886164,1.4485007714680043,1.5042893159615147,1.6454626357724238,1.6298528963941825,1.5406525237180178,1.4406600214489713,1.4726582443471001,1.6363795738701696,1.4941558373251493,1.4842769319659175,1.4745228269325037,1.388894868591873,1.1411049985406716,1.087358745295797,0.9521579401920999,1.4539671788932067,0.9046698234573298,1.1526725215545164,1.88776715683611,0.8804515611043051,1.1781319615971722,1.295062908116703,0.8423201897182057,1.7873834393993258,2.416288323184272,1.3982354665589154,1.7803519637146574,1.5161769538751524,1.6326870028280944],[2.370733181184764,1.2056855556595092,0.9160510766662053,0.5137048530732854,0.5302169736004625,0.5302932043093882,0.39238294434658766,0.5328913119659825,0.4354510306299223,0.43805042690206414,0.5238305155385754,0.6880076170460768,0.5757945963000073,0.49524133077683447,0.7739170826364231,0.7033118355894887,0.6293644518323228,0.6689404247480817,0.6397546041760056,0.6898999246239393,0.6836345302225684,0.6816879110990407,0.713612799640158,0.8035743198956223,0.6193914044131932,0.5934662452628614,0.5967256086713775,0.5667696826527019,0.6284309194513895,0.6941411640103956,0.7691028091721613,0.7950354641476284,0.871399579321705,0.8345974671587296,0.802936182050866,0.7501201250866492,0.7575184459130941,0.6691344076195213,0.6171851445959259,0.6685976238361072,0.7280083682521786,0.6822848751322549,0.7231664648538537,0.7269745520073294,1.0465259302017582,1.6347678287862297,1.4718629938889713,0.9525396435294433,2.479660145310185,2.2215434861067656,1.177801993301086,1.6707071859755016,1.1313993780528755,0.8646930903200912,1.1696958762727367,0.8840860826975666,0.797645473641566,0.8240722009906368,0.9695756583703551,1.0458863874375546,0.8614971273586188,0.8794456601853127,0.8589125893600498,0.9549327135745438,0.7218935007992375,0.7321091860920304,0.9228910579039892,0.8273378741311731,0.8932946398055857,0.8929703382228831,1.0588363948042,1.4155080979290329,1.0837693814608464,1.0111625548220728,0.8392003650802021,1.088599568788097,0.7917626030516415,0.8398004966523248,0.8190271953211378,0.8294302856020629,0.8535540651320801,0.8119229463651298,0.9536251911060959,0.8731369173429996,0.7117210890269164,0.7587397620086904,0.7311742003606274,0.8269506901231539,0.759252319492104,0.8761943681798717,0.8369879215561736,0.9104996659062202,0.8606650556573163,0.8449062417407853,0.8099940703144507,0.8765670902065134,0.9835201987853467,0.8277322232068469,0.8178388010735939,1.0062787236004855,0.8816797566162936,1.0063545734996424,0.8557410321979316,0.8861839382384825,0.858511913117428,0.7531190800022333,1.1238953268994292,0.8649961532537616,0.7930305686980887,0.8757248801809476,0.6982177085628546,0.6157087744557703,0.5198502195600984,0.4712886162885462,0.47045842755359596,0.43193703961476154,0.5216327145855719,0.8358292321391412,0.551335876343899,0.6922771246284711,0.5487059865263556,0.4732827628984139,0.41652740271916705,0.37570883542208217,0.3906448287444339,0.43188315140212247,0.6294661038854023,0.5373951459451368,0.6052853230232074,0.7003605232158577,0.7985919556682387,0.8813135107409029,0.7060192798421053,0.9029548524977741,0.6047006771378899,0.5568584329891545,0.6923256895654473,0.6406317180776071,1.1894654671060374,0.4630389670545005,1.2615848347669032,0.7609736385028218,0.6097560172827381,0.4716529448192842,0.5000405186295532,0.5533075765461831,0.5164537937593554,0.5876604895998523,0.6022840143781504,0.6102075066275509,0.7213825693136553,0.77710497338211,1.1969578935868335,1.3694706435593658,1.0759318252334034,0.9762107892361028,0.7977247115119631,0.814963706086801,0.7347016303378859,0.6971855169922728,0.6098970272753027,0.6141912721223663,0.5643528541821813,0.6054304981557497,0.6070693230452896,0.7003664903323287,0.6083464053137371,0.6438209001461526,0.7284127708240928,0.7548334206124584,0.6336528408225679,0.6811080615882669,0.5924610666275636,0.6205964753666049,0.6554698111116789,0.7746066866090068,0.7722987368446146,1.0646073546150432,0.7708450659407621,0.8502768628153847,0.690144476272985,0.7065037135924985,0.7144734563522339,0.7062621352419066,0.6711548903174865,0.7328079174847092,0.6927424934243501,1.065873628644006,1.3284446975362953,1.1032426899736807,1.1607890920780857,1.1530226143099644,0.8294630418408343,0.7882858838616013,0.7436706424005564,0.8251818214621881,0.9528769858192411,0.9758427151188503,0.8899925711816733,1.1730089237636094,1.297977446774233,1.4936301493388981,1.1649103164757806,1.1201510968191821,1.5119130943913115,1.4712331283549676,1.1397824986322598,1.3278309670505044,1.821913372510998,1.3808881412927543,1.3054134834058504,1.6516528909813968,1.7327667144808192,1.3624267505692564,1.5033137336069937,1.3468785138129666,1.7557538869559974,1.2195620655934554,1.330788119245817,1.598690024966438,1.537582267094352,2.611963039972069,1.971826278911846,2.538270991310536,2.0293899888388918,2.0791710428483996,2.041174323040691,1.9763723193503258,1.774555127778617,1.5056821715314834,1.606969794802262,1.4177414300210194,1.341907942024026,1.2030359379665843,1.3932165493489173,1.094858802834969,1.110278036454166,1.0310902811077185,1.0126466426395926,1.338704954913123,1.5247259551653365,1.7591222688159187,1.9771574957711469,2.3383249054955293,2.2772108502837565,1.962532433805341,2.1973612194789047,2.4252328723707035,2.1581760515737183,2.0828301813313694,2.497932014791471,2.5756006244817193,2.2015890252379737,2.384058902962245,2.6431520007297102,2.4755432474565247,2.2687966482339106,2.397387798700452,2.1129859619380094,2.2066453210253494,2.119122757466253,2.0817162259271056,1.9533402068020136,1.6606809649241565,1.6980011106984234,1.6057088113338747,1.472430515393407,1.2407004021321109,1.3752875071956838,1.2761082023935852,1.0827992781171945,1.0392931701681525,1.1034575964902429,1.2614888125930974,1.046280295730362,1.0596949730922962,1.181158897138162,1.3789286343811462,1.3366335070505195,1.1892086782152553,1.042433998304346,1.0460746594760797,1.303834509623081,1.0953390105879712,1.111975347274455,1.0572255672190103,0.9895132752062128,0.7294540210429635,0.7306554388696288,0.6119948913663918,1.1932863803304434,0.7709546432798157,1.0754594950659697,1.7803457582913729,0.7162161804146073,1.0452682498836212,1.19279058019735,0.701486377928811,1.9757068851849984,2.473488436490388,1.4585110368611576,1.8054701964778535,1.709274443313053,2.2879842470536653],[2.2744236508423152,1.0789063634617588,0.7760236049748604,0.41351458883152914,0.4685518813886184,0.46577459122100195,0.34316908896605286,0.38781952000590114,0.38229963354701646,0.4363601645943688,0.5105277538132821,0.5868061332021849,0.515805234953678,0.5000004069819151,0.7106140043640842,0.6271542137266332,0.6205284599151497,0.6455364899141852,0.6518648506610802,0.6652014260425442,0.678880752633724,0.6476283183333291,0.7194529143802444,0.8318935655970815,0.617338371600565,0.6024044585662324,0.5579919935337903,0.5439368945986214,0.5835713327012584,0.5914027085443253,0.7131297185906107,0.6653683900412213,0.7277075480665273,0.7180643645955148,0.6662153577666166,0.6420512857835451,0.621268983805929,0.5706622817086051,0.5109000790385818,0.5102181233894871,0.6518717127391233,0.6685649096169303,0.6806759605606325,0.7005580462656866,1.0669819057869359,1.55086601375621,1.4169224268377822,0.8882995246319336,2.3429739820425537,2.0247888345836187,1.06680541195387,1.4809106152016416,1.0705913840739198,0.7889394926764766,1.1030812584652578,0.7593420336290088,0.6877035871348333,0.7391242660037148,0.8989303945217749,0.9520823609816083,0.7815260231493654,0.8228147531027684,0.7993544336136987,0.9685720632708369,0.6961823258098995,0.6653900911532745,0.9451513804711652,0.8211019232255662,0.9143233127940055,0.8641420198640564,1.058028606946912,1.4251305953275366,1.0361899422754355,1.0085838417535178,0.8049813116357561,1.0872032126028297,0.7255645001012053,0.7428980331161371,0.7088308283712557,0.7061059034989562,0.7185095230906576,0.6721869427755904,0.8165972899593676,0.6981522644646676,0.562623945073322,0.6051976485403253,0.6084346463779344,0.6884333403784518,0.6511601373465742,0.7564048316073698,0.7510610447739524,0.8554685041370577,0.7821869945353948,0.7311198776284281,0.7367406138340304,0.7910590324975575,0.9210982000914176,0.6904121932764609,0.6686788829136798,0.7883696622191961,0.6567063453074162,0.7351555909313822,0.5981123233551854,0.6133216147234345,0.6096798079461009,0.5364833090257776,0.8769659858898153,0.6233466430082701,0.5987914363571405,0.7209642334148019,0.5256013559259687,0.4437922246121879,0.3695515624942018,0.3981410806608164,0.4370952049097599,0.4309727108513657,0.5296985210177175,0.7917615312430788,0.653904443943592,0.7433040570375494,0.6300053815503955,0.549443295457617,0.5148814607830491,0.4265743042648161,0.400919140752933,0.3944068353192155,0.5456261983048765,0.397854739768974,0.4418485598910427,0.5015988551493389,0.6547293480084878,0.6501081153162126,0.5015632088097671,0.7327148775124969,0.449115524338457,0.42958852336999825,0.6403519821861631,0.5941752541812086,1.115674715650244,0.43573033785249393,1.40908955731134,0.8500108713517206,0.6063074736439634,0.49156846083567857,0.4737884756833365,0.48369601835858705,0.4415478878539178,0.4973412186869185,0.4435760141819526,0.45374292932656946,0.5250880365339786,0.5879873378146294,1.0120441589420095,1.4141913564604143,0.9653877665567333,0.7371050062953193,0.5821613786998505,0.595423019796167,0.5395561576395667,0.4994612550980509,0.45775964608745295,0.4974604652910576,0.4658627317196039,0.4553292796921003,0.5127883142120231,0.5948641749620015,0.5082868703255563,0.5731390236002115,0.6144257170915448,0.6618476380040343,0.5123889786661578,0.514497815502317,0.46421375135858134,0.46005768421254073,0.474627149349855,0.5534021684218563,0.5824960517343222,0.856023241770526,0.564800793896423,0.6553610125836441,0.4953451911787854,0.5025085338293406,0.5200820229319224,0.5150036844884405,0.5557173721999186,0.5903475689398112,0.5508598675177488,1.0595625502129657,1.3586437121037347,1.0142255042203845,1.1702590726972286,1.1559997997107512,0.7372080183321548,0.6778235396123261,0.6030688888321487,0.6727849896608069,0.8347522239767559,0.7751648190297457,0.7012027412130879,1.0376967679307916,1.1070933968523027,1.346818351387482,1.0426754124595308,0.9633368809289372,1.3450525664490796,1.3675640595820129,1.0691206594751976,1.1987102495718573,1.6868064801814324,1.3286335148614756,1.2229157488376632,1.5461486192835947,1.6885617684311078,1.3115081688237045,1.4207590723677086,1.234311582544689,1.6482986764183585,1.0612398215162062,1.175555219123649,1.421352359294811,1.3253202977197895,2.4576199863486217,1.748244759456895,2.2955965401187735,1.7792204751440064,1.8128498526780914,1.793890428611849,1.7138524799544939,1.4978419033508898,1.2630396066938852,1.3534436114454333,1.1472403106862832,1.1069867726332216,0.9692513829366575,1.2019946084581108,0.8404026921015222,0.8789518670837299,0.8580033405974236,0.7895655123362217,1.1183976367547634,1.2997229820512488,1.5462859671680602,1.788850428829949,2.1278420251626216,2.1042881282976142,1.7785819166528156,1.9876104148525253,2.237845044797513,2.0184332416353237,1.9257793097093374,2.3266818758091072,2.431347150182069,2.0692188946915455,2.2088774811719327,2.477455613813672,2.3507180806509673,2.1245391039311925,2.219521719954477,1.93839161020694,2.00173322243838,1.9178361281439418,1.8535365482576551,1.7294159742265576,1.4739888947469089,1.477689629849323,1.3713328221409997,1.2614632595524198,1.0326290527475959,1.1242865624643572,1.0500904765837478,0.9038569746774349,0.8454091784637908,0.878650624700098,1.0822853539957866,0.9145339365790347,0.9756178856877721,1.1156291875593023,1.3532150146435715,1.180681920364948,1.082178008988511,0.930997438295687,0.9491989358463427,1.2062444604215492,1.0272831821167365,1.061984768554511,1.039811983841571,0.8726086817971365,0.6444412178468549,0.5637074158012817,0.5299425925165667,1.1922747402716771,0.599974692635624,0.9153173266217749,1.7979394533463915,0.5819946450730066,0.9287028654809252,1.1369263694560134,0.6413696178567215,2.2027403392234515,2.5585589532345434,1.5615646878353124,1.8731415935787215,1.5571302311226431,2.9618131049493437],[2.242287349628423,1.0822853904384513,0.8217000308642345,0.3886561544856665,0.44395385421191147,0.48467939103010416,0.33866810813576964,0.3760520672344702,0.32211620639663174,0.324252062011454,0.4152929768954287,0.5324039809623458,0.4320500665682273,0.3967941110395161,0.6609132894890083,0.5637182561178703,0.5201223567778865,0.550985983362336,0.5569117949702231,0.5719884925528576,0.5792776035332672,0.5741714619444731,0.6158016014465626,0.745115159860942,0.5734981165305011,0.5328963171884379,0.4896941498314866,0.48069045039528385,0.4875190197672718,0.5129643358614441,0.6195856178098899,0.593763274192024,0.6563398094698557,0.6307513081728627,0.5841147810201882,0.5575567735582516,0.5496481431191399,0.4911203694238059,0.4429701576498809,0.45379873502966595,0.5910735984357669,0.575513575361731,0.6087560435903462,0.62431651805486,0.988716182636156,1.5553787980928502,1.381787721034352,0.8181180230340271,2.3577305800791173,2.050746269824945,1.0319357274090881,1.5121642427990447,1.0505893548949028,0.7446331041956529,1.0667815160197252,0.7201152468576377,0.621027454653177,0.6761736304572121,0.84126937540596,0.8800671143354849,0.7170703525414784,0.7356148725605357,0.6990824223522684,0.8829936218802731,0.5998134160328342,0.5751188609887674,0.8421531617808358,0.7044046761969786,0.8060886741878948,0.7811045445095689,1.0213758183490624,1.337889980111544,0.9628105272777816,0.8723433266890697,0.7082346755647683,1.004612687353149,0.6279361627981436,0.6488348239872587,0.6109225862782512,0.6250359753920746,0.6371827598429375,0.6070920605930081,0.7733519774115134,0.6587257935910794,0.5093221534707533,0.5448865317729858,0.536514619887833,0.6193647063459491,0.5651021685550817,0.6632339377788768,0.6669734443964356,0.7792413133361437,0.6999581244742666,0.6520318275762491,0.6503562124401009,0.7184842055832338,0.8500311831269876,0.6233123234404339,0.6178860634101524,0.7435350501338818,0.6096592765376924,0.7242567272922058,0.5635328436418205,0.6071606945085484,0.6018292570339419,0.5367007621697394,0.8921583877263626,0.6495323396885696,0.6251833360241187,0.7456018275592989,0.5498665411660205,0.45052276656396867,0.35254022940885077,0.35245371410079246,0.35321319910890814,0.3572711872288319,0.4751797114653944,0.7582474289665307,0.5323059692069195,0.6872998706499744,0.523780383898588,0.45197715933781374,0.39331691381476236,0.36627300810708413,0.3680754441557877,0.3629906556850519,0.5995885916283682,0.4110160336139065,0.46971952637471226,0.5272465572911873,0.6899200660182864,0.6736504607957392,0.5276948459649825,0.7658592303172945,0.4705108402825329,0.44210841462927103,0.6200870803647661,0.6070551137662443,1.119684173203905,0.4060041526518314,1.3699727783601483,0.7391796577769917,0.545114242937693,0.43575553515324494,0.40883559964751504,0.4059587090349474,0.3800472327674493,0.4369507133600451,0.41191850605479857,0.42199409922983594,0.5140099720961363,0.5709167835606479,0.9916591480427136,1.3586005770019296,0.9243219701184471,0.7085122348653065,0.5397077448026724,0.5731090852341804,0.4953796868552466,0.496139312509686,0.4308944083398702,0.4349251135643744,0.4042041316530495,0.4084718584316826,0.47225419097207616,0.5884197544497007,0.4881789973071122,0.5442853880052935,0.6044494631420445,0.6601903736581427,0.5227289309128261,0.5348496832327395,0.43143890590466555,0.42696979187273826,0.43461101874677444,0.5269121411955017,0.5396770759965998,0.8384258397622036,0.522319496248017,0.6343220773300103,0.46273959041188284,0.4903594152084548,0.5142439980754888,0.5065493401207697,0.5577008825382284,0.5627334798747055,0.5297019542140483,1.0261942311310832,1.3243718439769492,1.0050188642828974,1.1580641952190422,1.1439740229751347,0.7236254849701484,0.6732118098956302,0.6179697316143488,0.6974007064051255,0.8522763645974776,0.8116925140120645,0.7344462139819266,1.0460768486366898,1.1273718118732514,1.3705856916773118,1.0624733491758898,0.9857247700697458,1.35619179462732,1.3775372973294953,1.083045733915991,1.208773219697453,1.6679894304489529,1.32354357562333,1.2154022474012722,1.5070773241296833,1.6442048020855755,1.279159530069197,1.3694003442307394,1.2169151823461468,1.5996348545258978,1.0527945294429135,1.1692786758348686,1.3901166564446616,1.3045278790803545,2.516787557472983,1.7360152143267615,2.236099601788133,1.7748181348589578,1.8119935247518946,1.7967469929362976,1.7290917290903118,1.5130074798471407,1.2875652567791447,1.3570985968459601,1.1746322469864683,1.1547565825572332,0.9992910691941597,1.22414662333279,0.8714054141118868,0.9154065463445255,0.9000346513045239,0.8229410581827878,1.1441219699756062,1.3223018928748789,1.5504031044148823,1.7958062405664903,2.121236778636128,2.1042952009350864,1.780664511211847,1.9698799490479848,2.2144019923751017,2.021242939593298,1.9235953115438111,2.29081404810508,2.394117706501122,2.0420927636799866,2.154821886531419,2.3977691223011854,2.2738404564113344,2.052016167377122,2.1317978964203137,1.8837126935069388,1.957643475640871,1.8966177911446709,1.8355682132129445,1.695365121018279,1.4615721660158458,1.47731212037307,1.3655240564892694,1.252840734758368,1.0508722123178693,1.1383268763817918,1.057886194420218,0.9271433625086604,0.8664985551927595,0.9063504755777659,1.0710126480639395,0.9172909669007828,0.9879115534453765,1.117333466627284,1.3727385466440152,1.1553890978754602,1.0875273278532789,0.9508080042094187,0.9897921845625836,1.2216775923978371,1.0504436888752133,1.0656104778395485,1.0620542909720863,0.8905492132230473,0.6781131199957601,0.6095531078690074,0.5558537085216697,1.2143637304100245,0.6297939522231196,0.9264673332967742,1.72549728808304,0.6239557922429019,0.9234694641511425,1.1161270316249008,0.6699062871228002,2.125532281157742,2.567042592291499,1.6796912755996187,1.8692428276075626,1.4448550383815013,2.853271412880114],[2.1244397790929552,1.0427839695258565,0.8152927432741245,0.4091774589920701,0.4440137870994672,0.5219922739670741,0.32893063247643467,0.3470140412701635,0.2833976587127747,0.3023195810390402,0.4063358706956095,0.5493106028118512,0.41351250682663737,0.3763544914541782,0.6270035245462496,0.5542480918052373,0.5274558677948645,0.5448543138566285,0.5450725310364181,0.5573063992927465,0.5543962698830316,0.5405785612453718,0.5876877017513816,0.7035751928139631,0.560841341653533,0.5146726189682864,0.46647622496524843,0.4672106207410473,0.4882596573999125,0.508844622847723,0.6102140642553736,0.5737791614007455,0.6487310271812727,0.6223725184792647,0.5705190592128279,0.5442022670812945,0.5287054000785472,0.49054553396695394,0.4436290925801742,0.4459433947775734,0.5610389793648562,0.5793085629539204,0.6085187214300765,0.6242937715460454,1.0331376932461127,1.57568189012224,1.4350991321133224,0.8152467450709827,2.3565957428418227,2.048374538223487,1.0326492759360497,1.4637942135689626,1.0371066226678654,0.7698279229427637,1.0567785286500067,0.6857968655987129,0.5943057655558872,0.6593354550895888,0.8098933208503192,0.8727668242704992,0.6812082551369691,0.698271288003787,0.6813548308453576,0.8331052765896618,0.5734876498081412,0.5497484060428259,0.810966081436145,0.6832283679092687,0.7744850347525714,0.7410902166270361,0.9685893350226765,1.261458179594421,0.9175665048792896,0.8492349014573168,0.6787566431101305,0.9512591340011665,0.6091953698286482,0.6211213125697568,0.5900969155602694,0.5956416810859958,0.6154704177630729,0.5859075379946578,0.7909478373454306,0.6317878071326408,0.486152595513438,0.5220371603904781,0.5164003649149438,0.5934905314374394,0.5394803793964458,0.6407903799789169,0.6471060803725709,0.7709285602998439,0.6730272318460997,0.6168954040304401,0.6259326151441952,0.6746688572170253,0.7851586422206002,0.6176345319805059,0.6119905498000013,0.7102423740475746,0.5968570585062881,0.6911632686711938,0.5260735817635986,0.5457145097328027,0.527436447715759,0.4907485830747882,0.7806476399540938,0.5657464784864976,0.5830818407573604,0.7065210713349713,0.5245960286832401,0.39866315374186817,0.33102691563065323,0.33319704215811036,0.35017967662711497,0.3462518373060707,0.46313424752575166,0.7805720532646672,0.5010201364991435,0.6571706558956794,0.4800891644296274,0.4153567533761276,0.3647833611507775,0.3339267788241508,0.33442295074408446,0.33814833332200095,0.5997083809797081,0.39568418269145594,0.4442902365828415,0.48362743905276323,0.69286425464376,0.6364799619643708,0.48285145551483294,0.7217983744501524,0.4351997409899172,0.4148164948624731,0.5961027342153038,0.6059714880455284,1.0962563099313203,0.3904514155657607,1.3842561549464627,0.7315473691275417,0.5078348274251205,0.41581064914314686,0.3983457329258864,0.40672818735469823,0.36592051477187804,0.4276889733399488,0.39215108561157097,0.4111149696260511,0.48857940969747987,0.5772671969279433,0.8701633197336568,1.2398374947058146,0.9451792097852204,0.650315560704114,0.5438438694576554,0.5392482719628385,0.48943889554660786,0.45950529968790943,0.4210631155310895,0.4235479557174091,0.37859172181191114,0.38686878067610425,0.4366055910605472,0.5588285288939775,0.47689105188947273,0.5400561345088079,0.6096454230516899,0.6677261665376074,0.5070878533964717,0.5007118622770557,0.42093279406975564,0.4216047239060148,0.4211309776824401,0.4913880001194731,0.5218172296295741,0.7784404015581641,0.5084642027047309,0.6034977284368058,0.42793698480230874,0.45002288977792615,0.47173088057071494,0.4873325855416819,0.535497006575007,0.5678510929226853,0.5302741040225215,1.0383814756105436,1.3524491457725794,1.008979612561534,1.1845651815450062,1.1766173026018714,0.7555465188488845,0.6954001495324003,0.6026477748421801,0.6754716824228396,0.8517637830822161,0.7835564496652504,0.7073132874286913,1.074481395101579,1.0969265051709642,1.3595527602806148,1.0860794248226007,0.9701848016558429,1.3161047576817941,1.3861900089000887,1.090651473325716,1.1736450285682831,1.6148634003250923,1.336139600114254,1.2025799856748793,1.4586295342845013,1.6268605118068058,1.2895350643515155,1.335373368180275,1.166647702504721,1.5435323261613654,0.9839684380863692,1.103665513695782,1.3031741564676174,1.1993872164559078,2.4066325346228017,1.6259175285009144,2.091437360209498,1.654276378154014,1.6690386413243585,1.6836084097806663,1.6011231705471096,1.366958835806881,1.188663200510025,1.2876750668830639,1.0912271769800497,1.0731984166889965,0.9439532520148247,1.1991582978291893,0.8096958065843537,0.833632049880462,0.8762062020764606,0.7743129396960541,1.0878797239658426,1.2688607107923562,1.4960369619750418,1.7368590178411212,2.0180872821284983,2.046796350907752,1.7238482316474641,1.874034379187839,2.1320721370837785,1.9772248187354036,1.8546174015971089,2.190062854520994,2.311465645618845,1.9848240579720957,2.0501260459889012,2.2744940321141423,2.200073785719628,1.9567913842050597,2.007736158291931,1.769751029241134,1.829234312709629,1.7894941589555153,1.7082745449222168,1.561881802518448,1.375657902302677,1.3830166671745285,1.2503453479494624,1.156532420235862,0.9735186275773967,1.027367183769039,0.9445987000052086,0.8573320349504062,0.7956549363518971,0.8245156763450986,0.9972057557938526,0.8739516696599462,0.957624566116197,1.1250977817707577,1.4125693980379168,1.0735795154328824,1.0340128154954464,0.9043066274281922,0.9554852202109068,1.168367098299859,1.000704760576445,1.0228741669120933,1.0456538063138616,0.8575559238888314,0.6719714918098344,0.5819824152539158,0.5864570209859518,1.3007801449112457,0.6183090092898393,0.8530569770177517,1.7461964871839215,0.6232944824512751,0.8568487635574747,1.0661092820002127,0.7551914962305992,2.0894252029779494,2.274757550125773,1.7257085656153472,1.6757703858920805,1.6606786504087803,2.806595878937831],[2.0461596133750395,1.0148106934618304,0.8092313023007657,0.41723391713555735,0.43760738114786996,0.44403924316174875,0.2504656748197543,0.41036381942477895,0.37858617127444566,0.3827628148763771,0.47543526636477973,0.5779057503428664,0.4752057889927091,0.4160587806703934,0.5985263623237994,0.5496701325750635,0.5173543646639273,0.5129125373212952,0.5096078697025215,0.5277115190454136,0.5071511090199762,0.5065192457487446,0.5315370910309343,0.619408360483559,0.5435420777665745,0.4700053672343571,0.41558148199446304,0.43393818643201487,0.4734315143246649,0.5019795478095709,0.591219574164098,0.5617772880833877,0.6316508606592056,0.594920515908116,0.5398239618031344,0.5265789309819556,0.5178532922157629,0.4857861848953374,0.4509311401634027,0.4553000333051317,0.5483882345932266,0.5576042423637038,0.5756269554929258,0.665040264218969,1.0398622174934258,1.702100400670635,1.5860359263135206,0.880651149098102,2.4422644414922736,2.2333542268923843,1.0041658655005385,1.6425840677768457,1.03387193022735,0.7209334842920635,0.9637652457414562,0.637453306319308,0.5756882862109597,0.5868980674122601,0.7275836718166967,0.8085068422469032,0.6549434972304228,0.6780401224894049,0.6377491994406131,0.7401047865915341,0.5551065881192322,0.5133269934077738,0.7400121502355039,0.6281971220357492,0.7154123101924899,0.6976430518877615,0.9156148940243405,1.1725742381175526,0.8750385699169992,0.8018477083071586,0.6644976750951382,0.9335316141789799,0.5731277370003032,0.5858973193062643,0.5622084433709262,0.5491177171609666,0.5520406247117936,0.5461720572913937,0.7581298879134406,0.5892799379203338,0.4995792895556507,0.5039432636462844,0.49894654068919875,0.585644446613514,0.5196623832648756,0.6084563783881756,0.6125519765408748,0.7671603723222862,0.6644295423227733,0.6029854012713216,0.6060788744216796,0.652961159278706,0.7384145598285315,0.6145765277446541,0.6133732696995677,0.6978352732183158,0.5932964321201167,0.6747881165538155,0.5477611759900417,0.5546330601835086,0.5086853630209844,0.4605216306134483,0.7613329649574392,0.5524061961679043,0.5667453681900125,0.6593015511807903,0.4990861457763125,0.39005641892292203,0.33187533632290894,0.3470733190716429,0.3830664734613725,0.3342409088057945,0.4863998453069238,0.978988460412922,0.4495930847734417,0.5941093920991637,0.45971003477273714,0.4128215183134192,0.37497079461951155,0.3247257500056928,0.3043515116253098,0.3036460309128448,0.5106301790360288,0.37350872686806924,0.4098283936652436,0.4803444357754395,0.6153076451426817,0.5907869360613365,0.45433005743594607,0.7064051102496266,0.4043416560799745,0.39568586026762786,0.6747371680270459,0.5188170860448515,1.036326445338002,0.4081426337283869,1.2886389607422923,0.7206092140744312,0.5013147293528996,0.4161755270689961,0.4194854369862576,0.39709256751270594,0.37033056957155347,0.42492385196444743,0.389122399900086,0.44490667183727967,0.5110396376630348,0.5477198301134437,0.72547653568346,0.9142709337387219,0.8102227811856354,0.592008573258435,0.5423959425786348,0.5306257611609769,0.4919793801994305,0.4930544599463769,0.4172926486114367,0.431412936672205,0.3936783976907731,0.40410757895039356,0.45194910481292094,0.5902727810442505,0.47435620511287957,0.5582868494328613,0.6316029819913498,0.6650181354103668,0.5106855963054812,0.5336850256607886,0.4376575038036107,0.4307865218260015,0.4307884962241321,0.47336522535926995,0.5097996059597892,0.7562705406191271,0.49403051015450294,0.5651692114067052,0.44507279330937793,0.42898651739652577,0.43984259812712573,0.43771460421152536,0.4854423661411819,0.5186089969766741,0.4983874577185136,0.8936654869397188,1.2145146112056704,0.951557115319172,1.0968273354974138,1.031281390417942,0.704365922948573,0.6533107381801356,0.5654975814308285,0.6504381323085979,0.8263433369183523,0.7610007787632271,0.6929988711906255,1.044291599430241,1.0701942913657994,1.319589741634918,1.0555602266146404,0.9509966207437233,1.2844425463668923,1.3615018656942703,1.0655711594456492,1.1455045921326807,1.5655603182732938,1.2957327046814637,1.148539141899054,1.3873981740921524,1.548403296919835,1.2190246208100948,1.232662882804475,1.1086939631558606,1.4576074465013964,0.940995957125955,1.06437870421565,1.2460014859906434,1.150185170558583,2.368847597571156,1.5765876525167941,2.0375060828989304,1.602426056661367,1.599184687502403,1.6183183976218674,1.537556717828758,1.3218301261762933,1.1636873738416063,1.2628780941609496,1.0770869619028698,1.0764327030247942,0.9393386910071875,1.1422941044924693,0.8205811965272217,0.847359224563643,0.872627272021696,0.7741128952784248,1.067199759532379,1.2277872235020517,1.4585071056496859,1.6610467964101583,1.9036186900838805,1.927884319583804,1.6628090429327103,1.7839431442971385,2.001629000377104,1.8966183565753933,1.7886544428473994,2.0771422965609876,2.198010375880671,1.918353991094369,1.9481819260011657,2.132004668484029,2.0815287487893492,1.8492603164719816,1.8809274791060013,1.6777551652109055,1.7374657539098834,1.7151851298708822,1.6335319572753866,1.4913272520391627,1.3325840179547739,1.3408967357821355,1.2130090128200555,1.1245697756337658,0.9588382461545958,1.0117600226429568,0.9279965375399085,0.8463903511471307,0.7990929335756782,0.8241518135089072,0.9922990828347573,0.8611445765932656,0.9325672024279187,1.0705620352558558,1.3659477966788285,1.029293111591163,1.0021536620976021,0.8730843136236618,0.928592711390568,1.1562476184660375,0.9910036649976767,0.9985278894021855,1.0137693408746444,0.8509274602778469,0.6490306089685937,0.5708575746306981,0.5313196330297935,1.2576711547205843,0.5894895359619665,0.8526699033647324,1.881098306052706,0.5862170522529956,0.8443059623235872,1.0936803660667607,0.7939441734927086,1.9542982386843464,1.8640722034321016,1.411129877307357,1.3460100078973245,1.2941544666781262,1.6136954271045343],[1.7225518703550755,0.8483260040695779,0.6802968201705246,0.3370565418128945,0.38954364705582606,0.30592943737746175,0.17082932324695538,0.26871015538672366,0.2511940468191118,0.26825067066727737,0.30685173147138806,0.39917012313799843,0.3193703064036962,0.29123476334833504,0.4160409314300583,0.37553045798848134,0.38374334875762206,0.3657145214964482,0.446899363814648,0.4205839459825809,0.39543895429656867,0.4164022707138889,0.46302206127132767,0.5661989742496484,0.5084599675132437,0.402844448461625,0.35454572166557036,0.3556721458142693,0.35491263583719124,0.3496970006501617,0.382086574059264,0.37927575502272654,0.4191489590219839,0.4065783007459772,0.38137696242189933,0.35694492614354,0.3724384002170884,0.3588663329664282,0.3323868281771805,0.3337138537696304,0.5065560981797259,0.4329002000978906,0.42516148091579264,0.5768605660791029,1.0139984516172227,1.676311899929662,1.6226127684609073,0.8713903472788598,2.426052127922626,2.26537176753398,0.9941515564254196,1.576595317151701,0.9034828197658185,0.6596557585791905,0.9122409297214786,0.5376509639346317,0.5097763429482325,0.5251142751066713,0.6755425898053904,0.8246199087838967,0.6055076754949125,0.5801271996814612,0.5257595280713352,0.6070639662259241,0.44583725374913974,0.4193954102697079,0.6323152720288704,0.4956899572433885,0.6407878855627955,0.5855969282205643,0.8210399831133732,1.0426050594818026,0.743993213458111,0.7202442346420987,0.5186533798753229,0.8067545352890515,0.4342910404146848,0.40497636005961163,0.3965045340565642,0.42183968370298747,0.4207248779908786,0.42578042836763647,0.6743025167169281,0.4801112687064286,0.37346722471098737,0.3859408207338439,0.3732202112808667,0.45746816218475383,0.3688590193017387,0.46220118280296774,0.42227778935131455,0.542237904137182,0.4583039933472455,0.3769364016159542,0.38709661373846527,0.42898313101699487,0.5311797375861651,0.4064780007256114,0.4089146585336473,0.5070031024922848,0.4186723549748435,0.5554974654003327,0.3814414335340479,0.429209217113786,0.39498785288867144,0.3868557390056044,0.6125880572437492,0.4208138886029504,0.43659036351534053,0.5786561210193972,0.3898763170563772,0.2703233037429521,0.22306297588051127,0.2656588857763412,0.2975469950537829,0.28778433560505007,0.45993691852681595,0.9590881295211006,0.40626965753078614,0.49025182489931846,0.37734195488320765,0.35044340428396226,0.30979935033235384,0.26891530233571204,0.24720057239932616,0.2540813719430522,0.40657840763435,0.28003106311439563,0.2865236254974287,0.3746520437165037,0.5522731845531594,0.4865426235010995,0.3545206254649111,0.591185896055724,0.3160642456886147,0.33738741579043036,0.5976009356222471,0.4639830353673899,1.048095465247647,0.32789348908629856,1.2315556726336037,0.7010648688919058,0.4818728946294285,0.35333147732184367,0.33334908579335404,0.3152756327836557,0.2901441383636618,0.3305752313891156,0.27406672545782246,0.34272365584656644,0.41610824700945487,0.44002604706114296,0.659823521615428,0.9061107844461254,0.786035105164804,0.470593445010454,0.37781280757462976,0.38905416369825147,0.33421234842522524,0.36160284856253755,0.32688201613993495,0.3234984094734918,0.3177863671627832,0.30545891538277303,0.38339168200530716,0.5511499991625384,0.42298922101565506,0.5355053958946435,0.5940396653658011,0.6376284310342204,0.45731071188858513,0.4495283770760055,0.3527861908798104,0.3359562371522312,0.3121019897256006,0.3484724061307205,0.3976939607245692,0.6241326342427548,0.3805868032090541,0.4468504105891911,0.327132819917946,0.3360694607753911,0.37566989216805907,0.4084817743223077,0.4735154262982811,0.5067367658419485,0.46286262886034646,0.9429698811071879,1.3095528048651213,1.0143636700826284,1.1571348141037043,1.1212360711534743,0.7542057575877297,0.6822985103218036,0.5351594506106642,0.597676280892602,0.7955859748420278,0.6622935912569299,0.5880648849814352,1.0055712598608113,0.897417674210137,1.1801659735328973,0.958239475244886,0.7746704915065721,1.0665442712448971,1.201473198015207,0.9178731328978208,0.9245581045154869,1.3267576379571624,1.124263134946092,0.940785116989923,1.1497191290672115,1.35161659933898,1.0555411939550297,1.0220941422636438,0.8818632504585217,1.193018704830787,0.7348955223663921,0.825852233412996,0.9629969381176418,0.8735792679960075,2.0845129617738625,1.2711282178625212,1.7419204047004895,1.2894621647616906,1.275446581809416,1.3364102450324704,1.233622822296699,1.004442836171813,0.8944824913133622,1.0255831812384266,0.8481083225522766,0.8747864550088579,0.7422054524540432,1.0188519440295187,0.6676137334874839,0.673594634482439,0.7865630296450171,0.5954711084563373,0.8969451794540834,1.0372943259939915,1.253528302169388,1.493683514312745,1.678403424181363,1.7595000378118146,1.4938180034079587,1.54531608555952,1.7906258242298752,1.7228859080723853,1.5611141313928354,1.8171325745008944,1.9517212916136175,1.682156399029231,1.672100382985152,1.8583435626843803,1.8489324666327536,1.5763478592934475,1.579947986876888,1.383081534499376,1.435816608740402,1.4390957126859514,1.3309953737365288,1.1781362670870483,1.0622684374520672,1.0627586356405567,0.906467042137412,0.8473395268571922,0.6981516220100359,0.7175358905069842,0.6836660092958265,0.6501002355001186,0.6000294884516282,0.6457398357300144,0.8356635595179426,0.7604468078187447,0.8403543008115805,1.0874664092314608,1.3746630264293513,0.9208527298203287,0.917298277538818,0.7146342394652767,0.7579778261971667,1.0874885841955757,0.9183121874560625,0.9780764228666998,0.9675994202706157,0.6873397904548628,0.593048296534472,0.4527139402450595,0.49368007216756965,1.200329093482965,0.5183650772524918,0.7385363780670784,1.8667194465024042,0.5498583571900897,0.7899176070334285,1.0626698340382201,0.9679194861875824,1.7449226246457068,1.479954736131134,1.2702494558947963,1.329357544908985,1.4123146566363758,1.7517576545884097],[1.4249554737159567,0.7167806421667694,0.657261376424663,0.26180549623642924,0.3640645615793604,0.23227799303409277,0.17999253802647705,0.24952815888504978,0.33431946663111617,0.2659639936070343,0.26945350677709135,0.3699954346691891,0.31997602791840235,0.2820496834385091,0.34101103035649283,0.33378699082111823,0.35346855855479986,0.3207837160667562,0.4025434427882707,0.38542354735332696,0.36010742779946475,0.40447090169611855,0.45574346593943943,0.5709691013913931,0.5309249369173938,0.39482745951686127,0.3354948003540442,0.3291745955083804,0.31849073077991363,0.29766085505296536,0.3572882177142241,0.33603330224002287,0.3969036850308514,0.36615345121744364,0.3359817438646493,0.3185380715761897,0.3292026368382575,0.3402497733494012,0.31293584559401266,0.3267614375297431,0.47226717862142237,0.4264787047023671,0.41710893867474313,0.5908004566626998,1.046706487234965,1.6734365008972305,1.6972663730964568,0.8879041747968752,2.387727282852846,2.264874122050164,1.016451841457858,1.5315720044424526,0.8975015288947626,0.726969968036808,0.9081975418947825,0.47601463738166383,0.48637760260386875,0.5129072712727625,0.639525608824898,0.8340880316573309,0.5854172927816622,0.555832570502304,0.48385787231526123,0.5749708583891598,0.44920883071495493,0.40253392426873463,0.5934413808132993,0.43299930676804127,0.5858093884828887,0.5249431282593592,0.7321717890656816,0.918992245714165,0.674141225686711,0.6927141365411852,0.4737511936023604,0.813754776377951,0.38530776132125716,0.34388352104086517,0.3511900148830049,0.3784808199749429,0.36531270626282936,0.4027619380722417,0.6761964620065575,0.4258451294956911,0.354832367763602,0.34058348846142683,0.33203571982295704,0.42865180526136915,0.32589891953110356,0.4473057819415806,0.3812596836880276,0.5815256839216477,0.4629376534475885,0.34220584196478576,0.346813794021439,0.4119328316874271,0.5061937684404157,0.3830101281161894,0.3789814522267142,0.45711900677036504,0.3832132361042774,0.5181480020297095,0.3711139878609009,0.4203831147879093,0.40493329174389653,0.42719684662851076,0.5086392433421476,0.42845814802637944,0.41997311390108116,0.5575705561695823,0.38165737230903446,0.28085403716970814,0.25804333402241975,0.3159267580859645,0.2977930213970821,0.27565606120926905,0.4464983933385242,0.9889495538120779,0.377019971935379,0.4431638799199815,0.3207782994076759,0.31285610354342314,0.30617794523227787,0.2397417362355434,0.22798358395305168,0.2812910169073575,0.3416465922011692,0.29967022773538726,0.29601507842579217,0.4053788747441811,0.5448912286478174,0.4649096797528856,0.37444479705841754,0.5858742116552247,0.36148219451025443,0.4269162989134697,0.5675665975028353,0.4360201689284948,1.0247380002823279,0.3408320558871625,1.2616061336698046,0.7610267444093696,0.4658007198084216,0.357995098569565,0.34689793286316056,0.29959969136490766,0.28577091361424883,0.3264086860755389,0.28675916721813155,0.35515011602668106,0.4502213790249644,0.3784665818664675,0.5520423898346014,0.8468179947963037,0.8122913008053415,0.40712048146507623,0.33751607516729054,0.37184613094376057,0.3257928581618663,0.3530690534013686,0.335320723238906,0.31231959173498286,0.2902418425735973,0.2829935350283912,0.36240654457055677,0.5174659788382512,0.40509841219790715,0.5296304351005583,0.5766655534847406,0.6151074571934871,0.44828798653266844,0.391118395966779,0.3512770259001266,0.3387161326963218,0.29731495982146533,0.3599957158960306,0.4140666629208219,0.5971323220897216,0.376909746731062,0.4410538639978671,0.3194840522255357,0.37076140538073554,0.4201898279280411,0.46133371324930006,0.5146303753037307,0.5323541910100492,0.4718032500750244,0.9621891388490085,1.3643783058356254,1.030415536697426,1.2365073080871298,1.2139818509852731,0.854942172747576,0.7744240976087843,0.6010961332882386,0.6326401473493816,0.8040028204418957,0.6426641975883278,0.5776268036337597,1.0160201832065325,0.8136017613642618,1.0936994332561456,0.9270581410705827,0.7145161550613008,0.9514846492327206,1.1258069231123338,0.8870688039514338,0.8470655449872018,1.1978159720395718,1.0820046603208286,0.8984258379705692,1.065579829397645,1.2861486719495474,1.0545073158272307,1.000372291113141,0.840582962128616,1.1189940515817691,0.6881331806245472,0.7458160172661309,0.8420314527306961,0.7695183488661701,1.92074950371611,1.1491725635259096,1.5316994455778175,1.1051946768187453,1.0734117003630954,1.1535947643286821,1.0364117960795698,0.805949798796399,0.7474722962215974,0.8911107642141423,0.7448689413016615,0.765978676387459,0.6445332290211602,0.9730947418886267,0.6567620943238267,0.6380493603712228,0.7969546903015666,0.5442401880291371,0.7958696870284581,0.9310130912048501,1.1302458909494753,1.3818820767331141,1.5058801281797174,1.6321356618173488,1.3721260193821792,1.3825284091435643,1.6301963457164432,1.5857318040223431,1.4047844912191694,1.6299319394603125,1.7726094724630415,1.5333956440531613,1.4972716836248314,1.6767567023862895,1.7077256013022561,1.4209804223640436,1.4020561203802218,1.2161869633503057,1.2446017153983653,1.2550148803820376,1.135903647914958,0.992057951947011,0.920215000784751,0.901158629301655,0.7461270438284225,0.728047084701391,0.5871726872199263,0.585713655911405,0.6344241115564597,0.6093275129564137,0.5710182836843654,0.6298039413559451,0.8258594261079175,0.7839696859210187,0.8272130147879045,1.166061707923293,1.4285390061500387,0.8850342934590127,0.8600565100264695,0.6648110567745137,0.6901683051597566,0.9970983988016018,0.8523815379268272,0.9573469541716846,0.9554750048809084,0.6325742953396646,0.600641895820967,0.4719152426879549,0.5267413071864211,1.1921681301889822,0.5215384873607274,0.6674435958380328,1.7193646154471796,0.5863136426846995,0.761308116573812,0.9902257100623193,1.0469061663341497,1.4172150767302698,1.2525355532857507,1.2483826755158214,1.2674786373567293,1.592015320176718,1.9184721080668419],[1.2533150563970417,0.6826031879757841,0.5498936308129948,0.19763224703656773,0.3675387913456613,0.23696868601856363,0.24063650000718012,0.30412243362231245,0.3438736022426619,0.2951590781040667,0.3081169796569802,0.4065204823528446,0.3433219613979613,0.2993917202036922,0.3648065202233976,0.3504312786801486,0.37035607694659206,0.33918508224424565,0.41767807972894055,0.4011206223728246,0.38744234684169937,0.4430563508738331,0.5062010039243743,0.6238047592727667,0.5875120571183283,0.4389617381898316,0.38270584166856064,0.3532676930097519,0.34827139692132647,0.32322329924109355,0.36536869679940354,0.3594121974961202,0.4255853406400418,0.3921237034122291,0.35030862827071835,0.33255268063753923,0.35066308468367674,0.35962952632521633,0.32892907063449023,0.3665414465345545,0.49900765791633683,0.45446495103346246,0.4172333867753677,0.6569483268897295,1.0892908479024668,1.7586458996286303,1.8787451178357684,1.0093380697557641,2.450584114377457,2.4462951535478874,1.1017345854686769,1.6071461661416866,0.8843351142039285,0.7125655444866703,0.9161784987850937,0.49004283253680997,0.5532745215120728,0.5376696216569719,0.6342978868127511,0.9135539023437236,0.610053205807025,0.5566750440816427,0.474550854709065,0.5558534409113456,0.4776037126944241,0.42187801646398637,0.6019350367207733,0.4369131067144988,0.5921241888671154,0.5554378362322185,0.7056074095503269,0.9124901092653201,0.6802437107244265,0.7279657206506761,0.4924982873589542,0.8521955390525183,0.40819403629603723,0.37621778490691876,0.36547049190130604,0.38943411673675393,0.37984497080398893,0.41932882306999114,0.6562941722860034,0.43716320868663544,0.36111744249246364,0.34726541066297184,0.3511019524379546,0.4344117181960659,0.3404611595505219,0.4633506062403072,0.39795625905614196,0.5972863901414577,0.47409970565660875,0.349407959545419,0.35377800181823305,0.4283409553075877,0.5174136150817659,0.4048994765536536,0.4123477656362911,0.5229881199068818,0.430536002529103,0.5800894028450987,0.4106581618752199,0.5046606870504386,0.478552558987505,0.483844044419005,0.5932855637224324,0.47916908564751853,0.47814059967766215,0.5905479094503586,0.46028683833818895,0.35792769572856675,0.29826673997141956,0.32217399532755076,0.3059414569963918,0.3177200315210034,0.44535909924880696,1.1086948436179545,0.4202619578050458,0.4195098188752152,0.323094538704038,0.327197938229742,0.3797803606286957,0.2743029668452272,0.2607224973904254,0.3028486781674955,0.3164352791182849,0.3602199316046517,0.3466161783685009,0.4310842642224736,0.5522310312467433,0.5421298609678168,0.4631563226702933,0.5325064695891383,0.41341584449069524,0.4853076833567655,0.6439245168086943,0.3950085135614997,1.0282149799443483,0.3753457064503407,1.0457263638846492,0.8171486809911257,0.5373006842270577,0.42637587595438836,0.39994023138914875,0.30962303362074634,0.31473385373723656,0.3371944884714895,0.3193984454277405,0.378113176736312,0.5043023836082832,0.42028182905625255,0.6158238822917025,0.8692135635640617,0.781452414431095,0.4693737499724037,0.3953778792666729,0.4403142932319138,0.36580445593309174,0.39775215436742334,0.3554620057652269,0.33163725414897605,0.3300013960120031,0.3036920084921526,0.41302977353687315,0.5584042051577436,0.438146676009563,0.6000441607236454,0.6694264389308595,0.6591420053403725,0.47728842939146365,0.4269407213465548,0.3775209631122104,0.35306775921568045,0.32933817505448476,0.408538134343402,0.44611979083128045,0.6143151324198081,0.4129273029839508,0.46196826908738853,0.3401460490050406,0.40783850654892795,0.45583144203711956,0.5215838817520377,0.5800079250923603,0.5984831334908404,0.5286112815613483,0.9611923419712185,1.3882062624068185,1.1321400004839832,1.3259390995908966,1.2602287399641052,1.0092893393834752,0.9231558933104292,0.714227080932565,0.7744871462296827,0.8811516199198525,0.6910698354335378,0.6054805528348244,1.0798722643838445,0.7870092088934568,1.0410701002591216,0.9307245381076806,0.7109617706288931,0.9041181102867499,1.1092877373208045,0.9233206488860429,0.8284188671217044,1.1635829014273538,1.131499268220698,0.9195506255878976,1.064515932265185,1.323626787080168,1.1129195487092596,1.0479955102255951,0.8573545536102188,1.094505640825817,0.6965698364950088,0.7339633208468124,0.8170920254117942,0.7562024224592172,1.7554817627720076,1.0518122159169632,1.4389876889509283,0.9925960795765266,0.940737633373739,1.0424454756097978,0.8932181683787475,0.7259972804041591,0.6765476678742935,0.8151275466237233,0.7125337832517518,0.7770151253251124,0.6375678350261585,0.9150601077989917,0.765333523583471,0.694905378650132,0.8740167467835848,0.5592255831652015,0.7925347572778898,0.8608101624233983,1.0276599071635744,1.2579405163062107,1.3635929799527513,1.4899353900614083,1.2803283951567643,1.2592843735105475,1.465853160400478,1.4735203427648904,1.3136851844744084,1.5053620686307756,1.6498683868237856,1.4711967780994262,1.4067579520455566,1.5654522955784154,1.6443480131632497,1.3578502671700596,1.3202174462262712,1.149549670230348,1.146092126538418,1.1591992847839712,1.0198212867086789,0.904913653132843,0.8728962732447634,0.8188817970336779,0.6893804419081575,0.6979684118850525,0.5627809516655278,0.5502847738215,0.6708241992091694,0.6097045454802055,0.6062443076460193,0.6430279075969727,0.8939742891899527,0.8201501974457157,0.8439237085630873,1.1871507193670747,1.42220427995547,0.92647817033912,0.8561317934365862,0.6519732633761968,0.679537328303266,0.9554897672918937,0.8383312996000191,0.9892004874918634,0.9829294697590617,0.6717809973840431,0.6009228742609509,0.4614551003628964,0.4746177611071255,1.190464374015798,0.6004881522254548,0.6910074628859332,1.7605058973890801,0.7670878125599142,0.7952136542874648,1.0316627214188345,0.9772299582711219,1.1156874465743598,0.991982069921268,0.9056398379427565,1.6244749889986376,1.2882437040956816,1.5978460925166125],[1.0624001248418817,0.7723811991273956,0.8452827088681466,0.5490683289837581,0.49046801055006445,0.2940207673112964,0.23756817905130523,0.2932703205191873,0.46232943320985825,0.3814273622124859,0.428797993100275,0.4616727203567544,0.36162695119659205,0.36659602189493024,0.4238397067943678,0.36540376101525435,0.3637780900585166,0.32692633999117066,0.41736933703743523,0.4028831295512695,0.4261011705410134,0.49711314244746413,0.6015398839194219,0.7085747110291248,0.6732743405259113,0.5058358418431094,0.42849188828210716,0.3692594158198567,0.3465459362091966,0.31884304252283735,0.39438030475970465,0.32927557140581837,0.40898877338498685,0.38347244203474495,0.3272595197167236,0.3226887521813447,0.34108727981537307,0.38096455484564756,0.4041009183980967,0.4537182387475189,0.5555223256750805,0.49264528042729955,0.4667039445530944,0.7664063640367155,1.1809308654705555,1.7744297424110127,2.0111844816505138,1.1344428362168448,2.4636549081110637,2.523721115766069,1.2041067979520164,1.6976855063773364,0.9071315036872843,0.8599821389091422,0.9778331134407203,0.5613169034605145,0.6146011315365808,0.6062785091408454,0.644769005580456,0.9710687459828055,0.6218365691745746,0.5552514759540584,0.4833011094661791,0.5999811528978511,0.5095803318950427,0.4502766643387965,0.5492821029203051,0.39373342948030915,0.5375294446026246,0.5312619145540074,0.6345289092349954,0.8472956255850786,0.6094407874464624,0.7025436626032058,0.49761525627278325,0.9317929588977575,0.3959607115815432,0.3672823492926296,0.36157342113697594,0.41621004950386736,0.3554375433269082,0.479375240697683,0.688484035773057,0.4124527058401093,0.3997788366624877,0.3971192145140037,0.39062307108736727,0.4223979037735372,0.33818787498237035,0.4478348768738763,0.40735727961119383,0.6946371965432694,0.5622774964450656,0.4233073059160706,0.4028669013136876,0.4858648791600018,0.5687079609883876,0.4114784966942716,0.41738467942969015,0.4706996662053851,0.38691144906697056,0.5000071224986095,0.3577710557523498,0.42021353485602597,0.43734726084636216,0.46680315843279835,0.5041996384276592,0.5566315924405574,0.5254620904258587,0.5865766749923241,0.49004169997056357,0.39461938488101567,0.2890511806042763,0.3287337814532436,0.3037154878703389,0.3438088664355873,0.4298935027281556,1.193599603595006,0.5260566431655871,0.3879673411892654,0.3644036507405172,0.35673120072403747,0.4111958405226066,0.2789071070827769,0.31647284866472014,0.3621050463844273,0.43534975645117857,0.38726587467730317,0.468780965279157,0.4997819511102088,0.577596214203597,0.5547874467671916,0.4986557186744836,0.5581568400397694,0.46199544650505636,0.5464269934338085,0.5294696717721966,0.5145115174962385,1.1861909597420304,0.6278833838437694,0.8614947284907715,0.8394613565026785,0.605671050284151,0.4901867565185284,0.43447723745250627,0.3309169220652589,0.32754340009087024,0.31237150507285616,0.2801094125464939,0.35994086242163487,0.44432705013056334,0.3886438772977494,0.5487979577209776,0.8278758497953328,0.8326783325077571,0.42262985222008936,0.3556475497058183,0.3605944783932498,0.3153909739712366,0.3498578330795493,0.36396879229101964,0.3509633491254576,0.4339151531928223,0.40578072264305864,0.5595967067446871,0.6986435214607072,0.6235273972547237,0.8141137391183848,0.893455706220507,0.8550424508375157,0.6467967105887417,0.6121141042939795,0.49762525767065524,0.4069901206302794,0.3544380010106205,0.3957888160922673,0.43178560683535877,0.5495333087283101,0.4237059008604563,0.43304511926581873,0.4090611363509483,0.4132262730512481,0.5153727278799668,0.6168238679338419,0.6332272839820372,0.6827178029595796,0.6419449651679315,0.9958726163485794,1.4276442523105382,1.1151619620628537,1.5065063843815787,1.4518023755101621,1.1485325356568599,1.0119956738797946,0.8043594303135113,0.8583739359568756,0.8693859110416103,0.748476611175017,0.744177123786511,1.1456063049403085,0.8284298497087401,1.0075268087448823,0.9524628981170818,0.8238348179661096,0.9034496043164362,1.0897440161681795,1.0096201005948007,0.9075574153143249,1.096543435771238,1.1449526930729235,0.9949384378093266,1.065995282890305,1.2821925895851651,1.157560012075437,1.1246865936381873,0.9851973926060349,1.0970370139336885,0.9106581029211145,0.8796785165094512,0.8899632828280986,0.8883871971948251,1.6321762755118592,1.1033745580383552,1.3665753468766801,1.0086741225607803,0.8884522004560654,0.9704196308859079,0.8435326156242502,0.7648708817275731,0.7521397980841492,0.8739817540246833,0.9089474757141508,0.945008324892862,0.7778275759946207,0.9700713120870299,1.0245430310828165,0.9504165880055443,1.0327430094680066,0.7453031608649097,0.7984993746642188,0.8806970000055191,1.0065394502674267,1.1880043697187763,1.250424839969349,1.3925557312925563,1.1972872613351393,1.1466489346423834,1.3340866675866148,1.356567092413218,1.1989364526055324,1.3534658972072253,1.5005709944970427,1.3513545095183939,1.2781118234601232,1.4124261002299843,1.521591447928295,1.243620542673664,1.1908054899493408,1.0623935487921055,1.0450539890847559,1.054552505728205,0.9473280233302687,0.8681188604313159,0.879917524065744,0.807174917879585,0.7703017451973811,0.8440067442882463,0.7445001251005429,0.7453389462364484,0.9777650218047695,0.8957914727478264,0.8822682303855122,0.9678715250166299,1.1716184613804266,1.1158697749392616,1.0933836076041226,1.538023179179753,1.6672896533773445,1.138024099997025,1.0423725318182182,0.8691425681777962,0.8850286181810127,1.052003237978282,0.9892699927568259,1.179783505507108,1.2377803042584083,0.8781495981115044,0.8073269807598373,0.6409788712337661,0.5837243860937054,1.2203493747848781,0.5614067945978616,0.6259183993315452,1.4946880878659003,0.6978723452415674,0.7992157736096577,0.9332996972876969,1.0143110837258837,1.043631435268879,0.9651060048738315,0.9634203575031172,1.386088510197091,1.4680224597538187,1.7878509019827544],[0.8783875764956725,0.5084772472860566,0.5791449601536801,0.2802121974425187,0.5039408751504013,0.3578606848809115,0.29178737749577727,0.35001287646863416,0.38199564751902143,0.2968452516186969,0.3252527470933154,0.3958826906981656,0.3403269368797948,0.3589179887853162,0.43779483682096876,0.35031174088093286,0.4062586765555156,0.41093496471747004,0.5155304735485825,0.4619326829409675,0.5036803818274147,0.531141092692791,0.6656337457290497,0.7479141199535744,0.6978893060568516,0.5512143748108291,0.46069488241342466,0.42823259212003995,0.40849007241447616,0.33529715596982707,0.3955282344363622,0.324031567668905,0.4020316915296181,0.3655302613260885,0.3294684587197026,0.3380414174174546,0.35343785248040427,0.37744740385902753,0.36999134548500573,0.39965298401524574,0.508087016883483,0.48711204232372834,0.42933220791799864,0.7234792440787239,1.1697795395008788,1.8103421952327154,2.0539565344832185,1.1245917179415446,2.469624625797472,2.548039949510758,1.1801290347536022,1.696443398685624,0.8570404632198423,0.7864256722209907,0.9158092205518078,0.5250673762342957,0.6108128131690862,0.5578504840524567,0.6161952518388744,1.0151451497707638,0.6580418449615782,0.5833924300814141,0.5091953849272379,0.6343536034396777,0.5633662125140835,0.49398749985981066,0.6550207862520432,0.4916844319798426,0.6416093098801391,0.6544841245181066,0.7481335622455532,0.9497002923366586,0.7491156080910539,0.849272289453196,0.5628361914809001,0.9658344447722609,0.4680119234998077,0.4089454321765539,0.3858427927316554,0.4193763642044634,0.3507919824232711,0.4498012695109462,0.6607305450343433,0.4177377935363672,0.3831938065088641,0.3687897329746346,0.37165113992922055,0.45458320464399915,0.35708841991135526,0.45661363638114233,0.39583496984189004,0.62405773955016,0.518635885462456,0.39095163649329656,0.37428520254551617,0.46789616889717306,0.5453422243547364,0.38709993063595266,0.3751576821546804,0.4731331110444511,0.38295808947344506,0.5627736990791713,0.38146784145018103,0.5110249113308003,0.5120729738825192,0.5540477229750549,0.6388632471508282,0.6157543236895913,0.6112028129684902,0.6527237872526375,0.5550591119919326,0.42581186369315555,0.3291790839480327,0.3330601246268468,0.31721067415095544,0.38428446002256744,0.5036604236766037,1.247038106657387,0.6647047375316816,0.4552352249009433,0.4792579909928213,0.4368407014882421,0.5407727928516942,0.3133766017991215,0.2909181234915616,0.34466694799600317,0.47159390077788643,0.4513333907839765,0.4791494494228611,0.5376734209811408,0.6061155562544233,0.6428124880965757,0.6040897376499014,0.6003915101673528,0.5337463429169832,0.6350172327582613,0.7383331081274105,0.4241853791148053,0.9601017548687443,0.5000661030413014,0.8318836659829489,0.865085806555376,0.658677013166485,0.4902185141512429,0.4358532257460496,0.34020710559163636,0.32952401333528364,0.32213515990429503,0.3131187104848809,0.3836802638879655,0.5201771238326852,0.4432876387006804,0.6304105104591555,0.8975935864299333,0.8106243716763815,0.4610106656126784,0.3567924321674365,0.4220921574910843,0.33060516794223455,0.40596711491560755,0.35089524076033735,0.3133881388356601,0.34113639982196087,0.3239294073893957,0.4509224544973349,0.5816999767787828,0.5042385670569228,0.7142120801608988,0.7726481092934403,0.7149742998576484,0.5249007345673475,0.42880925904825495,0.39926804172515906,0.37194957206807805,0.33959350332382415,0.40789013779910205,0.42445883138730395,0.5832438339941002,0.4162715449530841,0.45261125739341196,0.3583558755778298,0.45395238883449457,0.5193515955149683,0.5950745282665528,0.6328773286926543,0.6257521702366996,0.5684479604495181,0.9887004171463547,1.4274105023427146,1.1401985483815327,1.5048346840920146,1.356037219641033,1.1772555259048059,1.0787890892174425,0.8675975944831044,0.9535905585275213,0.9603654462863678,0.7766183618360623,0.7327639217383716,1.108387981370653,0.7475164223941092,0.9507970755211993,0.9096226532105806,0.7022476921073166,0.7993921349858303,1.018692684934878,0.9016905793110157,0.7463996040285499,1.0159488716817866,1.0758299041382884,0.8608333172969235,0.9644190257394555,1.2569429339755547,1.0854052116220065,1.0251646643223165,0.8612615066314271,0.9634737737790254,0.7172924159707061,0.6754826743631808,0.720099465291907,0.7462270376247192,1.5705973188233997,0.9610011916177352,1.211813938847046,0.8043975746769125,0.719296867159816,0.8768790267277357,0.7510411424813073,0.6397251359258449,0.6185645704359848,0.761943697483077,0.8537070178602676,0.9161122451480899,0.7530324582888782,0.9502404648634846,1.051865963162909,0.9334801379269029,1.0204779879907868,0.6845989950169074,0.7666912283696123,0.7852964576298681,0.8895638812175374,1.1069889227975627,1.1764835458380902,1.3205839587158195,1.1268916006935945,1.0708832048008268,1.2794426790259965,1.325108057457429,1.1422430691328096,1.311654514082386,1.4726078728840382,1.3139089099025,1.2190225025215484,1.3836963562150029,1.5255658116012352,1.1898308134484168,1.1300515300034768,0.9579579063701741,0.932922764132346,0.9592363650257776,0.7934458903079276,0.7295106696121334,0.7404852136689202,0.6742241829829454,0.6014349356767399,0.6344321526017179,0.5769166034282002,0.6210243646080943,0.8334485568426216,0.716735569507687,0.7824751225623104,0.8383324488980096,1.0697123995789006,0.9888970336972895,0.9521186459121476,1.4020965006560102,1.5143313405917633,1.021268816512415,0.87911274709638,0.6638143805040575,0.7121515369183913,0.8687881728846499,0.8279462157952197,1.0856755741896873,1.0292705712054586,0.7318221861287982,0.7003823074513468,0.6604647701941067,0.5629993350938117,1.099218760260576,0.7328181683716004,0.7538299430105065,1.7334536387953727,0.9206626469693564,0.8617346300799281,1.0984304548766508,1.0018557921968159,0.9203031506063978,0.9131389885218161,0.8949746362117245,1.636992039959868,1.2167776560990144,1.5497774196300862],[0.7385018399625173,0.45745625731570194,0.6864704789167174,0.29970388275594095,0.6026602763213699,0.4346039110014123,0.3399882837285683,0.38862414309085713,0.405387507841499,0.2666054196471111,0.299494449209255,0.39429045824144643,0.3207033305993469,0.3388183382186663,0.4561483402318695,0.3586639218922166,0.40035916700635216,0.4257593500295288,0.5737071150350652,0.4977766937758976,0.5633819029114561,0.5842232591970458,0.7494501418205566,0.8316710917394778,0.7520833858055502,0.6173045543393526,0.49535783277362444,0.45515093855611366,0.404980404665545,0.32495005255898907,0.3926918662132677,0.3129471934413118,0.3884172742490273,0.37274306959997355,0.32716046234591434,0.3433619444361131,0.32687462490353847,0.3859224369059913,0.38209229163595987,0.4051310509373132,0.5218269189062827,0.5249525777721527,0.46776196167178713,0.7774674625331476,1.207777442672829,1.8234658103573622,2.1341507926561283,1.166052364608487,2.427635871986444,2.5806079315340744,1.2224594014319505,1.697973177768257,0.8861529010105188,0.8171325295237422,0.9272545212846969,0.5461107216036333,0.6447464816346754,0.5985117442859326,0.6443006317160352,1.0537852036240452,0.7030982348225783,0.6268717086788477,0.5443400481447487,0.6733459107576307,0.602512913284395,0.531740828008163,0.6943975299169499,0.528671182454013,0.659085960414651,0.6794745750998805,0.7502695787751037,0.9679006763541443,0.7659558270967759,0.8773327584099381,0.5910206356723963,1.029144686243691,0.4978564613387301,0.4346593077520699,0.3979463785464846,0.44085665647751626,0.35115188407616726,0.43637407475179085,0.6773431966286224,0.4231931401444352,0.38212675271572794,0.3593939908416679,0.37886258853655913,0.4132625279825809,0.36721720852630524,0.4707629833052502,0.4105608075522119,0.6483026334222013,0.5428676971185403,0.4159050374236628,0.3958760550115689,0.512221971945759,0.5845775763571882,0.3883054868919804,0.3734251854483043,0.4961275631270912,0.3829059309728491,0.5913549229098932,0.40024405628093174,0.5445360953712418,0.5490027638492059,0.5986404593699168,0.6966642467939081,0.7352172717457223,0.7204186722756147,0.7057114864639954,0.6359014549093722,0.4729668044521252,0.35686220697253895,0.33440565388045956,0.27211452310440987,0.37476456010085146,0.4947813555726918,1.280620996737347,0.7721984203733299,0.4931879414212458,0.5382612922669474,0.4617443119280139,0.5729589870462468,0.2815894740114015,0.2610029169722435,0.35639919657170904,0.5696671793638047,0.5231597418481924,0.5807624199275612,0.64163105163331,0.6959085892443921,0.75005658063969,0.7280744901987486,0.6778952734788171,0.6392911232512095,0.7464160115619684,0.8497254293729708,0.500376276359012,0.8562187596106936,0.5432512032657628,0.7186854940160208,0.8985614242258082,0.7032889911272263,0.5154997542703943,0.4548821894806309,0.3381555202339484,0.3188856588659499,0.30524315887367615,0.31386212484945125,0.39289875200990004,0.5648987060752576,0.46185978213477574,0.6528646618440425,0.9388970655857594,0.8425840979148105,0.48306645778180823,0.36736016609820876,0.45491165430287817,0.3360229526111592,0.4376350442948589,0.3569129104688079,0.32415046967950734,0.35345703491255387,0.33373348911382755,0.4917563680304916,0.6178791404218843,0.549133706654649,0.7761586886182934,0.831148445313119,0.7394172534292116,0.574455632767539,0.442881073719237,0.4200854927384859,0.385098971331805,0.3493107817539934,0.41998954855323506,0.44113832144163895,0.5797384957655717,0.4306329092109634,0.4712264399097077,0.3823514427172285,0.5038686627975286,0.5781180431044478,0.6635349271875913,0.6955021483954117,0.6518263215118721,0.5881467493216526,1.0147859444399028,1.4670423527788046,1.1975018238848882,1.609438620257256,1.4168817791391997,1.3076015425157808,1.2069370968983169,1.0137629425024,1.117307474612069,1.0604946655787433,0.8928512096027212,0.8591561299923595,1.1436814865689426,0.7994933094322915,0.9532153638804041,0.9427328112825861,0.7641788144610728,0.802823974472406,0.9995344140164627,0.9239191786594511,0.7648227927194414,0.9757879415657217,1.0773196610462734,0.8820104127263377,0.9571266363923145,1.2456022776397468,1.109436469022925,1.0830734206519745,0.9608701421709032,0.9628967452463438,0.8215769535449932,0.734325813372707,0.746722242756886,0.8287328109514884,1.5380148276251628,1.0005441936796315,1.1418203457533653,0.7779322648523042,0.7072577439880123,0.8785393574101633,0.7979376419261338,0.7946121020775806,0.7318335259438752,0.8314888035281298,1.032106540710161,1.075642440418701,0.9085171646188106,1.054539474215953,1.2656642643330969,1.103215515298753,1.179687883699031,0.8394991411344314,0.8395213084237244,0.8200838794345892,0.8821693372613101,1.0741976601768393,1.1126248964837966,1.2477328636232377,1.0910375520741233,1.0124873163813852,1.2030588803923103,1.2734677730172068,1.0711135206189681,1.2156261739222594,1.3791555781162224,1.2424446843346666,1.1340054193759812,1.2950371375841514,1.4765540195620044,1.1282090243362355,1.0650581581726042,0.9075903159953495,0.8692450376154235,0.8971976071354065,0.7303788767524253,0.7333966142132935,0.7420936499726182,0.6948171561537728,0.676120510246608,0.7165977608572238,0.6936622986418867,0.7855907679010701,1.0009795962047767,0.8578151927067033,0.9738915145528442,1.041354904548631,1.2575338739126645,1.160688034098172,1.057039437416494,1.5451925647896552,1.5691003716219918,1.1316713709993964,0.9440979940441178,0.7484270602706957,0.8230631957946183,0.8747508774237012,0.8667568835618346,1.1413022974648743,1.021617678603829,0.812853679063415,0.7958690624841006,0.8332718009080223,0.6613092321117103,1.0530867180572114,0.8411717397630055,0.8395152691196673,1.7407153699626023,1.0440872544832405,0.9605443745261341,1.1833252086814792,1.0315995287482262,0.8037714371119232,0.8891602127975129,0.869425104624288,1.6427224669605691,1.1571674487677448,1.4662550538599215],[0.791707455401668,0.5110092191477568,0.7027179704122177,0.40877838602801697,0.6435974391208107,0.47712841057935146,0.3565932274946042,0.4247526758934602,0.446954212757375,0.32412350216093205,0.3405784495680341,0.4393095064585865,0.3464044163333113,0.3833712742237484,0.5125997083241648,0.40311510707692483,0.4421088090865291,0.4635322730939273,0.599433120016694,0.5236731849768103,0.5926436935316881,0.6222864054967868,0.7667417473600332,0.8635840607320886,0.7618320408443636,0.6442597746622297,0.5211150267256064,0.4715956758630543,0.43290526610302715,0.3553759652797677,0.4549347063484063,0.3617147637940607,0.4383888902995607,0.4421648185420801,0.3708545921731431,0.38491004060241185,0.35494304909651264,0.4072561071507803,0.4074008483283073,0.4206180136937492,0.5459907148327185,0.5489277203807258,0.4907927398190419,0.8008911162854191,1.216576353104829,1.7839480277722524,2.093725892578215,1.1733044392315226,2.4100820529155693,2.5352817513819206,1.2165969929352582,1.6812985610233329,0.8801251565057413,0.8554553672575713,0.9258843763920394,0.5457439043520113,0.6533252531114194,0.6050413307831023,0.6603618166974714,1.056412294958735,0.7023247141018053,0.6477574961180037,0.5813632338374956,0.7316007379012369,0.6276485463227658,0.5606199336645339,0.7444649392688668,0.5711197860496442,0.7066979602194566,0.7029355702396194,0.770277612290835,1.0046490160887342,0.8032151502227928,0.9323464917553814,0.6336637399817914,1.104290109641824,0.5499826013344546,0.4942182922049023,0.443041479644625,0.47642768434596316,0.3655724955896227,0.4496253333606505,0.7015626261758242,0.41705800741393767,0.39730949880348887,0.3817904377902873,0.40680269396137614,0.43153891549268275,0.4055090729015948,0.5140534616421264,0.48282609178102764,0.7093715319771096,0.6092840749169266,0.5152136767349821,0.47947084543463153,0.5835380912133799,0.5947647803426541,0.42528501003246616,0.39927141080522527,0.5362272775086416,0.4096216007834614,0.6004473216934675,0.4077209923284192,0.5456848496003898,0.5477466812301292,0.602556278794632,0.7096461267166322,0.7096776774012005,0.7043686338231228,0.7112239696742073,0.6246240532624288,0.4583951646880018,0.37041941736711637,0.3727759666631088,0.31438611211217365,0.3983920330015458,0.48677176441578274,1.2007245183168247,0.7994744028673956,0.5232718524142274,0.5601911361130241,0.46802868003468057,0.5934569806645756,0.33135729258304186,0.3332062285997947,0.38032620268200296,0.527311921593525,0.503708257357251,0.5511097789612308,0.6029965663214493,0.680266941788624,0.735899252615533,0.7078010601912211,0.6433672334464746,0.605046926776662,0.7108600138651622,0.8178601036206614,0.48360011837883904,0.88715338383933,0.5815300424265409,0.7316544212132177,0.9281440241858667,0.6898788264779945,0.4974185009863129,0.454423155343509,0.3630001394955075,0.34038369607621294,0.33895855677153386,0.33487803915780245,0.4133497531125061,0.5665627996025071,0.4757942524368436,0.6662670437471743,0.9769610457853549,0.857275929282681,0.506193806513257,0.3845601385314997,0.46993607627298445,0.34462740911437606,0.45028153406115445,0.37161894906690285,0.34531241017906805,0.3841284232000087,0.36634101731254165,0.5215259662807735,0.6375868396236435,0.5750651308713934,0.8120269849753534,0.8504432638311845,0.7562452567672296,0.5831163164682549,0.4607160905003351,0.43961425233857954,0.39747994679038845,0.3565533714289434,0.41923821356053004,0.4408051717114689,0.5951813286341866,0.43041320138531647,0.47456584097746923,0.39826851082428666,0.504999366557788,0.5607347204664829,0.654568400584356,0.6852247059314946,0.6520588218366248,0.5974871568165236,1.0177031203780285,1.4895916470258097,1.2025273172850781,1.625594112133532,1.4361576493832033,1.3102038590185465,1.2014946675462252,1.0058539068638417,1.1232913648420384,1.053703619952425,0.880598502116146,0.8592479508517893,1.1680474557437461,0.8393379395451248,1.0049449757928157,0.979697240622599,0.8180466028535066,0.8852498308588244,1.0809193149536158,1.0012230510301658,0.8611002534224579,1.104158250676306,1.1896829979110934,0.9961288920556551,1.0977813283736604,1.3909198681720762,1.2243923918228976,1.204163721852422,1.0431254667299403,1.103131491337809,0.8964739629465152,0.8286983875403299,0.8624080447206597,0.9241999739838831,1.5697847582182096,1.0577848022003862,1.1949504947783953,0.8533663288314804,0.7720218514456677,0.9245024652376379,0.819326136779339,0.8351650872275163,0.7644439911907336,0.855206806224814,1.03082621633372,1.0927412367037084,0.9248404076012859,1.0534746694579553,1.2989485871598627,1.1053244153368877,1.1736279483886327,0.8448092870273083,0.8645483498416217,0.8394897173730604,0.9189476127821591,1.1067834647014012,1.1976662581884654,1.3071581814871074,1.1465424195592249,1.104993218246871,1.2919327497702566,1.3514365915292927,1.1768110749278726,1.347807725472367,1.5146237694242526,1.3711775022300232,1.2802476271484222,1.461177090416096,1.6236170135089796,1.2927207633061921,1.247475294392765,1.072990866145792,1.0181595375643873,1.0188281352418858,0.8464555407203619,0.8635785077042128,0.8569311772220474,0.7775917816910517,0.7539472194530092,0.7914179823202319,0.7367690172522618,0.812010015940853,1.0476517405850143,0.8897167751729919,0.9966397146038289,1.0714547815609607,1.3053780002540163,1.1935956688739935,1.1010194776617162,1.5629287854534497,1.5462781706959148,1.1944300189096535,0.9837736722276803,0.8307248284489731,0.9302828275583452,0.9278279950979812,0.9432593226229629,1.175535851643444,1.0583621638013867,0.8665205259006534,0.8200559272992642,0.819680773492119,0.6589959889201845,1.1266057342198976,0.9139632275002944,0.9670655329296989,1.921023470001219,1.1531104005989852,1.141301110566228,1.3645736293234763,1.0673437362076104,0.962862657742551,0.9637535089403289,0.9864110317452794,1.7303006439281572,1.0739832683670576,1.43915800901619],[0.9361965648324917,0.6545174197569418,0.9336471048044672,0.4324200332022382,0.7787570544621807,0.5451360745991102,0.43210203585471924,0.5045688306982535,0.458802352708037,0.2970347681875618,0.3204104142170518,0.4553931469566625,0.3332210238490325,0.33015030383739546,0.43977444572958124,0.35016660333636324,0.4057488131169588,0.43470230950145866,0.6289197204438803,0.5268831985516242,0.6189532470633247,0.640798156245764,0.8236892452050638,0.91660618912163,0.8282902790435561,0.6896652541946595,0.5315394102469909,0.48949804705407224,0.4231112024268427,0.33566045196357575,0.3893497999338343,0.3317327940491839,0.39420828212692616,0.3563414951796955,0.3224695161130609,0.3380891588969986,0.3336582995266467,0.3936930319186082,0.3953828353080602,0.44220633494336,0.5517303008822649,0.5482822123675655,0.48665547334077786,0.7967038984504047,1.274961558199424,1.9298015963526889,2.2858551404026377,1.261777461452117,2.4690965414954418,2.7086994740923562,1.2899940540575385,1.7536513448507198,0.8756233960752522,0.7829065095659848,0.9132119120144394,0.5761070951664747,0.6926820238501996,0.6081866956152191,0.6485445605123203,1.0990047868473107,0.7416040039870688,0.6529257906945699,0.5539515776279691,0.6964005107516272,0.643930499941082,0.5522293129845087,0.7225318540785193,0.5465900889372178,0.6905512140931384,0.6944391952419261,0.7742302009534399,1.0053575513535438,0.7895948172027571,0.9027559938328283,0.6131967813820043,1.0165448084178774,0.5074647458390503,0.4303621277034164,0.3882404951641681,0.4435940793359611,0.3650052834375164,0.45386237113205985,0.6810540886044978,0.4602606004843029,0.3989426497574191,0.3644973805884023,0.38943617568509364,0.42211336529874965,0.3631697456226413,0.4612003060457805,0.408604350658123,0.6372470862383491,0.5401164969325574,0.39977825083498375,0.3804949779604756,0.4914927946952291,0.5432856109102931,0.38936731836847244,0.4148808599014483,0.5732209049801354,0.45428019813084247,0.7033312658572769,0.4723883274541528,0.6734106442553035,0.6627754769610046,0.7154184976001716,0.8557948838297752,0.8769856197102549,0.8752656054867974,0.8324515522333794,0.7736274263175762,0.5647522187005823,0.43253709146067154,0.3500713017909645,0.27997004245789814,0.40294527792982127,0.5308975697042376,1.34011099225481,0.853174983995253,0.5178413892720019,0.5804459169384716,0.48241829167015915,0.609938603908802,0.2890943782148054,0.2714353368551215,0.3596304554095818,0.656136705762651,0.5998189207222895,0.6835693938596706,0.7322163689662988,0.7784601484269275,0.8890494230426589,0.8386618077133414,0.7526220635064933,0.6916333518060689,0.7758055950861594,0.9290729109231739,0.5498940926958653,0.8196071885880644,0.5765158960659754,0.6772266775370835,0.8753755237317201,0.7630301855636673,0.5719984239747145,0.49270521910906095,0.3620856487000649,0.34484451119543175,0.3204437331473203,0.37324283356310917,0.457344166023916,0.6845134619470395,0.5741943816096656,0.7784931161502688,0.9804108432391058,0.8260944371179787,0.5824712267611724,0.45183735843709677,0.5814039177974534,0.40417114364010376,0.53252575389608,0.3890228297978188,0.33154361580789016,0.3839366265171439,0.35246913019320464,0.5340053774114051,0.6562115131258572,0.5887597375197093,0.8430817908929713,0.8850130442804413,0.7559155484694566,0.5994812608940586,0.4578313077194989,0.42651124534364004,0.41155399958649863,0.3964660925128247,0.4834753856690508,0.472375058598429,0.6410261415146707,0.46932225174986814,0.5290598718806507,0.42154302659880877,0.5702048357819303,0.6413642279364579,0.7246880389269664,0.7382785379987915,0.6907571264640427,0.6376460056579536,1.0225026656325304,1.467917323808375,1.261492250437531,1.6270598200303403,1.3924246432838048,1.3632887163307983,1.2815154970054445,1.1223318922976626,1.259779049262202,1.14524982931897,1.007808575629833,1.0075720196611977,1.2185829421520145,0.9466395561727562,1.0482985500618627,1.048423530758142,0.9444788651868121,0.9614441678860213,1.0955631987799308,1.0806398389626248,0.9549751733138346,1.0906427692850882,1.2000348544716348,1.0726367935133478,1.1275439277990924,1.3420736334592795,1.2401477883539145,1.287286104676036,1.222648303917873,1.137364905356516,1.0676082085374925,0.9801302461389828,0.9943819940774633,1.0871730669727684,1.6339648798071724,1.2140579067708872,1.2280469320097063,0.9824829458517931,0.9208320579534821,1.047383660611977,1.011861386045504,1.0650038840660714,0.9582035260397868,1.039671733501944,1.2474259926230742,1.2812136913279697,1.1278013509967026,1.2009694866200387,1.476887951355331,1.2676245869472176,1.2879206139430535,1.0181876814895081,0.9887808554662244,0.9475214754619007,0.9990430374341593,1.1336209311141454,1.1720635379911204,1.2377788667731764,1.146404582436127,1.0663148658056196,1.1907138117622815,1.2815954227097925,1.125137612160542,1.2231771998922776,1.3544441365214483,1.2701563137328564,1.1816022268517665,1.3075648851766637,1.511144495515236,1.1948857465724267,1.1502126256369147,1.0370632627713972,0.998021205201257,1.017166585894848,0.8979594172428903,0.9671850945318101,0.9448729859554551,0.906146760573433,0.9432686183886836,0.9712428267923466,0.9350672231303682,1.0431483732390419,1.2518146043663836,1.0783281368320614,1.1780091522200258,1.2669592896547148,1.4642122169373473,1.3461955162279213,1.235542557110201,1.6763731510357311,1.6347803651050545,1.3280355126372554,1.1229855315710566,0.9988036124747072,1.1104141899081994,1.0731245197376413,1.0751055620177468,1.2837219061400997,1.1327170130316964,1.0030300885514871,0.9536139883534197,0.9924654889298556,0.7876004403655341,1.0996634300094248,1.0735323439116102,1.08059405742916,1.8268405392582352,1.2992117517919541,1.1834765099132045,1.344768910402047,1.0656295144984316,0.6273732679975125,0.8908469203674149,0.8046883493952662,1.753910421083324,1.127110217567571,1.3505778764998557],[1.0084912366725782,0.6656466464375171,0.9414758499366196,0.4250458026082219,0.7777661503317094,0.526235275068956,0.43155220220096524,0.4953219317489209,0.4670717387127351,0.3247798577093692,0.34099198879267145,0.4542943083075937,0.35494338112091134,0.37824995462408323,0.5041062949860492,0.40192800795781314,0.45342743401646335,0.496624653061422,0.6814737646331935,0.5961538553503498,0.7105271205310711,0.7430764107474835,0.9205273889124967,1.0052519205845547,0.9138505935410939,0.7793144961578986,0.6032578035409865,0.5406402041351696,0.4676656647363517,0.3820975846324962,0.4587265439968171,0.35864207808423626,0.42880451263478564,0.4253094083013681,0.3765667404747142,0.40448430191934154,0.3909479189630856,0.45071633605285266,0.45816385347859817,0.4948609298812449,0.5985808262021801,0.6179343913102411,0.5646227427185182,0.8590087587680354,1.3163370646153012,1.9073483132628237,2.3149956926119186,1.29037195930613,2.41246991102858,2.6815192339947775,1.3245054275914243,1.7679443635279857,0.9375636681488508,0.8594716805917292,0.9614750224061718,0.6272230904175228,0.7278865290206179,0.6625107427125788,0.6851037832458979,1.1192479245822358,0.7920450333134372,0.7141979640991275,0.6233108843215858,0.807751556264257,0.7269986736549472,0.6293384647980143,0.790370614765556,0.6149373242177545,0.7490716144634809,0.7501869432987458,0.8172055118656627,1.0537554143322199,0.8456588805498635,0.9566111998928034,0.6756885545515386,1.132304763406531,0.5863239092241299,0.511692488794428,0.4591900806352155,0.515631912553235,0.40878963911483807,0.49555678411550486,0.7108715404445003,0.494008118800446,0.4481627300610475,0.41121793017063657,0.4424258258165888,0.4553154479107495,0.43249887657822444,0.5265407105488276,0.4885156374426571,0.7273131846153992,0.6196844486097083,0.48842237353037005,0.45469727204331756,0.5679153129312404,0.5939050776924767,0.4157362790233654,0.4148698953511271,0.5729016553478671,0.4445979810055457,0.6888301730834804,0.4791495304326173,0.6680518272494357,0.6804417353415065,0.7357694953364807,0.874006860315182,0.9098092819361204,0.8996101268889662,0.8483701212631352,0.7892528095522288,0.5912570501292919,0.4499240880537497,0.4050662384784596,0.32625895542514977,0.4521956939098362,0.5513298913809465,1.3221584250204292,0.9213974234813521,0.5718274251618414,0.6320215072700018,0.5119254332773997,0.644830185069424,0.33710598146485865,0.3327073235741457,0.42247838850302616,0.6932154371362274,0.6339929097361491,0.7231664791118222,0.7730886850723615,0.827276591571375,0.9293295109913945,0.9037155155635984,0.7998818575878454,0.7593041511358647,0.8503586297691561,0.980012109808154,0.6390018445906065,0.7748655656001028,0.6273370130399011,0.6888114375432114,0.9430524147150634,0.7920300238368295,0.6049860719310505,0.5495929410488628,0.41688379834628786,0.39211622216446584,0.37310528443407104,0.3992694544151398,0.4709715817122805,0.6764833675910223,0.5616684887019259,0.7691271779073983,0.9888841558391391,0.8494626467014548,0.5733191885721265,0.44561341314446645,0.5723735383481964,0.4120704778166141,0.5434254197680873,0.4301108813392582,0.38993959660047117,0.4374207903300139,0.4197507819557636,0.5912691712482231,0.6859477964915788,0.6493273356886629,0.9016454911214288,0.9339422001733336,0.7916907155996956,0.6657245822398998,0.5106999484774183,0.49179915989139034,0.4622781120331868,0.43642770544611653,0.5138101891075253,0.4977020751695036,0.6431556950861275,0.5086065278848195,0.5549488747552748,0.47328971004855813,0.6111565227138306,0.6921888627515616,0.7790309893025456,0.7909109450658286,0.7312341255838843,0.6825672806349127,1.0582491399984948,1.4905259297415507,1.292442941425639,1.7260793062057331,1.4542793805517351,1.4559145268912945,1.362939235613113,1.2110522055382522,1.3628697598455746,1.2059462575885525,1.0729890547003755,1.064416764427213,1.2231097924120427,0.9789206076750085,1.0574401065220138,1.0592888577773603,0.9877283549020311,0.9966897385559924,1.1054343437879517,1.1114456486221442,1.01291150764587,1.1249289428691254,1.2292662770075955,1.1352133064629208,1.2010573021453455,1.3947088599491915,1.2853688372482932,1.3810212100141117,1.3215850719001314,1.251147485507158,1.2021839512922525,1.0883311737842896,1.1114935985283816,1.22174559304404,1.710535238155656,1.3569844047719326,1.2606801263650027,1.090726592825819,1.026872051908847,1.1160354090254756,1.119080607511284,1.2198376459936886,1.065524552070706,1.127867453586814,1.3896136992122914,1.4154749517980314,1.233823145089197,1.3051955183681743,1.644651598146052,1.4037107202042827,1.3811898011063086,1.1002516851446522,1.0331252319442181,0.9942522303308012,1.0285554573485365,1.1363283998426112,1.182536215728838,1.2204650776720658,1.1468504031198872,1.0715883184757367,1.1795933261278917,1.2736340133873596,1.1299646639169008,1.2302193016444911,1.3615788058526197,1.2854558376774505,1.21410165646514,1.3448511119653412,1.5409257297267693,1.2567744118923962,1.2272603366144996,1.1129074889289936,1.057614189139418,1.0507732976968698,0.9557737572830437,1.0626293234025124,1.0121282502693605,0.9772734442329202,1.0604869791045675,1.0796175479659722,1.0328076527698504,1.1856437049097732,1.417188998812786,1.2058499573596688,1.3105871017905073,1.442795382168112,1.628051325754196,1.4892678487610973,1.3472184325017413,1.8275454358972916,1.708450013518628,1.4645719520771394,1.2219984011667113,1.09539551084877,1.1852090974684877,1.1541012961725936,1.1437712828814184,1.3432865146898192,1.1823826240275181,1.0646508345907082,0.9867247774658029,1.0458592431233777,0.8096475034748375,1.0976654088099567,1.0778531043530004,1.0938781841966032,1.8443821363628417,1.3028100952772306,1.2200786953980627,1.3686157999772504,1.0438777457224897,0.6205701421465717,0.8740074111412254,0.8560014057929544,1.8011970825845844,1.080159448766152,1.3074725049977094],[0.9184696046880025,0.6275863782268688,0.8981106423474798,0.4207755057368607,0.7685191850137136,0.49727091569364534,0.4048033303664061,0.5022330106678945,0.432830935842067,0.3106729473734825,0.3281644290130885,0.4670881357968086,0.3411008935274905,0.3252523948978927,0.4138413858630549,0.3509798755922345,0.3929878247227507,0.40877610842723855,0.5785582481838057,0.494628723084009,0.5721709673168197,0.6118829858546808,0.7778649201729303,0.8802148197764327,0.7938214143024083,0.651337678018632,0.5089725472333289,0.45865943114636776,0.40465044138542255,0.33812182082651077,0.382574132444427,0.36205965949795493,0.4319973556964445,0.380455332143594,0.32948755517876155,0.3263872180448452,0.3565713033867405,0.3740536806019884,0.378548995471012,0.43162654018369134,0.5394926307344917,0.5266930379018278,0.465112868864417,0.7832451197909963,1.2423341098338878,1.8986967699011563,2.2466227843625255,1.2303914441785346,2.462873720393247,2.697519096084129,1.272274834377425,1.7611215852423123,0.8659391765578602,0.7711710107825682,0.9167331732501919,0.5603333080503903,0.6671728347206308,0.586630928682003,0.6423879004378638,1.0637164487650954,0.716707683742169,0.622999546258685,0.528629633507246,0.6703759173128976,0.6218684247604646,0.5218778315631021,0.6944898162912789,0.5229110487602758,0.6874923704951931,0.667027065424784,0.7475143917400944,0.9828329123738359,0.7737884642484615,0.905691346427472,0.5867606787993631,1.0288039394304225,0.4761855455415721,0.41483865523026925,0.3750638742359465,0.4265588659142352,0.3566060768390086,0.4658503071348566,0.6750839813562262,0.4892910778569621,0.4265093159009913,0.3830716923138613,0.3753952580685674,0.4440411850291545,0.3515128442075559,0.4722480282367172,0.41632535271498655,0.64727266748761,0.5342517117552414,0.39979658569916493,0.382482050311663,0.4820047451441222,0.5214267965558658,0.42088804711484146,0.4605783240393764,0.6429201379879247,0.4956828843114483,0.7329914560768177,0.5089988540480801,0.7030567224679338,0.6779693929071151,0.7187958372573006,0.8958456191312951,0.854075771866206,0.8593245544830147,0.8438383338499098,0.7755245239874586,0.5689070475530618,0.42528197345580687,0.360902836653755,0.29854200624828525,0.4044108172317612,0.5116265039654473,1.2763214127945897,0.792016540972118,0.4777653438707271,0.5252121760662147,0.44279737592507395,0.5786027963023643,0.29681006408254157,0.2987826105138582,0.37119691199744553,0.6079851695062868,0.5865393654208515,0.6607655205659645,0.7071894823364269,0.7435711685068417,0.8646396627041452,0.8202630179290915,0.7335356538285555,0.6677831320569896,0.735204685292857,0.9115888887950444,0.5478755584545464,0.8548031357057668,0.5742101532607661,0.687980581123957,0.8847382262155625,0.742627181464158,0.5578278654848008,0.49178758110589293,0.35813991147821417,0.345566718515563,0.3399616999661789,0.38601292395807046,0.4701917319990694,0.6795566030550956,0.6105946048630871,0.8273928491890081,1.0089879377474347,0.8502022623983065,0.6382673101474755,0.4983274499766573,0.6118378708657755,0.438646921183322,0.5453645149970071,0.40909435672799893,0.3479694486499374,0.3877533346747039,0.3561809181589366,0.5317451801881334,0.6559918927821349,0.5980631620352513,0.8490755234763223,0.8882034648798337,0.7607035819267267,0.6060499958212724,0.4803506066627678,0.44417532727661363,0.42933498459730846,0.416423670336697,0.5138539352081626,0.5002428227654727,0.6770865293589583,0.4870352661750563,0.552706327924765,0.4467903715281342,0.5718333324940098,0.6377646332777073,0.7262676249172204,0.7450260012140139,0.6945951983016952,0.6301902358482014,1.0188669203413965,1.4523645211494218,1.2682245513800425,1.6165271320876111,1.3650631660351882,1.3473914970362921,1.2656244538256434,1.0989707777624471,1.2359526874917046,1.102331084800622,0.9701549789750433,0.9695563067392233,1.1832138177215805,0.9355526869191527,1.0608313415405504,1.0413126799557872,0.9525899326724636,1.0059169621779245,1.1342983706361345,1.1135527877717546,1.014942627152572,1.1894169500332,1.270151578158465,1.1538557178834838,1.249482271393592,1.4644319403170825,1.3171546284271236,1.3707200322247464,1.2643955653589927,1.2611443203685233,1.0930384299624194,1.0265355544429855,1.0662703831046407,1.1352413387017002,1.5916716501666046,1.2316418552036386,1.2857103284130014,1.0397503053460757,0.9801860468736603,1.0998736286427238,1.0455235103307468,1.1149435160422747,0.980859100346395,1.032166318486922,1.2176310929902987,1.2744381877269984,1.098351857624329,1.157353887244263,1.4676394959914585,1.230806337913135,1.2328431568664218,0.9758002164054712,0.9751848766475428,0.9273781054740441,1.0090219915650107,1.134462219550406,1.2653676156597073,1.2642403964212168,1.1831620170368315,1.1334965096436131,1.2485017159026728,1.324517477759848,1.1990120625479233,1.3286819829254266,1.4546077567785303,1.3715433488338395,1.316824011022952,1.4567764926070204,1.629383874377314,1.3540396783247284,1.335918848734283,1.1937337285808098,1.1336765557470068,1.1126490335364427,0.988491138656361,1.0705992742744928,1.0226197594630666,0.955732365172694,0.9817377706422524,0.9977761691540225,0.9472167413514782,1.0416233086161888,1.2531486054026761,1.079429827395847,1.1775798520878282,1.2681790516669036,1.4811015265916645,1.3339649728561087,1.2403528956280594,1.608441982359179,1.5630863307783482,1.3637009448385917,1.1264711426999905,1.0415475337381481,1.16492384296507,1.098850221928059,1.1233414623861495,1.2770978282971812,1.177944228790845,1.0202300544786183,0.9249118804273957,0.9290160207767385,0.7397045624398524,1.1250607794890117,1.0865915423990407,1.1383010237402593,1.9005517191119845,1.3502548470816864,1.3036044577856774,1.4349226373077895,0.9883485920380363,0.588707895769496,0.901529697335436,0.9590642222483214,1.9520935829822499,1.0966029218222184,1.2524146095476647],[0.7381857915446459,0.5064550058976056,0.7400195461646363,0.40225580195040245,0.7000759526125954,0.4781693549302259,0.39913476593841263,0.481367077257807,0.4953053201356843,0.44115320702499683,0.47000315610488036,0.5215217580002018,0.45546833519511426,0.49771725164869857,0.5887229275079385,0.5033479253858404,0.5293899968060459,0.568945695955386,0.6882146423295449,0.6073002237084998,0.678829816975856,0.6970965480319139,0.8566340123078585,0.9634257368587353,0.820795610319029,0.716633406691896,0.5898004087389531,0.5445301311995215,0.5095717589316021,0.4382329235281493,0.5536507443393903,0.4670304254296057,0.5437102952472739,0.5373551427761464,0.4708486213183124,0.47129010867401894,0.4350445539353177,0.4743992979593709,0.4762806260172197,0.46617715111851654,0.5944674473508167,0.6247956368985261,0.5679365992442151,0.8906948741028629,1.2540061753242542,1.7931070827479116,2.112458543007552,1.2163637505118585,2.4147272555075605,2.5496828990853944,1.214671792945455,1.6948454288404398,0.8888842095452174,0.8432021632620136,0.9387797229019272,0.5829909712935747,0.7219949345507598,0.6726670241416589,0.7301055148556194,1.129668680264969,0.783544796721207,0.7525946532577877,0.6729943222818185,0.8032979907856739,0.7169966868065996,0.6437049080986852,0.8315058370268081,0.6754681778756341,0.812459947025587,0.7864003819492527,0.8513704022460145,1.062175001652186,0.9020470916956816,1.0353013039367152,0.7152904170773661,1.180481005964465,0.6230422960304519,0.5770460552136718,0.5232991028381637,0.5412116195392545,0.44728236562383933,0.511792891926442,0.7329477775915298,0.49115226137149554,0.45328315396642965,0.4497294395842272,0.47766843794300873,0.5053501375204302,0.48806088312075435,0.5968823588548687,0.5833174143503728,0.8345148496752166,0.7179453507848169,0.6043111547015566,0.5694645885108278,0.6661279425091559,0.6553955646061628,0.5345799316426288,0.5144911808968862,0.6298946525100428,0.5178077330267248,0.691581872133595,0.49273145390627515,0.6266976098919897,0.6107259053593523,0.6506886771208804,0.7855405043208546,0.7532256533425727,0.7483238759115511,0.7548935920648272,0.6772526520274416,0.5328902937782058,0.4239710228162151,0.44772665499960446,0.4196892444845403,0.4645024470238953,0.5702382074643364,1.240649430643545,0.8766832735567204,0.6154410551458623,0.6426362839952564,0.5578562421407574,0.6664882989381173,0.43046929245235926,0.42378226321281165,0.44406832007215125,0.5639801948881434,0.5514526058347738,0.5980890421048677,0.6547925884775834,0.6867709989508346,0.7737957955416919,0.7460911542501517,0.6924909805996065,0.6403862525236446,0.7519894168446638,0.8721683651967024,0.5514884487668927,0.8728497752416058,0.6174965941457481,0.7776028932819501,1.026283616654718,0.7917901385707653,0.5918148464648512,0.5515367448023896,0.44880516664294445,0.42407276921108605,0.42666243318444463,0.4159043892892783,0.4744282132821842,0.6359092628214048,0.5630616242688488,0.7428684056443963,1.031471918827475,0.8804633369055254,0.6063344198719883,0.48495192694969835,0.5659442650935773,0.4509187212663686,0.516708284885129,0.4232845496288237,0.4099698540052191,0.426112703298276,0.4131138016669519,0.5561775297315286,0.6514354187996363,0.6061644825702134,0.8611106436618862,0.8770584715686537,0.7701123972057226,0.6003939317000394,0.501063517488727,0.48373589613258366,0.4444113362455914,0.42903450153108386,0.48844517311992525,0.5139314845661771,0.6723697041734308,0.4897656195409747,0.5185457686727215,0.4270758039428498,0.5313881072720472,0.589697144609616,0.6638277434638238,0.6929301310631889,0.6643743244517307,0.6088183641901086,1.025597259358346,1.4286901237983312,1.19710131131205,1.6033483865051552,1.3818000568965436,1.308495734200879,1.2145478739633309,1.0326067835320756,1.1623841815197746,1.0593303855213119,0.8978061688758739,0.8859132805378036,1.1358123341687811,0.839587928039666,0.9913576942460274,0.9596895151809742,0.8433113989280435,0.9087072444691952,1.074611819418734,1.0248565566779293,0.9071456885831257,1.1412192973076098,1.2115097200166887,1.0564658995885512,1.1772102656483112,1.4396710040931497,1.2543667300859267,1.2807628921245902,1.1373963118879493,1.1967214328311975,0.999834734684569,0.915876960716273,0.9644340510882534,1.0179488326921573,1.567713135346457,1.1199376508018328,1.262870344004325,0.919675896027794,0.8481418097974036,0.9880781179061707,0.9018384056380296,0.9477183651123691,0.8387715267954478,0.9186160616514223,1.1019401350142655,1.1702672866287078,0.9950310428374962,1.0777765394623997,1.3836335471049241,1.1679710461191979,1.1924984141078017,0.8802955199812653,0.8792900191681022,0.838679405921928,0.9261916303720839,1.085332604743643,1.215843536246566,1.2650817209097394,1.1365982959519068,1.0985130732582762,1.2757571352348478,1.3266147063156313,1.172831288964893,1.3515061929897019,1.5098075048374902,1.378524591721141,1.318420664161579,1.5052709847387855,1.657280854595372,1.3549702630855225,1.3357041199314048,1.1474735727908443,1.0793534907460574,1.0539161850900527,0.8980483741466898,0.9643465789972681,0.9200125494363359,0.837765212178762,0.8484140970466609,0.8725137563964368,0.8192393960253327,0.9124076507859427,1.1556954177926544,0.9773006636382163,1.0804981481741782,1.1762898420603944,1.4215361991212196,1.274550791866601,1.1789538631666918,1.603680010788821,1.5540346929131266,1.3033036330784213,1.0601937570134619,0.9291365372752779,1.0172515452653108,1.0009963791518837,1.0340562996799387,1.2291539787054717,1.1201460756766983,0.9246774710881138,0.8314132499702469,0.8335130153061796,0.6687258446589661,1.0816943832577814,0.9639508066776381,1.0433199618338675,1.9672990890684305,1.2384502997713265,1.248483350918252,1.4274822195366788,0.9927844053661182,0.8072614566251297,0.8398547504838256,0.9760550146868209,1.8508523084111261,1.0542142213028627,1.3550668026365433],[0.7142947572208614,0.5140271239951355,0.7890533090821212,0.40660288879642714,0.752886292953097,0.46862818525155703,0.4122046711662813,0.5051883283859117,0.43477520150376364,0.3557422587634783,0.36918757068730507,0.49117797022483556,0.38063264032822314,0.3632161097541025,0.4263430144235263,0.38778022502655596,0.4277559576566064,0.43151192684695566,0.5625633187185037,0.4882807902705452,0.5371549047634748,0.5665600121710288,0.7205759587920356,0.8136702059446332,0.7347644374102112,0.5982463738302463,0.4845903659763518,0.4540446450158202,0.4292427296895719,0.3738472114697223,0.41932644724289037,0.41695884309288345,0.46302893986114296,0.420102424546363,0.3790402666558774,0.3560719544134299,0.395853117728418,0.387129823049626,0.37099052837497903,0.4196084706088346,0.5185605443870238,0.4928207370595279,0.42084759406191335,0.7218233885035803,1.1684023574757771,1.838233823186756,2.119305604813531,1.1530081704450714,2.4679702126717977,2.6371318296318527,1.1986317671602853,1.7152878947959327,0.8292179599034616,0.7373755844267699,0.9071562470873038,0.5259624657962636,0.6336138311020035,0.5495656456015383,0.6134150950122076,1.046272634135706,0.6967685262025977,0.6002832301430353,0.5170887868601568,0.6387316397117493,0.5963150482005694,0.5106097080845754,0.6872403084764772,0.5348211207507889,0.70878141547506,0.6776543710712595,0.7803623606756648,1.0052858178763708,0.7833912761583713,0.9014492880031892,0.5981188917339052,1.0020901095883996,0.48343918943039127,0.4249839046322617,0.3932034948386047,0.4350179822843916,0.39226149000637217,0.4762734428714934,0.6870085456385104,0.5041537800803437,0.42912669777799056,0.4013049029572264,0.38801576159000134,0.47699599318048186,0.3727459598404585,0.4867226938165286,0.4474160160511865,0.6478645170196696,0.5377091503831782,0.4230475861729554,0.41300130219050324,0.4873138537067991,0.5349006531307706,0.4467265887589319,0.48148079547815137,0.6486687811487796,0.5161403548559668,0.7394897035992416,0.5246598578602732,0.6964757501632131,0.6699935487601301,0.6996009805269935,0.8705261651853614,0.7955496700582229,0.803718540380245,0.8098843699798983,0.7408215342372194,0.5648568857302819,0.4452647155691612,0.4040539051566677,0.34520199191149514,0.4156485121634704,0.5253267105690834,1.2267980612384484,0.7261674777837165,0.4835828175166515,0.5166626776317954,0.45905699403576694,0.5599722049609429,0.33776141267639226,0.348532250430244,0.4044214324004535,0.5708695780838535,0.5851431028593641,0.6237048519815634,0.6725196882399341,0.7070290722204999,0.8088207893722438,0.7647448354046303,0.7076293828234603,0.641396028546739,0.7046123525316367,0.8941666295648375,0.502510737044254,0.9219210020115867,0.5458585855330585,0.7471145849804987,0.8815428658340768,0.701105572310923,0.527124197540607,0.4689715913181047,0.3730974843642626,0.36725450936037657,0.3839457685925392,0.4211632104871887,0.4890598450932306,0.6807547862972722,0.6090764064418546,0.8173291102102442,0.9936411847460761,0.8382196680732009,0.6403500133408513,0.5154520657495257,0.6150248412595432,0.4609261026447672,0.5484945984508458,0.42028774647333744,0.3606789693987513,0.3929122396198038,0.3621011348977104,0.5094257441127182,0.6519376843987079,0.5693334148954401,0.7963784307490835,0.8373173213951034,0.7434073076170429,0.5723748047843635,0.46950529827763304,0.42873845381555725,0.4247884178254968,0.4213217858504809,0.5146782284087432,0.5107215760233443,0.6918463680203366,0.493812151666072,0.5610988773598351,0.4263667625061128,0.553373405120912,0.6073493215329813,0.6795436570263413,0.7147584226658662,0.6842097169265448,0.6107641907430181,1.0339134862530615,1.4715029396817014,1.262734384580776,1.5634840308547677,1.3463198187538032,1.2801845334915443,1.2058154743472398,1.0186330535139998,1.1223242958412059,1.057924320164145,0.8898666297792236,0.8731272995583641,1.1442168000842545,0.8606271512854633,1.0283892372977084,0.989482624626546,0.8569348748938452,0.9320354269503747,1.0998309402126591,1.0380675235938732,0.9046089238851821,1.145821348274255,1.2125666148080287,1.0327176418878947,1.1414255913465527,1.4165499402989876,1.2241446542053467,1.2066677481781785,1.060494271974664,1.107118120104548,0.8976911049820121,0.8573116369370253,0.9001248819470109,0.9429646718490046,1.528955597070478,1.0447589819300247,1.2656648516896394,0.9063888650533909,0.8564137634552936,1.016053350803258,0.900486487585058,0.9082481754384023,0.817788607969739,0.9071189069698228,1.0158414290213442,1.0950242978829177,0.9468948145060601,1.029671845589417,1.2586041236772143,1.0671096704864191,1.1193522553823223,0.8431733461145754,0.9015186943149287,0.8545352580205373,0.9597248427494847,1.1244363243354942,1.2600077894562052,1.2980980443283476,1.181783882656488,1.1317921475551493,1.2903637075827699,1.3526785973250104,1.200185470363037,1.3523285313938926,1.4938417240686241,1.3788050249020838,1.3074529851793193,1.4682111538635165,1.626701807790795,1.3229776937111049,1.2949226081666239,1.1241807562857031,1.0733162842213353,1.0735379870449404,0.9113322951950096,0.940078498878948,0.9141013216946823,0.8437173236896734,0.8098121289127269,0.8284741414699188,0.7857955997291634,0.8338101802315581,1.0395137472858005,0.8953566038425047,0.9975090422499252,1.0439272266998565,1.298991791397413,1.1563180001971358,1.1083498940104992,1.452645253325378,1.4860050388344375,1.2238080542757765,1.0200404649895785,0.8835370463260357,0.9820988704574348,0.9999336914257556,1.0456285292287493,1.227142427582546,1.1411655184269638,0.921200583002559,0.8370629435199569,0.8188764455104388,0.6916993235487084,1.111577441612266,1.036742569133643,1.0986790596367513,1.9642131105662284,1.3182518680166577,1.2811379023381473,1.437842322210539,0.9817745171297722,0.6381655533437158,0.8411185367850709,0.9324954744149787,1.9234138560796838,1.0896342827973398,1.2626042863032314],[0.8003088302606739,0.4447956060908994,0.6420769154242937,0.41023805286515624,0.7303747419117391,0.46761536112213364,0.41300991438683027,0.4982457784392768,0.4399199284772999,0.37138787193892836,0.3804661333121784,0.49541722319634646,0.4029138144171109,0.36819194541158384,0.42190854594321764,0.4016994025896442,0.42997768125010855,0.41949034214568376,0.5283939965481266,0.47201988442533216,0.494794484174758,0.5306990229888642,0.6651152944254037,0.7453133757640026,0.6872081779715592,0.5412444502200953,0.4572858382650316,0.43634799831402465,0.4261120464376467,0.3832474311352466,0.42277583203074515,0.4343173684129222,0.47283475043389683,0.42871479102113047,0.3913966669615153,0.36343989506387975,0.40778858318127864,0.3989681833780298,0.3756713357981231,0.42837704029609613,0.5081515089868363,0.4609350393583566,0.4092371023866275,0.6774282830631028,1.117244867843897,1.8105422928920443,2.0307941544316694,1.0924244541796924,2.4743759572590043,2.5839118893624686,1.164734386368473,1.6933272560306056,0.8386594452441171,0.7395748602571574,0.9100631008073986,0.5338092967833155,0.6092005308487364,0.5460943395752148,0.6247545185847709,1.0045583118150956,0.6769055298288723,0.5880874940410087,0.5169450473876848,0.615231605026428,0.576697602998199,0.49272940848001107,0.6621488487885395,0.5205818709134032,0.6868156918347984,0.6512199487408186,0.7686145360894983,0.9937385816551059,0.7663331173481766,0.8621107097568521,0.5862200441295199,0.9650299363415649,0.4652232399263498,0.41904507947236797,0.39228884532917446,0.4318479508598214,0.41080007261104257,0.5002402980099262,0.7125136185873151,0.534008526372468,0.45952906560521434,0.4310327377662099,0.40275999181888933,0.4880859034158115,0.3741460798659033,0.4866444815625031,0.4467260888562717,0.646344685822391,0.5362295013085121,0.42222207074963464,0.41782325220862176,0.47721793760003606,0.5353788897327879,0.45608657597957636,0.4903165041207868,0.6419880109117957,0.5246872537541157,0.7270469849353594,0.5264815906370015,0.6772032448859272,0.6614555284355839,0.689425934290805,0.8363545512799966,0.745628520785218,0.7554150194805345,0.7916044453044282,0.7138841903623223,0.5553864079224818,0.45295129200790163,0.43343254915129736,0.380022201634881,0.4223802111862528,0.5242454029927536,1.1873041722447895,0.6529608827025902,0.4648850760570593,0.4839930068404845,0.4456665383482757,0.5331757642145593,0.3592415639435029,0.3730716365476551,0.42757319496516377,0.5529224394854708,0.5804216429234206,0.6035184790228666,0.6558944788731662,0.6923186681360045,0.7715029728668603,0.7179508631615926,0.7013110332118745,0.623543226164333,0.6919607020344497,0.8832663668017218,0.4872810402655045,0.9675812811535094,0.5140994312367954,0.8499039033763488,0.8789781260722546,0.6780633409979663,0.5101008356863831,0.462989611499333,0.38749405056789643,0.3857014324422191,0.4116165989779021,0.4417842334618962,0.5010491069773625,0.6739178491482819,0.5912746782971284,0.7820089784405478,0.9805694875210197,0.8393610301359679,0.6256810363754697,0.51451800852376,0.605330603674984,0.47339756683175505,0.5548531938073268,0.44601090082669964,0.38404672988012056,0.39490985921381605,0.3747510859918714,0.49466158132499993,0.6363740559151789,0.546756569885778,0.753333064366061,0.8007359225314876,0.7422567162925598,0.5662846659642548,0.46835068733019014,0.44471458210197296,0.45625762203347686,0.4470552102857408,0.5249284731957209,0.5254483556477766,0.7018152076422891,0.5133450847688265,0.5812393894450184,0.4454299210152214,0.5629784588093606,0.6066678389404525,0.6626782999824601,0.7067814014696435,0.6774094160081,0.6031396375673029,1.0379594786819795,1.4621750728365235,1.231037121522798,1.492593616422827,1.3192311063723654,1.2046007062537716,1.1320467767920057,0.9369003611556517,1.022384476072221,1.0195300467412316,0.8363936716586614,0.7991226319547056,1.1272098448567966,0.831558600422158,1.0364751916681352,0.97758708541202,0.7977427260662767,0.905137962746699,1.0947410026790516,0.9883599186468172,0.8391992973497518,1.1286489796962018,1.1674498669538829,0.94494784430704,1.0685891088440838,1.3698351868461804,1.1484234382335794,1.098685832252797,0.9162628373414039,1.0488083566579929,0.7600050721332956,0.7501742518467039,0.8065027249946815,0.8178007476597746,1.5894884348468028,0.9659240546798591,1.2921476690824203,0.8559241029379069,0.8188402854496033,1.0051600501121072,0.8618773270799145,0.7893993420888212,0.731288681868564,0.8569352575251057,0.8931997717112385,0.9840196756832785,0.8519134576058888,0.976638616883999,1.0961682632909593,0.9606610825420887,1.0471877970804382,0.7599531684102859,0.8659140377927548,0.8432755347660892,0.9726890287833458,1.1694199722596674,1.297095810399633,1.3654940247392635,1.2169387307135953,1.1669568639863592,1.3558398430298246,1.406604285595341,1.2357107524922133,1.401734469924548,1.5514101830677924,1.407722423646932,1.3269549265479341,1.49586624804824,1.634430278671548,1.3131032571717982,1.2774739131176325,1.0962709358680862,1.0653134938654878,1.0811098157734413,0.8980297334727708,0.8723502093991523,0.8617273602251692,0.7974049199052363,0.7151273673426746,0.7321119570693171,0.6794207654219894,0.697746060950946,0.86688420300225,0.7729439662397615,0.8687137833714786,0.8758534295774195,1.1592833567365113,1.0295588137789935,1.0118596003844458,1.3445491176336564,1.4496711909584705,1.1081432616733784,0.9451246440498045,0.7596029233086871,0.8169492601541366,0.9565645277366479,0.9731350309269414,1.1669722038270498,1.0994399328062943,0.8456106994723948,0.7787067872186657,0.7407000050906777,0.6611313273814033,1.1305744674600358,0.9765839289515221,1.0304657232567789,2.000657077070344,1.2505888966088559,1.1979080222485856,1.3905978266746584,1.0090556713927628,0.7887020409701858,0.8364767747163374,0.8802462477839216,1.8256995468580937,1.0855065436273341,1.2905331059352183],[0.831964241321808,0.636205651580043,0.9245473039838524,0.5473183192537062,0.9077908604854632,0.6359486124495266,0.5845891691944677,0.6705466433583027,0.5676103821922254,0.5024193350639237,0.5090329946602756,0.6090668091328478,0.5565986819420734,0.486390143021289,0.5281611813894027,0.5395368359020227,0.5481338668096715,0.5264764385353252,0.6248430450348357,0.58128981574236,0.5947639802328625,0.6257733786456019,0.7485528972982995,0.8092927235191223,0.7904742194859374,0.637076798759892,0.5813200664761332,0.5577485536839176,0.5610673536621791,0.5514726301253511,0.54969259589261,0.5803892117688436,0.6311086533996034,0.5766833606299109,0.5574844499005653,0.5255536251104309,0.570658583603402,0.55643488170853,0.5354149392208488,0.5806620202335374,0.6072355613087118,0.5868374820492565,0.5563186767368652,0.7578858269156944,1.278077005799852,2.0152256569048532,2.2943265852873345,1.2412866842041963,2.5319665963185045,2.765422933031862,1.3167068078519142,1.8473981536409978,0.9664299390526638,0.833997099835348,1.0217796151176712,0.7103134951513688,0.7270705849049819,0.6519078210057507,0.7119342345159758,1.0772768836624513,0.7846295529110054,0.6956914008006284,0.6056699381553272,0.6588364926210097,0.6549900365608503,0.5824141311789117,0.7245522931509253,0.6018668282379684,0.7307571567143046,0.6989611861285937,0.8171929904420692,1.000772945041207,0.7619863355383708,0.8743679724658393,0.6424853894653733,0.9041292234805158,0.5817912786683892,0.5734227819400386,0.5398717938942379,0.5781855890736112,0.5854264802703786,0.6231223213228396,0.8182409815028913,0.7202181867886935,0.614651488178913,0.5722951920305386,0.5440445607799378,0.6157391072368945,0.5270574622340399,0.6308887740127652,0.5636008993423368,0.7162640986937403,0.6155804233206954,0.5315199415037618,0.5320627600151284,0.5712985162049057,0.6413612672209256,0.5903618327057614,0.6362883283612052,0.7621588947352914,0.690490841421747,0.9098785050605541,0.6991849052022245,0.8696978743963945,0.8252823652927952,0.8554319632746339,0.9931565942062794,0.9519261744360565,0.9520007679814414,0.9225814618713886,0.8891976163705063,0.7337223506862897,0.6182281533237717,0.5629321120145333,0.5175305236493334,0.5376148416978874,0.6278087512190941,1.3714480282090749,0.7329385380678056,0.5490677070739849,0.5783119888797486,0.5402658610890076,0.6224840152330376,0.4688897129085653,0.48531760634016885,0.5598168718776436,0.768646374058246,0.7425531831944331,0.7734707216029335,0.8113563279421837,0.8028726593078056,0.9068436703060759,0.8594468597003705,0.8395863317571018,0.7552348194271487,0.830603871343205,1.0058934469614593,0.6469874014200805,0.9416587300642856,0.615649102206029,0.8764246374265253,0.9331923686956966,0.8131131408416907,0.6773618991747233,0.6127792404757216,0.5267586087739788,0.5317354642570661,0.5605630836769628,0.6005017603378874,0.6721150080714924,0.8507232114443801,0.7389788314833717,0.9365852926100215,1.080485136193514,0.9302573914721235,0.770536936047168,0.6794581489750988,0.790960390855865,0.6634740407122771,0.740279920637865,0.6074792619999383,0.5375875431067485,0.535049990062702,0.5269423560038213,0.5906270714457765,0.7365747782405094,0.6205527560151066,0.7946470442579306,0.8547046336615713,0.7727922176433517,0.626147440839197,0.5668540421854931,0.5498540095574809,0.5918021363985208,0.6164455513290489,0.7088148998441525,0.7042047514457646,0.8642302760654341,0.6804054826049608,0.7316921066148036,0.6050834053131399,0.7119655658853441,0.7338926502623909,0.7848571604302554,0.8027268886483158,0.7719288599129225,0.7033986630084837,1.0857083406983068,1.4647570492416537,1.2925621455222371,1.5382909822136814,1.331639722182494,1.2926117109139967,1.2425630369475584,1.0620055364929184,1.1354925554160216,1.0949943356173053,0.9332697167066271,0.9014228674990339,1.1786377134568269,0.9054473187810583,1.076991507872467,1.0625249115053665,0.8885423921174296,0.9439775286943484,1.119344188907711,1.0526806425441404,0.8751328370059303,1.0763211301769946,1.1708905225416766,0.9555395601960027,1.0164425964769017,1.2755216517540762,1.1336150078778833,1.0874144525910237,0.9695499880678708,0.967347840076536,0.7747484027381326,0.7565457893964996,0.7768935086543846,0.8367790449707977,1.496868681000579,0.9816296689426175,1.2154206957456113,0.8536231655286614,0.8168918658865221,1.0231557819313073,0.9185230247648764,0.8784488972964257,0.8167508693560088,0.9250185426151495,1.01705605587686,1.0758686435259677,0.9491248598907304,1.0530341725744246,1.177694728562689,1.0316437883944722,1.1141607359567665,0.8643352559345573,0.9426962429331951,0.8969630893254493,0.9990678549593044,1.1720636161438773,1.2379085934462504,1.31016010818697,1.2054776946324317,1.1166104657977156,1.2577648457750936,1.3449326309949086,1.1733073464375685,1.2590610156883233,1.3753739246537877,1.2875143529013064,1.1751431987105403,1.2869346623891849,1.4678343833609582,1.1572767368447807,1.106802079601553,0.9874091425735899,0.9738420761693399,1.0213675815501426,0.8592299012503101,0.8469466331007208,0.8598293424764617,0.8262862444843778,0.7504535789155444,0.7575766299687726,0.7611711327894095,0.7863114170277117,0.9255983331254874,0.827792178975399,0.9364245828077765,0.9396100552620001,1.174246885862104,1.0523071681046,1.0317127097375725,1.3676393004079208,1.477994384265203,1.0584531337489698,0.9297885221257783,0.7801083352662991,0.9008716820839479,0.935518266141152,0.9717228936443157,1.167129034634021,1.1167040002548807,0.904002969846926,0.8934690643763367,0.9124930316046921,0.8206283513692803,1.1606967393484797,1.1504034080860166,1.1404077032433357,1.852005387054903,1.3994894135727478,1.2067895567338316,1.3401374608390888,1.0889348698524817,0.7143982152846321,1.0838644944449478,0.9289879221641738,1.8885903144345175,1.2713585767918654,1.574586587450575],[0.9005854202527502,0.5220877820127265,0.5629193864131541,0.2660992758664759,0.6132152083106642,0.38464582513017914,0.4009198330136689,0.5296738360654429,0.41195799881693496,0.4209719999723259,0.4219375872578448,0.5220591874014979,0.45226620168262627,0.44721684017969165,0.47490521119745027,0.4702731582027622,0.49973029315457074,0.5015722449165414,0.6348680150773561,0.5587771980892569,0.5669288501477127,0.5839574763055702,0.6845458868016551,0.7650546815038145,0.7340236472156723,0.6017526569202063,0.5344366921012468,0.5358134116606696,0.5237564278264464,0.4673517428531226,0.4750636763872467,0.5059547232769288,0.5477448682238917,0.501231237820333,0.4898256692766203,0.4674919431818106,0.49446140891447316,0.46472281060794635,0.4699351362616916,0.5120013100088743,0.6245778743703153,0.5383427300679029,0.46394509115563015,0.7289991358486404,1.1619478911293788,1.9705943135932105,2.1037380236206644,1.1943864062429443,2.646519641018463,2.7689398222414088,1.2618407370377818,1.8195929176660253,0.7915544985736118,0.6201158158981706,0.8869658548441786,0.5964661941062295,0.7219026073296061,0.636983672273432,0.7177070050221851,1.066744043452393,0.7761610525308905,0.6723117013975849,0.5823310674534601,0.6215802950196978,0.6195793260702402,0.5567571430103992,0.7212833525098238,0.5862598654749471,0.7283539906484978,0.6983972993818031,0.8329587191749498,1.0630614018118671,0.7909074967411506,0.8459783642508762,0.6176777087686716,0.8901409156488028,0.546741097490336,0.49658516861062546,0.49591595719315656,0.5507994083679966,0.5222223698113752,0.5453179661847259,0.7284279274322801,0.6090935524670708,0.5263103026517432,0.5140804837254337,0.48335119654617087,0.5590872993177398,0.4842185770156735,0.5698754735838122,0.507226103247534,0.6278943078389319,0.5442678283887754,0.4455219565287894,0.44500827429253853,0.4829651963053934,0.559112492750103,0.4956932293256968,0.5371451512389286,0.7163996934342249,0.601448064208261,0.7937351325430205,0.591626305565006,0.7229187747434965,0.6971573887920045,0.6959270751321015,0.9005799722225493,0.7322804786534568,0.7497227999004488,0.8133117574460553,0.7405820445925342,0.600486172296882,0.4714931505335394,0.47319322468479563,0.47710921068821827,0.5503350902428694,0.6508243626541151,1.3086190384886582,0.6981383803316933,0.5146994424841034,0.5605643018109618,0.5381749751033796,0.6633315855860649,0.5030681302749832,0.4523612004946782,0.4956978772426277,0.5347680981183944,0.5708439046266197,0.5609519724808483,0.6198567852836497,0.6780995795007904,0.7723691302686105,0.6885716771456941,0.6527672359353457,0.5725035291854635,0.5442538555229142,0.7604699728288771,0.4855523844436475,1.2034991298540678,0.6397248657656812,0.8638256603922708,0.8646201315000565,0.8207430826068881,0.6517638625531372,0.5521611138182944,0.48594644590715097,0.496474104267585,0.45721021733076356,0.4805712266128193,0.5204356444334758,0.6877771713838559,0.6383362175425666,0.8405465703461774,1.0025154019485976,0.8308663983393727,0.6824764252154788,0.5725826356613506,0.659742833708897,0.5320598807289142,0.5840476890031575,0.4944351357242903,0.46785134880008694,0.5606278525324336,0.49890900172593533,0.6191121657807679,0.8128306745266792,0.6266492226197974,0.8078745342739406,0.8598315190562873,0.8155509435851709,0.6138069060339009,0.630841276828294,0.5112005221310213,0.5073049807240115,0.5119562539341502,0.5853456889561165,0.5777809474924316,0.7710262677449059,0.5720421988893233,0.627119826414994,0.5174545389856012,0.5856573072572326,0.6265226900819403,0.6784909838134993,0.7246840616216078,0.7256734914156668,0.6532530712992235,1.0816568129397637,1.4749460809020067,1.275260564492421,1.4332883360482371,1.2855698725436508,1.1401368976462534,1.0763378457894035,0.8790600693952864,0.9423906013259741,1.0014343443811315,0.8221269477060704,0.7699318924461134,1.1321608156358338,0.8815266790677766,1.0847212286910415,0.9992240586486597,0.8271331777852837,0.9773984771883123,1.1508234354589655,1.0255531465651486,0.8844400003648395,1.1923284363219022,1.1956682925647468,0.9397646062727575,1.0699042195538102,1.3563452072383755,1.1096689409669733,1.0120938010355531,0.833797402350058,1.0547988202343768,0.6834939328901405,0.7414344714751611,0.8193343082249637,0.7937805259565602,1.6945027776789645,1.0061552242485257,1.4101819675469232,0.9580535229603274,0.9370460873853943,1.1171056545626974,0.9694133135845469,0.8427468719802437,0.7916442786817832,0.9182471095530182,0.8384643220309808,0.9294945889941214,0.8201086440741784,0.9712452322512746,0.9662667004684855,0.8688360117828274,0.9779766818154078,0.7305187022253814,0.9246723421731124,0.9168059253867115,1.0643364492360694,1.2382931444005,1.4076645703077353,1.4179897792191252,1.2875925002219615,1.2500021384676634,1.4135885418838463,1.4516629615590266,1.3098918922909062,1.4566974414510536,1.579048569393416,1.457744975262308,1.3821441622210773,1.5128004870306022,1.642336433259225,1.3342952901189367,1.3026760758777811,1.1476367185905794,1.1458365387247718,1.1727886085214632,1.008385063830227,0.9351558319167512,0.9231971049883548,0.8843262434443829,0.762839277505767,0.7467502668153838,0.6759451270352999,0.6614075375601973,0.7504307318419069,0.6896851587129378,0.7621866419690368,0.7294679102667357,1.008866402800232,0.8774174971342908,0.9120247701811969,1.1223700027530261,1.3364838614856407,0.9926411355080409,0.9034840729605907,0.7039117446205579,0.7396965482164741,1.033803597330433,0.9740423506021464,1.0880620641255554,1.101542994419824,0.8572947442204361,0.710959526813118,0.6302966218057179,0.5874450675930104,1.176645219962321,0.969233637951039,1.0432697481950184,1.9029268265466752,1.256174830964915,1.212719794203039,1.358608842574774,0.896957692205276,0.5440834321646814,0.9306840061443359,0.8790065209504255,1.9739684284737644,1.2408271048403945,1.4943321909485396],[1.4963300781874473,0.8774333318654298,0.5799054463671937,0.26072686314769833,0.428508781008935,0.43891483565235206,0.521828070541997,0.6102232652241876,0.5301702195313092,0.5892781468209952,0.5714845281367574,0.6275558250397703,0.5846934585335213,0.6228147238797316,0.6504753306136946,0.6176064440935202,0.6343812975248975,0.6403740848001934,0.7518021251422964,0.6796919407137566,0.6814227409078923,0.6777556972005222,0.7526156129322696,0.8295413786690862,0.8081456922177415,0.6937712060397921,0.6426987896853747,0.6485987256139024,0.6535009681051013,0.6044406334702079,0.619112061161396,0.6307348110939073,0.6705047248906734,0.6372397607054321,0.6168836333255406,0.6054191514195318,0.615580668577814,0.5786043576680101,0.5807970111419514,0.5939094839684125,0.7475419052505484,0.6356516715524825,0.5532782915308739,0.7713353721535015,1.1689814938529077,2.035148418055213,2.073233580193781,1.2590279720931115,2.764716789664911,2.8250439277745896,1.2945524149750123,1.879144989675127,0.7957425628247233,0.63449249222474,0.919582951659704,0.6666076437827247,0.7980018775601925,0.7010822099462005,0.7749285557974366,1.109580829816685,0.8455317781780286,0.7656979217610203,0.7033033822397649,0.7257457860561771,0.7085666005716657,0.6667784932554282,0.8334076831739083,0.7169236698870098,0.8439974436843322,0.8233235809357762,0.9519390427590806,1.1704309788342588,0.9027859565491875,0.9308167270608292,0.7431674318967093,0.9439565534751367,0.6735095679590617,0.6263059806235257,0.6229986037915695,0.6674788401299439,0.6385508821364972,0.6301803083066221,0.7582240705908552,0.6802354552365293,0.6104379326047596,0.6200184253001209,0.5986057927037871,0.6727815236007522,0.6108723017417671,0.6955046225730962,0.6465225660012941,0.7247118983492341,0.6661900739652121,0.5986260947095485,0.5923243554918769,0.6336383257705311,0.6900394201219767,0.6267942195844333,0.6468902292375037,0.7892539278842367,0.684681924191029,0.8322326408219932,0.6613726308626755,0.739298402729907,0.6962180464109063,0.6640264895474997,0.8940456011185458,0.6624698453044445,0.6693235841618835,0.7748625805752506,0.6898782067866872,0.6306091977600145,0.5531070082283049,0.5854310496199494,0.6205093291588389,0.6888648932856238,0.7540184014109468,1.3474356006467,0.7566943352781644,0.630349251952518,0.6936295748471182,0.6804535695983822,0.7673445159428797,0.6624414816155845,0.6241911381233874,0.6190488405689055,0.5786728093459791,0.5793730939605763,0.516681871095814,0.5768514719047013,0.6656803252476038,0.7408243090852811,0.6325550954016315,0.6254514998463182,0.5332457621564785,0.48409674590636376,0.6480266225459426,0.5779151862437992,1.3470193267296702,0.7059774625982832,0.9179264129794736,0.8672039206049234,0.9061449575211883,0.7496342664381909,0.645097785252555,0.6157600554440209,0.6320732571996547,0.5660115433833043,0.5658820377212257,0.6047412274574986,0.681800520835542,0.6969418129598358,0.8667367052386894,1.0326978769544604,0.8620363104616472,0.742412223593043,0.6504062284627184,0.696898621743025,0.6120690297687795,0.6139692023401173,0.5732156623261437,0.5714534500497648,0.6782318908335203,0.6100680641608761,0.7214094196333519,0.9047863445532925,0.6921924589585831,0.8427703106249012,0.8929138934338392,0.8767370303054361,0.6722153629802137,0.7552951229217304,0.5853973850018591,0.5710365739751061,0.5761869103196086,0.6309547972586271,0.6541559598206427,0.8102388570794258,0.62984887673581,0.6741055776962408,0.5817737005882738,0.5920479896194007,0.6023861797746966,0.6431998394688244,0.7069288395174786,0.7342683215462764,0.6890146972567842,1.0691876249015393,1.433127639608878,1.2591410718019376,1.3295336823956976,1.2274770483815671,1.0404225407142436,0.9828899962688592,0.7923001485431651,0.8498990478599127,0.9723515772060761,0.820339640862405,0.7442349151118205,1.1064316766369924,0.9468550305466775,1.1496358847888855,0.9955826215269645,0.8659523364386582,1.092944090413527,1.229237130421586,1.0228730279935248,0.987898627257554,1.33971602471789,1.2434347009424294,1.0065787903066794,1.175937616169187,1.4171166745516104,1.1220198451285017,1.0362906478250238,0.8916054916127194,1.2010423585370462,0.7461666461450753,0.8695018906797795,0.9820323135322239,0.9296672309185202,1.9492192567131017,1.2310082630875525,1.6390168988751874,1.196624203090863,1.173712801265176,1.2837410578052877,1.1486794814920347,1.0062910734790234,0.9149127989607857,1.0314166796807878,0.8764020312527627,0.9546462367345544,0.8447268494688894,1.0346177747825898,0.8552475668161164,0.8061707283209378,0.8958563400400812,0.7371392807582481,0.9936336025251513,1.0349827438502102,1.1979583394947906,1.3620969016702202,1.5706061230282151,1.5532468033181617,1.4115849490816736,1.4240399461117343,1.579144056898232,1.5731498054009054,1.4712193739009303,1.6474107611659923,1.7542477017138502,1.619948019547864,1.569823796353383,1.6898918655956694,1.7716311712661699,1.4964956718080802,1.481199780374929,1.335744414876141,1.3547923295662843,1.3695346796381493,1.2390896673044305,1.1399315224670223,1.087011793715205,1.0615459509573277,0.9434213122414163,0.89582876243017,0.7779312283580179,0.7835814321235569,0.7858492209107173,0.7125583878399124,0.7309299910236412,0.7185516661803111,0.9239183963416274,0.8021994002539905,0.86265246276544,1.0138096390952949,1.2799666872598223,0.9983446339469642,0.9541062032443263,0.7439603719855715,0.7817081239064285,1.1448607412919822,0.9931742071870098,1.04490720070626,1.06254175419998,0.8643066533374199,0.6014780545662463,0.5162499382777149,0.4808787233807988,1.1763733506237783,0.9120128025667514,1.083307005543869,1.9489678718027403,1.1936680562825324,1.28920075914155,1.4274513480400626,0.7833066309101767,0.5689068285395703,0.9742913812435245,0.9513862340630217,2.120600027156553,1.425627878320512,1.7356189876926433],[2.037338816534499,0.9829997640877731,0.5599735015182229,0.23530725188334836,0.4755736901679869,0.38249033792056525,0.441135856419135,0.6214686995589893,0.5292530058577127,0.5065053971113832,0.5432486295452835,0.6690897589847337,0.5628544201059498,0.4953119473424533,0.6032083700032513,0.603880706865263,0.5579118367441067,0.5310295848349231,0.5575800035586236,0.5520914541616642,0.5163526190394263,0.5360668439980301,0.5966317868411112,0.6719375004723507,0.634446153569846,0.49839933313955526,0.47284419896454993,0.47510196161541257,0.5294257391033994,0.5602497178360919,0.6268898207335317,0.6662810164882044,0.7395269949138902,0.6768984419000308,0.6196423233871208,0.5704364657400068,0.5979131554563909,0.5080953996049176,0.46462793026809,0.5122602551521492,0.5830971852559724,0.5158289699643479,0.5129529336428149,0.6485554582326226,1.0474932619437811,1.8026510154511348,1.835910655668624,1.023647186158834,2.548940278884873,2.541836782318523,1.1385393956963246,1.6924611679787034,0.8818567198806256,0.6722173582434245,0.9738491176471096,0.6296115066890773,0.65983693543939,0.6445601970433692,0.7396690805889885,0.992892568908497,0.7266530124932398,0.6863536926904654,0.6523097215471293,0.7078097161154945,0.5998775762202765,0.560716606520721,0.7262830357742626,0.6353427531040885,0.7424692325751937,0.7044136364979101,0.8361596984665961,1.1021033055716891,0.8356476620269045,0.8768325946527311,0.6979082374099936,0.9879884991845375,0.6149297769173838,0.6238630498066812,0.6104321140024226,0.6178315166096043,0.6336073923140797,0.6215284422761488,0.8010375805417059,0.7053678581799765,0.5789678749039613,0.5869796713331361,0.5409651018875621,0.6614611113624203,0.5644344269195742,0.6891591009516825,0.6582908738855735,0.7922398393339288,0.703785658641467,0.6514608633346262,0.6388873814898415,0.6819355419833608,0.7397158988233388,0.6995425137871972,0.7359412878887707,0.8944354107047696,0.763422968915406,0.914798123880207,0.7218690209092589,0.8021881586832368,0.7473829115457574,0.7097349618265424,0.9620602566840047,0.6747781329007051,0.6715474625077271,0.8374354682673162,0.6829905675184429,0.5809310088478764,0.5041058519199708,0.47504987807386906,0.4913947482416675,0.45904264223970304,0.5548901759555043,1.0907844759938197,0.5044679178080198,0.5045044793320972,0.4697011793331262,0.4598205559947267,0.5003739107167261,0.4143532798462955,0.4197415084510921,0.4310831824502697,0.4918913021583057,0.5128119137251306,0.48151787608419055,0.5708736381668312,0.6645584030897539,0.7561423235957319,0.6090540919323082,0.6385668833577451,0.4878421728354856,0.4569237358408606,0.658544707734695,0.4402902915120925,1.1408919319163284,0.4873726307057844,1.0096874181785969,0.8404038933991496,0.6650978762022175,0.5160222909952892,0.48279615242962226,0.4709329695566828,0.46206632473949033,0.5163347852016634,0.5484002387917039,0.6206654616986806,0.7461065151179985,0.7670012221768384,0.9646797422160661,1.0931056371028331,0.95812302105702,0.8422296855515659,0.7398472912479162,0.7726949899775911,0.6539993446776236,0.6425007901839563,0.5271382443105284,0.4991963808451306,0.4743207637348787,0.46246540878654974,0.5127596076318832,0.6776144679676199,0.5149519878232959,0.6673415875075632,0.7400571092547427,0.7264837094126406,0.5312958172648178,0.5426030239545765,0.45505281489152055,0.5034303901504166,0.5458386336021652,0.659207352200842,0.6622806059070601,0.8689797383923605,0.6388737288716158,0.714555198146313,0.5323993226075,0.5976651519326563,0.5950595114837218,0.6148990653896389,0.6618048688968595,0.6801130518405778,0.5991203209552016,1.0295444539743315,1.4153421960463843,1.2060518732913936,1.2979834382204316,1.2038481371047183,1.0051694917038145,0.9511918492695904,0.7607497069262732,0.8341028419618658,0.9593353629117791,0.8151048542586888,0.7376131230588836,1.1328426672698164,0.9865014569461296,1.192812516619804,1.019599840717128,0.903933576424348,1.1607807550905138,1.278415215216531,1.081395122287392,1.0877585100977734,1.4624345324974766,1.329931404506103,1.1614194523516326,1.3670533635299367,1.6034796078465026,1.3126759595762636,1.2841853672042172,1.1070551104507844,1.412544595327049,0.9388528897664322,1.0224127753002308,1.1737531196386413,1.0735505423060385,2.007456068698569,1.3594910353301282,1.807233043889892,1.3296798504911125,1.3112618845896613,1.3803218487194338,1.243570582230717,1.114136824595991,0.9864246503006154,1.0692837014215872,0.9184379235854955,0.9897807517476089,0.8519425673571593,1.0190184152749717,0.894344072801316,0.8699878509527923,0.8982317794203281,0.7446301151104838,1.0152362259861063,1.078892823920311,1.2530381680461915,1.4214428239181636,1.6672133309815973,1.6476064508966646,1.4733067254177572,1.537465758831878,1.7085374450332782,1.65909663510253,1.5712623271092974,1.7981408525339815,1.9162762760287417,1.7480799802559068,1.747967585763034,1.91812412666368,1.9648194757320097,1.7240450070493643,1.7246769054005602,1.5472098184078364,1.5387242317095957,1.5073413541654652,1.3845793406192863,1.305835671980032,1.214871822908271,1.1669640341784928,1.0704189002035296,1.0270930328851504,0.8739837044778099,0.8920402020275652,0.9153558659809281,0.8215697567616848,0.8226422634715346,0.8140524973092773,1.0878868922420506,0.91888539982719,0.9805596905199139,1.1217739565117448,1.3579592338343955,1.1497984599878253,1.051543830901437,0.8949061261114698,0.910864817929279,1.1697566018981678,1.0379317658560387,1.0997727575585914,1.0908517060426117,0.9071837813441956,0.6126314470101354,0.5087075509785721,0.4856689525141171,1.2071555008203858,0.8198389945918807,0.9587673230612815,2.0291196573071284,1.0568472486054277,1.1193896581564422,1.3372171080744617,0.8249628229190775,1.0746649657439786,0.8742255047806899,1.0888914698256797,2.148378516444035,1.2945641436664794,1.3930187791089375],[2.2388217600254716,1.1301630667156395,0.9518680103723081,0.4555027357431732,0.5808553727572765,0.7437508409223111,0.8988752738946092,1.160120886160785,1.1469708771078722,1.1155148247537023,1.1955781444937585,1.3512861396622589,1.200043580639903,1.1165820504747617,1.2780426970425693,1.2881316167696157,1.1774970327202468,1.1659169037873958,1.1140864570449145,1.1324391547192343,1.09807873934528,1.1086486161390536,1.1049469930401032,1.074083206071727,1.0795798285202443,0.9840648963605763,0.9995903752113463,1.0035966517387618,1.1180941331688088,1.1964550277597825,1.3340032330256109,1.3631208522760896,1.473762865639402,1.4056026905741261,1.3183931320247144,1.2434157549919846,1.2213690386536242,1.0922370911333796,1.0107763147774218,1.0349049619423405,1.0540822280772064,1.0335147248667294,1.0610646687097947,1.0374404948690132,1.2142234439444324,1.9484106874459841,1.8710774342268428,1.343475748573746,2.75609753365031,2.7201567793294372,1.4070695156830981,1.9025804987381894,1.2275614160849888,1.0738709933534383,1.3343997836099268,1.1339161831276867,1.1598357339136431,1.1857528674415512,1.2311665948468888,1.3972640827352245,1.2289348365879171,1.267283964909962,1.2776491915696506,1.3186928831227769,1.1997504077943382,1.1785864197051776,1.2942172346010472,1.2597726162261622,1.2870034324107886,1.307303753985459,1.3556246312803315,1.56943152432272,1.3953840670995028,1.3692035783600365,1.369102634008434,1.5312813351621428,1.2810431836333616,1.3444566839206176,1.2827413806151586,1.2552592054847895,1.2492945653015815,1.1764846753679365,1.2599171247563248,1.2080548771759216,1.0756763642048761,1.129759552575987,1.1325594708358722,1.2702409967328907,1.2225444442157738,1.3442928048727223,1.3701176192798412,1.4908484318369948,1.4328475293111833,1.4185865731750786,1.380662647964494,1.4240980044470521,1.4254130486978742,1.4478508891292359,1.4664155372050254,1.602772802734678,1.4385796959770605,1.4499972108703048,1.2879539579798422,1.2551640182439523,1.1265257810936853,1.036692241412171,1.2352899425255481,0.8698251665782294,0.8113079021029446,1.011299629097774,0.8633649757751679,0.9362928820426204,0.9777902113910227,0.9501784994130327,1.0197820904967667,0.9229819229544408,0.99870565300408,1.1717017113355288,0.9227351756004529,1.0260429522105048,0.9948907387569135,0.99062130372078,0.8635417957247962,0.8591894862802939,0.8670476990000563,0.8276654519935778,0.8520981441342232,0.8094931833418961,0.7411264073997683,0.8213176844804381,0.8844095322360667,0.9681362406137667,0.839356039614602,0.8624058430150033,0.746665139731808,0.7513054768928399,0.7942703380303456,0.7395265486385418,1.2959448804875289,0.8387414220029397,1.248954281591171,1.0517701501065273,0.9809257005551197,0.9153440507086448,0.9515797037935145,1.005657470418927,0.973290066790801,1.0496012686952865,1.0593740622223595,1.1428745630631953,1.1874346696927929,1.353215169532806,1.4445880203042631,1.5330213765691125,1.5616066284528594,1.4615239964260895,1.3788073796646925,1.306139495537575,1.2465736802853071,1.0707300708330434,0.9697392596814877,1.0154677654419642,0.9098991664338569,0.9449286829835543,0.8717019618535502,0.9510592099751244,0.79178652698731,0.8511323188271335,0.902160467950804,0.9014151488458186,0.7778079810580502,0.8474324470886285,0.8236062959317554,0.9211392615031386,1.010136734653581,1.1269183279191395,1.191591411518616,1.3053365642946901,1.1260241794355423,1.1586762924377565,0.9669515956739411,0.9667506775433679,0.9041611584561933,0.8955536336964998,0.9570807122197065,1.004611330977594,0.9633933646112627,1.2387631060207456,1.4980337347085209,1.366694250156387,1.3070585071074161,1.2825848715815402,1.0741959317290997,1.0350797827723126,0.9002227385105076,0.9767506148092234,1.1389359714605194,1.0566695502035903,0.9974697769638383,1.2119783583556754,1.254442665046205,1.329193267580373,1.1100375393567994,1.1933766970891884,1.4676092901977944,1.4231413014920422,1.293316233743948,1.512640443980929,1.7815842998484879,1.579073419301484,1.6616385069375184,1.8913566056116218,1.9614843580719044,1.7752795117793538,1.9428763982153558,1.8175742242551578,2.1019082642113247,1.6203855286234563,1.6783614267583589,1.8253914127762014,1.707939736480873,2.5579209906988414,2.0220687261011765,2.3655395804309807,1.8671655032608243,1.798712943772854,1.7303486802283137,1.6660809973130233,1.5973972653872213,1.4332705258431346,1.480848410883323,1.382342422753154,1.4442565096601454,1.2686305270383678,1.3801750018596195,1.2901052749701913,1.285536834536907,1.12859967878832,1.1238948699496585,1.2769180071518913,1.3681119197464016,1.5453962915061734,1.6209838273528019,1.8976437299056217,1.7854620532495575,1.6392711880020228,1.7806586216946318,1.8583493515653353,1.7615770069470824,1.7633868478632715,1.999653113182753,2.060565766220774,1.9372778879557495,2.0448310678849055,2.1692670985909976,2.1660498652384805,2.1063492338960965,2.1380860688276013,2.0124137012776715,1.9700899051156833,1.8602934167179765,1.8271897654859193,1.8315269544786983,1.6759375609799891,1.6131172428125469,1.6498736559887313,1.6246450257397282,1.3878156951535077,1.4798178353158697,1.5631882904501526,1.4171333749681068,1.3327785786899162,1.4154783681360341,1.6345551800747598,1.4551921469928009,1.4856696093741508,1.572373583746735,1.740606670194112,1.733990014770467,1.6075853741539037,1.4583607956676186,1.4334137054177751,1.6176732509656746,1.4290886223924013,1.4549734633725524,1.3853072551084977,1.2473726949666748,0.8033733863689994,0.7760735934097636,0.6510662511461569,1.1482535473595996,0.9129561331378971,1.122602323498874,2.066069719121704,1.1037266374058508,1.2438729029265188,1.4476943801939712,1.0276590543138573,0.9124159612703535,0.6384670611181438,1.43507269494795,2.491820694566996,1.92918803253953,2.0215144341891187],[2.4756945861160897,1.3430297595538263,1.1143113058709693,0.564522786540297,0.7393525050551157,0.8221189635420975,0.8121006321861639,0.9588785460292282,0.7690038739479309,0.7265529952114138,0.7134042152091808,0.8943149621852226,0.8237235826152037,0.6683555591350294,0.8200869398782279,0.854333677363015,0.8114405802653506,0.799773950683344,0.775134152323495,0.8347701712736815,0.7902518743607776,0.861416406308628,0.851309209507914,0.8717621023760523,0.9020598877874678,0.7599177152904473,0.8057041269804364,0.7774141432616533,0.8363033938572738,0.9039943554985176,0.9092314780377567,1.0129761379402342,1.0954801682329467,1.0406666778533769,1.002743061271143,0.9330996433658011,0.9914742166934039,0.9038604562993289,0.8925403622089868,0.9943339782275599,0.9984189824809387,0.8738000011444652,0.9003345132658462,0.9829994835863903,1.1728496798348884,1.9469961083659821,1.8438092119003333,1.3001013711507123,2.8002498435685044,2.7370386691317874,1.4102109015717441,1.9022851901103668,1.1906380604824633,1.019962368153211,1.2057239260904955,1.0226441350657882,1.056503519789021,0.9995339946198062,1.093684928249371,1.209044244616962,1.025637704989194,1.0123596735835738,0.9790385443304119,1.0110766988497035,0.9016197478292086,0.8886018750060797,0.956180261152965,0.876647461729796,0.9085209126109527,0.8666496584428015,1.0154781885401187,1.2837824069957469,0.9735197538037026,0.9654977803658205,0.8716383638392055,1.1666974065884996,0.9274903792748831,0.9998021317352067,0.9889349131670351,1.018414252676753,1.0809574859912534,1.0673281687935214,1.1695279782987893,1.215773436439185,1.0630757622529625,1.0303306919012651,0.9519624844643266,1.0990485723853123,0.9463011832738958,1.0153005335015914,0.9727105231508332,1.0640137455853573,0.9680129148417781,0.9775424324340064,0.9288092000609823,0.9430141428181839,1.0173361219845583,1.0213229187957693,1.0558769660972265,1.2524123532878533,1.1402997109067368,1.3256070225536514,1.1769114042722295,1.2747552356032603,1.2641830841673758,1.2014137317570297,1.5215651382159496,1.2370279696198685,1.166265016405751,1.287915721671707,1.1283339766887903,1.048433887470907,0.9523270388231692,0.8873312270064154,0.801443086140126,0.7603930337020839,0.7952355870485064,1.1467535710602996,0.6900829676715662,0.7452205755041046,0.6607400002918489,0.645881837893844,0.6665180118150702,0.6671211915594222,0.717288736370257,0.8442875063927434,0.9814759764831951,0.9525255325101115,1.005902594373011,1.119769612124659,1.2299899801275778,1.337729484013685,1.1918142484661376,1.1819369814958063,1.0471130703962668,0.935667100507765,0.9277084933276892,0.9068144848816765,1.488163023329667,0.8783597226509275,1.1210618001617967,0.9594918156788393,0.906335759608087,0.8215985919682701,0.8206408885603217,0.8473152859196715,0.8391454742598432,0.8848233280340487,0.958846607457465,0.9417884220927382,1.1070606943402732,1.0798723270883688,1.3439486969868113,1.3948214989545462,1.2444180991659528,1.187490784713743,1.0774341808953918,1.1594486854631794,1.0301661325877227,1.0526506113091114,0.9897869236007244,0.9419614581611996,0.9338157357490092,0.950440189631857,0.950913666174698,1.064722225446811,0.9631590592555935,1.0063759683365772,1.102397104985315,1.0771104200219226,0.9787865030463245,1.0240423309008428,0.9380964131730389,1.0092077127558257,1.0264859762766576,1.1442457546432032,1.075842811708978,1.27997467804392,1.128810557065674,1.2347847968795596,1.0709504611228997,1.1228925765031177,1.145837445291058,1.1516876473530213,1.1643825736987412,1.1159469378077809,1.0257549414631173,1.34251821977282,1.6173981114800449,1.4779245579493019,1.4708134932026373,1.4974310827901682,1.3530050288252258,1.3325009890349278,1.238922182650874,1.308745224641298,1.4374391914187632,1.3874246971520523,1.298768595100848,1.5178074752504598,1.552183300662731,1.6147862224451113,1.4092194715905677,1.4321775691672043,1.6917984117151246,1.6388414984439805,1.470475453723891,1.6393389826210245,1.945597813701353,1.6538775419296339,1.6509883203521944,1.8998059065162913,1.9546708613497448,1.6893658559129838,1.8607614059536053,1.7499229296054868,1.9983836670674806,1.6102595559930832,1.7042066913690206,1.8709346106393718,1.7774568579402024,2.663476341825592,2.1447566756097927,2.568981903477215,2.099505811704832,2.0501354224699626,1.978490256636408,1.9306502024338987,1.8522173754169646,1.7044582075662333,1.7880236923318964,1.6751412328302988,1.6994157781968073,1.5631162073523333,1.617939207328649,1.5528281587567723,1.51426478821077,1.3636952561158768,1.4051637146984082,1.618632457070126,1.6727912030039862,1.8335836009001345,1.912805307571218,2.241578135234747,2.0846923103252832,1.9088122625857065,2.069352547533739,2.1526812202237675,2.0391961917988914,2.0050128118047543,2.259989929382827,2.2959202329291046,2.142818660216501,2.272251327271875,2.419275759124518,2.3525875665193934,2.284147333192841,2.3546329461725084,2.175693507029076,2.18502282334504,2.0942997305925237,2.065653455154624,2.0225658208162836,1.8422180430433928,1.8353172329600278,1.8158558281542798,1.751835570592734,1.5868120049076897,1.669391085422353,1.6852420871863458,1.5331233677159128,1.4840963193370675,1.5927004267307545,1.727300741278773,1.5418016941640071,1.5624844086406011,1.6000924284034814,1.7298283531330594,1.7107887301574036,1.619108262359101,1.49676613733262,1.4647221176792553,1.6629649622236382,1.5029414578226405,1.5311941419103616,1.5101803286357156,1.4365860852033985,1.07964683411786,1.1152595273027137,0.9527307621543375,1.3915060973159907,1.1619533600119725,1.3729448065373855,2.042586786324737,1.2033782524987768,1.3451229083368306,1.5431910914545892,1.0839572457308824,1.0829802743506398,1.2098903789468247,1.9710517784450985,2.3616852401678634,1.8328309102037725,2.082631147470399],[2.450379221525516,1.159949763837393,0.8122789356618781,0.3388832405418727,0.4753858920201848,0.5163353689912744,0.4691975750499128,0.5906128954916471,0.5756354414428211,0.555422036848969,0.6391501018195205,0.790057496324346,0.6442075249674236,0.5713047397621307,0.7930974904974357,0.754325303966637,0.6638606966728015,0.6868505675341489,0.6471252894780296,0.6675390260371947,0.6415822855767997,0.6579460675898465,0.6805425349290478,0.738654879928823,0.6923898856914149,0.6014876397483534,0.5706158688756261,0.5734617214235954,0.6183305014767384,0.6926288616112443,0.8349195542647472,0.8324388159336363,0.9214630463112761,0.9138060066902465,0.8238402670342502,0.762299657968939,0.7397952657960967,0.6645879501831102,0.5859617991499837,0.5970383317270449,0.6656201904847054,0.6828216989874609,0.7216531494983948,0.7178917179914315,1.1233414503155974,1.711196892923017,1.6284713405053293,0.921109222590491,2.390109139111401,2.206652623933306,1.0515593184178333,1.572752963819791,1.2291035336456324,0.8836405538958756,1.1219146081308213,0.7936878686772555,0.6844072876488317,0.7562140286590204,0.9239429491549912,0.8138786345770975,0.7381866874982962,0.851632361628851,0.8563346695279406,0.9889011954154183,0.7258218778855945,0.7141597355842771,0.901917636341169,0.8111405906144146,0.8995633694303106,0.8448373068320628,1.0421629307680034,1.333416559930703,1.018311798402882,0.9833017632256869,0.8464352177530695,1.1479208656977766,0.8064174820871932,0.8837068222908893,0.8271661026986424,0.7467969906781596,0.7867906553327085,0.760724649136337,0.970428435363544,0.8334708455520063,0.6593323880388448,0.6610656449858703,0.6765881999027015,0.8083088838075357,0.7553614611745398,0.8652557808833125,0.8933538372516974,1.0226984193261042,0.9344397727212413,0.9219956479262617,0.9016499958609409,0.9551977533455848,1.0345680748685313,0.9074186876266074,0.9038129795552754,1.036112130487002,0.8963103350076554,0.9585234818432241,0.8044489600411356,0.832269572588059,0.7371111617179519,0.7386578251237462,0.9740048282386782,0.7260477956050411,0.7166542656439608,0.7622927882600303,0.6209673799089973,0.5382953593616296,0.5207593095187368,0.49327199251310305,0.5241934466690547,0.4700393007203016,0.6079659546254893,0.994109432342259,0.6171416213853761,0.7508327668543744,0.5950935969495954,0.5496996464148116,0.5139634517187678,0.45009529694485584,0.4543684162475471,0.4703623210255487,0.5378043083571966,0.5137583065528556,0.5395026113928689,0.6294746803793856,0.7385780682509923,0.7923622058512299,0.6484120593491189,0.7760339803134196,0.5527628697435049,0.5359517294622359,0.6848034854746001,0.5618225053827545,1.146107439885795,0.5101586751547518,1.190184210056404,0.8317855307349592,0.5882125175966574,0.5200011284434863,0.5346310710444401,0.5519207613036282,0.5099885301197568,0.5814002744770806,0.5658229265588957,0.6111926478648809,0.7135721250702904,0.7154795481990801,0.9271236832678944,1.07711370492069,0.967486358108718,0.8396066073938456,0.7904222249384814,0.7908642614052511,0.7229633486327164,0.6703061402128966,0.5655437503771206,0.5863351126056504,0.4935661913607593,0.5309847515319313,0.519160688547029,0.6333625515162804,0.5460269929476923,0.6205913229701638,0.7336292638470024,0.7324123628368364,0.5819819232849253,0.5822920064312402,0.5216257883223127,0.5744105806180307,0.5947830718870659,0.6908672274325615,0.7207184586041623,0.9668999155345808,0.6967064395634828,0.7770053852382205,0.5964467851872957,0.6425418487520095,0.6461453719449656,0.6428399037066558,0.6727853180525083,0.6567371119581507,0.6158038745791697,0.9545025449978757,1.3365930547465996,1.089001938086498,1.1714724474728726,1.11924920815486,0.9134283786789996,0.8645650281502201,0.7524703612801544,0.8263961026703274,0.98845180494121,0.9334800628410348,0.861665640061481,1.127690987827472,1.199146634374876,1.3477328847147538,1.0743288436788645,1.0870840872547167,1.4235542808567234,1.4038173798067575,1.1760429528895961,1.3553788204157147,1.7625900321963077,1.4421756835668356,1.4218087165444324,1.728161279831121,1.8321569907114468,1.5195249794895098,1.6994530103033711,1.5238784014381974,1.8759834042333687,1.3542570550919146,1.428095719341924,1.6594074804034036,1.5462428738528677,2.544407313600958,1.922810853810127,2.3823691997541983,1.8641815317431796,1.834484144911284,1.790060702906964,1.7138969473978676,1.581772147909696,1.3797020793185175,1.4483800835901208,1.2975847843129669,1.3189514701904643,1.152898473470317,1.294473205576744,1.124251588378707,1.10332263311205,0.9884222572314334,0.9742484605387444,1.2220474929760512,1.350931508116484,1.5631765985384591,1.708774804813429,2.051782014857101,1.9596273839088796,1.7274501871253367,1.9174853038311481,2.0774625693964386,1.900826301997073,1.8763775526271909,2.2117708237858196,2.288852746294122,2.053904285605213,2.1905325073549893,2.4016755822832216,2.3353387462295254,2.196373952789641,2.2751472029006408,2.039352127552877,2.0431743375977502,1.9332082729524613,1.8850376607327284,1.83417787562202,1.6075725816699349,1.5836569433657073,1.5470582545249494,1.4709933000832511,1.2322717523567763,1.3335054476221853,1.3445626839890716,1.1752756956789687,1.1045593413862558,1.1827760802757388,1.3997353713448417,1.191893453130793,1.2269489971029721,1.3177539996374779,1.501120142730012,1.4653970516892647,1.3416591543009324,1.187151139459781,1.162850950698272,1.4046184268238822,1.2046526404631037,1.2351162955455643,1.1952871353289138,1.061001969128746,0.688814737306363,0.6632534652354748,0.5383500494843814,1.152754977320256,0.8681176150503106,1.1807326601883767,2.1353073501851147,0.9441727337546126,1.212622335383832,1.4988329502129059,0.7393015490622571,1.6726353810517214,1.7845013082339598,1.419725569679395,1.8576341605510482,1.5064185134109087,1.6644397614711492],[2.248252103979638,1.0115775696567495,0.6668003850597258,0.3624661283222454,0.5260095366548092,0.4111888825650746,0.3871421722747756,0.5379290451148843,0.4946926770990293,0.4722527993654407,0.5564857213929313,0.7107412417867939,0.5635293215222157,0.4781916735031459,0.6648172161597397,0.6578017014504163,0.5881437954401848,0.5865394002046687,0.5640673095564552,0.58718861415611,0.5534062334222042,0.5699393151277322,0.6133848132875335,0.6785680044955322,0.6006440461546834,0.5025430402284725,0.47332702497883766,0.47259035843163555,0.5239622496232067,0.5947601641398155,0.7200590623361801,0.7184982364419891,0.8106985370634173,0.7733920167591477,0.6941112059396197,0.6388074980920417,0.6301058856872959,0.5493441990023742,0.4794879876137528,0.5019980129143145,0.5563454050323549,0.5808380623165875,0.6152648192179325,0.6379160085560719,1.0707470848722955,1.7057341955720355,1.6614465466485855,0.8896637702092263,2.3990090256930454,2.2636840581863154,1.0089007930599376,1.5817391824615052,1.1013854199779671,0.7977689338212218,1.0742979335826865,0.7129609070789437,0.6054719482556856,0.6917444633744823,0.8239880997830829,0.8633784606057058,0.7006373076109855,0.7222180652385418,0.7200236289033295,0.8491313265737694,0.6346472734768486,0.5935902736169316,0.8230517064055998,0.7266423034863451,0.8212984113555915,0.7753003030300547,0.9542689051254882,1.2494442364387583,0.9348987025542457,0.9321691747019933,0.7485267626609065,1.0478748629679588,0.6775656607248528,0.7271476496837694,0.6777310891956964,0.6497372635373081,0.6797147549134156,0.659813529431946,0.8764953106739957,0.7224622865884454,0.5765528621914747,0.5771456071268801,0.5655529202429226,0.6930442037822442,0.6227545982427223,0.7414181037293417,0.7588510955800319,0.9027235903586618,0.7967393873843153,0.7596544729421935,0.7521236081132681,0.7991389206033391,0.8728370278719021,0.7773129835414837,0.7962510534142273,0.936565183487605,0.8030999180183352,0.9002245769665094,0.720460671482208,0.7540073251956265,0.6600585197819347,0.6523951523182926,0.8527172675361586,0.5996622058755277,0.6100651852975372,0.6744789460568601,0.538054041529087,0.4511108296040515,0.43386513654823605,0.43310181329878916,0.4540425512450702,0.3952392104841831,0.5414310742750068,0.9380777809544834,0.49368299372014934,0.6253693459098536,0.49772944395195623,0.46432011940970963,0.43529686081875074,0.36363177565250093,0.3679408711104427,0.38835239950633343,0.43583503650171185,0.45534792931755386,0.44530863355600736,0.5416665112779364,0.6042440115812467,0.6491373318904949,0.5128701964626657,0.6934104746644759,0.4582291572741562,0.4944380221316976,0.7249191235955122,0.4658574456685894,1.0487269768314091,0.42631388830832134,1.1776397270594217,0.8303803124198615,0.5526519475682758,0.4652752643309523,0.470697433149998,0.4583721088845081,0.4264781701192212,0.5098951850010699,0.5100064066366907,0.5780959344579437,0.6931874966590402,0.7022797536229003,0.9099636606605481,1.075408135981811,0.9254676822152679,0.8033488073349748,0.7406900960500026,0.7404448455933332,0.6569150362233406,0.6122175991840624,0.4874397548735466,0.4934977765363151,0.3973313730714628,0.4281703579000024,0.4264227277090803,0.5835685934799293,0.4651050365565328,0.5822430879195146,0.6640791297695493,0.6753002313906332,0.4994706567898817,0.4815910771581885,0.4415272357483672,0.48747908567687614,0.5201667332988772,0.6029927140101606,0.6439899935269818,0.8680467286280606,0.6029848085860948,0.6834125436657267,0.4965831790711039,0.5532223632930086,0.544108051590171,0.5402300010757172,0.6079558303182336,0.6217025853240272,0.5619138180229274,0.9875106123655697,1.3502900904962372,1.0768365982516848,1.1812249948991216,1.0684525082398788,0.8586335387304442,0.8030512530414946,0.6457172467341024,0.7101110832636719,0.8741747053556415,0.768393284483789,0.6963541579632144,1.007179781249831,1.001903989090925,1.2006887591943658,0.9536984748794657,0.8922914936777434,1.2093204594701912,1.2610259957657586,1.0227260435869006,1.1276690496145998,1.5463358767707875,1.2929763622932164,1.2015949409274505,1.475932121101437,1.649213490835137,1.3382826759533264,1.4341642613525627,1.2399110093966996,1.610949795082992,1.0708068028956244,1.1420286531401644,1.3414864211525734,1.2228999748896079,2.212338045318694,1.576664870740751,2.0913379832749013,1.5321469239823882,1.505731349730327,1.5123107024322986,1.4086791405253642,1.2651616519866782,1.0934114324497142,1.1770029844844583,1.0096440873357346,1.0554918196642575,0.9114576905065143,1.1131466798252307,0.8724768705880219,0.8679391451506266,0.8589106291247097,0.7535709876171014,1.022942492042034,1.1339710436086725,1.341931662367522,1.530151620564292,1.798795190514259,1.7912406339909295,1.5642726057777034,1.6884854489077858,1.8796107934021051,1.756766442055332,1.6818389520281791,1.9913308601886979,2.1011797104683216,1.8644404633865466,1.9375233075508038,2.1450137764146326,2.1222914930378596,1.9228661214753011,1.9661569127086216,1.7411351293636093,1.7432028377684272,1.6656272961943652,1.5777269859929857,1.505172873628082,1.3321267622245054,1.3057136354061176,1.2257394576344969,1.1618525702835112,0.9487820719765493,1.0130181094714563,1.02197353305939,0.8948138730420568,0.8532352439064005,0.8805725551955466,1.1476157114163619,0.9632624914096324,1.0156308256461786,1.1464435770927073,1.3734802752940918,1.2681829328907455,1.1399423675991116,0.9496140512218634,0.9512987561552391,1.2420346717950719,1.0606695563330533,1.1091399981842487,1.072182155002099,0.8684836920469631,0.5714108491406599,0.49871661293169006,0.4729756076579046,1.0953014060582291,0.8213059196966914,1.0970080708587462,2.2249467084266503,0.9828734522067392,1.21649552369414,1.515472036156956,0.7824938525872273,1.9593634857583213,1.6956003962147421,1.1036077706630887,1.8102674149077873,1.3358337162395972,1.4490208871048198],[2.2001237272505674,1.09296369735802,0.7197611772564804,0.4772309436328323,0.6162730515956868,0.3881338864174954,0.34452766464719875,0.43786027671878547,0.36476272552066696,0.3574273495126881,0.41169158977858794,0.5400880690681592,0.42101437193365737,0.37686976921596593,0.5429734046004164,0.500186045876291,0.4768107521974916,0.4816930025872348,0.5067472393565816,0.5087019847968164,0.4950507152410402,0.5060540426140743,0.5754255877456053,0.6854767299166346,0.5727556691441155,0.48417615414506643,0.42953370947213887,0.41264023049105925,0.4229850651839833,0.4618859905004882,0.5641247934370789,0.5562972245922823,0.6217868977394351,0.603257064732333,0.5440877704516813,0.49557962171919073,0.50157198432295,0.4356357853861272,0.3971194925607233,0.4160834157031643,0.5249642657954,0.5012712647866386,0.5257642262218831,0.5867408636741186,1.0503598015671407,1.6553483264565254,1.6438200323987668,0.8454139604968796,2.362816365504452,2.2276621649472337,0.9802923944873405,1.5395299025514035,1.0179716072734437,0.7410597867881691,1.01097362031993,0.6269630707739681,0.5290479650998531,0.6111846846500043,0.7594822541801263,0.8463164674117554,0.6516150714922753,0.659105432881183,0.6202590642152548,0.7826809052441005,0.5498424163614032,0.506063936829174,0.7631053252654946,0.629854261346071,0.7818113832047575,0.6977957807979628,0.9205840560395927,1.225325186858566,0.8697577185283745,0.9127150313607911,0.6442838964111421,1.0145588684867337,0.5677799267186393,0.5787791247991139,0.5422947142129606,0.5328398202392886,0.5605805735139351,0.5581830649561313,0.794667300061704,0.6337941832790049,0.4857318979264403,0.4799164130265191,0.4600902166974423,0.5777687678474427,0.49376387958259144,0.6093437762278378,0.6057658741653809,0.7372994484581792,0.6316312997887896,0.583301832937692,0.5783396695085135,0.6362137643253442,0.7199733127295964,0.5855868125791774,0.5958079978678066,0.7488106562656002,0.6167313093423273,0.7643696397195281,0.5838063927579604,0.6573615602987838,0.6017573764200098,0.6019923337910499,0.8376770515214373,0.5713875490829171,0.5902792859173069,0.6668340984963597,0.5178217008390755,0.4109872093057587,0.36933162286165605,0.38405677866342514,0.3877733384819538,0.35954956149663525,0.4942717205692963,0.8408637376499531,0.4974556148599842,0.5613556732421405,0.448602567719149,0.41319455285204726,0.4057974634390243,0.3247108809942044,0.33505283754839077,0.3825220592237693,0.4426923220586413,0.4557076923494302,0.4329247972018102,0.5110794018371385,0.634920223012815,0.660937504043134,0.5283174474300645,0.6577187356533573,0.4585766219776842,0.48619761144180307,0.754412936078794,0.48073080322644296,1.0760376968753005,0.4081449895318679,1.1627447173251537,0.8760357225428693,0.5660855281876647,0.4387503593455784,0.4162481030931773,0.3930728425992442,0.37052980647321676,0.427664951794796,0.41850079094947384,0.4721655622816579,0.5958083670926958,0.5611663610751868,0.8298786411710514,1.0287964697800407,0.8032048816443865,0.6472200243289296,0.5723635023283028,0.6076212819225641,0.5149214329577559,0.522908164603773,0.4349096866925427,0.41204561800183676,0.37715780132084753,0.3812128604118927,0.42660747767423235,0.6110346692367558,0.47502079393043717,0.6119196823713561,0.6727048812790336,0.6883013766993994,0.506506370341111,0.4777394401925908,0.40674660978260274,0.4398946512473446,0.44097331378775145,0.5170430871274673,0.5339833910695735,0.7924431510533502,0.5123267805364056,0.6051977435265709,0.44150530589447673,0.5082292343306526,0.5252838547893639,0.5386492469623269,0.6071419025107531,0.6075725026927505,0.5262700476474552,0.9981701230091244,1.413006179684726,1.110227915962133,1.2341399466031786,1.1302108111773814,0.8932495430456641,0.8424239364905498,0.6876409151482977,0.7788834990644561,0.9293440665749192,0.7977233502196375,0.7220401614092946,1.0344144880119936,0.981856554712136,1.178285316875647,0.9497447326951803,0.8647074916301885,1.1696769665305335,1.2271374369852517,1.0034610895592695,1.0638825749004541,1.5078501765864836,1.233042155410164,1.113469564943035,1.407778388052402,1.5886698065332288,1.2456053370110935,1.3450049498326087,1.1418550481521446,1.5269163331205835,1.0147571558804538,1.063646708087445,1.277293362145408,1.1793521735234405,2.126932505771274,1.5409212555244405,2.062998916409601,1.4857094666641346,1.4633742423125466,1.4819711829168478,1.3631647976331813,1.216989027541068,1.0413457653874214,1.1383208634348494,0.9550347175404057,0.9986582068392835,0.8771203977551357,1.0630880275060044,0.8746809922285326,0.8791257584541018,0.8860381971200774,0.7513487212466565,1.013700529616607,1.104706401412814,1.3131877393581959,1.5080517510432792,1.7899976544073897,1.7822117674772826,1.5468370550994024,1.6819813071741812,1.8835155605681693,1.7467531532963778,1.6593162781705144,1.9938966028297076,2.1030399502688826,1.8468688346515136,1.9352407660648752,2.165189326695117,2.122418735934326,1.9138339209175206,1.9810337984466326,1.7204093262857703,1.726795256467171,1.642965609945396,1.546976236035273,1.474555237486208,1.2869442875077433,1.2577583255991358,1.1700351971801632,1.1028977894280283,0.9041101269073019,0.959704437589176,0.9635009176316981,0.8420267859313891,0.8374768235858372,0.8479948022384103,1.1553423489413455,0.9525820494831859,1.0012567324049377,1.167386210870497,1.356808929944894,1.2574013898506236,1.1157697735837133,0.8976175724717065,0.8719042352301934,1.2057526260772538,1.053437466316856,1.1260277289040497,1.0575099904508303,0.8864075820004222,0.6379148595848843,0.5335186644865109,0.5389913038003251,1.09091059478334,0.8291249801920161,1.1218804080721345,2.1961965287130467,1.0110999272175185,1.278917633610638,1.5500286574159727,0.7650870229136756,1.7870679005131074,1.622384248904798,1.2098483317734208,1.7839354086490873,1.347034216608018,1.67048483771505],[1.9717369154025948,0.9373515189168551,0.5821338955749555,0.40431303169032345,0.5244063207467953,0.34480224356695927,0.2920093610429232,0.357006512222153,0.3463273112762457,0.3447998492062042,0.41993819224116513,0.5192627147704049,0.4144555478388293,0.4026266022044544,0.5338061580949913,0.47985270779633726,0.4752762434327818,0.48785389534338963,0.535873695343419,0.5229913343559203,0.5307298664925794,0.533326384431113,0.6281141662105536,0.7544148930042668,0.5911367362204539,0.524951820521424,0.47012553919902006,0.4315550518319257,0.4289482522794089,0.4478730415850931,0.5336644521854524,0.5132090942526235,0.5742204233931625,0.5522500328289415,0.49574070003894327,0.47616153193079835,0.4544996338679054,0.4293224160141063,0.39866385704116947,0.39149003042618424,0.529671603675901,0.5134991031363053,0.5126241896309695,0.6180375219714181,1.0559552860221906,1.5821572045427532,1.6027444365720611,0.8520579470714967,2.3221074586684622,2.1380122777793193,0.9916185913551335,1.4750995120689088,0.960823251531831,0.7543379061402499,0.9792888285591481,0.581174304171887,0.5472755710788288,0.5928421394222265,0.7344803448751359,0.9191957346360384,0.6692028506327543,0.6802224487684227,0.6417411892369054,0.8133417840096565,0.5843507218486046,0.5493152914780826,0.7864891618732393,0.6447840164098653,0.8135063348668756,0.7229498639276457,0.9230577748557761,1.2225934851416245,0.8890356220706451,0.97189955715161,0.6685698624082618,1.0460044769244623,0.6000353021103101,0.578344222129087,0.5278905209465022,0.512742888711992,0.5368450635712543,0.5373906885307179,0.7708264564578878,0.5717004545878922,0.4335579958578182,0.4648336334310333,0.45775094662583243,0.5472154287404448,0.47751030152719415,0.5799624747794333,0.5816400539345497,0.6863951163501338,0.6032196305537483,0.5519083453706396,0.5452785710370825,0.6037934188411828,0.6598817661099092,0.5454863669941391,0.5469728732267006,0.7082989048189959,0.556916751003545,0.6967852793738349,0.5102270375291813,0.5724708126224912,0.5140773797479838,0.5135723507179748,0.7502614084170438,0.5258529456062052,0.5318038317674367,0.639210146496319,0.47439269893122893,0.3453928401294068,0.3116998999342909,0.3421691453348434,0.3714445976366874,0.34702996733723623,0.48217212892153966,0.8222979777536806,0.5533689049637422,0.5755411481730909,0.48043845245947603,0.4380549877836437,0.4249649381687052,0.3127824244067973,0.31675565064779065,0.3346532841895059,0.3766053107528742,0.3823648318588184,0.36812239242010775,0.46104411595732697,0.5667163910538906,0.578626963681796,0.444430542796499,0.6295656247512694,0.4050856067409741,0.45321218746560765,0.6876276464720706,0.43013778653530105,1.0492347108940367,0.4115137423746793,1.2363216139325677,0.8956662047482867,0.5689372895834462,0.43259498170309896,0.39064343883908437,0.39970407789207546,0.35609668867684946,0.4071491711424282,0.37008339419790887,0.4270298280749466,0.5290196206899636,0.5564299058913814,0.8729820378577664,1.1974557496049425,0.9193780674883958,0.6603388761003544,0.5229527332424311,0.539435736741326,0.45435624986110074,0.4585265320032222,0.386623236017225,0.3901195994934738,0.3627707500063103,0.365272410500451,0.41922877153508115,0.5691201678200948,0.4587873783048061,0.6088187438299635,0.6515730347640458,0.6715341358610646,0.48273686929686316,0.4545066754992599,0.3944007346355617,0.38687124222670205,0.3845607066248164,0.4534049184815972,0.49462864652435234,0.7334198926119258,0.4674970920928622,0.538514223449402,0.3792764410573653,0.43397760167879224,0.4591403183963854,0.4696025604725109,0.538753936967264,0.5587048675456097,0.5138160743608968,1.0032935295215586,1.4232981303449757,1.0651471817588345,1.2633719481907029,1.1708510956314244,0.8959462920784794,0.8156410989183317,0.6252135040391712,0.7073590012462403,0.8554682674008827,0.7147607515402796,0.6350689008160131,1.0059612195685368,0.9064132266558268,1.1580094873978568,0.9335320621147983,0.7962534816385565,1.1054757125610528,1.2144642462307782,0.9548210288598322,0.9939858935511596,1.4555270590438394,1.2250348087678042,1.0613994096296155,1.3421551282127477,1.5722416393195164,1.206842213083873,1.2654105274735057,1.0325439506921714,1.4287418429479397,0.888019408326987,0.9566063787868212,1.1424536267241372,1.0401567869899302,1.992156507221932,1.3591103497040724,1.9320115084481688,1.3584736972353126,1.3416629587331284,1.387352504360725,1.2511730261879708,1.067833443159877,0.9219428132606907,1.0429024469427475,0.8388528626001018,0.9022015214765268,0.7723130984668625,1.0043448301961528,0.7693639067107588,0.7517207171599833,0.8395823259706441,0.6316624607418908,0.9244876195640749,1.031641901858923,1.254920041851981,1.4849838027003461,1.7542558215553836,1.7838038243927263,1.5194502478011023,1.636753844841449,1.8830459328814326,1.7585393587466025,1.63603355514784,1.9781237000091523,2.1158465401566215,1.8311585467909925,1.884690253502911,2.1359376253450115,2.103877761450152,1.8497259603543974,1.8953545714375069,1.6253856935967699,1.6334250246637438,1.5651255793750924,1.4445649640938094,1.3484187815417084,1.185423393121908,1.145177678819943,1.0268312937018282,0.9673696063991495,0.7722855816226061,0.8011477623211727,0.8356802947806956,0.7186971910832174,0.7012792528697953,0.7092239983829856,1.0257889368726294,0.8683925526413856,0.9224453042354899,1.1629417066361238,1.367298092907359,1.1671305990331478,1.0201740972756506,0.781804164916537,0.7774523755768371,1.0993095056561117,0.9671685299797339,1.089841261054863,1.0263303532567238,0.7612811028293315,0.5843137500951653,0.4695509106629572,0.48949363555401026,1.120237140599591,0.7360794916392848,1.017235011120124,2.1414619846807046,0.8841206721961069,1.168436797135079,1.4293063733529916,0.7881546487394648,2.076231656679687,1.8755445197333565,1.320162832480082,1.8101416106458261,1.1963950879760683,2.051492034364924],[1.9068516775376034,0.8923167232787007,0.5542568179879117,0.40945411109407137,0.5247498246044436,0.34230270024302073,0.2757040414596182,0.3282826440229723,0.3165010863200436,0.30625997075876304,0.36099279729495054,0.4511495908348863,0.3545131655607536,0.34642062784514976,0.4745980167992424,0.4143201460146013,0.42185736756869585,0.42351967137391355,0.4690265300656549,0.4615768273257346,0.4573075124934103,0.4710924405954729,0.5566537460916602,0.6908385487691548,0.5564955842270544,0.468088191215459,0.405056029260104,0.37499412519518255,0.36837910969249327,0.38140927955448817,0.4708788844095198,0.4335881420031888,0.4978462519930984,0.4708423929781781,0.42456282251271366,0.4028783310661288,0.38621670833378646,0.36826597309913,0.34774143097075044,0.3511534875597432,0.4912714198749285,0.46282855457710026,0.46416752770829456,0.5969671242366699,1.0497484190804485,1.6151504085724695,1.6436415059690992,0.8533433095757852,2.338805654745762,2.187914060199926,0.990863346828805,1.5080477316406202,0.9468499088160911,0.7455183765452765,0.9456296136354575,0.531785699102624,0.49664131112622906,0.5430089328776094,0.6866200126130746,0.8630531322009978,0.6139254083256277,0.6108531714078272,0.5657317236260563,0.7280940104417549,0.5182641473469817,0.4630441943530044,0.7075950024940324,0.5671947334112527,0.736353039958258,0.6441147716794389,0.8614138940114582,1.1443093208029051,0.8057805597396345,0.8784941651983491,0.5943942853733084,0.9851726449510967,0.511364553389812,0.4876857169195776,0.4488418711084297,0.4446343107725074,0.45721502669630554,0.4758825488728204,0.719188405404634,0.5164076731710576,0.39875649775510474,0.4032153390744059,0.39136952705142863,0.4884837478243633,0.4042898878738034,0.5085534508204087,0.5050559194058931,0.655820464250252,0.5515534326434417,0.47130092062816586,0.47120931399761173,0.5274783828815836,0.6027098825009536,0.46566762136513773,0.4727297565319341,0.6141423963353707,0.4707128669547367,0.6352128409615879,0.4375606553691204,0.5162349835136619,0.4751558397946746,0.4832906248615039,0.7095863923485719,0.5166527193402715,0.5269981846284739,0.6242483793712587,0.4653098966148753,0.32963656416319764,0.28825817791416225,0.3315931417036179,0.3381483451166119,0.32025822749090965,0.45861929363287096,0.8570881278470047,0.48544324004943556,0.5163544780334,0.41590275615020345,0.3820128556362853,0.40098200969126296,0.291265538954018,0.2988332453292968,0.3339147725360041,0.36585906944875823,0.37639792595332666,0.3682494100358193,0.45508013522136437,0.5608871756724602,0.5629035571699834,0.4386868435319881,0.6107652495141571,0.4004866061695367,0.458416039977222,0.7048339490538653,0.4293271154790062,1.0279077486441397,0.3936813466513022,1.228626242747975,0.8817278473741512,0.5372889205035013,0.41053451094586685,0.36959921393460643,0.34767107736128666,0.3162704104544623,0.36492714537627763,0.32834439987661124,0.38849717053048083,0.4901919401039293,0.4948499088017218,0.7777154966858008,1.0913921394281432,0.8575760583996537,0.5613133144885898,0.43745542754811917,0.47039872984089526,0.3927953954224114,0.4182353411376406,0.35858911167831325,0.35129563316473456,0.3312981762808766,0.3272080163507925,0.39813237340093083,0.5542388344223913,0.446954402427845,0.6003367094198957,0.6480934086769691,0.6655126668132313,0.48112285619518885,0.4431974687074961,0.3811538965840281,0.3682796353202559,0.34280354092149795,0.4069504899602016,0.4420926911311139,0.679480994748331,0.41771682636758195,0.49070958495242456,0.35463972722061193,0.4054847596790078,0.44047327590633834,0.45970511084852234,0.5319622708737254,0.549431852051639,0.49458458395128485,0.979660621824571,1.396906251346125,1.0542640726221768,1.2587772965620245,1.1613244104029434,0.8936649469851526,0.8145285891156945,0.6268840900295022,0.7156135624375811,0.8606034348411974,0.7143306641464492,0.6388946373152745,1.0164429840034848,0.8897957944068526,1.1441481081642564,0.9405055971827753,0.7918270420500997,1.0821534264703567,1.214650916194327,0.9612078935476385,0.9789754912865869,1.422961929743827,1.2358101138558137,1.0557012145516593,1.312488383812068,1.563081204102638,1.2083787864682685,1.228861114760401,0.9987961654783144,1.373251825866129,0.8401312814816856,0.9226524917867694,1.0836140205566203,0.9798244627568373,1.9602186367440915,1.2822792045428706,1.840715789108169,1.2942559424745432,1.2676543258605533,1.3270900449097016,1.187866420774407,1.0014110317286073,0.8809542538445728,1.0095840747903588,0.8079549155269172,0.8698681835574643,0.75208198961405,1.0007355629033978,0.7523789011318599,0.732203832811633,0.8418106536908353,0.6222965358334268,0.8995940704906635,1.002319856346854,1.2202749209299242,1.443934575628683,1.682297309245415,1.7285440134863332,1.4773324288951881,1.569357768203611,1.8074378285079324,1.7150627284662636,1.5931493605560503,1.9053514283539255,2.052017985604208,1.7906060959971695,1.8109145462195977,2.0444735883014955,2.0397273474716955,1.7761524174768704,1.7972360023084082,1.5508503578497874,1.5529257767843412,1.5008388548476692,1.3734520518605018,1.272873591882355,1.1391363724786645,1.0931064413273792,0.9698719200751778,0.9199956126252548,0.737705538859063,0.7544406897653008,0.7911842581649385,0.6930661536304978,0.6745847193670746,0.68118312251322,0.9860480382444747,0.8407107805787057,0.8981289209107006,1.144955692029422,1.3689590488441457,1.091883282047926,0.9783985866985616,0.7566628464747922,0.7653976050118891,1.0736520908897182,0.9435706135101162,1.06443404895359,1.025967503637778,0.7563684176280615,0.6018405817591349,0.48456307007233523,0.503202823943438,1.1515863747889512,0.7128015581991457,0.9758938747871527,2.1164858850230637,0.8684719729924277,1.1124202276009272,1.391504133645862,0.8482441864400413,2.038438024871255,1.7254390124437817,1.2881523224080613,1.7590047215531273,1.0428641902541724,1.7753319728164494],[1.7631970627355167,0.8583542759413046,0.5024839397536909,0.28872784922573136,0.39633242845668265,0.31598679858536005,0.262747617966427,0.3092730452666291,0.3372173373765711,0.3166611007023963,0.35346536665276146,0.4287476020763613,0.34639339451331597,0.37607343637139207,0.48700982395892806,0.40827917592291363,0.45031300435815436,0.4493052683666486,0.4965911426564923,0.49004158052055174,0.5053351099302112,0.5082619763243604,0.6206852476718892,0.7621229473760394,0.5961124355749694,0.5217759523188313,0.4605306648614846,0.41135654724453347,0.4061703184188741,0.409822982546056,0.47259671050725566,0.42906201182244663,0.4939276034571816,0.461784655126043,0.41769494137454743,0.42023274662162247,0.39681174219160953,0.39810879000927485,0.38410713856739315,0.3802890387118847,0.5204629421091969,0.5069235136998232,0.48538307486384646,0.6539421834133706,1.0756742709817875,1.557748641639901,1.6194809081810004,0.8725464194115884,2.2806041328507654,2.0996178464250934,1.0018463142938876,1.463328615554525,0.9167051978785128,0.7872570317766204,0.9198315893643624,0.5103943943026604,0.5407287064359833,0.5508018375610548,0.6728959648038858,0.9342924658514079,0.6390749549867388,0.6270161273826773,0.5727176143642456,0.7554875935811938,0.5647386333478159,0.48986204893737506,0.7250201096584454,0.5780207362683966,0.7596110742586917,0.6577650382557967,0.8586502522861474,1.1244866432450666,0.8024137529310179,0.9197096342162316,0.601095938593779,1.021722793173951,0.539900376537359,0.5028909529418117,0.45900352058797517,0.44863587332115923,0.45225727899236284,0.4750331709741947,0.7400309996185205,0.4910781650468464,0.39780576284296354,0.41482011735619334,0.41526076139082324,0.48403404633688313,0.4211691205137692,0.5100014072462019,0.5071538370431954,0.6723817749410899,0.5542203927782096,0.4794198319488461,0.46375532944091075,0.5255667194851744,0.5808557325685992,0.4456753652758575,0.4393237672589873,0.6006997144845927,0.45416310797530074,0.6018643660153034,0.4119225699414384,0.47449270832546714,0.45058529381176554,0.4637143482647753,0.6374178433013599,0.46828258904816916,0.45963106005342325,0.610742500943775,0.4248842016908831,0.3082367098491541,0.27988406940866895,0.34258232696598345,0.36033811577773867,0.3556551552439149,0.4609568388503114,0.811692795629376,0.5461213107012566,0.5509754987575484,0.46660843978716693,0.42708195886284833,0.4454423241960058,0.3156786727275313,0.3313149845294051,0.3434437445167982,0.3356662135063516,0.33267981711735267,0.3334568452147035,0.41817809945262424,0.5517992695474147,0.5206278328439436,0.4221420145100314,0.5961275829181568,0.40782636930680016,0.4580793838101232,0.6091391880069477,0.4394780167922492,1.0687654285488457,0.448636376161593,1.2857791100623728,0.9578645575721928,0.584792387538248,0.45651795281663116,0.39166499499662866,0.38042421873489884,0.34385388003908607,0.37130488199549705,0.327409361425141,0.3787787702793897,0.4715820565860699,0.5069723521744885,0.7583570046279017,1.1892829897003103,0.9570525801181484,0.5589203730341066,0.40757220255780613,0.43789065474263666,0.3720433325010215,0.3914410191288507,0.37548843793766284,0.377620134657389,0.36716914169329157,0.3594407575677842,0.43389570212494055,0.5870260307514089,0.4808759286461998,0.6277548195375429,0.6554291214381407,0.6756638998907207,0.5065438376859913,0.46725189080340285,0.40026446833129287,0.3657881104661234,0.33845977781442216,0.402347612085185,0.44467443878083174,0.665359226000524,0.428904404628305,0.4909468429878395,0.36361960976794105,0.39691193773898426,0.43770313721090426,0.4749312579545503,0.5395206586990712,0.5509034075589253,0.5089427489275781,1.0223950395906432,1.4476895654535888,1.0521079986220372,1.3402922220606552,1.2816269694507407,0.9558567486653327,0.8650266945450655,0.6601883037662344,0.7180674368069204,0.8497609735623033,0.6770923131537429,0.6023321206627743,1.0185585730570128,0.8279613431532129,1.1126975208345296,0.9242679174201561,0.742366588238575,1.0153828643315443,1.1810033566752134,0.9429391568529524,0.9278819339071651,1.3561023454572574,1.2143017020449316,1.0247349657952673,1.2589164404550397,1.5262488478258158,1.202442641482916,1.2084800909089903,0.9800476886728383,1.3100475149738742,0.8179006518322094,0.8677470592923117,1.012729990433233,0.9081003649201745,1.8811679684767226,1.1817629884629361,1.7212701424316064,1.1942622536017198,1.1585255183169856,1.2288013596161558,1.0782489481569923,0.8849207993260354,0.7856689243505929,0.926124023551253,0.7542909709171481,0.8396616090056758,0.6893842418478978,0.9393643181069223,0.7651852527597198,0.733150198968979,0.8575671895570743,0.5733979390058608,0.8208491463357543,0.9357400905892277,1.1575036519405388,1.4114013179089346,1.6206330044328328,1.7106748826550453,1.4353647750930256,1.4999123953686393,1.765394767482301,1.685563658948396,1.5381323227515211,1.847236754422818,2.0073446294784283,1.736663738699728,1.7351834991985429,1.9787767455873593,1.9873329072057266,1.7029729994728324,1.7103288097979665,1.4585550043699644,1.4548176625143856,1.4118128621466943,1.2699975112421573,1.1687502263456808,1.0548819674601937,0.991274157062833,0.8623717358942379,0.8374447506990867,0.6601850375461487,0.6574012903453197,0.7672331490845499,0.6794219800631371,0.6515561399697728,0.688544978129338,0.9902808239885963,0.8836436453800106,0.9299597001135839,1.2482367198881115,1.451091984124049,1.0847919225774958,0.971750160577795,0.7501609921077508,0.7593747982667748,1.0479861214100674,0.9350588982763577,1.089704706353352,1.0576458924110763,0.7210045071102333,0.5959363383325267,0.4656051163465207,0.46718688432412464,1.1751916792027748,0.6329583463207149,0.8794339560188869,2.0132951376297,0.7683638104417211,1.0207770129450493,1.3096635099786202,0.9189382718943749,2.008950904104058,1.7847951651383358,1.3727498783015089,1.6216014370584055,1.2340126172880177,2.3145513039138903],[1.4815328085798811,0.70663085298072,0.44377502930910256,0.25109620493011336,0.3757840403502159,0.2968682566018584,0.2140964471364534,0.2740218331473818,0.32527701394990266,0.25320913799559686,0.3012126737334382,0.3919243116645054,0.2856991791112295,0.3170884853990487,0.4449479996187298,0.34907915129156936,0.37253170682826264,0.38100330308834857,0.43932803102015483,0.4288839849398393,0.44817878443942794,0.4740958897304542,0.59829031286221,0.7468964731503113,0.5661388589845586,0.4830302073859118,0.4155196933204247,0.341755487565474,0.34548012939505635,0.3370658299255049,0.4115059120123335,0.3609263218424555,0.4654065287371867,0.4320564267776998,0.36170433645424854,0.35962864216460944,0.34286993486038103,0.33775315638502723,0.33733046080092743,0.32602205276215507,0.48494578372818714,0.46941838521885676,0.41771619204632077,0.6951246423024543,1.0741726974071468,1.548217512050222,1.687144755364394,0.9486532257051333,2.3083185582662815,2.171845137734922,1.0285812270795331,1.4964577842805655,0.8470990707825191,0.805440215758221,0.8667784552167842,0.4579497028148745,0.5496402672145101,0.5210315426113157,0.6173935960834432,0.9532545004170956,0.6206308345004617,0.5934562257558944,0.5284229728636782,0.6934333058741365,0.5330163250677905,0.4591680244743587,0.6813466549270774,0.5073251121933644,0.6763818377011149,0.6041312164316182,0.7418803337469083,0.9818655347909303,0.7391587070833303,0.8707640204602289,0.553307064856787,1.0576815419689427,0.48238713388257976,0.452304004076215,0.4005600995189337,0.4114879454587429,0.38702649057164024,0.4120883424367007,0.6878506386923627,0.388483279228907,0.34135211394972026,0.3507224615644407,0.3570815116572232,0.4308999642955332,0.3655438705297641,0.4801024395092462,0.45752404090623794,0.663573016172976,0.5431175373045358,0.4654579995057242,0.4248639722449678,0.52556267874648,0.5389319145937543,0.41726911816713685,0.40132391802252154,0.5713037958376532,0.3940192526947114,0.5380138966673265,0.347280338375057,0.40737258347436023,0.37521782537734105,0.3954974031774411,0.5375889093873716,0.42687783151081427,0.423471817006947,0.5656333941260858,0.3948423395031991,0.26479378729802827,0.2365314195555443,0.28720621634946186,0.2878482921579927,0.2975512350107739,0.4013799292877511,0.8313889005681034,0.5247861570239988,0.4526747319278797,0.3897145125269739,0.35555690589023065,0.41909874524087576,0.25479672373703277,0.26615835967119056,0.2951531302258707,0.28171644145458147,0.2936706543948814,0.2928255316173723,0.39580017707995896,0.5256405708099349,0.4821082032547583,0.4155408787202017,0.5482596068532707,0.39781017936598645,0.47814038671392844,0.596712646393945,0.38494373751514444,1.0272711068289444,0.4360375322963232,1.1776332579721156,0.9466354329929548,0.5449223606446597,0.38812207198139054,0.32598791534748983,0.3103773290684464,0.27207335095003743,0.29015022829846154,0.25484267849887204,0.3418063098897981,0.42592373585333626,0.47707257233321637,0.7177456883501032,1.1611598401239236,0.9949670203874617,0.522274396445138,0.3438500658062454,0.36927223790765257,0.30030209194847735,0.3406925576152264,0.2960688333763963,0.31189285576081294,0.2986509652809555,0.29766450119933,0.39815855438900377,0.5449831055934791,0.44479798523574493,0.6397946157038833,0.6644928690839051,0.6693653587915012,0.47721720878266044,0.40962844102497165,0.3529439196442676,0.3026579497343248,0.26501862994546316,0.32379794696131603,0.38468458485028634,0.580631382545764,0.3646662875431059,0.39612622934788927,0.30891547229335986,0.33233160559958885,0.39918667529751645,0.45923116486969306,0.5173724945587471,0.5320036265224457,0.4710862232609654,0.9930960191124093,1.4616109416650955,1.074962562357207,1.4205657666602876,1.3564235308169776,1.026657028591411,0.9155743047685391,0.7007419300951367,0.7647489840718147,0.8529317666125443,0.6693156640393392,0.6030540257241174,1.0552307442379127,0.7846708331877498,1.0646745306924459,0.9246696223821225,0.7184385688103342,0.9450516195243563,1.150814411641666,0.9411467430775524,0.8697075860711186,1.2713064885861278,1.200408524855821,0.9842702572559963,1.1862572681592778,1.4843793708541484,1.1933931908721755,1.1620015742330172,0.9142985754232282,1.2069396897340767,0.7559706915405559,0.7868329215890696,0.8968828713723564,0.8212153781388761,1.7641981863669982,1.050217242436359,1.536621375876242,1.0370050885849005,0.990543469945909,1.0967661475666015,0.9253540266250609,0.7464654451713393,0.6938935279673859,0.8264487105206938,0.7239819515256191,0.8149940158911372,0.6446593310129687,0.8842314849558873,0.8298431325634283,0.7577144131442342,0.8900061911311701,0.5629124387051335,0.7712890006768539,0.8617094181853143,1.0691878392671368,1.3163790901644081,1.4858516662523027,1.6076557474334845,1.3472084495536125,1.3787316105430623,1.655374626110172,1.60498329100907,1.4395778682112401,1.723926519726633,1.8986445238159702,1.6462673814675435,1.6132966224381176,1.852282270363083,1.898945756260364,1.5849305200367279,1.567318253108723,1.3224068050829163,1.3072418402330863,1.2797072163947671,1.1143382149299768,1.0203617005011933,0.9517936709862965,0.8723498239364579,0.7444884485917389,0.7497071248053384,0.5931455781697406,0.5852372282510973,0.7504679924675709,0.6621931748552901,0.664905372412884,0.7042007522373827,1.0079749551790447,0.911662803354088,0.9203199585917657,1.3040500746611314,1.4550560043127774,1.0490295352002437,0.9119663739387699,0.697733705877099,0.7260305819032645,0.9455414326976431,0.8704693673377151,1.0629219984824065,1.015982914232963,0.699207662461441,0.619301673294307,0.48045685788921877,0.4781904515859791,1.1980886520268534,0.582972051354198,0.7903505226164144,1.9147826073753555,0.743204617196791,0.9524429689624209,1.2427540755491615,0.9675559932593008,1.7535908198385946,1.5374218890329985,1.316298964127549,1.583857502323175,1.2611696121605733,2.2284869470422413],[1.419825003559359,0.7016092316178136,0.5508740892350102,0.2964882959892619,0.387693546991174,0.3517073462278747,0.2989061757388079,0.3427133799526373,0.3751762721664154,0.3157734831937428,0.3407915884337692,0.4187757507600508,0.35140058631895166,0.36037672211119065,0.47887307488991404,0.3982235421794987,0.4241848683497074,0.41507192191696946,0.4769964486603489,0.46091950170389245,0.48141118725998067,0.5164452724831993,0.6326163521148361,0.7700667152289895,0.5902917511598815,0.5182284472556187,0.46264947918089694,0.37915462489088786,0.38862084723587803,0.39294691325977976,0.4434298203459455,0.4127159234590147,0.5220686688696118,0.4851000210244892,0.41821342194169486,0.40330041884816487,0.3966692005444216,0.37725712798141464,0.38371151383250673,0.377917084697328,0.5201714644943882,0.5017142162928565,0.4487341197504187,0.7298944541654647,1.0728108041565596,1.527449068180813,1.6600118475305985,0.972179034525223,2.316043513126359,2.138940823698953,1.0763388068433477,1.4806039177927377,0.8490716411829027,0.8479240388622648,0.8658389302549859,0.4886454804559362,0.5996557752037353,0.5537603943846182,0.6332779653745474,0.9983183239428304,0.654867922598653,0.622495846034679,0.5608041958333089,0.690928012837405,0.5639631492184697,0.5054008991753025,0.6935067139964948,0.5334852718314247,0.6753905235362869,0.629269445565045,0.7242432818503225,0.9512106559886034,0.7402210399084921,0.8785941604713746,0.5672094606924206,1.077591725768497,0.5184497073990341,0.48015627201098465,0.440008353532716,0.4755375670969743,0.43775056229036163,0.4650393892410926,0.7190556220117557,0.4241841575701658,0.38904451137189855,0.40451660449481197,0.3994099203060495,0.45717375495487667,0.41769622648671784,0.5402473449941886,0.4842968640810176,0.6690699388561983,0.5753161916019975,0.5051168061706488,0.46538180685455977,0.5722206500167429,0.5815247617416488,0.47422311956741053,0.4461223827279585,0.5934596539806793,0.43197654653594963,0.5066671938969034,0.3796596353436818,0.4292781825290974,0.42523004705996537,0.4280695495255786,0.5032438875833851,0.4293975727852985,0.4267976791353885,0.5946845152376824,0.39608987156998826,0.3303810016382509,0.3109612791940298,0.3428737451855525,0.3398439929031894,0.33912102612330336,0.41995442600522137,0.8092763514868843,0.5265259343788616,0.4677414818974772,0.42227285530505737,0.38091230120479314,0.43204263104154306,0.2995935060947124,0.3279931395740848,0.3441386703165626,0.36003805538285405,0.33798644590630766,0.32774914216746787,0.41873678048214963,0.5807094512344639,0.48517990572032155,0.4476651523994662,0.5787669600448954,0.4411127398491634,0.5027393506946386,0.5378868684603921,0.44337046194176216,1.032142687839891,0.48550766067211026,1.2836175971746622,0.9453393927034536,0.5648971629448285,0.4323725176502144,0.3594724237526037,0.3600212328116738,0.32219253031383305,0.327505660327424,0.308129996090481,0.390414205754762,0.45873251271951543,0.5459176462442106,0.7361355854861459,1.2029710549942467,1.0944274152548272,0.5663105967406958,0.4055752343772204,0.4027636617102244,0.3501190756874554,0.3745979321773818,0.35277831323769687,0.3586518161246028,0.3528135819002722,0.35502759862230077,0.4443439719276219,0.5658155097383081,0.4824457693689046,0.6571127499307845,0.6758019124163221,0.7020926408172073,0.5164206767910459,0.45689170642261673,0.4044606456177592,0.3685415417645141,0.3343044545783079,0.3762291831402919,0.4270318703377744,0.5997340785956496,0.42616303328421923,0.44406069587904723,0.3755586456200198,0.39441421843537366,0.45616723187518127,0.49998713770548886,0.5380482334494886,0.5600570190274452,0.5080773448322549,1.033805551787313,1.4980938316064154,1.0877677711927551,1.4430617166220274,1.4358060848374217,1.058487476446548,0.9440181367771368,0.7361492963369576,0.7819594035109588,0.8784493197165069,0.701013058478441,0.6350764545229732,1.0740039553053442,0.8025063517635833,1.0858969147733628,0.9525552871653189,0.7287830755139025,0.9400394796890361,1.1500708405569724,0.932366210206266,0.8557925547413204,1.238169644353367,1.1691071383814866,0.9488225752953635,1.131057150598518,1.4213749405115206,1.1497591190973888,1.1072859860096798,0.8677702115225,1.133962723246479,0.7198767322469902,0.7516236877143657,0.8395868851310686,0.7854069953084694,1.7703701886461445,1.0645913511687393,1.4698370763327504,1.009503320760678,0.9738936882635357,1.087875339493057,0.9352739303435095,0.7325126791404276,0.6825362097531465,0.8218354656938545,0.7389708894719041,0.7809804058243847,0.6372032956506036,0.9311379688324507,0.8171846162177825,0.7580133467557408,0.9087490702093304,0.5796815032914908,0.7901651988299929,0.8949528519305467,1.0756847974592492,1.3530993226395298,1.4942674021863334,1.6513491712804462,1.3630790624772222,1.3790955355357377,1.6770626965841688,1.6243104840084854,1.4311173632857002,1.7055995654117955,1.880510242120917,1.6160333895606007,1.5685054987083649,1.7982650647154954,1.843474540595354,1.5211486940918562,1.4949136196216712,1.2608529481140058,1.2577194109752403,1.2486968760213848,1.0943808477640673,0.9692568558630164,0.9177723292808746,0.8609363920185719,0.7084754495471582,0.713469648581587,0.5818749025769345,0.5683580387076312,0.7062738050869978,0.6432617680860752,0.6550835856364041,0.7067116483904888,0.9625746460060738,0.8936371046755374,0.8955100289177106,1.3261115310007139,1.4873865966312023,1.0099532117025525,0.884266570791319,0.6733744808818234,0.7009119564765534,0.9199448844999115,0.8341495807114079,1.0324655977382708,0.9927480615050098,0.6778911157551875,0.6495288232584467,0.5170349557596721,0.5343787118471899,1.2272282537087171,0.5594293743540002,0.7401564729788209,1.787646242441487,0.6712932760457476,0.8777949489013168,1.1605960106864945,1.047623987514821,1.7529517463998225,1.5833020775007214,1.4360316515264058,1.4614769181071499,1.5680017630373895,2.5278474835010423],[1.1767281719518345,0.6629388238082321,0.5787265939719476,0.3846958388269056,0.4971279790951746,0.42256988892563085,0.39423380327696794,0.42052335193119667,0.4569696326995561,0.4277445644789494,0.4506151618128289,0.49879969735108776,0.48182001306630645,0.5219945009951757,0.6820815824206303,0.5805084189374345,0.5877326316685236,0.6001866576087364,0.6431429330259991,0.6194360457017586,0.6510655275044569,0.6782213611829184,0.7836240425456198,0.8882894155522872,0.7448877461410176,0.674837621214483,0.6163948259632456,0.5360960278812811,0.5559479919904685,0.5488131084960186,0.6310565806720891,0.5680609088603302,0.6610958414007682,0.6590905255234061,0.5794070954411826,0.5732808573092917,0.5426426452152879,0.5355078595714587,0.5414222223259513,0.5288922329135164,0.6370190029997731,0.624547556457718,0.5919665261825205,0.8421997502560957,1.1736661778179212,1.5911191641406421,1.7953070810206928,1.0990679009390485,2.3128536374546345,2.200607893484962,1.2091206888540085,1.5465507323043923,0.9167703507331109,1.0094173010952707,0.9538254331360247,0.6456103939394849,0.7155560339805488,0.721288143548242,0.7690370164707003,1.1235397446575066,0.7644292301520508,0.7468742986788464,0.7145203833876432,0.8198859805084533,0.7138931937168377,0.6697015857921373,0.8371252625145148,0.6897026188983192,0.7805418436069121,0.8135641085897917,0.833861712420123,1.0269623296938595,0.8819720329706437,1.0147612351322848,0.7550523041314319,1.241239708896883,0.6933978063413985,0.672234326743292,0.6163585464970196,0.6377517732132526,0.5642883385658755,0.5988732366364721,0.8333884219099308,0.5317343738535857,0.5137691815510852,0.5440371035395418,0.5632754617514465,0.5794620446360401,0.5840019712304265,0.6990070003234996,0.6694206306477871,0.8413837512669151,0.7839980656571733,0.7176921254474231,0.6659541562264566,0.7786920994296125,0.7506593404237404,0.6216712977803867,0.559872225532888,0.6460313204387185,0.5335297442535535,0.55038253229204,0.45609689595291236,0.4942241117017404,0.5172831572342509,0.5301014850476089,0.5462955906022983,0.5497291314263556,0.5345774764483089,0.6504500785984635,0.4882279960244412,0.45376733685846526,0.4216064078409579,0.47162218890072827,0.46748692371244244,0.48638667159978644,0.5402724269193149,0.8997515292482372,0.764216821028799,0.6050087076813765,0.6010567075939793,0.5617405802845296,0.5860231559835258,0.4581371529241062,0.45485600061386366,0.4833783649475423,0.4488519664832571,0.46030960211733096,0.4696060841539795,0.5592173211462275,0.6734729722073749,0.6065636101788542,0.607739682105416,0.6852670606467273,0.5992641893891669,0.672478377210257,0.6512820116973911,0.5462543908876026,1.0176581620891165,0.6739202448080319,1.2018058014795971,1.0516263006748645,0.6727591083991686,0.5690570775737209,0.5033852656312154,0.4994625586714247,0.4726808276699197,0.45118166938406745,0.4180014952056663,0.45906794959503305,0.5100955277950205,0.5675899820258383,0.7070990360806002,1.1910467196661225,1.1381452241238594,0.6066855376720053,0.48856163496782096,0.46026511277889925,0.4500791568798386,0.4606929867296279,0.48211561411849935,0.5017335393047657,0.49725736661538184,0.5120460805437335,0.5946016446983683,0.6922444112557872,0.648902352054549,0.8225876704980467,0.8256211572719139,0.828016260420111,0.6683414459164203,0.5958068553155697,0.54948199694514,0.506322801800627,0.4907267923804199,0.5018785465376688,0.5465546260774937,0.6666847297144547,0.5511304116222508,0.540072389245834,0.5079872617738805,0.5079808041426382,0.5797999353002595,0.6661288678463936,0.6903568736387168,0.7060228749519126,0.6498763983568611,1.1039959202934988,1.5683692952246926,1.193016045236854,1.6020806978346627,1.5811352235355534,1.2156748502374672,1.0924628970269972,0.9050300855984061,0.9517834960098993,0.975422610726179,0.8206544872092661,0.7640776956910353,1.1353376987404025,0.8151324445908009,1.057818481503648,0.9690270703638609,0.7506071179326461,0.888303580487579,1.1091060372312154,0.9128765494759589,0.8079330920355339,1.1502191498986631,1.1379666661115366,0.9193294989492004,1.0673844659990523,1.3690205638790605,1.141361707128491,1.0900604579485198,0.8730993982758084,1.0646147544921565,0.7568605866860927,0.7306836328247645,0.7801878256173671,0.7622375080277334,1.6385100266025485,1.0086147555767715,1.3721971750673028,0.9030706767664601,0.8557410093255879,0.9926644241697331,0.865823758967147,0.6773829411516794,0.6755963770217875,0.82930431528516,0.879901738263934,0.9016201108228431,0.7560358046563549,1.0028583112486658,1.016952373644265,0.9218007393158721,1.0435478571136156,0.7158449644044166,0.8197264533951388,0.9019830334981256,1.0310008536394721,1.2965718707716738,1.401982731053766,1.5795119124377912,1.2990795330341165,1.2855437692134912,1.586181631430125,1.5574900861248084,1.3398801047098827,1.58610988872613,1.7669227142676902,1.5171460617845678,1.445068790269157,1.669960862543224,1.7461443057594799,1.402709267685873,1.3567061078754878,1.1402307331805877,1.1185072861623757,1.124167884674587,0.9693691897321499,0.8514371805787649,0.8340086626136385,0.7763813691772204,0.650067249805727,0.6900549126914984,0.6028225335642073,0.6105938142092336,0.8271620445367167,0.7419616672128612,0.7781859730859938,0.8770909611265675,1.1101755318894588,1.0269835897704143,0.9699474487298765,1.4675211112967899,1.5604091598877645,1.067200201605041,0.9149069858164461,0.7050579153199605,0.7236663715979079,0.9046563288253061,0.8452414416022269,1.0979900204251807,1.03312422525748,0.7353478135377228,0.7337100412609983,0.6738840293443391,0.6280809965813641,1.2052218564726613,0.6495832690952976,0.7834811264667246,1.7625887885296512,0.7749872004657837,0.9208572505713544,1.2139550823827625,1.1605109797687387,1.6104181033881146,1.484999159268294,1.410495396414074,1.4600159733849012,1.5621402664542212,2.4587282732728712],[1.2710677018346608,0.630873630261562,0.6014672434558834,0.3223672152963309,0.46904388266334535,0.412065820690893,0.42549222028084105,0.4991304265359051,0.5028181481903231,0.561213803910931,0.6381754316501708,0.6837126496104623,0.635030981168449,0.6810442724217726,0.8669568600446563,0.7549429852764489,0.6944993271945309,0.6863204377464014,0.6654731784881381,0.6495554007026759,0.6650203460314872,0.685631076645783,0.8008149741312617,0.9350592804543261,0.7233855051006862,0.6774066071004563,0.642144529069489,0.5622697180881325,0.6417388804067247,0.6921777378168347,0.7845216704276777,0.7478283842928524,0.8357450182527453,0.8262651628678963,0.7251896985716196,0.6893795764507067,0.673450124403302,0.6051033064368608,0.5887120373106707,0.5800804526843037,0.6604535494537805,0.6467282836548279,0.6334313149163449,0.8559579669090662,1.1898001059302779,1.5567318089064024,1.7228830434052569,1.1079289745700456,2.2383299507697925,2.0409975055938356,1.2294834838290858,1.4593534104905703,0.9393192471151336,1.0650499220926029,0.9520238901501485,0.692315713601857,0.7413336260397398,0.7477383745619128,0.7949663743884078,1.1340357810354675,0.8045715731549374,0.7644475098263461,0.7616250356651203,0.846016971944498,0.7414114637336424,0.7107987476792869,0.8534779033980828,0.7417348796470224,0.8102755841384613,0.8778905452150535,0.8415563008683838,1.0299115790225841,0.9285974580826324,1.0327552156881241,0.8301861430811954,1.3114702897029238,0.7614526089048039,0.783336153063088,0.7173478758273513,0.7141821500835658,0.6640369520632577,0.6698104047167802,0.8898216658961393,0.6291591232124867,0.6158208886904106,0.6270605542651915,0.6260696242532425,0.694576408862575,0.6759152592630208,0.8069238449977648,0.7983266882595739,0.9716877519105257,0.9279995486688897,0.9073828364053821,0.8560624326311469,0.977657036729347,0.960723809999382,0.8232035631350932,0.7585852488632002,0.8283662665094582,0.7076861856931289,0.667087098234426,0.6302011190921303,0.6115486014867583,0.58396640493322,0.5768695567532136,0.5833218674528757,0.5451996622906047,0.5063235289836149,0.6836750393745121,0.46974636135736286,0.485079726428774,0.49092399363916867,0.5173868860834275,0.5502653746141699,0.5272136816222271,0.5693420022127959,0.7202051886268191,0.7584633804502827,0.6549964052280696,0.6345252754444344,0.6418124427564929,0.5962359589381642,0.4729985673608502,0.47510694684928756,0.447470386606104,0.45074228361740815,0.47455074445222095,0.4679687477425677,0.5861933230395642,0.6964862642406897,0.6051948810387962,0.6379292608350233,0.7215462916839906,0.6477229751372505,0.6835146459527788,0.6227937370740158,0.5796708079066059,0.941322433926812,0.6955224860408067,1.4978798505846636,1.1475962400045192,0.6684329754725444,0.6388857710223029,0.5276384400240368,0.5513815573781138,0.5347532894307084,0.5547178169194495,0.5268500984052439,0.5732843104210608,0.5841039970493656,0.6899233679332276,0.795466858993553,1.3069509083133424,1.2767638981379794,0.7431804816891341,0.6421342008037173,0.5960215945187453,0.6069610453402636,0.5670943002837036,0.5564242598135138,0.576520654541264,0.533141982252274,0.5551722623349994,0.6034386980002581,0.7368168345179498,0.6715081277197578,0.8282582807074987,0.8088629136242319,0.8311870741578159,0.6927466519774503,0.6302186547070144,0.5908804595953447,0.5726661515914286,0.5685154175199615,0.5770903588930408,0.6470798643238278,0.753462411494912,0.6415212883984831,0.6225394174118101,0.5861682453664213,0.5802271916701485,0.6389335762598782,0.7112496733909452,0.7475912398789285,0.7315169230489568,0.6489368253968625,1.181033364401325,1.6092085027402871,1.195108112522648,1.6223587030422195,1.650599882380916,1.2027880892553378,1.0808754061381467,0.90304657417967,0.9249056051480452,0.9681166736361715,0.810632588167145,0.732640752767598,1.1110406286593404,0.8146134549678302,1.084041115422836,0.9665096175723996,0.726850943893382,0.8910226222993216,1.108322395520449,0.8935261679070204,0.8118300319818315,1.1605018319928184,1.1152184297281114,0.8959183199316585,1.0579144879096554,1.3598610308290284,1.1210166866797393,1.0639846953959433,0.8552053255731512,1.0543764174588623,0.7333995495818827,0.7135639783729353,0.7614368275750197,0.7306445749924366,1.7412686850464876,1.0263468371160707,1.3399921577559277,0.9215138448189097,0.8930020550957011,1.0343407164597413,0.9015134727651009,0.6867696765561275,0.6830679356880369,0.8052082578046098,0.8273561638163212,0.8240528832650171,0.6993049245659991,1.024140701488394,0.9745679292445555,0.8859859958459331,1.0394440119348036,0.6754982070356486,0.7978151116421229,0.9024664645610646,1.0434922790161414,1.3343507980286553,1.4695031338931575,1.6664963619451099,1.3295523371965239,1.3336336361081533,1.66915509709906,1.6076023053033852,1.3756303555460458,1.6510219752380912,1.8344991572676792,1.5528289639891906,1.496080754373168,1.7364298225771744,1.7889042095220988,1.4444646936474275,1.4047835116591372,1.1607880235138093,1.1527770706401093,1.1584672301714598,0.9992737961674285,0.8586529550836445,0.8302855136474736,0.7836538733916978,0.6300328328435623,0.6629663093375922,0.5750962772100955,0.5852745612410093,0.7621517320705761,0.7089309774099665,0.7429924723309532,0.8413196513153157,1.05161601642874,1.0044107979428223,0.9456554851091713,1.4586911686521278,1.555388876599248,1.0378815519379432,0.9011992550280558,0.6724246753150156,0.6851091068250987,0.9017993197164574,0.8256485297777235,1.0637259963841412,0.9775041384093558,0.692307991035972,0.7013480744197814,0.620838555809938,0.6397009363503748,1.2086065576038647,0.5793086757849908,0.7052751341050516,1.6323174919347718,0.6678490061044071,0.8445478789041175,1.124710873695665,1.1156267696675597,1.6940226597786885,1.6055595774181453,1.5523663849478369,1.4182324026618565,1.9320194724748654,2.9787083878181795],[1.2793009410148495,0.723817132748675,0.7629735768642556,0.5730997477991046,0.6636346016419802,0.5402887017074147,0.5535024856776994,0.5686630874411946,0.5278692240916981,0.6278761961945383,0.685596435264485,0.7170246134828762,0.7831663093311918,0.8086555923586635,1.0682377207258107,0.9869659014162231,0.9717036215646885,1.0475154497023846,1.0895287999218068,1.0431469894705294,1.0936702711450923,1.0917204253159547,1.2136123226010624,1.2715364004631446,1.1018440059629535,1.077483414421129,1.0171449501413043,0.9498246219883506,0.992392125419508,0.9659680233335906,1.09578865285764,0.9771955583559501,1.077204171985097,1.135294578989883,1.03365589017553,1.027949637346316,0.9723016073225681,0.9789422969277491,0.9597431176494768,0.9570140716625672,1.0017694449167105,1.0486753876993906,1.0486165937061303,1.1920537912103453,1.4967208759544715,1.7235173758506313,1.9681488278884367,1.412681447139419,2.250234197608682,2.105548541469599,1.4811445133097214,1.6313969860879387,1.2580198066012687,1.42399381940416,1.220571243639206,1.0729098418575744,1.1042000076097045,1.0952531461985924,1.1163827816083376,1.3925710868072432,1.1628647295236134,1.1429563547761683,1.1531070101325331,1.247252146976629,1.1438447421165348,1.1147293384714143,1.2344067932979768,1.1465282147172564,1.208171247857012,1.2661727571231098,1.234529120802878,1.3789189948912612,1.3298288278000396,1.4380896358352924,1.215713588838228,1.6592459324588764,1.1588939484044616,1.1860240718629467,1.1043288982488408,1.072284115873661,1.0004902627736194,0.9930422644547301,1.1348268116260407,0.9307521048802928,0.9499869064433717,0.9483102415235893,0.9898544785565683,1.0104172624218082,1.0362130813891068,1.1413511786737154,1.1730425433837748,1.3660909316283432,1.2962646520747902,1.2357796011736664,1.126080632374507,1.2421491455273752,1.14769407372865,0.9935216286119168,0.8794320302282808,0.9123788589768637,0.8609716145601047,0.7874939080564245,0.8422787574117551,0.7675684024866162,0.7879070015680184,0.7667015373879355,0.7536054558265903,0.772696817596735,0.7056350744622412,0.7880362763579286,0.6354056174663594,0.6862062785100229,0.6492133155653049,0.7420411133991563,0.772253790279642,0.8081836653812581,0.902566762219166,1.0182993907840614,1.2168463836216108,1.0555060441063047,1.0324916546437382,0.9061842295804929,0.8809343343210594,0.7220761188222362,0.6747815768563457,0.7017251534317075,0.6513529995466593,0.7122190720997141,0.7102216696673387,0.819790108417348,0.8862847296339008,0.8214755473247994,0.8960284638126614,0.9404430971241183,0.9011798005298116,0.9375767011312609,0.8364772812709933,0.7737968647582272,0.946426385141238,0.9459603945510732,1.5385582440017105,1.4093395011745677,0.9789879980194762,0.9598419452010333,0.9046867932946272,0.8796251821885998,0.8586464855293432,0.8125227810002337,0.7391295453962863,0.7087005950161006,0.677707173312558,0.7214762544983206,0.8139395477895129,1.3256037880065072,1.3102847193831155,0.7912391293558599,0.7320905452451005,0.70910955089354,0.794546722086238,0.7533879503431062,0.8102791972462188,0.859656642326128,0.8426450990641837,0.8968698409004555,0.9253483767601187,1.0607339242397789,1.0110482163989543,1.1597632732473961,1.1114331221140474,1.0979899885505389,0.9761637604909479,0.9286241653072077,0.9056105401382896,0.8734280397871305,0.855223263704521,0.8174487934634912,0.8753868367990909,0.9550247859872605,0.8994465286562523,0.880904473977308,0.8939185552077566,0.8407515643485096,0.9111657283774776,0.9812291839116184,1.0206068535189596,1.0209938076121026,0.9686258527101794,1.4132374887366232,1.7522430467878303,1.3626317564609929,1.834735323715797,1.8097507691841934,1.4191495056746646,1.2901739568266555,1.141095750626986,1.1734780721851632,1.1778268889139807,1.0148197219571449,0.9517531503300753,1.2160334933068198,0.9284058421453215,1.140611472300945,1.0582561590951103,0.8699395652624163,0.9638529357540923,1.1598925187683042,1.0154693440576967,0.9172149367308686,1.194056101304238,1.1895877868625697,0.99910408716545,1.1262819377539977,1.4162908155322493,1.2143275480760267,1.1678498405409126,0.9945136953228222,1.1316856452809072,0.9051894789894409,0.8434464505218174,0.8858663550206485,0.876665104293019,1.6929988365279172,1.114651822989831,1.373162679463672,0.9538449791309166,0.9230938525873074,1.0554747139880318,0.9622577059605845,0.8259232095914597,0.8207894526218389,0.9436297912821944,1.0556344026567408,1.0516017565558493,0.9347827580033169,1.198499529881701,1.2649760603202176,1.1422871525936173,1.2674437812597785,0.9165340342084536,0.938598571226214,1.002363660784028,1.0978930652632937,1.3705483371047622,1.4726487902855634,1.6655202886396572,1.3574733876079923,1.347055398612896,1.6630698569919222,1.6146930872363634,1.3800311963717289,1.637976616539361,1.818830210761647,1.562236584840985,1.4959222685898084,1.7389565542256626,1.8100170151502857,1.4594751049784218,1.4122872514740743,1.1755312138146752,1.1555137937089004,1.1604216219256676,1.0230431965603592,0.9000250484469331,0.8963589363996475,0.8640015666949206,0.7595021517918211,0.7985648443563458,0.762996516220183,0.8023519533466074,0.9705169256950198,0.9138524999193871,0.9975230255036382,1.1082047537704767,1.2931154643020297,1.225444919736554,1.1199637366403594,1.6144489114592822,1.6489371513119466,1.199587394113161,1.0479686453903996,0.8456966680552761,0.8469603793769422,1.0193206581872336,0.9831970879503137,1.2355161289403307,1.1257419201814938,0.896155749560733,0.8810058289980669,0.8421391029406136,0.7989960537716635,1.259748308867445,0.7300933009974729,0.8172160974702013,1.7409829584700978,0.7976145599953224,0.9133509925358915,1.1962906549310346,1.1763646721446224,1.7385945719934892,1.6262428418832873,1.5418936420989235,1.4514028464691717,1.9095015194195153,3.049972465483513],[1.303014963013718,0.9017203625950176,1.0057293257362134,0.8062223580655802,0.9920360366798028,0.8685857309504792,0.9658293908526983,1.1131151072572962,1.0649682151176958,1.258487148189899,1.416876651647558,1.4949275381186817,1.5671156452222945,1.5646766861214116,1.9641087955340253,1.897645763584379,1.7873139185422584,1.8777391456745214,1.7326634463262027,1.704134225634802,1.6497443304553936,1.5946087220228569,1.5766970294346585,1.5270641992276603,1.4699356531330248,1.5066967970131153,1.5567333225572273,1.5691987488187151,1.7563242637151375,1.8010919132831935,2.029580185203723,1.8942870766548394,2.042101448179662,2.066675694543007,1.9419920510191553,1.871708371314136,1.810623160840548,1.6540801154779317,1.5561289676074685,1.5076505641023923,1.4480212633702219,1.526427151091533,1.5448370979678177,1.5259234245982818,1.6367388595533827,1.855579821706663,1.9982577808050945,1.6291090774018697,2.4391561878631953,2.2532609104994146,1.7951827670216127,1.9289489655801355,1.5774007127696814,1.7992128312700695,1.7659166555508639,1.633595055824588,1.581806371401459,1.710715890144157,1.7308951096162244,1.8640361679866553,1.7154118604904964,1.7694284044215527,1.8438265917621708,1.8014236060678128,1.6693789827405783,1.7711347463312577,1.8636476404411013,1.8969693359693995,1.90996352835493,2.1154387277305484,2.0267113659345086,2.0800135878517714,2.126066216298416,2.056228200293384,2.0669185876457505,2.355398571256322,1.9276243095566938,2.013053162761621,1.9002440997904462,1.8119759694301316,1.7826426181637594,1.6937424435273694,1.7931452877407508,1.6182204313334647,1.5717171862020753,1.650261980071857,1.6863872792263612,1.8352555416302123,1.839377339876163,2.032110595152867,2.0497140828971183,2.1898777272917584,2.209944477255636,2.184449962989753,2.0941041484767897,2.1854465946234916,2.0940150649615807,1.9635386070846843,1.804169032351221,1.771677086233406,1.7499585570725362,1.5601851477340454,1.638562240421168,1.4753749456249887,1.4150944348434693,1.3355885737028306,1.3148249073604905,1.203010200868887,1.1232950693231838,1.2896647437871323,1.1154154867311614,1.200686183559701,1.1796362725096503,1.2071852256440676,1.3433311384803797,1.2617998599214992,1.4481939915467992,1.343872038239257,1.6549019771873146,1.7727950900229095,1.7085447212261815,1.5255543958662676,1.2176628258608302,1.1135292595542023,1.039990415045757,1.096711372965944,1.0209779178731853,1.139243582257046,1.1514482465914249,1.2605637814558321,1.2476759064402185,1.1989552521436275,1.2446784249992608,1.346181739980676,1.2567893544022037,1.2809435527482336,1.1425300778761331,1.173082939362385,1.275833081489932,1.3438398496582118,1.8325727448291576,1.5909454179915867,1.3009344053653684,1.3329961454164272,1.3567069085766008,1.48777401998604,1.4146622607650587,1.4649290522586138,1.383125955655407,1.3306860228341046,1.2950894325271665,1.3733258805810187,1.4850802727952743,1.808895973142028,1.9421901603959704,1.5644274768083373,1.5357525749822367,1.4542135870664357,1.5891524712871652,1.4111941873568274,1.3655480254514818,1.5070706692821523,1.3304322725042073,1.4354845275654813,1.3073223577373727,1.351060081830048,1.3153659959052169,1.3767315150414747,1.3784644269978685,1.393293248278713,1.302278071911764,1.2789100165062477,1.3154668173124215,1.3772989787828382,1.4756955579296043,1.4996678761792546,1.6104211331998066,1.660396471320066,1.57103800866715,1.5119277090881234,1.443447940099745,1.3620417328080479,1.345503996767563,1.3795125258588312,1.377610770221194,1.416590857347931,1.3930695078905009,1.6978393237856246,1.982537149802063,1.6479006777447875,2.0399801246670743,2.1688656732104112,1.6333842665388296,1.4986238811439938,1.3978399053979627,1.4128742687922065,1.42570087485442,1.3644780770649936,1.2842267617045364,1.453964700848509,1.250361298140347,1.43873746634796,1.3518524053193,1.172830885228596,1.2519827225793638,1.3995748847272436,1.2293100626913889,1.1788409905963582,1.40440615336616,1.3437104628630867,1.164385245606507,1.2736738093136575,1.5124024084990004,1.3047028828010954,1.257479086139155,1.1615417417103333,1.2734200708061734,1.1548435814398814,1.0995699034799769,1.0944448190700475,1.1111422853556396,1.8878057921194138,1.3303444937507447,1.4608158434391105,1.268413775091944,1.2459896400953998,1.349908885403401,1.3243184297502635,1.1820390283272362,1.1624228073940608,1.2908158892715595,1.3527942376092212,1.3396029810996655,1.2483390918509387,1.4484113851981348,1.5306157741407924,1.4268328187266748,1.4790282411903672,1.2280025719466208,1.2880943072812436,1.3355008101682098,1.4048759619813516,1.677835879516599,1.7980611264957602,1.9842744284775988,1.6521568855051703,1.6408048891887623,1.9373714920733727,1.8804754125831522,1.6300555076243302,1.8628344353995312,2.025694962597708,1.7401916186998965,1.6824210677354536,1.8970352830011554,1.9307534508150836,1.5985073685951747,1.5728617551584827,1.3801113118503108,1.4066534310202783,1.4351764943647023,1.331450881515463,1.1839822610088482,1.1821482402568468,1.1958792311467226,1.1002084413705286,1.1124068792656783,1.0975977788390148,1.129966770805539,1.274012346673395,1.2199575367524353,1.2411774064422518,1.368015121376756,1.48853600798343,1.4468930038843626,1.379604401758023,1.8961258079436403,1.9385723968711284,1.4326044364165507,1.3196171393905989,1.1321033333727395,1.084690668265661,1.2766547015962133,1.2439950299069442,1.4478507107661955,1.3677392996982518,1.1641225401163802,1.1674812875580052,1.165302688036469,1.1448588393122738,1.486305795263193,1.103174878313703,1.1442631413989235,1.732897057966202,1.1066730829531932,1.1541164560527821,1.3575537160552025,1.4049761372170306,1.7681335009301695,1.7283063324393115,1.7752451009558787,1.6416176110842071,2.229590448042671,3.2694614358761003],[1.495267597005292,0.8713405920568984,0.8575498937509805,0.6290985474110085,0.8145588638458956,0.7933670472329682,0.8279241962706372,0.9308745812006344,0.9116793262408341,0.9888446507810206,1.1152042345242033,1.183481996977889,1.115979971018721,1.1220441329651136,1.3631180326066146,1.277976094164693,1.1376475379024478,1.090029896937445,0.9701325528535689,0.9895934787463445,0.9645098946500307,0.972927434050527,1.0669161753800886,1.239436682025924,0.9832165365179021,0.9768318966828343,0.9806883117734144,0.9356284457615206,1.061352112417601,1.167895567280125,1.2924802028667972,1.2798492201324285,1.4019187562046953,1.3469869478751846,1.2413956755531244,1.1494629632018487,1.1789697505894354,1.0302893264893243,0.9939692160956219,0.971148612557485,0.9873845948315615,0.9524980892047646,0.957032304240784,1.0717033038736516,1.4140211413952533,1.6796074386418323,1.8298852492558948,1.338302549418273,2.1974401641696155,1.9434130087588959,1.429485755286403,1.5436365971863155,1.1465832809733711,1.3259025214030933,1.2206022007272743,1.0296378983328685,1.0160571190010588,1.0815845812205174,1.1391560561089806,1.3552714907057204,1.055695171959364,1.0547331098921127,1.1233266396060533,1.1208531905879409,1.0009946638658134,1.0289426569213023,1.1142055067070489,1.069388317409935,1.1000597655091013,1.1957192545680453,1.083486546250127,1.184247276655282,1.2111797610830846,1.262852247837129,1.181817625078792,1.6159355687191896,1.1325892133582562,1.2170419415831464,1.1498498893411597,1.1002984142419354,1.114609579772613,1.071034957364165,1.268909406963573,1.0643343216564072,1.0371056654391917,1.0608128276115794,1.0502069192589634,1.1777053231428618,1.0927127059934691,1.26279079438858,1.2489356435484895,1.3868217148878668,1.4225154495268624,1.48892583578084,1.4256262054519895,1.5851289804821211,1.5062095496412062,1.39594325001732,1.3317715029173511,1.4418941909028418,1.2699108811645126,1.2142205532682089,1.1765359015853087,1.1016553770969617,1.0280334861645688,0.9959439986875004,1.0153023424291867,0.9018935439073577,0.8530958909689637,1.0334428674229417,0.872189667549334,0.9117195996809543,0.907990758372954,0.8797086037658378,0.9230340115627234,0.868762061131342,0.9308660695344982,0.98868437736591,1.079881991571864,1.036929330382455,0.9866423623101434,0.9578005704768917,0.8887385834610414,0.7892598447090061,0.7992878774074029,0.7598629414774667,0.7925320250480121,0.845991342485061,0.8589722619291459,0.9483134267286684,0.9832528582260673,0.9122791660725952,0.9443306137647639,1.0634403674938315,0.9465494520109565,0.9618894921738896,0.8692586410529399,0.9377007349680432,1.115426353524853,1.0177121230273531,1.7803686490929733,1.421059111065473,1.0059388613043692,1.0254307480368283,0.9142512997024006,0.9787447399939684,0.9479292819760968,1.010813046503482,0.9863411653627877,1.0101226793442504,1.0170529595653799,1.1773549951942068,1.2977892477731006,1.7680734159939608,1.7568308654949336,1.2774336720765733,1.169653487639284,1.0987465580531313,1.1265094628132577,1.0241087972319696,0.9887681059342458,1.0100420498067557,0.9226736404096302,0.9500735899285603,0.9384312930420001,1.0605938913296922,1.0059509896129493,1.1073411875338592,1.079877013091465,1.1099414277721698,1.010994118157379,0.9749916947743701,0.9461735114364833,0.9773203952324817,1.008361766730839,1.043624694709708,1.113094438276609,1.224740543991111,1.0644778706095153,1.069859057481583,0.9966695724206958,0.9817471816624498,0.9924125820595168,1.0450369660108416,1.0697844174295392,1.053455311360369,0.9749003330137722,1.4319025395651115,1.7682781979362199,1.3827961345094086,1.8027499694670894,1.8914191557977802,1.3773672581509964,1.2355295608220953,1.126328950626185,1.1284221662850753,1.180403487088167,1.0759206025377288,1.008846838237896,1.3211349801264884,1.1266797628811467,1.4029609428104253,1.2643362616886156,1.0427773899988846,1.2235481433819877,1.4080977080310875,1.1525009399478887,1.1115793340900038,1.463656735293477,1.3621008549555182,1.1506157091592732,1.3208979197307387,1.599278180627644,1.3141681385847994,1.2590327709555038,1.0777200040004178,1.2763384573803727,0.9274943009387797,0.9479382561145067,1.0251765936004547,1.0025197970882553,1.8540467761178108,1.2381409591436952,1.555842535615517,1.2165817822356886,1.2497892660040217,1.3701883788514824,1.255300980893429,1.038560643017457,1.0238705513005648,1.1287795189878351,1.0393665222317,1.026518632258504,0.9660800446187081,1.2658601532087586,1.1599987533944545,1.0887814477143967,1.2100835717106029,0.9373837315936691,1.0993988910551247,1.2199515854263197,1.3735729658367888,1.671330874148862,1.856188216302026,2.024277522590565,1.6673357611709658,1.7005315751943397,2.022672928214647,1.940406940007612,1.7180067132427093,2.0091128052438525,2.1761716942561122,1.8587849709196234,1.8274813626099307,2.072815439372983,2.085132129683578,1.743983153994109,1.7374305576764126,1.5016323420707747,1.5148826752756102,1.5229222709517687,1.3661616525863454,1.209856715157265,1.1613445726242966,1.125615031405663,0.9676069588791133,0.9670559828348821,0.8878743804392563,0.8843720557130395,0.964162560429057,0.9278986175409907,0.9573636870028722,1.04428600513857,1.2041225782885367,1.159378749683424,1.0957000193601591,1.558453509763347,1.6188880571466475,1.1435122307144108,1.034116623446642,0.9089122498042937,0.9327959070822871,1.0339913980187467,0.9642890105059498,1.1339561219701189,1.1180548721483394,0.9287943405596182,0.9753944846224643,0.9086941051953658,0.9531426861980888,1.486585163620727,0.9586202877538277,1.0707461071819095,1.7089962057660353,1.0172507632303027,1.135758489462343,1.3605821353276533,1.3024634645635216,1.88481551032625,1.9171422324890985,1.8544897290345652,1.7457410924379064,2.2151044378897695,3.5658239832501746],[1.4098710782126007,0.6709148917916816,0.5557958254120902,0.3204200916589317,0.47652412334506167,0.3639046120032604,0.34286959485009916,0.3955776895702965,0.3852935546015043,0.43283301959215154,0.49972002350783423,0.5758662268058543,0.5379397570964967,0.5609628103963159,0.8193278608805407,0.7375197092608047,0.6952749981382201,0.741376602426298,0.7873456516595535,0.7623008086375532,0.8277189314915894,0.8367530117704566,0.9946960925727013,1.1599504549789952,0.8687832139984277,0.8467199783985477,0.7683342139049264,0.6498063914385512,0.6786775806842565,0.6940844455930367,0.8329795157521765,0.740277046071513,0.9051612736326442,0.8944637318122164,0.7752946662054792,0.7528546763527262,0.7051856833009724,0.6902387179394855,0.673994053466774,0.6711296629884395,0.7697657714307726,0.7720443744223893,0.7648336603931035,0.9653401560716692,1.3338926966567195,1.6202855716713158,1.788835718306491,1.2359396262713838,2.1592388022162106,1.9309098180175823,1.321602770880857,1.4287822852833298,0.9929052063741864,1.1524080968930328,1.00003753270054,0.8098427728320605,0.856374497686151,0.842357758388875,0.9069682443267548,1.2494884470224095,0.9155982748919904,0.8993428192498153,0.889148374117953,1.0269850570609258,0.8857766488312004,0.8348201479846322,0.9934171109641773,0.8538224415883173,0.9759188755234148,0.9428893227932263,0.947845345534429,1.1383685030362614,1.0194534742343866,1.1941623536236734,0.9206613974345911,1.4403863420035241,0.8838048576159958,0.9070711988220562,0.8282019948897636,0.8057020054942776,0.7429457123153267,0.7302690227841802,0.9105617624806128,0.6504506463886939,0.6631400671273233,0.6638554918842522,0.7047004048035683,0.7453840242110561,0.7529401778563888,0.8857760712354511,0.8927111409563929,1.0836336311384323,1.029777469107421,1.0083302237898217,0.895965481443881,1.0613754884521038,0.9425331313387761,0.8243602668343001,0.7291856655523481,0.8733571514929449,0.6771211122610932,0.6348664097001301,0.5864101054486492,0.5482000415650345,0.5200466029517625,0.5090790547593625,0.5444534177760085,0.4783876362378356,0.44833775194873504,0.6401407839818658,0.40352233058598486,0.4317771318121226,0.4100522364404374,0.4884367926836695,0.49965999711078835,0.5533391289831351,0.6387875422028111,0.8079238057183715,0.939376036951638,0.783573868397163,0.7424274541539562,0.649609919330381,0.645363961988516,0.4536976463470372,0.4252819489443367,0.4417420606468001,0.4182341147915881,0.45034204223760427,0.44706204137669564,0.5545801580714901,0.7223726107588623,0.6091340117890112,0.6586360607347325,0.7299265506107554,0.6713302620551785,0.6835948473745037,0.6402194717487231,0.6391250304315127,0.9560506405599309,0.7425567608066118,1.593685553301196,1.2980966762631951,0.818673011855717,0.7908100219714972,0.6634557401562516,0.6314954342191922,0.5826826664287464,0.5386179475762544,0.4713720956916993,0.4676211615352768,0.480972300747433,0.6360149844854752,0.7937551161273316,1.4255883694385874,1.3284225783587722,0.7230763135088399,0.5678585508055549,0.5106448661973905,0.5453118981863592,0.4996367498303214,0.5463878352121073,0.5936995823101177,0.6032874291514468,0.6247558904709606,0.7005887082998449,0.8469858874746015,0.7770257514283946,0.9419266141360912,0.8918643271961055,0.910656050553931,0.7645675384859885,0.7030753248998711,0.6508106077040143,0.6080809651154353,0.5838938416162535,0.5574647916003497,0.6244001978502562,0.788965439318021,0.6395378503482959,0.6364698014760585,0.617267131121724,0.5653341233390072,0.644137800317734,0.7441108310098644,0.7907557156521985,0.7902228839390493,0.7193453661700686,1.269254136675842,1.6701244865604634,1.2444518640732536,1.689158683138151,1.7085962251687596,1.2312281839569628,1.0972228067150294,0.9228591646840162,0.9517485935934914,0.9990993227682036,0.8201061021320156,0.7403437929287062,1.1307338742869923,0.8491058719487908,1.1336903672792198,0.99768356005371,0.7589763301121547,0.9516022381847246,1.1705612650377368,0.9415927450182758,0.8568614550611471,1.254280719433153,1.1777251570962854,0.9539942153532714,1.1466084947322424,1.4535530186070353,1.171711440265388,1.1247703933423527,0.896631008889223,1.1401441642948016,0.7167635983578938,0.7272187112722993,0.8110965917484984,0.7532094253176852,1.7445030178167091,1.0309366114410432,1.4306174514148393,0.9824699626728628,0.9704052230301023,1.1068056679050067,0.9604094639482074,0.7130277397201958,0.7127432549241336,0.8497069302616982,0.8197964115850731,0.820599103997728,0.7066925715938773,1.0487902231763986,0.9643055512997918,0.875907937135597,1.050519273922105,0.6795356782245197,0.8173457604417953,0.9351514318252797,1.1114563389800227,1.4057122992686741,1.5799366304350557,1.7512309576878933,1.4061897841213462,1.4390155125025166,1.7722177901506608,1.6967790188295424,1.472809464455177,1.780790634736877,1.9670215656627574,1.66299048419142,1.6275076905202916,1.8952000654531,1.920475055004557,1.5802756963974183,1.5559099978320041,1.2944760702717555,1.2831950980713125,1.2734791789520428,1.0996178312943852,0.9588364976859131,0.9042988735627034,0.8407452024189994,0.6624542509481394,0.675330079524935,0.5812525201094676,0.5786511721501504,0.7307740489504174,0.6811272532640354,0.7307206669926265,0.8103397226495765,1.038448451331181,0.9808004407521823,0.9191218261276685,1.4246797670797169,1.507410350959497,1.0132467810311316,0.8593929562647136,0.6707054932696059,0.6994920705030827,0.8729595488264992,0.802341358669001,1.0346120264816454,0.9754091021260098,0.7040077961493155,0.7171905100932287,0.6200728859056185,0.654849035193195,1.2597895218354345,0.5609369888233132,0.7108560945357976,1.6715546624156759,0.6354573447240456,0.8475820337589146,1.1256566569210125,1.0118917574595916,1.8420258981808835,1.796514507418694,1.609947994455579,1.5238371828744666,1.8832971961851357,3.3486439914215222],[1.502756108868473,0.7129140597635762,0.5299801833434095,0.3025940878605371,0.4257303470912906,0.339554159923654,0.2822092390163262,0.31871373058864855,0.3204952266062715,0.3190926013868014,0.3577669524521583,0.4474159696610775,0.36840322282385024,0.40470969771692245,0.6069991040175331,0.5199912788509962,0.5163342859791755,0.5524377716992044,0.6162207077858098,0.5911930600204878,0.6590836252809068,0.6732875748386439,0.8425282290669877,1.0154545449762649,0.7279503774513715,0.7016011742107945,0.6177159575285665,0.49903359486676946,0.49254859889609326,0.4978895875292923,0.6006096565043609,0.5417360298165931,0.698772023120018,0.6530168109513813,0.5452285704458077,0.5418354987391675,0.48766637900361265,0.5128680432471499,0.500607553571779,0.49164926506214257,0.6228343621498562,0.6218693170951491,0.6065064237508118,0.8182872247428772,1.2303227125130771,1.5474090968461096,1.6956293241412912,1.07998520617355,2.172864283743283,1.9163804578866779,1.1739846545486954,1.3738879542927613,0.89454443844641,1.012372959034573,0.8992109686298019,0.6197478555258433,0.6842696164649407,0.6499982792111331,0.7334184645676795,1.075572025449269,0.7574942268462362,0.7323890987582452,0.6897311391487919,0.8687417332385239,0.7127333737841786,0.6536144548908986,0.8439489934598357,0.6670295179976556,0.8474275047912085,0.7507723934862148,0.8312150014792085,1.0805179532159819,0.8555943743502844,1.0429345346320582,0.7235050855620665,1.2569391980562514,0.6835819591552366,0.6670300623928858,0.6057075726303597,0.5956830058780578,0.5470879419073416,0.5619892862387961,0.7607384291703121,0.5023055593781304,0.49084693149947756,0.483270045759271,0.5263982577841323,0.5589280527081031,0.547246309052669,0.6656342824364583,0.6552791994915586,0.8323976425648454,0.7562732783507583,0.7243028406771147,0.652256770763088,0.787892036792089,0.7196219518036777,0.6248582966911707,0.5578802431839541,0.7454588697654088,0.5063154970599436,0.5261748306245662,0.4120232973067434,0.42520968271502035,0.39768794682587605,0.4012914749593633,0.47493468747019385,0.40399914871436243,0.39846091101796055,0.5849005810487007,0.36072233927395875,0.3139895066734664,0.31490402296106274,0.38568961220385667,0.3903368415578958,0.4546569062624196,0.5279221306385944,0.6977690938524034,0.7536988514502989,0.6321517882222206,0.6004538772249485,0.5508736496399927,0.5796962923971205,0.37433029158402303,0.3493677517100476,0.37012282598894813,0.3496778975689663,0.3473062391157163,0.3392976586801605,0.44125834233409483,0.616746803128071,0.5011272820740419,0.5179190572812389,0.643855262374011,0.5345566781112979,0.5701270398843372,0.5662042640598255,0.5313247263264026,0.9511315584978577,0.599590170163185,1.5587816653419537,1.1676876200762454,0.6909630502257752,0.6581190263503017,0.5187508655252726,0.47656131128787604,0.43522939300824887,0.3945662372351404,0.34663098205885623,0.3620268584348578,0.4081003977469456,0.5608208637905139,0.7658614330263673,1.3902697283885568,1.2594861109320612,0.6246790533259636,0.4194649423942394,0.3914073913283771,0.3761011161508336,0.37724838406287814,0.42016374077790186,0.44706573732927035,0.4543476246409068,0.46220859349238924,0.55047981094205,0.7034911575187192,0.6278760893519469,0.7939656385011291,0.7640194112113496,0.7982588696174334,0.6328044166722674,0.5650841346866585,0.5130248116874843,0.46236047376729195,0.417728248945225,0.3996854396188062,0.4648878381453067,0.6603570262325679,0.4936619524221352,0.4926754164320514,0.466582623378279,0.4279973968367658,0.5054357243745731,0.5939728413689435,0.6522805283915261,0.6436197636582407,0.5785027628361389,1.136520623137235,1.5814107911349193,1.1251611112790716,1.5432785408301277,1.5586722170678218,1.0961527111055547,0.971801694589857,0.785513758561045,0.8159380073855491,0.9072440906727951,0.7186069460163843,0.6531618778641843,1.0669055400656766,0.81479245870955,1.119520660861743,0.9646713714226426,0.7324466879700199,0.9637313978353242,1.176541156051847,0.9350277374240271,0.869921186393975,1.2904328379881136,1.1937181349474508,0.9759993072024099,1.1839728277320825,1.482226922734731,1.1834207498466471,1.143607336985649,0.9033367064055637,1.1748736083638736,0.7216527205980379,0.7483931123833876,0.8577246847387686,0.7844483091420915,1.7927226207891083,1.055936188503803,1.5051763870060602,1.0270390234721347,1.0123836126957493,1.1315312813183447,0.9798296573797267,0.7248507591628578,0.6943919846804553,0.841750824881244,0.7460729303162325,0.7677879102193639,0.6447569841153364,0.9764666265015337,0.832021420769319,0.7697892476130515,0.9283002240559447,0.5953127512546755,0.7744560412945691,0.908985548897531,1.1151397862432604,1.414605916654579,1.6015599524163042,1.755403999364103,1.4153467210674957,1.469024428680678,1.7934166968007148,1.7097905614478837,1.5058366499970055,1.8236019474659582,2.004266361355167,1.700193337553337,1.6759213353931421,1.9395102677811964,1.9542155327995605,1.6273623399578596,1.614461143401389,1.352092802572747,1.3423259263625333,1.3223408462842208,1.1546160267848957,1.0196849019330838,0.9433491068806655,0.8717617427715602,0.7017277042702331,0.7054417995594365,0.5667598926418248,0.5524871745177838,0.7026913515799145,0.653846481307809,0.6602840429280769,0.7347379859576436,0.9758481613196371,0.921536858288191,0.899614576836431,1.3621327619623307,1.4908805074389628,1.0205473863595396,0.8808207393092056,0.6692689343287884,0.700523766494524,0.8982782557576107,0.817024267338804,1.0327728559065983,0.9877435565953391,0.67134212957272,0.657512668624752,0.5431545875616784,0.5790970792620543,1.2407194184906782,0.5485267388712094,0.7437022686708772,1.7574695039199064,0.6362441719548302,0.8864742398069705,1.162152528078347,0.999891923006311,1.9254323488808154,1.8549872999356243,1.5830455198778137,1.5160010635491996,1.8027032006693646,3.264053871919088],[1.3697091746241228,0.6853592708075342,0.49605310208674935,0.2973008341036975,0.3940485557970026,0.32991013419812476,0.2709324480014335,0.3164805290091803,0.34185165433258424,0.342913057102682,0.38355808739103603,0.4580980396998393,0.40667938000024,0.4658708998268558,0.6583766892022661,0.5590247652675677,0.5595496819471532,0.5984326096051912,0.6480586434527565,0.6152840915118983,0.6728865594749731,0.6950327256839259,0.8427785495982756,0.9834316776325863,0.7474815369452413,0.6977821985751455,0.6198745803085463,0.5203790167305644,0.5395494554784439,0.5252914940258208,0.6293709419143938,0.5530758705786525,0.6765162312880281,0.6649420647094948,0.567411551720971,0.5682243621120172,0.5135262586577576,0.5360590269565847,0.5270800485313112,0.5109051648400954,0.6355826326301828,0.6407414837989378,0.6216353663085704,0.8645906968456907,1.2324887304514796,1.5680432378428784,1.7688225034350402,1.1151554967944968,2.2261180237190676,2.0563257720052417,1.1984368750521137,1.467849707183232,0.916791300045376,1.0471737818616402,0.9170559305549707,0.6392625823944156,0.7178897532632583,0.6821048119111368,0.744062419549647,1.1213106453773523,0.7680923888993394,0.7361831318129888,0.6991176138755512,0.8630843779320615,0.723791565525165,0.6742020830145555,0.8376012962334292,0.6884649293135185,0.8169210020048921,0.7944609294450509,0.8064000582505664,1.020455358670285,0.8691554068363937,1.0510692754390156,0.7458987662491339,1.2688013431932648,0.6965702057990423,0.6889092958371182,0.6243730346296625,0.6259465115038713,0.5639857838896493,0.5726867922588685,0.7959337770613182,0.5121011405811003,0.49850150593134696,0.5159532282578339,0.5559991598723386,0.5701948072224187,0.5688915546698073,0.6824277481743434,0.6813356154969258,0.8766272239182775,0.790640860184196,0.741219835037845,0.6688114070253779,0.7907245005321347,0.729458844454498,0.6164036249664773,0.5419693103620853,0.6857974040177849,0.5002369585415547,0.509246634008794,0.42013045899863843,0.4331109521858891,0.4247949769950767,0.41624878519992725,0.46700823086676463,0.44659875433318613,0.4255350285277481,0.5784121914491994,0.37867008373832556,0.33408987823394526,0.3196733965234127,0.3881507957768433,0.4118292813744627,0.4397907724951647,0.5022858551324726,0.7743596002992479,0.7707871390865687,0.6430553546111499,0.6169052638711223,0.548731820045969,0.5534348758091799,0.3933875271764943,0.3661863278089423,0.4011023313929469,0.34222222978009736,0.3569044310761814,0.3599747884842109,0.45992092841561966,0.5964119155199962,0.5072339957466122,0.519345770352981,0.6179359244219086,0.5252565236968877,0.5917345205503781,0.5738917984364389,0.4806613747339406,0.9692158077770372,0.656498997793549,1.3238630639319902,1.1423714257055901,0.6696665354835601,0.587397896431158,0.49498409442765795,0.4707739009879133,0.42850544653908634,0.4033333705750727,0.35030373362972506,0.3854731025680976,0.42279192241002056,0.543273374921184,0.7454461656624346,1.3246814997290919,1.1944084208183285,0.6080323338431338,0.4207162456544733,0.38951838712579057,0.3813509281149969,0.3848723534224886,0.41853267136696093,0.4513547801946916,0.46464068466674074,0.47697032966130926,0.5767567306877078,0.7152915093074871,0.6480934986538459,0.8389236298246308,0.8166000863090443,0.8179565499403301,0.6365837031968347,0.5686467911595927,0.516570057765822,0.45468288537702023,0.4218552386410681,0.4098103485946148,0.482255126494716,0.6347830521065606,0.5125729690991981,0.4880090649166862,0.45096378361199824,0.4216835310947853,0.500971482029062,0.5946100256081496,0.6369945416620358,0.6520463205830846,0.6009406097142541,1.1110276648082908,1.5577040472516703,1.148298764934822,1.57726647658112,1.5657558141603847,1.1687426005412174,1.0394736287343964,0.8340236399711874,0.8734238137617616,0.9133302406068945,0.7321578304383942,0.6620342693364814,1.0900540430127967,0.7740923954114195,1.0497582203192006,0.9370444736736984,0.7030199305631415,0.8958664648886753,1.125513502142336,0.9164516516532373,0.825472207263736,1.213570058405036,1.1729718439076906,0.9531367796003637,1.1411136030167603,1.455266043555071,1.1843599422640871,1.1490301262521534,0.9014420311613529,1.148824545450375,0.7480763972201483,0.7376532232409879,0.8235279146247974,0.7730062083324784,1.6872538281409093,0.9972027984806906,1.4149726993617708,0.933376429968804,0.8781083576260367,1.0091105678209626,0.8350123552288808,0.6534576278006817,0.6302464041171267,0.7690192552532443,0.77494533484428,0.8277121869304502,0.6590895041912294,0.9374616952260483,0.9414777797502614,0.848850886545122,0.9768444526050006,0.6200597121726631,0.7506410419450498,0.846205892327789,1.0222389943437318,1.2945002363562474,1.43826777097698,1.609684412564841,1.309625541598727,1.3350968562446528,1.6535865652618225,1.595702551763913,1.3947011014534811,1.6896049913465128,1.881056043271855,1.6047381978106552,1.5564043059361166,1.8143947528089064,1.865146042836903,1.5328534159552762,1.5003813347968373,1.2404251673840827,1.2167678942522129,1.196088184423745,1.0205148993255362,0.9124163206710438,0.8680154338863516,0.7850698554543672,0.6492138996139627,0.6833820540988369,0.5555184623142251,0.554316267797389,0.769079713992362,0.6859069965455197,0.7122899631602118,0.7986950998140862,1.0636778410048755,0.979683840139083,0.9316656690334032,1.427446448239853,1.5105446552416564,1.057830238560541,0.8872704400179215,0.6773132354656288,0.7143586656308523,0.8860758260810704,0.8161534927784031,1.0557314380131155,0.9991601631869527,0.6888579108049483,0.6575664440101359,0.5584641309230405,0.5471175090195846,1.212262235629898,0.5496540513258515,0.7305415857139038,1.7851098193745696,0.6731816206338982,0.8871147769742054,1.1715268258268252,1.0218880312461838,1.7390253422115456,1.6030440696086208,1.4433235352229163,1.5261209109196154,1.591616056006661,2.8389487471654284],[1.5817605405510218,0.7452743349746727,0.47070292646485357,0.2993888232431084,0.3995178057906408,0.3368263688042022,0.26032127935562194,0.29445459564345544,0.29659582745648044,0.27210648968275625,0.3122555901621876,0.39347388829330293,0.30901522918357727,0.3565770620897896,0.501454270930245,0.41859607502891444,0.4587170205332861,0.4963052720525745,0.5589702569087973,0.5324257359365577,0.5872223323652781,0.5986794118277067,0.7687437109191876,0.9347745377743679,0.6620854756153688,0.6236420487606744,0.5362840955678624,0.43941406619649703,0.4311464179850646,0.4248585991551081,0.5123503310277889,0.44489553740618454,0.5724936195664229,0.5486370880983243,0.4537407565451703,0.4615786587075451,0.42330908053214644,0.45011500565431856,0.43251707152670793,0.41689126479539584,0.5543588663209275,0.5810962696399111,0.5535643028342588,0.7740276618890544,1.1841503940355789,1.5356080727188708,1.687597872686361,1.0202948338168212,2.218577585779965,2.0007919710613193,1.0987584179663965,1.4201971694342364,0.8833750357060715,0.9338521060348868,0.8957155566321692,0.5452755666758735,0.6264192308903803,0.5987147899551093,0.6896493365246888,1.01301591266422,0.6914149507105739,0.6649920110469548,0.6245941028574209,0.8171034530716548,0.6468417635534963,0.5856513419932167,0.7972674377469892,0.6171159573338805,0.801928242566088,0.7049190394067526,0.8192128663415561,1.083441381891763,0.8315760089983115,1.015439392757734,0.6562359513780414,1.220795919348971,0.5994049812180923,0.583651883322338,0.5218055526408797,0.5169946060947257,0.47491940957381934,0.4809429868292533,0.730675431566027,0.45573476280725334,0.4000284439448907,0.420246899474943,0.45647270590958017,0.48217896546136263,0.47159669171440327,0.5782550527064567,0.5754051854252643,0.7769689014244703,0.6608380268754125,0.6000464897449608,0.5332488408938012,0.6375980052076463,0.5874112767941415,0.4985586572516505,0.45030001121885843,0.6621845787553069,0.423739783506621,0.537119562954869,0.36017571278111254,0.4044869988830235,0.39221299878879173,0.3978565578693229,0.5149583528799702,0.4083970857438243,0.42717378964460323,0.5813299608566298,0.3773816781665764,0.2992486407946978,0.2762136745183347,0.3490526120093391,0.3530837800755854,0.39890191140894804,0.4761736325160981,0.7377070565506364,0.6781217202206533,0.6006815876975589,0.5446534936633161,0.4925167993613335,0.5162362860164702,0.33035389723079545,0.31882527993781673,0.34544903316010483,0.33750164395237076,0.32563423161192456,0.31341440176771407,0.39096485873494075,0.5762656223447857,0.49833967617895375,0.4525554043147018,0.5990599541966146,0.45702249816182017,0.5127078371714435,0.578157806190655,0.4514499895053541,0.9969066573509829,0.5345776877702165,1.3922566460193302,1.101170815019244,0.6370376242724882,0.5466061613440392,0.4398705790454444,0.4006624494098971,0.3621673113896761,0.35387223067499723,0.3078366299788883,0.3564634937143736,0.41850692974355935,0.5081804024249097,0.7684903560326549,1.3440400136317467,1.1358933477885902,0.5825708537086641,0.373576419461303,0.38755461985216544,0.33143436772077783,0.35499804287633824,0.3599836802827269,0.3870779041093721,0.3814949018721227,0.3843924267554633,0.49072616696196597,0.6294387131857545,0.5470642746295389,0.7297772599456014,0.7106554914647544,0.734971593377205,0.5469129064044113,0.4812141533741969,0.4377696743948867,0.37585256693711394,0.34002796849784156,0.3574587198743428,0.4251233351869474,0.6361020017624123,0.43903870875104406,0.4509538248267649,0.38059228284259927,0.3683222720689928,0.43546535420859994,0.5094206681915366,0.5701577501148489,0.5858135480601554,0.5310317683706194,1.0825454195387119,1.5264069242192595,1.083752597191133,1.4782215084645778,1.4472499651754183,1.0551775434097603,0.938515307619482,0.7386234936978862,0.7943212301334195,0.8863792793128038,0.6947948324214881,0.6319327388975711,1.0649156690747004,0.8103573229046926,1.1039396345210177,0.9442836566678845,0.7417881691096199,0.9814594586495262,1.1816608395812334,0.9702036992370643,0.9029023266431084,1.32814689666159,1.225112381856617,1.0169667929340565,1.2370911647889529,1.5284323624782348,1.2209893288997464,1.2059023980405128,0.9599123909044617,1.252634957971688,0.7910662747878767,0.8137773326285603,0.9408101945312938,0.8591169507097642,1.8110732690306246,1.0938507402668232,1.5898022035276569,1.0871574175371537,1.0528795071884116,1.1553255440626096,0.9900794405660511,0.7733993327030161,0.7198491381303551,0.8568677538328436,0.7412517864855207,0.8093089922286587,0.6610841332556762,0.9224346410053506,0.8278687877361426,0.7792066319603226,0.9152583666605387,0.5879275125399425,0.7891697318923309,0.9032404767274851,1.113368827115427,1.3816830147508403,1.5921788943070134,1.7062666453288824,1.4027414709754105,1.46780173811441,1.7657809286877848,1.686088051454868,1.5122395560447661,1.828513691898558,2.0039657210848074,1.7184002524613966,1.7055589901156296,1.970522488736479,1.9873672207859034,1.6796213272307592,1.674908393957563,1.409629289139483,1.3939200043436917,1.3539196995787943,1.1898162881676166,1.0863647726530261,0.9944181751162622,0.9100972207227157,0.7663853721377278,0.7616492520557481,0.611789767807308,0.5933147619602719,0.7367923114926707,0.662560881638572,0.6762804452801456,0.7237109835664409,1.010118958681329,0.9273649492175785,0.9316882217295773,1.3435882689181489,1.4681600340557415,1.0713587002624743,0.9256751658503742,0.7258654913060417,0.7474109181284213,0.9508332699554904,0.8834833761655672,1.0835453125444037,1.032011254665096,0.7178702960832685,0.6491361129127565,0.5107688829803068,0.5186772505466619,1.2279163213467823,0.5588577933864937,0.7789413244082186,1.8638536825769532,0.6716897289736932,0.9345874896875694,1.2036142873940676,0.9273934252761146,1.9191042878875026,1.7960096907857066,1.485502262551304,1.628060404164162,1.5442457198853339,2.968880114593287],[1.3149566337566014,0.689704502291243,0.46592280719304763,0.3121081716677383,0.42957175610486703,0.35905403312445094,0.2903799465845909,0.32971910784552666,0.3690930162603255,0.33731984379146673,0.35322648138785945,0.4302577908106073,0.3725847340562945,0.43270659419440166,0.5686184519447985,0.46389881136962147,0.49898077902996035,0.5444168884958045,0.598770152248483,0.5727334153128061,0.6159611254387026,0.6259099323776331,0.7705428613942867,0.9027840341598584,0.6992377358330084,0.6356456461822778,0.5515333273124817,0.4911187339177191,0.4921896402323054,0.4425143268432516,0.5277442602051956,0.4458177565242704,0.5426242310424014,0.5320515594614422,0.4692405488010428,0.48685058612590526,0.43926088360148524,0.46329992306855405,0.46007696538319753,0.4515325052099886,0.5785316432975476,0.5930212409560449,0.5518345680573411,0.8112742335575519,1.1630077824306555,1.5734549696111146,1.7691067656626214,1.0527858176623857,2.2987519508793484,2.201895458247946,1.1324366527027065,1.5340726520490127,0.8738115442540705,0.9229129323549583,0.9185826307821154,0.5573170307527022,0.6671021162788866,0.6218135810045962,0.6890612451482413,1.0813036803641296,0.726249444687365,0.7118773051550549,0.6460081658281376,0.7939876183012454,0.6846743554574649,0.6054475043428124,0.7847904840307274,0.6534028044351292,0.7878248436691023,0.7489257109068195,0.8252825785783141,1.0287852752130642,0.8455547647587425,1.0257143893362766,0.6969244333418566,1.2124241530485722,0.6296844020323231,0.5804498476932026,0.5286562889005667,0.5437407361585036,0.47537710054790033,0.5121980852025686,0.7494950799209678,0.448599159526332,0.4422032955931779,0.45344313865542774,0.47303180691387403,0.4932197300359892,0.4959864267925192,0.5840564606150382,0.5799205257945885,0.790741471077589,0.6890453607175505,0.6058426771212471,0.548307707915183,0.6566424754507125,0.6168779161863497,0.4856066572645449,0.43610340772338907,0.5784175415290554,0.43224266287721785,0.5405682183796678,0.3849948897698605,0.4512960914357935,0.42861498929119546,0.45578309956073626,0.5559890078241385,0.48832598473478483,0.4894367921884023,0.6165297521747264,0.4418939042262954,0.35315155178671953,0.3203068721950664,0.38378394789081666,0.3836154670160707,0.42704392920129347,0.4916255530809014,0.9231761344382828,0.731832911843766,0.5842957954662057,0.579117537464896,0.4857187946951349,0.564827950907145,0.3882939483738042,0.37882106336654076,0.3925136174108983,0.35427074306430295,0.36456883816538727,0.37400261677725827,0.45567217951563094,0.5657193829398803,0.5240332643829748,0.49877446872852466,0.5719774519467978,0.4819381813796913,0.5683381111738083,0.64334894250552,0.44090251265489794,1.0162019447641908,0.5909843509654631,1.1215257333519084,1.0419987795698435,0.6621922782127903,0.5176388758847396,0.46116114480834586,0.4429662942703978,0.40067169202493524,0.37926255620587085,0.32558513540490813,0.3959035146843494,0.46347158908966496,0.4832657939869073,0.7024237736984141,1.162760638687992,1.0127132220856745,0.5356429667722289,0.3727565828298835,0.39564387286061864,0.35703309535980826,0.38487765028189513,0.3691730084423461,0.4038142791950506,0.41295010827590123,0.41379269222870096,0.518933777031583,0.6321451256003695,0.5572591280020809,0.7624335428978086,0.7562793119755904,0.7386415182385652,0.5680386341095519,0.5003979483535864,0.4651468980016023,0.4044295091797958,0.36582452602914367,0.3974826918209501,0.45042221234475965,0.5986570137964775,0.4501412612557145,0.44608250978737635,0.40655614419721187,0.3948957397332453,0.4646772247430409,0.5459062410412114,0.5895375028565402,0.6053088345148561,0.564267509483935,1.0287679323282353,1.516949945404266,1.1243959361191946,1.5371470415504345,1.4576701353723465,1.1595465453931282,1.037761243609353,0.8191480070610752,0.88549134641367,0.9100354943948048,0.7256814772054888,0.6721177248861484,1.0914592536387213,0.7667454998478709,1.0169058093281858,0.912348400155484,0.7208213527861855,0.8920648409738956,1.1117824048446583,0.9445489041505499,0.8486064971583477,1.211976672374484,1.1912804232991643,0.9815246575937517,1.1612897127122959,1.4659312697708222,1.202575106136042,1.1730038481578053,0.947077940431614,1.1836757685218229,0.8138593487352417,0.8033011631090977,0.8813410842995829,0.8266651394609095,1.6472732639935317,1.0131165393412296,1.4549106227567858,0.9322727796488625,0.8510049077294994,0.9842600416870708,0.8123521839647149,0.6940879934770836,0.6446159481576765,0.7841605777034735,0.7944772144419675,0.8753540904472591,0.7022082725109555,0.9065812771275098,1.000875280043346,0.8872522266182257,0.991472748670488,0.641821486336566,0.7633075094218867,0.8184412995570197,0.9904900003157474,1.234425002577003,1.3817612980456826,1.5245367476076492,1.2708327633516814,1.2816054847668605,1.5680845561744667,1.5361610235857466,1.3492216754564508,1.6251482259675445,1.807250857262272,1.5705704556024411,1.5246845513307337,1.7667593768192662,1.8314100752896878,1.5199320043352413,1.4932782640121554,1.2506968988538025,1.206226546884037,1.1758377790937453,0.9975989396370086,0.9321313725480393,0.887576290511318,0.7938648204035924,0.6923829853729064,0.7264383217506288,0.598496558385366,0.6018562647082861,0.8240175633852158,0.7218245186876104,0.7664101772214609,0.8388437961096367,1.1296675048364406,1.0309087746552363,0.9886282782773463,1.4349888228466423,1.5110362816737983,1.136725212167417,0.9469138961547516,0.7386514562296355,0.771969486948947,0.9250318994641821,0.8905501826678006,1.1222631143932957,1.0538170374844373,0.7447767073781949,0.6676979864445043,0.5688470297437672,0.5272418447487733,1.1773891206971838,0.6259904489655003,0.8133092643489963,1.8988103256174444,0.8079303354020883,0.9991039976996307,1.278799741667295,1.021088453446485,1.6276009233333328,1.4366755822922495,1.2874614068366015,1.6202184157218924,1.2747125793176062,2.276557480478305],[1.419487081261406,0.6891601033450078,0.4055372355820565,0.28193460301042544,0.45357607105285264,0.33849856806268475,0.25510278805197223,0.3221067781357638,0.36772308393023523,0.31365871455723693,0.3445280565718129,0.44311289898258494,0.3331981499976027,0.3580293818763978,0.47535062911448417,0.3850852866493131,0.40396330733472957,0.4036128024815803,0.4472493913860034,0.4393323689067093,0.4659395781932881,0.48785726372899096,0.6191481863133038,0.7347692015318749,0.6023293239247846,0.502036928312868,0.41845771582021823,0.368267279937684,0.37439496706855235,0.361513933615974,0.44116085880941813,0.41503302673140463,0.4768878369236018,0.4344411759122444,0.38862665091725107,0.3752213745443488,0.36881073187137015,0.3688803194458305,0.35610695414390275,0.36107433945892115,0.47993095042849127,0.46187541426151385,0.4331718492918392,0.6886370905733099,1.0912752038926534,1.6096308651229694,1.7807027297925901,0.9605962501137959,2.3226256430603933,2.264105687851525,1.0548966046570007,1.5470598947960599,0.8675905004975064,0.8260935374654906,0.8846892947112484,0.4913503604426183,0.5579295581720309,0.532582451646466,0.6329009559901878,0.9560935293494358,0.6266787462588193,0.605506929020764,0.5487946467880824,0.709112489791729,0.5454797955048928,0.48200291938830525,0.6849890909178444,0.512085754601685,0.6791220838462223,0.6283380618600242,0.7597996615806737,0.9974559821810454,0.7685494706488014,0.8877296546644216,0.5863462165968163,1.078370225394493,0.4935964960637656,0.46710293357977084,0.4120581765101846,0.42501528996596516,0.39095055040435317,0.43808657428140635,0.683624469569591,0.4155433683577904,0.3671532285731378,0.3788971717327202,0.38479275097796717,0.43478796547691106,0.38275787568736686,0.4859424111964275,0.46802938371154496,0.6881877660668593,0.5594695487955721,0.4860253033571876,0.46139462589740937,0.5488758589452181,0.5659796274759675,0.4532851229725072,0.4383092189576869,0.5850134277046258,0.42768938766963693,0.5755920086348439,0.36948301247406945,0.45592838436385175,0.42724933905498835,0.4548868301755139,0.6206909695160497,0.4924438705189023,0.48800427303880295,0.5951132697599478,0.44764572403542574,0.3155902893006945,0.279427430920172,0.32936279239484756,0.3377617342986242,0.3266687742097746,0.43221223649063567,0.9040426759035423,0.5552600372511869,0.4756326218090175,0.41602797491423865,0.3872639241841706,0.4422238859035006,0.28671403620022384,0.3065962531550296,0.3194562488830061,0.313443747973284,0.3464208884407225,0.35419760613960605,0.4467656366092133,0.5334820168497759,0.5430518861458256,0.4833376402524203,0.5425289472385398,0.43183800179984305,0.5302981635761413,0.6853784054801604,0.3826337790818852,0.9815044465897032,0.45270171055265646,1.0826533539961944,0.9623047969498213,0.553946764099104,0.409659074477478,0.36148688910596266,0.3286767936674357,0.30805437341412134,0.3354655285442831,0.3065890714903197,0.37455344266319507,0.45454458632374606,0.47201012094837824,0.7207647465441485,1.1003956716661936,0.9418493482359935,0.5284600538169496,0.37428251843485905,0.40799424519768895,0.3469422430456746,0.38530445496859667,0.3472642598484472,0.3303791579895794,0.3169379060605165,0.3150322935696256,0.4280320815157805,0.5735061041725938,0.482459217706994,0.6874992098490332,0.7090583414449919,0.691750530744004,0.5018143339710458,0.43087797065926425,0.3922691800263648,0.3525783855386474,0.31732894954236357,0.37045982056991655,0.4075206611806651,0.6032200026224358,0.3804294239158288,0.4324034942231618,0.3447503960701433,0.38036885561097294,0.44735724575095487,0.5055368151449856,0.5598739588072507,0.5663550995360928,0.5198014132074799,0.9789925189396168,1.4538710080832662,1.115989201496789,1.4292967721483771,1.3101945683933898,1.079820451026811,0.9808718518019797,0.7633785175102602,0.8449530947809945,0.8872372010143059,0.7069496854027097,0.6503542260965821,1.0753039148746173,0.7958156688382619,1.0533161817775922,0.9311553514168726,0.7490868238608165,0.9609255226555142,1.1623127424481798,0.9726612350210377,0.9055101786587201,1.299415169914355,1.2513309698759063,1.0416561327095868,1.246031897868321,1.5510507027572487,1.2547067293562237,1.2320816533884569,0.9693511743807048,1.2694981436283643,0.819773927400874,0.8500443782094015,0.9615510768873815,0.8839795759799829,1.6837997775472804,1.068387626417737,1.5549173760498234,1.0293156392251255,0.9660646896621922,1.078147267432342,0.892489134024815,0.7806254703820338,0.7093165977171216,0.833038188339134,0.7695455604020328,0.8828733820301535,0.7037263145278998,0.8813430319057055,0.9407510894394362,0.8306833774414685,0.9297459633168468,0.6174083330043729,0.7968905127880287,0.8427125381661975,1.0403700623570213,1.2566266351835698,1.4596457536929999,1.5416659064321325,1.3127083487403175,1.3547314045863663,1.6032854352958639,1.5673105517953891,1.422960347434486,1.7038727281009802,1.8757683887960401,1.6573557018500182,1.628597676572617,1.8609191736683282,1.9207187724708699,1.625655036651661,1.6122670105256032,1.3671637670445604,1.3277627412169366,1.2833974124547263,1.1160020430885689,1.0535043201125052,0.9862373419639691,0.8955455445241958,0.7933406873368524,0.802624849024375,0.6412624687783574,0.6381375892414295,0.8189505762207965,0.7118847552777728,0.7381147193030081,0.7787312782951729,1.1022265099955613,0.9780662831078223,0.9777862606057534,1.336954345890147,1.4554547504253528,1.1384401637099912,0.9633330487135018,0.7539558872723178,0.793827166962154,0.9676042888175016,0.9284209136473968,1.1277507301688785,1.0595449088817497,0.7577233475296536,0.6369899127157821,0.5179985756143233,0.478491308224799,1.1823703757220856,0.7097693697225271,0.9115246226114522,1.992991093554964,0.925532979881174,1.1032194180986132,1.3592709998395471,0.9522181118630751,1.5054293453336896,1.3345175820242627,1.2638291160527606,1.7977988493367625,0.9742699114357263,1.7293165168262965],[1.6959961501476504,0.7986487491810497,0.4848390708009725,0.4014936071172645,0.5687961643065664,0.3500655213730772,0.30437169531741914,0.3689293381137668,0.35639267773489214,0.33030829843861026,0.3807048104404976,0.46644385914664577,0.3622510322116022,0.3727178208445235,0.4852974279017754,0.41508566593643487,0.4490367972682497,0.4434102391169191,0.48886012662821055,0.4782348170127114,0.5043044486178141,0.5224598227292832,0.6418363529437088,0.7758783448589109,0.5950031218720214,0.5216007008424033,0.45233937066150764,0.3961432553117942,0.40522981223375865,0.40454346852573086,0.4882969289836577,0.4428739120911329,0.5343086458723871,0.4948864209185159,0.4340191524983588,0.42545191601118093,0.3965609274080762,0.40470579622278446,0.37207201480095464,0.3734654800760363,0.5197182892188342,0.49802746643844126,0.4796218073126019,0.6517177299797924,1.0877824633293514,1.5672363406355938,1.666535748743938,0.8842382799151931,2.2696365854620066,2.117984703004117,1.0012305570533104,1.4545578326897999,0.9380543459553311,0.8056550878928593,0.938307611884441,0.5086423658826521,0.5097748132839889,0.5484230387366053,0.6696720661645109,0.9028529997590709,0.6438316168391351,0.6479378959170947,0.5848260297380132,0.783661081705577,0.5649649234487308,0.49979808618097943,0.7311253054344765,0.5826659202605378,0.743150926472234,0.6504432176463703,0.8341828041308152,1.1252493327020745,0.8107893038776662,0.9395135145416404,0.6177732876656774,1.102152242296599,0.5504243333489538,0.5181214502448829,0.46519773913238394,0.4544927445302423,0.47416626387970723,0.47828481147161933,0.7603197551384948,0.5143329325883388,0.3957630280566609,0.4120224285253167,0.4157499176069185,0.49630974592658944,0.4243364426561643,0.5200976492299658,0.5330749777988917,0.6938334754325372,0.5698724666562022,0.5150615746287069,0.49622266730090897,0.5659142059901879,0.5921792286959034,0.49035764003728444,0.49404856646866074,0.6829401372089393,0.5114307327462387,0.6673565187247412,0.4625942476443162,0.5362454540615295,0.49429124544266173,0.5189355728392585,0.6941477677640578,0.5223349626491225,0.5367356660307406,0.6319545477551336,0.48289353367113164,0.3593474481556622,0.3271783145742761,0.37176460198270456,0.3772308822842783,0.3556935922609267,0.4481448526459887,0.8022869475935607,0.5611294387624943,0.55448488806666,0.4618125243803831,0.4224876765182243,0.4482448416387991,0.3143901823941592,0.3489578091887877,0.373063762052306,0.39415122112526185,0.4172669755863108,0.39558398158778746,0.46776288086440176,0.6120221292570153,0.6172139106514541,0.5159849168036202,0.6215692250554924,0.4718430491013792,0.528882553709374,0.7315852281263496,0.4459443335123226,1.0059550788063296,0.4385957602843032,1.231224445827544,0.9822415244378936,0.5660288837038185,0.44694815357390627,0.3932830426925505,0.3817064286322889,0.34997336825662506,0.3972545169819043,0.3707843170117139,0.4296115185217392,0.531945750208169,0.5347792980089242,0.8071345156587274,1.1925705465823024,0.9336948650168532,0.6191105884685265,0.46762614003975966,0.5079063199486588,0.41910138449326806,0.4500991418242138,0.38712445401751633,0.38834647227619545,0.34859863870442254,0.3480776220439007,0.42809210973251416,0.5946838403299028,0.5096719756405492,0.6760892133484242,0.6910525117354598,0.697335531389403,0.5229933558641683,0.44493005989270307,0.4169692903603014,0.39574176317739557,0.3742219839115005,0.4373776095075543,0.46439279239998543,0.6897751747910421,0.45200498269296285,0.5058684690664635,0.3791262063161161,0.44813327672346426,0.49173863000632106,0.5213504545504876,0.5829295328702523,0.5808414758028316,0.5131425445102213,1.0070057790550224,1.4566307834400198,1.10187663938783,1.3864356104177382,1.278567992439224,1.0093069180342578,0.9340492850979002,0.7395214784638016,0.8295961619640166,0.9317371882637101,0.7487479009553636,0.6804154541271836,1.0623341340478216,0.860749148902754,1.1197369133580997,0.9499405907558166,0.774688054386909,1.0313239757873636,1.1871627420254325,0.9706194273230592,0.9319731334795788,1.3707372033845824,1.2170807959144005,1.0176348215466933,1.2651265864450187,1.5420823580162666,1.195168865765713,1.202777878887227,0.9671750511925362,1.3061025218880344,0.8336926441450389,0.8573703721126616,1.0200398087780507,0.9332429870515517,1.848577040620369,1.1799218207962237,1.7035826017852007,1.170068844613475,1.1512828779440676,1.2487025708785129,1.0860996259217284,0.9127746366451798,0.8052005634595326,0.9223963617015295,0.765636544098152,0.8515660197183956,0.7259237517978677,0.9537281266337406,0.8650935784754074,0.8051512835327806,0.9248717291685757,0.6358828340926158,0.8721565571313894,0.9444748509466439,1.1489657010649101,1.3934456784713292,1.626557804101081,1.693578574599183,1.4409012175341402,1.512261255037949,1.7719846367732206,1.6884927630692077,1.5408821345579908,1.858872863480281,2.015063995655978,1.7450846347609517,1.7642236323485396,2.0211346083822344,2.024311424627539,1.740646209029136,1.7653348423324353,1.493075420549434,1.4832261813947243,1.4297216524153067,1.2715397159101975,1.188970651534539,1.0697977271202446,1.005227628472217,0.8795524161583297,0.8440872386312662,0.6890397263053605,0.6899044214638326,0.7771860269895511,0.6996724448355087,0.7263141467265634,0.7254852199922966,1.0739928300036776,0.9304393927077755,0.9618362619760916,1.2597546339747145,1.4139829721273618,1.1577699377734756,0.999913784801175,0.770866009079998,0.7653861889010464,1.0413330343433993,0.9665763351751298,1.1338897740767055,1.0444499490877168,0.7767619688131747,0.649848843678196,0.5399911260533852,0.5560858571943851,1.158928382016842,0.7466269605815546,0.9538669802267212,2.115286991932595,0.9261294450640644,1.1385580710241532,1.3876460943947622,0.8488670456874785,1.8646320333930224,1.6259877954395776,1.2876240934805594,1.7988605262960742,1.194330918331576,2.1757180385632515],[1.7856897631089592,0.8568358876914288,0.5322778673202085,0.38223157646930617,0.5830277727380939,0.34524290235171023,0.33072278360437146,0.43200161532234616,0.3704505256343001,0.34291698156124,0.3876959659768752,0.5059155059859288,0.3891134767045338,0.3725360137335417,0.4963992403161234,0.44509241711073655,0.438557142206004,0.42247918785742994,0.47094222672789837,0.4651544947042032,0.46311320754183527,0.47356321794168865,0.5660790109732375,0.6971725183306619,0.5879855986599768,0.4788330138077222,0.4117390146766732,0.39070511218658965,0.4006445612692821,0.41889195932071943,0.47339690492982583,0.48224762571091717,0.535412704128748,0.49685072024916727,0.4536521673504851,0.42944883737146294,0.43625806620191154,0.3848290527817038,0.3697915057339585,0.3945548062844887,0.5145395924451579,0.44393676192327514,0.4387632008262052,0.6128308884834759,1.047770682195455,1.6718514142818048,1.7509290825300523,0.891460055448665,2.394786215173384,2.340293907576248,1.0456086800978461,1.5678569173775716,0.8932478462075857,0.6951834418995567,0.9322185482442445,0.5189185549310822,0.5213881532903761,0.5576077402582547,0.6769928216448392,0.9150977238661971,0.6476909025007039,0.6340770215987537,0.5678092142091532,0.7181481658375081,0.5336759706902485,0.49320550302655003,0.6865555993458181,0.5522044567604394,0.7201099263219077,0.6386546727531203,0.834926700062924,1.0948595694552838,0.7917259459432159,0.8702239237381277,0.6014177324516108,1.0108522779139426,0.5246663855039441,0.4969833967558694,0.4716612599708171,0.4766603105595538,0.49960400031017643,0.4970366452807344,0.7447023945538678,0.5552158235935849,0.4427743386574419,0.4398247441804692,0.4114247767136962,0.5242659622043965,0.4301879290163771,0.5349935422884095,0.5168024181025013,0.6496406422133895,0.5486003865234913,0.47670336281722225,0.473002188002178,0.5252653145688717,0.5909863121032558,0.5012599308716033,0.5279692843959669,0.680616852698674,0.5563458531632629,0.737954466318648,0.5236021960292885,0.6281415332919079,0.5859889104266504,0.5852390059814132,0.794779223346072,0.5629471863106004,0.5794724501771322,0.6863483992262441,0.5431282252344395,0.429105552546219,0.36305030404878336,0.3716336725675576,0.3768007725480377,0.3615023535345841,0.4761328770215243,0.9123738117772965,0.49957708354314556,0.4817672114549525,0.3997472271384618,0.3837281485005903,0.40424746849630705,0.30384424350685757,0.3218886538723109,0.35962647043296997,0.4048316028186912,0.44329296347569597,0.4077575025514716,0.4795074003966707,0.6109334571177826,0.6605772873513802,0.5437273987789613,0.5987386201778377,0.457405696473992,0.48485069561110955,0.71819221690926,0.41251618604436635,1.0576396519233382,0.41147852540516155,1.058727414967506,0.8687824453376607,0.5649870714043356,0.40830235078342564,0.38614825089639837,0.37177605431022703,0.35460039005817545,0.4076595104639861,0.40354545010599485,0.46421523949697047,0.5918931025378217,0.574422639285224,0.8104863385035089,1.0418713564623507,0.8248099216325077,0.6365420786071871,0.5327682146311565,0.5828594614061026,0.47217308486860704,0.49462751318452086,0.42327399515953384,0.3882581658722254,0.3756477562559081,0.36789179794395943,0.44344454471541306,0.6074676532978186,0.4888440348246412,0.6465395625363642,0.6974741004748918,0.6889527264766173,0.5076503409583386,0.4567965237194735,0.3988899696620904,0.4198185605786569,0.4147112848927857,0.5062403357980386,0.5162951925962233,0.7514930303343051,0.48718980331368766,0.5775890710401675,0.4244027948959805,0.49617639207109887,0.5254851018066473,0.5599438261884356,0.6172235747744795,0.6147066190627198,0.540693838932764,1.001187565397574,1.4556830213755179,1.1604576484022806,1.3618425828304674,1.2248509139132453,1.0163600921893419,0.9485087958037146,0.7503439476823652,0.8368021984650965,0.9353862089300377,0.7680775417068626,0.6943587063799349,1.0669803453789695,0.8815298534118877,1.1050376878017047,0.9410261209105949,0.8008998516665926,1.04526463208258,1.1789543200933714,0.9873653497129719,0.9580582638489336,1.3659480789244367,1.2219418810174165,1.0406482995565944,1.2755968583555344,1.5370826062040288,1.2089063923125076,1.220175253832157,0.9984395367702897,1.3302646388839288,0.8719455994678036,0.9067093495738072,1.0618965929830093,0.9767873661891088,1.8643801924486783,1.2337368649484997,1.7311899327591678,1.2021669025672648,1.172629374184274,1.2560381658347572,1.1056363553614554,0.9691399648699621,0.8489167520133303,0.9535607951174802,0.8062919546843522,0.898945340832451,0.7677951962565027,0.952344569994072,0.882618306403141,0.8230335763827749,0.9064255158019306,0.6644173108141899,0.9108752828198013,0.9629542027499712,1.1467253131247968,1.3499885908995206,1.589882541005057,1.615744875325314,1.406761484299916,1.4728149086423576,1.6849382631579677,1.6209620669585094,1.500675671969788,1.7809362360751853,1.9193041703280869,1.6987256229679792,1.7147902182885444,1.9315761518941466,1.954420562223797,1.7002935181222014,1.7191679852322816,1.4809381157020525,1.4656356280513154,1.4152453701985728,1.2761005257148217,1.2070720384063653,1.0953393821141915,1.037116243653212,0.9336707011254469,0.8985501857933068,0.7461790848573531,0.7528892592642356,0.8316405430932713,0.7389124972286026,0.7600445254247448,0.7502041087878967,1.095073759449486,0.9256674818297003,0.9747097918271819,1.2024063998246879,1.3815768468734286,1.1744076978618847,1.0366442287488349,0.8173385522955687,0.8098995034195543,1.1076792243968587,1.015749896734706,1.1393641937220917,1.0736329753896041,0.8314713052271049,0.6322468544467209,0.5104278611187012,0.5136695189104572,1.1277640886877005,0.8040006759366236,1.0037729534185198,2.111421910751355,1.038939814302307,1.2006084837523288,1.4357762425798806,0.8066449002427462,1.4680285483009259,1.2074293041873814,1.1736411201198456,1.932029565573187,1.0767118688825204,1.4443980003981092],[1.6906533606401883,0.8318550604425166,0.5834298488854225,0.4165887623214803,0.6296258453150534,0.39510171424260887,0.3832635248672072,0.4897096443958431,0.43072539622479367,0.3894954076558469,0.4556493067275976,0.5742723154160985,0.44712005741639693,0.4138710187789921,0.5436878684428295,0.5067921862822743,0.4865247384582657,0.4740791760405775,0.5033902673528959,0.5004871503116403,0.5047240749755952,0.5143876430121894,0.601088897751726,0.7217966061233855,0.5936764653113334,0.5023730420837963,0.4463145129429988,0.41648803631420606,0.44247642904772055,0.473209626798145,0.5360453481467701,0.5556065481606792,0.6089258282196024,0.5815190032155348,0.5254602227381919,0.4922018854141504,0.4871364899439813,0.43016235673638803,0.40529666404561043,0.41807598914596994,0.5309803023638889,0.4785070290601282,0.47911194996465695,0.616786979395081,1.079196914985195,1.629200339189437,1.7262077115901142,0.8725095505846174,2.340746329185217,2.254875977612889,1.0336945365945807,1.5030995187989722,0.9318589903366522,0.7388900579567634,0.9727766222500416,0.5425683321965743,0.5179266795554321,0.5952854165704036,0.7168487428602238,0.9171298815021953,0.6600008900517368,0.6827891177235175,0.635092676124046,0.8140322556176482,0.5857393947351274,0.5324467132335969,0.7496420687257856,0.6110719321738685,0.7815262385027387,0.6877546360944337,0.8778991135486497,1.1479865243380802,0.8450222456182299,0.9418030138845278,0.6527572163325617,1.0792216928992724,0.5938498267632545,0.5788704971270332,0.5338896982713301,0.5213409975949937,0.5632857058580049,0.5322011360529305,0.7973130743683727,0.6135249574372856,0.4690132190153715,0.4759505584637395,0.4546289049261401,0.5723676872904322,0.4861073618114729,0.5913935486292627,0.5938332255055937,0.702971017810016,0.606355710920449,0.5622163024548308,0.5514836786416643,0.6010769630083357,0.6583865026485431,0.5803336019209189,0.6114754512770701,0.7884452056628332,0.64369094150371,0.798535832973142,0.5997188651708277,0.6832544622490587,0.6331536796030548,0.6351909850395,0.8356489895056545,0.5965321968378737,0.6132678390882688,0.7211065360610911,0.5854434065308789,0.46467749678688447,0.41149664368875627,0.4044894307593912,0.41558771014788937,0.3709431846825072,0.48281629407146603,0.8277498034416886,0.547073019973665,0.5373162986273609,0.43973794671879574,0.4256550191193132,0.4196239861550661,0.3128048938768492,0.3493988426306959,0.3817567533203062,0.45041719945150455,0.4912299410259525,0.4529175719602831,0.5191166913644458,0.6507285422186925,0.7099590800795934,0.5929069558456589,0.6421748872458529,0.5072039476756941,0.5379789997303854,0.7517011258124112,0.43541655729533224,1.0283766501482487,0.4134822429129615,1.0857839423460347,0.9235829263242497,0.5611775984834007,0.4169794533069694,0.4022063289578765,0.41367144830944597,0.38565970292417434,0.4583702322297394,0.45741787130170974,0.5265052346080799,0.6560630577071606,0.6459913555962425,0.8981750936280499,1.1532923221851947,0.9002633272163915,0.7279100749900227,0.6124752839419053,0.6549050400899368,0.5427466930819319,0.5489976388202368,0.4629189959095944,0.43385393069483863,0.3846726449022325,0.39003216271972324,0.43983710402723775,0.6050866064618655,0.5035420054646866,0.6607701354022636,0.7087540615406983,0.6957575785646264,0.5273954176156808,0.4534589905473105,0.41501858219533583,0.4612250893879092,0.46047320859811514,0.5539193329790157,0.5691905656916578,0.7873699751279262,0.5347348566916602,0.6158483699707606,0.47365753601507715,0.5491711820615869,0.5725698636521297,0.601174056098422,0.6570979424256983,0.6451447151975203,0.5492722321110318,1.0267619403630412,1.4938564659019011,1.18214393953051,1.406027204710194,1.2561786643059643,1.0518887531188,0.9923945087933168,0.7979258153031578,0.8801896577283527,0.9599619674190834,0.793845242302522,0.7274483132577532,1.092912747466349,0.9167301214307308,1.1389341215637756,0.9740464290587176,0.8328814490953593,1.0808143143818156,1.2018491611791935,1.011632224342518,0.9877014987324808,1.4051985540585705,1.2355630299548483,1.0664700761452592,1.3184822274673587,1.562384954073219,1.2191498387894635,1.2681071351580053,1.044803306266052,1.3949659452075454,0.9335135076502786,0.9486366973882248,1.1312951398480817,1.0497762242332862,1.8555748730434574,1.2971823569743874,1.7714012586734966,1.2394057703261419,1.2260035046611804,1.3114027490057547,1.153710923493801,1.0195886541812351,0.8962631115305032,1.0045449379815465,0.8506763606367544,0.9389402621885182,0.8143307078044716,0.9718068387306849,0.9387378994872707,0.8690879648816476,0.9389636177436134,0.7043937260271256,0.9364591333734659,0.9980854608523304,1.196497404121468,1.3953526971407966,1.663073937529328,1.6703566676787682,1.4562320963706734,1.5371301842500806,1.7623146436080275,1.675920940281126,1.548381633051061,1.851978071544922,1.9859864882273726,1.743751556003624,1.7864897012604628,2.027173288769138,2.0288369924169847,1.7718576948173097,1.8166506158459916,1.5568889606768876,1.5401654621692191,1.4753968303045035,1.334019449930637,1.282961041149871,1.1454737966812407,1.0853115740300294,0.989913469542502,0.9502681988081668,0.7956343986588128,0.8053684634759506,0.9039842374440226,0.791716044315409,0.8251874678196688,0.8282743051141419,1.190678581877928,0.9932929246028096,1.0299372146845551,1.264834224304535,1.4131290846708302,1.2642844799109376,1.0817534778163014,0.8649604015156896,0.8438427212197849,1.1160231125166928,1.0432146019325128,1.1751820699853703,1.105231993187459,0.8719817961623062,0.6650114851354674,0.5532555533574632,0.5588244960074201,1.144471413121104,0.8623427334014504,1.0447166629764777,2.139329599882689,1.0824864445330156,1.255964348456482,1.4627011304475477,0.791504330730404,1.4890921160919992,1.2787334760175115,1.2676789037370326,2.000181247645011,1.2230699525350466,1.7475041403348062],[1.3847337285857355,0.7653624364392541,0.6756836109086359,0.3639887032890667,0.5965496476147417,0.38215848288549364,0.3437224339130627,0.46821043160221754,0.3819740625549475,0.34009087191408216,0.3940560471137497,0.5304672057352873,0.3742116649233125,0.3722539995618042,0.48511964663172535,0.4238727959627722,0.4288481609736048,0.4180238531931099,0.49875746567236856,0.4548139844169991,0.462869099004267,0.4664659899954657,0.5987827938932931,0.735211570364346,0.6198663412250429,0.5021333287919901,0.4287828911942118,0.3964392045063105,0.4055853957985777,0.4089288284341191,0.46444169552243864,0.4696505826820123,0.5555145210193968,0.5058557478099095,0.448468204879627,0.40686639824565424,0.43100127124401927,0.37598030273695165,0.3844960734313275,0.4241744930843752,0.5479529577927166,0.45999686510675886,0.41463441086052577,0.6744128733805413,1.1150823856002154,1.814160127930191,1.941469842243327,1.0354370665895591,2.5287509670555077,2.5551947065949117,1.1344586939010088,1.7277824070972014,0.8661484297156297,0.7054631004842679,0.9155083243432868,0.5266341989147428,0.5681005794868289,0.5455023628824126,0.6518708562586898,0.9245625347658137,0.6382251053352644,0.6043170693997392,0.5539136621135972,0.6755229568733687,0.5209659913311264,0.4854012232566616,0.679414547266285,0.5420626113881275,0.7133496939635403,0.6452080826361144,0.830746805289842,1.1028887375387582,0.8083623202986588,0.906074353346495,0.6094830265436312,1.0329065389456702,0.5216070998119586,0.4826958936897813,0.45055683999379537,0.4647660167648003,0.4768166581528678,0.4893800589794989,0.7208224993745107,0.5577727934892024,0.4601667491753766,0.44750076068529376,0.3999569313218114,0.5237301920522484,0.4109541364677778,0.5375346334566817,0.5004647302628216,0.6517032512588536,0.5475906270514255,0.49140701996539726,0.4753171754269345,0.5585086600002379,0.6056871063496547,0.5302156480050693,0.560614162410874,0.7684927909493566,0.6041854067147693,0.8021376518475942,0.561806035602732,0.6828351597482606,0.64665944004962,0.6407335947332287,0.9011117547012771,0.6681693000015891,0.6860508514505606,0.7624742384564032,0.6508740429505213,0.5075450405833616,0.38423111636638607,0.3934052478874142,0.37603105287688304,0.41271471748629096,0.48842017369550894,1.11501354033931,0.5972156163826428,0.4827157392728274,0.4577506208050691,0.4122054355295171,0.5386590459829371,0.3808206221818729,0.35944682443944825,0.3907546598822034,0.4406921119434691,0.486305069536092,0.48995149929574217,0.5730037110125047,0.6385908415818297,0.7344737516179514,0.626178956110003,0.6589569307864861,0.5254420460770992,0.5207473605979152,0.7321444208893778,0.44837198059959665,1.1335953140706967,0.5502858444230827,0.9044571858788422,0.8440737944838335,0.6682933290198098,0.49460650727009714,0.4348570512295068,0.376044954542664,0.3742276931608832,0.3780298397706683,0.4023175979161083,0.46034155355235373,0.6318043290541968,0.6145035708501106,0.8529241333906372,1.0496543589366325,0.8557269213712905,0.691582782121641,0.5642299514329929,0.6219061258785706,0.47791001539525807,0.528812153408229,0.43898862700393776,0.39001931998601047,0.43947208301001933,0.4122859337690098,0.5273478666653552,0.7017553148591342,0.5822456774292704,0.7807224867724181,0.8370189958903538,0.7825788968627031,0.5892619889260781,0.5562560097099519,0.4578336817760214,0.436149073133412,0.4279095628339518,0.5214279374731514,0.5129677323965053,0.7590101592781192,0.49949999963870545,0.5985375191285274,0.45179390035479194,0.52245666988191,0.5683346569645209,0.6153993954691244,0.6638608888038435,0.6462396682369054,0.5890579437288309,0.9909177814897621,1.445628582964507,1.1844429974153818,1.4038238241690746,1.2343109133430141,1.108161531529452,1.0428364624799364,0.845617763774626,0.9221306147268769,0.9598604943766378,0.8445352211973323,0.81105953518267,1.0941015435295396,0.9378470157997202,1.0970504721045589,0.9613501733696507,0.8891633063638407,1.0743648561607297,1.1676689634336461,1.0493964652588517,1.0220128385796254,1.352394263823474,1.229444001658874,1.0963339642109415,1.3030214555825594,1.5224574873534098,1.2328565587935487,1.2786913272911986,1.1040350888361485,1.3890574582477921,1.0597489565420497,1.0348949769390545,1.1593973535855133,1.1084988201637602,1.7467733270689025,1.306490343083291,1.72337712598615,1.2212445997622077,1.1909646305315222,1.2656325096806222,1.125438116849131,1.05337146122304,0.9415777686146094,1.0307015319864552,0.9576041158821005,1.0582397083676613,0.9202272932029768,1.0009136626456983,1.0933775946230107,0.9990897875477338,1.0026746186242714,0.8132914589319651,0.9655382265510851,0.9875923897408473,1.1502530997344502,1.2982935933965833,1.5471612378286606,1.5208646209758936,1.3689794182068806,1.417825874871032,1.5909124371373435,1.5371173597999048,1.433651835059152,1.6850290596293163,1.798917224940537,1.6188294618883061,1.6597122467882823,1.8573815362271695,1.8939208211157847,1.662825496843166,1.7032540603729474,1.482544680320263,1.4521941171673651,1.3856348951966724,1.2665151365842398,1.2528462266769858,1.1450552650090913,1.0876781311198969,1.0364008478107725,1.017482685937156,0.901657262960027,0.915864444277743,1.0586748634761272,0.9465819536189785,0.9822800833014234,1.0090929078575492,1.3482211058113416,1.1491651234704365,1.1753578801090296,1.383880543421026,1.5161754647003785,1.4283937322961413,1.238999492567921,1.0204192847699647,0.972511789907694,1.2627393935314306,1.2070427407051738,1.3236640640369597,1.26213344793476,0.9959172553505031,0.7215938535513995,0.6290467028618677,0.5537816380815473,1.0943499802082468,0.9242299115481959,1.1128978277875252,2.064940534744766,1.1950198835551187,1.3356584619145424,1.5160562684325019,0.7798889114402618,0.8974081182053535,0.8884772237934233,1.2094775919349021,2.0331375395698483,1.2291687064479893,1.379023856228531],[1.3786137996982812,1.008147154717016,1.0490188782754792,0.6405913275599184,0.8597463688452438,0.5913835538940502,0.588336451119002,0.7328090104661699,0.5956043381231289,0.5785100185953966,0.6015528436054823,0.7299776490297157,0.6382676077208727,0.5495830951173881,0.6500402292037566,0.6511578003872981,0.6361064415390241,0.5936810213143404,0.6353478055007726,0.6053720161517365,0.5961786626229015,0.630943936889447,0.7026633479558894,0.7615887236843296,0.7017803751459649,0.6007562881412437,0.5628384018502868,0.551419206615865,0.5966491687996047,0.6485308253484586,0.6841527592987081,0.7393798007274417,0.7976078113129988,0.7366502574456665,0.6958923656269815,0.645699546275506,0.6884787044080067,0.6027884108722089,0.5678115788281682,0.6237515908195659,0.6485570808006659,0.6508609405562786,0.6273561348142794,0.8281193306882906,1.1876024130129825,1.9158485815675892,2.0324494723435094,1.1591020998706265,2.5762771305514622,2.6493394695786705,1.209961225638989,1.8034137774792647,1.0279678343976277,0.8139041890342954,1.0218207648849948,0.7016498131492036,0.764035022147824,0.6995057641922038,0.7818133161711717,1.0237943136291745,0.7983155539076014,0.7476516113360908,0.6897111033522556,0.7379265500934918,0.6693098668731825,0.6307856632920269,0.764137234633065,0.6745804968871145,0.8017359764382455,0.7637753212303731,0.9079974524465548,1.1703628198686946,0.8859231713845707,0.9360389821884222,0.7433818417413915,1.007832845704558,0.6512466836808921,0.6823897128032596,0.6796244642560688,0.6753026596900233,0.7075150189613935,0.7182254463782047,0.871440540343394,0.8181063114182596,0.7103643471599236,0.6687428199135882,0.6241500334548447,0.7372849876828573,0.6483207348441344,0.7563280253477881,0.7077212502426731,0.8128813081125973,0.7486030662075946,0.7027656191168642,0.6916105423789182,0.7153991879058149,0.7600234062300149,0.7660844450306974,0.8081690543811222,0.9971363351084239,0.8438678706623054,1.0346585441668912,0.8198050862238904,0.9229758885223077,0.8806636470918899,0.8626856872331107,1.0603600903192367,0.8843586982714691,0.9001899832046969,0.9157137961851397,0.8200865921085035,0.7411440305283787,0.6356829821997756,0.6130120895445851,0.5806059570172925,0.5334344020066143,0.6117052369478667,1.2134743724707149,0.6066178188039927,0.586685798945017,0.5591686975892352,0.5697440220495613,0.5809193206587377,0.5041073018423856,0.5203771716410737,0.590843461844376,0.6653076354547862,0.6932209415978091,0.7226327672421914,0.7836277304140464,0.7021073132779855,0.8037402391977493,0.7226568535127648,0.8205507754132925,0.6798253858402172,0.7532673512867085,1.0432127065298278,0.6318827530817271,1.013249204638683,0.6218958933500093,1.0849788496708515,0.966570048118006,0.7420948385520051,0.6296665948779079,0.6115027369283028,0.5501369590622577,0.5477929631126944,0.6129716147591279,0.6632305398162542,0.7270074769769992,0.8619069070465231,0.8634174234095384,1.0576458319406108,1.1427982557309275,0.9974422093504207,0.9334658046798271,0.8225608516227021,0.8726977054774407,0.753192168341851,0.7639520314698467,0.6555551286083172,0.6035403593874135,0.5773641796731415,0.5812123325492837,0.6269121328042688,0.7302248132257214,0.6587140949611213,0.804530010720036,0.8518242540228997,0.8023164542250025,0.6860452039189059,0.6348006209195377,0.6386649074489267,0.6479243293296267,0.670673650725751,0.7663506173695921,0.7797926967844996,0.9898200345110602,0.7492191839954215,0.846058924850831,0.6791344252225308,0.7395465603394545,0.7363014402291552,0.7478724131013076,0.7613215208949314,0.7674400965949909,0.6579237074730089,1.0241517140488532,1.3527877662577652,1.1289171717996072,1.236122064544558,1.0594319259222995,1.0037926556156056,0.9662484305138195,0.8233686525645489,0.9068630345580335,0.9773043380189279,0.8239202628271691,0.807504860479139,1.0148933542976755,0.8840702031687331,1.0225751539326469,0.9019053117511685,0.834007145294877,0.9949260705192543,1.0625959374274339,0.9480747522598042,0.9406507881944028,1.2347291755552585,1.110406173469558,0.9761909365084763,1.1765639168553288,1.4111444389038479,1.0951141833462124,1.1680563350187199,1.0119647432800325,1.2816994686359888,1.0236681671620458,0.9899042318884655,1.0754544597276081,1.0592947950905018,1.7306105769420448,1.348415116732411,1.7270224385470836,1.109375712186781,1.0774052590352634,1.1876321956253164,1.0620512212663344,1.0008221006951354,0.8999386618678886,1.0252888092556163,0.9902276661183347,1.1194535414514453,0.9570318729624204,1.0057158122661274,1.073722524698375,0.9447230045958075,0.9746963183013014,0.8131911935860224,0.9346082020364527,0.9327284213311617,1.1014257006082055,1.215836647067397,1.4621013111865775,1.3921848266134413,1.2779362823124218,1.3089489237364444,1.4455133594425034,1.429861031830912,1.3098027603900664,1.5263144871080445,1.631243849803601,1.4767362764665648,1.5156467679031855,1.6874987386812499,1.751176879481123,1.5180969744378088,1.555898783194347,1.355262062264364,1.3305026166866938,1.2630893953652893,1.155557751921914,1.1467111328419957,1.0517180006772435,1.0164365167275329,0.962789462755543,0.9472330897970817,0.8644665918699107,0.8970046333402684,1.022930406394234,0.9216882815813834,0.9554971506240818,0.9980835720510047,1.2921160756296606,1.13273981897481,1.1888936663562935,1.3756286483673337,1.5191047665069248,1.4548790252354464,1.3054622773430808,0.9830057496244483,0.9200169856708915,1.3507915609608159,1.2312382798845696,1.3541019396543386,1.2356483363224462,0.9657365558639786,0.7976223214776672,0.7254603410420221,0.719713325875715,0.9878331884549519,1.1294259546647138,1.306658539251428,2.0732377039149363,1.4355356817890905,1.4974623263979225,1.5856533429421054,0.9381203677013137,0.6076827847966076,0.8695613265850713,1.3418172442018814,2.29628547240704,1.5545692653533432,1.614825520032138],[0.8535204253029332,0.727746790248679,0.90401351042686,0.4362691328893282,0.7907130580544871,0.5189555725737437,0.5305977372516834,0.6746055005048519,0.5157190729871882,0.4846427294038498,0.4822985598900132,0.6197410809653628,0.5413515365889855,0.46402870626254256,0.5233064002559598,0.529792195253541,0.5351367005819823,0.511632078047674,0.6173522493767065,0.5609480122338517,0.5549003182986642,0.5879868360751772,0.6879598840161493,0.7691982326882826,0.7315112713246819,0.6002712551458887,0.5499999097518662,0.5362610729350926,0.5526684315449241,0.5523059388904324,0.5423307189550085,0.6194018738649829,0.6546248857928713,0.5956657650725355,0.5765251968889845,0.528011238645229,0.5919524393921577,0.5336251164320904,0.5271276363567612,0.5975045166687103,0.6462197952965019,0.5782784809205441,0.5320587990701694,0.7744660253720276,1.157234493438074,1.9383371944738228,2.113275590454712,1.1959622740834295,2.6508974459871224,2.803785124684068,1.305012928318776,1.829860938247983,0.8760368354380111,0.7242245289146819,0.9758302082877572,0.6767707826803256,0.7715213129430107,0.6890689845431561,0.758099469021498,1.116782004437848,0.7824002827669692,0.6815620499271796,0.6234654235019637,0.6536318756818114,0.6284748241795748,0.5646152147983786,0.7219286667077967,0.5966016403754191,0.7523141422864468,0.6881638854016853,0.8369378147207128,1.082836903119621,0.8095545526790776,0.8905421229517277,0.6551664200886204,0.985209496688063,0.5823286996134973,0.5590661391642355,0.557345597650798,0.6039664669085192,0.6129123549591318,0.6523856425865925,0.8017860709206475,0.7505210138687001,0.6388223302780087,0.618967967153085,0.5530073886449951,0.6482885369264739,0.5419983295451315,0.6311316488451906,0.5785033512231713,0.704772951609811,0.6124005685792908,0.541035343066444,0.5313642257580664,0.560926299101778,0.6196177936127123,0.6143974129400656,0.6790989344799527,0.8907444184866334,0.7586418011557747,0.9877826646974793,0.7553308672664787,0.9039670365776797,0.8730481075357542,0.8500698459015864,1.0902275063319242,0.8975440118786496,0.9086694690481527,0.9657998910042231,0.8756089687296466,0.7305003242156776,0.6083081288450282,0.5664060453317649,0.517420759312548,0.5478136819181849,0.616311508803172,1.233398597648814,0.6902025726313973,0.5128119084959719,0.5334153977359006,0.51748401517324,0.6145059500978208,0.47717821829140905,0.4795172944457978,0.560581152362196,0.6644881272906926,0.7129805116330717,0.713433157754976,0.7783282872500485,0.8315431412602475,0.9715377509766203,0.8845403960914754,0.811767308814145,0.7269671232019241,0.6813313748765013,0.8734713304274291,0.5816715334908196,1.1245288018168427,0.667622642581084,0.8772543760924205,0.8927076665724359,0.7973643795125871,0.6512801295227615,0.5890612084025478,0.524641865691829,0.5301660709540457,0.5537898788843898,0.6194406693700947,0.6773812761175493,0.8276411140518088,0.8003626767520982,1.0164607573979396,1.1171341552087342,0.944747620802593,0.862597062799931,0.7463338456091269,0.8359136233829269,0.6868875099595066,0.7448754692942928,0.6201495885337331,0.5551281606317535,0.5909372626702127,0.5636276028854915,0.6545046705712598,0.8242541698426429,0.6778795219480684,0.864174457623359,0.9194140346960928,0.8442468652511188,0.6887140693561141,0.664432615912934,0.5879004775644971,0.6220868755621312,0.6360620411138537,0.7350505627775202,0.7040574906165854,0.9098138492697548,0.7073109587600479,0.7838900475222352,0.6621992857557345,0.7333505962172678,0.7785752293158346,0.8267460463680338,0.8710733689946175,0.8416964580323512,0.7449358326409055,1.1554833535623354,1.514252443270028,1.3494343222447374,1.5201278646794827,1.3567558400004316,1.295900712626319,1.2476873674510047,1.0741911973910785,1.1622737736131883,1.1391600028804045,1.0180830013296989,1.0086688157318728,1.2392665681059236,1.048948452427766,1.155537446141005,1.0806482902853556,1.021708128466475,1.130287959868062,1.2173953558800692,1.1604223709702217,1.1085599683658365,1.3450326086064233,1.3084196493053202,1.1827474498240658,1.3385810371018325,1.5608512182107257,1.3094132649131076,1.3281666766251856,1.185206459425599,1.3174095304120816,1.1152146182679386,1.0966042339180617,1.1574285463386613,1.136821461942181,1.6803177787661396,1.2492143600129382,1.5641440282157533,1.2190698833918296,1.1828371824948583,1.2819220667943663,1.161901876825556,1.111701226612441,1.0428442651931837,1.1108787309740253,1.1236532255734872,1.1952275206881329,1.0821018180407207,1.1211695125190833,1.3213949141939654,1.182005539458588,1.158169536185029,1.0084135014982165,1.0991640895061277,1.0665692967101343,1.1712705862477704,1.27680232958018,1.5053089146541345,1.429506069042406,1.3430501202399432,1.3570892060521564,1.467441033202445,1.4627973788780801,1.3747118031597063,1.5488460502200485,1.6441063801021405,1.5338645487525697,1.5512861449180402,1.7028923294251892,1.7918606576691054,1.5754052433276535,1.591542895322209,1.4139709879305282,1.3757971773124908,1.3384077456865977,1.2337380421861739,1.2406544657508096,1.1771767833793794,1.1267539268977373,1.0928053539569411,1.086360391723625,1.0348251303108762,1.0462738577692932,1.1689227191186968,1.0788038536200657,1.1555022305563827,1.175149519921643,1.4678775943127562,1.268436209023104,1.288220884313777,1.4380821896587106,1.5476342777111454,1.455573894089787,1.3029847077060135,1.1460930094883863,1.1267012431770966,1.3234180471646857,1.2990069859659374,1.3978447908829132,1.3383519410051188,1.1418839245451098,0.902359813433026,0.8466193900537545,0.7654816880923748,1.1784298665758641,1.0802038080609278,1.1739424429407581,1.8998104838846674,1.3380640897769016,1.3677592924207842,1.44981285141243,0.857753839828522,0.6298432646560678,1.0375267437221563,1.325448564253499,2.294496200115014,1.4044897858951881,1.5136133830715242],[0.8795911503510297,0.8509313027779328,1.108272213303044,0.5701989247395357,0.9237623107688259,0.6594202384289624,0.6815585829302697,0.8301946928504759,0.6214392307387441,0.5964547257820593,0.5751173700474355,0.7270456578831527,0.6735131091835722,0.5500755101250313,0.6324778928398151,0.6603665378326209,0.6487824765194349,0.6205725434833705,0.706751199697646,0.6801737056716205,0.654462206810653,0.7061903516791235,0.7811282938627475,0.8486931348899945,0.8201213570100802,0.6881674333648677,0.6705028587578798,0.6550911649093949,0.6917687624305607,0.7098426829032657,0.6639497412245776,0.788296149970973,0.8119318817015426,0.7503655416273818,0.7458919756482909,0.6936468602483575,0.7679320365756516,0.6982763330060867,0.7030382649627549,0.8005824004825488,0.8194716183602411,0.7159610265637781,0.6877701091123174,0.883636803813777,1.2542336586372762,2.0959419718294976,2.2598758582182716,1.35529448705105,2.798728567551639,2.9943094194202575,1.4894348255307093,1.9765543534324617,1.032144328930998,0.8819440607838069,1.0967918471611138,0.8777409066502592,0.9481798991777074,0.8268394766994224,0.876069064783745,1.219463731404291,0.9012427299501135,0.7928249114824291,0.7244693260344062,0.7313498761946937,0.7362567707073255,0.6868164015480601,0.7645469957237385,0.6871625415773674,0.8000475365915807,0.7392212463493028,0.8727537996780911,1.088177438235756,0.8387487803511837,0.9105246734937635,0.7264805706894139,0.9711815947861149,0.6949371601688533,0.7074432949173171,0.7184594661508019,0.7679666767156026,0.8089331005518553,0.8520421542684639,0.9588114974985342,0.9795709793223949,0.8640774782033595,0.822092096188995,0.7336664322795425,0.8153241433399,0.7054952116537079,0.7823851947370409,0.7090590611158506,0.7822663939380913,0.7135798422817725,0.6728352249754751,0.6577632410742503,0.6679618800949417,0.708234041919116,0.7588110642150132,0.8342207616242717,1.0700895373996886,0.9426296739347398,1.1632093951878462,0.9580518038367823,1.117510347946064,1.098172798012121,1.0548884012847932,1.3106457093331507,1.1371526601660185,1.1329016520077864,1.1580784174182965,1.075835382529669,0.9352470187930156,0.788764349028111,0.7226253550235975,0.6469104367141336,0.6704125791757876,0.7233309322038574,1.3080097164328524,0.7427495187445451,0.5857447987157571,0.6009717671469647,0.5991885300786761,0.6944001500366076,0.5879858791681671,0.604822231360557,0.7214799079124364,0.8441237421112223,0.9041023013269947,0.9201482533658357,0.992961115209363,1.0402075720890285,1.2049110651594297,1.1205814389368678,1.0295464367781895,0.9483953851814744,0.8542340888660421,1.0139762465803621,0.7815939937791648,1.2353778607162338,0.8352377390074368,0.9739890006998383,0.9869089396011627,0.9160881036732679,0.804085897274563,0.7414711949001043,0.6998729718868681,0.7062973782488008,0.7065603504546909,0.7996454965783418,0.8395481630309225,1.0006543527550489,0.9677872549325679,1.2005365862293806,1.2466363329200383,1.0934715683198866,1.0364001342434725,0.915005485309927,1.0266258938042852,0.8708141259338792,0.9439310077139186,0.8187785726359292,0.7320437861630894,0.7764608233667923,0.7581304799342309,0.8439492837287917,1.0051903044877724,0.8706879049393028,1.0339182263756568,1.098893490000717,1.012971410347918,0.8946392261627393,0.8676039637204326,0.7951759078177737,0.8418318882346699,0.8490559095281255,0.9431318145517129,0.8860931719794424,1.1005555614745637,0.9235387478637397,1.0154530923095306,0.9026717971941209,0.9576730782519159,1.0083417329565243,1.0416039074898642,1.0719165631065952,1.021933025957704,0.9136513214920438,1.2585635493941132,1.5893291677690673,1.4801157396899227,1.5641829214244685,1.4365796604162033,1.4168206644318424,1.3894815503644034,1.2625311873977072,1.3477553183477666,1.3024617968714145,1.2162949686067395,1.2246970451920833,1.3883633164839255,1.2567561428829643,1.3212582848088474,1.242471584226795,1.232707227388084,1.3306219053073571,1.3653964656229864,1.3090615519286402,1.3153305584024035,1.504812491604572,1.4406369336286624,1.3712749367849972,1.528362729375436,1.6913260005469277,1.4269164643153462,1.511660032309895,1.397859413000998,1.4786766962299607,1.3613621177074187,1.341332738320991,1.3759168084000155,1.366956043250959,1.7785176589761211,1.4388900918825378,1.6906685898746352,1.438079764821433,1.4127555665565463,1.4862002342966145,1.3947048671868898,1.367725893401251,1.2955564341148802,1.3385249383438222,1.383459632676139,1.4330216352627299,1.3210478597454485,1.3309924999816516,1.5808616768256973,1.4172646247465903,1.3331961252366609,1.2534414290106501,1.3103259793272262,1.2779341996112077,1.3747591352646373,1.4351481712602774,1.6854454721053358,1.5467174088840816,1.4877319375519977,1.525022964930849,1.5901986497105138,1.5699490350318244,1.5123626886566466,1.6625697991149297,1.72567790349141,1.6408180559900367,1.69062649197304,1.8140516399632782,1.897724559364653,1.7228401346325124,1.747101898275216,1.5894848607910492,1.5568006052785779,1.5179400541905326,1.4479686378900514,1.4583510859503181,1.3915039383683272,1.3581664623697043,1.340827339760856,1.3343398156915667,1.2918040139193319,1.3065989870306836,1.4150968191204807,1.3402811863320179,1.4038320675610774,1.4384143152724236,1.6910702387474716,1.4978114152297581,1.5225118943944222,1.6344095706852777,1.7498668848969339,1.7082739286998936,1.5683844170921875,1.3957658001712976,1.3041384469314217,1.4953341069274668,1.4766905367919854,1.5861357697964393,1.5087034904549512,1.352808734686742,1.0934951415498289,1.0664574927467025,0.9588048031135717,1.2726786804679295,1.268631814681912,1.370640370272217,1.8513274084750058,1.4629041964339276,1.4927879404934126,1.5273971440130198,0.999280614577135,1.0640902189039276,1.5476397682279286,1.6127602915962913,2.4583430513048112,1.6117212331555608,1.8632587557712632],[1.0807111188301233,0.7857764730768507,1.1542434908060515,0.6653714373159249,1.0132396195639382,0.7398085863682293,0.7562052571491924,0.8756402843504696,0.6815884768228258,0.672134171098444,0.6435993166763999,0.7682240526107549,0.7438818725602202,0.6359999308747323,0.6862527839681798,0.7259933935634487,0.7345165889541843,0.7216024857243625,0.814369073425616,0.7967480866881974,0.7705323003274978,0.8258698507592176,0.8962876484107054,0.9647617646095382,0.9265620039228806,0.8045162664834964,0.7802506677012737,0.7650389349619646,0.7880175097842838,0.7743310512264497,0.7284187195314981,0.8174664463797465,0.8339419099682841,0.7834711518914986,0.7937351540449542,0.7654560910043433,0.8295099533699082,0.7962710944624716,0.7944586507239205,0.8786672157689563,0.9181445145129642,0.8337741996676789,0.7963412028842416,0.9836707315036849,1.368684191628924,2.1982372579295073,2.3975769163986507,1.4736859885296092,2.854502797034715,3.092500575275023,1.5969042031742682,2.054222309971117,1.1044588782768698,0.9661253469430215,1.1547503338308496,0.9598262379922936,1.038812859062042,0.9122816446085321,0.9445347157743977,1.2991759682004629,0.9912634876047819,0.887010365462,0.7999951172720546,0.8102540209509728,0.8647785727949959,0.7843487867066034,0.850901299993553,0.7780126498511089,0.8641811519600089,0.8021723378176634,0.9309333243316437,1.0980628645869779,0.8698726700718173,0.9681339641093398,0.7798305354744531,1.02483739233883,0.7686237704332579,0.7604183435187575,0.7888716915459488,0.8495889867509682,0.8647208135792728,0.9229585921440899,1.0127543543162603,1.0137355036173772,0.9261336325003442,0.8855421527129076,0.8166838099257712,0.8666339023478501,0.785092928101932,0.8386281943568761,0.7666467321952442,0.8622532727437281,0.7751089977656123,0.7125236218661956,0.7076789041372626,0.6915303870836697,0.7354736997931042,0.7736925699926933,0.8408079728604941,1.0459404380134862,0.9468374896915731,1.157530289766296,0.9770984233663779,1.1214627823103402,1.1274339889771399,1.1032759895349595,1.3236671726171254,1.182220228901613,1.1842845360767318,1.2034811499605482,1.1384655429479884,1.0035536285988087,0.8584096212381497,0.8072959600556463,0.7352667308955454,0.765714780335881,0.8299339404913233,1.4155536036556768,0.8588073278851485,0.6951458761047193,0.7201408276106998,0.7049581487603964,0.8047534754044418,0.6931040968124217,0.6986782673046763,0.8196964240972494,0.9360938891466414,0.9843263513853445,0.9959551713130921,1.0513886078059262,1.082752907009441,1.2371674998169497,1.168592469578873,1.0756886647269963,1.0080179837817742,0.9439062393841006,1.0831626514035781,0.8663044846673004,1.2509322841580541,0.9264555323755325,1.0480761384829773,1.082748556228537,1.0110958436547925,0.9138479681225631,0.8528628676091945,0.7864466287679676,0.7910107869072228,0.7755325841774237,0.8621951089998248,0.884903181490662,1.0484087533594209,0.9787554425558732,1.1819775321371182,1.2636883205755534,1.1060912540724808,1.0373152057649733,0.9250465108729298,1.0481388534925897,0.907091643147962,0.9956436976156541,0.8864059768284683,0.8087817995204714,0.8663233877580581,0.8449569241672478,0.9299153259801154,1.0708805511674695,0.9451973788789663,1.105947013988349,1.1527642948847212,1.0723159903013297,0.9642848882750156,0.9210213702908928,0.8625834786239072,0.9024167739649623,0.9175954606167499,0.9888020940148331,0.9327930745274238,1.0980931167022574,0.9783342128406808,1.0419354846397948,0.9503546664556304,1.002155280177573,1.0481409806364048,1.0816153796592018,1.1156939396838754,1.0790997887849685,0.9892862942451837,1.2975479149278577,1.6253002562424166,1.5263124778452444,1.608258502948344,1.4760365469369432,1.4696771942542726,1.43729500850744,1.3141493977480228,1.3976021721932328,1.3281276296928122,1.2427403829210508,1.2512786672454492,1.4278702898669642,1.2426762705401704,1.3224817307064172,1.2803433428953759,1.2414269341745758,1.3001095088021977,1.3719803054000945,1.348761269645457,1.2883502423956954,1.4471119744881218,1.4734272541872704,1.3765982367815193,1.471865261783423,1.6746972438426164,1.4987106336220257,1.5091485949623302,1.3811967903287883,1.3586713601382328,1.1701504698076932,1.208409484471459,1.2244610552858595,1.23050388579555,1.604890268217781,1.2563440322526676,1.5038736695636052,1.310272229516323,1.281007071651972,1.3928111802482273,1.2997967606770902,1.286092780515218,1.2301034819050862,1.2901249884144355,1.355679229029801,1.411672618785368,1.3107646495736018,1.331060611199171,1.5552898209131187,1.3850049380115665,1.3463893872162251,1.2486402718487122,1.2957009866289275,1.253115329888566,1.3236933134068816,1.4006044773674209,1.5656911489910241,1.4751948099127552,1.4374314106465187,1.432806893301686,1.481132115494947,1.5091530102180897,1.4403950617405954,1.539830937245808,1.6033693629544346,1.562608832306675,1.5578324574585432,1.656596617239051,1.781761008440735,1.5929155213053698,1.580174005164624,1.454308307121667,1.4187706058830847,1.4109587115121565,1.3133595734877317,1.3277494176328977,1.3079330050997027,1.2697808422732368,1.2222704147725638,1.2226085251758412,1.2249172586102184,1.220401508581803,1.308921893513086,1.2538370362358762,1.3531765069819077,1.3271916816950216,1.5629255471715846,1.3903063670438545,1.4223872134714177,1.508411596422893,1.6205595769289578,1.474600460202906,1.4294136027912863,1.344282065617192,1.3685081809212283,1.4777839124133547,1.4779614135872852,1.5567329424380005,1.5077898718701435,1.3456427393825092,1.1658594823726698,1.135081341020654,1.033937956789633,1.3105744445891718,1.314635851461435,1.369799903183331,1.807335918976822,1.5051065870096465,1.448803948714557,1.4630659395380223,1.04971741788507,1.1524143183431617,1.6213690538106755,1.4572911149356969,2.411618584844891,1.5603919318723178,1.8928402344939121],[0.7751607877572295,0.7418587723932838,1.0560455765401315,0.6163500688353771,0.9358940522089493,0.6959144180704246,0.7285008437908833,0.8416814676333984,0.6794389749748744,0.6786321432912714,0.6587728723958047,0.7702317637368785,0.7403023588031529,0.652959830121839,0.7110812359784676,0.733895394686954,0.7401917762755192,0.7221603127051192,0.8121028227939793,0.7815608451024092,0.7524807620544448,0.7933916057754656,0.8583288744595754,0.911254403474345,0.887557613298069,0.7702386930573241,0.7594823554170228,0.7501821843710957,0.7776336063137173,0.7658676899376392,0.742252680772644,0.8156039698898137,0.8382858832150705,0.7864507046095853,0.7874011002705938,0.7614312332608891,0.8080598572838973,0.7676167042351647,0.7604743397541516,0.8296936280753675,0.8740862699856952,0.7996168610707605,0.7631601242156105,0.9371688647353692,1.2784602570447372,2.1145963053309247,2.267237893553688,1.3837896029030214,2.813512172151459,2.992254839000494,1.501878316140722,1.988028808878118,1.0549832167577289,0.9090891076046379,1.116155591163893,0.9117198768393242,0.9973237600631246,0.8778014903616772,0.9137249824783099,1.266274766836792,0.9705733970725641,0.8732584740659223,0.7933725199259313,0.8091444915617736,0.8330510244568246,0.7667272796273379,0.8550381825704939,0.7835971749828831,0.8850258767780075,0.8219514486243054,0.9617632071154334,1.1278902927476955,0.8891736954589803,0.9788187012691676,0.8036628149431208,1.0054833447316722,0.77251467001248,0.7734759319107072,0.7836927930440242,0.8320891416516246,0.835686232098388,0.8807620378326931,0.9532500546754906,0.9488000007993926,0.8627384078657869,0.8441052323456377,0.7861030608683908,0.8448467379588009,0.7783880790742028,0.8343723374776417,0.7761741152261236,0.8659819926794882,0.7930015221443969,0.7335397214647386,0.7285138646518745,0.729687487915067,0.7699531302776275,0.78783438006196,0.8442818475679607,1.0271787368858354,0.9282038953271471,1.1052688903744217,0.928401101533298,1.0526595784625852,1.0250562080728414,1.0019436346250792,1.189402543926349,1.0279454376162327,1.035175506827406,1.0803795391920126,1.0243987052745842,0.9174713189237603,0.8124405713997821,0.7694803278931178,0.7272214124784715,0.7611532848099142,0.8211307627362996,1.3446804261514829,0.8166492263839081,0.6881544356561947,0.7132186477161206,0.7131160931892664,0.7794283680588034,0.6853501709365744,0.6866517943345428,0.7758757265977143,0.8568706524075728,0.9003650494562936,0.8808594470266474,0.9281321298891372,0.9614767701645507,1.075847433490489,1.0243894145184336,0.9402142128200824,0.8954887332045467,0.8437469101613208,1.0014964061789424,0.7937340784759193,1.262881723310282,0.8681818182826211,1.0279964654015559,1.0118892674807864,0.9802491792078775,0.8787293443900865,0.814057630921694,0.7667942688304676,0.771545195939488,0.7580772515539318,0.8215647982466411,0.8570089813175399,0.988808501514094,0.9407090235184041,1.1182691306888766,1.2280743000039127,1.0764549647345705,0.9955225810551401,0.8992725617357015,0.9938189918079745,0.8726330702292756,0.9285887069371086,0.8266907832299673,0.766367046732212,0.8157036907040612,0.7919211897049253,0.8645857774467948,1.009162243308014,0.853232536131548,0.9894132719422952,1.0464917285777213,0.9818330590604016,0.8657524924229657,0.8654538437795106,0.8007926407876625,0.839414807989295,0.846690547953267,0.9178618417521358,0.8876600005586942,1.0472820577221942,0.9049652515435006,0.9642998043988648,0.8782800076336377,0.9133914695095662,0.9486955977419772,0.985488519889657,1.0368732803113665,1.0155162147175707,0.9345967774427832,1.2748791241616149,1.6100082392386927,1.4794810416035509,1.5421970499518676,1.4192606847216878,1.3737364524580769,1.3336607808999783,1.1736589949491634,1.2352863918726016,1.2239294002133836,1.0822483917233385,1.0519737890652356,1.2843894737495387,1.0630027080340472,1.1855244995055054,1.1366765467038398,1.0413268852535567,1.1151325674901704,1.2330636061956626,1.190009019014748,1.0599726462008396,1.2851779175932472,1.315326762572028,1.1210388454867528,1.2252261973226688,1.5113564013586638,1.276462332796418,1.1779204750141379,1.0153774125003356,1.1423490913499075,0.9109976317972724,0.9386784266967622,0.9782259053342158,0.9828285721138199,1.6098068956068015,1.1114083651706532,1.4349697612904848,1.0923145857767997,1.0707023240647244,1.2203664782654606,1.1056302210000895,1.0433458478678725,0.9965219694988147,1.0957478539128143,1.0836903431378269,1.1626561277829544,1.0850104859960366,1.145133255572279,1.2871856120950929,1.1487623695331275,1.1763449595975102,1.0250887012211547,1.1308543836129186,1.0776298065616954,1.1631259516492753,1.2778907971444184,1.4380821105773605,1.398510925022011,1.3334762428866676,1.2965085744367069,1.3951570995514124,1.4386329101026079,1.3314921006598401,1.4481995232119975,1.5406694624245207,1.470292408262592,1.4221776172245382,1.536181608393387,1.679999241334377,1.420699737025268,1.394822653191639,1.2513864912681394,1.2302341118954339,1.2492294478655195,1.114008996290241,1.083893692644234,1.0757555552185978,1.040689232863746,0.9577940591869791,0.9493148240668182,0.9517596385714588,0.9290234525223598,0.9954574177748703,0.963835965356219,1.0781696700741992,1.0355648969539102,1.320313465885232,1.161787040573138,1.1992701554099974,1.3028886605335877,1.4438118176947683,1.303994491136221,1.2226920899385587,1.0585296685059844,1.1176802826825678,1.3720792901167174,1.306236148880603,1.364130997389729,1.3306160528828386,1.1457463049279721,0.9883113796402482,0.9403909501022886,0.90496396930648,1.2349985745766086,1.1991460475073439,1.252685298513486,1.8470695011687537,1.4559129388411187,1.3974505668618507,1.4410024517032296,0.9956712517924838,0.9946801598126277,1.4380439363758368,1.3430906910967122,2.349366725726979,1.5330742861652296,1.8540964039955117],[0.7331037767035918,0.5703862885758642,0.8643437934694947,0.44807805101789233,0.8202005531661728,0.536704694239456,0.5416209530328298,0.666922488908913,0.5295707599494187,0.49729723124265063,0.4965686987497461,0.6210404646882558,0.5512874203423671,0.4777706164103172,0.5286249443526667,0.5424267323773151,0.542734662807172,0.5291266314773093,0.6367011303471413,0.5803811249115371,0.568153099605114,0.5961398623653821,0.7121937947804043,0.7733238967394565,0.742291603908941,0.6033617518417912,0.5581455841815789,0.5507696044335386,0.5703887657338856,0.5496053513423684,0.5557304213590671,0.6179562266622263,0.6549101121542507,0.5865734935541734,0.5738011908824043,0.530862202592139,0.5909170842527075,0.5492686211889017,0.5347681967863587,0.5972233514536858,0.6456674891410698,0.5918264020727226,0.5493884050063851,0.7707849701314614,1.2009772271983703,1.9886706446250784,2.192418085251845,1.2222441430058455,2.636292294238665,2.81234319693342,1.3206564765275746,1.8583876648226167,0.9039076793456412,0.7608491008355232,0.9776589387610604,0.6952646099703894,0.7810433871797714,0.6811264851134728,0.7409120238035738,1.1224182617163947,0.7846136034194701,0.6866857229754025,0.609304315155163,0.642466659358995,0.6500637754292603,0.569895049969712,0.7083737784234945,0.6118133787109207,0.7461309829736513,0.6913376664510897,0.8338101620106957,1.038160454328187,0.7889155427416737,0.8840505678520587,0.6531122475738019,0.955408434763569,0.587272745185376,0.5605746749219004,0.5617509111319164,0.6012021250553864,0.6081397509450025,0.660840931468632,0.8066356696296794,0.7351702040146794,0.6360214490747793,0.6141770245042847,0.5616860984075488,0.6435037201841137,0.541236343360799,0.6274164457716283,0.5799698124171186,0.7146054499583849,0.6282047552308524,0.5463818944466924,0.5421291043377042,0.5614850941121304,0.6225124397258878,0.6103917915763868,0.6696386099507023,0.8492942689632517,0.7370296760009141,0.9534368707617115,0.7393319503505336,0.8817433807950205,0.8479413120787808,0.843531283293924,1.023726434899596,0.8972963989397059,0.9121051827896711,0.9400729100026333,0.8762447985271139,0.7306529986597698,0.6142369709996234,0.575627800024901,0.5305951468129952,0.560088140035825,0.6439213169675537,1.287236457126881,0.707868422792986,0.5204123492872577,0.5483339871208969,0.5310197011231839,0.6322844381258684,0.4891673295332511,0.4967152753160493,0.56936019136374,0.6885979014702982,0.7186523029693972,0.7189967398221105,0.772734810533576,0.7929846015400458,0.9148000068257736,0.8546689508435064,0.7889112058870176,0.7191960271486629,0.7188197102860924,0.9116346781496372,0.5881347788420642,1.0781787846334512,0.6647866971938713,0.8944892155260056,0.9064417620737959,0.8129590859789424,0.6734061104625394,0.6081464856230111,0.5370807278603055,0.5417998561501518,0.5608694449368087,0.6157295139509265,0.6679003997575115,0.8283774731797195,0.7723407590580411,0.9684584768327207,1.09840000522199,0.9317854609181604,0.8224243250100431,0.7196302767855844,0.8122779299704045,0.6754528043550508,0.7385310227907516,0.6111322061232931,0.5575017006067841,0.5870666587377998,0.5628616545228133,0.652888767689069,0.8195728385318987,0.6682126103206518,0.8477587034929943,0.8977176127971334,0.8240830949491585,0.6744862349215186,0.6397663243902468,0.5826501988274632,0.6186634499635126,0.6306404501987238,0.7222218595821752,0.6952929553500855,0.880421839078627,0.7036415225753614,0.7687024365963103,0.6408218358182928,0.7150399152950776,0.7522680116432199,0.7959664656091966,0.8388048910432877,0.8188709746808553,0.7367003163523588,1.140601089435694,1.5282841587865352,1.3412358780328675,1.51423202167544,1.3356754114515326,1.2852159430418222,1.2320107442622714,1.0513522458697453,1.1350933251519477,1.1073488194945285,0.9479088992721619,0.9289392743816216,1.1763383894121118,0.9431047634547224,1.090034342431391,1.0371339820233987,0.9273479634116314,1.0153326346658236,1.154005305371875,1.0978616360952071,0.9746127954756806,1.2224648725220904,1.257567143880273,1.0747664794848197,1.1933643999049677,1.47142899075265,1.2463354497933363,1.2013297815358412,1.0350754405812765,1.1415743589298089,0.8835820818107689,0.8826159574476048,0.941451418775123,0.9442848850152945,1.5572550572579686,1.0572326104299676,1.3753922245777774,1.000211964206508,0.971332624879372,1.1276165895149206,1.0069621425575546,0.9523371960835845,0.8925649565301388,0.9910281971581061,1.0119749220456276,1.095992972626655,0.9894773370350771,1.0540843105558764,1.2259258284384291,1.0664855949676917,1.0997138851021069,0.8996467690322325,0.9880830095278742,0.9539644848974087,1.0564027146256405,1.198170140581496,1.3448709318758565,1.3409831781216255,1.2523079590060378,1.2165534579588726,1.3431425949115223,1.3834863689535115,1.2671725327537253,1.4096012004641034,1.5234230958126884,1.4306133743688714,1.379625688047077,1.518576437704053,1.6611201911820268,1.3908010863985045,1.3675514440223586,1.2065404427343238,1.1707535923732362,1.1743297470793472,1.0267034401908424,1.022945307263193,1.0001327844732921,0.94278243834055,0.8786085408549171,0.8777013017228803,0.8545300801229389,0.8558239832257796,0.9767974768929676,0.8996844863231547,1.0029619108292842,0.988793520704622,1.2834839605227515,1.1164124043079449,1.1294512524774667,1.3187499889660095,1.437016863687764,1.2288934325333836,1.1030898766499144,0.958805004905629,1.024759387000585,1.1954910749707568,1.1884856588221302,1.2947226344976517,1.249331928334538,1.0200500991478618,0.8762012793143763,0.8299731603956485,0.7578060299721128,1.1532971761188868,1.1002832413256947,1.162739349069386,1.9145064464505972,1.3911424694696144,1.349508334841986,1.460930061766388,0.9463493425262829,0.6029341878984601,1.060932309098507,1.1004767935237627,2.1423012533358357,1.2960513622800562,1.4736707627414398],[1.2144788954243229,0.6103012049914761,0.6005924247748614,0.2940252604230439,0.6282863375111856,0.39549319244401454,0.4031423089890752,0.5402611152197074,0.43370604392631357,0.41269377075550123,0.4249902644960745,0.5505195859543863,0.45131713268028684,0.41174009924708754,0.47880179399860656,0.46627522029990515,0.46619855115440245,0.4549143728235472,0.5571126334177466,0.4989631671988591,0.49490776705258327,0.5158830518455902,0.6301043838226102,0.7126465801400426,0.6588901126594949,0.5235733094076311,0.4630335675813562,0.45997220282552065,0.4737666279852642,0.45006225524974736,0.4869200781916709,0.5259643662638134,0.5823685613471411,0.5166031099838073,0.4851889451553339,0.4415850248511419,0.482721335823042,0.424246747247915,0.40825377960661446,0.4591809425040791,0.5585711922968971,0.49072375365704635,0.4362648005994427,0.6875497639951724,1.1112067754803638,1.8680064108916816,2.016121503791658,1.1109189432329274,2.562745012219918,2.657824176438476,1.1842682358631749,1.7455645297862388,0.8098638352803347,0.6425511388088546,0.8965128525879744,0.5634988185446295,0.6605048998599516,0.5748444966103381,0.6652723550597025,1.0259841041846485,0.705513078185016,0.6233714295636624,0.5529616369439353,0.6167872190269411,0.5661128137610236,0.5064697036871741,0.6743940625274255,0.5531673602184004,0.707575160475322,0.656429860705132,0.8061921698744924,1.0310823648804652,0.7751516932303888,0.856490224460747,0.6029710578137426,0.9384372533124355,0.5116820784664552,0.4894841295250389,0.4768358839804557,0.5060367507269766,0.508998562426011,0.5430887462253959,0.7246537899221767,0.6062853732864839,0.508361626306511,0.49793249189435296,0.45049226542205045,0.5557053998668555,0.4479269575219959,0.5574845083287298,0.5142375304669752,0.6610371338013805,0.5658159802297289,0.48833384601406443,0.4820417112223973,0.5288947262210687,0.589195871389146,0.5480247016113597,0.5903603708868168,0.7641633678011328,0.6383379229360842,0.8313923749723593,0.6195083264680689,0.74034014063345,0.698898449800181,0.6866511718450424,0.911925592876258,0.717538945276721,0.7312845893525748,0.8176128786449383,0.7205291750876233,0.5793249031244219,0.46543897739674384,0.434860527609296,0.4299648128764907,0.4582375183829883,0.5641836717059282,1.1902668790595965,0.6184521157393639,0.4686679520572468,0.4701511080261177,0.4583037326230577,0.555095002783397,0.3985494745689822,0.38723835568179815,0.4225507673539561,0.5143375389085653,0.5481702115937385,0.5421466284416168,0.6091986385463937,0.6526305945076679,0.7476496576858547,0.6638160426058998,0.6478764206811171,0.544727359694876,0.5392747440837594,0.7495081174120506,0.4358023014994577,1.1171456309882046,0.5522258311916453,0.8647919739107718,0.8457804736402975,0.7254220342398389,0.5476039885559819,0.48417316815878814,0.423438706621443,0.42725770588780637,0.4343201894104602,0.47640767304446074,0.5377177645506828,0.6974177988098128,0.6691461428168581,0.8759204128434281,1.0348284613011014,0.8782077213983178,0.7249161988144309,0.6165644851639983,0.6841812656704509,0.550545324795822,0.5933784504988499,0.4725007880083471,0.4329940216751197,0.4693843339550819,0.43152653899385074,0.5399245035091942,0.7156606482051816,0.5610075734834369,0.7520324984359271,0.8097560907162397,0.7556034730135381,0.5600015826519014,0.5512545643230291,0.4532780445859546,0.4711839901669094,0.48235559737934086,0.5807007660392494,0.575980094600175,0.791950410611633,0.5629843150001484,0.6389377521916206,0.4841781299056492,0.5636399209200057,0.595853198770685,0.6349359220799585,0.6889756602910914,0.6806747609689775,0.6109377740041793,1.0547856567517977,1.4593976756128764,1.2392373375498666,1.4240137101265828,1.2710448635936313,1.1448885952052523,1.076492003924865,0.8717711088286307,0.9566297950373276,0.9900398040574038,0.8373641608428835,0.8000411125205961,1.1189865832691124,0.8967377677054867,1.080580083441614,0.9792492659745847,0.8526904673346448,1.0116157639584744,1.1603036441171133,1.0495494198049486,0.9516925147291269,1.2693814159141839,1.2416729513065647,1.0386312844557564,1.1973314926908745,1.4825770643014342,1.2110583916458217,1.1546838104345762,0.9740846162354073,1.1985480412342704,0.8432574267961933,0.8618510207902899,0.9568172529896192,0.9128055953206592,1.6655054641911526,1.1030293762788375,1.5148043899396288,1.0426521792382824,1.013726898921277,1.1660313451839635,1.0134747468852288,0.9172173308434375,0.8385638869070853,0.9458013769832914,0.8744355772942775,0.9711225822037733,0.8525420879666976,0.9680097897615596,1.0378386527440786,0.9217686063207811,0.9940848589798761,0.7675288570433978,0.936339376947399,0.9320725041356707,1.079081052315704,1.2363439522778377,1.43698045833655,1.433345784098683,1.300245198864973,1.2962568338933662,1.459902616147489,1.4635189132611777,1.352993262297891,1.542715021068767,1.6697211935769272,1.531624602947919,1.4942168760621921,1.65605060572812,1.7627287167437709,1.4802404418822663,1.4669620668162502,1.2867501928025855,1.265384690102266,1.2533478085327252,1.1009925893478871,1.0595448642906071,1.015732760367323,0.9509508651594909,0.8614095136211448,0.8478673614013978,0.7718476645831246,0.7669388138241786,0.8681351900595148,0.7939289795705526,0.864522739227287,0.8494511990778075,1.1720162939028425,1.002168882113293,1.0348339089435916,1.222183710280987,1.383789194589504,1.1786146782721016,1.0400161909219168,0.8601865736880193,0.8912969053371109,1.1308575953064195,1.0781152069980968,1.182643760676834,1.1553717618251012,0.9245041801851349,0.71185683536121,0.6283406588283695,0.5763636086037693,1.144077201230579,0.941176080953491,1.0533522986181947,1.9847167956152152,1.2406756788584392,1.2773315105400538,1.4479557491566817,0.8649655179753785,0.61293621139726,0.8569276470890347,1.0471454284577046,2.069538216379663,1.1913646180154596,1.3130259177132],[1.1550542854262182,0.5852117654618735,0.5657323921361819,0.3402363414129768,0.602476133170337,0.3875311728741346,0.3580510408578159,0.44886468239213917,0.37165053052608726,0.3550724192131359,0.3641649584608674,0.46451439123448324,0.38492057937061847,0.40703615506824914,0.48293328317555206,0.417550432993289,0.4396329637638212,0.4591000508777103,0.5512586706205139,0.4903595831188492,0.5128362314197595,0.5172265713846971,0.6465784570354435,0.7475877552428707,0.663214683445893,0.5516887392269831,0.46720041112482635,0.4527175142835322,0.4555529127643323,0.40431484678395063,0.4491481521527193,0.4495735023526966,0.5014754950317389,0.44751572935110817,0.4277376622273714,0.4011466589088708,0.41692469808334476,0.387446014203393,0.38939071045985635,0.40640929173164897,0.5491256242892236,0.4831280655096372,0.42040999086756947,0.6946973110520436,1.1157515478550435,1.778515475883414,1.947448239478415,1.0624923765882386,2.4876610425484267,2.5350829857444146,1.1329509424013855,1.6865441140341098,0.7938834939363233,0.6735858934552342,0.8816331423922988,0.5260580317140009,0.6071173683658067,0.5535333026095768,0.6530037574179539,1.0133041666194873,0.6866747510165762,0.622930859210968,0.5379037384593892,0.6566528248435931,0.5557561413677043,0.5093523838207435,0.7014981945797577,0.5674767611732084,0.7329280604193609,0.6783963996957966,0.8292314417954858,1.0552723366758556,0.812454624548982,0.932815252225769,0.6134748432020837,1.0274104995354916,0.5228508130404017,0.46064526051869176,0.43482359352531297,0.4668873557777405,0.45267986947406774,0.48377703495394836,0.7039018434614797,0.5218884991067869,0.439813009353482,0.44165034336483694,0.4106741738413436,0.5003340216379906,0.40995814230851635,0.5065623598856552,0.4812264911659292,0.6299595977519346,0.5300515900397061,0.44481474332444226,0.43645605375815427,0.510847418760705,0.5531500777609432,0.46597673648074284,0.4902583575961557,0.6507420156050812,0.5235643613453731,0.71404701594153,0.508051563495144,0.626438118769478,0.6027392705172013,0.5980798339511044,0.8419161694951753,0.666672702644545,0.6833089125291889,0.7599012182250056,0.6564131961878363,0.5042396419437905,0.39660900025292867,0.3816643095106375,0.3952371297691942,0.42037425466502887,0.5277830208007908,1.1322599450632642,0.6678127194537218,0.49180009995977286,0.49116682564122366,0.4433449722783397,0.5645555388396518,0.38802502303232383,0.3705256713315221,0.38337066361016403,0.4608450001482459,0.4942423820453075,0.495530621190407,0.5632042328916973,0.6274949606450575,0.7028205070378261,0.6254138125870898,0.615473686005825,0.5170694356312462,0.5330003468879411,0.7433601712438724,0.4323275056870596,1.1227331569738828,0.5651861702951325,0.8429784354989374,0.8658935120866632,0.6991256950089184,0.5006830786053346,0.4413138442702103,0.3985854800118835,0.38898466835544554,0.38331406168229853,0.3919520257775194,0.44843337456286364,0.598901118369949,0.577667905746479,0.8193796314701993,1.022610261948558,0.8423088924306381,0.6323073772667616,0.5081440545043006,0.5693772025343116,0.4515045719503906,0.5055174481770589,0.4084471972128396,0.38190345850186913,0.43671704693666114,0.4005897151690544,0.5231006003646184,0.6794520323762404,0.560899437533417,0.7612583534843639,0.8081687821570137,0.7582240072258039,0.5628028279261172,0.532312850820589,0.42617961764152307,0.40639696125373315,0.4114175410262966,0.5017064899815254,0.4939888776163136,0.72233224461496,0.4873322858277006,0.5573679287117983,0.4064565899996658,0.4823245859719664,0.5312949582109617,0.5837551901532462,0.6284094615469953,0.6313420532288366,0.5833030658908519,1.0295391151248723,1.4794156461863244,1.2074734992756453,1.4684869354666836,1.3053556857853488,1.1469927419689967,1.071763356956771,0.866574280735362,0.9543580680304138,0.967251378654565,0.8226522738808735,0.7911299165697657,1.1056930394082776,0.8748779097068101,1.065418294414583,0.9618558379323757,0.8364919363346094,0.9979385203375097,1.1491227848108894,1.0360926970796762,0.9407081459432933,1.2777309009407916,1.2306941133052964,1.040309282013339,1.2211320273776398,1.5049323735492495,1.2142035308231864,1.1956015831313016,1.0036066618765846,1.23334125980178,0.8967627494051316,0.8850452270151814,0.9849852072802703,0.9459730135386081,1.6450720976608006,1.1106142703479271,1.5226393471209378,1.0339922841377882,1.003089219352068,1.1481077669123816,0.9898613475868253,0.9050183920681918,0.8245308721268594,0.9225027668549192,0.8873467391578866,0.9957618548465352,0.8523442708885342,0.9546971007323886,1.0936365571821536,0.9572879158485985,1.0169005400850664,0.7623805942572592,0.9055263432649249,0.905895392506332,1.0635239145381663,1.2316378974211653,1.4484066062672716,1.4563731935252289,1.3023193722851514,1.3164716560945724,1.5092783750056926,1.4889669323187604,1.3708451603209784,1.6010421808217807,1.7420403967795126,1.5676286976048013,1.5499782010876264,1.7489776612965942,1.827023742233674,1.5472022958716087,1.5513976170837855,1.3348565313656404,1.3014676861677699,1.267175340013233,1.1094193196372868,1.0800237961855033,1.0172991536841378,0.944488330690442,0.8666162749624173,0.8601597429218437,0.7720774715219121,0.7775467488908799,0.9262445098213581,0.8299406216290159,0.8993721964962156,0.9143786848552959,1.2419900808720739,1.072529495706839,1.0837383429116723,1.3296011247378376,1.4458291649461374,1.253542435631587,1.067126814038505,0.8827437381241665,0.902272673075553,1.0959904776618787,1.0793912373408407,1.2189689355200521,1.1640542116664754,0.9151601671694113,0.7227061879676074,0.6316073482099838,0.5659141713102895,1.1359511885052296,0.8655463153025482,1.0123034292702084,1.9987910555304786,1.1342448260937386,1.244897155407902,1.435239375390239,0.8182046703113743,0.9136414755577852,0.9012360278465908,1.1628028282338108,2.0358369417900275,1.0644169437989586,1.3086784345602887],[1.215343093906952,0.5973010258667606,0.5501728008240362,0.41942861956731586,0.6653272193948466,0.3819415046303526,0.3403617885947636,0.3979723619154488,0.35628423273294185,0.31844302568806043,0.33642633188599325,0.4479989394546354,0.3411206831247909,0.35015213368932596,0.4579842956161518,0.37700551343830496,0.42361458680490804,0.42326430489632316,0.4929902023628209,0.4553929687623425,0.4956692882831465,0.5210112137049537,0.6504020254542459,0.7649261603566002,0.6369790213571114,0.5360957745902514,0.44324722025363417,0.39658669697550825,0.3913960979638717,0.3741143456417086,0.4394609019949581,0.4051432656810847,0.4638673076756579,0.4231676608458802,0.38481399702027896,0.3807657508355207,0.3743600183571153,0.38404278699539035,0.3688290123984157,0.39254178005813295,0.49532023714874496,0.46625380856587484,0.441156384598781,0.6656281849969511,1.0997573067483477,1.640453916153278,1.8310866785256037,0.952764715127831,2.323105284715298,2.326145832381132,1.0595514426055568,1.5438916705161119,0.8600576236668261,0.7680190904906122,0.9127500637244715,0.4845322081709987,0.5455060352893363,0.5426898313494215,0.6286921610857693,0.9738885802272365,0.6474165961142139,0.6116256692982283,0.5328491674495232,0.7358329067826206,0.5755706537223059,0.4921081285937268,0.6921612589446138,0.5392423891082081,0.7068873060719534,0.6482289505956044,0.7967134104392118,1.0411500855629883,0.8021078053386079,0.9184318151055344,0.6017546757516117,1.0684439554482326,0.49975027906972946,0.45792561366536244,0.4108536315295132,0.425229465754709,0.4199549928411513,0.4538562381039958,0.7123222348474744,0.4839364766633686,0.3996892832094636,0.39763941074014053,0.3869880947702879,0.4609768280490108,0.38569738460196484,0.46149857850207326,0.46121948539369945,0.6586971839020519,0.5348759452369781,0.4513104693435367,0.4330289710578152,0.5123598583770449,0.5456530854328644,0.4223285821258449,0.43304521250070904,0.6051113230131825,0.45963182220852744,0.6618063175568388,0.44592732060315776,0.5655725301493221,0.5538733319961603,0.5833019091254529,0.7575590663290898,0.6104353043336775,0.6226831957314969,0.6882256881138082,0.5702360401309159,0.4294202793575036,0.36350471569247716,0.39330198614840134,0.3711386798018973,0.3631570714061735,0.45947660264954576,0.9260777830274163,0.5919063819684942,0.4926537430730795,0.44991560007708276,0.4067915600978984,0.4574889351003966,0.3198154205921496,0.36338884498344726,0.4056068975789645,0.44522724572948935,0.5002291697479238,0.49041910756228435,0.5472195622046858,0.6601209183369489,0.7073096269225052,0.6535358748936468,0.6244786178524198,0.5662060712359906,0.6256573208405886,0.8405504556515339,0.4738115861355368,0.9724805956848486,0.46412897870260356,1.0093814314624232,0.9857194540016398,0.5901514038603294,0.4446137787881245,0.4086804329467949,0.37120053703191924,0.35626565312564,0.3847014289483418,0.37522138259908805,0.43939932979012514,0.5605060245226857,0.5114561946137166,0.7497962110345942,1.0467748424324759,0.8410160139483883,0.5578261587265577,0.43802466842269755,0.5121766008404568,0.402920195317106,0.4660608537020175,0.3997203227021122,0.3514995555821287,0.36627572440209677,0.35379564148233417,0.4683281279530486,0.6202307258249814,0.5295546381596469,0.7222118533594681,0.7538920335896422,0.7221303507594232,0.5546363099870939,0.45580958262082305,0.4195407279907732,0.40701442670333604,0.39220473211451146,0.4654981881268418,0.4685540362285569,0.6831039675351526,0.4493738246834121,0.5249857887634705,0.3948687142440907,0.4940081317711897,0.5438226635053675,0.6148670991426938,0.6724649591707061,0.6466047304046018,0.5681868982545466,1.0472038743803411,1.5167036984315352,1.2121691930062997,1.527322164951217,1.3424756400887103,1.1844043821230346,1.1090156335092443,0.9041962363949351,1.0011458284358752,1.0224720252080886,0.8190969648194988,0.7733498183391677,1.1072854159495082,0.8446014650982768,1.0603980447636472,0.9532405722755112,0.7989305298828693,0.9730580453875205,1.1428460456443517,1.0073213641394478,0.9077157261430482,1.2810239896999889,1.2233920682624229,1.0232754846744025,1.2252947263392264,1.5228480986194095,1.2176421976409992,1.2044140879060636,0.9853763592726961,1.2472466874059607,0.8596140679368203,0.8452725543941983,0.965057510719906,0.918843921999892,1.6384149305210824,1.0884425302682044,1.5112504460108505,1.0071623296702918,0.9715532252288819,1.115706616243342,0.9390333973492317,0.8469992940858297,0.7682666153643406,0.8814643587295349,0.8336824597863567,0.9401861433099951,0.8126349185785215,0.9604806094391181,1.0721448030132013,0.9434930702482779,1.035295488001766,0.7312719088804706,0.8717560205767699,0.8786919070606176,1.0482919262601749,1.241710267242902,1.4547709610363464,1.4996430375543093,1.3097190365601583,1.334158616664608,1.5601697278401112,1.5312349150965237,1.3919886826042018,1.6569423915079302,1.8148304588270763,1.6077505963492098,1.5954328692424324,1.8272948417605168,1.8903334789541808,1.594459305072687,1.6013903063978985,1.3554105757857884,1.3165160699091707,1.2718736569442435,1.0999425319840066,1.065618405883256,0.9911148194470937,0.9049907011870861,0.8154825258895086,0.8093137640050414,0.7045267842393705,0.7044680053186229,0.878378379158518,0.7784003576367269,0.8588031318205284,0.8781073786127426,1.2141976237557188,1.0553569996177494,1.0495937063339706,1.357962116195276,1.4552170489437408,1.219000884879831,1.0215357795392597,0.8215705715958805,0.8462261411067872,1.0222619213503552,1.016177683423958,1.1951177033478793,1.1024751985249688,0.8637951168194729,0.7254929813659883,0.6441018153934533,0.5978739569830727,1.143418891648226,0.850957181844071,0.9937744688795848,2.067951515311239,1.0968778899749343,1.2154800045973837,1.4301038157672268,0.8567549971751265,1.2428542057757908,1.0867544902648527,1.1840124643216565,1.9184782750320657,1.0059384050060072,1.5504291069402452],[1.3606688097124258,0.6521829006364985,0.48662599710252413,0.37625483526717446,0.5848647216842238,0.3470330182423586,0.29200083219545503,0.3442923197417659,0.3243238899354587,0.2767159869811071,0.32255451254146,0.42218154277153774,0.3055652335065477,0.33811255372592414,0.46400156220740835,0.37159751118470924,0.4125982612200424,0.42930529488283026,0.49342410479710613,0.46433834962715964,0.5048188684341367,0.524210883595423,0.6546771683547024,0.7946447777492268,0.6235499884800304,0.5422238678735193,0.44366411132962913,0.3822919446385769,0.38037818787284755,0.36244093050979725,0.4507511841777392,0.39262453663407804,0.48501492002078633,0.4609241608478627,0.3929067570171891,0.38871678947319516,0.36200993081498534,0.36715991245527685,0.3570779917930198,0.3508006732691024,0.48672773561115085,0.48025222378192584,0.4479582133323466,0.6889062117474115,1.1024026782392622,1.5798495376175765,1.755610430920616,0.9453980903014632,2.2874127387163354,2.2062257000606733,1.0306933869439006,1.5129791157784438,0.8764398401753863,0.8099648145695294,0.8975659517927981,0.4689753810905561,0.5345110431148926,0.5290958193123412,0.636399947180572,0.951750669867995,0.6277737587183697,0.6149724983414819,0.5630733617249281,0.7639047407014147,0.5701208117582034,0.49823536040098143,0.7325036548144547,0.5592500826068301,0.734929009827169,0.6611965183657555,0.8073020518962764,1.0667462611654024,0.8180144483688178,0.9610388541728828,0.6148225190182315,1.131441455216201,0.5352441931597262,0.4966313882800558,0.4402226584249048,0.43623161973545344,0.42812466477527755,0.42767031288986035,0.7229283805016151,0.4491006486590546,0.37015663169727364,0.3768685118529914,0.38023598330883324,0.4505036005585851,0.3957991846490311,0.4961553923102962,0.49429848125092746,0.6866067166518738,0.5708607197446085,0.49905952732200254,0.46324381336877823,0.5556102816316988,0.5592761641576147,0.43635808415306154,0.4253269863551591,0.6211644176865607,0.4398319943271752,0.6278794068570694,0.4109696354226386,0.5075859677074447,0.4814649647921186,0.5143687393383094,0.6867103921102637,0.5433875595738091,0.5625046626008458,0.6441300404135428,0.507185349707058,0.3632547767493134,0.3100339627391123,0.35209846301537984,0.33676420413775615,0.3363570561107085,0.4251220845510815,0.851939452538682,0.6038576485986856,0.5173328348477961,0.45974969096959234,0.39947882633071774,0.4565427262547761,0.2875952927050247,0.3228489448107075,0.35661832927102755,0.38424706320653196,0.43063313342377296,0.40971695294487503,0.4806874922845034,0.6260418878916306,0.6442465099763112,0.5753994501012474,0.5961056166256213,0.5086336509985778,0.5725165780044441,0.7583473595212066,0.4171484478229349,0.9682530258562929,0.4622533541668068,1.0938946014003343,1.0081121577236403,0.5873483093292687,0.42927506647699093,0.3755099552531491,0.35540282008029134,0.32543604575729107,0.3537003285142291,0.3219920343752593,0.3941881914361819,0.5055257601418268,0.5016080382844814,0.7772027483588665,1.147861177916607,0.9100018231572449,0.5693819363652666,0.40654489902083496,0.46284512717912296,0.3596420720509266,0.4114400687498487,0.3550145254601514,0.34716007057955706,0.3344168928251516,0.3268394879434314,0.4284100200208687,0.5796834204469415,0.49350991560658775,0.6917410236587257,0.7127663488394698,0.6908792689571192,0.5201671067889798,0.4259926018669038,0.3893232620063759,0.3643386603127808,0.3323609241389142,0.4061438537672451,0.42806083660040584,0.6452645891588915,0.4047245060491958,0.4734690621226113,0.35635414072959865,0.4325798510780846,0.491077585660835,0.5461158051525905,0.6039849382926994,0.5817439005078627,0.5042797317280643,1.0081901743265886,1.4962508447758645,1.159759584317132,1.4883632002321143,1.3376516664303897,1.1263914679226028,1.0480390305299352,0.8466638337481447,0.9413496874055488,0.981492636984426,0.7892323226726025,0.7379039057841725,1.098111180050248,0.8410586554600046,1.0767589731008036,0.9509935408488743,0.7841972880492845,0.9855527811370052,1.1590872626005801,0.9935298454192043,0.9106518308404954,1.3128213257019614,1.2236575233162386,1.0219639787875245,1.2417313159554662,1.5360883709240045,1.2114433902487483,1.2096073940010175,0.9807766462906573,1.2733537847368066,0.854947069464269,0.8438860489008639,0.981130053258747,0.9217634090815191,1.6881062880580575,1.1064178617991614,1.5673596542398787,1.045466293732379,1.016578231260086,1.1457752292378278,0.9611521038593059,0.8398970492348933,0.7586399633549571,0.87342995025795,0.8007729278418894,0.9085857087952001,0.772076077012375,0.942335409637682,1.01477605451061,0.9034833603571621,1.0089202603570864,0.6942632212100915,0.8551287723440356,0.8949156325833993,1.076457086307426,1.2949055361867188,1.5124846801117664,1.5809076823172232,1.3572860101584208,1.4010904630942353,1.653869140286579,1.5998528346647873,1.4503338932958987,1.7457584703449252,1.9094095878234898,1.667994422945679,1.6672892602515568,1.9201404574688035,1.9539969678348816,1.6580126504071697,1.6724295291097802,1.406476575595785,1.3753002941503454,1.3247802792685093,1.1489378909998564,1.1011561243387729,1.01133845120411,0.9260431310817046,0.8237746386272784,0.8139829490818797,0.6885943895883175,0.6883359566351428,0.8496241915219988,0.7530366197210628,0.8261115246108416,0.8431987362015452,1.1890691331474008,1.0344841657155057,1.0303524445642576,1.3595157391418853,1.4557075274708084,1.2108337630342223,1.009286470866065,0.8046004335222852,0.8165076642069781,1.0084773356936216,0.9902139631258434,1.17769119768577,1.079515980477768,0.8312199550126205,0.702587557719339,0.5996805424644115,0.5570874957820033,1.1540417828311116,0.7829403994284647,0.9623874125495914,2.083243684320604,1.000886278688523,1.1792403015976445,1.4138250159733987,0.8553642302477595,1.5401373588347853,1.342039496274396,1.2524975023607858,1.8493376689756926,1.0972806175266634,1.9503302685442179],[1.3238611303920271,0.6246790989138589,0.41862334795329065,0.3505323691723175,0.4718202316656237,0.3647386776101311,0.2965323885022353,0.33955674669554714,0.3703163738348144,0.350519389591472,0.40185435559009064,0.4752115338942609,0.3844324063276068,0.4382165340631175,0.5671537766744074,0.46707780425812695,0.5135210032397934,0.5550131569913453,0.6126816121373562,0.5914424151068026,0.6467180768645594,0.6638351355240097,0.813449666112471,0.9714344532287911,0.7341716210790731,0.6776056154287791,0.5791597124975564,0.4959751311186835,0.49335091822195026,0.46189904837592094,0.5617295599394332,0.47049643199712654,0.5972313196280257,0.584126564262273,0.49292984548974306,0.5033328354098144,0.4530675613315936,0.49685977763696376,0.48804986438063735,0.4639032666803585,0.6106639663538247,0.6217770692363856,0.5815516425180987,0.8333076906471883,1.2117110130438817,1.6228236099482962,1.8256081854131083,1.0895414480258663,2.3098024249681766,2.1837210035999823,1.0958777243177633,1.5804095163501901,0.9225860046533247,0.9814500783732922,0.9398586407068605,0.5847772313087191,0.6691746191274529,0.6245469471366206,0.7085042367561122,0.9971305600505603,0.708100700087058,0.7037351570962614,0.67000103196405,0.8335939711941002,0.6772583247106153,0.6301409954983421,0.8346443799337072,0.6705802698182669,0.8077074291716361,0.7573895358517398,0.8577670554160337,1.1025528971185243,0.8877213799120095,1.047747090405095,0.7070268124799377,1.2522600968933217,0.6542547341654738,0.6094539143067198,0.5547722233304169,0.5388618765748389,0.5125192807917205,0.5187850410136645,0.7723171990873392,0.48675557345071907,0.4440277368465577,0.4626013833178182,0.5020398518346079,0.525820383973501,0.5045228448632045,0.6168301660467513,0.5987119304644956,0.7912297136174034,0.6845047383840289,0.632316968990392,0.5774559224349689,0.6653171339292782,0.6363289720975173,0.5255413715158376,0.47781863777211764,0.6560845843837063,0.46572910948594376,0.5878400158609038,0.4009231220085353,0.45529242056010594,0.42954595796687284,0.47160161701350256,0.6096368837459802,0.5045231039092559,0.509874646946291,0.6097641690240261,0.45013144296615265,0.3483433202550282,0.31957643672551705,0.4147606580900467,0.4097890249686246,0.4607746845722712,0.5219491538797839,0.9593074814005313,0.7523347471080281,0.6473056629382076,0.6143198856972457,0.5287612757348651,0.6236206293633163,0.42436318044773197,0.400208028915599,0.4164442308205754,0.34455668197057526,0.3666498142069392,0.3840579062254943,0.46964930586385223,0.5623471907307431,0.5549687642217536,0.4930095676962829,0.605435265575218,0.4763780246834265,0.581597259177093,0.6809012989289465,0.4517845283252017,1.0308951903462586,0.6238261325352852,1.0963581513284242,1.0396103468698363,0.6888166257755114,0.5392129431095438,0.4804311054349539,0.4595771071189499,0.4261216268223264,0.40785793179398633,0.33971055271198447,0.38666274641142023,0.45630320251581374,0.4901012530929275,0.7686012032896352,1.221864173560592,1.0194765909847106,0.5719593939588811,0.3953069949550976,0.417533371842181,0.36742177228155587,0.3996529577282832,0.39972976889909373,0.4438486100646541,0.44345325594525276,0.4408242764201871,0.5386780948512961,0.6308281437465628,0.5697215947832545,0.7693153947822808,0.7608114590714851,0.7360762267119185,0.5685217356112121,0.5153512300719396,0.48396440119188316,0.4060546780012846,0.3738000044105894,0.40496884120358856,0.4619301692225847,0.6343060140934422,0.4542932946510843,0.4699322710780825,0.3948008994311142,0.4042793137671033,0.47383274607088083,0.5187095446628534,0.561099388972109,0.5662574066072321,0.5564505752500088,0.9451309472224617,1.45170892329292,1.0880938577349624,1.459619930517238,1.3758359959918811,1.1262519586527524,1.0135406940676575,0.8053142756874773,0.8910835083591854,0.9065335102856092,0.7492020022491808,0.7065681889459929,1.084736724181073,0.8163127067676369,1.0659641178151102,0.9440851383732104,0.7697742148290422,0.9683884639274665,1.1642900339717885,0.98166604092558,0.9013750928131361,1.3074264828979254,1.2382730706414549,1.029673297688705,1.245137221583431,1.5499195637663143,1.2343555942515354,1.227766443336039,0.979753990033066,1.2803061728317413,0.8384299362735139,0.850923627060349,0.9669205707591426,0.9129902244547441,1.6590657694050832,1.0909696196372882,1.5422805838934066,0.9969985278880337,0.951486439275009,1.0959409284889512,0.9044081053554233,0.7727846534959468,0.7123898141282512,0.846731441122308,0.8074651698250824,0.9231241465585247,0.7535276406830698,0.9200789384129008,1.0161601546118113,0.8776948423386024,0.9774658568984166,0.6698968641614341,0.8101266489128962,0.8682957827418603,1.0583864599877781,1.2969257848951876,1.501791574840523,1.596527915710359,1.3514848758982994,1.3942718362579498,1.6621374234523647,1.614490801753658,1.4495541155385567,1.7544620242398088,1.9295749662529311,1.6766868162096449,1.662096671402091,1.9257582087356397,1.9659619454184645,1.654834940428542,1.6610226900782388,1.3904076063703499,1.3543749387128057,1.3018448612781204,1.1191031792830777,1.0660935019664037,0.9872536979266145,0.8933044037907802,0.7836126820974546,0.7903619327074172,0.6516236309249762,0.650765179537008,0.8381184145381159,0.7355993399825208,0.8012295458406455,0.8454899102401898,1.187503523690466,1.0469681121933747,1.021815292063954,1.4050967157061287,1.4678737452365243,1.1827864427888795,0.9699574723526698,0.7657873780938556,0.8077243957215455,0.9432297318061008,0.9415899430641906,1.1522487235219705,1.0815231776750942,0.7970073839337437,0.6817504331122686,0.5795889497917629,0.518536668301973,1.1816501405266142,0.7371820442548845,0.9568585192212088,2.067696899215239,0.943487486428456,1.14412698937677,1.4121258096797062,0.9515873221260064,1.657272334062174,1.4892483364190134,1.2917744224334973,1.7676583927080074,1.182266237661843,2.287798533541473],[1.5622402908520445,0.7498330969861021,0.45178436382377385,0.3560589608945223,0.5061402271855665,0.35717793446636503,0.3128513618790087,0.35515590075330095,0.353614787568018,0.34196251286865853,0.3963773931938104,0.47341139218732314,0.37621703376266524,0.40191498082160704,0.5335109159970598,0.45204644548585,0.5054632455690852,0.5388268211966818,0.5916051627860435,0.5702221051386325,0.620198005161198,0.6231805669407514,0.7840455805949911,0.9445190330263442,0.6737012560022441,0.6320272944427661,0.5443967574980788,0.4533414458333779,0.46831900264400317,0.4446907447864792,0.5557006868513751,0.47927693455187204,0.6202560022754497,0.5832336397065901,0.4928295638985109,0.49080695571885263,0.4386872136251163,0.46453931362292733,0.449779753929178,0.43177647196921953,0.5846735145170255,0.5810751169375206,0.5531084833542185,0.7682624950395992,1.1717232351125213,1.5628133178536932,1.706515193038309,1.0317247688008224,2.274393695523027,2.0729403968689484,1.068125635245673,1.4866062726836422,0.8923583097906945,0.9230265071179112,0.9171761302808517,0.5539862130924584,0.6285506046033555,0.6048948873639078,0.7044917842070864,1.0054249391374777,0.6961728279807149,0.6947664044111634,0.6643069280902518,0.8450011241813149,0.6584511163412758,0.6026539004117478,0.8478887173930943,0.6707613199939655,0.8287176040822707,0.7402668137136774,0.8728846900677956,1.1359594242656512,0.8740142726129312,1.0471234012043866,0.6920524647514892,1.2210037268343723,0.6405846608323863,0.6078170678073167,0.544399360065851,0.5286706750517457,0.5173624746104528,0.49772552443339074,0.7554508734575914,0.49723434242369846,0.4216033241733442,0.43335461001975495,0.4705620889684037,0.5252755181895331,0.4891120702749548,0.6077723574381836,0.5977297138235665,0.7638044648973011,0.6649375953682795,0.6207995859847122,0.5680733897304401,0.6565868217231664,0.6297156771625292,0.5312977400245118,0.49371293719261045,0.7022298105222858,0.4870960390696348,0.598800678140967,0.4313122521802854,0.4913445336268684,0.4506988210458658,0.4901252486760342,0.6244514883980115,0.4729661135223483,0.4883536399611482,0.6370855684987441,0.456194764728449,0.3648613398489597,0.33788358536651014,0.41336331485117106,0.40148627667656334,0.4278602984549845,0.4927876361199428,0.8216726731102181,0.7023519151892974,0.6382630753876622,0.5804713352429556,0.5073528218761172,0.5600839390482527,0.3823602745385389,0.3831168989130996,0.40354325976769,0.38902059477731976,0.4027472527324723,0.38941473725470815,0.4783171755429175,0.6204828657921986,0.5926484503897654,0.5206869981677783,0.6362103123122096,0.5023611625440478,0.5716078253762704,0.6940375304707971,0.45748485273459644,1.0211540738823315,0.5483724225436731,1.2676071550847579,1.0565565350842163,0.651815730848636,0.531921397566925,0.45356822877583636,0.4370428669478401,0.40408658526178465,0.3988633532520806,0.3638538764886571,0.4045734707985084,0.48488527371148177,0.5287427414151806,0.8169150680866265,1.3239120229134984,1.0582072585093212,0.6199517397286722,0.4379011340884977,0.4581283753906699,0.3921368932644457,0.4316411990734019,0.39934897030501215,0.4295951409050712,0.4026740729935761,0.4077206404826615,0.49286940464506235,0.6179747330400182,0.5447113244999354,0.7218918116512273,0.7222746556952202,0.7251262938102757,0.5550645740769083,0.4942997582157618,0.46092834841902225,0.4093799620392205,0.3711922417780512,0.4075358580511804,0.46099571832322345,0.6513981742291357,0.45466376312611234,0.4908485625532655,0.3962300284107014,0.4288483551642585,0.4841959087691742,0.5328158700734673,0.5830033094699548,0.5859700322775621,0.5271980056143,1.0132381027365123,1.470379143918257,1.1024198612096954,1.4554371582512673,1.4033198192342196,1.085375225088692,0.9737910784494797,0.7726736917470719,0.8503676975504865,0.9276943981446661,0.7547951941321208,0.690616979139132,1.074574815706384,0.8319878119109411,1.0990639533152213,0.942522891054373,0.7567753125881354,0.991267878779623,1.1689333239707782,0.9663766565948305,0.8941652090839628,1.3285431898681235,1.198501330000058,0.9878300234661277,1.2225653815724145,1.5100203785954256,1.1749013845374,1.1789651086944368,0.9401270920431454,1.251417402120207,0.8053984392132466,0.8169022735084069,0.9590009782629599,0.8830577384926909,1.765846411089597,1.1036509658839297,1.619646949931041,1.0797476906073287,1.0609895710334614,1.1804840556262288,1.0071594623344196,0.8199914168872736,0.7422289139443943,0.8753085271399044,0.7570814182162824,0.8546924800897047,0.7146615455788718,0.9459101932688727,0.9189008717810572,0.8322183160843766,0.9620320414805749,0.6360336088206502,0.8312344235135501,0.9133318143632121,1.1087748884063464,1.3777318399026344,1.5895346132074284,1.6937391047266832,1.4100755079138616,1.4738577488370923,1.7607879058919826,1.6760757473313381,1.5108694850648978,1.8380654494577404,2.0074786303817223,1.7157275992014114,1.7236231221685152,1.9976240802823293,2.0008209845402765,1.6934370033831985,1.7147796616739408,1.4303119315452437,1.4190521758383072,1.375050616770397,1.198154736800152,1.1164262987759495,1.0113433765894577,0.9399326820770051,0.7995425935429408,0.7784907541708554,0.639020176456596,0.6338875570178368,0.7749916568167802,0.6888954015441097,0.7415574231628969,0.761910047993166,1.1019982583777594,0.9783512811373661,0.9854147030606586,1.3571539665591368,1.4707775819218638,1.1453121006198843,0.9728841400772952,0.7429566784202997,0.7462463176467194,0.9799634628111332,0.9328664373004147,1.140917142220689,1.056744835650195,0.767280354573828,0.6711828670028105,0.5575004627390685,0.5610925660421134,1.1731679665411394,0.6985296221985119,0.9141920253947189,2.09140058596182,0.8565740547722215,1.0890043581057585,1.3590865657835112,0.9181952221963534,1.9535238791282035,1.7894125462981891,1.3399098317901315,1.717227202912482,1.4251593873203101,2.763690302063954],[1.5085142674218444,0.7327492256242176,0.48663860604480147,0.4012250469226216,0.4919479643265805,0.4446844618938618,0.42282050842860786,0.44448974022596455,0.46899473569053324,0.5476386588004674,0.5911411600989636,0.5955082146344105,0.6018486922770682,0.6967917467770027,0.8300322239963821,0.7232319122956138,0.8011710401939764,0.885190045801058,0.9887980708921471,0.933916736312575,1.0207786408465342,1.006646056096896,1.2006511618886446,1.392328797621273,1.0568656119589825,1.0443649977231837,0.9163582159467504,0.8321731853862373,0.8117247923452088,0.7379482120634453,0.8296736350142204,0.7117767162882059,0.8049145160254376,0.8200881217340088,0.7561214678062281,0.7982916544582154,0.7233391823351025,0.7971367640531932,0.7948140823021669,0.7684169742901196,0.953721427006597,0.9585133764941997,0.9139170256719402,1.1317683403543406,1.4882099786603806,1.8662142545723417,2.0192981269443337,1.3897046089168983,2.4756729300320433,2.2786301482983595,1.3220683296738842,1.7417497318353938,1.070627072496259,1.2204344299671015,1.0786332838899406,0.8667251915569848,0.97008334590017,0.865726188484863,0.9150725200477388,1.1851651133324599,0.9711913343163363,1.00807730611426,0.9848272840266704,1.1351593980643944,1.0144173286561773,0.9584905505051498,1.1562839135385519,0.9991901910158192,1.1267152948360417,1.0509071853560321,1.1643398379848597,1.3782463655384285,1.1728134618836903,1.3289236091655288,0.9996865161484797,1.500139454894062,0.9742184279403399,0.9021691718758967,0.8534823910823106,0.8128418577090463,0.7740527368380439,0.7771488571697656,0.902398590774702,0.6921892643569657,0.7166434392613443,0.7227565182558371,0.7812926792945666,0.7704392977531568,0.8052408902227245,0.8738723847770717,0.8751133463955186,1.0045026094812268,0.9227634958336471,0.8758851752752874,0.8187642147172756,0.8765925077228438,0.8504118125751304,0.714983908551189,0.6466219596449161,0.8044637371828931,0.6337216521680799,0.6442152866116843,0.5928832346650545,0.5804155256964814,0.5528353435970614,0.5705959926435834,0.6942568480995702,0.5447309570579384,0.5366177237522433,0.7082686902907598,0.5226586788501582,0.4908105268922023,0.4798793552081413,0.603466645956162,0.6629660093064365,0.7587908734916782,0.8375493734841747,1.2242548195348963,1.1288198909869158,0.9868473130556988,0.9763887255786743,0.8436498340917141,0.9674517756234691,0.7343537217424239,0.6029917435186466,0.609584910328537,0.4636901560194736,0.50225408114779,0.49008907300041965,0.5452434608654441,0.623679387300504,0.5969576817106143,0.5486905839324019,0.6941246406731411,0.5586432174272303,0.6448655066327575,0.7202948192020143,0.6531250286651573,1.2626643109412767,0.912713502389833,1.2626882069345287,1.1819236342628971,1.0127837188167517,0.8405355842342315,0.8037029776226384,0.7644458105604259,0.723212887379436,0.6359637736852131,0.5477668689976295,0.5319373052396598,0.5368047622161152,0.6008926501612966,0.8952782964810735,1.3977557177228086,1.1282739318682844,0.714193967660757,0.5502922074327221,0.5402049978494585,0.5626976764182372,0.5519723309397976,0.6134848527059559,0.7075352906265249,0.7339813647322169,0.7391191650425876,0.827762885445424,0.9117089246139236,0.8395225468942388,1.0327601618701634,0.9858129810783285,0.9724575422169399,0.799000043099355,0.7664295315209559,0.7311169690264525,0.6472009785973711,0.6153507969596117,0.5801687979742283,0.6568305199161579,0.7861896623319469,0.6664070778932231,0.6516089242014327,0.6447508370457283,0.5492157480045476,0.5954229148064728,0.6512924743707863,0.6958983529246192,0.7585060099582318,0.7899402031232287,1.025714931082294,1.535157694421903,1.1497836978712752,1.538592621258995,1.5066533435721168,1.1874297240608918,1.0385201466616747,0.8339197844304118,0.8844232377282976,0.9123668990188109,0.7967658760213946,0.7429052237809588,1.1308860696416374,0.8912636933932201,1.155849230248376,1.0072217701749526,0.8314437655107492,1.0567370935263767,1.2383929249434327,1.0425704489776793,0.9675854680145775,1.4039098860947468,1.2861593472511517,1.0812724016113733,1.319399675212869,1.6024517827331404,1.2687583118420558,1.2791775594771435,1.0504188410508668,1.3300444898122055,0.909214466038941,0.9056553351979455,1.0516241505579966,0.9779062093368966,1.7691216216577101,1.1335512433473345,1.618006643865576,1.1165111943902482,1.0935098780873567,1.2293976713776391,1.0305079807304764,0.8868138674481781,0.8034715260790367,0.8978143037976501,0.8399888040048207,0.9607521659353538,0.7721202614221414,0.9380960457373487,1.014393106492265,0.890101169234639,0.9986676554395965,0.705725657901307,0.8755615646722175,0.9466368186642671,1.1570726521146257,1.4066466592248972,1.6404083165032792,1.7331966344766359,1.4600807140770917,1.5328488176022654,1.8267864756996626,1.7350047218533458,1.5682215396676336,1.9058211548869,2.07534469107455,1.78654446730339,1.7996099222087345,2.082881995918361,2.0879741572452497,1.7850682187035993,1.8155817279188726,1.5171090227072346,1.4963557589234069,1.4411094844418781,1.2558504937785688,1.1998154390901539,1.0915549828297273,0.9982411941081856,0.8793194112055819,0.8683244943905963,0.7147674238997537,0.7061614843031937,0.8664929161044399,0.7684549940846858,0.8141305824004846,0.8473486960902493,1.1937151148804923,1.0614950387751623,1.0517386179161374,1.431042416134792,1.5032002881040105,1.2382732996582586,1.0219213925346387,0.8257486283171878,0.8479616493849655,0.9977895368528247,0.9751808942045465,1.170290955900409,1.0966119786495572,0.8384702719257021,0.7230994386206898,0.6005602157213701,0.5743216755523737,1.2435049573035755,0.7350702629636863,0.951519683106504,2.0850850641997822,0.9009863297426585,1.1395298274074082,1.3917084431335942,0.9282708514968443,1.8315057753408746,1.6962065700469835,1.3591871957457275,1.8723741771243334,1.5513916742575333,2.90435417745574],[1.4556121717217338,0.7501416696522516,0.5591342562878396,0.4084712087966697,0.5750030804300476,0.40751431106126107,0.3217015122363323,0.36382198239484626,0.3508009933035548,0.3386068648191924,0.4064317220506267,0.4767695932873257,0.3780024810840635,0.42860128735913683,0.5613701548777028,0.45954340212224604,0.49952557322852204,0.5521653006297333,0.625076835414359,0.5800213601186268,0.6475551424950438,0.6416832256700931,0.8103399779299498,0.958748227034266,0.7037047158358639,0.6589764782668345,0.5504879594820783,0.46388250867543546,0.4681997793560354,0.4324850394732694,0.5584199192786978,0.48474336856171346,0.5832943300217496,0.5774792611722631,0.486110685301021,0.4966433803143171,0.44230611724830154,0.45186731361608845,0.4394321232370364,0.40844492438285085,0.5877180074305836,0.593437287801369,0.5478102919586103,0.7917367277273312,1.1839134677343197,1.5917299926314359,1.7663843179230208,1.044032861212838,2.297713916970692,2.15753058407822,1.0619427778653951,1.5281864582945945,0.8996991059694589,0.908423769388796,0.9071591954492952,0.5392318772686499,0.635081222562772,0.5803461142288572,0.6812857134413217,0.9881082397957813,0.6952615415635184,0.7207183824127262,0.6930162344365789,0.8646098378554637,0.6696462885656709,0.6267393853112514,0.8774186571678084,0.6998957878300238,0.8550205289097055,0.788503498562955,0.9133370602264747,1.1886640654627008,0.952094923106875,1.1057880928926853,0.7346051451684645,1.2776294004997197,0.6740900759511929,0.637675107993354,0.5581452631160125,0.5193304237099448,0.5062548090265347,0.47851357150906554,0.7505701232999867,0.4670097857414759,0.4067073659789283,0.4180612057539418,0.4534612821726145,0.5256811503788681,0.4997518707680527,0.6145744917860917,0.6233711584601935,0.8051494808478772,0.7032711470850906,0.6476912937020192,0.5902483897388618,0.6892764904846452,0.66994655159311,0.5301050589516797,0.5003336946876328,0.711770648435914,0.49156317777198577,0.6394413380741695,0.44726346479655926,0.5125499335169669,0.4695815608779343,0.49945858700755696,0.6927625177456304,0.5328849347944299,0.5585705282285064,0.6640935188717316,0.49487787514100096,0.3460637122727032,0.31816526798749495,0.3635592689417211,0.3808369132283651,0.4145419751047788,0.4918439672270307,0.9293513308565694,0.7636443109905814,0.6614146280013339,0.6173640923092553,0.5165728148797317,0.5923131712329531,0.3855034179145639,0.3519884171820565,0.36959080989611187,0.3822467940708796,0.40227836338981304,0.3951510326013684,0.46795407412618073,0.6267132660687595,0.6456925520066598,0.5435667013805802,0.6010861296263746,0.4727417740996442,0.544998682255914,0.7166474172154507,0.4284128228100765,1.0354580023017301,0.5441630562674042,1.0954011766572793,1.0158420082019493,0.6635492503309017,0.4929265115711532,0.44000477365632246,0.42375801545037084,0.38502891678042056,0.3865671641273358,0.337593830395905,0.4049190763080147,0.5021014626555206,0.525604110046782,0.8412041671333399,1.2653538218618325,0.9830638435063669,0.623744044392924,0.4422102610044182,0.4792257820626344,0.3919069522006149,0.42153337826368215,0.36975642825392446,0.4066471052199556,0.3871755475288622,0.38778319251775667,0.48428228348494656,0.5935866211089198,0.5154431779520356,0.7117916197549455,0.7055712417115079,0.6880179830791793,0.5255734067914125,0.4615631052489566,0.42220186117100567,0.3737423246706806,0.3439618988802057,0.4045882304258794,0.45712898527450796,0.6645145233250365,0.4197709828424204,0.47175138662708627,0.3664795792968942,0.4168533943271454,0.4656947787547489,0.5090782851315206,0.562474449781698,0.5517443119656055,0.5006773523627615,0.9415676619644494,1.4496770740244533,1.1014330976829492,1.4475946889903637,1.344384569623381,1.092555286230853,1.0061130282141892,0.8165764564311145,0.9251432996557744,0.9627451114424824,0.8104260974700999,0.7687694677546817,1.1352034357404057,0.908928494998236,1.144795356334245,1.0032579808747308,0.8512688741960718,1.0722296724864189,1.2298849407431791,1.0604802992524105,0.9957281453647452,1.4047281139986685,1.287813074822062,1.1038132227948698,1.3311888440345987,1.5983431387668305,1.2748951954942198,1.2907152897422918,1.0795341602677342,1.3539140000318999,0.9557674699407194,0.9309094952913305,1.0919575766684482,1.028843334514511,1.7786517875521195,1.1847428919338727,1.6288440938666426,1.158507443195274,1.1356507513162393,1.2560894824143256,1.062954585016404,0.9463792905415759,0.8528563584879375,0.9375796650360628,0.8560590813421552,0.9576184859060498,0.8206650816122201,0.9758945142687219,1.0409976673158277,0.9418587282802985,1.0167068950032232,0.7388716264328667,0.9096093971141582,0.9567724520298793,1.156121362488378,1.376001162012262,1.621560419550843,1.674312678599947,1.4410749203031037,1.5142524441976126,1.7740342852534936,1.6877822179747661,1.550051054747612,1.8634572427032152,2.019239341233741,1.7611213167242146,1.7848600361478957,2.0479698893029843,2.057979887343258,1.7740171600117998,1.8083992637314639,1.5275161272258477,1.502034469189126,1.446393244961415,1.2712300210032226,1.2285687703756025,1.1207108905527279,1.030994990951317,0.9372145971117294,0.9194092486901839,0.7793477033178515,0.7862896163967504,0.9375743456878701,0.834063012871404,0.8782637710565837,0.9026984883697647,1.2418242848506789,1.0858911091322108,1.08032330537829,1.3980776488220341,1.4829816402156375,1.268809749908097,1.0706230989251408,0.8911858714418041,0.8966611734642441,1.0496318555450093,1.0162857536212762,1.1858440969014226,1.0886713423774734,0.8835273686936007,0.740932763966486,0.6164600055552925,0.5688695611603611,1.2076866282659435,0.8037644252815986,0.9953178334677201,2.1110308281299934,0.9975774349586745,1.217469265422854,1.4236996020175716,0.8529543114289727,1.6675504645285066,1.481302590614023,1.314444221104847,1.9164576452332702,1.296774169434313,2.3559692721352423],[1.2330340640848905,0.632806566351808,0.5261423857062071,0.36639860514060874,0.5471941401624691,0.36245155025405495,0.29392758678486164,0.35241275015459844,0.345912724863583,0.3441094313808747,0.3990894617555896,0.4562991085077493,0.3820978430087537,0.44510916872522927,0.5625202438478248,0.46215737399306955,0.5050325970802513,0.5644674834412587,0.6277793945523971,0.5915315473358668,0.6576973825750041,0.6598683595273389,0.8372576367829098,1.0059539193612164,0.75217786611756,0.6965835584841549,0.5774224601745357,0.5011173185558373,0.4949161435268663,0.44461543471157794,0.5518826064259188,0.4632668044347731,0.5722822087165631,0.5625891833004356,0.4711975256846399,0.49423558135897383,0.4419282790289855,0.46517153525509125,0.4602281738923823,0.44954114253189875,0.5962004707723098,0.6123788254225038,0.5670664326327115,0.8303970024742949,1.2225101811584653,1.6489692601057901,1.871302098376662,1.0818971243486855,2.3322126266791594,2.249301443349897,1.0900390301742853,1.613487154368483,0.8675634950579421,0.9172413579867386,0.9169624702048698,0.5744646290531741,0.6665933123756943,0.6337320195438847,0.7199111277906858,1.0628262424864154,0.7437588439943238,0.7309792627695397,0.6948967608835546,0.8568443820806677,0.7069544200937913,0.641342330251967,0.8574567274747834,0.6826867297720327,0.8254865739625021,0.7762291840651161,0.8793311034247949,1.1424826336654135,0.9079341193977848,1.08024133195564,0.727259444778601,1.2736190629378756,0.6687903918815531,0.6192617497120955,0.551230484990004,0.5361265021603638,0.48813094184294553,0.48204145620364025,0.7029506564952623,0.45889733631917906,0.4283941838649629,0.43346168407512986,0.4696337868771872,0.5223233681248779,0.4990408297404336,0.6008206597637618,0.5959879612047977,0.8082976872896314,0.695399471152336,0.6258862553482841,0.5719943118751402,0.6686226437388904,0.6353280534557368,0.5175312789246123,0.47965254962388915,0.6840419465748652,0.4703994858239934,0.6103027232150418,0.4193588587269482,0.49134473053114225,0.467996131244397,0.5041105873335137,0.6800710166064844,0.5373172015288331,0.5529195409005268,0.658263389103964,0.5039786092295816,0.36494515258274707,0.31301463092852916,0.3939711143782857,0.39854134567877036,0.4496026698002334,0.523492055506769,0.977659450939195,0.7814257745571339,0.6484424069254603,0.6222745109127209,0.5232251784727582,0.6320072249523657,0.4097602685305477,0.37519526150384774,0.39808460722692535,0.3871116577100024,0.4126989733845368,0.4087086142889389,0.48986675629348986,0.606935387064922,0.628645673556938,0.5673216858075917,0.5927935008379508,0.49826059074921164,0.5875659190560297,0.7179106517797426,0.45070287119083546,1.0181649697337283,0.6193627871793119,1.0401513359151497,1.0410923574857032,0.7053785980572308,0.5378128333852493,0.486416745258533,0.43821992151764666,0.41280428057420043,0.4015846251850525,0.34359085878956613,0.3949317558711041,0.4812963033242319,0.5037388931020196,0.7834048190617653,1.2051906598508169,0.9732093127345759,0.5964000400319108,0.4240273597957453,0.4570026583191552,0.38511012064854455,0.4091684378281259,0.39432658033435375,0.42048938461190677,0.4383494444929091,0.431102112575546,0.5443421956437662,0.6330244346978898,0.5716972776335603,0.7892248823920659,0.7783873663693617,0.7384790352844092,0.579720807555471,0.5024940228627331,0.46637432040232135,0.4139946938097656,0.3725617579069569,0.4139699506292619,0.44098936858927196,0.6170470443012723,0.44144539535979527,0.4712256792430046,0.4057191491247938,0.4323610339966583,0.5007143707446817,0.5671241833286984,0.6070848140462283,0.6065617842042008,0.5723925309519207,0.9876081951182204,1.4685806062555964,1.1207476026515668,1.5182481678769366,1.3842325057570823,1.1741527372721752,1.0762893801805953,0.8729771871063802,0.9745009996288879,0.973221651863103,0.7981955154417549,0.7578520703949978,1.112506696562441,0.8405424138067783,1.067575731093918,0.9583818989069356,0.8009890762422542,0.9817506360316561,1.1613750057173402,1.0127605338016552,0.9262578122065318,1.310954095915852,1.2428496945672869,1.0497511297200028,1.2577807210375267,1.550602107898314,1.2432127435142966,1.2450914214649034,1.0281356154139525,1.281246914529374,0.9235974329336649,0.8839587967848027,0.999187363875765,0.9644937946617881,1.640988692026764,1.0936989313062144,1.496871672235595,1.0133796131784245,0.9721754011129254,1.1214799617149143,0.9283320593898947,0.8352136046934144,0.7663199127131749,0.8747492579409605,0.8673920051990691,0.9871306851408091,0.8193807506892425,0.9515095577065283,1.1436660012292508,0.9830480345264663,1.0246823484630017,0.7313319126216504,0.8426040869914512,0.8742934108769167,1.0560502589718732,1.26137327273376,1.4852745956212723,1.5522075084840963,1.326213561685994,1.3765780074073428,1.6365626231998638,1.5832758785619718,1.4312060826826418,1.7334406494354166,1.9015727182078388,1.6592334293595334,1.6552848701668883,1.9182371213543028,1.9592011208120872,1.657605618545318,1.6746757316664163,1.402751769984641,1.3604159146182866,1.3043833354583525,1.1213746526827297,1.0944117727844063,1.0112582413906572,0.9141202601469928,0.8338683075304629,0.8353012795546159,0.7216427713468259,0.7427464147377679,0.933128498860909,0.8298479440711338,0.8986990826319744,0.9605974505210123,1.2977492759196618,1.1411125143980214,1.1098503691082882,1.4897896096807908,1.5269077551022479,1.304061097267022,1.0530336466929116,0.8478364715921116,0.8776380591209095,0.9943549201931882,1.0013544000984758,1.208580053361211,1.100546656732369,0.8607868075162518,0.7188925160340512,0.6285534662994305,0.5679877675977156,1.1756167420716168,0.7761006884950239,0.9524552126007343,2.0619949526687096,0.9936227724809436,1.1806494338494995,1.3999705094458506,0.8689232525640381,1.4880589100401425,1.3078819358722704,1.2521830085871477,1.8727606954637968,1.2119528540710165,2.201215912392311],[1.182872816909003,0.6782407083113597,0.6758591200462993,0.4880038103285063,0.7107022028702505,0.4423503573505994,0.407717022413193,0.4731061609477626,0.41838934144523804,0.33972969936242003,0.36853194656472454,0.4842817598682642,0.36057383977903357,0.35976355343121197,0.46787395344103205,0.3942513312801005,0.40807659290334414,0.4109295929089809,0.4850239891949422,0.468067938641462,0.5101398030018629,0.5392718020305188,0.6813323972238283,0.7988844019887276,0.661135769252351,0.5636711682900989,0.4685909425948613,0.4047045089981658,0.38717496634695747,0.3865016298740898,0.44842809515693155,0.44090720679440654,0.49793630331845756,0.46133541338625533,0.4036400829390516,0.3986132826039866,0.4036515282642689,0.4127601490354974,0.39713708491983285,0.4136996628442739,0.5109062564496543,0.49659168932170805,0.4727958303116788,0.6926164623124338,1.1163030309346287,1.5998454964662785,1.8252777501069553,0.9498566973523322,2.2809301492041234,2.2723731392955933,1.047575631109939,1.54085740305497,0.910522636608236,0.8170800348669904,0.9232718929096602,0.4864353300667245,0.5428923571327219,0.5655662467591633,0.6548602819376809,0.9442943858221255,0.6237667402747803,0.6244245667466507,0.5502426431631682,0.7685012302886224,0.5822306698723969,0.49505136453513066,0.7144133328439735,0.5433821312724713,0.6959038387522594,0.6466840277485341,0.7731534131241056,1.0376646535386378,0.7975017780002319,0.9257794977795315,0.6015346608174101,1.11845626670386,0.5168318799888251,0.49210335438476455,0.4414620024601461,0.4404487007776685,0.44324642301685013,0.4853990288023121,0.7754752228134304,0.5222836582767861,0.4352373632849257,0.4414756638902178,0.42899056258894935,0.46146402313644574,0.400178864426246,0.5019688225202672,0.4941867337935486,0.6927384982387119,0.5678038799860935,0.4865625063051103,0.4603588041223652,0.5420127002395062,0.5615009505977777,0.46698383437310376,0.4898874984384217,0.6822861583373264,0.5207514086608244,0.7312704630573847,0.5098773272483453,0.6344187555669337,0.6135159159010609,0.6454537293702006,0.8184434147812654,0.6917432660230297,0.7148361843467747,0.7478590824853169,0.6515092077556792,0.49550051889218044,0.4231209734874972,0.42945314587474476,0.38021233284241057,0.3865371812688705,0.45720446553821187,0.9173446550717825,0.5949094163375889,0.5099492405730917,0.4557947801200651,0.41054826872632627,0.4739954916150019,0.338760870137957,0.3929597912370467,0.4484485325947875,0.5062712208853998,0.5523379259686364,0.549833108243398,0.5975990749901124,0.7060330776425386,0.7801008184377035,0.7019653686361883,0.6723986647322389,0.607769515260314,0.6509565695168704,0.8434274473285567,0.49605998346657554,0.9569268953348726,0.5082223517536522,1.0005317608213353,1.0233413513215084,0.6123012845299288,0.4750440523266291,0.43033134672247,0.3919223634048699,0.3825757248596339,0.4310004451241518,0.41788769743160203,0.4821160677071117,0.6422829629716853,0.5925268112688962,0.8317159953306567,1.1042686012319778,0.8736476716905965,0.6423791104232123,0.5083485720171733,0.5830970495706445,0.4588570043982228,0.516482478541137,0.4614091219337837,0.4028743705615278,0.40246168622044715,0.38855133399728137,0.4951251726159772,0.6212218120229909,0.5475276948839964,0.7415379121351322,0.7708943137866147,0.7217370624470307,0.577164831203291,0.48387672349429683,0.45593784009311444,0.45257877399731183,0.4303162997379143,0.5166688405239358,0.5201577637275883,0.7248628800434369,0.49560779083584106,0.56067387550373,0.44465649734777696,0.5534327782295878,0.5996105653781796,0.6599835221285584,0.7151725770870034,0.6636766920488762,0.5737172302627411,1.0388640638564264,1.5251894250572884,1.2273008121014088,1.5512451609026856,1.3543198952750484,1.2371104055822137,1.1619770061019925,0.9585933862148492,1.0595798618108934,1.0609413302751771,0.8684499401199183,0.8346425712849961,1.1536206835677052,0.9080046357620188,1.1036811484470928,1.0003796439467445,0.8687577923767044,1.0344078142230078,1.1838755959507234,1.05571639519175,0.9759459753034602,1.3353313416918344,1.266493313859808,1.0880843326550187,1.2884644560597893,1.561436708416692,1.267502668578571,1.2735675838540008,1.0669310432990755,1.3240543255222637,0.9597236354870256,0.9231409165660671,1.052869640361393,1.0227102141850197,1.6110778117021032,1.1581373109116546,1.54259385578328,1.0859432492956294,1.0495857465805767,1.1866467072359548,1.009258660543199,0.950218572142115,0.8488772657804862,0.9343960634139952,0.8975647035615909,0.99508055560368,0.8760927312994318,0.9987027943232322,1.15163935291547,1.0205230323393046,1.0958326381343066,0.8063246609444592,0.9337881519259549,0.9374169359634268,1.1031665057007478,1.281702027737841,1.507770674943006,1.539150164445299,1.358675209389879,1.3856561773513794,1.6085895847687146,1.565372019507779,1.4339377288426711,1.7046359884062436,1.8534346007081786,1.644280403355441,1.6501179966740698,1.8809427059865145,1.9294750762855473,1.6532587414674353,1.6751426867916317,1.4288552895528643,1.3857777250753955,1.3302736693474069,1.1655708074804723,1.1512136185098427,1.067053220046892,0.9815806379856369,0.9116167613829768,0.8997268369794671,0.8063536973020679,0.8129854759281856,0.9970474632232084,0.8814903523373117,0.9625231646389975,0.9894575805601384,1.3114211761479893,1.1400185884841738,1.1205241834083954,1.4308004871228073,1.4963708265859235,1.3185661158117394,1.0904231030685243,0.9109616705294227,0.9348956125714408,1.0623292104583375,1.0709153601614623,1.2353759218243157,1.142848287232613,0.9290677585106526,0.7890677649132023,0.7127491939847076,0.6478297743638666,1.171527982357104,0.9282178967444873,1.0525350914871148,2.1007967598491404,1.164248677805156,1.285207900424116,1.4652697554400576,0.8592769196645005,1.2450586695113746,1.0769840077954649,1.2235186122460728,1.9556588843526859,1.128585677236468,1.7221723166864413],[1.0774027842273464,0.5583093259777949,0.4881871036332361,0.3707715300322571,0.5167693903652071,0.3733857168296285,0.2984296859604729,0.34731408259046925,0.3753328252453341,0.322822961435851,0.34463816413902215,0.43536820251146063,0.33465714263707264,0.37038457553097914,0.4901045753894545,0.38978963413756884,0.4310648453301166,0.4527967427234238,0.5397858744488712,0.49406976396970287,0.5561267948860262,0.5907458804675728,0.7399266263511025,0.8496293565154469,0.7007534220485843,0.6047701537050113,0.5095999806906273,0.4357611720546919,0.4153469420523183,0.3768912263477521,0.4643256432641405,0.3982675526077887,0.4801021750995754,0.45187126220382157,0.3899562183925525,0.3963793425031586,0.38598006313753985,0.42477641518384074,0.4142216335756566,0.4323993130440092,0.5466960632078366,0.5390571922582376,0.5023802766036696,0.7705229727233334,1.1691076257770916,1.643763516244373,1.910145273277985,1.0682716781083443,2.318966849511506,2.329592854549882,1.139807359190855,1.5823880468061584,0.8958328381013828,0.9190464408952733,0.9387515503839722,0.5298556862311844,0.6108244480433179,0.5965861421470234,0.6518009450166405,1.0098878237999873,0.6532840682322048,0.6225344069839794,0.574123002158525,0.761280242376918,0.6223048967634535,0.5418102801250447,0.7296055180639546,0.567820926086447,0.696712143275482,0.6743787610848122,0.7564831736763489,0.9980170656667117,0.8002464376666525,0.9492330088929902,0.6239612843241615,1.1584128754209129,0.5429151825394104,0.500050727724291,0.4428063382599266,0.44982860854452905,0.3992613395022498,0.4822501564427095,0.7166046096575697,0.4209446934847977,0.3914381644662018,0.4107861580154015,0.43541944848277053,0.45136602518991803,0.40381098468183796,0.5063718149203311,0.49852423821868136,0.7315952504932439,0.6074668126746194,0.5182528539494603,0.4747493275658353,0.5690187444105209,0.5648122657101896,0.4409546757473328,0.40900913494541485,0.5548181040381756,0.40839717598340947,0.5976201550062585,0.38563403309784167,0.4880507851277952,0.4656109258834346,0.5157514609031587,0.651379730857082,0.5870662176608251,0.577306382880112,0.6300829280603146,0.5019152704192331,0.3619073377443415,0.31719079147624807,0.38066700579103147,0.3562806002364759,0.4064185805013238,0.4671855168189537,0.9950114704656727,0.6977645091428074,0.5381638314670808,0.5273941479262645,0.4637177343226231,0.5468895252288215,0.36664167884927795,0.3640520795688113,0.39318756238321906,0.3782838199213216,0.4024330734975014,0.43998638902735,0.5090646355834619,0.5643454670216621,0.607884831847093,0.5737254545798355,0.5656098624508085,0.5097081547778944,0.627080073181574,0.7390023076540041,0.4488362615088475,0.9337846796252571,0.5525581784095455,0.9204706541956513,1.0179704690356217,0.6530607275574709,0.501580964780773,0.45074190614038684,0.38214080986562876,0.3690167616918461,0.35984555937720036,0.3178535564379448,0.38018544315821007,0.4870449296653709,0.4568940254673653,0.7073347770626426,1.07037971104841,0.9065138467674386,0.5062945594328155,0.3653678030921311,0.4172171061169746,0.3429529314096774,0.3917055217936712,0.3785618195906659,0.38035462052605973,0.3885211092101156,0.3776022937742231,0.5225378052990957,0.6030147053121179,0.5571803884752129,0.7797125001370325,0.7923191086456323,0.7323607401165987,0.5611271106897061,0.4603041725368297,0.44920194972779504,0.3977075331909283,0.3553701741019323,0.4057240219439411,0.43915097439939643,0.6054587306810431,0.41971602012069936,0.4557582715350868,0.3848628970142873,0.44025352660555234,0.49782399443480213,0.5877795464510799,0.6378443638596077,0.6304405264982527,0.6014442744194847,0.9984707549352996,1.4792873785555742,1.16380701127898,1.5352825367952092,1.37259120120109,1.209320092473075,1.1038653138579633,0.8864845820264562,0.9858505963842266,0.9504073160969952,0.7590764664783665,0.7302300662844584,1.0901386594206253,0.7941087083672994,1.0152714430133378,0.9314887572455576,0.7692328207284813,0.9262476456366926,1.12892920012892,0.9710507868438716,0.8937150698652614,1.2462675951888937,1.249980675575476,1.0553763390192241,1.238649518750231,1.548607662592473,1.2962742357675854,1.2799950364426906,1.0164229017532997,1.2939910600939073,0.8676785741245491,0.8702302024665968,0.9664681457806092,0.9488664517547238,1.547994675417936,1.086263919658488,1.4386084206606546,0.9216815633458774,0.8502131711991697,0.990979463495813,0.8094243840515006,0.780548292188584,0.7091077210956854,0.8148772131239004,0.8790943371750334,0.9867550323171028,0.7947697778497653,0.916967648729606,1.1348182846446457,0.9450754484988179,1.030888280245594,0.7096646194941965,0.8075272384055681,0.8116828775399408,0.9691484219131288,1.183439787176404,1.349520261605369,1.439840805972747,1.24908044735827,1.255037307414064,1.4896269106775026,1.485715554685968,1.3332102797815768,1.595782271072058,1.7676845183973733,1.5753616255903045,1.5375643261299754,1.7662868901446533,1.8543152613266132,1.5558777095095255,1.5447927276979485,1.3061215469560488,1.2419714876063435,1.1854526792917583,1.009636276720876,0.9966430384805453,0.9472217738856958,0.8392723692379311,0.7792894222348705,0.805068212672931,0.6682106787652247,0.6997269445623276,0.9254701823628673,0.7875530315488644,0.8690021988021395,0.9331951502833257,1.243144517246205,1.1031895871656858,1.0431744494272062,1.4400336808888197,1.4593014008037082,1.1954462831077763,0.956394174636787,0.7806251623162347,0.8735436888473338,0.9081280758613429,0.926547844203254,1.140410722898956,1.053719062488403,0.8053111839071427,0.6914617767644533,0.6327649120222709,0.5251195738027341,1.1513540942958747,0.8294267771075358,0.9996069432616004,2.0184841129825006,1.0834660429977412,1.2189257227418657,1.4554496285117882,0.9947597023347433,1.2935092596673623,1.2123510105103865,1.241363093209233,1.8407574724956859,0.9563531681976648,1.646852179537009],[1.0328233112083502,0.6419962606284809,0.6363918269658015,0.4369847736828855,0.5907232276088282,0.4339483924868094,0.36333323637011755,0.4273858644752408,0.42341011386579225,0.3430388386810031,0.3744065576749195,0.468703411248277,0.3545607233844987,0.38925298639030764,0.5004217778925208,0.39834441524083875,0.44271643094663465,0.46672369269748204,0.5804673379318541,0.5216914288148086,0.5870681559575535,0.6062296395942965,0.7737024862122782,0.865692252641437,0.7378645360528434,0.632543288049548,0.5214978224129126,0.45870493812233804,0.4386803441152562,0.3881152689901627,0.4656912040851308,0.4075589499093609,0.4841995615995295,0.4548448561630186,0.3963183914077689,0.4036121890998211,0.3969651670102588,0.42688113579362574,0.42078218756006136,0.4390631105422643,0.5542867150163048,0.5419672419932495,0.49464815368922643,0.7738903523620003,1.1674063648844832,1.706388652546965,1.9929232750526442,1.1058212020511546,2.3748178422248305,2.4563518359624643,1.1675975646922463,1.6622116345088709,0.8831744525634759,0.8721832913694597,0.9186018363188013,0.5276191791761016,0.6310388160298815,0.5979679377700091,0.6562985282044559,1.0564642955654449,0.69556892767297,0.6393737989966821,0.5826659563330538,0.7592525395401657,0.6520311410061815,0.5585000156200094,0.7558462875503354,0.5946597804038506,0.7324393037903908,0.7048275344580562,0.7831621190671954,1.0265570855371233,0.8329863574538129,0.9834257308053055,0.6412146793083965,1.1582152901420042,0.562550854974976,0.5024673555609818,0.44806749741255564,0.4566995367068228,0.40654180479547236,0.48697194117648956,0.7071159917827641,0.4564913554436178,0.4060916124007747,0.41960816605519446,0.4288769503855142,0.4597780862422047,0.4101785820050633,0.5104365507250932,0.5049479472369695,0.7245510939539996,0.6046486018413638,0.5114806952280617,0.4774155367056364,0.571791304801536,0.5778393380709715,0.46332459825418576,0.4449946648972345,0.5944895387750259,0.4565736015556642,0.6653882361490527,0.4429506890341292,0.5698202378826512,0.5291499566584248,0.5739257586530717,0.7516961529448856,0.6730603606643069,0.6742400677615168,0.6834047690039147,0.5819311665928177,0.42661620154081104,0.35558904032794436,0.3798048066086406,0.35784229079477614,0.41352467078256105,0.48712947844994225,1.0653522698877287,0.7586733773701511,0.5426945455026666,0.5492541915930604,0.47313886608900324,0.5582122486352165,0.3680767604767264,0.3646902523522133,0.39491460605590295,0.43296510274276523,0.44610884126406825,0.5025283143660723,0.5626485815653288,0.5855912828756614,0.6700561148511527,0.628727018050188,0.6033074029979284,0.5313329583584863,0.6449501127313909,0.7738577305885962,0.48036566196606617,0.9419909054811701,0.5905230696098477,0.8027072987748274,0.9926209367162252,0.6914514133336485,0.5126576996413977,0.46404533171504175,0.3960301404070564,0.38007865052794726,0.3751632751879159,0.3493618484856641,0.4178531876608842,0.5513557488883274,0.5119696578915751,0.7627184556482336,1.054622788719244,0.8746462395414487,0.5570958178758726,0.4258788939715407,0.48887461921770536,0.3915795209235818,0.4455888993149161,0.4001404661307313,0.3816811047124688,0.4075014315461625,0.38811506584036853,0.5452190408355001,0.6548833724823763,0.5969044664893132,0.8365834747487386,0.8535160947777847,0.763116577238729,0.5894053005365917,0.49432516119187364,0.46380159321153996,0.4136654967486363,0.3868855585182726,0.4481696943297473,0.47830120199417436,0.6386726974873125,0.4533854598183968,0.48769252874952945,0.40382823345599234,0.47717447702811394,0.5277416678997896,0.6087479421886767,0.6580991006565965,0.6462941890058795,0.6144548669486377,1.0045591644668066,1.4563916382303348,1.2104707804671284,1.5706131187423311,1.3556242704401549,1.2517692954864175,1.15425816268997,0.9471020343607923,1.0552992033757223,0.9674767219534275,0.8062732619917213,0.7906986735012554,1.0875624764142888,0.8293346345761935,1.0278371466031602,0.9512255092833045,0.8223543765982131,0.9687776984330059,1.1450121708063443,1.0046254358605198,0.9535568677802426,1.2862271420699625,1.2942716810122248,1.132000454925834,1.319413953777034,1.607769152763794,1.3721892532469835,1.3728178178958548,1.1057961318902338,1.3776439958901026,0.9635936036566934,0.9535126532883439,1.0660437729401993,1.0700557918866402,1.5171683969952185,1.1965870400321943,1.468224751829703,0.9771718006431332,0.9149655988645462,1.0371138150788999,0.8805723483286634,0.8991126916987815,0.8013284144611872,0.8924575069747054,1.0040241778824324,1.1014861647233305,0.8997704252231163,0.9526939945482287,1.2606746329440939,1.0240887959491347,1.060892103755985,0.7793840902813571,0.8562240627403783,0.8319061736605432,0.9799931773877933,1.1572920500833002,1.357605533984015,1.3946683232203532,1.2450973249774826,1.2553908651908785,1.4690873220396419,1.4687083492933957,1.3351950898844345,1.5912697014756607,1.7504576558830496,1.5873750600037315,1.5593560218168696,1.7777073930178504,1.8715767081253722,1.58980958294267,1.5954043651517589,1.3671044747208898,1.2908889047049676,1.2135332463218547,1.060060251103016,1.0944273119790933,1.0217364293224203,0.9095485223648789,0.8828352352999762,0.8982410844454721,0.7588625463172646,0.8191154305788788,1.0439086116662792,0.8799641623256704,0.9714248703337489,1.052800868778322,1.3372643024676858,1.1909412008908462,1.1187019623624577,1.483829140643243,1.4769268464399843,1.2960552091944229,1.015172124840501,0.8767321378855173,0.9886979207085074,0.9604249969375569,0.9951570807335922,1.1791347630260227,1.1040821228035247,0.8643508334482771,0.7294876180674048,0.6917411173378306,0.5681665296212289,1.1422134706106952,0.9834352040849716,1.172167803532376,2.0860981893202544,1.2729225454554967,1.4173448332959624,1.6327662008328292,1.0028884071397655,1.124351855292812,1.1700381172345315,1.2496471155709308,1.9124548400690282,0.9718841903085977,1.4497532672892497],[0.9754205502392481,0.6757933885865302,0.7620548139191694,0.4795543878710412,0.7171606404502535,0.44891150980784444,0.4021238008933589,0.48087188270912856,0.44678482594519514,0.37163934634038365,0.3788865047908152,0.5077721896792005,0.39083690599653853,0.38738588664996765,0.48666590658158954,0.3998513690573557,0.4366119453300561,0.44570165338989715,0.5635237774819594,0.5113284761063024,0.5621355055112272,0.5795713695854335,0.7583939192017993,0.836701639015028,0.7213490910223798,0.6072357419277237,0.4986502761784949,0.44973060237037676,0.435482286500747,0.3920383258264303,0.4358381308013773,0.4247243519984312,0.5161276713327836,0.4594644732252222,0.4000163010296226,0.398657959753716,0.4148573157551804,0.4350936665810885,0.4351224626170082,0.46545255483480413,0.5383262739007665,0.5319476083074419,0.5009101480151852,0.7600081796732194,1.1733484202991173,1.7367256936666577,2.0279436965316626,1.0877823828235096,2.373380930487562,2.4987285483069024,1.1460701461209444,1.6917725342568577,0.8858814509928531,0.8301406838460041,0.9325060592262118,0.5353784903538858,0.6229516549796815,0.5979634491720688,0.657398149174454,1.0405892571273099,0.6977864814743332,0.6102777759419424,0.5380350963768944,0.7176689607601088,0.6166888110232888,0.5275943874910901,0.7268322459067087,0.5656977525379518,0.7177556117498891,0.6627049071651103,0.7641446103363855,1.019947357294612,0.7907451893187719,0.9615268550584481,0.5957051137870752,1.1128654098457078,0.520689747845436,0.4733557012245341,0.4321870505162084,0.45206648713828657,0.4411447951104246,0.509739334672462,0.7159023708857634,0.5282314145394283,0.4645727283659992,0.4477972227989794,0.4430741493841739,0.49246050382904366,0.40444512089115825,0.4983393398097583,0.47818256012702,0.6993608061605492,0.5744634739642911,0.4902227914507311,0.4640656393090662,0.552879721417595,0.5828718594987183,0.487227280982338,0.502118794887927,0.6903444403052047,0.529406389502464,0.7560171410557447,0.5319054213482286,0.6677986715199424,0.6164083135541057,0.6676237991553551,0.8357815212367531,0.7775991337921138,0.7895884410271601,0.752218571054514,0.6918112371279863,0.5289606229754164,0.42891209973718786,0.44001804833695407,0.3997404401537347,0.4164681068137248,0.4799378294199925,1.0868330847036127,0.7619869180591727,0.5102257280624475,0.5218403122918845,0.4500862434513612,0.5496497820925845,0.3838277812072208,0.4143560961198034,0.4675036770404547,0.5497007948001899,0.5582427712281841,0.6150977708355186,0.6799135127452771,0.6766519319307343,0.759964073356928,0.7376558658396495,0.7064747235880829,0.6437751692176494,0.7345979778023448,0.8895317439895805,0.5767159881427891,0.9254858090164685,0.5981724267755536,0.8458767139908864,1.0302490381718452,0.7092323836925554,0.5338376679825503,0.4925929763430554,0.42162534906520466,0.4051586680344068,0.4323666615712148,0.41771750960057513,0.4949813673623672,0.6604768673815699,0.5743613339101018,0.827088619598141,1.07441341208896,0.8977439151753285,0.6285308850088502,0.5088278959778395,0.5922636054713942,0.46418553748123825,0.5413519522042536,0.4617261651305041,0.40014929113578074,0.4436809914611089,0.42168121409274395,0.5611325917622525,0.7194937640284362,0.6585813785740008,0.889700333520999,0.905683013261898,0.8081926346887773,0.6497728159045338,0.5438135549836342,0.5133053993730502,0.4834115810441548,0.45173298759907593,0.5218042204078107,0.5236475173325171,0.710729872727027,0.5182223144276621,0.5602064630213057,0.4771308557695368,0.5590938245826879,0.6023225542510273,0.6813718147989624,0.7382723121333125,0.7081312273463691,0.6443538822424308,1.0719861411162324,1.4819507018565194,1.2569035302250149,1.6058961085676742,1.3532254427145787,1.293598275606138,1.2078328565787926,1.0172771618935565,1.1311982143304093,1.0289934411628452,0.8789346339715748,0.8715263305396758,1.0789833925624719,0.8507905139113637,1.0299191930614235,0.9606162473421874,0.8618920651584119,0.9772401062137297,1.1225986820431055,1.0222336560164236,0.9722687592616163,1.2731304201030356,1.262384301619719,1.124243920307564,1.3107175047636266,1.5728710240807788,1.317186098816928,1.3404620635655107,1.11198316686294,1.360830702213074,1.038066382742806,1.0034242087130463,1.0985365308925517,1.1172079251353038,1.5191059836207539,1.2440272846763745,1.4664662874013248,1.0275214872526879,0.9788929118897916,1.0907200958687824,0.9564389680199895,0.992713169509298,0.8830327919718081,0.961795541431283,1.1020443533429554,1.199753385365412,0.9957975237433814,1.0245512912923944,1.3871089812772264,1.1306991893395115,1.1223255207233371,0.8570718687388735,0.8915868258973308,0.8559882799951966,0.9934349693227323,1.1490679335002678,1.3760528895791322,1.3512547479021886,1.226700082733249,1.2479475321211657,1.4420964869794173,1.42875810937934,1.3106254483295727,1.5612353352450525,1.7134374285880003,1.5550773337495676,1.5431535089122739,1.7614773342841126,1.8612623445045744,1.5788350264811684,1.6046323954253672,1.368240671729011,1.297302962673788,1.2184296694671028,1.0803352912929813,1.1331039836881909,1.0416425660258677,0.9489567383813327,0.9459941574678581,0.955080093411541,0.8393920539280149,0.9282478373532574,1.1508120565849937,0.9806868582363929,1.0744736278721756,1.1844869733498118,1.4569157171416602,1.3059294338082374,1.2325792174409773,1.576998422539194,1.5767622120896514,1.411891310770354,1.1126499066243105,0.9667769934751421,1.02346784264344,1.0431086458621306,1.0786466556219887,1.28336577151901,1.1851601220398607,0.9348573406170709,0.8178290137764787,0.7899392289313603,0.6628226280093252,1.1020812864397194,1.0723122677368289,1.2522906723197769,2.1473072343938373,1.3861747018971118,1.5127813818638347,1.7283344250689006,0.99947643383599,0.98927641464313,1.07894780532095,1.1698815013294794,1.867021544669492,1.059836865135083,1.357353454237931],[0.9386671535456158,0.5968916796332974,0.7057104391610897,0.4774417659856469,0.6895711507290403,0.42253145384668084,0.39098583453959834,0.47201892374168236,0.4358590732654854,0.375302652310805,0.3781868337777675,0.5147326595914131,0.3972523847106778,0.38064947890024087,0.48448607715601627,0.39980017334838763,0.42367398672875634,0.4213894049086061,0.5071710908946591,0.4689012709976083,0.505325963049022,0.5350264835346916,0.6869090163680426,0.7934032303425426,0.6814107583418411,0.5587570574370992,0.45988084942991087,0.40652582233848156,0.3955197844868192,0.3924479237292704,0.4367736817599156,0.4426634515567434,0.5277290332372375,0.47270177451779266,0.4062932099531464,0.39842041349185237,0.41214027502333866,0.4218735801205184,0.4159863979287428,0.44850729552935586,0.507022078232342,0.5135170521122988,0.49386579065103,0.7357688565462276,1.1594802644334545,1.715019309994044,1.981914860428607,1.0298079664603046,2.354820899219111,2.449585681876794,1.0984480310626754,1.6862572361685177,0.9484653319986601,0.8491256923138679,0.9703443307491952,0.5460388371397243,0.5842358427222908,0.5698513367998351,0.6374054397834923,0.9554330386770061,0.6336408734617627,0.5593017577143211,0.5074264787849347,0.6756714624807514,0.5471464067255258,0.48104376076567773,0.6780449693785091,0.5257766224445231,0.6765676574653077,0.6313015152077361,0.7580986306630094,1.0227773367041035,0.7694493568386978,0.9079330494482988,0.5729300255896712,1.054578718749928,0.4917918323616676,0.46458665896314044,0.4302429497210507,0.43591691155577356,0.4470797013256073,0.5092408816670023,0.7178121369830953,0.5381207186023075,0.46254948618557085,0.44496659148531015,0.4344437574302524,0.4887009698827356,0.39510821562885734,0.5008963385445512,0.4760819334353797,0.6772455772940285,0.5491570970367857,0.48043803915079,0.4653559374353596,0.5340209298004992,0.5774631598654372,0.49849923473140806,0.5224389103785636,0.6903545099475893,0.5453463528010063,0.7626550266980423,0.5425328339018923,0.6794188057821546,0.6137364936717637,0.6610491917534912,0.8472188470630949,0.7254101878370992,0.7346720865632871,0.7362803854321324,0.6590990127475074,0.49605865133079036,0.41720124293389976,0.4067404029087516,0.37912018131921493,0.39430633556959926,0.451675588800662,1.1035669914257487,0.6627099264872592,0.5100891088544045,0.49292874404181375,0.43824482394168424,0.5189839602773314,0.3569267029117283,0.38876695685271045,0.4162053888340216,0.49613151004340217,0.5130435910714299,0.5588246730729715,0.6365058958927391,0.6107695093201407,0.6915177210586357,0.642537799269145,0.6722694429072634,0.5753878782191395,0.6761368139320113,0.8403608110795978,0.5163557788079304,0.9287187629623558,0.5412447625938311,0.8602393956000552,0.9751276908998949,0.6567082628921477,0.4978822980055897,0.45420170199685983,0.3979773382025291,0.385567066983527,0.4224847609168492,0.4096370475363736,0.502315164744836,0.6587751367413138,0.5912331276339965,0.8462636620086785,1.0390910217240503,0.842431231581324,0.6359658687352115,0.5249763097619665,0.6056998861461262,0.4798089962753447,0.5388292354964133,0.44818186079893324,0.3984030471237226,0.406259511963251,0.39304499091947226,0.5199913054746492,0.6573248702553501,0.5956442573889997,0.8045969963466115,0.8426890752645511,0.7545133577716274,0.6027097080033166,0.5228164401074689,0.48599236682091745,0.45348076650614,0.44269281757284423,0.5191770311144626,0.5373430244777904,0.7470666969335705,0.5060798977032221,0.566291362180231,0.455417082703478,0.5380730903113773,0.5676024915008975,0.6310927672805725,0.6697517257656371,0.6508891475229379,0.6110180592131402,0.9786843828569604,1.4200809100460632,1.1665796325249846,1.4543807556624797,1.231267689083989,1.1800237203601607,1.0968992678570237,0.8946610237915605,1.0012513829861196,0.9421422893857104,0.8185445107234156,0.7986210639183469,1.0557417219525798,0.8546156035781441,1.0586349934161816,0.9650633733954218,0.8498882565732021,0.9983476834779575,1.1431413201426457,1.0067519563671596,0.9604464898535804,1.2998102992196716,1.2602711573809597,1.0984502585751614,1.30050209720476,1.5657043693700556,1.2875393998637772,1.311461762273201,1.0695659721010113,1.354525883640668,0.9586779633191163,0.9673044167521913,1.0852233398478182,1.080251291532039,1.528518314894626,1.2138087387210958,1.5271944372426631,1.0439656334250336,1.004239419791999,1.1186819359940936,0.9500458283017074,0.9357801561978244,0.8379782154311286,0.9330034637827682,0.9700803651180521,1.0766478663162582,0.9032092770092273,0.9434739442042739,1.1791704948129074,0.9769964279554368,1.0215842125423535,0.7693644625509322,0.8780870239437825,0.8743722618864613,1.0365438533300384,1.2051771372808961,1.447355153429787,1.4326377253330824,1.2931114775910915,1.3184635291626212,1.5039278954514523,1.4966132411045483,1.3705522373453485,1.6116000882562624,1.7519157775405003,1.5912915877934632,1.58723220816404,1.7924352458542596,1.8727725083170625,1.6035961520482813,1.6253421956761736,1.3973541311554059,1.3429690709695667,1.2729436985146905,1.1285008441341744,1.1536813202035245,1.0592782850653448,0.9657960941521615,0.9275505557609419,0.9269151720860754,0.7921222467814754,0.8469605266592829,1.0371013931485564,0.8792278973557757,0.9561586536864116,1.0258497080113111,1.3215869253360093,1.157047659837368,1.119228595921991,1.4156944621038896,1.4607816966032303,1.3466378597451705,1.0566127449246507,0.9005320894064408,0.9507015326934276,1.0070228830082892,1.0263505884371162,1.1978952682541448,1.1115785963098719,0.8758538878628657,0.7452816186334035,0.6976657106387067,0.6032058524572439,1.1101682300749214,1.0667429831875765,1.2504192782568564,2.156839342419638,1.3737345326846762,1.4876749340661908,1.6845365064615672,0.9633616038887179,0.9747749677940087,0.9963343585033874,1.1408117077593718,1.900526679823652,1.0949889428152075,1.3490955744340238],[1.3902390581869721,0.9174174625667398,0.8844681986839857,0.8258242378693909,0.837822709952647,0.9161066615772031,0.8437641908590316,0.9288123346378704,0.9802055460491368,0.8661168087972347,0.9301631796279315,1.0299766381069306,0.8896325210566012,0.8621978754757753,0.9597171119904533,0.8982349121209233,0.8591773910336796,0.8382131999741202,0.8063186811187648,0.8301637737543965,0.8215842765124705,0.8482160401185505,0.9258749416816566,1.0068511809483682,0.9364785008210563,0.8506654656166469,0.8261097522071564,0.7867603437082458,0.8075609153998679,0.8656560920202913,0.9341031152645157,0.9394008401595978,1.040563738865296,1.012692970914233,0.9256844328089636,0.891646458329823,0.8961479849073817,0.8772320705178828,0.8421897023964121,0.8254756387320908,0.8336350879648421,0.8849848291289774,0.8928789690568424,0.9901330457552976,1.3362621031620023,1.752471805096296,1.970915269535604,1.14672553254748,2.354003332468777,2.341600592647064,1.209335143814942,1.8207713600264306,1.3603935883109186,1.2577329632394705,1.3254252209755122,0.9302478977419952,0.8539637115301428,0.9152193601166031,0.9978115197196121,0.9047437457503603,0.804719562528956,0.9086076930127569,0.9416672938132756,1.023832865490994,0.8127196009380796,0.844386949920453,0.9366433040000198,0.874300527058505,0.9397076830908997,0.9315755255697782,1.005857869374934,1.2353338286875306,1.058612605415269,1.1276325736556683,0.9494260985947179,1.397955652732994,0.9303662448968587,0.9826885844436326,0.9360968178545686,0.8889473234497065,0.9458976665705178,0.9481246015427036,1.15643682829683,0.9520440158140987,0.8621024453278885,0.8971998799190616,0.9036086789081509,0.9532005757649611,0.8766028096267151,0.9776446112087984,0.9524404787590913,1.118535721361371,1.0327389408690943,1.0466833992708882,1.0207968891572092,1.089634976501643,1.0973986376516918,1.0363207214514882,1.0278424347877175,1.1699713423832112,1.0322528257259511,1.1316540151496854,1.0001574945327352,1.025748698142036,0.9300429748934793,0.9743348652707151,1.1038139155766007,1.0032734719907617,1.0016301511971795,0.9833679840913558,0.9398056600546805,0.8131016418038335,0.8273402342474613,0.7763186986152384,0.8042964002864104,0.7697749251164473,0.7930664974345019,1.3125371187487445,0.8771884581892027,0.9045483273026222,0.8422697737997309,0.803138083895818,0.8453256471713175,0.7595088674704266,0.7803534496000962,0.7137195989921373,0.7598567421832398,0.7356160777862822,0.8009421288124368,0.9027289839648274,0.7485445841233401,0.8148094067577785,0.7277583656495079,0.9254799330014502,0.7417713797738718,0.8775764619041366,0.9165104932992981,0.7242149268438407,1.0995275946680163,0.7965836738746518,1.058443233338952,1.1114151662324439,0.8372206129916879,0.7776633697690463,0.7665147071616796,0.7997709968834944,0.7812620334249376,0.8479325628488191,0.8215199142492501,0.9029419401883327,1.0221940483912484,1.0269202453901258,1.2567542476548237,1.4879750334377106,1.3345722784006315,1.0843848002100633,0.9786809967019958,0.9930122693906057,0.9232387102672813,0.9281160120194298,0.8358346330153662,0.8458729022403312,0.747824215988146,0.7755037357019512,0.7508821052537096,0.7748152303962341,0.760959660892845,0.8815470342319106,0.9135285026154873,0.8572614453060031,0.776404832401985,0.774436958591534,0.7941439006818733,0.7904360384133121,0.8244796797425679,0.8968898463012736,0.929220020493151,1.0983739786327247,0.8944297253812717,0.9164545979816,0.8036139807465283,0.8544052737510636,0.8232129086549937,0.8066394714109222,0.7946322642321768,0.7950613884694827,0.8410310505372579,0.9370677439842744,1.3922117884224074,1.1403774630186712,1.3494748379233465,1.1660908451153427,1.121553020996423,1.0461541948763293,0.8755377400233937,0.9478078425799749,0.9251774308145181,0.9219112340278018,0.9105341230627504,1.1489775568158085,1.1139398793388806,1.3516675652935675,1.1897876610180196,1.0836810788982045,1.318945605546718,1.4349354577760756,1.1723926220277432,1.2370075540697203,1.6680485397447524,1.5179264692287644,1.3638212748580312,1.630542415763116,1.8727033552234518,1.5235905807068415,1.5789358342347886,1.2738478737409293,1.7153595671128075,1.1476317576174846,1.2483804668656173,1.436461333232255,1.390292103524129,1.813313112663441,1.5664274829133789,1.930545661338354,1.4045499578553222,1.4024551059969337,1.4633929717819483,1.2950121559069279,1.2256364286761592,1.142170404808629,1.2413993487464527,1.1635214537253824,1.2445340611038886,1.082738298960267,1.0921429955470645,1.173081262163461,0.9926780781052958,1.0277050426284216,0.9130208214531649,1.082256539440557,1.1637911967566634,1.3938448728604622,1.5860409816856753,1.8867622244847264,1.8491834963294964,1.6628455852074349,1.7739177981645058,1.9900419031756078,1.9070486949508467,1.788677280049221,2.1022192795864685,2.238884720133621,2.0162802173103427,2.0578261527744726,2.297098786561389,2.311530292496624,2.0439845510313885,2.111111506809929,1.8511336362086572,1.814020998048933,1.7009202806139907,1.5792705897787986,1.5847092594787207,1.4217590361974266,1.327417397581473,1.2682267279740602,1.230935823955137,1.0361812136887896,1.0749474476576144,1.1789251848138453,1.0156532089204706,1.042495374324448,1.1048657604674808,1.3868693700864125,1.2134051374380421,1.1981591052444454,1.4398868744935822,1.5138851429472187,1.4817286840010977,1.1719509217942874,1.0490879418861185,1.0865007149646508,1.122677278726,1.1165840766545094,1.2426358968493458,1.182094045942042,0.9976190550020445,0.8543159246450034,0.834000743420693,0.7787662215950036,1.316519463503937,1.4349896339726624,1.756639247564273,2.5932635939881714,1.7174399900417334,1.9675318487898372,2.267286458586691,1.4071909464331995,1.6981628063315428,1.777157698227068,1.651852847970455,1.8795488038070836,1.5273959217688233,1.93354317610049],[2.104563066368434,1.6752445863119583,1.6132642645460147,1.5170394142469477,1.5312596233972071,1.670126489872324,1.5243192518204547,1.6755508718808125,1.5861826153455345,1.3359817352025651,1.3611767075147465,1.5738606158244495,1.3726615648889253,1.189098787095107,1.273758322359247,1.3074669937483272,1.2128180034097644,1.1293823960430744,0.9879203616647444,1.102339196069709,1.0360605068431519,1.098621495859289,1.0925871109940615,1.1311809207405965,1.1400213252106248,1.0549936771291295,1.1402619404575658,1.1149877684966127,1.1791397970346635,1.3403647297838128,1.292480111233216,1.4517657760133238,1.5206941699196985,1.452781696328877,1.3996848357732776,1.3131010834088337,1.4308886379045247,1.3237727133236143,1.3000255209840093,1.336299931342814,1.216092971362092,1.2354779209356557,1.2882316985111375,1.2745479221764573,1.571442767654349,1.8806980568847735,2.0769529673494045,1.3565517164167085,2.4141788236102313,2.2974891429250146,1.4772062123147265,2.07336672761479,1.8620754754999052,1.753794114357765,1.8086510433222953,1.4100614105970848,1.2278322086229376,1.3299166184433606,1.3982300211613206,1.1101264385803673,1.0541875727037398,1.1786991487933818,1.237432598316485,1.253082923649458,1.0225185745259162,1.1221043204099754,1.0967880873452456,1.0893405067206676,1.0619327772322673,1.0830875664246808,1.1282850521882053,1.3125022693162325,1.1594336301282773,1.1952158661802181,1.1414558203895417,1.5499103029518262,1.202436164636385,1.3167845479948361,1.3263618518228846,1.298686969920855,1.4781610116069703,1.4957095660223039,1.7314625916956299,1.6001070178840404,1.468296696535972,1.4582939021722103,1.3819854919125139,1.474976581368799,1.2853016346109893,1.3943038450689853,1.2866174608054266,1.3582129912928802,1.295912177333655,1.395630046228456,1.3865874754195462,1.3958747796815962,1.416987255417397,1.5102326829680093,1.575130113894735,1.8370389821021615,1.6694468381368346,1.867279807100599,1.6971166030741236,1.792682561970616,1.7065999774148286,1.754865449631592,1.8615499148826362,1.8349025819421816,1.8372551040169418,1.7676590615676457,1.728271597056854,1.5276057209960143,1.5059765922753576,1.3344657035538081,1.2547721544174972,1.13591190912012,1.088896088404896,1.3873188408499435,0.9835167659601395,1.1375844950004426,0.9946593600223894,1.0411767439742643,1.0554080786816187,1.1010096348685712,1.2374719394473521,1.249189467880386,1.4296993764032702,1.4074837312878252,1.5424611907215657,1.6700866197714248,1.4573804511064818,1.5645850128378704,1.42447800462042,1.7032428187853699,1.4192722523346348,1.5024595295121406,1.4730508884909193,1.2619780987930498,1.3906340675142823,1.1884006340747213,1.3154655419185295,1.2434142555170233,1.032697050708224,1.0885325195546314,1.1100813526311066,1.2251903563205704,1.2230243505126002,1.3769558341499524,1.4591909539040762,1.5495410390334268,1.7836519878056114,1.7828213233992396,2.0750965106725987,2.2587595581068767,2.042197978414089,1.8214939430774206,1.6629800330998399,1.741549092919547,1.575756746875866,1.6437914709031252,1.4663833562532933,1.399732344148125,1.2411030828207192,1.2948551879282235,1.186076152386583,1.1099886525606408,1.2056882776945788,1.179003208545119,1.2692713243047269,1.2291700729522264,1.2908208305069406,1.284546022900609,1.3607946270117035,1.4121785900619632,1.4668727788922091,1.5880067834101932,1.5509889002772468,1.7659151388041832,1.547826892616007,1.6179529229990175,1.4535667266504708,1.5751801173606266,1.530790874329417,1.4617823832384078,1.3748215415331468,1.3209928882024031,1.3247115465268775,1.1908054117506983,1.5813795131084603,1.3848710790284429,1.4310697538193216,1.3510336496316049,1.4310032786556406,1.4251942949288077,1.402985631454744,1.4288196092016883,1.4234828853268748,1.5783629258599166,1.5890402300868742,1.7758014795776773,1.9187387957530766,2.1826332707110527,1.9675658686142383,1.8539317530078692,2.159515954299794,2.25095413992807,1.8305013454127996,2.011432396427067,2.5172302802294766,2.285103306426396,2.109014928616711,2.421233626228387,2.6643456438959103,2.2290605403982218,2.25378425961032,1.8936382516613641,2.4112863197909458,1.6294089914356957,1.9309402335261256,2.1798077896653743,2.1332117878508194,2.4255250193246516,2.3382819305943787,2.7383059540345505,2.2429646625625232,2.283764794511443,2.305112489338062,2.1518266939451665,2.0113492493821785,1.9775513070593846,2.1101737119552717,1.8882546752907563,1.8863689653483322,1.8360203970738092,1.8280188450611032,1.5712396789299279,1.451283122537515,1.4879524575860505,1.6184170316939068,1.8473328125080966,2.0131722603168996,2.2835736156753126,2.5029803539267528,2.793313471113877,2.7585172891675835,2.5369875124095644,2.7144664219413577,2.950600482980977,2.7990837516983276,2.6941404450074256,3.046190383349162,3.1721654882820274,2.910876560611071,2.969084297441436,3.2164188192335432,3.1918127283607864,2.9037261771532585,2.976846472627291,2.708453579390866,2.7057947482072944,2.6060016637579553,2.4910681607250416,2.4465346808138433,2.2666618746928062,2.1928763761315695,2.0815779414627564,2.0076226530172985,1.788733247663172,1.808764325741926,1.7485859293188073,1.572806441319248,1.5641419619595243,1.5587681016769552,1.642056719504667,1.4996390902725953,1.4823940277194008,1.5477301028393737,1.5644488914273798,1.6926134091751177,1.4805378716352666,1.5660154733090523,1.679277504763538,1.4709421805091993,1.4584961767831257,1.468526696562831,1.5112208307195376,1.5413983433325353,1.5214909008478046,1.5756103070030525,1.512883026625034,2.0213744994030374,2.3381608326806624,2.7691518674310265,3.508611452235976,2.5479061573029895,2.94166957014352,3.288691827880379,2.2812668656944295,2.86590882002887,3.032224810245073,2.459819469107736,2.2303863462843334,2.380649257071641,2.857571903113014],[1.6517770124990865,1.245961787669907,1.2218991888142203,0.9754019663951964,1.0689151687696905,0.957123712639974,0.8419117418398003,0.932771355180435,0.825674634040698,0.7128266331417781,0.7486832831864092,0.9159132201224864,0.7530796105782643,0.7032973639288892,0.7728276543123811,0.7570895322230362,0.7590067988049792,0.753700405068544,0.8023525785961131,0.759989067435527,0.7814397691842372,0.7904016209185052,0.8865813068452237,0.962154930044015,0.8496158002193099,0.7882522068554617,0.7384903876377489,0.7065363369380956,0.7315729439735925,0.7772031564752397,0.7981819293357132,0.8320438650824125,0.9290061386740476,0.8806754807282682,0.8055874315099758,0.775517528388651,0.8333369115575857,0.7742494163661109,0.7692129179188987,0.7899188050231034,0.7700532699861007,0.8459159061934115,0.8316405693192561,0.9616047174684332,1.3361193526432242,1.7788970513277267,1.9723251803570345,1.118542061742532,2.4133139041894247,2.3903784135087625,1.2085432297302483,1.8080900505705033,1.3125768422747655,1.160230201869272,1.2981893728471299,0.9061119769500854,0.8176719975083869,0.879185759107831,0.9602826396292192,0.951574582949016,0.8323797664815816,0.8270883632762719,0.8366786248154412,0.9476628412915978,0.8114293069771074,0.7651044748084302,0.9391514513348094,0.8488045756580301,0.9861033916415063,0.9225455451104964,1.1093755805961956,1.3869088038933037,1.076742475770142,1.1865806702921848,0.8591397080904222,1.245231154141958,0.81489601940087,0.8257218492408434,0.8043245627886402,0.8020362146635702,0.8990209074766533,0.8995471764056435,1.1217851811322874,1.0105631469280567,0.8849766053399645,0.8721058153106307,0.8090239297880315,0.8951342882665102,0.7755039338025242,0.8777724691277614,0.8364421781340474,0.9412943082304984,0.8593419750476112,0.8516794108745921,0.8336127770272442,0.881834237812951,0.9332034499078449,0.8918374085127848,0.9243424626533451,1.1494701855630072,0.9931265458972172,1.1781317204730557,1.0098915814237104,1.1195864775298927,1.0715512376251355,1.1180775940302168,1.2921046969323955,1.2751768093513882,1.2939815590399042,1.1958212685454386,1.132076241087323,0.9271251376619042,0.849496082654637,0.7727394909897868,0.746422841326,0.7212316745177395,0.7427806940863071,1.2157618896925957,0.9198823679594487,0.8161327068042443,0.7931463697028455,0.7270517680523187,0.8130857756732011,0.7131162412821693,0.7256594860625132,0.7547839237517474,0.853183188377426,0.8848802695058346,1.0112378704461686,1.132275320454836,0.9973468871123448,1.1253935058340823,1.008101671781068,1.154520502139281,0.9613017598456153,1.0129449609506274,1.1305040063994045,0.8371620740383415,1.1241878559656757,0.8208468711563159,1.1476862988070122,1.1387751604752672,0.8480668956347059,0.7524491783684096,0.7399584046956046,0.7269347659471461,0.7185597825512857,0.7875831734326287,0.8241407124825306,0.8819783569591916,1.0877409014308124,1.0606756820101362,1.3792975348678065,1.5206191042970376,1.302694913245039,1.1182814508301255,0.9590549660308214,1.028997606623355,0.8960253092765016,0.9971863445055659,0.8810877791467763,0.8174037610762518,0.7645318264893958,0.7741464879014043,0.8051074259107199,0.8936555095016986,0.8667686431486545,1.0019771951274663,1.0651156766955088,0.9969507373750108,0.9135054506655702,0.8671718140272607,0.8732223997690883,0.8691388057061562,0.8800378127276924,0.950113243850013,0.9163795287991835,1.1361436987218243,0.9346723984281071,1.0068113439228235,0.885447113179449,0.982698528654079,1.003593236980164,1.0004125464776215,0.9548793846747382,0.9081816977704664,0.892904664868352,1.1093863600599498,1.5241254393517203,1.2204746193603255,1.3999884034499908,1.2168087899909952,1.2480527156738395,1.201584523674965,1.087345846437491,1.127687612345912,1.1228287905297858,1.1594593860478888,1.1719916485430402,1.321383143423729,1.4426398946857892,1.6033698284770261,1.4020042757043139,1.3875467115791449,1.6674361494933985,1.681976499708908,1.3678469618688867,1.5869392771946509,2.005709984509673,1.744007855532,1.6942492544386054,2.0224060817509852,2.1264283494479,1.7605471257558085,1.9681168509705311,1.6491105457486332,2.2226846949022327,1.5424159067577012,1.6949495489291695,1.9622680854391472,1.9577588935337402,2.3330275184876634,2.1392090703128375,2.380108723523483,1.908651971762188,1.9085898913221646,1.8842552333716156,1.7793264197176322,1.7777299869580068,1.6523720436994067,1.704666911874825,1.6464527333119505,1.7079705163064889,1.5269242726728651,1.485279271411217,1.4967624328139124,1.2971785734546892,1.21771269258026,1.2589252072552757,1.4049328492673354,1.5379932633051314,1.78589678374703,1.9150308003250476,2.250937695770642,2.1000403778699406,1.9321769545223941,2.1340840754124644,2.296691540268851,2.1285991267747066,2.0750157237519504,2.403373524464855,2.4796635462598817,2.269098332424088,2.424954154726544,2.6474909913805678,2.5723700658782094,2.422481545489517,2.5597817270180623,2.315257057022457,2.2814116620019895,2.12611438622299,2.068924229522485,2.107713018562038,1.878001335903975,1.8143311695670123,1.8126574884961715,1.7399096194710593,1.4743517403357018,1.572640845327341,1.6156781550369708,1.403124859372777,1.358617178642902,1.4552087218272214,1.5790269701406738,1.4390070110692952,1.4072034079217912,1.5860155915420295,1.6124740494260428,1.7667925481174,1.4217441504717205,1.3516101968295215,1.3176387881115543,1.2791260595731149,1.2543620604555044,1.3582102630333757,1.3117590663196106,1.220036587923497,1.064601891320126,1.09338528014141,1.0240858095849705,1.4340204441235773,1.7100503072378856,2.108067356998858,2.7221911579177833,1.8991586280594033,2.258608980561769,2.4364249686362554,1.4205457398468253,1.7771679931058677,1.8678571094653942,1.7496782950833965,2.041754793093325,1.8300713099110308,2.1643101223877443],[1.883468425638081,1.835470508769006,1.951375994288558,1.9408738474475713,2.078062571649785,1.8187293888563347,1.8892940528855178,1.876950421642137,1.8976150889454775,1.9946818542845826,1.9923932809203382,1.9603174820071672,1.9813926529469013,2.0679719285753357,2.067077205443252,2.057932027882053,2.093326408186695,2.1115926798485853,2.1455505737660605,2.1228670416814692,2.1541950703863737,2.1173408327149383,2.1920513463339284,2.129832187284671,2.119901675991582,2.107085630266237,2.0212510663388024,2.05301491650658,2.049385554646252,2.0004575964012457,2.0845428331020432,1.9945734206327448,2.0127331534967254,2.0173319200864386,1.993564346916124,2.028510410025424,1.975236767787949,1.978629975667585,1.9514008287519984,1.9406406530570213,1.9542248087616718,2.039912961424847,2.0633032291780187,1.9466580591352327,2.327577946039732,2.5197115265745214,2.5805891368669784,1.8917961124342981,2.647250779744126,2.665457855566235,2.01921701391129,2.039807571564764,2.146923793389185,1.946681090175526,2.2273433742090853,2.0111109653639256,1.9453487182068772,2.0623579408970985,2.0700632593526755,2.181846847705784,2.1416118912368147,2.1478408847283763,2.1046014044468024,2.277589657880011,2.1978522949481056,2.090700973139458,2.2368721681594215,2.2031434603238607,2.32586091234223,2.278753625769281,2.392225850196605,2.564109020635105,2.3566185442334153,2.370201476823857,2.1892694192006705,2.2495704589167733,2.0988486100448744,2.056351599306734,2.040456204267465,2.0337044069195382,2.003597880642116,1.9634584918647893,2.0551674902708505,1.9546090486987362,1.9318083470171687,1.9577385699851637,1.9794397709924323,1.9931044316587774,2.02981173982459,2.048758685177541,2.0977129193293327,2.17178503674729,2.1004584503152044,2.017342277050591,2.0356699801718268,2.0332232430560007,2.0684142259533145,1.9918024368683824,1.9721678580709903,1.8999298846021742,1.9375967829078535,1.9444140955622065,1.900461488773214,1.8968974225782342,1.8864149385482725,1.9091086673025437,1.9210702219383684,1.902951011633343,1.9396346539297784,1.872902443332583,1.8846683622094094,1.8991214054053613,1.8885153573601379,1.9391957587099091,2.0318933680500204,2.008882663387072,2.086014290404163,1.9329506975564943,2.13990677374549,2.1116233971123424,2.1136903653023373,2.092754112257613,2.022891588705136,2.0128020484896756,2.008493875234072,1.975706086912794,1.8866132805858302,1.9409044617201645,1.8973877814561724,1.8980681793007679,1.8243374012839946,1.862958009903365,1.8851848106361149,1.888968815051638,1.9099030306610696,1.9612339919935242,2.1052003683999936,1.9518043433219618,1.9540828434979844,1.9210300133552531,2.444058809287132,2.394943062868114,2.097660044793827,2.0424293087504517,2.054053064807991,1.991556773648138,1.990253703109544,2.0018036171838243,1.9280170447390903,1.944492370799593,1.9251012726341519,1.8759316029620992,1.9161253078601976,1.8084273932677866,1.817977899560936,1.8732478556311274,1.917198021182297,1.8955607507300394,1.9235009859147691,1.8985153120246825,1.9332888374413322,1.9454338450223667,1.9247495224766862,1.9245481962584152,1.9081665029809265,1.934023203437,1.864154116907251,1.8707936907468974,1.8458142757504075,1.8485738954223123,1.8403339642888195,1.8095507293782391,1.8570774845575244,1.9077630035278932,1.9180890925926208,1.9202478163531456,1.9415453659379978,1.9900609083940595,1.9237008466996222,1.9309438410007251,1.8750450517158117,1.895237872758172,1.896965904372973,1.9043899335731327,1.9692516914406266,1.9741769646357126,1.9912004639810383,2.2626157466923886,2.5844974657484294,2.2674515484872946,2.3124118367343143,2.0462748918820135,2.0647310687091895,2.0482141301573757,1.9360857240273885,1.9343922560098818,1.94051527488696,1.7521722324411348,1.7399629328965758,1.765250090165659,1.7413591957859071,1.8153833618864696,1.772971747347099,1.7430533056344584,1.8188047998039136,1.838347203295636,1.7860014951212557,1.7909093081740346,2.0049635353135047,1.8697466697598666,1.8618053838911197,2.075021598801743,2.1139573700037384,1.8963512070125537,2.086277942380665,1.8887981908446336,2.327998718602524,1.8394031580401784,1.8839928129732944,2.0973174368517915,2.1118517612414234,2.5635401221757768,2.2908762018959594,2.4286014225323354,1.9673845947959576,1.9502887439160939,1.9537111819999193,1.8953341110948954,1.8639716752818112,1.8474216659666083,1.9259723680237741,1.8589540938943292,1.9748555973535138,1.9155606884851752,1.9339883514784213,1.8752875596251595,1.7779487247026697,1.7569917223499325,1.726403429649799,1.758997776815017,1.7865211598018709,1.9136939272753024,1.969569109537077,2.2179394077902574,2.033069750038722,1.978025763939915,2.0750340030626075,2.1552501692998702,2.076028786205934,2.035008227901872,2.2503378106077316,2.293733192113682,2.159990833928732,2.308042681028616,2.467303201855248,2.4097082391466205,2.3382899191724142,2.4812396357876785,2.2748005043790975,2.23453055984018,2.0976892253011963,2.0796509619279315,2.145372881805917,1.9555160734805914,1.9107804640539263,1.9420747752297713,1.9067636112666342,1.7534444168806942,1.8126758898966326,1.8768903708831042,1.7906994684027477,1.7727879614661155,1.806706669234675,1.975958696127336,1.884686772530699,1.9076789340605331,1.9753628876014302,2.087435820390573,2.1044341907921233,1.9748235156559217,1.8240613334610316,1.7995365339681608,1.9892815733146851,1.9463611080597782,2.0308685253953698,1.9477323521301528,1.7889859911295807,1.8338666493124516,1.804378701601141,1.8637057206191476,1.870623877584813,2.095088998123954,2.2435865357492424,2.9028375511779334,2.343428052850677,2.4540213272019686,2.430800706839831,1.8067462817960553,1.9494291428792951,1.5758977478773124,1.5261423789268047,2.349649961779772,2.047942105163409,2.0821771061579994],[1.4198765269672995,1.2320232439272132,1.2639724538312633,0.9651804855102051,1.146853174041806,1.0741529703167845,1.07019598332694,1.1847867250593043,1.0677885671816258,1.0477632041083953,1.052442722807841,1.1725413634527433,1.072473601329775,1.0510765676381884,1.099252252192897,1.1159641072780455,1.085569709527766,1.0944126566786834,1.1616958477591957,1.12967679823163,1.122900880415562,1.1147015953484216,1.160375346529817,1.1700592607398324,1.1021746192390434,1.078824194703504,1.0580474929871064,1.06326494632185,1.1023124938914006,1.1172923055183657,1.1231184564963492,1.1793193873759684,1.228528029258014,1.1880158490798476,1.1513202672035736,1.1084106194682388,1.14661397986126,1.050102864391936,1.0346121760662699,1.0617205413111033,1.1791108861789616,1.094203601691282,1.0305155704102367,1.1664132523659065,1.486133767456244,2.078317454021327,2.1756054015182107,1.5096858317689674,2.8052332843748427,2.8682851652529067,1.4644032626724337,1.830525997131388,1.122143039161041,0.9853300493545494,1.345946272031236,1.1104735553992064,1.1833885916454292,1.1995624234721136,1.2568857296932487,1.475293812099589,1.2995041688176217,1.2223151942910053,1.1718465585920481,1.2162756842243367,1.2211279459138555,1.1305523355580276,1.293968421275475,1.223926307238953,1.3485619080471851,1.308773382407294,1.3807696282928004,1.5952235820154195,1.3910973922186436,1.4611245813217488,1.2135238252175167,1.4079015509745494,1.1757476067231027,1.134225285152212,1.1409231391924073,1.1469890863593823,1.1442510790480935,1.1225226213853983,1.2805390034734445,1.2080753866836123,1.11660193599027,1.129140973396433,1.0775212579680884,1.1712071437921767,1.1235678474408572,1.214737901193009,1.1717642700432287,1.1731762222929694,1.1323076287080418,1.1184741751868863,1.117403432255797,1.1359160940121211,1.1561335025897963,1.191225118064112,1.2382574769966133,1.3928509880802948,1.2995280226199666,1.4391930242262003,1.2636748521569487,1.34562375645772,1.2931955073300718,1.2610862440154051,1.4484897305813038,1.3072735079458315,1.3156603202565809,1.3344137608043596,1.266844065779394,1.1880639391081678,1.0986192556256698,1.042154398442428,1.0499204566496032,1.0370094360141329,1.1015860621136622,1.1994861555471674,1.1841962884298733,1.032599801634979,1.0570266107032462,1.0481106319405784,1.0494801247710117,1.0173274839184248,1.0252107261360703,1.0427945664519025,1.106952263892666,1.1364152508715026,1.1185367150414325,1.1654660866361273,1.17446757944094,1.2740204117038831,1.222078397611256,1.1900942977011544,1.1375771954126717,1.0567523713018245,1.168191041210836,1.0428078775930916,1.5715914570942517,1.1347891594824717,1.2180515387497304,1.343699889075844,1.2512556184863506,1.0797145302538473,1.0478068270077778,1.0409558349328623,1.0481786073978285,1.0723520319717652,1.1141847269510066,1.1563289981763594,1.282488410626362,1.3298028098979509,1.5907829714903698,1.5446148345610735,1.4269352769405907,1.4112197894179264,1.2693407338979346,1.3083286319230394,1.1890704506990064,1.203636400508734,1.1146404400916945,1.0834537237544983,1.1033992055726045,1.0679534055617814,1.127627434238266,1.2984140617366118,1.1115903391217354,1.2389227401426166,1.279078928000077,1.2273562208040099,1.09976809824093,1.1220399909612504,1.0568715335627918,1.0795110322775017,1.117328736843419,1.1922996651158337,1.192530951186204,1.3405463344320332,1.1685230278141114,1.212850728624077,1.11388429043371,1.1645984006629404,1.178954560826177,1.2010530274345783,1.2536053217459513,1.216114275714298,1.15459666729906,1.5226474724778782,1.8565561963051722,1.6430957265433204,1.8119122631243552,1.6294104600754202,1.562208060314449,1.5025208171751712,1.352108913045622,1.4284711497375076,1.4171350424512232,1.2945191599099297,1.2852392523140608,1.4135111601333383,1.3372234292700726,1.4010457694213159,1.3224987695055472,1.3055231888297656,1.425773299873468,1.4354330706730898,1.3788610015072411,1.393689636219727,1.6198105646123304,1.461999196150503,1.426965962070622,1.6325057529944398,1.7199977914788231,1.443592300025946,1.5992836964433634,1.466720641356548,1.8039388189977241,1.5205343038965689,1.4916328711272284,1.6255562646935073,1.6293279708032655,2.0704847505397814,1.7764529775470774,1.9425621395764041,1.5969586525929973,1.5780461332801896,1.6149472975924444,1.5637533649791169,1.5287233695574023,1.4668333573700494,1.5202070167489323,1.519306612305418,1.5961024801381534,1.459889339829165,1.461400496203469,1.6126745675065672,1.4405599843912522,1.4031881669458561,1.3148028683654498,1.407836240297619,1.385013494621735,1.5179850820205212,1.5978300922942514,1.8939915030153753,1.7150340422960284,1.627083146343653,1.7261202066351826,1.8139316888728114,1.7548226114252683,1.6696198674940363,1.8971476812818255,1.9589061541264312,1.7955570745688227,1.9159923120921736,2.0924143803041937,2.0546619786346585,1.9235495338086497,2.034266466618148,1.840995375922001,1.813281863022068,1.710045602017394,1.668121891175048,1.7017640880480842,1.5392450168891705,1.5084630270429682,1.5307558022796999,1.4965009685365236,1.386117931417308,1.4397209928902124,1.5454042089981848,1.4253597488513152,1.4334518906090448,1.5289777456827278,1.715301188421319,1.6024103926457005,1.619182663179077,1.7949807628472916,1.8998972731784467,1.873343135981413,1.659040094479513,1.4659760868789606,1.3720546468859693,1.603699074952693,1.593465931243694,1.706790312954742,1.6638300141038467,1.4338395675713482,1.2008441275816737,1.1870045079243225,1.1181834805274147,1.370990290387067,1.485213813516033,1.752713794887744,2.280774800165202,1.6747868051273587,1.8958837720007606,1.9529250368360878,1.2207586400254349,1.2138556573230947,1.2490531338892212,1.6653183773706375,2.466229858635578,1.8969142849003995,1.8984956761613476],[1.9811929265520714,2.1046676251118255,2.119468735958057,1.9731658592703485,2.1115500024871485,2.2415188511981206,2.2916873058563065,2.426850790076024,2.3215307073566476,2.3088279327768513,2.3073155897641886,2.3797273708551874,2.330433398789777,2.2747146572081904,2.3035734354597737,2.3555092092269097,2.2954934335235992,2.2928457984748363,2.2831736677279983,2.288098825071018,2.2405784767715717,2.2248107923727614,2.200651406343136,2.118963352504696,2.148945388351418,2.141953413825097,2.1763714984369433,2.214181978691772,2.318726911102819,2.357712843672294,2.343332798369272,2.415882152976403,2.429292496147685,2.3907180898114797,2.3905663356976485,2.337015677355784,2.3752361536140767,2.2415092678509074,2.2016979460156083,2.2253338618753715,2.2405858233910667,2.1782569825707534,2.1373297908153868,2.1743241374780458,2.289198693172362,2.84275054513298,2.898869698214467,2.476649578679485,3.602313557123108,3.7796409600141168,2.4659688457422355,2.744981524838961,1.8718064709374793,1.9116494244274993,2.2068750056576993,2.2072104550797267,2.347567545067863,2.3566099602364696,2.375064839150857,2.7144738436765476,2.4555899581404046,2.3750469681653748,2.343159265941364,2.2990913967224276,2.3502120421594728,2.298891735669761,2.3917269915502297,2.3700297297006543,2.4100652023849434,2.399009771345658,2.396459455720205,2.4723212548911166,2.3916550582515783,2.4612701805011237,2.366909083488725,2.3721677674495756,2.3757518493169725,2.348533470002262,2.352782210189074,2.367944225477844,2.352819170355967,2.2962812062067686,2.3463830256498315,2.33517744735931,2.2756987117683902,2.3167188250295823,2.266300819096335,2.3803212141184455,2.3421576285987666,2.4121828066046476,2.3758330821296227,2.311882123026987,2.3289727855905027,2.3160209539534513,2.310548443690256,2.2903419681092534,2.2960747550426492,2.4021049931150653,2.4467306450600663,2.55520716396345,2.491041050600572,2.5588476869954393,2.4416546862657533,2.460597652986089,2.3896903029917533,2.304092561753791,2.4616855644755247,2.2205941327250827,2.216654220033292,2.3961420557267537,2.3649466103753234,2.3494093768912405,2.316734304621695,2.229499985611574,2.256936095919358,2.1702139677276815,2.2240689465910917,1.957840086761122,2.183511693736931,2.1187502403041636,2.1382936541217528,2.1871753572449606,2.0648647872489643,2.132338173707125,2.1982269618329275,2.1575809061104354,2.2589042706368154,2.242371961216452,2.151860125098927,2.162344713843261,2.1452367434515676,2.2177593840060617,2.173776748992896,2.14406366725366,2.1048199865846335,2.0352369057656703,2.0018181842240397,2.003766619745469,2.456094730161501,2.140805190763598,1.9756247420511244,2.085510207259221,2.2041210991990843,2.1201833237974466,2.1242794517997767,2.2124360180773537,2.2092866022194007,2.2754537489630096,2.3368185257274576,2.3816129957560106,2.4338724436051815,2.5345802302689853,2.6211983862211716,2.523926317168468,2.5507629404932683,2.583492017000834,2.4934298870688463,2.482217785216759,2.4221754078375066,2.3624692719077616,2.264683562813606,2.2711356409584003,2.21632074929379,2.211461515293439,2.162976298443383,2.211315694343932,2.0578956893045803,2.0556698779292155,2.077217284061536,2.06272383217305,2.0377416772716415,2.124395680492093,2.113628346517737,2.206138044975944,2.2836419984004026,2.3565693664232317,2.39072640420763,2.4430814503815848,2.3382499442911295,2.328874817992892,2.2437759860176283,2.26249738193789,2.2083273305736086,2.199759243082906,2.2767607227077695,2.2932685925058336,2.2385322625807738,2.5581258133651303,2.6942813699884107,2.5501426665319387,2.6862767142921027,2.569082275768207,2.4166411820792213,2.383853170724391,2.2357775899440626,2.243578257668035,2.2464385624872647,2.152488039816562,2.134702449280727,2.3564495510453503,2.1497879286120134,2.2278209055263614,2.245700683028131,2.114972745336001,2.1421223711074524,2.23931355057144,2.2218332825939022,2.090459815570778,2.201121428620408,2.2324492347023925,2.109108965017884,2.1289296479090134,2.282869436496774,2.1681383924063597,2.041531405379041,2.027108922971561,2.052062811864824,1.9241764710369549,1.9454383921736706,1.9593612313772655,1.912766409516181,2.143174673752545,1.9620160358433354,2.228322598356017,2.0680331133880228,2.0686969505539774,2.215524857557353,2.143276718464758,2.058791941909381,2.046150217960006,2.0958080180016347,2.0465947705630048,2.044980131290489,2.0471761934346038,2.0817993984261416,2.1469706327810516,2.0452579470388996,2.1314662639989863,2.066479891216264,2.22386119300694,2.1303890425669993,2.171622767899879,2.2404300847473753,2.4147469649137903,2.3544706437295697,2.3129590763303853,2.2610020915034887,2.2999054346338337,2.3873690664378593,2.2627951325000493,2.322750388818885,2.3667863072925166,2.302639769966273,2.2990356340181277,2.3727154548126,2.401068097754724,2.2825435135199394,2.2898884936427897,2.196937908169854,2.190140469269508,2.201669609803946,2.1048162356080433,2.064657863719534,2.0609608159729538,2.0456193223933274,1.9734138403984798,1.964892149206082,2.0083441495947096,1.940516314211108,1.9640393769076556,1.9540724393740396,2.022381527651549,1.9915260781544695,2.112604967060662,2.0107743563162424,2.046876472014672,2.0287274671960454,2.1058895297819737,2.109184959993931,2.057689659387137,2.108707049280111,2.177469859265801,2.1805567977100373,2.1906489241319544,2.1476285186687063,2.2179716492923363,2.1470730462313545,2.0789333587785173,2.0870447913442955,2.107291670837928,2.337310523372014,2.0621875329974526,1.9638357112941605,2.197494147089194,2.1169023452954634,2.009057334205411,1.9355416906893146,2.1426827931607235,2.1376813228433815,2.293012311699646,2.911614722310662,3.8422602972151516,2.8883750520876736,2.791421578006431],[1.0949981121014818,0.8501005088173232,0.9145374989801359,0.6421719528955672,0.7810504585455076,0.7306797817988375,0.6902034131510789,0.7966581221432963,0.8752405842309636,0.8055048865567735,0.8937881305482304,0.9708255535323407,0.8094498532566449,0.8299608383901688,0.8823814663726033,0.8346951982554263,0.8201515977052893,0.8123699087726962,0.8466887544426327,0.7807145497770603,0.8062344826648952,0.8374835728720482,0.9342835557769084,1.0035221192165602,0.9579725324577549,0.8555551898319521,0.8086491199446018,0.7644686282436018,0.7400792619017453,0.7693977469524763,0.8745436542920717,0.8266584021976192,0.9373658598876283,0.9023482333038362,0.8077611101193518,0.7962122455096717,0.7439870447751036,0.7467738647412614,0.7047567041972219,0.6854029265258447,0.76286072631198,0.8183949992243962,0.7825263576002951,0.9616695224874938,1.2895571142135605,1.8638366408549916,2.0781586763297293,1.1855481356821624,2.4933629031624394,2.5775760858619137,1.285290660256378,1.8089930718430525,1.2063675797161861,1.0540500302418163,1.2080991239510368,0.8405441417025878,0.7928143216349242,0.8174043016637327,0.8937334686779611,0.9590472897323649,0.7862103017139783,0.8271322617185108,0.885233020502938,0.9963725606737174,0.8365743712696543,0.7826544532175266,0.949396083803395,0.8526839020544444,0.9739091923693123,0.9615953570333791,1.0712963768729824,1.3044089281072682,1.1171479482893107,1.1278965544376416,0.9380124047432462,1.2469409231348785,0.8619163154497527,0.8978356754570883,0.8089347356980416,0.7738575006775813,0.7914592332199094,0.7726578889681563,1.00420677682562,0.8278478889701338,0.69795622558442,0.7372591398251509,0.7537430015844422,0.8133419671237059,0.7768935757516278,0.8582047968471169,0.8841398833638132,1.1032547486392712,1.016530163925217,0.9757414426121627,0.9581345126413884,1.0513842348109474,1.0874042169715072,0.9580326979170672,0.9568969176020146,1.0999683146225405,0.9417983302924016,1.0739939737219384,0.8867446349263821,0.9558584800732971,0.8556894243606783,0.8834097495822661,1.0253547803557908,0.9032245310615291,0.9088639868286175,0.8979819366152947,0.8257038560574838,0.7044705446247801,0.7001166915273298,0.6888828712821345,0.7294555854891427,0.7482537174252248,0.8134792490103765,1.395113300261478,0.9153791700470585,0.8969714982565472,0.8729860013138515,0.8225261238562671,0.8438698659641621,0.7364023525903535,0.7144123806609337,0.6478143794776151,0.6720171823384089,0.6711810955043869,0.6881830160319266,0.7510817470417738,0.7580993157229171,0.8743723834861619,0.7869002108606231,0.8142934199436386,0.6755818331177126,0.7329582545166441,0.8782439474460795,0.6354780527695054,1.0728705725617904,0.7394988569886825,0.9756360439841143,1.0591091537685218,0.8796957895332307,0.7798513986031753,0.748506938455997,0.7187747869948767,0.6982159512873504,0.7454813238629464,0.7113210145810588,0.7940269097949942,0.9443447381191608,0.9063306716307009,1.0843451655264131,1.2669077300904927,1.140049254528537,0.9668674903961901,0.9043373591331381,0.9295343387564532,0.8209500325538914,0.8027202508404043,0.6863455917459725,0.7057205299074526,0.638618911916642,0.6428752616770332,0.6873249914453262,0.7953468301762883,0.7107597146628428,0.9155834533958206,0.9781223030432904,0.8839639327945139,0.7182219900336827,0.6677410265603755,0.6505279984611034,0.6496036469265912,0.6835422765227338,0.7710210465224684,0.8231653869325015,0.9776682630196808,0.7540422888061858,0.8065243514144141,0.6767242714481766,0.7423215108396438,0.7449797147981546,0.7957739981538361,0.7958694785094056,0.7794730979966564,0.751337292371664,1.0253015337824534,1.4720082976770221,1.2546424886269365,1.4480942702382975,1.2572941573989374,1.2423271947779022,1.1661852206930359,1.0045415051645394,1.1324258619622616,1.0792644745894535,1.02367108702064,1.0391635245743014,1.1866543515687455,1.1281424189977558,1.2293888734364844,1.1047571223651034,1.1038894616831731,1.2632711153441931,1.2892113420000924,1.1910064316861286,1.2609357668108148,1.5068299721593854,1.3770035763632862,1.3315194252856155,1.5602646370515243,1.6681896602293007,1.3804464153338765,1.5763106141895757,1.4288587719558044,1.6961028454995348,1.5346993008952143,1.4259559937391002,1.5531950732988173,1.559698164369445,1.9683611227461288,1.6672137564797598,1.8632063317912007,1.5162659299554555,1.4639515762646447,1.4521934021879672,1.4029781652543993,1.4289358247217943,1.285338270507142,1.3197507649226246,1.4003226609108697,1.4621535468420286,1.2528594812359752,1.2318838925098758,1.54287474949785,1.3231241367240565,1.1992661128072584,1.0894128068183462,1.1406368541672964,1.1706914634710937,1.3187873377022412,1.427155488900727,1.7175196168146043,1.564338135258336,1.4640711060334521,1.5486114308210612,1.6354490945410338,1.6150066348664163,1.5255880014058778,1.7554544237546468,1.8415162099365499,1.69842446185485,1.7963944065931754,1.9598703159589785,1.9793501630296042,1.814482803784568,1.9083660647796554,1.7233044293728286,1.6802527605414963,1.5556971023649095,1.5136394209409358,1.5914803249544134,1.4229191673019799,1.3613077350099012,1.438029614709913,1.4154704294703184,1.261419891843134,1.3744784890629442,1.5685949997026043,1.366856469970951,1.3588739854711198,1.5237053811856576,1.7602155879652186,1.5875292908367602,1.5439214946493998,1.8223376348898082,1.8815451602287254,1.8570855321636535,1.5285594691998823,1.3382081247749544,1.1856086208535956,1.3426013063133053,1.346957118065617,1.513337232760982,1.4272017269346604,1.2203732839571761,0.8832453283276631,0.8475066784369224,0.7230595557831001,1.161089165917023,1.2841045050054376,1.5110448923904958,2.3033370451793114,1.6024297196445936,1.7328532468745879,1.9604954338835034,1.1589363505222385,1.0005002272514487,1.0698692588645586,1.2749567781597397,1.9077703957426886,1.464978203116004,1.5829775173799172],[1.0209066988844218,0.9915047871071084,1.1393472504861382,0.718797094044658,0.9741983097782057,0.8058530424183057,0.7493836888321808,0.8668381587241747,0.7270739496637729,0.6482050029110622,0.6500784050223233,0.7986835780964602,0.6862665338287357,0.6185270399183128,0.6655240704955773,0.6724052181295364,0.6651636068982929,0.636727854029344,0.7104652789206016,0.6959885860135043,0.7057320688182575,0.7639221328649612,0.8570432504351653,0.9313075231582184,0.8871381093843125,0.7653031589697642,0.7280749017718099,0.6968373189873075,0.6876082656333257,0.7082148990852967,0.6855762115641816,0.7560476661461066,0.8177632143657106,0.7646168701332379,0.7214904985694215,0.682741210181294,0.7472810071937399,0.7010711340986314,0.6886066497716272,0.7535666543950066,0.8269457444754509,0.7506054786656997,0.7019927145256044,0.8819945329028793,1.3241121711674295,2.0571103544323575,2.298212564210577,1.414598926738855,2.729651050192667,2.9289042459890764,1.4758034261736723,1.9283868225316256,1.002290955524341,0.9146550846069574,1.1431503630183997,0.8403954220486844,0.8881648057158432,0.8306511526365733,0.8844012032121269,1.1738557536391305,0.900680377001188,0.8315436120124818,0.7865315438679642,0.8170651094068926,0.776690861458333,0.7177709162121138,0.8135966578819431,0.7084812814853675,0.7986426268973079,0.7762761715132762,0.8719282786272846,1.1069867048430964,0.8732693117965692,0.9516870189601109,0.7724988164463666,1.1255352701515173,0.7228890881984934,0.7399867921153848,0.7158994547111367,0.7349910428049412,0.7541616062805238,0.8280152638939234,0.9617907431258075,0.9055634425642344,0.8116515611746672,0.7888013499323061,0.7299153369008905,0.7893440314374581,0.6893126944999594,0.8144542302759267,0.7210838771365257,0.8341453214660655,0.7638314108700152,0.7244433049456335,0.7158659080572626,0.7699325808388333,0.8043307354295723,0.79076551641911,0.8369838568043265,1.029117161428161,0.9098249926323548,1.1232502778509152,0.9234112800943161,1.066374197928093,1.060555373665571,1.045470368001546,1.2725981388142114,1.1645090621914753,1.1760482376923227,1.165932265607487,1.0994352519553496,0.9459821521821679,0.7874494987912238,0.7070706984040098,0.6452570184609394,0.6959132475191324,0.7334190599129967,1.3152418825346601,0.8105372339594301,0.6373874267886726,0.6526638419331944,0.623097366751062,0.7263237832907536,0.6117943215050016,0.640934046268338,0.716319534188079,0.8785835379890954,0.88951220289507,0.9300913922024223,0.9838501844211011,1.0371378790194343,1.1735146446615463,1.0916841976548437,1.0261183154745412,0.9286532420453769,0.860003860587411,1.0264252925425346,0.7848831090935894,1.1902331091532736,0.8392596769175027,0.884086624231986,0.9836791493545667,0.9175304456827303,0.8047144865401558,0.7428317038708766,0.6881826130851982,0.6922453605577069,0.7009083520693047,0.7703181335385239,0.8439990283020777,1.0113908667013498,0.9684470331881572,1.1832247116470218,1.2358175786745649,1.1054343534396636,1.0088279087936827,0.8967055339854999,1.0002387978702256,0.8418722929983741,0.9063822233788383,0.8107621192475895,0.742984682295871,0.7479876583515106,0.7314450751875963,0.7986661393702941,0.9082096211890305,0.8391947346073841,0.9953045656810577,1.082484614058926,0.9667789821709645,0.8743401893291746,0.8084410623751461,0.7725935795848836,0.7952645973602882,0.8072171418119438,0.9158360128047447,0.881356152322266,1.0243000953642967,0.8808159324008176,0.9685163245065975,0.8533360683580552,0.9211238335401781,0.966927806214145,1.025207760029609,1.038585108811292,0.9730945742199604,0.8811540167344392,1.167703866183876,1.530920411813232,1.389518378026848,1.6081882528763645,1.4269259767855669,1.4184609487953919,1.3791715604828496,1.265139411445773,1.3977940194589566,1.3088575154844702,1.270460741410996,1.3078912754529641,1.4443274849806587,1.3469501226962257,1.3907004164630279,1.321221004774343,1.3355997003452638,1.4257416623731303,1.4413039706669806,1.4368644151183037,1.4364440167280428,1.5623960184660461,1.5146349334269271,1.4972265206381274,1.6273494626552705,1.6967438968022905,1.5135260369218464,1.6546376509256573,1.6078176008870333,1.7080817212137072,1.6180904114872727,1.552036518703579,1.5918010959182811,1.6265823281001806,1.9204168137990154,1.643941640171602,1.7675064793949882,1.5839448263478975,1.5328865195795025,1.580596637537675,1.5591953156471459,1.5915944388132435,1.4681072489068787,1.483094090754397,1.581529689669166,1.6269655243941017,1.4704714702444799,1.4703836037091944,1.780342708160594,1.5577699484887084,1.4578758784765238,1.3612079924744214,1.3692165464636568,1.3678154641717473,1.4575624080291079,1.517105485526301,1.7395376073264515,1.5734657434612962,1.5404507147723774,1.5629873277654616,1.5842807238468455,1.6115999798937761,1.5423027471713788,1.672368002510874,1.7220685037555923,1.67347160610771,1.7179075359392457,1.8131439030075518,1.8723465899942044,1.7471207026004147,1.7871056981049669,1.675722611360394,1.6380658599232292,1.577134925774419,1.5380509601408188,1.6051981836599398,1.5074445000897834,1.4764000887957802,1.541186836508956,1.535077328307293,1.4625819442909607,1.527317375385534,1.6867682720909043,1.5477437120488158,1.5804410113537488,1.693049838205223,1.8557496124383712,1.7242714329877182,1.6882386756278673,1.8892863224252305,1.9333893010082182,1.8970168415176973,1.6637306088872497,1.548124186174205,1.4520008118896153,1.5249514512640376,1.5539988541872123,1.6668922546136493,1.6179070420205515,1.4619774927689344,1.1817378754068772,1.1582203590906577,0.9894709010747514,1.3329329457046097,1.3247585368605594,1.445632546175801,2.007007669359797,1.5504619050037507,1.5801093792575627,1.6436459436797957,1.1155758297331357,0.8871065909120059,1.2008592367678912,1.4456700232203543,2.3373061212882846,1.4781588786283457,1.5887064580793617],[1.1402355706000875,0.8975258316711109,1.0548836977953098,0.648224762628005,0.8946118100840529,0.7011943881898991,0.6344478207486319,0.7260190036677373,0.6189861240314498,0.5541939031604524,0.5443360001771725,0.6604029086280571,0.5915285333567656,0.552497963948544,0.5963821579427391,0.5814928127631883,0.5940080580397774,0.5815918806513997,0.6916026832663628,0.6648428486461578,0.6918513729550896,0.747711036024681,0.8525213118167949,0.9392880565604707,0.8897191969280746,0.7568225378104564,0.6926706836959434,0.6578805505995524,0.6325313957941652,0.6058344759631354,0.5844264150831656,0.6443199294782287,0.6834979791264387,0.6358856671488419,0.6063723288071662,0.5907597826020378,0.6365335680601427,0.6262129972007706,0.6246485020075969,0.6742586065659596,0.7822579552718402,0.7148911728455591,0.6522091862698219,0.8731968019962346,1.3260396625564363,2.0342804245253583,2.3153583650423877,1.3913369762922796,2.6560669837511766,2.863034514817088,1.4472350454597005,1.8898845885962898,1.001378326154367,0.8943133690619754,1.0785319273813152,0.765699696826703,0.8365488542511978,0.7558360415440835,0.8079242451966699,1.130721999615726,0.8666481429476974,0.7875972761281652,0.7259309363760366,0.7691235604510486,0.7540491311463201,0.6798167786178234,0.8063285852756192,0.6693634793290086,0.7872408057043508,0.7592421810022703,0.8511006889704948,1.0759742260098777,0.8574839906897196,0.9504327568050196,0.7243881386779577,1.083363140618894,0.652595728624479,0.6514494522632507,0.6223832114712732,0.6619083564571284,0.645788168431389,0.7401011373142365,0.8751685249686288,0.7550980823011505,0.6852360197646226,0.6697116510823163,0.6479300872636149,0.6924865677625031,0.607026874073934,0.721207649161244,0.6272949035260531,0.7611905594578324,0.6789892224521288,0.6159265387426246,0.60817251525512,0.6582875690414489,0.7017928483481223,0.6592857468034758,0.69830066407955,0.8798719501314336,0.7714189297166322,0.9717651485289864,0.787120979334752,0.9368518736374939,0.9251259341873944,0.9340368655525645,1.1246800046263938,1.0329739310838342,1.0384405406573358,1.02241159295827,0.9620257051426877,0.7997386147641679,0.6657940741167379,0.5960802370362865,0.5452865407599332,0.634320887886653,0.6929637723519771,1.3529460698366134,0.8499920046945106,0.6019449216847396,0.6430676364708398,0.5946694315122434,0.7186617343720296,0.5530368471615632,0.5496169368630377,0.6164088689561776,0.7762552131268572,0.7651848075074007,0.8107926853961294,0.8539129267652498,0.8746909907594996,1.006467477498364,0.9374275893007883,0.8868367627879767,0.8041632356893514,0.797311114291653,0.9518549132232961,0.7079977611077061,1.0857941671342375,0.7868735877963737,0.8505359094891437,0.9809775759489173,0.9043623802516244,0.7703552469338455,0.6935499080607203,0.6162823872040144,0.6152266618918633,0.5879682707031415,0.6398770898423134,0.7202847721525729,0.880760458029508,0.8205751399511112,1.034282275978166,1.1499300685798735,1.0000342711784305,0.8634630566459751,0.7498642239812761,0.8590027633256995,0.7050802344455199,0.7676755045131184,0.6799405985839087,0.6250373480609472,0.6531392783990361,0.6227201878901432,0.7288220610052005,0.8390444884952695,0.7565157932881669,0.9393744416243847,0.9998481578595212,0.8829082400714255,0.7747501317594975,0.7048309921948843,0.6681972509983839,0.6778711474205811,0.6718734215928468,0.7767444130670692,0.751282014882613,0.8964802399963716,0.7346125757527734,0.832101119186065,0.722431693716504,0.7945322850939481,0.839172790764249,0.8998749239809355,0.9111736113996296,0.8574402720225381,0.7965737981284544,1.0538388958846947,1.43852974368212,1.3024274752188667,1.5246694121353688,1.3216953343324163,1.324930168283623,1.2711667900707342,1.136142359452569,1.2578488491271589,1.1459589175331892,1.0712461922202436,1.0938107058582538,1.26105989758209,1.113239563877129,1.217149812185959,1.1655443121023032,1.1280734324730197,1.2121492630289843,1.2855279734876166,1.2482724952519253,1.2112997652952826,1.39370041156399,1.401533189200753,1.3299543510759968,1.4553601062461474,1.6031136020709118,1.4352828257333328,1.5122542959349452,1.3984399209586804,1.5057845311047258,1.292047998573994,1.2797038230082762,1.3327766827042795,1.3894739431234986,1.6881191805176536,1.4625156808511266,1.524267557727554,1.2908258838487656,1.249986066136071,1.319518132688915,1.268109086810394,1.31855760792637,1.1784686441617278,1.2156569359999512,1.3046775682801897,1.3569135640934638,1.217949189272185,1.2460112901754237,1.5361409626300533,1.301310492221328,1.2734030181417846,1.10872629940998,1.1307062529160687,1.1268424749633545,1.2202829223772362,1.3270779000521982,1.534562332801578,1.4317365398330641,1.3763349851648368,1.3787052126789965,1.4429210472258076,1.5001861147071827,1.3942820367336084,1.5312379568441956,1.6237584608412012,1.564457659705572,1.5466350348184563,1.6667982749671566,1.7879326620556684,1.5836195045752606,1.5794283127910491,1.4517380267095545,1.4007294120281575,1.3533620842112453,1.2725801432535966,1.3566654763031303,1.2678909259998064,1.204330416883986,1.2479089359688254,1.2527524858882275,1.1583594735890461,1.2199672303089342,1.3859188463658603,1.2352434526792915,1.3164258838089282,1.387322249563011,1.5674184147804797,1.433341057494717,1.3881499994145652,1.6363255881227985,1.650045272433199,1.578233901546615,1.3372046439005054,1.2597626757914053,1.2948651220609064,1.279164894319564,1.3069087532171706,1.4232332568357726,1.3613086649844215,1.1923586360740288,1.0344441253116827,1.0243393067934738,0.8705643060003543,1.22901671056941,1.2913886378861632,1.4245483203219258,2.0202061253334054,1.5557950843997768,1.584294276024724,1.6588728490218498,1.095008264598273,0.7743165381574254,1.1256163333811304,1.2516300630862573,2.175300281854357,1.2522958979473964,1.4116874608825256],[1.2640937216487669,0.8343559709850574,0.9970566948284865,0.5098422024371324,0.798041843054806,0.564335328599029,0.4774634657436709,0.5863204846283401,0.4945172555170639,0.3935686013348723,0.4013377629738327,0.5371650181700747,0.42652657598789606,0.4043783558543413,0.471195810486576,0.42380889364569546,0.44005719823942974,0.44535367705483114,0.6305935436845157,0.5482641186301007,0.6202535150168887,0.6704967601951235,0.823515952623238,0.9343954896529357,0.8531835198974289,0.7060842956164994,0.5717802881467058,0.5248823977928455,0.4784878172487019,0.4234559736987078,0.4207383060453738,0.4582366519902251,0.5057414301891561,0.44754757295512104,0.41549607019469237,0.40288186762503386,0.43443627459023576,0.4601731714876013,0.4663919984995276,0.5258220347936844,0.6354718472041199,0.5826400277796877,0.5295852374433082,0.8168458527864279,1.3120593254439104,1.9979416425029652,2.3491818363006143,1.3240734829173009,2.5257724839540634,2.798653070255508,1.3666935950236272,1.8261944497153921,0.9086505314522201,0.7974593217344285,0.9667212354221568,0.6337023731588435,0.7254213598669984,0.6500551277153249,0.7057057683256364,1.0760296357924888,0.7551584903333576,0.6720023751424801,0.5876119756028496,0.6915596401073127,0.6551195115044715,0.5734810935514442,0.7286418014277322,0.5549464642078747,0.7151906621585697,0.6883023731079772,0.7755654566826873,1.0091760604410647,0.8003830227731552,0.9176643930239374,0.6211696431776725,1.0158046254835444,0.5160609168268951,0.47815896132440766,0.44358156472402044,0.4900527034036665,0.454647896946933,0.5695341567810042,0.748444997474839,0.5712546161806316,0.5137707381683744,0.4773521074977642,0.47008460335297486,0.5141184682326739,0.4288331569526114,0.5442931723313505,0.46015583090184925,0.6609166310125654,0.5541613448622199,0.45920842694829084,0.44828131914059294,0.5346812629678768,0.5784343438929214,0.5039324395240229,0.547268121138841,0.7442959721342799,0.6045642202354213,0.8501330631398507,0.6192970492941259,0.8047493119155513,0.7803011009808477,0.8011944708656906,1.006231209253149,0.9423079888979343,0.9513560881797947,0.9160398463987935,0.8538955639737984,0.6461659479617239,0.4972203608295778,0.4140307934127099,0.35378569396854476,0.4752871069407025,0.5727827722803477,1.3438674575975469,0.841235449526268,0.5212165525275426,0.5760642195715432,0.49958446465446943,0.6353409620057174,0.38061135153389214,0.3631892430046825,0.4360736863620443,0.6605594184859088,0.6279299682213622,0.7011271176437267,0.7516826506633562,0.773437988625289,0.9326547883183693,0.8722321060204306,0.780424217375017,0.6996333995173667,0.7207561361612789,0.8946206286666283,0.5820089274128032,0.912548311673215,0.657396517530934,0.7393072874389789,0.894881592467498,0.8092068857521644,0.6471226719092643,0.5619400638805885,0.4529265047590545,0.44236350277636044,0.4053681689496004,0.45867263133142216,0.5533699848298934,0.7611903885787854,0.6979931280061014,0.9395094058377353,1.0823604853657172,0.9048397157507159,0.7325924388369542,0.5992671970707083,0.7227231443444133,0.5369859046597288,0.6149388530873833,0.48747000711896155,0.42443832658199393,0.4844550603724436,0.44336420000215093,0.6133781714844918,0.7352171981340159,0.671105588603122,0.9141617085421269,0.9645746566285573,0.8160663890764384,0.6756941497819692,0.5575072283409896,0.5171706755973137,0.503290748658482,0.4934059531424625,0.6048913452769156,0.5749689993494015,0.7653393268934219,0.5623192039647933,0.6561235637298378,0.552100024382486,0.6530207160411462,0.7230266289460625,0.8030500614112419,0.8132338952892553,0.7493650644060551,0.6929281218628676,1.0175391840499104,1.4307359596154468,1.274746376865832,1.5727166021245558,1.3140262188314207,1.3343801733712983,1.256671535466831,1.1211245823260876,1.2740421703381066,1.1118671973791094,1.014525316963883,1.045804816817829,1.2098258267280566,1.0495607436599728,1.1444624796268095,1.1107132569265126,1.0756838393376935,1.1413191675287797,1.2210681686016231,1.1965773818897856,1.1619452838000208,1.322451969859901,1.3628772970331007,1.298228672507744,1.413388146128264,1.5633903085703873,1.4194841295355942,1.5226393836452863,1.4346467468647306,1.5074272514090334,1.294231852110596,1.2430823754376925,1.2987383912382724,1.3777176619607268,1.7459692450126876,1.4558326657305543,1.4390312381773323,1.2362423394039017,1.1847475159325642,1.2660141511420737,1.2330471481143532,1.3118038572260562,1.151082903647271,1.1794587601950686,1.3475275283930415,1.3827159517186032,1.2220194968417053,1.2561401621181325,1.5691559517118552,1.306403578398404,1.281436320350489,1.0799703263102494,1.0642803683466138,1.0526916112714202,1.1376029180852107,1.2327877167028936,1.420143806006134,1.326833063307429,1.2837990704212179,1.2702884620442665,1.3355207794135542,1.4058745413177671,1.30457949150075,1.4308693201972416,1.5250845011187635,1.4716813255206096,1.4497390829589452,1.5651231329649022,1.721655907526448,1.4962291331247897,1.491817204242036,1.3711513961731205,1.314830978752971,1.266394423108027,1.1877898544595507,1.301396712033901,1.2057098564613091,1.140137687519218,1.2038553737982425,1.2117648328404391,1.1216989986006032,1.2143439278592245,1.4121119507805242,1.2275047454299186,1.3157450181860733,1.4186785568431761,1.6164577056178984,1.4597358536958416,1.380477842986191,1.6794291950103106,1.6396393275459318,1.5433803922327758,1.2722615341033126,1.2114485697132469,1.2915483306018543,1.2253148114943886,1.2369937609289272,1.358405188645085,1.273004176459642,1.135317924870976,0.9829689862717942,0.9880570223053026,0.785525106387169,1.175491748880843,1.221843565640441,1.3209780396399688,1.9357159494304335,1.4851113647794054,1.4775302314843226,1.5765684064530159,1.0355302747526298,0.6735481994408758,1.0747388812600605,1.0917212161536758,2.0570816112184187,1.1702012265787118,1.317028644572956],[1.6084453267654015,1.0264389382785304,1.1825545313894852,0.5722166460906571,0.8870544764048269,0.6505094247098836,0.5400536753530278,0.6543956504503884,0.5186922426118125,0.3941033484334705,0.4076096117181188,0.5511575409041731,0.43026404164698373,0.39664035263518943,0.4697998908528858,0.4208339811136136,0.4763237536606744,0.5161362192671001,0.7366037170888196,0.6044220408142151,0.7243478076959221,0.7287436868877785,0.9414419821573281,1.0511383158175043,0.9502834404240574,0.8106567246250229,0.6210003614438694,0.5859909282977287,0.5012057437581202,0.43193295433192486,0.442058555455762,0.4465968326966967,0.4838375006545891,0.4356783363982084,0.4288022479439826,0.42305990889066086,0.44692823836537227,0.473013731266194,0.5044327189541213,0.5690236288016465,0.6625879231956605,0.6327607493391726,0.5793201929251849,0.8740688645371959,1.382605664060759,2.0705548269615885,2.458757779702516,1.3966181522328265,2.51993095023851,2.8589329220008777,1.440587433790892,1.8477421784890287,0.9400751430320446,0.8076541734594868,0.9553409787993818,0.6784562818021734,0.801377362928678,0.6858682542022292,0.7253150583063891,1.18333717247229,0.8270814408481304,0.7320613800436088,0.6323805145447745,0.7619185891221814,0.7338874292610205,0.6404639320436977,0.8050647132442985,0.6169445912035585,0.7805537149574578,0.7636794191302102,0.856380162470611,1.0730829673963502,0.8708152025726043,0.9891164332249932,0.6560267766969922,1.022990546158224,0.5590290011555366,0.48244201143987436,0.46659248283252985,0.5168130141747588,0.48894890276671565,0.5679457434266194,0.7498641361923314,0.5994266697600574,0.5566422421593406,0.489539221459177,0.47963798975128275,0.5386904782198623,0.44590458807682476,0.5299065927532447,0.4701274860995674,0.654117490258932,0.5798813990029471,0.43735483696860394,0.42019271140179604,0.5118493387554143,0.5490770345273894,0.49353143234401575,0.5556627348194578,0.7569908806316453,0.6113905292188372,0.8948922001721169,0.657709494336293,0.8613558833908541,0.8489287415760625,0.8785930685953589,1.086065089500378,1.0766562986331318,1.089956534389415,1.024750351510615,0.9508306525604526,0.7179891578297473,0.5521379728310427,0.4434530455011785,0.38732388383682304,0.5021284154266001,0.627750121225246,1.4174999218522306,0.977221209120783,0.618875589190966,0.6786226508153437,0.5825548375726955,0.7057839786957473,0.4170272407400804,0.36689683005447027,0.443293536251843,0.7483085582306948,0.7032903690335832,0.8088952847417655,0.8668291045277992,0.9005755861790649,1.0689564743251638,1.0101430537483085,0.903942596101129,0.801070061071484,0.8076703213167333,0.9816014380205919,0.6407070866986873,0.8599775521229589,0.682945529095016,0.78485169126904,0.9237604482419076,0.878749307857186,0.6995645023610891,0.6043516406050375,0.4737746294721004,0.4610841743280163,0.4274593563114876,0.4965835894042039,0.5728986248076493,0.8285277298769987,0.7536762786777472,1.0010232126493728,1.1282859086649177,0.9210015570867243,0.7772007390325435,0.630994805928754,0.7645466047551794,0.568470081347974,0.6842247891993796,0.5079014473320596,0.44877428789757207,0.5047444260411204,0.484318750323359,0.6632779450648435,0.7999454532705591,0.7249671200985598,0.9701323750944875,1.0148816919866996,0.8365709139259375,0.712431422800032,0.6001358415804952,0.551092690969403,0.5471680439046837,0.5354724494821141,0.6450999681348256,0.5967122492803943,0.7997457082700177,0.6059506823226565,0.6895842835329444,0.6070917979984112,0.7293093868788258,0.8123586630213033,0.8797349881591571,0.8748392566434604,0.7920343064196184,0.7393632602905781,1.0902553525683192,1.4757735225671353,1.3441999051212694,1.6985778870187576,1.3846250346337035,1.4283024897793735,1.3502217586486378,1.2495308538264127,1.442274719962159,1.2398227594891704,1.180644305802421,1.227406326736407,1.3419316438084876,1.2438554434616251,1.281743880433337,1.2472398325811036,1.2702458919574184,1.3196836004166006,1.33059570839151,1.3363365096674935,1.3709162609220455,1.4502371375310827,1.4630797179421704,1.4721317691320335,1.5711423735173522,1.6337923187747858,1.5529064391116307,1.7288663904311279,1.7089580766394865,1.7322953244829236,1.616859493736267,1.5007126216077127,1.5628605605459736,1.6469091125434328,2.0485633236786,1.7468723955259569,1.6515200047561647,1.5005176278645207,1.4460930165110735,1.5004525729422389,1.5184574225206149,1.6304593607151248,1.4344373462326563,1.440247621779314,1.6777841878060942,1.686473693676377,1.48326354647545,1.5124129229706922,1.8493781983021633,1.5713940226802336,1.5018613127676192,1.3110597774253525,1.2425993111317675,1.2352966402046492,1.3143710300613174,1.3589744699631214,1.511509732912284,1.3786099673324752,1.3647633377677995,1.3743652597641067,1.3891138258717142,1.4381590156199775,1.3880443335387407,1.4788929319655386,1.5294247714118938,1.50791630515005,1.5313294833308906,1.6007733919455442,1.7629352909921805,1.5848432635845675,1.6091259978343262,1.5278912472935102,1.4859197748634003,1.4225998729973408,1.4005661146657686,1.542031019053088,1.4206245077748594,1.382052183150449,1.4818293248319863,1.4839493537601993,1.393521997906866,1.53435620386247,1.7127778124100677,1.5246783979329257,1.5988386851973397,1.7216095288832127,1.9052781676545811,1.7276733050632818,1.6066889305075207,1.9453269419416126,1.848571300793304,1.8053269088811208,1.5157405262203922,1.444662614335268,1.4854321967134185,1.425203638697756,1.3827561541024818,1.5177608815805645,1.3920158119768506,1.3214716036553642,1.1515352781596835,1.1809606158152997,0.926736972888507,1.2401248990195468,1.318357032465318,1.3923171217084607,1.8736046863080336,1.5242961855508401,1.4831016035754627,1.5631045713252145,1.1045300150469668,0.8069858516805396,1.229658764870748,1.0838045719807938,2.029796483055024,1.2371588778932507,1.3791428558557042],[1.608395638337449,1.0366220412251845,1.1983271221221505,0.555401474337638,0.8797768974080067,0.6694681887962418,0.5641468277600953,0.6567664953413807,0.5603754422717939,0.4650756197665089,0.48438814778834316,0.5743161822532982,0.49402142802623544,0.49460229357929164,0.5651218600614033,0.4987312401454865,0.5582348910206932,0.6030148131571591,0.8307825645789739,0.6641402570331035,0.7752230940058373,0.7696814032464413,0.9607617587290541,1.0489920906917185,0.9603448300276263,0.8498574357240835,0.6734728606305012,0.6563816646967344,0.5811026030513972,0.49581026615009705,0.5455434393727278,0.4911156306214058,0.5330242294680914,0.501499049040117,0.4820007355428384,0.4883262353298585,0.4917617417312425,0.5294615055981451,0.5412981753040985,0.569638296674807,0.682596539218372,0.6848083488293155,0.6113730855881715,0.908361552310025,1.3970170896283722,2.1082920098123674,2.485783266326847,1.4270420703651023,2.5633383168571404,2.88482365980013,1.4537426045749986,1.8544361090178696,0.9346501815474176,0.797918700009545,0.9590669715778195,0.6961428543539926,0.8332629076933182,0.710115155955224,0.7479199429675354,1.2029932824565144,0.85972993383644,0.7603374264339966,0.676610480863286,0.7921780099194595,0.777028144792203,0.6673724956388343,0.8385285755201449,0.6985886987063474,0.8620097717435232,0.8536709587581577,0.9228002683926713,1.1546918752287914,0.9593264906176823,1.0629034458424316,0.730336314660952,1.0564715908973437,0.6472180114511086,0.5562964641734438,0.5297229963396609,0.5528145782747227,0.5209745314376676,0.5851359934347142,0.7383420222432883,0.5865614713893847,0.5415317632059221,0.508263582679923,0.5161863258842166,0.5657958431884408,0.504780414076956,0.5888016563917198,0.547021092434607,0.7073988034681513,0.6566258899021872,0.511263445442763,0.4899190844939971,0.5735963751008467,0.6273322738700076,0.5369883417200452,0.5814973084726287,0.7440238816072107,0.6133846206496312,0.8629527932361996,0.6346071638717145,0.8254338284559909,0.8122551525204059,0.8504211019483644,1.0374735650878726,1.0316211035680727,1.0444197029793614,0.9896567891150594,0.9230861862025671,0.6982549181095254,0.559806962669967,0.4740471228832921,0.45613510344810704,0.5676578913478733,0.6848713170660633,1.5177774931536272,1.0404337938576707,0.6847339509994294,0.7601112889707005,0.6704647165116876,0.7994202826134078,0.5029941030939451,0.4321725721917442,0.47173123072777073,0.7510262160614232,0.692917021801444,0.7805015928817545,0.8369525671753472,0.8626100071311256,1.024754613376797,0.957745413303428,0.8638687040307892,0.762519662903572,0.7978089193575909,0.9644610356526236,0.637584581906996,0.8911688610112345,0.7187579878430764,0.8479899715730239,0.958076025235857,0.946100686535519,0.7730137976389606,0.6520331571095671,0.5227558482358083,0.5074566322648018,0.46823167713629416,0.5066873615898253,0.5794246101596978,0.8080388909492919,0.7389469626718534,0.9623508932104478,1.107081697571798,0.898856913435504,0.7567271246221701,0.6269632333690797,0.7419125788961397,0.5692492247780088,0.6692925599367505,0.4961331371290117,0.46625632468979894,0.5362982570735624,0.5004803424914871,0.6663505217245681,0.8040081306633261,0.6948625630544794,0.9399511557272447,0.97873085652362,0.818166667481769,0.6769763383463439,0.5876574601445084,0.5335115182366805,0.525509032935421,0.5224758294175555,0.618203810691226,0.588840716110428,0.7588318972569122,0.6002812275292055,0.657718763162121,0.5691038336454165,0.6891914398674855,0.7521637881895373,0.8240537099540053,0.8248059572703127,0.7613484397983054,0.7239739407589512,1.0850616336107521,1.4702070016726416,1.3175310195945424,1.6612739258397478,1.3624914170400362,1.3911828571984497,1.3165652325524724,1.1975604599357534,1.3669576732509459,1.1986376124266278,1.1232675048250267,1.1713222008061377,1.3236420140877165,1.1877670155295854,1.2531398956804065,1.2311314498291377,1.2239223475858412,1.2764440165219055,1.3257438784702409,1.3426805619032447,1.3260488748658399,1.4071847058618825,1.4649275651902285,1.4528304481199517,1.5199312869980792,1.6101787406865573,1.5535020864612599,1.7103729445334424,1.6961354197098937,1.5940901554763875,1.479994138381263,1.402247600443943,1.4485951689577174,1.5232295953762358,1.9130951580974993,1.6041229983224994,1.519585717479917,1.3257610867235528,1.2937284563362537,1.3950809650586922,1.3676620634735837,1.4466782924093762,1.3052157796221997,1.3502947517582213,1.5420493311379522,1.5550756374097947,1.397007563135679,1.3930280402396664,1.6623547485165273,1.4377346707230136,1.395549247148315,1.2374326421337987,1.1857642547037628,1.1758251821285841,1.2706899434304602,1.3322139844251888,1.4248276147317582,1.3615307735370141,1.3304295474681083,1.320927180979561,1.361036795610681,1.4206292834586627,1.359311121666454,1.4333921475116431,1.494493283571514,1.4815789583513033,1.4609538312037935,1.5259832183859623,1.7079203851078735,1.5030895884624906,1.4951487697628754,1.4302056866164208,1.3845485931931025,1.3594277403382142,1.2996294413577614,1.4124530543516085,1.3445617601098445,1.288225537470678,1.3531868477361335,1.3696452448520413,1.28351270723054,1.3897796320928266,1.5709065107081812,1.3835649944400918,1.4262951244475846,1.5384874468137577,1.7040655261173518,1.564662673346169,1.4629191592676756,1.7901908974966387,1.704280096833087,1.618574841821224,1.434142943852654,1.3848168654328263,1.5011743009246694,1.4331523473433676,1.337971146734728,1.4223654928342515,1.2715162569023788,1.2384174752915968,1.1271277608261094,1.155665000873723,0.9050179323094955,1.236342915023071,1.2865745838355032,1.3309873744623686,1.8210039871478083,1.4718742888533232,1.3947721441541312,1.4775537825262386,1.1118994607297987,0.8100572747730415,1.2003650337165357,0.9913754942234374,1.9768223593546914,1.2715953199475432,1.489843810644489],[1.6372882525765475,1.05633988220613,1.185669584453222,0.5125765235174439,0.8426844957416703,0.6437849212022347,0.5015328369061242,0.5788310732786804,0.49574473031210725,0.3534079570694201,0.3715395460009281,0.5007814420759438,0.4056561297385844,0.4157460566058376,0.5472090148278479,0.43628422038339054,0.5146252576141874,0.5910855549476237,0.8358992765652056,0.7015149606664869,0.8443594873514421,0.8435021143669075,1.0557147419829176,1.1489875762901298,1.0320373646818515,0.9127674020398785,0.7079019329344161,0.666904835286222,0.5665760356656236,0.4203718120629993,0.48659758827611993,0.3866461276281119,0.438518620001457,0.433717859766992,0.41077533633875163,0.4561778723388264,0.4156126642199006,0.5119782458978525,0.540608902666507,0.5624959920395394,0.7044570382715917,0.738053540669956,0.6717747956473741,0.9889508726703574,1.4549108036464637,2.096344959886135,2.5241906452473923,1.4806948772513808,2.5206321952355406,2.871161255778318,1.4860563130096183,1.8406906727502774,0.9553917471025742,0.8537201436603127,0.992938948452413,0.7438092695321515,0.8850307256426281,0.7526695055276719,0.7821323545050025,1.2864503712803659,0.9289119062456811,0.8329081262849943,0.712071866642506,0.8829819833434358,0.8387634758982149,0.7323257478398912,0.9068780377072811,0.7193580558104948,0.8672866874425395,0.8549319465985564,0.931957525475928,1.1666340745726969,0.9422596384681616,1.0763622611740564,0.7637336710972343,1.1380395571325799,0.6774131812176025,0.5771191228185458,0.5238774878267649,0.5888251253887873,0.44029022087869774,0.5434746051560282,0.6883365205239363,0.5239758880024995,0.4666562049980443,0.44949803737857136,0.5150581102322707,0.4896929822930647,0.4977701501745524,0.5553781047739801,0.5273044640705172,0.7396287243468892,0.6508796331829734,0.49301043774734266,0.4654361754547325,0.573005400321929,0.6104946267375014,0.4430264109036061,0.46425102597116513,0.6100766892766997,0.496882365171186,0.7690284433382073,0.536733069541039,0.7554563180021949,0.749647282124946,0.8034985805564441,0.9828774438646604,1.0387703239442159,1.0270879932051535,0.9527182599466937,0.8822354269580518,0.6474059662531851,0.4909928070879208,0.3842763344872089,0.34584766032254977,0.5155934349177087,0.6703420926336394,1.5093773884284107,1.101058807550164,0.7002998629108513,0.762224510775681,0.6268921633671712,0.7546047425972243,0.37338201781372665,0.30402803709657605,0.38149843142086654,0.7631278491189811,0.6535948571103048,0.7826383167620302,0.8419722174218381,0.8887047969770807,1.0370874550813935,0.9785247246238318,0.8597328970589304,0.7777630222618603,0.8329738585229368,0.9675498111374575,0.6694801083224927,0.7804584132658086,0.7327942771892955,0.87281925999191,0.9708459246189715,0.9580325980273094,0.762253126508839,0.6504199565174579,0.4942434880817435,0.4577058439272017,0.3770093203357754,0.42030899844998837,0.5059781054514131,0.7440824307798372,0.6498609399165386,0.8741835138955051,1.0480818516519028,0.8606455828917617,0.6431292039657496,0.5048193188331888,0.6503637280131523,0.46489610251479885,0.594990734244581,0.43761692115706624,0.4066508301915118,0.49312726009749563,0.4539507081385331,0.6561579506896558,0.7673611172053065,0.6966783251672749,0.9717141270502214,0.9837899817479342,0.8053459614932856,0.6619468359229138,0.5488280209050924,0.49318330416160033,0.45909663082249874,0.4550961204595204,0.5454986067919536,0.52493278885587,0.6811630212454065,0.5326531563620733,0.5722646887142323,0.4957304791888414,0.6300899370774219,0.7034776453305778,0.785859448531969,0.7756880183280981,0.7320033593277624,0.7293669499194142,1.0538520751474003,1.4727472298187372,1.2972637657177053,1.7363288962803136,1.4202831448307678,1.4719774009213935,1.3799708604736651,1.2617739606700615,1.4404886112767201,1.238330165414278,1.1787195828999213,1.212664420902342,1.303637822778841,1.1863719223857137,1.2087474437755472,1.196205337855091,1.2145063376360408,1.2484316059594318,1.2716190701312502,1.3088393871768167,1.307903866580663,1.3522291236701018,1.414139450157797,1.4223076919586073,1.4846939145160873,1.55903604204546,1.5238233621243467,1.7102310750702314,1.7217927617723132,1.6032177551945341,1.5815538617889855,1.4540744181366665,1.4988227516562447,1.5992373341527502,2.0604711445463098,1.7603451813389392,1.5674214160519668,1.4286771417936848,1.3803623685953688,1.4089481213534285,1.4595706751847055,1.5870911932487566,1.384077762413401,1.4239023929454446,1.6949919129204294,1.6936595654607776,1.494559428200191,1.5089100857257034,1.8709767031933697,1.6127729794639851,1.4918282164523584,1.3164101037908262,1.207148112655875,1.1979707298998012,1.2569416348615905,1.3021329668524548,1.3635722809866178,1.2976247136127854,1.268349706157282,1.2643178613746116,1.2792319331749644,1.3501213504693745,1.2864124951248284,1.3488049733726133,1.4086739931188175,1.4059834863260405,1.391543815338019,1.4491467572092633,1.6459021166047214,1.44650180511744,1.4469798407093257,1.3987244545987925,1.357795050605643,1.319361406777377,1.3034463091222577,1.4431066003943647,1.3429917582375286,1.3144543879228414,1.4440350006596268,1.4535381685948734,1.3532027830014535,1.5351173715334265,1.7674676697954983,1.5103773777637972,1.5434626202223904,1.731606067446256,1.8794338192961977,1.7306087523988753,1.5705113522324452,2.035614106239325,1.8693078616778493,1.7548238260529057,1.5270068184428398,1.4168834009859415,1.4893617300420663,1.4822986243877931,1.3449325878874316,1.4710196055958973,1.274449912693669,1.2533614105709694,1.122196328782119,1.199981137762054,0.9048240624133143,1.172870837765236,1.2326276967336478,1.2660700479415874,1.7768046746860517,1.419225901131674,1.337561083013091,1.4432825666081242,1.1262660972947922,0.7569631753280476,1.1154717153838294,0.9015814933238985,1.8288753278978178,1.2133554041686818,1.442958986037301],[1.6580365963450607,1.0582540723765197,1.167511121030441,0.45661076466426637,0.7806344649730141,0.6515061714634995,0.5164627225228192,0.5778103737164451,0.5097316220631366,0.3702321603963649,0.385972648007954,0.5042148807924054,0.4220362503262859,0.4526916851539011,0.5948654929843307,0.48158279358066547,0.564984893750131,0.6545029091102209,0.9010268382399398,0.7698356398017099,0.923491309212658,0.919771985380383,1.1408028397775296,1.240802278386806,1.1079611678864092,0.9875921402407273,0.7655325391194635,0.7336425958130355,0.6255848649025468,0.46592762476470545,0.538204804098686,0.4182734598581462,0.4683801589080462,0.47929330131327924,0.4680272096626565,0.5149601067307475,0.4693184358932825,0.5688382200969061,0.5893163740588068,0.6005235761408466,0.7510635096087185,0.7920926804146137,0.7304249710991373,1.0273871443451708,1.5208877801679808,2.1625299251125925,2.625877418860529,1.5535211992220395,2.517246385487873,2.9130853512397668,1.5547060100751002,1.881254619272932,1.0002199615754759,0.9019967732456284,1.0508825638903119,0.8027886223430665,0.9309659814081763,0.8162614650451527,0.8364239635543381,1.3200530049678083,0.9713732759171663,0.8978675276523829,0.7749108087564283,0.9599459308137409,0.9104059025697049,0.7985338915106092,0.968504852640903,0.7846275016557004,0.9256978696464299,0.916369370204456,0.9888095345716696,1.2147615029442178,0.9939166566377244,1.116462884971298,0.8239608614148911,1.1494652543659085,0.7391510824551946,0.6403993225217899,0.5981957742965736,0.6538969016970246,0.49286216624268736,0.5852400136891036,0.6923798222365447,0.5311778917553842,0.48907954772576373,0.4857223169261004,0.5670484251473766,0.5243367696368442,0.5646281383895967,0.617204458202492,0.580382860202255,0.7634471328354682,0.6945732833747649,0.5325186321629377,0.5099149801297803,0.6120695760535014,0.6713595604340535,0.4636174369630693,0.4597854401334026,0.5842474771352844,0.4880873053001452,0.7396069109294969,0.5244094704444447,0.7315312706865679,0.7265433867719663,0.7878703782241582,0.9537851571225666,1.0469191838862433,1.025570319879684,0.9247136156904215,0.8592259897615894,0.6319265964165527,0.48999089906165105,0.3807242636559865,0.37175887984685063,0.5611567473484419,0.7370853986898045,1.6040020425665822,1.1791115328131894,0.7735267968548676,0.8353102630102858,0.6916969191474908,0.8154165999545457,0.4064409812908678,0.29876939559720556,0.37613359069148894,0.7986151623822211,0.6464435931507756,0.7939235352704646,0.8506374153825899,0.9155214775137465,1.0476766235754529,0.9867471583674847,0.868714931171897,0.7879022303706604,0.8643534064095613,0.956220294823389,0.6972059868886095,0.7181466743957575,0.7649179457064353,0.9932952857616336,0.9777716316595243,1.0074913704810444,0.8315581090831775,0.7037344636666967,0.5402946984481034,0.49780969746203796,0.38694428916770607,0.4083045005863797,0.4896511739202373,0.7207367531346648,0.6403984967887191,0.8590051645299177,1.0467999256189355,0.8557805581505933,0.6276315352346546,0.49014110738118105,0.6145087534834095,0.4619303726785338,0.5713403293005839,0.43139822091513275,0.4282159633500957,0.526970305192849,0.4908102039953778,0.6957837652147411,0.7875361900824223,0.7230081645542844,0.9886878944378356,1.003296475983713,0.8147323944566586,0.6855911649915821,0.5678418198114578,0.5220838565364424,0.47367599321351767,0.45973426940622025,0.5359105149621551,0.5222905503968065,0.6549734552394105,0.5328391345545471,0.5632019290213837,0.5067990751249677,0.629474130208027,0.7084564208326964,0.8037885707063663,0.7792065401337439,0.735502455535077,0.7507817304477478,1.040060730377333,1.440600537435875,1.278529450353568,1.73445698238064,1.4101602274223972,1.4728348952208405,1.3848649041796857,1.2864598729082863,1.4840557204916964,1.2788081693396685,1.2281947711596044,1.2530106821971339,1.306460682400159,1.2078503435026116,1.2026323104446728,1.1985439601842531,1.2186625067594186,1.2320488728906387,1.228567913791796,1.2740093684918188,1.27974873602393,1.271872460870071,1.329869937446308,1.3558277814345578,1.3893224232400763,1.4400663807687293,1.4402302739543076,1.621387168121266,1.669614485907787,1.5183287957598108,1.575888020888243,1.433826229815843,1.4699454200941409,1.607383011648098,2.0945158427830024,1.822407093807201,1.547766121241203,1.4444341126816522,1.3958957904848293,1.4094942799345083,1.4831924727917831,1.6028310305272417,1.4185293472436096,1.4378645541348076,1.7353208035794594,1.7187924369160026,1.5276474116909817,1.577314727242681,1.9305303393131672,1.6855670194161503,1.5720667997272575,1.3706994532012808,1.23112415291308,1.2318318805596884,1.2662679209974275,1.317583523878959,1.3271992669538741,1.2823831387500289,1.2640460289280997,1.2297557669969157,1.2348674093925798,1.3114825054765455,1.226612706787928,1.260129598645981,1.3196038896829017,1.317595399993901,1.2873787792400855,1.3350300152093881,1.5545513844233014,1.321230064432638,1.3134238053014302,1.2948377996383786,1.2873736024653044,1.2752660789533732,1.2729950077901213,1.408306863146879,1.3064084091006611,1.3166179182246993,1.458616457148508,1.466111414625014,1.3855529310941153,1.5949322080790542,1.8181049990077036,1.5661585296494052,1.6209270424998068,1.8147707141137033,1.9488280914208973,1.8173355244223222,1.620730511439468,2.1523709761916967,1.9540823379106964,1.7700071916426046,1.5599565856418949,1.408228436914537,1.456795065761493,1.5226681840316931,1.3583725057723248,1.5016517610429874,1.2447989940240518,1.279521119797143,1.142526069606494,1.256224670833542,0.9194761435536187,1.1317364051455294,1.173240785490098,1.1689866005969143,1.6160676743183808,1.3203845697254128,1.1976611150563723,1.3155699355788926,1.109972333440688,0.834430251961493,1.158740781429166,0.8772843486266527,1.7630508301745509,1.2787203118961246,1.5608860479059727],[1.2569332276338552,0.9052766159099669,1.1371713658122078,0.534293380500172,0.8363762468279691,0.7118130415523211,0.5629391134109777,0.5863103654616131,0.5593717997133822,0.3770713893792212,0.3679409461471956,0.4988744592906026,0.40300960866105856,0.4433804166899039,0.6186209091112498,0.49680553379192116,0.5522370664328022,0.6278186404959278,0.8476692065093063,0.7240511503851269,0.8636174182420814,0.8732972705861051,1.069933724313577,1.1489710632736483,1.0274760651597823,0.9111414556742444,0.7088381933998401,0.6619876462426854,0.5749534858656328,0.4459652114596146,0.5613614278844677,0.4328489524840818,0.4920317330676984,0.5176387504610633,0.47946587458987977,0.5136136620106132,0.4644923655091125,0.5597417483640766,0.5598730411694862,0.5765285552435395,0.7022832684218416,0.7473527908486697,0.6941239958421342,0.9880715877423512,1.4105472924931484,1.9959796836162174,2.445656486072028,1.4273143151251864,2.436238751575199,2.7550616054347374,1.4634225990882492,1.8096633669911821,1.0229229639121376,0.9793590111834685,1.0506996307682712,0.7621380168184451,0.8586098325778464,0.7883050398965731,0.8027980797620576,1.2415199868480618,0.8972788836590442,0.8543855963141731,0.7400676490506497,0.9450841955495524,0.8690928709511069,0.750458669249942,0.9310745262148634,0.764155037859383,0.8900071558571456,0.8939448809807814,0.9601596039108298,1.2036989419641029,0.9713842896290531,1.0974075514019173,0.8206201799283873,1.219825909300541,0.7231941087953832,0.6380407923242325,0.5908926754817297,0.63968214095695,0.49601554876320614,0.5674921520462266,0.7377094616058858,0.5452286071502468,0.5020190177806013,0.47851176803400974,0.5473153337123927,0.5110654256886201,0.5562707175740051,0.6297825677576633,0.6025790736802026,0.8231871660596118,0.7345230290559188,0.585136146370859,0.5448912909504763,0.6609268835616942,0.7012621333844541,0.49027881303921134,0.481756565513182,0.5807288605948665,0.48030115837266174,0.7319434498008653,0.510365785641685,0.723138975221837,0.7431486015027855,0.8135328616617429,0.9550938307072429,1.0662000853390783,1.0488536764473553,0.9254918809949031,0.8719124871820157,0.6629385441633773,0.5444520742831468,0.47084769138838706,0.37251119238384967,0.4926139959180948,0.6456125384535245,1.4714676532789894,1.1205224290469278,0.724447901704749,0.7816485516843809,0.6301267122595229,0.732338342792927,0.36420583022976155,0.3618885154660874,0.489633000984791,0.8317645127453721,0.7234749728911763,0.847605804643305,0.9024919358138371,0.9997207596812552,1.0993133534190114,1.0542835153833683,0.9375363507767328,0.8919309907727061,0.9700646051720487,1.0577031612523176,0.7175490589050804,0.6650511453794928,0.6923617854268719,0.7505170310548474,0.9301090314863111,0.8842930771015426,0.7003076938856434,0.6277471857158347,0.48521534499106933,0.4462419188426795,0.4113332099366891,0.4519843354746438,0.512889876260839,0.7655543933308167,0.597492230266203,0.7977860168705777,1.0075989632532787,0.8905459784224303,0.5940951403913182,0.4915152831623499,0.6129410938796502,0.47417306198291753,0.591581000218395,0.48594499595398305,0.4462518368093459,0.49409757734734977,0.4762988229956286,0.6519278626166565,0.7064624690572873,0.6952819755874725,0.9470772009963115,0.9902638276907226,0.8283486435743616,0.7253217174609738,0.5513235614520142,0.5431964952312052,0.5276433426942292,0.4924440165556534,0.5640954183639317,0.5478501831532806,0.6471958743796047,0.5579791700879817,0.6099718780832558,0.5370798583850347,0.6907069401347185,0.7669615572107789,0.8697110689175863,0.8533640241569016,0.7694025969981659,0.7294033546733221,1.0413676893474224,1.4881050616782312,1.3198576980338992,1.8126109835223905,1.5436914550032528,1.5637074770928592,1.4712581838739427,1.3578624533356687,1.5332260873729537,1.3717310519265027,1.278236720290704,1.2741087824926935,1.3589659115918908,1.1726151431758975,1.191467605703193,1.200942081851109,1.1587873215408075,1.1494083552193308,1.201077162870828,1.2261558672542743,1.1706070069621246,1.189301328788626,1.2768981578202583,1.2412277156403595,1.2639705445983525,1.379917296452429,1.3583083829995166,1.4699765683306196,1.4979793477579002,1.3329186242902906,1.403111022043217,1.2711770926674073,1.28333345011288,1.4230677593182128,1.9289269832890492,1.6269307503840056,1.4162197412512614,1.2686491412235823,1.2316834984197995,1.2839095517453123,1.3413545898536146,1.4300862298719768,1.2940431155417402,1.3326885586723465,1.6244199492461864,1.6045567844962592,1.4502719814704268,1.5510879212804773,1.8410800930282043,1.6275619839509703,1.5889526564025471,1.3413356132205383,1.2231920865342394,1.2046082625485726,1.2117887669002805,1.3155800417599341,1.2854505874717244,1.334477521587001,1.27308929480787,1.1888072258346272,1.2646631603260114,1.3519589422160982,1.2053829095534894,1.2514060643056053,1.351876131910782,1.3056125184095955,1.2297894284484743,1.3012313085820402,1.521538813175951,1.2313697559075363,1.1944691366873654,1.150672517058179,1.1385661227329762,1.167439985791545,1.130008908912474,1.220121472136265,1.1699623080262402,1.1849399974097132,1.2884120347205028,1.2971129731531716,1.2644107378264893,1.4484190350432544,1.6479962566755244,1.4362684554273484,1.5265673730972633,1.686223465582372,1.8167491637320663,1.700828888021867,1.5124441622649316,2.05107736554245,1.879057043446942,1.6226777120661908,1.4201017849654345,1.2771596403821799,1.3354572664148734,1.3769951754152092,1.2747449260067538,1.4559821920465954,1.201467671899034,1.2264822372951893,1.149322164145515,1.2685960359615245,0.9519757289165299,1.1570390083713318,1.1684909543810922,1.1445802371491447,1.7675855553786375,1.326639633854792,1.1839197677944902,1.3680581929987035,1.2522435391897329,0.8068552868578134,0.9334285858393641,0.8691556039244175,1.5695904166001757,1.2686128217936798,1.4695035218341446],[1.4448211045895487,0.9487117766449149,1.1265794195998917,0.41742080374078044,0.7156157259378462,0.6234900499868224,0.46954764426060963,0.49301802943715134,0.4585951028192344,0.32512633761346943,0.3445601420574525,0.43073154450371637,0.3998636037434693,0.4855448026980091,0.7056490836511982,0.5672828007138867,0.6480413291921816,0.7899719661545165,1.0576934013256958,0.9024895102303229,1.097007606909292,1.0891857942598446,1.3260122227181321,1.4004065505853107,1.2349170267897254,1.1318534046667708,0.8639659528347035,0.8227651174446741,0.7087856377273095,0.5098187845933037,0.6778339970801779,0.46711238664949994,0.5298807920436748,0.6074608894891277,0.5645004024675765,0.6389804832176503,0.5217581370692714,0.6587058153347631,0.6640073281574942,0.629909336072341,0.8174113813997588,0.9329364590992841,0.8779813864781482,1.1624301449596328,1.5882447472580126,2.137799354750392,2.6469298788859073,1.6345463185856564,2.4888174855492053,2.876040606646091,1.652183360849628,1.9030731451944314,1.112334248559709,1.023472228962153,1.1022317541143727,0.9217249922729263,1.0528727402627622,0.9201248025651447,0.9453397119955858,1.4750197478126004,1.1178808386336425,1.065051595362023,0.9456653213417191,1.180980338108722,1.090759976510428,0.9671954048598377,1.1628312962627696,0.9662662871264059,1.0900348150967123,1.089746381781672,1.1673995593143462,1.4203184448663337,1.1819306114107742,1.2944026677298772,1.011755922560881,1.3645556340565244,0.9237674679862884,0.8323994679299985,0.7633439703257843,0.8061947888985317,0.5856618180912598,0.6345413572374575,0.66450422993171,0.5034862191792683,0.5038145012884351,0.5069182899106891,0.6579553584532205,0.5804646238447604,0.7051539738740099,0.7377611295941845,0.7455952573618699,0.9603162931245315,0.8775296754138395,0.6944136814226259,0.6393371848822603,0.7506063416915922,0.7747019501789231,0.5146443447448119,0.43551407924741864,0.47722865461628194,0.4063159348351779,0.6116903062842448,0.4188714175752379,0.6256565019706175,0.6450181877078424,0.7278534096051337,0.9084602890739026,1.049701038287691,1.0106096937687152,0.8653700805824817,0.8010858682911606,0.5748687690579714,0.4387589342617523,0.3566448926842281,0.36704360349604653,0.553943229982446,0.7774197646051958,1.574656405551848,1.341416851846418,0.9078653699361235,0.9543970045295579,0.7721464405626087,0.8400849923846402,0.3831985963419802,0.2686176105955545,0.3697583412366892,0.7848290759402888,0.6351164363726829,0.7906397928942798,0.8539606940840401,1.0015046770964355,1.109749061338937,1.0855270454546042,0.9193509440254106,0.8750429688252219,0.9314325113780536,0.9834329246158273,0.7181248415393161,0.5482319253889519,0.7792075026832892,1.0149991474578473,0.9730628027850766,1.02986361842317,0.8303187316801084,0.7389252288091254,0.5723528317520835,0.4997749680305425,0.3649769771963027,0.34088810613932036,0.40300348665372526,0.6444912122187394,0.5092327452368607,0.7231030082672794,0.9476968187399213,0.81958673862781,0.4942838104501315,0.3856767807547592,0.4929266644579513,0.3757953305821126,0.49109081163104673,0.3801946081133821,0.4367157950651499,0.5133832790243382,0.5061764612107372,0.7084547182856941,0.7219070024428361,0.7269024386840954,0.9992937513851801,1.038473643129405,0.8218714245145007,0.7287509899218965,0.5465817825333293,0.5245707738304107,0.4607946711321058,0.41559814275944734,0.4599486000741181,0.4516570451347124,0.5247436909720538,0.48614071947739323,0.5020287598701559,0.5044348597300211,0.6043273551853336,0.7208732189855305,0.8409156381091557,0.8047523460274663,0.7354544400968492,0.7373866992588386,1.0331886901158238,1.4903295881277328,1.332921662064449,1.9286176350507944,1.5858478319223042,1.6391121065571461,1.5261627346499493,1.442412155591132,1.6607195525491738,1.4347535464533128,1.378527660116835,1.3744491667624528,1.3651052653732672,1.262847699520682,1.1966320793552079,1.1929000268051981,1.2275432769008878,1.21562698727636,1.1796137512743066,1.2368674368964023,1.2549064021410514,1.2032320769188705,1.2578249327947177,1.2915315948161212,1.3149200792686866,1.353591955852561,1.3712466776620733,1.5554705553519554,1.6278240204790524,1.4668027380026711,1.6283177473901804,1.4585786613872302,1.487576630213568,1.6807002935287096,2.2059984017957546,1.9562498681683644,1.5926095687156274,1.5304223016557301,1.4931918756394562,1.469848762729558,1.6036329374692069,1.7431784820607412,1.536312303527251,1.536172910757146,1.925705820371053,1.8767892621124218,1.667017644618776,1.797906954527151,2.1634581398719717,1.9194255620103353,1.7784035570158594,1.5115345632417634,1.3293468424930062,1.3367062448334772,1.3116786061682755,1.3502700930298481,1.3091304018541168,1.306783048391639,1.27013219208552,1.2076211614635985,1.2168423696922137,1.2833069366196634,1.1764746131914938,1.1919565839959125,1.2605045030537072,1.2458872473715135,1.209726507213224,1.2501190954093482,1.4758117515142122,1.238051888808945,1.2334234080849849,1.2401761265426614,1.2473320773252115,1.2479505811813227,1.2909844467066465,1.4186923949203405,1.3012979563825715,1.3674687157376175,1.537556683333205,1.5211928430675477,1.4721567176597872,1.7516336441628324,1.95694914192622,1.6861441779352278,1.800361253175512,2.031939758582637,2.1391072025160076,1.9900526621900598,1.7258788523971254,2.3582111820707974,2.078031860708673,1.8702133761135045,1.6045274333871398,1.4097897193096367,1.3954738517987508,1.513879793225238,1.3758750244114613,1.5743771653042862,1.2664949873713922,1.3316668608071194,1.1508764872454484,1.3188510139051999,0.9095517334586407,1.0791566399004289,1.0848681381472147,1.0615164678372109,1.5446284564838344,1.1912012954326534,1.0717342315040648,1.2225824833618215,1.1444392236184284,0.7665119733082955,0.9644617486735517,0.8168431942706991,1.5734779816100746,1.2987107665019755,1.5595528365499614],[1.1369513132478748,0.7795869697889386,1.021254894521456,0.3877893699825949,0.6471462010195861,0.5400134678696,0.43526055036342176,0.43984824600973915,0.44716588578765065,0.3797549716935451,0.41615384516606513,0.46688020769026156,0.46728481098938457,0.5680594171756361,0.8155264794164087,0.672479070641117,0.7283539878709313,0.8706690829882575,1.1137371425533351,0.9540813684138987,1.1272145861994187,1.1138351347818514,1.322824389379273,1.375194868320438,1.2277586671624687,1.1406457388043199,0.895557890757333,0.8575990552414695,0.7724856044071333,0.5932426267693897,0.7881236483235842,0.5688623388005262,0.6420380803939044,0.7331837505569061,0.6682121669948231,0.7325756158232967,0.5991266002888621,0.7232185400814015,0.7102256665447347,0.6661913015835413,0.8243358818804821,0.9665921541207475,0.9155012533287799,1.177817980618282,1.5333706941406233,2.024529111316275,2.5045929219073404,1.5671622005220027,2.441333660384986,2.7392500505291077,1.594529852395826,1.8584137057049195,1.1419303075602565,1.0982327838484949,1.124072194360659,0.9421723881785224,1.0609390784024344,0.9597451506978227,0.9881688149837985,1.482685486871107,1.1415460187876878,1.1053944617721538,1.016050606260924,1.2339065887022678,1.125630574497984,1.0164386394715292,1.2121637200014146,1.0436221280871412,1.1543907708387586,1.171492633199647,1.2396009549079157,1.4938090408078892,1.269870602342011,1.3622865563735955,1.1040833447128289,1.4704302905373607,1.0116421740454902,0.9424108812919008,0.858351240031253,0.8835160703956993,0.6663860704551536,0.6816343126347947,0.7369956199572881,0.5422403148404601,0.541921602813776,0.5666408665336855,0.7231057251110318,0.652994349975889,0.789868961169485,0.8354475431614248,0.8573320599514865,1.0807772032191694,0.9995838006843938,0.8310383191347149,0.7682770568676981,0.8831677321585046,0.8906203430059746,0.6302196589685181,0.5194161994733236,0.482013500939862,0.4574079016302442,0.5404325190163737,0.4241720232151352,0.5518642087617736,0.5840982651272446,0.6606688550287196,0.8037250627454156,0.9542590765333634,0.9110853327446319,0.7776383476903003,0.7189654983187577,0.5359061384027771,0.4284483486612004,0.3886474365378083,0.42008541900997926,0.5788055450543643,0.799895528796515,1.5096841461585158,1.3782683386675705,0.9698732660284101,1.0113738912355512,0.8329663266367402,0.8580591635865809,0.4238403727271687,0.32637870778012334,0.4062938935335052,0.7256663204347424,0.6186681303069943,0.7418504016379706,0.8139717995983432,0.9787413375263654,1.0593630296985157,1.0717550835328422,0.8974324268474769,0.8969518278207316,0.9439861793801826,0.9803145166400606,0.7116222057569297,0.580656060408472,0.7963310246883274,0.8458841983562001,0.9427784498089666,0.983404605795327,0.7907078755717333,0.7347762279551086,0.6155685657436715,0.5419258687475909,0.4287487098345125,0.36622188921941007,0.3973783479544212,0.5697417333047826,0.4468203258582946,0.6314814086785532,0.8940315795579775,0.8476185563122661,0.4543978587574888,0.39723842995774145,0.4279868814464704,0.39118925604471727,0.45934319020794073,0.4137141675747819,0.4952618088716252,0.5302680491863634,0.5394762670819623,0.7146716857167923,0.689533186042431,0.7296246418692964,1.0002969221840008,1.047551151744312,0.861666982307253,0.7548394428292998,0.5761706216662574,0.5493139417650464,0.48724929969068287,0.44381160320334506,0.4570005971915718,0.4885758244657587,0.5243068475527111,0.5232267979569586,0.5083317877345062,0.5227890667672036,0.5934583347184044,0.7224007061506942,0.8538357507783125,0.8354137805801002,0.7604210887644597,0.7566614167007356,1.080795570627203,1.584316714691646,1.397996347865602,2.011950571550837,1.6976067961611214,1.7050073110445545,1.5744508245868485,1.4498649684524365,1.625366043763268,1.4274902782833534,1.318762999088971,1.2854063177862483,1.3224062037786901,1.1292203578920452,1.0892136010835414,1.1000968703620935,1.0779554590968268,1.046172048022124,1.070997413932773,1.1062436071013382,1.0742556205645624,1.048270789868811,1.148498889820523,1.1247772205800632,1.1370607982162162,1.2532732459140428,1.260414810030385,1.3850061946487182,1.4306542175622754,1.2533766262172708,1.4206408985734813,1.2428482299721049,1.249912663501801,1.444911972579916,1.9930998497500985,1.7005380158272363,1.3861343243397337,1.2794677803695842,1.2460261848923102,1.2592125814025579,1.3835185410492974,1.5034943406301555,1.3358793019473096,1.3531792659423225,1.7460187977081332,1.6933675238691175,1.5059688208595932,1.677798878682932,2.0097806296956224,1.785521564492438,1.7048472782181359,1.3848667520930684,1.221456377196924,1.2054151122406196,1.1686860139740456,1.2466129840247864,1.1720391930223433,1.2629922553155748,1.1793368920363052,1.072005502684275,1.1542613933485766,1.2280180235593292,1.0666724869615494,1.1109837375007179,1.2324428890741463,1.167163141081107,1.081666805577209,1.1662570126045975,1.4075184106000174,1.0925332489937953,1.0507012341789068,1.0252609256529883,1.0220517157136175,1.0540442633691685,1.0667068159691813,1.1603884208964668,1.086165641403316,1.1502519402274318,1.2975268384212708,1.2927162263197565,1.2733714506220846,1.5322361522891357,1.7386806399516541,1.4978751933584662,1.6317841711222885,1.8456517076369898,1.9604755910368687,1.8256094056557939,1.5722376816577415,2.217461554258235,1.9774290814713738,1.692574858338001,1.4387657746396632,1.2294490996167906,1.223325065407527,1.3430480700213179,1.2334516400263311,1.4714947796747995,1.1569477413885394,1.1917314328699558,1.052371194650108,1.2067042144427085,0.8290785167487498,1.021427538470166,0.9485462646285758,0.9012016808733317,1.5223015219611131,1.0443851767481018,0.944820971733468,1.1349559998147427,1.1177306331521555,0.7902638033044834,0.8740038084129621,0.8593598456291331,1.4841676214408703,1.348201032811847,1.6793307025582584],[1.0362848896176584,0.7362384402390133,1.0111249791662984,0.37551319848742165,0.6633006503036186,0.5598796976683704,0.4496947099996356,0.456207098380677,0.4440614360812908,0.33465982852618636,0.36433201926922537,0.42722691857811246,0.40564973738041704,0.49080036518071124,0.7052086499628776,0.5655923285440047,0.6278461368920153,0.738142648860444,0.9532928613335026,0.8075012439501815,0.9538094373995064,0.9412662358856051,1.1393115178941784,1.1911427295472297,1.0727988414866827,0.9806841119200602,0.7645607532665766,0.7386854073011911,0.6587915872695695,0.49037877530234003,0.6567788909238491,0.4656306309419153,0.538660606312202,0.596904656355078,0.5448521587302008,0.5979179031582027,0.4936331430795938,0.5987913019133801,0.594627282217555,0.5725585096157382,0.7170282451591201,0.8072452081691646,0.7487145014618237,1.0271642640547587,1.4310862966399551,1.9819406738837444,2.4338869503065346,1.4453649646201943,2.4352440805211506,2.71789410219888,1.4709532702627306,1.8010149195169203,1.0283366532440634,0.9915792202729525,1.049588211973579,0.7970236828884516,0.9083948429937113,0.8297302031256608,0.8491208489392742,1.325950426910426,0.9727254329873155,0.9372100092136084,0.8450806414641754,1.03884581222265,0.9502506212980483,0.8485040823428867,1.0335728115252079,0.8809249528597664,0.9962808726782637,1.0280393076759164,1.0845754888349581,1.3271560314495456,1.1071036006129855,1.2043612107744905,0.9462444512237779,1.2988107085517155,0.8399324340159199,0.7645757511103931,0.6951183718346224,0.7237242218833252,0.5385976393794586,0.5824640026102458,0.6909556253737963,0.48633787468986533,0.47031056061248927,0.4758012642843966,0.5953510194936306,0.5442529436381949,0.6399967157052713,0.7014889568337509,0.6962948900257526,0.9125832243072276,0.8397716270777779,0.6806854113696694,0.6365073902863015,0.7524616312105059,0.7970267079281624,0.5365597088327452,0.45829278799799866,0.47016184616967605,0.4086770577716668,0.5582981611759611,0.3936644462629031,0.5739042158112333,0.6067994931988937,0.6809555471152665,0.8159258895810071,0.9538873937463132,0.9153175897461325,0.7948426007049076,0.7278527193434968,0.5430340345731515,0.42985925226748145,0.36403651588354324,0.3571504309416855,0.5126948487785825,0.7197977687443834,1.5191325882982736,1.2234383563397684,0.8350637052530878,0.8916393431639027,0.7405199500447961,0.8073287886128834,0.37180632102314787,0.2758385939982723,0.39186590318802905,0.7361860370324054,0.629192529964466,0.7519874611718236,0.8188878063178946,0.9727398283157471,1.0475188639312154,1.0414560886496107,0.8844392632681711,0.8765927544030544,0.9369016251446375,1.0009151979591608,0.6806979638717678,0.6080079865402082,0.7118651922447358,0.751945608404245,0.918620111485554,0.9181861577569366,0.7248712819185471,0.6431523674049919,0.5136826607125884,0.4573780320343797,0.36387175256525145,0.34226450319009666,0.3913751406295321,0.5946627040592772,0.46073299402969226,0.655076881050883,0.9092516797582672,0.8331598982687942,0.45458876337802634,0.37513723959412326,0.447403036839201,0.36152642338291197,0.46361950440680283,0.3949875355892441,0.42156835334079285,0.46979673153798845,0.45932962585125675,0.6375839822196951,0.6601383815295006,0.6757493708650003,0.9325568403124435,0.9891936019974115,0.8286446236795271,0.7135534170131143,0.5270486147050951,0.5061977588281514,0.46323818216658313,0.4107189371356675,0.45456010321284973,0.45318513251094594,0.5248930615543376,0.48424216797731007,0.5043662747285492,0.4880855987032953,0.6007682001651995,0.7137206561075168,0.8385730793008044,0.8192725130661588,0.7388242757518618,0.7043809992656639,1.0358497622749125,1.5297452996172802,1.3272020651279743,1.8801670992148452,1.619282256126116,1.6181213787198883,1.5080751619083201,1.3812255497072263,1.5483557046145469,1.395256724337733,1.2731617043380983,1.2458813700213471,1.334830262945165,1.1009939006540062,1.0966940890132177,1.1099948045300276,1.0470358566353222,1.0191664808190648,1.0774406688173477,1.0845203506795347,1.0269850185796312,1.035233561518493,1.139244161898216,1.0774575731245948,1.0860739981651468,1.2366179697319886,1.2248182143003694,1.3016361203569176,1.3283563743861504,1.1547838802961634,1.2764832538780229,1.1321714781828616,1.1284815917032434,1.3018879605438538,1.8571283112764942,1.5342469665400156,1.2954557729798049,1.158238734242977,1.129326069315219,1.190019815725952,1.261935183011499,1.3453855024585077,1.2255277130733202,1.2577212357927419,1.5898588302785899,1.547301680496034,1.3927625757843276,1.5599325483313606,1.8275036287025395,1.6329715288411992,1.6131008213458367,1.304675094691249,1.1798420764249995,1.1597876864139587,1.1421011166377588,1.2511651979507572,1.1756224157302717,1.2880112489434965,1.1948793343272406,1.084059548495893,1.1839492923546862,1.2560335115337102,1.0847637822420253,1.1379466296107288,1.2619833457973593,1.1820964562139007,1.0844543669028177,1.175157143618747,1.4069061848307554,1.0734418260901128,1.0204000713847277,0.9778520417863001,0.9749718546953235,1.0260204471847283,1.0020513196638219,1.0577225891041697,1.020443747644442,1.0676518621786681,1.1656200351236208,1.1692575501832037,1.1716098922562084,1.372804122199549,1.5570323806394515,1.3608036511329213,1.4913447228386765,1.6511781181001846,1.763641130904984,1.6562966935790926,1.4450604356991015,2.0367606544456915,1.8690335156081734,1.5315925591056123,1.3250541283483417,1.1397832012972617,1.1575488088547048,1.255862845638603,1.161847923837952,1.3983921438693212,1.1095362608163837,1.1308073490657,1.046217403863331,1.1864646724785237,0.8470854947153462,1.0426938622801547,0.9592465159955877,0.9044776789702099,1.5278608688019244,1.0475078910867424,0.9289697887648644,1.1217280807648584,1.128908122908541,0.7965467167176783,0.8869951569662551,0.8522449819144798,1.4847935995790338,1.372212240820619,1.6653924133508593],[1.3413879220356528,0.8827698198394226,1.067559669213422,0.29378525903848424,0.5874702669079612,0.5371009339519782,0.43971250285012364,0.466797260161991,0.44416487867643883,0.3739164822960991,0.4070052997370596,0.4469503757250236,0.45520785515007955,0.5450706463240493,0.7388326325821639,0.617242117631393,0.7081880504567319,0.8451747928402252,1.1000994781257565,0.9491785233416805,1.125105964749888,1.1018104625781464,1.3385352895076403,1.4194082639907135,1.2685594182843563,1.1680084381671239,0.9170565461789231,0.8958245354330097,0.7733698814465196,0.5673504449293452,0.7123731944796362,0.5175003091487591,0.570593127987269,0.640512705567321,0.6173372905593945,0.6890415671275253,0.5801354367952771,0.7012424140538094,0.7126839395431209,0.6671657932136151,0.8537891965681459,0.9597763502399766,0.8931413435466078,1.1626821769810585,1.6168540399656925,2.21169472820988,2.7129517498730262,1.6684821084808963,2.525224543548115,2.9310942111134266,1.6657040409908626,1.9221973171444253,1.0950711850638217,0.997209704826081,1.1221919634249051,0.9379729347243498,1.0727147365772987,0.9500883712988168,0.9729457126108895,1.483640945494181,1.1437334212510746,1.081372786168039,0.9591568518875982,1.1800543931318037,1.1001586605004414,0.9886212389574278,1.1720144285853926,0.9932077937888022,1.1122563065854763,1.1111503960611469,1.1899916328236617,1.419611675697503,1.1838146256879807,1.2918462886110933,1.0301610935523602,1.3078069101761758,0.9484263539667125,0.8594930771852137,0.7982239880629097,0.8384515471553614,0.6320505607990676,0.6773017990370814,0.649801338752793,0.5241104402661171,0.5344550581596135,0.551848813234177,0.7006481185748497,0.6349654396619102,0.7469385610765128,0.7815602499432156,0.765345966261055,0.949339961651478,0.8823103486476581,0.7071013672235388,0.6668013587286566,0.7602767456795237,0.8108265686050474,0.5521491572574527,0.4680845985304364,0.4703914231396556,0.4376747059031807,0.5641685605967532,0.42124215491395994,0.5759831985524104,0.5955534481105033,0.6666918435350947,0.8437054337637152,0.9933798830513996,0.9407150118375951,0.7866679648857747,0.7162283103753198,0.5196281265392012,0.4164566595682508,0.3526673699288421,0.45466409036321365,0.6629951927413867,0.8828524013874205,1.7149179551410763,1.3877832141743707,0.9789944646276845,1.0204376047816588,0.8670196293851707,0.9461240321748796,0.4898176991990549,0.3066955115982469,0.3421618899292174,0.741343432310133,0.5721471498016522,0.7338565364146263,0.8093815891943128,0.9655329961412182,1.0753576722202887,1.0555757557681966,0.8848107026342016,0.842525486272346,0.8883927316553967,0.9286567262680467,0.7007036878400578,0.5748655909805431,0.8572851267726092,1.220255932331222,1.0306658536225302,1.1199698031539358,0.9482014694959962,0.8093653143073893,0.6447768402301771,0.5796760480764885,0.4187160059522436,0.3454758178632446,0.39225221636606955,0.5780866965359234,0.4839904620441395,0.6944954941863162,0.9207679903339047,0.7964414390498473,0.4756652800143487,0.392786372708406,0.45121996035330797,0.39628442460057883,0.45990453619157523,0.37306925607455843,0.48034418456021283,0.5780390914150372,0.5590548282385389,0.7497010238409854,0.7764711196601073,0.7552228573385115,1.0222137696243228,1.0432681127802976,0.8353370223400026,0.7254330566008564,0.565145257017232,0.54070977523454,0.4600787127998477,0.4232377237968235,0.44049369350203904,0.44935447162995085,0.5038270933779138,0.5029595987518698,0.48993519564788923,0.5114040061397279,0.5661254985326564,0.6873630518881327,0.815626129603648,0.7822321578309217,0.7424279403813275,0.7759378616141168,1.0621818979609499,1.4926672278138693,1.3352434935612758,1.9002993312907484,1.5846176226741697,1.6322793495212522,1.5185917434079412,1.4231151087511364,1.6264864710168734,1.4119598335992498,1.3472184674571088,1.3383483148672437,1.336455907381912,1.2098470087074382,1.1300100500749866,1.1293423146487809,1.1515275195712553,1.1272418415776808,1.0876217152479306,1.133227527620394,1.157234520991395,1.0880503568383775,1.1431985578928912,1.166208284737406,1.1677134940612164,1.2058928273465777,1.2406724226240877,1.4008280428788056,1.4924936736127727,1.3085601441134596,1.5026331903243006,1.3433731661660802,1.3592012712990382,1.5515359449457418,2.1027196049789016,1.8409324252169867,1.492372119789555,1.4276926761341846,1.396454046752126,1.3865651992643189,1.5103509170050589,1.629445588221544,1.4594898399129297,1.4530411494363658,1.8326882949731826,1.7735728772249943,1.5855704428418724,1.7365644358898542,2.058626592066706,1.8436729468267234,1.740228713468326,1.461252466521595,1.2874351421086296,1.2829049833023558,1.2582179021283248,1.2994911863688032,1.2423268680682655,1.2676917251378554,1.2160540786448863,1.1450952919222663,1.150648189852645,1.2042682152166617,1.090380946686186,1.0949727862934688,1.155540684424245,1.1380561004831333,1.098423880359272,1.122902677802235,1.3550291417095839,1.0953738126804737,1.0875860254795675,1.1066717404697255,1.1292565024144061,1.1534829652431051,1.2026945986095654,1.2985204794661467,1.1949565134777207,1.2790635456803314,1.4327652232970947,1.4191051241640036,1.3890095851146527,1.6515921072968351,1.8369901292930075,1.5952121265041892,1.717945301727109,1.920529727063169,2.0124355545699917,1.8856958501315653,1.6364664635306452,2.2559371775126924,2.0198585920588368,1.7521990999168156,1.5133277955320048,1.311804047822293,1.2758258085066616,1.4379624029068663,1.3067389016667517,1.5134004212058363,1.181261075761909,1.2551512506363525,1.0771024797305506,1.2597712297795136,0.8342105042792424,0.989487661890664,0.9533886847219853,0.9069397868786996,1.30481543841963,1.0017073905195664,0.8893982935461345,1.0167701520766248,1.0367558923164895,0.8061249225239377,1.0226692192094688,0.7832853720671953,1.563593311542927,1.412505797070566,1.7507001280223755],[1.2901223942678837,0.8449486694177851,1.0366034662126093,0.28981945289448485,0.5543608369951671,0.5019100860006473,0.42177423783738427,0.43678571898956564,0.44299117415056616,0.42486462847269113,0.4742537688481388,0.48545693524617595,0.542593184006728,0.6420385045126098,0.8933969955430566,0.7615722642768811,0.8396665766375123,1.0195410995415959,1.2864601708327386,1.1292910339073936,1.3296958417313898,1.2983464547360841,1.534592426118369,1.595197236696398,1.4291824054513647,1.3436909128408354,1.0641802179662136,1.0385560740629265,0.919923237127754,0.7071953187866928,0.891825170076242,0.6707010514510686,0.7303554835210171,0.8335294982055773,0.7913388201272107,0.8710087169088147,0.7268971818848264,0.8527382507321362,0.8557327118866411,0.7883888997594187,0.9840497060584417,1.150245429381031,1.0962882031317127,1.3460873391685724,1.7309750976632738,2.2391831456132745,2.760433954479299,1.7984324780832295,2.5468685626183443,2.93864958455122,1.806444068873728,1.9951182514429966,1.2622826659325617,1.1537580708960884,1.2342782908394008,1.1227643492387547,1.2541632634088724,1.1170313520191812,1.1531229760585207,1.6864358601126679,1.339434659928331,1.289563190640834,1.1770536512396146,1.418234765503489,1.3110008178421284,1.189296784570022,1.3935305207971447,1.207696592484885,1.3157716190096134,1.3098688252740203,1.3884359825586217,1.6291860788167252,1.3968683707817935,1.5059473705029993,1.2422883810600143,1.5297040805017112,1.1684771065329,1.0884264787980105,1.0115240564823234,1.044738303710991,0.8031594311507763,0.8181552456724551,0.7243147542578936,0.6240779614386676,0.6505890943237069,0.6798722571594368,0.8654769984792914,0.7773301582319515,0.9404649451263839,0.9613817115640491,0.9728502890749184,1.1603483965938541,1.0851177419986697,0.9060004565713342,0.8454750011184646,0.9402338878698281,0.9677261366520887,0.6966465283029772,0.5655981598404554,0.4896236788089952,0.502922128004741,0.5175426198043891,0.45471046613876737,0.5367272554133465,0.5591127051924482,0.6266138149444588,0.8006762197634125,0.98037592941358,0.9125646385527401,0.7385045108029678,0.6701447698824694,0.5040874610023358,0.41605019414913513,0.39443865994665367,0.5141990662887718,0.7090212449665997,0.966662809605064,1.710976739893668,1.5743994401816293,1.144484949251696,1.1586201643672804,0.9706234571764623,0.9975203441956115,0.5277892790381408,0.33970871839587946,0.38319925014569434,0.7058473672923179,0.5614065111952289,0.7136420956992829,0.8057940102882774,0.9879573535929658,1.0901506218554646,1.1031628880300945,0.9136819498003667,0.8909767765592645,0.9189515035965492,0.9218836320051602,0.7337364959843691,0.5094323097272677,0.9295448941519481,1.315538959216195,1.0595702021788962,1.1896329587632395,1.0010617125385068,0.9061671692169606,0.7533386878731303,0.6596682274936134,0.5077908894911618,0.3861901581615631,0.39332977627006493,0.5338705506252872,0.44547651479041167,0.6304941649091811,0.8809245030553967,0.812148309784919,0.45661686022164555,0.4207991726569049,0.412994078398514,0.4390523957320504,0.4560669225913703,0.4181072177199885,0.574130570493051,0.6433817827170074,0.6581933805144807,0.830498283107921,0.7872199398421247,0.8081764328400084,1.0799114615942682,1.1008165975340691,0.8756151325029758,0.7847209675153646,0.6255663758056524,0.6089289530878932,0.5199500902546672,0.4857785999646018,0.4579136059951549,0.5012478732147324,0.5040581423665326,0.5658292551886162,0.522498831595523,0.5889259602999655,0.5708997574243247,0.7154556478415424,0.8595009107913202,0.820523849622848,0.7942576309118317,0.8395597929712897,1.1031402212532775,1.5349764922069582,1.3967192287467667,2.0578949424251074,1.7067897110998413,1.7364775869810491,1.5950220385434297,1.5028202633925287,1.7126210588052142,1.4716865671297934,1.401290457433456,1.3645615226402694,1.320364609766654,1.2147367262094795,1.1013343339327695,1.0943518895975353,1.1352860265440368,1.1050242180407757,1.0447723311677568,1.0992419985922268,1.1394584893935653,1.0501008842684916,1.111327574976044,1.1449263811568429,1.1473469567513161,1.183192271972334,1.229620511971363,1.4049261748993944,1.4987454834902936,1.3231417448699891,1.5616189033735313,1.3759803564235285,1.3966609074753034,1.6138360831661391,2.198034802429672,1.9479793483639278,1.54675082829925,1.500717194991082,1.4671418228327704,1.4235607957915677,1.597200972080304,1.7346330747296606,1.529110495505822,1.5198466272891804,1.9627914119227483,1.8809227706985028,1.669244486087998,1.8656102157462804,2.213310717038166,1.9758645053980057,1.8415534156013633,1.5173776403032841,1.3199707221694232,1.3261861573244356,1.2755973707030825,1.2983236827021851,1.2258099005128236,1.2570705420035941,1.1952592239799904,1.1255390630074,1.1219655785127363,1.167293023026413,1.0462089108811352,1.0478185926714139,1.1197057015560687,1.0944677672381486,1.0544382745870053,1.0823699990394144,1.3238901250915156,1.06170544468233,1.0577367565145974,1.0871892605980196,1.1156254530031284,1.1340584929707078,1.217230289726005,1.3240511378395774,1.1950495770862586,1.3065703898273073,1.495418209496614,1.4669527212482405,1.4352356539399134,1.7555601197893849,1.9485556259247228,1.669126322865305,1.8165348449389682,2.07092563615482,2.155845174612952,1.9982550222047344,1.7028893621543952,2.3864871834013104,2.0942755376386075,1.8412459653560593,1.555450400746504,1.3238023483844708,1.25663577924476,1.4453785017988148,1.3119640289804075,1.5409913443488523,1.2003776257708483,1.2731358028146516,1.0451371241208127,1.2466342851199574,0.8007479379917903,0.9458172660809057,0.8813396472738737,0.8367952425761759,1.2444212433467372,0.915689198903191,0.8361825921638115,0.974497149715246,1.0370039598441816,0.7771509619539584,0.9431161937275693,0.800136474613238,1.4743748519188569,1.4374151915993827,1.7644758970676895],[1.0360475083801963,0.7289903648804041,0.9805363720110482,0.3334313797839945,0.5576788541205,0.4915543185837224,0.4535805671962761,0.4646440317715713,0.4768535584300445,0.4775848512114878,0.5288943074229415,0.5350237877872739,0.5861630999491957,0.6769505141419361,0.9213245620828701,0.7889363501521011,0.8469955544542923,1.0017085136642936,1.2310724859904822,1.071150861325787,1.2370899408814553,1.1945527265995302,1.4063332738164582,1.4473560592912371,1.3131401579120257,1.2461422669013902,0.9989398708684086,0.9996583896601173,0.9052990381756733,0.7183113475207625,0.8971046251031608,0.6998678783979939,0.7616073190144605,0.8428045223312882,0.7956900490370064,0.8567075929212108,0.7326506970634872,0.818946276483203,0.8107404775524576,0.7340281441493444,0.9008177897545621,1.0573431367024235,0.9935104459784124,1.2345251472501273,1.5958280581734972,2.122387979484371,2.607498152305596,1.657015420776244,2.5185991472915807,2.839460279040813,1.6804341187884866,1.9264517230987213,1.1804677788305975,1.1118057308143967,1.1733451414700071,1.0243456673151603,1.1495079767091305,1.0420636715026201,1.0729497426162387,1.5854907164651235,1.236737759467903,1.1955941578078422,1.106380887846049,1.3160852024087863,1.2084119728960305,1.1124005415282567,1.3114371231973205,1.1559533408533191,1.259154376613183,1.282090214979071,1.3487715096275725,1.5745093150505083,1.3526274645973677,1.4388052313430253,1.2024786160733276,1.4776813601865324,1.1161196742774293,1.0489435240864293,0.9721769305865765,0.9925353779185,0.7774690090488308,0.7836663794873708,0.7325672887162465,0.6118644520305058,0.6328832680213848,0.6622102548837637,0.8260019090488097,0.7706528213946199,0.9057447919225593,0.9473700099874793,0.951569563115905,1.1307286116060518,1.0754250307580755,0.9190864768581304,0.8682963942534178,0.9647742413457484,1.0045831677930075,0.7432634978136686,0.6222572378361361,0.5444071310818576,0.5537354206670598,0.5230788965600904,0.4813567081686257,0.5415865550162273,0.563944213354934,0.6354522981296555,0.7647174862854578,0.931850235382676,0.874903268255768,0.7253886411136117,0.6553180696004473,0.5320320438645906,0.4527360574943466,0.4310870405332705,0.5406691838533194,0.7110526597760878,0.9524730301174872,1.6970410391868942,1.510020883649813,1.1214775662977194,1.1481550716435,0.9857700582857548,1.008382987611186,0.5527392362642636,0.387800116274028,0.42534343715830997,0.6918304183067883,0.5860093524892772,0.7118271597788924,0.8035565625950053,0.9915518646967669,1.0562269366118233,1.0896008327996651,0.9048569646458796,0.9136970351320033,0.9409881914372739,0.9495165881612856,0.731545903829805,0.5372870223345939,0.8968930135855695,1.1315550697237304,0.9814986799738866,1.1195223407012234,0.9402999306640215,0.8413035230843546,0.7245207821701264,0.6440203231810229,0.5217605496011163,0.41869701870962533,0.4300261259823732,0.5366189770550895,0.4701236041564222,0.627236676509572,0.8827038881455502,0.8596301673950082,0.49735253981262,0.4749249247414435,0.43302675088914444,0.4757721945571086,0.4758591769724935,0.43652137356341947,0.568623840851964,0.6109656361280539,0.6226912914308743,0.76940270495737,0.7282427478709632,0.7519621329834878,1.0003179064544594,1.0572445236405879,0.879795477696293,0.7804057156334003,0.622507101948516,0.5916599215332496,0.521940721223054,0.48681187926240865,0.4769640143267803,0.5210373228094881,0.5153144124802506,0.5652324946334399,0.5307265654101375,0.5833125147781816,0.5902875011342785,0.730688663573281,0.8667798243919798,0.8326784405259747,0.7767620554575736,0.7880616135752362,1.078859491940581,1.5567487216911957,1.3916168979586205,2.031973539076044,1.7488670837402305,1.7245128516841917,1.5965509235024649,1.4810504012117396,1.6458107356364213,1.4672395042802657,1.3542076846502198,1.3053086025127572,1.3084098838656546,1.1249639442040087,1.055188588256524,1.0570637814424302,1.0368282423898036,0.9900067268974035,0.9920979511931974,1.0085771234472731,1.0053076582333125,0.9449138373781395,1.0322583689864828,1.0095583156145282,0.9985560941982861,1.1037171359072544,1.13000179561196,1.231886259817121,1.2996390703185003,1.1175387094387763,1.343264117423278,1.1743376350192078,1.1661130728106934,1.3735062776068339,1.9666263870631568,1.6864884690824833,1.34368587101604,1.2678795683576338,1.241752539157992,1.2546614095872897,1.387393811869442,1.4845246857443477,1.3460519158358264,1.350817601136647,1.7518392275266952,1.6750766354431879,1.5026913441196756,1.7188137578542226,1.9954421768588175,1.796293845233958,1.7434231583629254,1.4029762401556158,1.2394904482933664,1.234105123493661,1.1861194642067647,1.252765131191838,1.171974506045681,1.2759709709009583,1.1668423405080806,1.0602998622910862,1.1277952182856539,1.1714192155889018,1.0005768052946988,1.0286923754599455,1.1415288416012208,1.067219466337858,0.9858474230318974,1.0507067971919566,1.2881910550800528,0.9590467582936674,0.9205718578598346,0.9205546666465342,0.9455759189280553,0.9961126734978811,1.037318127408721,1.0934966927481768,1.0198628408754284,1.1226651476510112,1.2627023469797345,1.2498073892488653,1.2558115404466588,1.522046421182263,1.6916443640646606,1.4731897100744866,1.6327164260040385,1.8333718603928104,1.9127955694452983,1.790911371008042,1.5373072305105893,2.1870015065987323,1.9838437706122476,1.6342205542092827,1.3876090207584237,1.1613982250485428,1.0985561384330491,1.2892845732685598,1.1902426147807128,1.447337276189456,1.1399906198577974,1.158369658888873,0.993157008044699,1.182080650692867,0.7887803902228799,0.9491110162241805,0.809227077332525,0.7474523849090947,1.2096738626632662,0.8191665313472516,0.7578952699846843,0.912839360867124,1.054702581830513,0.8219038564839198,0.9098480681503444,0.882397719106703,1.4125664608909951,1.5494671600635255,1.88030172643612],[1.2128383283373354,0.8399799033246608,0.975307526127962,0.35737639586012415,0.4366902801993261,0.45939093077948123,0.5310813998333497,0.5550154988284602,0.6100387849206962,0.7013150290357201,0.7374223069549785,0.7282361780678709,0.7885831110739647,0.8995689530448262,1.059364723122916,0.9641306060345921,1.0548334763905556,1.1783764603186764,1.3897531636049463,1.265989032555246,1.398392944727388,1.3436456129720122,1.5538635321264862,1.6212122137438267,1.4935314857421613,1.4347394871868961,1.2301657672126063,1.2491999644490481,1.119463389483428,0.9140815804535182,1.0397802490750625,0.8612744881745494,0.9025283302340897,0.9685674719426468,0.9560177825421144,1.0250716813437308,0.9081675917184626,1.003904410017993,1.010360307990873,0.8889567998075525,1.1012611173518327,1.2232412318208896,1.1296843658056128,1.350026719676126,1.7512658337559954,2.360113238279553,2.8096570410759267,1.8242260424394399,2.676635882972042,3.0642517772340865,1.7743660027071428,2.027900945551906,1.1909094170998067,1.1071759395722307,1.2642317898104873,1.1367919174305399,1.295656525602357,1.2109238811326934,1.2222126657710632,1.6496850267090635,1.3717581543842599,1.3263297876266578,1.2327296435185295,1.409291294788912,1.3297109215639515,1.2586720147240527,1.435641218862136,1.2977226870701537,1.3981251715885012,1.4095433743703512,1.4628865554175372,1.6229727898108643,1.4537180563963537,1.5335581990049059,1.3226313656552968,1.4854558747958835,1.244424939527266,1.1655948490625498,1.1117785344893936,1.1273128144797575,0.9243591700540282,0.931468980654393,0.8053036221518717,0.6751881168892413,0.7347183570880353,0.8320163141373161,0.9997313469359822,0.9256244783556896,1.067179546941353,1.1073674032080412,1.0742336667454664,1.1890729231008696,1.1548264850197343,1.0104880108866172,0.9921885280307626,1.0671759930341176,1.1090934783928372,0.8939908113417023,0.7726353743380899,0.6441576839745955,0.705984747186365,0.5965229955889866,0.6084833867054127,0.5252790665437215,0.5130686561955436,0.5573320978324725,0.6834573190021394,0.8405370796391491,0.7505340625658954,0.62972333060894,0.5590562465110228,0.49674314370077977,0.5171869814379081,0.5839055188022917,0.817964470466352,1.0602125169192205,1.2772258857815222,2.053210911485634,1.6569670661651823,1.327844709421412,1.352298917608517,1.2359654529535284,1.3214800348374365,0.8777474972212571,0.6339044527424107,0.5374784172184702,0.6800457336201019,0.4706003360080689,0.5896961746798381,0.6619320516634561,0.8150213020581377,0.9184459386604832,0.9236416505536131,0.7374050531587032,0.708720631825879,0.7762979540960878,0.7344379097765894,0.739745284433745,0.8636262950426181,1.2104521223898155,1.6977608543061573,1.296050120016955,1.4586523977434134,1.3576686107460127,1.1491383768126007,1.0036726134937328,0.9494286183640277,0.7377405343434429,0.5724780912456419,0.5655276185528971,0.4935183344556958,0.5691427017260834,0.6566801769538719,0.9298240431745343,0.8737415816284109,0.5913370504755293,0.6169429116929839,0.4844095927177079,0.6469401681459757,0.5491875013977878,0.5774662673053697,0.7868617405858522,0.8964266678583089,0.8298174140315623,0.9480615174771038,0.9827290711031016,0.8408775648565214,1.0561032795198944,1.0271230571758108,0.8738658259041644,0.7332599393272202,0.7396222394182129,0.697782134238854,0.5983575590051828,0.6101067473707512,0.5469435445074471,0.6626926595895568,0.6119151722256551,0.6588624417892305,0.5441978253259573,0.6115302090395212,0.5070014988337126,0.6007249287107658,0.7390286248765925,0.73071608098422,0.7963642605726274,0.9318633653729466,1.1094943791820646,1.5003031308796413,1.3256027610364653,1.853886417588132,1.5857772931530185,1.5835411143445002,1.4549017595007778,1.33480750553319,1.5348105160068608,1.325285181688028,1.247805944406643,1.2343208135029782,1.1907745920037294,1.0645525141051178,0.9342900713021295,0.918472729456061,0.973576946042838,0.935799965132259,0.8663322237874554,0.9144451222611475,0.9753774088927526,0.8607591316146501,0.9199903628981013,0.9585185039205832,0.9455647412026728,0.9744008900209135,1.0403532360604868,1.1873072740166442,1.287530499718318,1.1123531846688421,1.3763169929974903,1.2022930382361978,1.2019238770251566,1.406519477897907,1.9861340464588866,1.7348177467752142,1.3686981596574361,1.3029117214258754,1.2651052804894307,1.2525567563772892,1.387900404630388,1.4955106657484183,1.3558767302196253,1.3376723287114045,1.735119745067601,1.6688471516792314,1.4857280568294264,1.6714008213039697,1.957802911199414,1.780737594578585,1.6913371419214844,1.3775367132252063,1.160733502098012,1.1768978338090186,1.141888616067794,1.1564734795748954,1.0920410495726767,1.133084824320756,1.0520161881552794,0.986696251677272,0.9731628129412461,0.9986509126323311,0.8749035419769035,0.8787759307850003,0.9510841859155748,0.918173385429431,0.8845244182567641,0.9018922102304701,1.1405902388014666,0.8659672005367626,0.8647824670184623,0.904240383102499,0.9374931352778582,0.9633823573326502,1.0469962284071879,1.1287117005051805,1.021115345647711,1.1341685337509173,1.3003290733041324,1.2876647301987927,1.27701435714734,1.5496829956423626,1.715735500971348,1.5051391627839643,1.6478483435249527,1.8379160159350219,1.9117268836040933,1.804431985671021,1.566957343849642,2.175047952830049,2.0106828737551434,1.6661607175577495,1.4216555515357618,1.1755079189812052,1.0581886701853216,1.3145623511534599,1.2057174871600194,1.4701480241383498,1.15316340121413,1.1501564840524274,0.8713234694072903,1.092948748981606,0.6224285123217307,0.7770010893009079,0.6707971282086715,0.6305208636765631,0.8990176044953389,0.6692013482112387,0.6711366728657582,0.7181594070319205,0.8495572982234797,0.9768919684046745,1.1840552184037363,0.7618307004640648,1.6766215639289985,1.5850460027362214,2.1083845030939488],[1.3113835861088154,0.8815776914139718,1.0238243867763894,0.31477294783318105,0.4858251007366218,0.4947900203760262,0.48222081650062515,0.5120435572651848,0.5096144858759022,0.5165459672223306,0.5509129071346797,0.5685073716691503,0.620155294073568,0.6991174538214783,0.9132242066985391,0.8047921257943573,0.8822048945913403,1.0411058340339334,1.296884740431373,1.1475975979408004,1.336504624227316,1.2978068093538484,1.551657391286628,1.6323281520567157,1.4583989314623251,1.3664550397278827,1.098836498094803,1.0920725252490968,0.9610998900431432,0.7593419529331625,0.9083563674194193,0.7219684679221039,0.7678621707664037,0.8455746249629362,0.8264154788457254,0.8971488717486905,0.787136844693963,0.8945464111587167,0.9052716090288243,0.8422807098251212,1.0207362838187546,1.163654648518784,1.1025024328741873,1.3376681625363802,1.781641457553405,2.339580518817361,2.8947828782604863,1.8496592267627925,2.5468621229435353,3.0194526618595727,1.8554205372727388,2.0296532924643356,1.275144737007585,1.1506272944787954,1.2930468750920907,1.1431526088050423,1.2670808385175059,1.1549461330097748,1.1745438079929786,1.6731643753372654,1.3476021121492405,1.2802663938016077,1.1607409340456336,1.4041444050586227,1.2962620711745374,1.1906916006127348,1.3690023627177006,1.1977526572412522,1.3009076836411373,1.2963580352241368,1.372998502967,1.5839485893627023,1.3618507606284378,1.4575606332690278,1.2257694369927348,1.4479096628289179,1.1579904320297756,1.0792458358380979,1.0179738841427242,1.056926245982681,0.8432087100605654,0.8696540093307681,0.7328305153741017,0.6831783719882076,0.6951177057555405,0.7358876458015974,0.8994788125487693,0.8172716625296008,0.9595809238794992,0.9754857254721978,0.9670127364091045,1.1199343341182666,1.0650820588135912,0.9010805168873645,0.8575937325757422,0.9381601566445331,0.988002731633058,0.733418945349623,0.6227870105818119,0.5503671324238034,0.5814175378478028,0.5751243650233531,0.5354956668617736,0.575642634172297,0.5988047792570441,0.6420172925780534,0.8339247228308097,1.0059244428792222,0.9111271472525436,0.7270547084071236,0.6613521684216398,0.5288499716166473,0.4781986112415031,0.4767486057553919,0.6237445110574845,0.8193759385142683,1.0599516332142689,1.8157473678917977,1.5775444268453556,1.1894501688329369,1.2001485068982225,1.0426902786352406,1.0816524794531057,0.6328586964478187,0.4446744752716313,0.43668309524024,0.7124305206600017,0.5533306892108599,0.714041781029934,0.8189772502117669,0.9990852184009256,1.1187408819550242,1.1400550523462902,0.960340807202394,0.9156655476763638,0.9172080792599709,0.8846390679700554,0.7656897994681532,0.5192359438237836,1.0080336653548678,1.6673710766610599,1.1816200917081907,1.2783248715399702,1.1419232383957028,0.9873675063632935,0.830527479191545,0.7581863298072036,0.5916696943777809,0.4743726397884922,0.47839754444923527,0.5434209534574937,0.5141839829398559,0.6788796833146973,0.9094422693485964,0.8137382881964735,0.5229746938750827,0.501362241297374,0.4730125751679572,0.5359573145057277,0.5136646496299421,0.4984523291934535,0.6497319304080713,0.731650413063451,0.7261772430041509,0.8884874315745116,0.8703614427981236,0.8615812041583261,1.1096225321840714,1.1206542877463268,0.8909928325728323,0.8175164585817063,0.6780412364058269,0.6682877726526655,0.5760446003898587,0.5588395894362385,0.5232353371043984,0.5624391017382365,0.5661670999469641,0.6343400884718476,0.581642181998868,0.6369881232923902,0.6097613207672247,0.7537921325138158,0.8996601741952893,0.8562295776057385,0.8415609603717492,0.8989805365600858,1.1461042803037076,1.525088049548831,1.4077117254573435,2.065522112678503,1.7055653490302929,1.7736880648018307,1.6383807376797828,1.5539071368135449,1.7530651080975845,1.5008605953530818,1.435776337491561,1.3702209399031182,1.287465494517958,1.2139228039747754,1.0682535528641246,1.0419325814623412,1.0902061865363248,1.0645747370383802,0.9561850972212012,0.9894249332892873,1.0708751911667782,0.9575914785943577,0.9832844651221825,1.032228460095216,1.027480156314868,1.030510024263603,1.1016575559299304,1.2647466658436233,1.36952824775712,1.21649018363396,1.4825049639585022,1.3105866183544885,1.337940629003114,1.5622004926265198,2.170108571449106,1.9483266026179438,1.541054950545446,1.5215247611415605,1.499195423830217,1.452859711093143,1.6458782117555353,1.7547939357651772,1.5612140991975094,1.5591200842090616,1.9983863014500018,1.8933848802260675,1.6942232612977803,1.9167071768058872,2.21978417272739,1.995389752812549,1.8722885221085293,1.536276120243817,1.353845010703515,1.369814319019044,1.3075812898995884,1.3212901311220384,1.2478037532112742,1.2697547379977925,1.1946329275285072,1.1281784186073756,1.095386388927368,1.1064199776418537,0.9884633858737643,0.9685376150487558,1.0082573606927872,0.9910825542414863,0.9767629964017006,0.9660175125371169,1.1958479858848814,0.9466339372430749,0.9655215921369287,1.0214410961886333,1.0788830675052876,1.1090869804693382,1.2242349108661041,1.3034034231494336,1.1556755883987353,1.3048548056190685,1.4859724164926078,1.4448678005187423,1.4248156017801354,1.757605913635063,1.9132907061730065,1.6369638437714098,1.8119618424223747,2.0538692931202585,2.108064326907248,1.947036681138165,1.64460699071488,2.316030377904093,2.0508692424657933,1.7754721602084693,1.4825299664020382,1.2466079120330826,1.135790698250974,1.3732934388558289,1.2492238593953109,1.4738334057913656,1.1603785437622445,1.2368345001624481,0.9554107808098172,1.2045046236722743,0.7368336794957829,0.8488900369127641,0.7994366703395721,0.7539513627825228,0.992185864999389,0.7634828478248865,0.7200745585634197,0.7975321947404997,0.9395113166085087,0.8990196941462104,1.0908514386621315,0.8009303078943838,1.522831004584974,1.584816656891665,1.995948467638988],[1.1323923303474626,0.7871384593371876,0.9932553075063673,0.331488791686686,0.5289744362611813,0.5057685197564639,0.4957767553769343,0.5339324416263824,0.5385751102742504,0.5912997700980223,0.6533200758096609,0.6582649507845597,0.7454056791190813,0.8170768496776069,1.101344790487762,0.9849760139339644,1.0523284690018906,1.2444117512652053,1.5070172920242184,1.3511187481571896,1.555406596482145,1.5102594883135938,1.7453287682584362,1.782319738829113,1.6177028001716989,1.551428600259053,1.2643154355283734,1.24400084673943,1.137820433053305,0.9429107818004873,1.135895584867486,0.9214209128599211,0.9879525589129533,1.0994706779201846,1.0498016331778042,1.1215950678216378,0.9802697820699632,1.0767334787202978,1.0734320806611182,0.9899855955114177,1.1604902220649935,1.372576223120357,1.3288165575548139,1.5340139855134116,1.854164877592722,2.29909388068101,2.815886883126136,1.9240872800330975,2.583822134568959,2.9484786768788225,1.945333968295995,2.100407783619272,1.4557784138157566,1.3363119071782437,1.4151632509626322,1.3505107413048623,1.4663319264142751,1.3454925759854977,1.3858139595880692,1.8955931441959775,1.564669654405425,1.5157463525946615,1.4127949874931394,1.6574470425869643,1.5230044183044296,1.419439381813622,1.6159402514870371,1.44287523722527,1.5281364214688997,1.521380527182651,1.6010588270151247,1.837736135558164,1.608529890907723,1.6994571347313923,1.468191849069843,1.7375786812711378,1.4117390191806807,1.3500210115808062,1.2741149163209753,1.3044308891220793,1.0615760324176877,1.053298012248627,0.8889781464390534,0.8412442112003514,0.8594044331722029,0.9020092850733257,1.0945556623047665,1.01534542187018,1.1931735350896182,1.2125474522871937,1.2268850502754833,1.3941772432092805,1.3268620920726826,1.1631781298498771,1.0907142681259554,1.170723628914514,1.1851825696018221,0.9317086695814625,0.7869935817170312,0.666383032927013,0.7274180835646622,0.604617759263847,0.6428781523081263,0.6092913593434065,0.627509478950502,0.6533689705289107,0.7942393855268954,0.9782786193533077,0.8817108061921507,0.7015639484343918,0.646067262410548,0.5798230474266478,0.5245586413131476,0.5508349363362808,0.7005388300874278,0.855750322432176,1.1405106646861427,1.7919477218836628,1.7756783670168006,1.3725682699153823,1.3501284251121248,1.144248367040643,1.1076462588370604,0.6653914646740224,0.48565891120336846,0.5093624189496218,0.6937640848391203,0.5928730977243168,0.7168830349331623,0.8332401902027079,1.0132109622712102,1.1024726187770417,1.1602589027539765,0.9709911716871635,0.9668880462617561,0.9593126271960405,0.9127779378418714,0.792859231980502,0.5722115752285338,1.0564878007478073,1.60898840589831,1.1679157679340373,1.3346742680012134,1.1548022674595733,1.0904669366553694,0.9510271216322089,0.8405152499500801,0.7086305874317372,0.5706320820043077,0.5385789380995373,0.5636695766731058,0.5467541898507677,0.6696495998809506,0.9013050914450135,0.9130876525538778,0.5948282384323439,0.6058615495942301,0.5225313436576587,0.6394193595124357,0.5750762418824426,0.5838429641354492,0.7791837844486488,0.8049158911197543,0.8462766837708134,0.96634825135531,0.8590639807529,0.9007346511405604,1.1425173427574575,1.177952724800371,0.9597460257379385,0.8853413578625572,0.7563968753181637,0.744542651809682,0.6730017491384334,0.6682784301262389,0.6162648510164654,0.6859381473226713,0.6552010223363299,0.7553805549668658,0.6874377192498512,0.7545725872643335,0.6682457235281231,0.8109256266881939,0.9475577592670241,0.9088020956646407,0.9065509895748407,0.974982673814936,1.2215311649630103,1.6371922832301802,1.5057999308910341,2.2150609970444926,1.8789614582186793,1.8537422120114078,1.691839922079764,1.5865974385537776,1.7550172427301662,1.5209937515814955,1.4313367020245475,1.3510755096628713,1.276174712518392,1.1706014441718633,1.0380335437758577,1.0199071828300128,1.0503197585491604,1.0069781625404668,0.9465167418994223,0.9794709312649292,1.0285432145865259,0.9194965700940785,0.9861449471625687,1.0098860903773774,0.9943516653515991,1.049277103587106,1.1116255116904126,1.2423148057952456,1.3415535221969708,1.1672653071848633,1.456363943089597,1.2648943796319203,1.2730871937181336,1.5056998307784335,2.127330980774479,1.8913783526694659,1.4704645351762753,1.444401917931997,1.4190659215952464,1.3767140664597795,1.5745506803961267,1.6899243741132555,1.5029299202766533,1.4968597578668448,1.9637664030988597,1.85080319566037,1.6484620452337877,1.9058102255521308,2.2151506174909272,1.9759834907645726,1.868138982636675,1.501766674861392,1.3219486824564204,1.3336409408142584,1.264597817542329,1.2875262907010492,1.201614467518711,1.2793102345528844,1.170693960429984,1.0761942378618476,1.1009887839036983,1.1178266277842577,0.9600567736543004,0.966202486342511,1.0626198246171994,1.0028918865714604,0.9480723211175897,0.9791709530422866,1.2193543898004382,0.9180871481312509,0.9045923119657432,0.9448154008792516,0.9911333192038194,1.0284041635135825,1.1365533150465699,1.2054095339325517,1.0819510957245309,1.2264999908126348,1.4134446079783451,1.37656489644953,1.3693550851233933,1.706020838077909,1.8743403537711694,1.6034257408446477,1.7812163706452107,2.0419111517996615,2.104743013044007,1.9396799483011438,1.637508262929003,2.3332679038792836,2.06910809736305,1.7667244979807077,1.4746677870670868,1.221747072920566,1.1110479452694697,1.3499333036262022,1.241016768609583,1.4925603638668836,1.1766186205369855,1.2153168366393525,0.9573571296941485,1.1751848444587825,0.7395986397293505,0.8824311568942017,0.7556288371394781,0.7013223538034665,1.041608774809733,0.7337005331248749,0.7094149249153041,0.8333580537160796,1.01673393614565,0.8169079025905579,0.9214576752223527,0.9025076152140289,1.3791706934314056,1.6346885569561167,1.9755287279442721],[0.9907702434111113,0.7572233554339756,0.9921173049512735,0.4072567355073457,0.5758484162319336,0.5397109601902079,0.5436721909140654,0.5859259874962252,0.5693338000766044,0.5800268383523496,0.6155258165705074,0.6420697240029449,0.6903435865436943,0.7285521581317209,0.9490228084294299,0.8590979164130752,0.9184980331642341,1.0540230608698768,1.2763247994496933,1.1321642516635322,1.2876078384071685,1.2393701468574019,1.4675893320702347,1.5233382339901804,1.3842526504470787,1.3090880622644028,1.0756686697362432,1.0905724593452448,0.9805966089182481,0.8142390782525584,0.9511211714293452,0.7985380395279631,0.8436659830873672,0.9081584610349163,0.8851319533177975,0.9360005393979358,0.8476409244970349,0.9164188333210286,0.9148149022444171,0.8306056113643124,0.9854545209324378,1.126127528624703,1.060520763210713,1.2810832186461967,1.6602897398958933,2.2223907357916133,2.7153751952057887,1.7339844961278368,2.562475560416668,2.9268363084504005,1.75176191082562,1.9805932923877625,1.23640964032875,1.1395983360394908,1.258301746696109,1.0988225317906404,1.2178802641755602,1.1293590646751184,1.146237982867801,1.6284547657578867,1.2958616855136653,1.2413452704731245,1.145578875354038,1.3541419487945843,1.2357648844291884,1.1645186033487684,1.3293616350574327,1.1866032685865515,1.2691405328552499,1.280665713549352,1.3441344715089736,1.5264996825028356,1.3281462822176322,1.412458539145595,1.2199644538415784,1.435922515575207,1.1531435682401765,1.0967740523727418,1.0384438930204392,1.0696602289770736,0.8775577454706,0.8925490367735043,0.7884621710100432,0.7267321294429117,0.730438721347445,0.7701498833331882,0.9190010459963815,0.8668739949514418,0.9820041356884054,1.0164690532318135,0.9959905001871643,1.1450034532806297,1.0975445141545117,0.9563796625553951,0.9138761566919745,0.9866921534653523,1.0453511964495337,0.8167373391545218,0.7174746157701829,0.6419605509671906,0.6718897424544261,0.6147822463411361,0.6090597729214692,0.6207624536517575,0.6243448206895461,0.6640655695911221,0.7992779042384559,0.9619060105990858,0.8755310531176181,0.7128217676311295,0.6628402234698111,0.6006101346690941,0.5608896497618728,0.5591459601891142,0.6744295693599454,0.8351885662648102,1.0614621337353647,1.7852924384627067,1.5326589593522812,1.1884162549030999,1.1927096870711005,1.0458803404119343,1.0516197061772223,0.651588333862604,0.5154521711749329,0.5319024384500038,0.711319887446533,0.6175560064808465,0.7277947323178778,0.8362565285345657,0.9926995463721903,1.0572174764194118,1.1054004537069826,0.9345256795066718,0.9428850135066464,0.9551083934934504,0.917623084854607,0.7881541115277233,0.5335117791582333,1.0128176577834878,1.6182260199910978,1.126248247693855,1.2452317492865927,1.1147907263828436,0.9637313802375382,0.8436431726431304,0.7746320079283152,0.654810836730067,0.5542762157608283,0.5572494023073079,0.5996564503139628,0.586975519793561,0.720414227286233,0.9154760398228716,0.8867427847353688,0.6136139058264876,0.6033793655097259,0.5402513162665804,0.6159865868442115,0.5777249112732132,0.5518464486399451,0.6883623749239887,0.7285647041740316,0.7279576958763564,0.8501241550820865,0.7950589132160413,0.7990321561167609,1.0143106259768335,1.0695338719620933,0.9048620557833097,0.8204570555135694,0.6946727070456307,0.6708570430781934,0.6072341603602787,0.5980597541721385,0.571987741670222,0.6199499386019488,0.604630464762257,0.6665243152370134,0.6283089136965669,0.6754399203232714,0.6477926501398151,0.772011967610357,0.8903668330588935,0.857802215188011,0.8222571783515198,0.8621259388883515,1.1043940551074507,1.5544669925639467,1.3982669225969553,2.042940957436479,1.8072938423481928,1.745871087033067,1.6114290596392107,1.4863306092700852,1.6091981728904794,1.443215673151901,1.335631061714817,1.2599665369111426,1.2491737131255947,1.0887840275123062,1.0060507196524684,0.9883277064044398,0.9659535184477122,0.9239686876817621,0.9120331246983221,0.8962949735644444,0.9293246675541257,0.8542042845436573,0.9182373653073632,0.9032531587024757,0.8829171085304495,0.9672860185533445,1.0131528556651486,1.08939771203261,1.1610529654002582,1.0057959150162241,1.242385133789036,1.0926773298733066,1.0846274434020104,1.2750764315572332,1.9259018635067082,1.6579824204711606,1.3136925068571168,1.2585435009604733,1.23013330166799,1.2385077606219024,1.3712390839184683,1.439481794022566,1.3253710257317828,1.322737445265085,1.7201493925115345,1.6112220127433805,1.4502152826572108,1.7013288361716572,1.9148208759236411,1.7287997204452137,1.704479714032067,1.3543153161724149,1.2254396538862762,1.233419057601364,1.1912256140543018,1.2505878388217513,1.1802051279198753,1.2983822044671889,1.1556708183640856,1.0512693886767372,1.1195723761732321,1.126757980809607,0.9423004010208615,0.9678930823490857,1.0762694607268561,0.9875414032925027,0.923602147763424,0.9681582188126303,1.1879151118619522,0.8576048888569584,0.8278364043068229,0.8431858585920157,0.8903283929693174,0.9456998122263172,1.0175131281150478,1.0316373117097086,0.9548437094016704,1.0772880528298339,1.2062621670744196,1.1890160209207439,1.2016565270114774,1.4593291645920092,1.594048231161159,1.3908555744273918,1.5562131616870563,1.7500171311043622,1.80416199996338,1.6798609904233632,1.440162934861884,2.073026084263243,1.9265621608800505,1.5364135703964967,1.3086236387418146,1.0797338283586873,0.9786989042693608,1.2273658648014143,1.135393108321855,1.3605960207262693,1.1157410837698047,1.0932613293760025,0.8976671651765536,1.1007869718879344,0.73560133465647,0.8810376013527649,0.7350250276871935,0.6862122754981468,0.9570508224307829,0.6885762948993398,0.7060766182412592,0.7757293827147521,0.992632646733857,0.8548305976829246,0.9409319953611393,0.9448571922809357,1.3558931888808714,1.7425914201931247,2.09529516803155],[1.1203567450573226,0.8216807744043128,1.0381259675651886,0.4021727052525244,0.5743061706474861,0.571498367569638,0.560177216884127,0.6009100431183807,0.5756034688989887,0.5676275330450721,0.5939278766479137,0.6166922979447653,0.6612248542472914,0.6912497185927554,0.8892030666155846,0.8151186219570856,0.8813570502113554,1.0229175784530458,1.2764405459236972,1.1305907481376987,1.3118363230202088,1.2742134345576472,1.54653770671209,1.6428089434699078,1.4540567022063096,1.3472818264742175,1.0868212794242906,1.0824911413984915,0.9505824648904957,0.7786043586865482,0.9069924239430304,0.757962131359779,0.7945915987089567,0.8583044779246436,0.848415832801637,0.9022675682878329,0.8186555306347334,0.9102048057236258,0.9170522865387895,0.8613495244067376,1.0195076484005015,1.1424730022798453,1.0882310330383778,1.3064340702263373,1.771980769772914,2.35507030429442,2.896147196703695,1.833374685670542,2.5315032348959017,3.007376445991069,1.8299431869660514,1.9881703155176285,1.2558838611831387,1.1262397617115587,1.2976437772375644,1.1120620390748206,1.2335364296850435,1.1446862216007119,1.1488790293320796,1.6255100515334193,1.3233128967522632,1.2559219522813982,1.1331455273258262,1.384175315026278,1.26235648994675,1.1728574475235507,1.329650108511844,1.1657125788605427,1.2582202011740269,1.2372547417555655,1.320709357990311,1.5025737181035006,1.289784314521898,1.3921084120954959,1.192076074796398,1.3833170270451758,1.1291150558505239,1.065983669203066,1.0143216208913088,1.0600197923571157,0.867967996555328,0.8956431792836486,0.7672189837419081,0.7370920169382087,0.7307452418233557,0.7631288005118417,0.9071211567862556,0.8448783870327324,0.9642925057818398,0.9871231456223435,0.9576439934724126,1.1017603213967828,1.0533111703246287,0.8977939069316375,0.8571404923337972,0.9206335017049355,0.9964088833857504,0.7670629335134993,0.6793168791998666,0.6191640428658925,0.6445097665224485,0.6442185655387577,0.6175673487178897,0.6742981115985488,0.6768567310852822,0.7116076222858914,0.9039779250704705,1.0703693217466312,0.9640515661323378,0.772447976110381,0.7211937447646534,0.6308992220915998,0.5851406658954234,0.57656667565316,0.6688482967733433,0.8346986369864035,1.0522257149975185,1.7718572865181275,1.5260702886417667,1.1686275133242638,1.1636634638933254,1.0155392451956247,1.0213953953565753,0.6467425913783983,0.5313395107870661,0.5468254819902006,0.7561270463380133,0.6479254935884715,0.7810583535279167,0.9065927289633994,1.077410163684687,1.1815077258667854,1.2182961894251172,1.042293174804617,1.0129070394994957,0.9806123078410611,0.9570582190948119,0.8182851365553541,0.5456273786292182,0.9843308797743332,1.8750713173378453,1.261197849666301,1.2843473183190461,1.1673838407119324,0.9988016427788251,0.8445132854132272,0.7817287671335633,0.642525996212831,0.5629359142422705,0.5686884712621141,0.6448332804632942,0.5964677405171922,0.7691051884068474,0.9388540813636009,0.8323522061909727,0.612105581886459,0.5895795249075306,0.5752456178859792,0.6176209175408174,0.600621231602473,0.5731644404649404,0.6813031580833073,0.7482551810789048,0.7364052862073537,0.8915766609067178,0.8708001634018993,0.8576348183107839,1.0856725583379647,1.1127565691805292,0.8940076408727016,0.8383157085369473,0.6961298056768068,0.6869351429697682,0.6209160455058146,0.6090925946669865,0.58540962588492,0.6189631248325669,0.6218920825186806,0.6729462349064591,0.6547639613325612,0.6951820213471387,0.6904984116593119,0.8208226024734787,0.9415300652946209,0.8949800231684806,0.8558264269729243,0.9124339366041292,1.1426354268766719,1.5262891236577125,1.4172851334178893,2.0777357650781125,1.7746050245843292,1.8117306646512266,1.6855767355879834,1.5990175309437729,1.7563407870561614,1.5612164132341702,1.4767852580063758,1.3883389037439573,1.2975188628075194,1.2282017180068794,1.0897583184404604,1.050446899309773,1.077352506457122,1.0503133950092671,0.9554584693221493,0.9495701318116675,1.033217422887236,0.9279159838042066,0.9363439927107261,0.9647420081236893,0.950643815346897,0.9603732652480158,1.0186261114464314,1.1429731569228605,1.2484186616702464,1.0931361640074497,1.361055681024341,1.2232105506540663,1.238073601619235,1.44592109183104,2.06555843666557,1.8562355418018173,1.477370950554267,1.4647485450378424,1.4518210043888762,1.430847872943913,1.6001766995761932,1.6712895387445836,1.528004873588986,1.5241819296589503,1.9261388643242718,1.7978891939269934,1.6394693169828896,1.8907843777732798,2.1007733282417966,1.9013213090858867,1.8468909545905743,1.5199528357281262,1.3900304151970535,1.3958654371854624,1.3364637593978073,1.3625312226373132,1.292506846573247,1.3557208962988558,1.2401096472463025,1.1610297348603593,1.1612322908760633,1.1390682640875933,1.0037024610862364,0.9879433477353076,1.0302100067784916,0.9835686910704229,0.970763041573605,0.9615978198441756,1.1649939193759502,0.900548017979511,0.9186802796955922,0.9746712247258387,1.0423377098070197,1.0884805522794594,1.2045051078806739,1.231847451392966,1.111298921567785,1.2685575282859483,1.409601847567695,1.3661501269618912,1.3748284022066009,1.660648011857056,1.7687147928770512,1.5403419337915563,1.7165516504692186,1.9273093872302276,1.9485574679940607,1.8018803404171224,1.538747941632942,2.1417345066774858,1.961951761037143,1.6376345646444295,1.391046257611696,1.1780494431710478,1.0406013049039982,1.2951429050159886,1.2142446564200975,1.4192166808571782,1.1830173365378187,1.2031449739732945,0.9403350168139025,1.1851496369913512,0.7652613344564233,0.8434315514448049,0.7898855774298186,0.7634864292815358,0.9117910932715135,0.7027419989050852,0.7065305150559833,0.7505657441697516,0.974578521918152,0.8908637501816594,1.00119049762519,0.9231649999792942,1.3624496137807023,1.7639484535193657,2.1513514810870085],[1.1277428927777913,0.8126924670624297,1.0358844693861156,0.38271067841086376,0.5688175632293887,0.5474256737489727,0.5462325635686432,0.597456008470259,0.5721874257221273,0.6038703933958283,0.6528150479588261,0.6774488951075218,0.7470890351740189,0.7778775285007482,1.0299620189641931,0.9440816311649929,1.0162396082533636,1.1973419866575146,1.4705706824517704,1.3238491654208426,1.5326895898339923,1.4922115305044963,1.7673318699854215,1.8466250710733074,1.64023233390999,1.5470406344980714,1.2533371067280572,1.2323185176861078,1.10690410314823,0.917874584428118,1.0823208794091002,0.8970894197635414,0.9434096291790339,1.0490484796460053,1.0174745151347113,1.0833045298724742,0.9738733956879025,1.0725750840976773,1.0815311476444607,1.0221997049763747,1.1841256387012624,1.360847126620145,1.3261946878269193,1.5321212911921935,1.9241633600665942,2.409860323367455,2.9863136965177564,2.0018700394502593,2.5551564915438343,3.035504997319603,2.0174681704167576,2.1219163952246958,1.4784979499100688,1.3116780276043802,1.4660787159749067,1.3532435783090295,1.4663208302439072,1.3562523651874372,1.3777622095094095,1.8815774529874836,1.5585582547883599,1.488013288389613,1.3690269432955018,1.6397056948916262,1.5027592016139033,1.3865395085335628,1.5600133441944706,1.3821995374755847,1.4713387524070454,1.42965207816226,1.526328315513211,1.7500706431283544,1.506920500012739,1.6145849328714814,1.3961025155230788,1.6207534881555559,1.3607674439688486,1.3010162755721573,1.2400472279888204,1.2885853085595749,1.0573813266787164,1.0729700677049334,0.8912125569984611,0.8985618717963652,0.8870762002052541,0.9208502405296806,1.0883545206323184,1.0043704793205066,1.1666015708672155,1.1792850356731963,1.1721198922842266,1.3198838395073835,1.2566482944095505,1.0935399789189313,1.027395637523572,1.0905533082876298,1.1255051454070217,0.8895519886884897,0.7681666077508243,0.6622723581557419,0.733472383891961,0.6578031257410284,0.6889658304394443,0.6932333955410024,0.7150550479730384,0.7302028135288817,0.9192668378300455,1.0872860938227118,0.9687695012920537,0.7733531801318859,0.7107926141478138,0.6498238521944582,0.5941298211337118,0.6084638350658238,0.7297256748808729,0.8781727526802505,1.139435777441017,1.7816261704441123,1.7071180827695163,1.338460885479385,1.2985711033953915,1.1131612751319455,1.0742535116984162,0.6797359998862068,0.5452341441345556,0.5676577412903668,0.7321605413990103,0.6527830848329111,0.782645674653392,0.9303599001655637,1.1021056947538077,1.2227340739203936,1.286327546752209,1.1060028470175662,1.0692508815797845,0.9937291671360645,0.9561971303972504,0.8347653895059264,0.6511638276131515,1.0324456723098412,2.0253870075819935,1.3322633762645693,1.3799582674143402,1.2331637199892114,1.1232045629371257,0.9618396655445988,0.8614982690349716,0.725500394911547,0.6166812153114337,0.5966449958920469,0.6333934151138224,0.6023739179603846,0.752538367364903,0.923576588463211,0.8626430222610274,0.6325592182785268,0.6366729129124631,0.5922577211294466,0.6791312083334863,0.6465791121435593,0.6358369057878391,0.794390456640921,0.8361712398996002,0.8680228064221903,1.005532583242408,0.909176555956761,0.9435755896662009,1.175008814943,1.2095784234737663,0.9632741936476537,0.9211892849385998,0.7828577886936988,0.7779082252908246,0.7195561557385867,0.7117563934825855,0.666948200737086,0.7077538341731141,0.7006128168231459,0.7819803356879209,0.7529333360689983,0.8143371539880018,0.7429279366107856,0.8940510658247058,1.0259700319345728,0.9669358493207878,0.9596240470275675,1.0250125299662343,1.2615943800199807,1.599433691289027,1.538168352154339,2.278705766106602,1.9117257022217733,1.9394303195202116,1.786010618489012,1.703114899715293,1.855489953046044,1.6135388177014247,1.5401605176711772,1.4311862080314177,1.2950861994074887,1.266650603751762,1.0977387309531905,1.046983214551139,1.1001356301961642,1.0729375560902346,0.9534550606557379,0.9612924483848103,1.057933734586467,0.9343931946702411,0.9407143270948206,0.9847538398180824,0.9701922258507535,0.9671132850362104,1.0417543056078231,1.1811758862095236,1.29607397801175,1.1390124833939508,1.4409844183348843,1.2859257758797034,1.3079981352137748,1.543152007879574,2.1601628128971897,1.9760410478703991,1.567080663348906,1.5692839419226765,1.5620167216593712,1.5101208461822704,1.7295401173009102,1.8122341680076754,1.6284070099305668,1.6288692059298417,2.0791079340271774,1.92861006593975,1.7509537880246755,2.033423150447466,2.2739427348148373,2.0365849941711294,1.945239598703189,1.5942379979044183,1.4560834685907655,1.476471030642712,1.3944017130200406,1.4001630931461335,1.3349387144841693,1.3804071036572547,1.2611704405851503,1.189061342839909,1.1736039409566592,1.1381368501675173,1.0039699807283746,0.9825424290122327,1.0256396260712488,0.977490525458374,0.9706265711990619,0.9553971911555008,1.1622740046917044,0.9032152588072765,0.9294970060126007,0.9992323917717879,1.0763483762692958,1.1180757469679223,1.2702300085598073,1.299456937652021,1.1543949018464241,1.336790452483573,1.502898182171924,1.444040560986819,1.4478663211281089,1.782706540432468,1.892767209024567,1.631114314597613,1.8239010396572977,2.0797160084739397,2.094737536551284,1.9193985809583212,1.62178879510778,2.255245236702606,2.0237198201243003,1.7357349738302388,1.4582519544116925,1.223943937563349,1.072013848728629,1.3433723278785654,1.255809818296635,1.4737028625869473,1.2153410956654545,1.2470105615681284,0.944639262959652,1.1882203131590772,0.759142538207675,0.8409565521782332,0.7766857545470728,0.7530225833257737,0.8914499968407201,0.6869073779851878,0.702109738261919,0.746855145845518,0.9720492727060719,0.8582655266355435,0.957555532319556,0.942256256079828,1.3254280722038396,1.7886616103111483,2.152380856889474],[0.9591944127518601,0.7577889831159674,1.0120947241754288,0.4735858725725868,0.6146199954236362,0.5573893382338798,0.5896966866500691,0.659626427713575,0.6261284442120363,0.6826577266013825,0.7431127511173242,0.7754080163479389,0.8440826835826031,0.8520714202937354,1.1131663779182432,1.0349993882825794,1.0890012194060437,1.2522149398665405,1.4839934023060366,1.3420892057346994,1.5088388050824304,1.4522747045421944,1.681427186788453,1.7223031061618852,1.575890737959763,1.5162575196978467,1.2645931074041816,1.2738931881880073,1.17024962780328,1.0012934967099463,1.1596271064949781,0.994264120552225,1.0440135499493612,1.1364125333681638,1.0956694779323903,1.1473557724651529,1.0526510583917745,1.1158361989942194,1.1098133223137956,1.0142023223160646,1.155935717178737,1.3466767080372233,1.295533666354828,1.4829489521732933,1.7994540849079355,2.284331792476585,2.794714774404701,1.8720422080632912,2.579277228039193,2.9342781266298448,1.9067502261876685,2.0814083138661013,1.4381887808596105,1.3181740087630567,1.4322468547519083,1.3203859999793701,1.419663497430596,1.3385368259695243,1.3600687538436305,1.8394837149384706,1.5177553837095747,1.4638350992357814,1.3760881536294183,1.5949636232741522,1.460526049355644,1.3804419957416976,1.546734289297873,1.4076831922923636,1.4785200485308496,1.4644333178651434,1.5425847208019066,1.746067250144574,1.5243705180943872,1.6104445215147634,1.4273679565527544,1.651048613626931,1.3859278838433868,1.3412369390489516,1.2804194476559292,1.3122651608392693,1.1057850155231796,1.1004517790921111,0.9647374868664975,0.941963784186187,0.9207724411126201,0.970628705005787,1.127550184280438,1.0704669587457973,1.2110988565352194,1.2421936143069645,1.2302638625122302,1.3725438223519881,1.3232293301752822,1.18427449987727,1.121315919298915,1.1848097986094261,1.2196674229466826,0.9961298902118904,0.8785138426656176,0.7675012605802285,0.8393364951932045,0.7221444514566722,0.7715403352721677,0.7270587918577625,0.7314746693009092,0.7439025428251078,0.861696946513394,0.9983049789198102,0.9000747251759406,0.758552880055944,0.7000403406594465,0.6930038450571595,0.6540669719476662,0.6752175368580617,0.8039436706651144,0.9231709358479181,1.183442452973982,1.7834234950007146,1.7117907858307715,1.382286774736879,1.3325187743845839,1.1613105232911287,1.0976887160889153,0.732248159206095,0.616967098452965,0.6337445574579806,0.7240350387462087,0.6821758880709639,0.7675544769126893,0.899647684819794,1.0342655622188308,1.1072238536808847,1.1934173204277918,1.0293389542233735,1.0406647435126404,1.0031574084437018,0.9505769464195531,0.8568135428053237,0.7381881394555166,1.0717286504170533,1.9601230025355456,1.2537952209819887,1.3791365133796956,1.231843082722547,1.1334186538056452,1.0109579221049827,0.9115956492393575,0.8038688159137685,0.6961501034823916,0.678192637002073,0.6686515877928036,0.6912021580689864,0.8005533445608244,0.9637260877244153,0.96166544855695,0.7252260282441856,0.7385972847286514,0.6629745593705085,0.7671194605649908,0.7020538315515512,0.6876621992105696,0.8602461629602072,0.8652098289840333,0.8985969788830822,0.9799143664316918,0.8648343235362957,0.8929038082284271,1.093766776192192,1.1717880466396289,1.0175033123528583,0.9354119535183498,0.8359072958464447,0.7956217032087408,0.7570050684944015,0.7611068229235736,0.7256216245166114,0.7796639899958814,0.7543102765614189,0.829506955993948,0.7845066056956747,0.8364842308966601,0.7578080974512219,0.8915948777672543,0.9908439571663971,0.9479558699716664,0.9418071921176802,0.9890590790795938,1.2087862164575518,1.648461405468743,1.5144447354196142,2.211518427529911,1.9541278274146103,1.8450560971379173,1.6964690185724243,1.575035481412024,1.6655203193946198,1.489912140932119,1.3820073704369713,1.282004060562996,1.210527957756171,1.1024035814581943,0.9888888503287895,0.9529364799310014,0.9517970107664415,0.908593210308387,0.8778329385275047,0.8616285656674159,0.9110968489224736,0.8211034364299366,0.8801638381598057,0.8720705435152692,0.8488530106181243,0.9311314946661158,0.981771201835118,1.045954520277934,1.1226953005663158,0.9836063081751005,1.252179798993528,1.0910457495460266,1.0784074227615534,1.28722182070245,1.952500083759893,1.705426476959953,1.3433621278622672,1.3081420434080036,1.2958316037092417,1.2887614751834275,1.4512924409729344,1.510728678430192,1.3831283608598925,1.3946307386193382,1.8167759442757536,1.6720478136682675,1.5129485266809317,1.7986014080313697,1.9999915073578027,1.7954637007232594,1.7516473857710817,1.396568560954954,1.2799044485757647,1.2997896790639565,1.2384829929115988,1.2794550146424175,1.2173314755609617,1.3322664156868012,1.1698593549856011,1.076351770423029,1.1433521911970623,1.1158108100631827,0.9230203369584616,0.9533527420680356,1.0645963741610096,0.9536527174030067,0.8993271351144599,0.9427091446227278,1.1490314127638344,0.8168169996660098,0.7896728200760604,0.8153510490803186,0.8771874881897388,0.9349137472797742,1.0497992448459703,1.0386288350366548,0.9474474580159293,1.1007662831248983,1.240265808490345,1.2104518846671406,1.2312026151480662,1.5152819155428872,1.6328351030338446,1.4180188414113886,1.6004018268492863,1.823121441692527,1.8565112778775141,1.7164635410889313,1.467227779530559,2.1107571172655804,1.9684078189085614,1.572789083580294,1.324417522096057,1.0798499171271518,0.9450996969806122,1.224533585788878,1.1478083818745703,1.3791984667869575,1.1557618315986895,1.1089817972320863,0.8650400588353819,1.0691155498128513,0.7296152171327369,0.8511538607966423,0.7176478519052739,0.6894189274502642,0.8867724120624334,0.678402790631091,0.7359095390330966,0.7636843323745686,0.9746578400700103,0.8629028285341884,0.9078843999973676,1.0512540779041064,1.318802641180772,1.8908005839151918,2.255725477089745],[0.9558327723546775,0.7756155859763335,1.0526111178856925,0.4999116118005328,0.6667603971729801,0.636210213686959,0.6345750706500751,0.6829039690075162,0.658058670960739,0.6668928509820553,0.6956828484103472,0.69968546878928,0.7516901331473421,0.7470165586365686,0.9161738561549948,0.8837074586239685,0.9332649012626036,1.0559802716630005,1.2799899767607616,1.1686249543820708,1.3235145979102054,1.2904643610674544,1.5445229018479196,1.6355191031102552,1.4704659477785846,1.3496971734998113,1.1225334025106108,1.122047279492272,1.0062836034419285,0.8633488257811808,0.9694347969382525,0.8518164003261117,0.8816976975796298,0.9383372794871067,0.937213184516548,0.9793262139446952,0.9170327576411584,0.979352838818971,0.9899987694524752,0.9340337442294602,1.0690538228958548,1.1761000938031823,1.1231662421363666,1.3266535547527118,1.7554330513994836,2.361627864709951,2.8608354796750377,1.837546216045127,2.610103603300341,3.0445851376801563,1.8448621318368206,2.039790632310779,1.2901723357211945,1.1749894236251779,1.3435339264943478,1.1526442053843544,1.2683189828972863,1.1981280415783195,1.1973632269821661,1.6313081188390202,1.3332775849192338,1.268135229232779,1.1555472461247094,1.3938902217253797,1.2638867907450613,1.200593798727447,1.3264467756483953,1.1832820187939044,1.2594349080902136,1.2135790088403138,1.2935027165933397,1.448100824755833,1.2548613251244645,1.376611673916453,1.2104659910150477,1.3641122837965187,1.1542018532845186,1.1120086352358203,1.076855081556884,1.1201096432479845,0.9524920779676131,0.9823369625456468,0.8499996688588054,0.8421944041827399,0.8262633657663866,0.860043847192223,0.9810899590158538,0.9347846110004034,1.0317758456132666,1.0601991515435585,1.0144430995177047,1.1332616880014248,1.095680534332914,0.9595888576581597,0.9191868099478291,0.963414871108198,1.0474719125066674,0.8451289899165866,0.7708611359598433,0.7022135115350568,0.7449355831290028,0.7095786677234166,0.71834271753498,0.7299078708668829,0.7143184177157083,0.7361934145966021,0.8795922457445132,1.0033457150575014,0.9243237078896502,0.77486190692652,0.7350736425051958,0.6942706405893228,0.6687531085659972,0.6777581142125217,0.7658457761668777,0.8932228458725862,1.0864081904241756,1.687607766211519,1.4876185226678025,1.1848743723332922,1.153387716574095,1.039962840798797,1.0029111457955884,0.744823021385562,0.6576288154178986,0.654035792335247,0.7623583569384824,0.6917858910672908,0.7845385132430008,0.8966232700157792,1.0261939961395345,1.0877469065405811,1.1395116887586438,1.0006041610776046,1.0028656584205946,0.9747826228191829,0.9567532173883033,0.838408767675139,0.74355989767487,1.0089983585179618,2.009125670834537,1.3399312199962845,1.2964452767674757,1.2186713498659134,1.0576104824975903,0.9151599835221942,0.855274240084589,0.7418896304719791,0.660918558241526,0.6677089198469125,0.6931027231505545,0.681230867133408,0.8208143781970519,0.9617785768575925,0.8924187203708803,0.6981320155265076,0.6948174428068424,0.6622059109332536,0.7235595167172524,0.6764443118193393,0.6554744341980865,0.7708622742513193,0.8219341541117753,0.8194207392380196,0.9588600997231828,0.9256605455138692,0.9034678430383589,1.0951224425897774,1.1259662440641733,0.9724218093602794,0.8924793213814892,0.7669396389189452,0.7583905795040786,0.7037152107033025,0.6984483738720824,0.6723567809318558,0.7139115838721495,0.7037945183837117,0.7595266943185791,0.733883767192129,0.7767418066781261,0.7322830388713996,0.8552079450770614,0.9510412808465565,0.915462990113406,0.9152601796247818,0.9722120397646493,1.1691072694526468,1.5702864502575578,1.4392029284854326,2.080149204395473,1.8633804314467883,1.7689128299134091,1.624676949764114,1.4956231065327728,1.567474924205947,1.422793835744439,1.3325157391673232,1.2595724454317139,1.209060905876589,1.1171902246022518,1.02001356773457,0.9762521852848262,0.9762254112729098,0.9472116224299437,0.9107271629181797,0.8871163887418752,0.9415885951103016,0.8673181419217475,0.8935678980239101,0.8968487707621259,0.8778300460250811,0.9189210004434345,0.9787200156110046,1.0461245444473926,1.1208052222636984,1.0038752002585734,1.2452970467099396,1.1055996631486298,1.0955557178155753,1.2765487834461262,1.9409585520630734,1.682568731945461,1.3362725376052422,1.3036079669101068,1.2892758035072018,1.2958519065266838,1.4252702247095703,1.4574240612515197,1.3576025938327883,1.3676815380200475,1.7277883822754014,1.5742077011148645,1.4440278733954837,1.6989869663089647,1.8343728753933908,1.6739098349754882,1.646996528136701,1.3593613981494976,1.2671607446328763,1.2941262754408729,1.257120631654588,1.302305849833299,1.2526976058651378,1.3563435623147955,1.204664694161145,1.1311938793779468,1.173572936930511,1.130385739011868,0.9588630063526173,0.9703817909819941,1.0426148753429196,0.9569813373917387,0.9327438828545357,0.9495286634933872,1.1366157646480004,0.8502051802207446,0.8494981064710524,0.8840567308365183,0.9366462028811505,0.9834247026475675,1.0897297235846792,1.0719210273982214,0.9878747029115885,1.1204495210041918,1.232379068110587,1.2138417004146533,1.2264705647550052,1.4573879326060302,1.5554449751308483,1.3795888465059918,1.525655241085527,1.716954987092547,1.7444446801553575,1.6316477758781014,1.4343212871391509,2.006468164208352,1.9442188924328416,1.5478151818335029,1.3187179782542666,1.0990511853776195,0.9603647150092854,1.2290970755799395,1.1755665852580284,1.3699875711970553,1.20454788437127,1.125899536005445,0.8895364946260635,1.06521825918339,0.756409978843893,0.8449301656123098,0.768054113021176,0.7629193891010652,0.8627997907361651,0.7028597543751335,0.7608009347137478,0.7596018857537811,0.983652425782565,0.8826303209949485,0.9305852788449329,1.0909149063760795,1.30293193572163,1.9322774903836377,2.290378338420388],[1.1761797018367914,0.8968935920970714,1.0810483791844254,0.5373961099043535,0.7100421020679428,0.6528741997230648,0.6617608351763272,0.7238059042972399,0.6729834043657531,0.687129204411072,0.7176137526336499,0.738081079176406,0.7941711676643445,0.7854303460390263,0.98177721508051,0.9355433128856775,0.9924184137375514,1.1303384712217186,1.3776977320987374,1.256754828847646,1.4505267510348103,1.4255740409774893,1.7297188521500104,1.8570744441128475,1.608944039713597,1.4750683571189465,1.2067683029524523,1.1893291261360437,1.0688742392388062,0.9213189576634776,1.0373281423637033,0.9089676432655834,0.9371378621731515,1.007995637789609,1.004333862265341,1.0482907128745373,0.9847424524948604,1.0619163291797742,1.0649747064376798,1.0198294675000572,1.1600127185747375,1.298227091601261,1.2528292498633393,1.4407812511675873,1.928733211136301,2.488475978859139,3.0892613830893954,1.9885643062914111,2.4906144361391274,3.05858308368689,2.0020440141886393,2.0483825219652525,1.4168677031451098,1.2570190751595611,1.471991727966567,1.2694525935832228,1.368686557137367,1.2989294772801643,1.2899836161692635,1.732572059595618,1.460030934308494,1.388715702082503,1.2723939709073402,1.5587911124743317,1.4096120433350334,1.315379180372872,1.4508144112552053,1.2825201060734566,1.3645535909857867,1.3007664736250624,1.3981765954295502,1.5873309044810653,1.3586512235865853,1.481212452602093,1.29867410839664,1.4711085464036415,1.265500017482993,1.2160508496660236,1.1710106121917565,1.220279545347756,1.0419190424419966,1.0726980989557182,0.9026155532979966,0.9428864333138036,0.9111222584970866,0.936267177669497,1.0672102659791278,1.007498902998256,1.1185751504958759,1.1375867448036459,1.1054060088229132,1.228338741855866,1.1797132005526072,1.0331351496443708,0.9845371977081202,1.0250906155920165,1.10777866518707,0.8962548611258133,0.8103401030324494,0.7551713398646228,0.8023432881285162,0.8003560265322559,0.811612281885323,0.840151734417638,0.8398173913754488,0.8554113488112195,1.0602465461230322,1.18932257943999,1.079065579426094,0.9019923762107487,0.8443261186662412,0.7760667037001,0.7211291184519324,0.725966278308094,0.8001307913416095,0.9193867678705322,1.127320347425819,1.707382096813629,1.581047472601262,1.2668463564100747,1.2247277410819029,1.0868222577518978,1.0503255157399543,0.7434360785402222,0.6546771932983346,0.6832539293416671,0.8227754522921359,0.7669131817972278,0.8923168094553108,1.0294333439553276,1.1872565426874648,1.3199876413453475,1.3822913563064982,1.230619859669109,1.1568786579587969,1.0388861613406308,1.0101250594066962,0.8867172607816639,0.8173246227057931,1.022280682164392,2.1685906765593947,1.4774725228165781,1.357396687160985,1.2787859936410375,1.1276692790806184,0.976293155992823,0.9092194563361926,0.7874592182586743,0.7276385467532274,0.7144245640207202,0.7598618517825163,0.7253531388782428,0.9011710055969043,1.0378479342673705,0.917487753872197,0.7563417078227567,0.745065773538775,0.7489156595919161,0.7905440114391517,0.7682117489734115,0.7467207494304827,0.8398306501322353,0.8839523514959324,0.8918569019529001,1.0251218717729826,0.9778083752007618,0.9914946185563017,1.1984895651607856,1.2356371242344886,0.9679618086770515,0.9732863354973014,0.8172938858058015,0.8326085795620468,0.7946329861901578,0.789886114267934,0.7745720649585245,0.7950921407460567,0.8075738498434294,0.8569284192463594,0.8474498280804822,0.872511143822581,0.8482335089723532,0.982099904698652,1.088678561907469,1.0269360517284924,0.9898132874140545,1.040663239522878,1.245143094511754,1.5550930322318117,1.5255746886867307,2.2539714459373847,1.8870233408067894,1.9673841709075448,1.8307195519370434,1.7632632457137385,1.8730476704265862,1.6603013389045203,1.6002103630423967,1.475386720081151,1.3159947878107516,1.3402289593221954,1.1783186282872733,1.1086642689511204,1.1572245579735818,1.1513952210792326,1.011738419746993,0.9803420676220964,1.091540242586086,1.0037494183743487,0.9486420552155062,0.9875413746376536,0.9831329298369909,0.9567793575831336,1.0051120888048495,1.137533532412508,1.2463516863471382,1.116559516148384,1.39339472992006,1.2774677771686587,1.3043070110958703,1.5350138255405723,2.149213059128251,1.9995021616723667,1.635432130875377,1.6463887904404901,1.6469614312540712,1.61020680338511,1.8176270950434115,1.8662966853774487,1.6963529745399755,1.711418913809572,2.1203604494105113,1.9368973732744623,1.7877003208667779,2.0734357841456665,2.240364875105284,2.012701208402858,1.9429939133803964,1.6350362126697127,1.5574972040023098,1.583845117899647,1.5060144851367934,1.5094841886966925,1.4707146406928484,1.487493510236246,1.361764483806998,1.3123281938680909,1.2792651806482143,1.2124595597039696,1.10319856771226,1.0710381341268964,1.0657987900918837,1.0246813491470776,1.0572340591628127,1.0181694919895579,1.1694698474175556,0.9564495474600063,1.0109319334000488,1.0827921745228786,1.1819288860492339,1.2371910417483893,1.3929622366444154,1.376695412797866,1.2211706195152539,1.420749880796473,1.5513561556057676,1.4749481167204765,1.4876200264473634,1.7936670331742484,1.8600998490538185,1.6123692009041621,1.806924511793281,2.038673008875985,2.0063296647912643,1.8294517013288198,1.5602443087011304,2.1083013036416984,1.938992190214894,1.6837990188191405,1.3931727327830061,1.2085615578445728,1.0380542376195963,1.2894795000747565,1.2365869994893675,1.4129646633548085,1.2459935605000991,1.2677554423312927,0.9844658786207264,1.2024313093862118,0.8499816937074917,0.8919623946050257,0.9016444550182703,0.9249199329915173,0.9455059834309071,0.7882735231485808,0.8551902622280029,0.8285666054773778,1.0167853877001052,1.0371262629645004,1.1292962043063175,1.0691997634884904,1.4112385575852557,1.9460474817191047,2.355239720065001],[1.3646490776542541,1.0372779951695221,1.1565306214623365,0.6501819744453868,0.7796192671429084,0.7129163978150198,0.7351201638384935,0.7859616143686787,0.7456756211197955,0.7525004272299508,0.7695954888486847,0.8089012951132474,0.8408164863949638,0.83189589552221,0.9951407389743049,0.9580717466986168,1.007890156590592,1.124321890077963,1.3387963099878846,1.2185711600935567,1.3762309532179895,1.3575075465669553,1.6303698642605842,1.755404657623708,1.540005758562246,1.4072651073063438,1.1839188161950989,1.1905723639787649,1.0791544726479638,0.9417735802643862,1.0202980410765496,0.9254794459072624,0.9498552946460017,0.9823986015124833,0.9956722607923151,1.0323237536367142,0.9934712407428881,1.0550768130454757,1.07526080471507,1.0341944004267378,1.1655671134598247,1.2571936379467004,1.219079757408036,1.4116920403550746,1.9267932587845829,2.5257893374429186,3.1152937302164725,2.005087635383821,2.5513454131347584,3.154545499811819,2.034389201393092,2.1013327334039813,1.3852134206682252,1.2246675471362203,1.4523171850234833,1.2558564440560025,1.3663427402440165,1.2946871374428364,1.2874089509069033,1.7092534941994122,1.4124917057683033,1.3332733928283746,1.2179279967060825,1.46891481887219,1.3413575349641227,1.2556359340828351,1.3768887679853412,1.230866694710754,1.3053958388892528,1.2607974408514928,1.3354765312843002,1.492452814641831,1.3029480710714063,1.427215598582029,1.241640615748132,1.3909099175323432,1.213380579653694,1.1660509429589558,1.1281683248708672,1.1735430274917804,1.0348604985622039,1.073737264992668,0.9244173392196829,0.9262729637067554,0.920829009446741,0.9604331236094054,1.066663476390569,1.0057470207069656,1.0893015042881085,1.1083463665740128,1.0696581510124306,1.1662623187738506,1.1302746326059203,1.0073024076567871,0.9766887923204643,1.0282305917836934,1.1244119378233688,0.9122952764115261,0.8337763910574986,0.7858016864016809,0.8301784138786351,0.817642140831097,0.8351177809969874,0.8221364565830439,0.8077173189885829,0.8451282942800522,0.9822582148116831,1.0828843735480482,1.004771773746644,0.868991833534785,0.8167293944281051,0.7731124414132364,0.7559812800729693,0.7634744738648324,0.850133670110448,0.979607216610592,1.1708215828012059,1.7870304450939127,1.5431069852464627,1.2468118603202198,1.224076411790795,1.1130316389332031,1.1049979955151543,0.8061612081144911,0.7243510700130932,0.7307365131235498,0.8757893307533628,0.7618355472450432,0.842175514908466,0.9292415032818325,1.061138877211939,1.1793397828045062,1.2181305808361926,1.0928091656833028,1.0081771218895355,0.9627573805060963,0.9363815232135616,0.8607661444688283,0.715147724495731,1.1173958419708607,2.0979262891110926,1.4306895994571438,1.3635758323950848,1.3221892999555946,1.14068258757245,1.0082860347405742,0.9612977367139521,0.8314897818154404,0.7566962266505836,0.7600688343143162,0.7713913014595812,0.7835646780917173,0.912376123052441,1.1068079015246237,0.9633816411874365,0.8003157399841058,0.7875987934213173,0.7657836281286825,0.8340340830427143,0.7953630449833188,0.7806202857525255,0.8855517029506779,0.9507442132606241,0.9378140643045628,1.0855179945269953,1.1058523661842563,1.0714141171374874,1.2845610076860463,1.2344265457670536,1.0053566349185932,0.9556523679952934,0.8715710860767552,0.8888382311379112,0.8206908759959765,0.8167196946215624,0.7895619525443216,0.8212921253425601,0.8364518037036713,0.8648985051747027,0.8338705503002345,0.8652778528985432,0.815370537022289,0.8924476950324728,0.9935752392166771,0.9690429397888666,1.005775394501106,1.0844875359185473,1.2820632534268224,1.547513096087444,1.488661922791324,2.1427038079371465,1.7690660012546238,1.8395554609704154,1.6857027590045384,1.6184028148738303,1.7777091650098507,1.5281010072237187,1.4730838071653796,1.3810970379945577,1.2442436048633188,1.2524355894779746,1.1173221896733532,1.0716207757835121,1.102848563479776,1.0996180700096132,0.9806691130863164,0.9667582359488671,1.066218996672928,0.9812321838006564,0.9641656541647085,0.9966207215480322,0.9910656258410006,0.9868320832957312,1.0292507027835318,1.158588170208818,1.2611252992575803,1.1228335000875755,1.3814230561162153,1.2550241782559777,1.2868296969388888,1.5023380303903728,2.1233254710269653,1.9634530443473976,1.5947637223450417,1.5962002667425501,1.5745932052479301,1.5306225358414545,1.7362894168286123,1.8002085768944043,1.6277888209835694,1.6224436993923061,2.0468010702263313,1.8795143951770883,1.708955524415586,1.9707710776346872,2.186769352725254,1.9737758317576684,1.8644455199329781,1.5521566934836732,1.4368126539652726,1.4830374661721604,1.4092558989091972,1.3979243202595404,1.365562031724912,1.3813660001531454,1.2742921528776638,1.2427335963406225,1.2005187512148892,1.1515766210276022,1.0594845551972392,1.0342627871503218,1.042928453244576,1.0178630781556637,1.0300649623684834,1.0051589177836537,1.1875573025312773,0.9607144761500044,1.0067611826330827,1.0681272361663987,1.1553962132636866,1.194042918920299,1.3285815663607523,1.3427559293016837,1.1864809047839004,1.3658867200047915,1.5067852443027634,1.4354627332437213,1.4289000962510403,1.747376017232921,1.8433553422290694,1.577035968407987,1.7605776641388509,2.0007801384420687,1.987932608712483,1.807730086959217,1.5306483127705572,2.111304806156999,1.9273474596564868,1.6838439572617105,1.3913796598292005,1.1914402818577716,1.0614294555674113,1.3144649406407756,1.2329027884396602,1.380311119279643,1.183974032337008,1.2110000947316966,0.9616301680359112,1.1531093489128639,0.8555208175485565,0.9084154449797204,0.9111800569831158,0.9337003666241507,0.9671108363299211,0.8097753942706498,0.9264705760271723,0.8488649271068317,0.9712605881968196,1.2124972226528985,1.3665171639398952,0.9618645552029149,1.6106927631164076,1.9336578998740854,2.4764666285416697],[1.340125916881248,0.9757458197697316,1.1707616901817448,0.5790825845732809,0.7684310738766519,0.7865443787537062,0.7862785277512465,0.8406828441672242,0.8056559848226631,0.8098659252079323,0.849609293186951,0.8761161291167063,0.9270707264375972,0.921472349143967,1.1331751735767919,1.0970624129454218,1.1518254913765973,1.321357726579641,1.5985027887629415,1.481736552653708,1.7165144853534602,1.6978509765378773,2.018625387365597,2.140635557602733,1.8663759268972906,1.728556636450041,1.4230262165856853,1.3768409945280304,1.2492553858183912,1.0912308793647465,1.217580890056435,1.0757137403413821,1.1083547689068094,1.1930139939966573,1.189215982788433,1.2546791891631197,1.1505544183097702,1.2783342665628474,1.2856868570742646,1.2704462237350662,1.3942133506096428,1.5515577049201972,1.5266030489314137,1.7004240108361415,2.165187155043725,2.6666457429916575,3.3163798752942455,2.2562056710475877,2.619462447292338,3.205564781338136,2.325670241160469,2.272275824861506,1.729856037595521,1.5417873817169707,1.6825769475341676,1.6091825466959773,1.6955696777164693,1.560630900589738,1.5919792138190452,2.0663162814618135,1.7531677042321554,1.6768308333922504,1.5406212213282375,1.819093203654773,1.675001187039364,1.5754698949065984,1.7328427944227696,1.5133282181956886,1.5860333612473771,1.5278116471799597,1.618469360572486,1.8399348434674023,1.5966667955909912,1.723996216023852,1.5127887622063088,1.7091724609613488,1.4927674612242354,1.4465354902602996,1.396102672029146,1.4645847741165299,1.291231016525953,1.3000153695230454,1.1161086065223975,1.1651558759021774,1.1538584749449499,1.136481780514384,1.3061839486033286,1.2284663260939783,1.3316039233865502,1.3286661822095693,1.311891877644798,1.4275459227387721,1.377293188435756,1.222031144355754,1.1552510616361495,1.2055855327974943,1.263619702944553,1.0338205029775254,0.9275277326431868,0.8706299247154147,0.9448108971203282,0.9552635606037251,0.9756005671727958,0.9796592422922076,1.027235612114637,0.9971219540032135,1.2442145468618957,1.3854045155971366,1.2366754429574434,1.04453991256249,0.9834217392770741,0.9091643242013714,0.8519099657813063,0.8619035700813605,0.9203782683653491,1.0407819947357442,1.2710773274524214,1.8258431851943875,1.801383487939852,1.445831940018065,1.3853769631664,1.209095628951333,1.1621738163102728,0.8545666281447164,0.7621435310267523,0.8238211911769434,0.9330234978754415,0.9161002147369585,1.0527023782573492,1.19635016001505,1.3305299437701155,1.5191501160093697,1.5721860173171314,1.437383783815225,1.3246064742359471,1.2069301440667923,1.1591928956047783,1.0762217274252517,0.9890300100031402,1.1472190812933127,2.1893028476337935,1.566893208731214,1.5148863547076834,1.4011087642330833,1.3290295965503494,1.1726377190653892,1.0805764700463825,0.9598696812287288,0.8892544872488679,0.8609056178725754,0.9112799931881413,0.8480428091638162,0.9948867215643094,1.1180807412886002,1.0141278333298964,0.8827771883764027,0.8806366005885303,0.8948933150737896,0.9424537887407094,0.9400697243106844,0.9406609913801012,1.051551059308778,1.0826952486321717,1.1223424990616528,1.2513643204934293,1.1821480396852786,1.2183440544088122,1.3922426259863059,1.4109725060238072,1.1668201767030393,1.1831617616865615,1.0572349777667243,1.0837762970635714,1.035860612484305,1.0197599964811934,0.9882993232097681,0.986869855771664,1.020302700687172,1.0933154621791676,1.0652188653499273,1.1093954841296207,1.0608864112437024,1.1951121107380733,1.3102182474860775,1.2366689791946797,1.2148299609609534,1.2790739950834444,1.5067223311113438,1.7374505351616998,1.7607692895058147,2.480071786968814,2.0048702980465816,2.1370319036193712,1.9954422968596721,1.9638547552699857,2.1059330736009803,1.8103196800463264,1.7844227426269286,1.6324442610748129,1.460121636368111,1.5283018198276643,1.3323943110585428,1.2530317109712088,1.3458875201908216,1.354494213338629,1.1798519661977696,1.1904598159496467,1.3314814534532717,1.2164157724720057,1.1600229042542283,1.2330264180822146,1.239557307085795,1.1634809022444674,1.2252797471068573,1.4123799137998547,1.5303454270397518,1.4110337952126346,1.690590045023977,1.5649815635819053,1.6114204778965737,1.862781242028903,2.456863648872453,2.356955657473325,1.9099251056043132,1.9331157140181188,1.947350542578436,1.8518585652847104,2.0922326141949616,2.174746664264775,1.9633350406530101,1.9512647628703792,2.3930057550062545,2.2328260487820257,2.0476899568447657,2.362585182709837,2.5871787963918855,2.2927176615773948,2.166986491575479,1.8480627227787956,1.7546535771429193,1.7695568526283054,1.6851176769771725,1.6592598737845572,1.6266674434324682,1.6070251796019308,1.5088411994727093,1.4665442993464588,1.4046197954675566,1.3396971910893392,1.2778974003430472,1.2429132353703003,1.2167581817602313,1.2014636395147067,1.248181552544042,1.19902900334806,1.3546584757744555,1.169501873007899,1.2441479978848178,1.3268296452678938,1.4291442354159447,1.4614694483051358,1.6355308316327335,1.6611142115492605,1.468423120502542,1.6729792163431036,1.8421977196873327,1.7527473762014547,1.728850194833825,2.104587854407328,2.1817487661084036,1.8809853335193758,2.0762205245602163,2.377841347906232,2.3467150495364284,2.12831478832149,1.8153055015583808,2.366104536374743,2.115642641968415,1.954382157185617,1.6623385831358484,1.4662348506082152,1.2928064103264754,1.5421308081021434,1.4639891522443438,1.6326930536916846,1.4089366017501546,1.4593649780213254,1.1475905812177645,1.3648111224543926,0.9887580363341236,1.0346629690393605,1.0248742427676718,1.0249929477054072,1.0991795860354407,0.9192249867519443,0.9201969098269541,0.935030140652527,1.119630597248222,1.0000805248337545,1.0912431854179376,1.1037084712075507,1.3797827916229581,1.869458607658113,2.2516137049334723],[1.6539347064537322,1.1317109619190058,1.2381353988344692,0.558565561507698,0.7208974576547271,0.7628377456640311,0.7199648106591006,0.7771275166290794,0.7028693343814746,0.6546732507132696,0.6634929522376449,0.7163402905705082,0.7387234962123248,0.7240118401662873,0.8793642615927523,0.8455357282699225,0.9221649564775782,1.0867802347214437,1.36036052423829,1.2522137637252793,1.4761171853023516,1.4660509318346036,1.79256032284885,1.955653254523011,1.680099387112675,1.519072839709,1.2346269793421234,1.190673246135654,1.0448682164880647,0.8715152601303656,0.939110237574308,0.8314533047338165,0.8518973651190813,0.9116029680769796,0.939429852014502,0.9906969759653365,0.9467601486654064,1.0416628187983556,1.086343456654097,1.1003650208154387,1.2436559236113585,1.3267025006213542,1.314201244728905,1.5415111662050935,2.1608712501030363,2.796530626323657,3.4379014127015273,2.2555677516022032,2.666667436828985,3.3897943320223174,2.268854809033779,2.2042832393541847,1.4696001186827812,1.2822834663342793,1.4883662303161282,1.3734127178682718,1.5186217000186744,1.361369559401158,1.3776686985271014,1.8565080996854966,1.5331728132011693,1.4326284149274577,1.2596844482805314,1.5726564413932484,1.4544770166014998,1.31695194705709,1.463052866009839,1.2481039981410447,1.344134435018278,1.2499905479280213,1.357823870553102,1.5530284505648975,1.3148526941375547,1.4699165871252415,1.240149994561528,1.402518570568729,1.2323835332904804,1.15606317342916,1.131177011957256,1.199740802252222,1.0368769141324072,1.0989426905747717,0.929913075990479,0.960240254310637,0.9597919531365312,0.9674481931556436,1.0666927692178128,0.9735326389914053,1.0800510168741604,1.0658055200846002,1.0204449691551836,1.1080533626680362,1.0510379576955655,0.9089761183763567,0.86248896906078,0.8901073895778645,0.9587430426170575,0.7704943580685317,0.7143480281822386,0.7525612147779024,0.7581127859140675,0.8754416676029579,0.8206117811013458,0.9080129117890803,0.9438260542921308,0.9520254321094652,1.2106664317569136,1.3442028224411842,1.2478481746886545,1.0537329347662683,0.9586770990418491,0.79586365924436,0.7330808391985296,0.6923577697936875,0.7531975706943108,0.9030184414327427,1.1414285835665192,1.8491351318991602,1.623020514897746,1.2343791783149463,1.21175159705902,1.0515791246785786,1.075441092925978,0.7170884683177708,0.6304728166278619,0.6525514842432895,0.9067824718870119,0.7980411655616104,0.9639981135245714,1.080252119479487,1.2568276484711565,1.4661122536475075,1.4214139335468072,1.3099030849066322,1.1129450406661094,0.9972157924647527,1.0000550850071737,0.8587908311820676,0.6665252711681834,1.0797678848562795,2.1160172124508247,1.5112473316301835,1.4298254320652646,1.3468833852743802,1.1808363682163212,0.9868804488152486,0.9186749126774998,0.7671868699664036,0.7145647582066831,0.7124559764405172,0.8433409375556826,0.7940785500096453,1.0128878571769395,1.1722872600738319,0.9077127351178382,0.7984927990849567,0.716986139242057,0.7976087800113001,0.7683409187778162,0.8021438058858871,0.7701998369357534,0.8445330250350959,0.9493591242048038,0.9651620303777196,1.1666024203615346,1.2299705824700577,1.218312005148631,1.5029923366822429,1.3697430695358936,1.097118570410877,1.0457359070859777,0.8994520137002615,0.9392187634990804,0.8630165951570408,0.8463373613051385,0.8399896683883208,0.8174584194320147,0.9153429167052823,0.9062725987896039,0.9123032029425158,0.9320399447926483,0.9194851528910137,1.0385920238850284,1.1385389104009156,1.0922092212680667,1.1101238953289774,1.1803527836895893,1.4071032752933845,1.6095373498435455,1.5572402471914817,2.1618254760544726,1.7052676450989293,1.8794038829439843,1.7497952620216985,1.7893934897422237,2.0708368793259178,1.7362714196591529,1.793415779093218,1.7226471207971386,1.5326919943555075,1.6856901218913136,1.4791375625008385,1.3646137430134044,1.5026608104780639,1.5588527567685555,1.3195379227599335,1.3179650721138936,1.5199954380215241,1.4245258376819092,1.2833209746721443,1.4035288536080064,1.4517107054891194,1.3077106304038062,1.3444596091918315,1.6088606301612303,1.732096671641962,1.6628771817546673,1.8911165778709444,1.7883980355841065,1.874264182329825,2.128295478485428,2.7136091193131833,2.6141107323455923,2.1904217760840448,2.204817401114799,2.2089600308896737,2.096285191282575,2.3310377889271283,2.429257975118653,2.174912488530753,2.1565101861886484,2.5809487106279767,2.4340117149241043,2.2301769525468584,2.4677374266043834,2.745645299220977,2.4764593049542514,2.260328451475374,1.9840108020889495,1.8440425499760233,1.9040415851111152,1.8515400273786748,1.8084620962730746,1.8155950579420799,1.6853351207360956,1.6452964050865149,1.6725376775551024,1.554867883982999,1.4555129502634125,1.457938255091489,1.424684293283861,1.3340888727001297,1.3554594682871133,1.4652916447264857,1.3917731786109542,1.5046862608836358,1.4201709962345201,1.5333375237691214,1.6083710012963048,1.713909244112833,1.7027941485933662,1.8880262703592254,1.9531758151179788,1.715415885614866,1.9201966773658237,2.1019302452765727,1.9971872799885684,1.9431319463900818,2.3455165318330202,2.4173145060728976,2.0813631263561243,2.2695761775713725,2.586188369403945,2.542359545475937,2.3122144847026807,1.9730782276698102,2.4857729426739414,2.1888414809737187,2.122066511332399,1.7986051004157249,1.6167006002688182,1.4221646558951915,1.6499388570341016,1.5679549307090186,1.7273430191226373,1.5095538448812766,1.5799973240884468,1.18934303608751,1.442036825144645,0.9711166204963657,1.0843341081278866,1.1380844046780536,1.1771752802667994,1.1585232305047157,0.9989691150069088,0.9852011503552777,0.9856178668967611,1.0838270273662063,1.2389509575063569,1.4063582585254648,1.0088672164031942,1.587951488035534,1.8007175161663362,2.3605022345027113],[1.5997377921029248,1.07527746572999,1.1905786676877461,0.4570281337346589,0.6399712569960835,0.6833425361449452,0.6385354219314888,0.6744736831090614,0.6306618078192021,0.5783254459533468,0.5868910922454569,0.626881881868285,0.6504428421273397,0.6823301817554352,0.8700040778276482,0.7955425505723873,0.8759909176303436,1.0414623779298064,1.3301680654987995,1.1982131477756144,1.4284016938856374,1.4123703903227076,1.7317174954064993,1.8610305333011876,1.6093750618810965,1.4670450458079891,1.1676125543714624,1.1222952017213719,0.9709283989299483,0.7844744481019487,0.8993828601734332,0.7472538201825413,0.7747216179950009,0.8545929358673933,0.8572294192432918,0.9240946619192204,0.8435890443481127,0.9654380403688578,0.9816084009672149,0.9710038172543101,1.132806738079704,1.2549286066954077,1.2238828327116666,1.4597591675514596,1.9887446946825516,2.5421331008541057,3.1776370956635023,2.0545893545560783,2.523067111947579,3.149118935971164,2.0681110093206194,2.0905637294067523,1.4066684707603032,1.2244743309308896,1.418367368128827,1.2705014965378276,1.3812607295216779,1.255476949156057,1.2723327705632639,1.76699659481691,1.4607613656773948,1.3720210384813545,1.225386215658169,1.5188777893569276,1.398514465553592,1.269101887079506,1.433878444143149,1.2184316612848114,1.3281968428039181,1.2691790263131382,1.3656862235099887,1.582453358359351,1.3398543282868665,1.4796609313979283,1.2265794820955187,1.4346697559458428,1.1936919752879331,1.111885014921061,1.0644947627521602,1.1348317862128712,0.9298426135309739,0.9793634406837765,0.8262167149385394,0.8234549563660343,0.8248583052935444,0.8381833462825753,0.971076720007853,0.8854432590753872,1.0071060706002066,1.007546854456767,0.9821738592702469,1.1223227231545791,1.054274126586317,0.8854828437283583,0.8331070685884532,0.8810889979587769,0.952965504746609,0.7218800501971305,0.6453179057631535,0.6334357066547557,0.651137485932238,0.7388005818740886,0.6888189754681994,0.7840508227534575,0.8222972329999062,0.8391366843019106,1.0984206983986025,1.260574789821543,1.1483994576654124,0.937340343941973,0.8677725976036385,0.6996667969999051,0.6384485378692941,0.5986498409723588,0.6718556003560474,0.842144968976753,1.0717492874664,1.7995120863218639,1.6034997364056178,1.2023483157488617,1.1910088647481305,1.0216933069081708,1.041669032265542,0.6536988083931901,0.5457042717536654,0.5696139123120221,0.8702803623940026,0.7287360377696094,0.9005747366907237,1.0222035352436791,1.2154118845024695,1.3853379835697683,1.370464383493242,1.2164913993275674,1.090603139368795,1.0218388685609303,0.9998064989786156,0.8672735776672975,0.6066944007933284,1.001337667316921,1.9580719964280628,1.360113629812731,1.3428886448007364,1.2189942261682079,1.070665470841097,0.8793056406377635,0.8068400382504614,0.6533348279636687,0.6040520731114352,0.6066890517549524,0.7418756608458515,0.6728719561697037,0.874554321421322,1.0429366319707323,0.8469456411260027,0.6692371365328781,0.6054029543288395,0.6744177267307915,0.6492775482509501,0.6848319092176691,0.6566013627846637,0.726128321597598,0.8165401027367263,0.825597879875235,1.0069952100353932,0.9978857118561385,1.0226329335226974,1.2802626066689622,1.2289453758727524,0.964674233702722,0.9392331392378489,0.7819493843695119,0.799437651748847,0.7332345322340867,0.7092008250611893,0.6995959741823302,0.6877622736809313,0.7482168340783586,0.7749935337391707,0.7757366406995686,0.8041888560620264,0.8140935023057275,0.9481921615797086,1.0640999205080193,1.0096202570189796,0.9777558568643793,1.0385653530442425,1.282553209394716,1.5434088876622472,1.4903099188316298,2.153324762158054,1.7145531554220428,1.8774904357293556,1.7512977597293133,1.756403155918974,2.020346593583345,1.7168742054024426,1.7142746261948238,1.63176131550859,1.4519961959640668,1.5485191844120745,1.3542436150824608,1.2740406023721917,1.386699106511894,1.4105286154462782,1.204703672284067,1.2276982836363561,1.3868648535464696,1.2744297861947225,1.1918768862679616,1.2931009407369753,1.318212814380277,1.2173967542655408,1.2704266000483488,1.5132529408396007,1.6470884045502554,1.521780765750888,1.7775044118597056,1.6458104017006718,1.7146958082158767,1.9657256026428063,2.561573666529697,2.4286496131599162,1.993635436862836,2.0054616551353064,2.0021586569626564,1.905916235270018,2.13619819149662,2.2467511177642443,1.9960203930805713,1.9843880633207596,2.433347235582612,2.2969244297248905,2.0848789025940047,2.316319661812952,2.6237194715667296,2.3610491125203716,2.1583753745456473,1.867861752266223,1.7070378848721006,1.7430571197584568,1.6817300564464983,1.6562459489695032,1.6276467628295144,1.5323662506533242,1.49320280384255,1.4894638724171199,1.3864216910848695,1.3273181045852558,1.2968206318921842,1.255800337626994,1.2017072657808947,1.2222347952232273,1.2926205222804856,1.231723582470093,1.3939332109140063,1.259472410774974,1.34617844025667,1.422991455447501,1.5129902925860241,1.512046966267517,1.6762330346847605,1.7592918915437517,1.5472674196100202,1.7337196389070748,1.9274653485735225,1.839963484246212,1.8008595757110548,2.1944379748261973,2.3056038613979446,1.970468579631199,2.1599779006813518,2.4641326487804447,2.4535636347872423,2.2338599940549146,1.8879690707540437,2.4732639764185262,2.158409737157674,2.0270833203744734,1.708855859760185,1.5089778244104364,1.3527334599342549,1.5835685070151688,1.476958167014717,1.6500617438013656,1.3915355651816084,1.4947927692515457,1.1371551296438902,1.4088795095866982,0.9113486662276447,1.0051829559971184,1.0401527104801376,1.039497018928842,1.1024851506031657,0.9446538835600737,0.8888786526501575,0.9281836264598488,1.0442556991413854,1.0288667034823444,1.210734223372005,0.9183869426407755,1.4952058875154906,1.6780866154989456,2.124141733924153],[1.5828694237721745,1.0417078589690323,1.150371810398643,0.4233670777345007,0.5980153184898218,0.6112167155661288,0.5890807348194873,0.6300187956642477,0.5940876761151046,0.6026040320122332,0.6418262989395812,0.6638962200772446,0.7341809438753774,0.7902495681665738,1.0368677764336718,0.9424795753493038,1.036132600536946,1.241013328536781,1.5600715517239248,1.4196189963640153,1.6787743742787187,1.6635004986279651,1.9779815620539964,2.0935010685977944,1.8253892413809651,1.6932837712964812,1.3576495742426298,1.3006323328208316,1.1479540871817795,0.9335791320118243,1.0968193618477597,0.8946809806671397,0.9365869601253441,1.0543132498714283,1.0375516189672638,1.122946353230179,0.9956517821156011,1.1414439453292946,1.1592020521895618,1.126719801465946,1.3190299622952701,1.4986897381856243,1.4786107474034043,1.7021838611130455,2.1656696559441873,2.6252992002310744,3.2650079075799976,2.233814005222456,2.583260304242008,3.183602290010955,2.2635331266491865,2.2200028225414092,1.635296723098394,1.4243238881777214,1.593448681268296,1.5189386877006352,1.6267524213431928,1.4737958720006192,1.5121106599963186,2.031709940255723,1.7165632197821035,1.6433884788030568,1.4842185461217203,1.810252024451486,1.6600387011741566,1.5155597762079331,1.6968790967533933,1.4699503106737004,1.5726425392131482,1.4962134741361672,1.6062474601188284,1.8505420258394396,1.5910460728573614,1.7391284621688072,1.4675844606008757,1.6949610316445678,1.442044436967299,1.3687940275427726,1.3115270499744738,1.3751033880443921,1.1271222277419368,1.1548621592074508,0.9292839587729599,0.9556201369384255,0.963131901942187,0.9815532803399645,1.1698707430241966,1.060316932331091,1.2252770710914835,1.218572834791547,1.2128083378673653,1.362952423844996,1.2759806701413619,1.0955921590150608,1.0228774058016141,1.0740902536850614,1.1227623226811596,0.866424911049819,0.7352717133513874,0.6607604351903784,0.7225023109135121,0.7073495449049189,0.7220458935895907,0.7487781375040427,0.798134960997186,0.806461820961321,1.0544618615604104,1.222779159746279,1.1018688889347683,0.879765065361126,0.7944089748676454,0.6701475645908876,0.6147480614443704,0.6182765102288924,0.7390752081612516,0.9185051128069894,1.189854858971982,1.866394218029395,1.8208680392059744,1.3961197542332862,1.3564106982503916,1.1508669546199997,1.1356467887752342,0.7038136737597106,0.5402788985494362,0.5727900985523093,0.8131535947945641,0.6865779987125665,0.8529885816900857,0.9943094804493057,1.1890226552783827,1.3689039433330237,1.3711436287588814,1.2180389204720716,1.090443757913636,1.002313508173395,0.9659478549226251,0.8653007489490283,0.6388101956075787,1.0970690892815644,2.107192662781428,1.4604549241521363,1.4636411448195017,1.3224863478517617,1.2229614972146947,1.0195573632348782,0.9103410733134746,0.7434948064240128,0.631793418332513,0.6105389000998473,0.689348859639187,0.6314492569315113,0.8271805710089777,0.9862676864320117,0.8543349954994124,0.6504759625363187,0.6292092287204882,0.6406404364639914,0.6907768055837299,0.6831573255194754,0.6900224448374304,0.8353396399103772,0.91681844900306,0.9516450283618874,1.1209018620432651,1.0570567376561077,1.0830129678740417,1.327035077728503,1.2642193666466077,0.9789359729277101,0.9697633516971249,0.8331450739644799,0.8756924596032722,0.7948787312137077,0.7792766083229467,0.736992125717538,0.7494700135301984,0.7774496144530451,0.85431359238445,0.8339925787052471,0.8829847153442829,0.8097068593064763,0.9568644734143255,1.0929600597100189,1.0208044179585312,1.037957801178521,1.1376793644681031,1.3620035504103867,1.5802413829590858,1.5642100798926217,2.283080583049736,1.8013139384885866,1.942053713003511,1.787204718695453,1.78524240349346,2.0349326230107256,1.7114001554832483,1.7164377628272847,1.6177917872025516,1.4167503169593834,1.5392140451852017,1.31177689588397,1.216300834496616,1.3603979526282024,1.389473355992361,1.1536487141754082,1.191937331587106,1.3728396013475075,1.243620034825782,1.1481825924966609,1.2711125703674053,1.3024621350437222,1.178280197644024,1.2471142365070107,1.5222747101374459,1.6618285590328055,1.5573422923594877,1.8420875244504213,1.6838923876242162,1.7658286948368722,2.0467445187513706,2.6810859176665724,2.551176164830053,2.088233027934476,2.0889198332889927,2.0866924918423315,1.9477860108403258,2.228188449582558,2.353414554364883,2.0552592072479356,2.0465128129003816,2.5438061227305098,2.3855280954603235,2.143712137630047,2.4151453378340273,2.7475836605556196,2.4416656566260126,2.1999762045973017,1.882517099579834,1.7163546350659162,1.7699357548378367,1.6940611910183103,1.6485395737626374,1.6219226892954302,1.517714912748863,1.471502239069884,1.484495745614269,1.351267578636003,1.278514257802988,1.256677128212838,1.209436278864064,1.1444611299705045,1.1668396504758498,1.2643753995819116,1.187532130182773,1.3457862481984073,1.2308793880941733,1.334964145303416,1.4280475793226066,1.5254152866794142,1.5129973176736204,1.719448999468156,1.8049522073477446,1.5598151880225315,1.7709798611862309,1.9952463829909333,1.8917121481401475,1.835830445579187,2.2883724962239995,2.4097934026123533,2.0302067446476175,2.22836974234368,2.5970104808535686,2.587966620458473,2.330251976942395,1.946819387590835,2.5787006616390276,2.2216731702629873,2.10626107450815,1.7360940956060895,1.5134809336927035,1.3272956246598167,1.572723641976098,1.4623018503044398,1.6663501368992781,1.3968436528176582,1.4984681043756205,1.0957983806463616,1.358061710206433,0.8568517414336093,0.9448737107319177,0.957698216877348,0.9620876304230243,1.0184543006242068,0.8644550935047248,0.8328327728402217,0.8606262470170027,1.0002431841850608,0.9879706962282759,1.161507372286077,0.8849389479794254,1.4866550099892786,1.6924532973832882,2.105455758752865],[1.7960621365982006,1.1335705727314804,1.1602584977750037,0.42547696807074675,0.5979379047784216,0.5936841681970583,0.5692480206625709,0.6088686619150708,0.579477999449806,0.5965003674270872,0.6364439120832022,0.662833310507337,0.739146908162849,0.8135692930359661,1.0633609416125516,0.9600123091115915,1.058696425024166,1.2802803169739796,1.616318412890205,1.4760766853400713,1.7501314949537143,1.7417706523761782,2.058388984191318,2.1726080397994694,1.9001445565580448,1.760379174169176,1.4088931222912318,1.3457100647404516,1.1887586118908668,0.9592840373933539,1.1214167503947503,0.9118655173574937,0.9549211514777499,1.0796180536529396,1.0656242187172007,1.158484837027708,1.0252925341885792,1.186776524647804,1.2125955023483945,1.1896807545713535,1.3887816042621515,1.5680726259006141,1.5622992820170445,1.7898835447856625,2.2619286649679893,2.6990027807050896,3.3513628527515,2.3397459052198246,2.6221770983484727,3.25983038137313,2.377907702654449,2.300858225712505,1.7213802464364054,1.4876520237727024,1.6408665030844702,1.6182786557889666,1.7242756104892973,1.5477909623409687,1.6032573142322026,2.137099800872226,1.8094693436880622,1.7331672387047108,1.5593330444306348,1.8929856280534367,1.7501022708274985,1.5881392382837418,1.7710209185041272,1.5290668539646766,1.6279400140050313,1.5448726906032408,1.6544714110906087,1.9094045497258219,1.6468745563302458,1.798576408843026,1.5248323910252917,1.7466823152720676,1.5087815169432457,1.4294786513893327,1.3746964477074766,1.4425506967683461,1.1744849022469415,1.2115800623362245,0.9558344484261874,0.9944604736397076,1.0194878659102196,1.0309369721343364,1.225826383840874,1.0962032618713573,1.2759279093155595,1.2559426603964572,1.2555768507987983,1.4070549569372093,1.309917067820778,1.1136667861658487,1.0416777849321275,1.092378127680823,1.1289934298777722,0.8741746358127603,0.7318906775351887,0.6460728033108641,0.7316224699966848,0.7075616879280112,0.7324209028985901,0.7258278875105594,0.7904743537632639,0.7875612526846127,1.007773557620759,1.165130738690703,1.0611638429561103,0.8620073143525455,0.7778984641610508,0.6467547607409403,0.5910516972027439,0.6090330184865855,0.7523943149009206,0.9477848790285344,1.2246701015639758,1.9008756486486373,1.8766736705402849,1.4319816528296858,1.3903228386927622,1.179521427857576,1.1758010862467982,0.7176621421343311,0.5283476784384206,0.5556075521585183,0.8115148752273332,0.6464842316075486,0.8052235339051003,0.9374190438794181,1.1070861133726497,1.2892729563186118,1.2754659031453943,1.1513450798001084,1.0044015496453707,0.9443361563898862,0.8899973150571494,0.8492439193019289,0.6385943961972989,1.174816702200032,2.1122871071680325,1.4789157947611584,1.5131631277143502,1.3686033572933802,1.2670926639946616,1.0625148632673624,0.9487799406341796,0.7580698396037525,0.634511245005874,0.5928644851230618,0.6655572191411206,0.6182943356662218,0.7981298561859428,1.0017816742769772,0.8549940545887331,0.6368535315260887,0.6193283221548684,0.6232640421758319,0.6909780341115874,0.6908486875058227,0.7060618420058596,0.8698380355242921,0.9687662377664676,1.0111316657628415,1.1865520942744068,1.1337468057464528,1.1673929049540408,1.4224477523695493,1.3119427886399209,1.0397576177801844,1.0095281713006643,0.8854334576634583,0.9326544400116015,0.8278022766373815,0.8068802745827633,0.7512413267995661,0.7692548235431695,0.7972571576526726,0.8768995976287444,0.8444068141847716,0.9222672172936897,0.8043495993241565,0.9525268175096824,1.0821465693102932,1.0287199158885845,1.0998133763875957,1.2025933069997785,1.4294900205383156,1.629139787250506,1.5942002025872763,2.2911352165334113,1.7720900807468067,1.8812726768890073,1.6947232056863517,1.6914274533438942,1.9563030304834526,1.5765612996492135,1.6323320241488706,1.5625097422455245,1.3811582633359754,1.5278140270235077,1.3063872522941555,1.2026948751876032,1.3579024283376626,1.4150922221227045,1.1670735926967506,1.2079051709697934,1.4115154523397415,1.2950251942811053,1.1931465164314923,1.338804974368563,1.3974034822256332,1.2545119039329204,1.3304895319863796,1.6319474279068715,1.7558608582350128,1.703504950715591,1.9498991256263531,1.7757805573077035,1.8940094752788361,2.1789889245870726,2.8909606073369787,2.7198582803077485,2.2595448494317907,2.2352739312030288,2.221966680602803,2.042316767894447,2.3476308787649947,2.4963114955338557,2.1251606463984194,2.1106632549793662,2.6279178672764716,2.4646944882402844,2.176100172542525,2.456047043446271,2.8140869705924096,2.457782739832002,2.150003066017821,1.8550639072693518,1.6813708385293114,1.7930703123481095,1.7206240343165535,1.6638993927989225,1.6662011349321841,1.4921039762852077,1.4720114950726304,1.5240716242642387,1.3595171075065489,1.2667221878032882,1.2771065974941471,1.2455091631473973,1.162438132173663,1.2003225119444567,1.325962595080691,1.248152629743972,1.4093440375068396,1.3226241095435907,1.4460743851152666,1.527888475545831,1.625551508296623,1.5810083487858164,1.8135996653338784,1.9295489440099658,1.6298579584518673,1.8429892744293215,2.107498706219005,1.9861003934195995,1.8808469681169602,2.3954924075970627,2.5339621512341983,2.090067479929637,2.2747804588714273,2.7091861667424078,2.7055203280018087,2.407050742594343,1.9769066067370729,2.658964932273152,2.237315704779455,2.216720843060133,1.781354580822553,1.5493445589106885,1.3825732986462842,1.6174205090011733,1.4619686066625721,1.6328173314098093,1.3533122598044016,1.472353820493315,1.080370780469157,1.321097433277526,0.8480592651937455,0.9681769570595095,0.975365670745176,0.9935129570913461,1.0370324059308271,0.9109390771634679,0.9023444148056954,0.9182883053067873,0.9637356284064958,1.0527131844652007,1.2971246867336639,0.8412369320577627,1.6340050635747998,1.6190133034444387,2.0670185926628224],[2.036076772361154,1.4869745833845482,1.4529548893570965,1.1040958347299101,1.094117285429767,1.2019834018245847,1.3325719408413121,1.3466330687263584,1.448274665969662,1.6313719726249842,1.7260308446652175,1.661275582854419,1.7486154043482038,1.9402877318472007,2.174827437618945,1.9914104835207442,2.096235946911531,2.3555458508325398,2.7197941579398845,2.4737873553320524,2.7749914192845644,2.701935189070999,2.9951078822615935,3.0962765867259674,2.794231735550369,2.765718997617952,2.3605658366890534,2.3285049841831373,2.183712651599143,1.9292545983169511,2.190709710022664,1.8886789660047112,1.9371137066831992,2.1088223463788283,2.0305671730466908,2.1406299587882205,1.9159127140861347,2.0754079984776346,2.0583186602692645,1.924946877299652,2.2013548118264166,2.475017378802782,2.4291380410846113,2.5762390157793043,3.0335675150523396,3.3176359528767607,3.903114109204725,3.0125538116860815,3.096602316087937,3.6238123475110946,2.9496797892078512,2.729107525200074,2.358438987352678,2.1948671795390604,2.3258376049105296,2.3615230004733587,2.4840487148674946,2.36843073323304,2.4032633483658405,2.837562001884193,2.6449915250972653,2.675058433706768,2.5545508098316123,2.9390604375302,2.7255614913189437,2.568655754744793,2.8425313726606576,2.614820925600084,2.7767600000244634,2.7329418935584946,2.8618942806764385,3.1153455072740464,2.856272878706852,2.9546151385534682,2.622634173247778,2.865732975134667,2.550248917504372,2.4513075328241087,2.3375522258629746,2.313480306700056,2.006663831945774,1.9850357631445597,1.7232533144931448,1.7265770685119646,1.7127674172528995,1.8324269588428168,2.0656649023876645,1.915135762216109,2.2263798609897845,2.219114984940359,2.3215402234985865,2.4730056442167183,2.3680317208037427,2.21369743785765,2.144922015032589,2.235868734788986,2.2204770341052686,1.8953724634232245,1.6958470382186381,1.5211963255602567,1.6147787714623452,1.4125826403458213,1.5106836707879296,1.3366570530885213,1.3474335700356164,1.3096987112536584,1.4463721732556372,1.557755706537125,1.4704946094274811,1.3192310216975773,1.2420169981852192,1.2720890399524178,1.353213724924326,1.4717115060848256,1.7359982525258408,1.9167209114978228,2.227317579795183,2.8488644494253013,2.9049006801276316,2.520645679081573,2.540111431115023,2.305660398648776,2.2676925036861,1.773401196183649,1.504413548417289,1.407981686426905,1.3410971667444074,1.2453028788809357,1.2701773831109242,1.3672422697679565,1.518397868545963,1.7154147688813322,1.6848823245811198,1.5651218040953052,1.4308162989723727,1.3847073707936466,1.3027130187353124,1.4279246431784471,1.4452696135056933,1.9603698516412393,2.9354448118950565,2.3985447691222213,2.423350624594316,2.2676237515582107,2.1711175812876595,1.9765094384096045,1.8634825194198874,1.6625165365846388,1.4704909255023415,1.4274691239243489,1.3136271797471606,1.3657845767237276,1.400405302845399,1.6238648268054416,1.5771573334446067,1.42360959095552,1.4866325745267752,1.3515133281914056,1.5451651094854697,1.379019244312766,1.454080467508286,1.7222270515244835,1.7816294582235361,1.7974209608566818,1.8892818506936677,1.819923171372018,1.6921726203674237,1.8568078045478065,1.6958674569080265,1.5263782588185202,1.4932525669671528,1.4941076358666014,1.5714074762345263,1.5012621750026878,1.527487211221086,1.453037310232358,1.580086839443408,1.4844573540094756,1.5724413722323578,1.4825671659329647,1.5254897331297423,1.3770374982808304,1.4428679064613716,1.5470394313889608,1.5140712048539138,1.6570888763157003,1.838760221629221,1.9388004468317537,2.1341600179227855,1.9551154506933144,2.5767943929404376,2.119433028486953,2.1754444849186636,2.017745720750262,2.0826785790877107,2.3958630806308068,2.0080966934058826,2.093256478974106,1.9927527688782396,1.7177819606856077,1.974841780244172,1.6776424758832793,1.5119564797999527,1.73392033846314,1.8258745359778739,1.4925064737548408,1.5025299308440536,1.7723165070851346,1.6446455121611756,1.445829458015716,1.605401326072325,1.7000432564062447,1.4869029196156736,1.542065615396837,1.8557801625621393,1.9852610358088698,2.0763000072101563,2.4169535658025243,2.2347591497662904,2.393124608892553,2.761424933330107,3.471182190764821,3.3683154925846037,2.8941460436976647,2.898397205623712,2.927953660095157,2.67020575515772,3.0254865709771703,3.233453405371305,2.729148105388127,2.7633506578222478,3.3861310267345273,3.1787467571647743,2.8119427464891826,3.1396127593493093,3.6087558773222166,3.1457134595750293,2.7194921543526784,2.371809078256366,2.1828937121358076,2.3590360927036422,2.2491345837955823,2.129267881361136,2.170186135130485,1.9000289861667663,1.8755697978570638,1.9725919573997068,1.7416951662082476,1.5751410320571293,1.6467644296075892,1.6015449721212145,1.4809399153500644,1.4983887324942404,1.6904212836350596,1.5725860053348197,1.6540547822718332,1.651506211646081,1.8427393184831633,1.952914835491022,2.111099192973118,2.059180787979266,2.395646322081104,2.485276370366144,2.093020354122633,2.3936545127298094,2.71934653884528,2.540107674040896,2.412971272623076,3.0612877653163393,3.1743598478669184,2.629756931014043,2.8608496031353767,3.421185152436363,3.402206260091098,3.004489571819556,2.446421809895822,3.238551391312162,2.6702372127176863,2.6640766430473866,2.072656435656628,1.8577035191724192,1.5779258135953524,1.790891028273651,1.689795398607254,1.938157757576904,1.7015400528840132,1.862573694085858,1.3729431826389846,1.6300714090775068,1.2146956294022793,1.281969549230043,1.341728629739659,1.369765898167508,1.3707426606880486,1.2977143123117092,1.2957835166499472,1.3151609440628518,1.4348414641380647,1.6207099678816188,1.7796314955789188,1.3899467157400556,2.0847133669655564,2.1043193229863855,2.3858378257740993],[2.0022043971400203,1.3698663805189784,1.3870584565064863,0.7900159518555602,0.8113043631225229,0.8277039200610554,0.7844192426797535,0.7880151516449849,0.8097915543015329,0.8024981510456914,0.848241234459217,0.8432050691025073,0.8819043127457704,0.9887998353148687,1.2184324509218796,1.0975025890103152,1.1769225282545264,1.3974056205130752,1.7206504103133373,1.5921646041994402,1.8903797932520066,1.889894738730525,2.218432845181313,2.3259762402219906,2.0318797542804523,1.8779948728444569,1.5084796515678576,1.4276459544100284,1.2837177791778913,1.0576770926794243,1.2546837456635664,1.0164394723769374,1.0595500009234589,1.1993372753287115,1.166194451509667,1.261589255605646,1.1155998127544562,1.2867947396527577,1.3023859714892638,1.292636206384484,1.491678852692473,1.6969469525660206,1.719432057987174,1.9270275030983017,2.4124259929124423,2.761188994510178,3.430982393153702,2.4514894927250777,2.5978326290532987,3.265368435478705,2.4877406374426134,2.4671193232498556,1.9147211896515353,1.629722268855588,1.7826056304862143,1.7850133908672834,1.8577480777278206,1.6825178732323915,1.7557940508470018,2.3076095331380935,1.9661382614969851,1.9047317213244388,1.7152982075759315,2.0715016759717773,1.9268351945976039,1.741073457849484,1.9326346074127294,1.6646299628759136,1.7609876938452738,1.6964858880475864,1.7983659103998992,2.070300301452555,1.8049265223415125,1.9392765817348263,1.6715383576819975,1.9434534901310276,1.655732789293798,1.5705682610336495,1.5030561217910086,1.5702812958971257,1.2858250853755164,1.2963938141356213,1.0300133439476342,1.0639121565521965,1.0982156282580604,1.1161519504856592,1.3326662390320447,1.1971645150990569,1.380726759731115,1.3684713777319697,1.3817395507046146,1.5607470651866457,1.4523575754303697,1.2545464187410371,1.1835176724455707,1.2507331434485782,1.273373043514307,1.0122443151158411,0.8785203132328123,0.8085382968413706,0.824416236079786,0.7997764444999079,0.8157398397258248,0.8014384427062898,0.8659460381811087,0.8439563985188284,1.0765993159561382,1.2352894345499232,1.1511995342385648,0.9596560345912828,0.8870893176250646,0.7559540366965205,0.7279369516805673,0.7302098901039513,0.8672979056536654,1.030059202506789,1.3076601371939818,1.931026388446273,1.9674646983983586,1.534422208902178,1.5031010223987076,1.292743092846248,1.2726923342753182,0.8732339011404602,0.7236276338174973,0.7007675182620806,0.9011041827256112,0.7626301514672952,0.8870523496354338,0.9977144601354533,1.177419846727289,1.3600669728244021,1.31484781464776,1.1860369742213008,1.0407873085793449,0.9866058266222808,0.9842937764249687,0.8890870737646127,0.7227148727162018,1.24408438529874,2.12351497449492,1.5020658079624092,1.5510442794803692,1.4078154977093078,1.336983363505109,1.1404830148887917,1.0338421557590463,0.8548131031881752,0.7402586167615297,0.7075019575669753,0.7884314210853967,0.768279041227155,0.9093627269480057,1.114448023715074,0.9894783440681233,0.769606529831061,0.7419720411691494,0.7243662630046857,0.7826572538150043,0.7806476543515133,0.792804711426388,0.9549474427284218,1.0340426949868058,1.0868746483321274,1.2535473018529482,1.1667347806448376,1.2315365770022801,1.4898427273231587,1.365922567767201,1.0665898068845743,1.0488025552794,0.9316784024993765,0.9960963169163738,0.8976457349146558,0.8823659739994734,0.8290697842087926,0.8600430066353603,0.8798220337702406,0.948230031892202,0.9120799544648815,0.9952422976998971,0.8836391718646305,1.049779066217237,1.1437252341816162,1.0897897440092432,1.1792770385663307,1.2835632273416355,1.5455279925782326,1.693446559380334,1.6159861091648664,2.231557872377996,1.6952993835856847,1.8570640584675446,1.6586498138913344,1.6838108242494618,1.9831523843016674,1.6174536854265513,1.691972357427868,1.6594048153612608,1.4857230187467765,1.650689900591367,1.4428014979511143,1.3465690727370263,1.5074257849764994,1.5790175458541034,1.336553065049468,1.375654626934949,1.5804906026488033,1.477013985506526,1.3828314745640278,1.5281008758821308,1.595562420447639,1.4603835920788235,1.5513911594044323,1.8415881100314433,1.9259447325312156,1.934021893284585,2.1197612106836305,1.9554843441063376,2.090821799060199,2.3907534287328347,3.1181398720153197,2.9714041038350385,2.501815755813433,2.470368025271088,2.4546880486992046,2.2412245163253277,2.5822752676876664,2.7404233245439196,2.2983377463929147,2.300666216467875,2.848092369559218,2.6644815384750453,2.331970448550837,2.5781734008513104,3.009883731785794,2.630953638780759,2.228981493078552,1.9712016834053994,1.7888744385969593,1.9267839246107104,1.8603885542210459,1.7949186414609506,1.824189718609421,1.592780413946577,1.5898811615393373,1.6936683745899093,1.5086894583055663,1.4046026466819403,1.4400207504785154,1.4134368729945166,1.3295487938471926,1.3681710753151466,1.4999188210379981,1.4260881533186112,1.5852488931909892,1.518599465970133,1.652834154470204,1.7275806153436182,1.8271806274533182,1.7651815336262875,2.0248661219581785,2.138399875652947,1.8129277508509927,2.02262684757944,2.314558411274763,2.170589018327414,2.0386752053245836,2.5965836957547177,2.740055024687459,2.25112388855877,2.4223980925903783,2.925026134510488,2.91350353474987,2.564907376171309,2.1186806836988974,2.8009789737159427,2.3303364574950005,2.351423758410032,1.9240901756387245,1.7088852764433866,1.5669590786874008,1.7629321042952204,1.597977419291556,1.7545141213226094,1.4925352235066007,1.6099749762468802,1.242974583560142,1.4260335509178839,0.9764683185349472,1.1578072379296511,1.131845690804031,1.1549582981869926,1.1819665098340277,1.0715972152927875,1.0829577690787875,1.0977599546931809,1.1171225210633937,1.287005371495203,1.5179220108740414,1.0733912126311553,1.8020660736533503,1.74109824447959,2.066266363148218],[1.895111352698334,1.2915529438569089,1.4215536650302958,0.8439091970044238,1.0776894326974342,1.0369127610623254,0.9772457536565526,1.002470389460598,0.9642411186144664,0.9429464816823375,0.9552123913715835,0.9498236487725125,1.0014126206357294,0.9971914738608315,1.140401013262259,1.1318204908050038,1.1850318902148451,1.3358599168055558,1.5879660479485191,1.4928351307898857,1.7328163875617368,1.7106181433788126,2.0155193196266845,2.080794972532952,1.8184909319085778,1.7023219440364727,1.399473266262785,1.332228949853289,1.2357603499095429,1.1035020255408423,1.2578247857067277,1.0913494290045362,1.1508043895639843,1.2526313099928037,1.2072124372711206,1.264330695813096,1.1414098339888605,1.2295498209086229,1.2294072405693306,1.2230254070620448,1.3378714618537735,1.50972172890717,1.5246863443777772,1.716718144435116,2.1630996091929386,2.4884991197406987,3.14946418096105,2.212906822195534,2.465185341195053,3.0039438600783273,2.276430947223905,2.2195652659364167,1.7397969168234986,1.5342042273509124,1.6270061602516994,1.6316148059110678,1.6624857258267283,1.505221539931988,1.5753006869371773,2.13590379413368,1.787776478436652,1.7376538553048901,1.571514670857147,1.8923612255033417,1.7433160803975278,1.6060855388747968,1.7962399053391198,1.5743163666008997,1.6572429406606786,1.5729732128099845,1.6692695834726512,1.9426886037942597,1.696491071497352,1.8440571116842555,1.6076946324689139,1.8778478451378038,1.5564409809957342,1.4839468446654849,1.4147711679024368,1.4723389503299973,1.2631896319108393,1.2431059307624592,1.1282032161417592,1.1496612454907036,1.1668002370671398,1.1286426536478475,1.267770194758132,1.2428298269538613,1.3385330852178843,1.380514792504708,1.3633927552413339,1.5600640577142442,1.4622621069400625,1.2543418705560716,1.17170887926607,1.2324616540376871,1.2524043504726532,1.0692884811453258,1.0125647378007228,0.991888641880724,1.0003011271629358,1.0622699224317187,1.0134244257325205,1.1255901859139308,1.1594101376930783,1.1937086768655543,1.4356640764886242,1.582630209740717,1.4449839668474949,1.2647374067054202,1.1799147929843672,1.1046253502538674,1.0245771326377677,1.0183880003742982,1.0143350998972305,1.0884906315368124,1.2299934997742155,1.633418365094348,1.8425929044981773,1.4269769422910783,1.3655695681838873,1.2007341258262398,1.1498540322974589,0.9945676119428851,0.9705525344760041,1.0026326241478967,1.2218874038671126,1.1404917990156394,1.2463312782049725,1.3833388505782587,1.5687125358649112,1.72034327341937,1.731406771795354,1.5729048174628415,1.4867683164881766,1.4431640586331125,1.4324005636948212,1.23508666720336,1.0384170273519788,1.1530508061626223,1.6786670196140925,1.3173633256082637,1.3683799063344835,1.2348779588078977,1.233253613506118,1.1251584882493049,1.071704240765703,1.0423046445785047,1.0096233665164804,1.005597121426064,1.104162598706112,1.0157028087117328,1.1551178814834584,1.20557323207422,1.172776298882843,1.0171996459072339,0.9688363229180752,1.0347181754801438,0.9940281098744017,1.0545572523533013,1.0409541964264706,1.048804583500666,1.0740632643073853,1.1179782120428952,1.252184404798037,1.181557248254972,1.2723087296641955,1.4524912795789755,1.5270925416175496,1.2927343353799323,1.304427511100573,1.1509988899827306,1.1491605433514134,1.102099158265543,1.0690788086857494,1.051574619271443,1.020210398756098,1.08367730472071,1.1403236448653695,1.148066032397245,1.1667307365556872,1.1717340416162176,1.3270433141100977,1.4418282346139553,1.3764823919870985,1.3080978720222574,1.260516668833527,1.5016085122873974,1.7514650404753245,1.771644129124015,2.490079778857177,2.0427768810532076,2.1516702419604457,2.023902448457246,2.0558088999514514,2.327319978257044,2.0259120980861667,2.028719430061572,1.9357316278174703,1.7510299699498992,1.867934936553125,1.6795058492069077,1.612562386177866,1.7344310011684967,1.7645574218110622,1.563479534467012,1.6196106707769062,1.7723074742437932,1.6625644642615793,1.5793185803378227,1.7082721322928198,1.7599359443269063,1.6328709706011348,1.6591569417648873,1.9874182690255875,2.123128476106207,2.0059984110368445,2.2445724633081543,2.0781228544031776,2.177829179695729,2.435893483475083,3.1191816561883137,2.9371071258873718,2.4904294314347433,2.4807681567307327,2.4775684148018953,2.3039092555866345,2.590239501456372,2.7467057641903594,2.3813525444171937,2.3803375939802893,2.873505512764847,2.7304929544008787,2.4603009345783415,2.7115354435410186,3.0862856486386434,2.7367759875834508,2.4687967097491668,2.189215072408802,2.0293876077865955,2.074993170340203,2.007101206668834,1.9581680040611842,1.938999984371111,1.7899024745365397,1.778031724245229,1.782642112859012,1.649385933884309,1.6070084379799965,1.630470839693528,1.5973611779708363,1.533422687234647,1.5811377432653888,1.6731030862173564,1.6105843747970783,1.7321099664536967,1.6699808218126546,1.7554218056042767,1.8352125175606275,1.9231296497463957,1.8933401555872187,2.084924255457579,2.204984663162002,1.9428939443202298,2.1243845968322628,2.3710361328143468,2.27018905654416,2.172217680513651,2.645927938850053,2.8122180018941587,2.3727706017744215,2.521005042358654,2.947258642755577,2.9586894818066574,2.6621617975819736,2.2652663846817918,2.9258483857410265,2.489431884308983,2.468925164646186,2.099763192035501,1.898485501073281,1.7724004494153538,1.963844938126924,1.8162115513525676,1.9711051148430387,1.7011004317800278,1.8029206255901296,1.5089528897477218,1.75583898075428,1.3267546299265107,1.361447791661672,1.3607113928244041,1.3577959130432409,1.550619282803234,1.318182879441906,1.2461494713270684,1.3256824848151993,1.3524331880214144,0.9791193153470206,1.1353140972730662,1.0821179165012764,1.529362106475215,1.6751250519949539,2.021660540806314],[2.133002104558798,1.4908462472477202,1.3916102757097129,0.9458533172353275,0.9790625001500943,0.9378983811566434,0.8737726892450312,0.8887279482194357,0.9337110192704156,0.9736257265364491,1.0153244546742406,1.0187979908956029,1.0631171800520585,1.16019992226257,1.3922621892846845,1.274019029046019,1.3365074370289052,1.5323927335501002,1.8183184802391241,1.654758619811612,1.9002793784722023,1.8538792548771257,2.1220375601047787,2.1820996053440367,1.9531065299272947,1.8773021849543923,1.558527917340436,1.5019875965352452,1.3983271433094406,1.2136698113174533,1.4158628475679143,1.17569767366164,1.2616679299854123,1.3582505227304194,1.2959356131679147,1.3735278186329454,1.227861795158385,1.3274302471119814,1.3217801101728617,1.247377586525591,1.4546898637046581,1.6746650819213724,1.676498123186323,1.8817719939033013,2.2728990321999856,2.619297957091975,3.2190962148404614,2.3298727250608975,2.6802305719725203,3.230558841904701,2.33843434082506,2.432437750845414,1.8214861068622115,1.5862349953649932,1.7108349326313608,1.7058127022804517,1.8169474374805956,1.6445210596143154,1.7170414022895122,2.234445977224236,1.9390662520372015,1.874237458995628,1.7338316541695442,2.050223700613533,1.9220952834830998,1.7381252520743748,1.9693387167931518,1.7617850161684712,1.8770108046271448,1.8336847977609838,1.9291871803335305,2.194471962418269,1.9566840377865453,2.065269855504327,1.7891782437666228,2.0282053118119796,1.7223737812795425,1.6555302205316589,1.5671809839038664,1.5897603512527252,1.3067325456851795,1.3176473179366301,1.0595995494429313,1.067784650657034,1.0924212371407602,1.1392375425745493,1.349681579122627,1.2565119409002534,1.464277192850052,1.4700799020061186,1.527112801553629,1.7169266181193776,1.6330252628787294,1.446120039489981,1.3793604106709438,1.4479230682082802,1.4790971663822086,1.2344583315418234,1.101341632982475,0.9615661667763222,1.0037684062652683,0.9314128823618324,0.9311859934361186,0.9217420798763669,0.9261714295001623,0.9870929866365667,1.1224120125211166,1.252712957551183,1.1631514331322759,1.0466514346839557,1.0310678441304684,0.9405089470818017,0.8688182972438824,0.8918107652424979,1.0490556524906385,1.195250650023268,1.4152224918914103,2.0424225174103503,2.0581335180139746,1.635169130669798,1.632933342646284,1.4460480015823964,1.4395560553017062,1.048677443483898,0.9156665232820653,0.8708648358066966,1.1532334016440373,0.9011000386624506,1.029342067412039,1.105577719575567,1.1922086169344912,1.2763550657890532,1.2457922724052917,1.110141395166159,1.0576294791557568,1.1692241130950776,1.0036791696661524,1.0704503052554721,0.916911818986167,1.317458613701485,1.9580830642644171,1.4589689479565755,1.6251236965915594,1.4402532624274995,1.377021709182841,1.2226493475876128,1.1202569354110044,1.001698471897548,0.8943170843221158,0.9094715649352949,0.9357207298071557,0.9566982693204185,1.0540184217235695,1.2541026041461985,1.2362056483583235,0.9365699249574483,0.9488273240093402,0.869487584435673,0.9508931221539196,0.920807884901003,0.8847332325915309,1.0372754894447027,1.0815734410950388,1.1007041001061162,1.2173350986203246,1.1221666409918463,1.146804532004308,1.3786275594211197,1.3084244508051657,1.07586742074972,1.032558227323636,1.0153642807702459,1.0146904756596198,0.9270013369392748,0.9391308943247779,0.8957538923023814,0.957601540976062,0.9355104981509264,0.9922342411361493,0.9280957194881341,0.9636278733012948,0.8977757132819162,0.9777259115579111,1.0692351529387092,1.0080818318139106,1.101354321529447,1.220262372241405,1.489841183193264,1.6927010215962996,1.579416494242446,2.2384052316707956,1.765053559879359,1.8434954318192691,1.6430226883101304,1.6045719089156427,1.869805485570373,1.5868027839654837,1.5932201779837623,1.5638958467644586,1.3559766031449132,1.5434581443964381,1.3892848477183182,1.3350789321915044,1.4992434567794601,1.545203432638913,1.3685443093094642,1.4504290220999205,1.6030949232334666,1.5116710243539995,1.4738857222091912,1.625662749153174,1.6952639493703363,1.5959387627849941,1.653859377182904,1.9581708358774534,2.052581281568516,2.0065443663510973,2.195535959004768,1.9878470689546437,2.1017742792623344,2.3148663849034645,3.089234955609504,2.788672937293008,2.3977243884750745,2.3095732547004406,2.243165946202235,2.0183149671833296,2.3082469180864478,2.5169203986689372,2.0890204652499285,2.091055641374454,2.6271119197832227,2.5049132275127612,2.1754822324863308,2.3437356413377257,2.8015139947650862,2.5069595993931646,2.1094217997901406,1.8900887448461778,1.616313743984295,1.7194380146445372,1.6736386268378476,1.6518744728544392,1.6543002608004687,1.4598074647547383,1.4775368497901034,1.571171709528234,1.4114797333577622,1.3742450207215626,1.413075739254945,1.4078553452445435,1.3667997549118125,1.427374174723743,1.5452974883646318,1.4939250334603913,1.635314316798523,1.5932392692911033,1.6809202970335164,1.730312842042139,1.7723042462911964,1.6935404386813557,1.9033816102728245,2.0718703711152187,1.78722742184338,1.9162905735917384,2.2251686754170046,2.158839930861652,2.002605272993059,2.482014915344403,2.72670086159121,2.259924424162028,2.3510847900379193,2.813782629635741,2.88309582020622,2.578380481680555,2.164504094472401,2.89372132040442,2.4434341773399013,2.4394806347185107,2.023657759995875,1.7854363351552132,1.6704022134889966,1.856657211162494,1.659488501092373,1.8307786854531696,1.535434778769189,1.6363562100314268,1.3030135976887811,1.5182411344232623,1.1212424000167027,1.2029669164427375,1.223901842991625,1.2395238506181128,1.5007117427822636,1.3275347781018694,1.321951697900042,1.3928268117122868,1.2962249136785489,1.2074337392574606,1.4758853080012213,1.0282935368663928,1.7691560202050192,1.5852369455651103,1.9828758240098177],[1.8101274554356344,1.1561606470457153,1.1990568478002612,0.5279727535522845,0.7021310259912082,0.6614769887356712,0.5571215712284231,0.5689746473442746,0.6102338768507319,0.6001187123174729,0.6619870297312055,0.6608989384585406,0.6958940191650203,0.838402256513235,1.1186377275569805,0.9547203237004366,1.0422441900529176,1.2754612504020315,1.5832671128484535,1.4183490501150375,1.687029323382715,1.6616975619482077,1.9348505576340955,1.9904613161106997,1.7573441454522318,1.6607137396053568,1.3081557358876044,1.2479636093542241,1.134739185524554,0.9158606275643245,1.150111428306752,0.8751369909824882,0.9552132902324864,1.1020155370002274,1.0314851166093197,1.1196501497450106,0.9500599601041667,1.0804352048171046,1.0826429822918517,1.0389026092692086,1.2300485136374029,1.462116209726734,1.4583575281811096,1.681557363975506,2.052397527188634,2.4332458975976214,3.018899246012613,2.1260602543387344,2.5885764355382537,3.0616828835133143,2.173170546554001,2.2294324327657495,1.6270575718389546,1.4203837578467193,1.5096612590600462,1.5124879689724289,1.6159893706509207,1.4331429023027238,1.5076908766694468,2.045306154953659,1.721172051017095,1.6734439077474015,1.5349412477954443,1.848189713987891,1.7236469742179044,1.5355190031869523,1.7747961917640536,1.5386197643527937,1.6487345240292113,1.6203244196254194,1.7107805993061442,2.0122437696534456,1.761565824597933,1.8673108456625458,1.5629494339042074,1.8933233534255198,1.4982912482508401,1.4180018922156599,1.3326162004793352,1.365357674665527,1.0741656192908553,1.0835900353666008,0.8695561811064841,0.8232825088868984,0.8659671585437821,0.8923181160295187,1.1171286180909688,1.0107437431568371,1.2278024398711982,1.2276174762294771,1.2829158703697756,1.480983435917554,1.3949520320785809,1.1887065295859687,1.0957554040804143,1.1910349251212886,1.1953737234813964,0.9124508674273357,0.7441574487577269,0.6256196108122166,0.665768626829109,0.6444801332501898,0.5887926583905944,0.6301096894814174,0.6932303322224552,0.7549022757347363,0.9440823286225813,1.1226879352838004,1.062882923135493,0.8668083555231206,0.8132915391131292,0.6322743987998795,0.5308908541167204,0.5301249493896825,0.6730037889087673,0.8374957162297652,1.1130792352914145,1.7422505163368225,1.831837680352785,1.3840155546420354,1.3739592524834927,1.1475425219924933,1.1159621465445597,0.6862962367291185,0.5094878447040236,0.521135977666721,0.8316633566905441,0.6481310192520108,0.8215909601691627,0.9118545788394851,1.1027696361518236,1.2393430148000497,1.235642867388905,1.047916018485272,0.9845804667384757,0.9791065715818567,0.9519422389363027,0.835253193190255,0.6067485102411094,1.0545783398606128,1.5540360580080017,1.1628493866755714,1.3314580483773195,1.1342200341885875,1.1021209690599736,0.9288443265720482,0.8085723247144286,0.6547233726455983,0.525505808606618,0.5353490908487168,0.65487910101882,0.6030953700336188,0.7869591473005962,1.009607809911454,0.9500747052212941,0.5924243652816593,0.5754810149299335,0.5408996876277524,0.5864068145489505,0.587885473307557,0.5665583244033241,0.7503060455953077,0.8099208607970202,0.8653581380220025,1.026542279054647,0.9376812349196665,0.9822516281458766,1.2439750333570925,1.2260610179686042,0.9532338876085288,0.9114325929040099,0.7823401125203576,0.7798339117455503,0.6827177287902948,0.6604801910584921,0.6172604027922753,0.6695797261910565,0.638959408389902,0.7439512759123454,0.6781572587895552,0.7607792640623996,0.6952134485009182,0.8531049361192427,1.0028657334517368,0.9500243334406088,0.9776912530706016,1.0519229843444742,1.3138302886753297,1.6600955375577942,1.5529266378691196,2.26290205197045,1.780843393458598,1.8814445527942352,1.6980343373803544,1.6579282936544444,1.9221620628720684,1.5880237913066142,1.5811960759589876,1.5420095725706338,1.3893985508221864,1.4804459211858567,1.3051489958688565,1.248286041064275,1.4032248562763296,1.4372800243214774,1.2597895816164972,1.3404648287413765,1.4905665834726982,1.391587942497342,1.3589834209695195,1.500986200403591,1.5748724751484873,1.4829762828653044,1.5320693568061727,1.8483360153369381,1.9369003140940226,1.9003224831904697,2.1016197354075214,1.8794332175462753,1.9900382239057233,2.2493762857842197,2.9468763566244554,2.708034378074527,2.2252829538747743,2.1702847659749605,2.115223823362912,1.9238385174461294,2.2052623272305882,2.4072658286433537,2.0167055940001566,1.9972040347297886,2.536854488024515,2.41501147480081,2.106440672245446,2.316041844802813,2.750340696071366,2.4163997806268847,2.09955002007658,1.817630304776147,1.5849669703870004,1.6623786209886597,1.6044263730020099,1.5731842179502298,1.5610995654445765,1.4057336750923262,1.413527630242626,1.448471027699545,1.3133977427190962,1.309076457775663,1.3021120267406783,1.287448538579233,1.2652582135059263,1.308443650142558,1.3991192912702515,1.3684423973073279,1.5483873935431307,1.4551891255939107,1.5420322194259986,1.5908746211283329,1.6364844577820696,1.5697698436070673,1.7558068770893411,1.9389753286856442,1.6601465684909613,1.7974507395367292,2.0981836517196237,2.020724604931823,1.8849169093532303,2.3725679480836113,2.5988433148777204,2.1471472151319224,2.270283027387631,2.7240046512482796,2.784945739684237,2.49880969097875,2.0815110020645604,2.8205667592129964,2.369648582317298,2.3450289367675383,1.9080682603899162,1.6728029794208694,1.5554767176199664,1.7186167265002061,1.5421747492820985,1.7382480676461156,1.4160032857670208,1.5335253470846009,1.1937183295666989,1.412079483900635,0.9257949346938729,1.0715597199519673,1.082683970329314,1.0860679941183957,1.3982413698403044,1.149748688489761,1.1023299273449438,1.205539025882883,1.1164535693810171,0.8916939211560931,1.151603380151887,0.8562313174506622,1.632437889144895,1.4018835301177985,1.705183402674685],[1.5812138918083314,1.0191522263003634,1.1876699100491757,0.5440923960946252,0.8354851758410798,0.7340848040799476,0.6370313085876093,0.6435607827950295,0.6319277795507139,0.6097430030415453,0.6517310009468853,0.6764092027816464,0.6957432104279363,0.8038169577868409,1.0543627539675835,0.9094803403141172,0.9861021133089432,1.1914463451904833,1.4606854919237917,1.3075797705915733,1.5515284044788367,1.5302287026754922,1.771921529721752,1.8224974266596137,1.6223891519460565,1.533464909573648,1.2022745113943019,1.1638692064260072,1.0756673481380696,0.883626061780343,1.0737826502552201,0.8408252132868183,0.9056868263103979,1.040789747083823,0.9813391519689874,1.056990072619335,0.9179607469560662,1.0262221368390412,1.0354609243282156,1.01619395361645,1.1421236780503365,1.328849382035568,1.3052035110061937,1.511560317806413,1.900782365244116,2.3242594464616917,2.879436497385868,1.9634297016528488,2.557256957464146,2.9500365364147836,2.0341183448819007,2.0013718248168124,1.4152135361459577,1.3179774433444553,1.3686466922305704,1.3392280330671178,1.445976690826606,1.3205029514367028,1.3548076344079596,1.8912128135199782,1.551791824255644,1.5410175245629991,1.4150501661404469,1.6973880481912924,1.5688191155713314,1.4224080239239616,1.6473856716334714,1.429693706123548,1.5303866204121177,1.5227532275591518,1.5925166528587666,1.89624938908008,1.6555799672807605,1.744721765107815,1.467393840483716,1.8145980646854758,1.3798109636530873,1.2936689166162283,1.2114250676547496,1.2474491570954633,1.017636730906006,1.0223160796151503,0.9285418300925958,0.8800324766530582,0.8950388925737274,0.8970835580480586,1.0477262089822923,0.9792584172381199,1.1408839326614926,1.156567859547488,1.1832763480449027,1.370713704674291,1.2971540689373504,1.104676248540596,1.01959040752256,1.1230626163896602,1.1119327720579915,0.8569357828769446,0.7201127205022454,0.6624275945031699,0.6814287295209069,0.7428864190650721,0.6603991789790243,0.7614823390739485,0.862231327546434,0.9216655230729762,1.087669816220439,1.264773615335162,1.2190246455043752,1.030978372046594,0.9475722614873482,0.7708710487857775,0.6534264824679269,0.6429717115233373,0.6801561987272919,0.7971649232437668,1.0388620525936632,1.6147350225753414,1.7103161855595501,1.2880928848900257,1.2925609132456446,1.0693399501657654,1.0384132881378008,0.6780833833763289,0.5601505772440833,0.6454841319129548,0.8921549020179196,0.8351497157993448,0.9817467339904694,1.0596060647133765,1.3120055664922774,1.4533636476059737,1.4903302166556922,1.2561948195310775,1.2154055142513696,1.0998759911427627,1.2211348949928407,0.9520923968642877,0.7651012365050056,1.0394403408831459,1.2892275364219188,1.1059416037630896,1.2201771251443785,1.044137271165616,1.0280935161970313,0.8979988835821346,0.8115569026508264,0.6936025778869215,0.6328120843451269,0.6055772239496867,0.763688383657022,0.6378502438848878,0.820704741067597,0.9773583296689035,0.9295831878318023,0.6386920681507355,0.5946076761712595,0.6547520198442708,0.6385303278322586,0.6992873778062096,0.7074869947441569,0.7992892763817182,0.8548900541047082,0.8940062070096059,1.0517242023812845,1.0094933892208828,1.0371255020917889,1.2522470802838337,1.3363529405092747,1.0939992804805647,1.0673921292425077,0.8649872351313308,0.8591672374284268,0.8118657332338601,0.7679275791139858,0.7505598458262478,0.7579312570938305,0.7693803902284733,0.8364751574274698,0.8196700994670048,0.8724498013445314,0.8816905761193666,1.0385296466605396,1.2123054926834576,1.1756884508347316,1.0751043826093691,1.0742313465529902,1.2647966886948878,1.7589482486974382,1.6848879809974409,2.4497417410493485,2.0272115314390486,2.1117656115574817,1.981806512334781,1.934000669801279,2.1760858566954027,1.8438448768521767,1.7953399276932878,1.7294877719569957,1.6136861966495375,1.5873500833837242,1.4151320391869897,1.3774387677113302,1.4741090927520282,1.46404513478376,1.314785577739384,1.3867225615183427,1.4731913910636145,1.3641697831360016,1.3540039115557274,1.4441382662435354,1.488393102230723,1.4441152180930596,1.4761495219544776,1.7387020492550376,1.8398602879085877,1.7517916038833594,1.9873853693985957,1.7796280699828724,1.8501486003544574,2.133043757092666,2.705915916181891,2.5122283400618057,2.0046409645877596,2.026985099995725,2.0080349921555976,1.900894002797284,2.1539676133479544,2.3137786575218886,2.0265678529166435,2.0141726477120767,2.5068475858315673,2.41007544999133,2.1565708374549217,2.4066274981443727,2.8152969730488864,2.455629825076416,2.2787675750369614,1.9176838857215008,1.7399605901877022,1.770217413871893,1.6735280616177546,1.6492583878204685,1.5833582008549139,1.512413958736229,1.5037881663766954,1.4478074282033995,1.3660286182474726,1.3929235011130883,1.331403247943794,1.2995624995684967,1.3121809761630294,1.3152368331412325,1.34127351302075,1.333714716548035,1.5432294738185723,1.3779179270674438,1.4372263349796224,1.4895848753013503,1.5371474908932778,1.5206842036823778,1.6559707282434604,1.7986612624894625,1.5890600716340129,1.7475489264766573,1.9787274366473748,1.9012288714647847,1.852449256481521,2.277120349160196,2.4493198665424005,2.0915313370565247,2.2811805685660795,2.6353715553857526,2.6938113342371826,2.4591711066024247,2.072568818480127,2.7956458763289396,2.3553753805034003,2.241380753402914,1.841626817747271,1.6322417381943817,1.5253756874188005,1.6643556457980047,1.5554223176129378,1.7847984298853194,1.5105413427634498,1.6054423050306255,1.3340588830092046,1.5430751450662834,1.0820548764364077,1.1694105077772836,1.1633680399380577,1.129607966515172,1.4845381463649163,1.1724291238008042,1.072910771366455,1.2069063331505887,1.176227692033353,0.8380311610423476,1.0547642081232007,0.9259069350069755,1.684229544592306,1.4365396897227183,1.6739314067812754],[1.767700198533497,1.1315267943876757,1.257563362383503,0.6441186963396754,0.8921242725142221,0.831915674345447,0.739436576043733,0.7559826182705351,0.758509263904123,0.7466396816888876,0.796812775914585,0.7981398990169173,0.7993619754403892,0.9285235967580489,1.1311586234452613,0.9852175023486025,1.0577949680572156,1.2588030392531313,1.5344448080306308,1.3666648089691271,1.6184555413002277,1.5858714594424488,1.847756444463565,1.8886081738168372,1.6982143953094604,1.6039011111023016,1.267003120990472,1.2267570663452878,1.133536649696829,0.9412321316831144,1.1375476030846072,0.9096674532453664,0.9523163069065463,1.0908388772833515,1.037579432927498,1.116488146141335,0.9579424355652347,1.0659237156954708,1.067953315779996,1.039133960214713,1.1849905718675184,1.3861291873864412,1.3513511731152574,1.5679030748499079,1.9694267550401103,2.375795740742297,2.9350537322406685,2.016072794543318,2.577744749970452,2.997388196085847,2.0778930208714237,2.054463476320529,1.4475604816544638,1.3420279082171243,1.4257771163304054,1.3762632460787638,1.4884158769209268,1.3654553329688592,1.4028139707657628,1.917497079404264,1.6278609839729934,1.6042167636042621,1.4751634648584278,1.7522299375468675,1.6419765123897403,1.4869688873072369,1.7092903755554987,1.4894874307796295,1.6041326788001422,1.5844426173003137,1.6556242974758162,1.951069754173894,1.7259251721150901,1.815107905553363,1.5363130671147565,1.8873912586729247,1.4427894054097,1.3523275604588543,1.2607015815091251,1.2863465022450857,1.0432410558412482,1.0371840821692324,0.9256629116560536,0.8575247933720295,0.8868968591404838,0.9092898370357569,1.0809202987895576,1.0076563045673388,1.1924229236786237,1.196709829140673,1.2387000784100801,1.4268411003209274,1.349476036142559,1.1625767942186929,1.0846077550926325,1.1909832382194785,1.1542758018912516,0.9138065232004708,0.7995115265220972,0.761814490354314,0.759654995715178,0.8227914845282791,0.7010172023634438,0.8056761720953759,0.8467085281129089,0.9109442423230117,1.0883519467095433,1.2478773874089204,1.207500643730734,1.0324107998441268,0.9669135321177124,0.769135133197813,0.7143103771368069,0.6924640039706138,0.7728886825048208,0.8951575872350893,1.127820331396885,1.6948252345736603,1.7650379646430046,1.3586413173709342,1.3770116540164403,1.1795126093240214,1.1472780294558622,0.8079518821707307,0.6754732050409009,0.6903563164532023,0.9127563101434416,0.8257890062859293,0.963211481082843,1.0169064185041086,1.2372232309660853,1.408030525384501,1.4114253220562056,1.2063159119632096,1.1401175570989093,1.0581919098007688,1.160641380177688,0.9322747734271011,0.7512709238455695,1.0584488177955775,1.3853919555641945,1.187085526867329,1.3086595948412743,1.122232338997499,1.0903762577317564,0.943566485646524,0.8616725245545339,0.7492652481894908,0.6734319939907046,0.6854220423215043,0.8245857917124908,0.7460082574262664,0.9087857727642684,1.0659793913632198,0.9798812126226225,0.7314063716365484,0.6911290958417223,0.7307381358265392,0.7067791412891656,0.7241813504399378,0.7045678331883647,0.8229841970351692,0.8725945124548665,0.9044351488871752,1.0640965684830679,1.0041432135673665,1.0139699715802697,1.2434894413885382,1.2909679569339496,1.0424029176141472,1.0174394621977576,0.8462830822362172,0.8435319695779832,0.7863616793918957,0.7528252207334388,0.729806295834674,0.7691865931217665,0.7696937442576894,0.8106130301861356,0.7835955496944151,0.8401359594534656,0.8418102026174326,0.9667003186452867,1.1374799609397939,1.1111547478589314,1.0518089637320567,1.097565769847237,1.27190562423754,1.7236738400855485,1.6340851882052512,2.346241858993161,1.8818891817764503,1.9947711653383802,1.8587304009625274,1.817510488793954,2.058783533108076,1.7313524998851795,1.7170245467942513,1.6878340822081386,1.5902722610092308,1.6175016412565422,1.4495730294335276,1.4006595797952555,1.533640080974518,1.5620904824459618,1.39917756261707,1.4675339133856284,1.6003213278199822,1.509296017540026,1.4618356134667247,1.5866110685025698,1.6675227057210014,1.5773154711981383,1.6006913096990665,1.9221656617127785,2.005224008998631,1.987384407692195,2.1647846616013817,1.9472692094583564,2.0630337503467997,2.329084191271279,2.941674757144809,2.752550886780782,2.2523932041744925,2.220083121124857,2.1690746911001186,2.0025511694884552,2.2570454934144064,2.4555923757562113,2.1034402833586237,2.068651560299004,2.584941217605982,2.473460074688718,2.180744377232951,2.3921248606340746,2.833148487563304,2.4572920303272645,2.2040775468094185,1.9114941996726327,1.7150683876823016,1.7679875075082756,1.7095230378867208,1.6689654895864166,1.6546732321392075,1.5199380086754222,1.5293327460686441,1.545694648852597,1.4251581725478257,1.4334383187889408,1.4295409592857564,1.4223228411863422,1.409183875419595,1.4335269165269062,1.5105635067079166,1.4956849936766787,1.6725600599943535,1.560178319063826,1.6499885421629454,1.6902370127948019,1.7342792425176226,1.6752238930086847,1.8394244841021068,2.012456529765372,1.7505788566630094,1.884537641943496,2.1551655017768048,2.074762166382814,1.9590188716645518,2.4187200575824495,2.617031921864171,2.206055419140282,2.3505325983091967,2.7728016273646032,2.829904622834296,2.5577287205574377,2.1568982939901087,2.8777907170087205,2.42534613177198,2.380148489333793,1.9340906313611657,1.7426858754147436,1.6321937181640753,1.7422782732260698,1.6200153928304,1.8260164267463235,1.5476458155000303,1.6458144331667979,1.3445968836603293,1.5259261225009897,1.0780106869811772,1.226846891239599,1.2328530288888866,1.222520829043292,1.5446561710991726,1.267365837791697,1.189322282783297,1.3060862567493947,1.1978326007853246,0.9446481136274026,1.1871682031597175,1.0230484346602366,1.7977973391119182,1.424715896189336,1.6442698814353391],[1.871911009569662,1.2138100703060364,1.3916435535634164,0.6826942139389134,0.98134418459817,0.8729599921297954,0.7576073586255375,0.779942116937449,0.6765990328092023,0.5835939437915547,0.6004095223092898,0.6341784620752856,0.6495757313972722,0.7382537606593236,0.970664241818664,0.8276872617061836,0.9142138932392488,1.1205935301037868,1.4432253970019109,1.2834892752133382,1.5522203373112478,1.5369682435387724,1.825549204151325,1.8978641556714961,1.6660617336223562,1.5535354714812608,1.2011743250137807,1.1586765513738622,1.034149450132376,0.8221363261170371,0.9774419693159612,0.7875597084138541,0.7951400553090359,0.9244240705753244,0.8982203449469395,0.9815995266226751,0.8652894668724911,1.0156163543180876,1.0236791872474063,1.0312479909625167,1.1651149083059635,1.3340007103594247,1.3011859688715708,1.5288953327485149,1.9438295063771978,2.4258943103885686,3.006305196173524,2.0415719301940523,2.6042892448875037,3.0755015492356623,2.1176803250778327,2.0554227441623336,1.461227061758385,1.3109163135322561,1.384363435593803,1.3566356460870257,1.4773446944154376,1.3123204263897803,1.3602710820852835,1.9071773766854911,1.5539064116039571,1.5272021462478478,1.3717404703774094,1.69821456621203,1.572746500881311,1.3855050745453046,1.6237960023803326,1.3706505718814124,1.4888395938629317,1.4442194476351788,1.5496457504384116,1.8598617871704652,1.5828312316516402,1.7076148592777558,1.3895305944285474,1.726142872841,1.325694277494712,1.2295958843161625,1.1572200070014236,1.2002322979748188,0.9847224255615435,1.0213602939017001,0.9711869951903158,0.9152710820968196,0.9182235669451504,0.9033368572775118,1.0338264642034145,0.9282892789006516,1.0806441791776569,1.065014578057984,1.0958378724158122,1.2520727356144263,1.1721570076785022,0.9886802458924047,0.9161240299595647,0.9987887623239167,1.000828700691816,0.7520219010781927,0.6528537587833071,0.6943681403712945,0.703836880080962,0.8764685625554662,0.7558055856210487,0.9403837887401617,1.0107167553827474,1.0654087081926162,1.3192992752607635,1.4901198118828982,1.4392300967898852,1.21375374173795,1.1024465781589627,0.8647542576061811,0.7627230691289059,0.6821419890073954,0.6507246470672158,0.7895110135934998,1.0371864035791496,1.6979742969966383,1.7238622571200175,1.2542113134730228,1.2501398915140742,1.029105532023248,1.0275480260969108,0.6470319933607535,0.5657786784827048,0.6906055736745056,0.9468617165263592,0.9459817963170534,1.1195726188008255,1.1885162315659132,1.4509013992778848,1.662813328225596,1.6341806897710431,1.449325890027264,1.315755601741414,1.148765714277881,1.2991183220778215,1.0155831584212394,0.7464433583192961,1.0560802295270022,1.4991347733598779,1.1995782801871147,1.2741449176640627,1.1026695387116847,1.054348870094132,0.8931968667857189,0.8112567406051918,0.6849342829592017,0.6798313966108757,0.6833146529327525,0.9059642881838721,0.7729608897630055,0.991348327389692,1.0824203187234136,0.9025751079549003,0.7492827654201554,0.6487242685682518,0.797178616782025,0.686876833958748,0.8224135042360025,0.7673071186302298,0.7884102646540788,0.8781495403576842,0.9126244803883639,1.0944888217886408,1.0735719399524553,1.1135282301709701,1.343710117798537,1.3752834468189215,1.1368292124182893,1.1309602903232723,0.908336175581066,0.9179211941517663,0.8717079974237552,0.8246664699052196,0.8337019599112494,0.7861041851155498,0.8489009399090857,0.881174302235489,0.9123977049540375,0.9436242661524807,0.9953000290298859,1.1487906046689829,1.2927043637091167,1.2413599014197763,1.141047443441676,1.1294138500368045,1.2780899978804632,1.6692060245850548,1.6776144999251628,2.360606541707993,1.89559120077526,2.0617246459272875,1.9714861246298807,2.0090496510334908,2.298727584658536,1.9433643362228528,2.0033787171666284,1.9763466846073556,1.8456695079708274,1.9274899515766264,1.7232173344988004,1.6321609135129347,1.8020803736930775,1.8494758023095605,1.6286097161475268,1.6814636927169544,1.8636843427552667,1.7692000641892078,1.6582205132884116,1.803174286751203,1.8876243661169108,1.7422319674132165,1.7514551512783572,2.101357584175363,2.2078032146175217,2.1984407824672165,2.40619216396946,2.2225472663806993,2.339748717489229,2.6585178008310932,3.2037178155637074,3.0961267909506183,2.547600075288415,2.5642076535805254,2.5367587313380433,2.3817108918117738,2.640669772740467,2.8187580126038165,2.4710103856685897,2.4167291954159476,2.9053154454568832,2.791828777768572,2.5126605853656874,2.75753143194527,3.1641782855672433,2.7604058316862154,2.5127094488738626,2.220962136878635,2.0485716576686306,2.113344959208435,2.0593926637723943,1.9846829727742554,2.00031235948816,1.8324908687542671,1.8394910968432472,1.855522901406097,1.7208756826109455,1.6957311086519267,1.7080161216550167,1.6833272356849303,1.615505800266021,1.6633369156132736,1.7701420507254289,1.71578723064615,1.8448163974446932,1.793596503053489,1.9038679622788848,1.969699479990204,2.040837623431788,1.988745051980139,2.167851839172435,2.3229847625032614,2.0499122021102996,2.2163142867842183,2.4704926838044736,2.3716421232279297,2.2587640720147086,2.7350619707269392,2.8859416950002594,2.487563855410578,2.6454494729464315,3.0587675932087097,3.081309307090243,2.8153817151368123,2.4038557939364344,3.093201579573344,2.620653846248462,2.6047080906117808,2.162548531033863,1.9813556392864997,1.8188132569050637,1.9470218724695652,1.8368561725087809,2.027395028736575,1.7656171503738116,1.8786171246967782,1.5353699476558038,1.7159910510854943,1.233399474066234,1.405237693937446,1.4069733607173198,1.4270902756907136,1.5726851838998444,1.3784546064409724,1.311868986708576,1.3787727404323928,1.2651280034221144,1.0007433896344309,1.1942811116616041,1.0427844255833691,1.749321179031915,1.4489539327032335,1.654269069373814],[1.8057708148634086,1.1784758965379216,1.3237324823296168,0.593584445668413,0.8250583005326534,0.7671781496170716,0.5968663694613743,0.6260752602378801,0.5512474005823718,0.4616410025834094,0.4941315508536299,0.5332993324545243,0.542822360412667,0.6529267253452763,0.8787121406492283,0.7574673259234581,0.8618519598137292,1.0715482948950545,1.4155275888325707,1.2531528937191745,1.5076937823472742,1.496448999906946,1.770791355965118,1.8525979293841157,1.6500212322548815,1.5324953563416193,1.2055840045735804,1.1258643090437999,0.9769831128228166,0.7299788471309715,0.9076303032968353,0.6616768716417284,0.7034780012366988,0.824583630260964,0.7997930509412421,0.8972168103369605,0.7605684398642439,0.9449212212636682,0.967018253187228,0.9495896029751051,1.1533276393349805,1.321976051410968,1.2916333306181673,1.56611110490715,1.9410851888348153,2.441247360612467,2.9623891612436815,2.018277846321372,2.6605503833164743,3.1259537759132567,2.0238244271407315,2.1362047068030687,1.4112604955420165,1.255951024594225,1.3436770932669837,1.3127501323840975,1.4607472771015644,1.2900229538295258,1.329020485333258,1.8828060653486105,1.5560853373502834,1.4736085920253048,1.3072737862003077,1.6269211786344409,1.5378967133114467,1.338400483047157,1.5515769249630815,1.3153380976768794,1.4388487529820275,1.3671253159966321,1.4802430977192003,1.751628901432574,1.4904873439526434,1.6384926523887497,1.3282053654635304,1.6485847018387054,1.2634220270980558,1.1560922097364232,1.0825867424915123,1.1519548329585994,0.8849471201888799,0.9149227811231252,0.7690253609035673,0.7136879610368841,0.7522338735541562,0.7596793642301124,0.9587887165753259,0.8276635706597342,1.0082630457453523,0.9948045623168882,1.0161354544522885,1.2014215619892146,1.112339617542927,0.899160085013928,0.8335773537908194,0.9166912944058715,0.9377831478995792,0.6623341570615453,0.5566353946447127,0.5667928503305496,0.545670145515536,0.6945194905556681,0.5299548933190866,0.7002564581248526,0.737157982007444,0.8145562012555259,1.0458091322689433,1.2036729727071271,1.1716846000817922,0.9808642109702523,0.9101530807375865,0.6548136490038213,0.5478613040261079,0.48267787648927746,0.5520102540903947,0.7666177891748351,1.0305899461928882,1.7783125362436993,1.6971902492159738,1.2131752764640213,1.223283766838952,0.9992815340783294,1.0401098128093489,0.5812305602248282,0.40608550350596034,0.47544264656308055,0.825763387139445,0.707600919744135,0.8815285248175186,0.9389073905918137,1.145344353085682,1.320432545502192,1.2727929057640484,1.0839433192716321,0.9930235038011083,0.9584244036260726,1.032716580175893,0.8417230287765333,0.6364779743183161,1.0021979770567815,1.4990194548641624,1.2730055480620819,1.3658238206473752,1.1324021979025818,1.059240555913918,0.840323666814728,0.7340645559327621,0.5509090456148085,0.4761383287431188,0.4904649818532155,0.7157702070703944,0.6460660695550317,0.8567519960117962,1.027638352777881,0.8561240862761567,0.6142033262237612,0.501331272324871,0.5918818151674698,0.504607659904187,0.5806406626161623,0.5315833255854147,0.646416338586129,0.772181596042536,0.7889432416157326,1.009943821387263,0.9819761904697549,0.9814581001377612,1.2774455278115964,1.2222205504277939,0.9750479762008567,0.8933478261983426,0.7560950355551681,0.7467642328319293,0.641158296963884,0.5991071308903512,0.5716298426830643,0.5770183394816256,0.6148389237488661,0.6585835782466187,0.6431617809659199,0.7010623469909573,0.7033505775538975,0.8357021125136428,0.977172516178198,0.9456168755222373,0.9450293584940379,1.0300968896527964,1.2584115015466084,1.6144832822608777,1.4593213221372958,2.0858467003832977,1.678670584913168,1.7769939090048528,1.6543045477931366,1.6312753378489004,1.8993997864491419,1.6097366284598607,1.6323507395757944,1.656382709007247,1.5638901542759343,1.6187726036639096,1.4638888290870804,1.4032602283047986,1.5558101634635757,1.5916531222104586,1.435243745320617,1.5107208807964325,1.6417747928868727,1.5530568420666495,1.5116483513370402,1.6367668234298882,1.699574979770579,1.6092752803763757,1.6407765134910381,1.9382694240438068,2.039873587011311,1.9763855494831626,2.1627798600179466,1.966654906217562,2.0525947612276854,2.3145188108529777,2.8255538940064633,2.65787790394845,2.1587588839324936,2.152324902522417,2.1031747840149606,1.9877562430608313,2.188903818064884,2.36137950895794,2.0735593761834545,2.018658294296649,2.4789909620697794,2.3951456233739856,2.126862402317227,2.2894461291009702,2.7129504457419404,2.3965594000599015,2.122067745542185,1.8885398932083783,1.67161734729742,1.7327311533453167,1.7135518558589289,1.671777414355308,1.6749095018218934,1.5390974557467716,1.5481693842794884,1.5752374816973833,1.4679084673868155,1.4675373484704937,1.4732045869653208,1.46638200953215,1.441553311676941,1.475693506177767,1.5394449210135537,1.5249066184983602,1.7119988016514642,1.590690656697693,1.6652391357203873,1.7127547213620038,1.749963340782639,1.701461341944214,1.8240143256131014,1.9902064251897993,1.7714246336571344,1.8847244149982756,2.1202596273165555,2.054759350840146,1.9622679510099672,2.3613335469735106,2.5392468834641373,2.199856999652823,2.322182749191037,2.6780966919368416,2.7583664396612706,2.5408620542701947,2.1886997373135113,2.8889145474049895,2.474348654616288,2.387386070804133,1.99736818203672,1.7996100939894775,1.6892536310183275,1.8293792725806381,1.6884715863580504,1.8732842222756667,1.5619669681910862,1.6706653135910254,1.3468094617063022,1.5037528552846768,1.0309714519396946,1.23913819742509,1.235258329113438,1.247715873318743,1.4818139561806467,1.2524638834805164,1.1837809681743174,1.2736276462225606,1.1604395180128235,0.9829953722741254,1.2122713309521098,0.9807500618048073,1.7694199928620837,1.4285621568452,1.6842423169791063],[1.7839279772872478,1.1118899989291977,1.1357652107457028,0.5711212947677279,0.818759635456238,0.7250941695844416,0.6707383170958156,0.6952633327137411,0.7191170646059887,0.746692546240584,0.7750166832138727,0.7735388826960803,0.8243070933227479,0.9227627084490125,1.1104532696342064,1.0086770892634542,1.1233806755919955,1.3050792548935415,1.590985193711538,1.422072445700185,1.6341465055863813,1.6144830420558356,1.8402206581073155,1.89135939763633,1.7334097528659982,1.6482578321757388,1.3681557039976562,1.3093111645081221,1.200996158566765,0.9979159714049317,1.1582607988551419,0.9117038066930575,0.977366748480689,1.0814469111787166,1.056839054173474,1.1363987147565393,0.9942835922976356,1.149462705220659,1.1736886188177669,1.1437444302000055,1.3185605227595898,1.4788184449853763,1.4529058788258153,1.7014212411213077,2.0514495579341863,2.489433682430636,2.967014328226376,2.079162707932814,2.725431553571217,3.108737461653455,2.0817028637772976,2.1943386610362703,1.5444751243933075,1.4330857288209866,1.506849246243272,1.4694633988174404,1.5957033945499177,1.4524727757140974,1.4843173145083879,1.9935838793217777,1.6692401687005118,1.605743970886909,1.4832979550420153,1.728183273930894,1.6454753430116178,1.5052793335314827,1.6795993371618905,1.5043548627222918,1.6108857102788414,1.5674156548904876,1.6429121017278894,1.902537603506679,1.6890287114517635,1.819263054351369,1.522748065150156,1.8673423007838643,1.4644678646077947,1.3602179533725314,1.2911026967398638,1.3380933063993816,1.1089602468242972,1.113567412329414,0.9827074461364869,0.9489551039661999,0.9733691944401426,0.9933436421108898,1.1661320108018236,1.0531056243653787,1.2213673929092825,1.224190788972465,1.2433287310568326,1.434957837832023,1.3404278454715048,1.1487392577305275,1.08495792347896,1.1765721597743937,1.163461656030667,0.9385349868407293,0.8165683641797957,0.7480928295103821,0.7925378887209449,0.8020989852130004,0.7491064807890971,0.8003721823896495,0.8253151272985696,0.8690005816300551,1.024587929947353,1.1786189982074138,1.100082161825276,0.9680487225472376,0.9251669040020597,0.7900841321779498,0.7039689883643798,0.7253415682254418,0.8371621322176378,1.003546981507295,1.223126041388308,1.8875381106887466,1.8063186252169152,1.401230217522402,1.4248053675534804,1.2147911804141143,1.261997708616581,0.8702149215481022,0.6852606764071365,0.7102596546832933,0.9335169196583113,0.7966287499221897,0.931406095137319,0.9980630377943353,1.084498020653934,1.2158701035488986,1.206196947042322,1.0498288202858725,1.0095596967023226,1.0818666050301744,1.0356995148503056,1.0159712535382535,0.9330026684021434,1.1932159403192328,1.5363755079381534,1.3826522937261514,1.5205800675732462,1.312761982863051,1.2501938197609928,1.072589811957196,0.978855032667771,0.8284697900624082,0.7321381312128888,0.6914059386741604,0.786017394955298,0.7253144526331302,0.8664313864502463,1.0654499757558835,0.9760919228835859,0.7346779714720905,0.7078237734479702,0.7062271365744984,0.7479212416633246,0.754670978796382,0.7681567159454469,0.9136981828750023,0.9980832070680188,1.0046681514271747,1.1815669213702962,1.1321300320369376,1.098383712805283,1.3440580495372276,1.3173590670741089,1.1135394941232963,1.041257796965768,0.9622301418226206,0.9473213547474356,0.8521163077083144,0.8192866361667516,0.7612184600150032,0.7909001237002456,0.8001812390524976,0.8772353075422962,0.8360295807169175,0.8907372276400295,0.8229157355248775,0.9199575663297842,1.0413906092348784,1.0415274194293067,1.0738305437231899,1.195676743063014,1.3598138076089548,1.7401564517760872,1.4631998734586915,2.072166212993507,1.683249246712717,1.7366762220404885,1.6055716153752473,1.5392155930685572,1.7584399519408132,1.4873903850556718,1.4652854660014083,1.4541047295846157,1.361649608717802,1.4016746964086688,1.265807025201544,1.2266192102519484,1.3583326569761462,1.3961031675278062,1.2631712939933248,1.3286877502258982,1.4642185039998934,1.395578035006229,1.3715205816197928,1.4909195818495014,1.579012079714012,1.5166031399683138,1.5328324460032443,1.8466430960365834,1.912977562070049,1.8787577711944552,2.026942045874387,1.8075757559942198,1.911410666933824,2.1262951288080223,2.754799778181211,2.5037254552306427,2.0734765836490987,2.0046613245929543,1.9331974047084113,1.7707974996477398,1.9877491487551733,2.190654145875405,1.8569073156558755,1.830475138169218,2.311570733988386,2.23347225728422,1.9403598427261486,2.0795719231559286,2.552847181715782,2.2098030901904004,1.9387075720374962,1.6919192138549315,1.4660037390709582,1.5199605681348627,1.489429762571138,1.4620883839553298,1.4556065927574133,1.3294289551589753,1.3347542751909944,1.3642837961872636,1.2631758663815462,1.2879935197960661,1.2842756543830574,1.3063374133973344,1.3169012564048221,1.3414183667676616,1.4120611464700255,1.41584087852472,1.599510290928901,1.4794040271077018,1.5512820489353845,1.5664540780520182,1.5877460716390766,1.516601512309153,1.6573130894291237,1.847742112198964,1.601809038926838,1.6917673697609068,1.9644419603314693,1.9172746747010376,1.7744401814919968,2.188830371149105,2.43994617996035,2.0302321427571446,2.1207495956623963,2.511657081937143,2.6097682514384766,2.3631700252507657,1.996964011800619,2.703674743097639,2.2946453841472887,2.2442235796496592,1.8268944247123882,1.6172383102475054,1.526736765221648,1.6331257299567712,1.4788527353826888,1.676439299512004,1.4032089160219514,1.484393983659394,1.1962052847582836,1.3831993811281436,1.0056439314429713,1.0819472367186418,1.1473608451979,1.1692559079660079,1.552843891286333,1.258857798547513,1.204445327891573,1.3055757055359658,1.1004216981607848,0.8554148601077985,1.1698115921723524,0.9130804284491744,1.773304873201731,1.2887720467189951,1.5993753169442784],[2.1093923086077058,1.3340917658340514,1.3124238370828631,0.688934622792977,0.8954308538474115,0.786872425217565,0.6760569194409207,0.7175134173655351,0.6800350112463206,0.6256460619234255,0.6415828440399854,0.6720551023901651,0.6899355105459802,0.7672866347936712,0.9479515493898432,0.84534506599002,0.9284924781163993,1.095259196202137,1.4015291304391138,1.241329004471016,1.4700597322353441,1.4570067854731525,1.7132661404284126,1.7967348659239908,1.60769523980799,1.4944944534157236,1.2016325692136403,1.1333596692169778,1.0020529421399247,0.8014150693188171,0.9585498286672332,0.7413590382623142,0.7995815559856382,0.8669909139756985,0.8446900197029701,0.9236118786987259,0.8224845541553619,0.97268865439327,0.9893905028917727,0.9841809929616133,1.1647690889026083,1.308950020550872,1.2827031185018327,1.557139606145506,1.9197158535315106,2.4173661643253608,2.972946113389976,2.02019763742731,2.6429370502812173,3.158556874171409,2.0446288946398754,2.180399916252411,1.4465767076297502,1.2852788103099668,1.3953581125535273,1.3185621810023547,1.4472461349449202,1.2873721635251087,1.3276672609113482,1.8528738027629594,1.5391504986264424,1.449298826581828,1.2771132837233146,1.5708591193665669,1.49785492209669,1.3126288728766344,1.5204683648459782,1.3041715121585518,1.4274592618683957,1.3800520526800912,1.479541024809415,1.753167578753186,1.5047776484799174,1.6303070146843304,1.3320053914785919,1.644340770857968,1.2477782526988326,1.1503131577881536,1.0878438372442343,1.1489841093000333,0.9097392172408569,0.9608482906915855,0.8197450858659148,0.8010470039031329,0.8300214605139289,0.81639408110028,0.9822251204049102,0.8679314323913527,1.0149220171814548,1.0078250779295488,1.0391969982703275,1.2405249561628358,1.152584911804124,0.9583523609577739,0.902633739270629,0.9881326534941788,1.0111817764301678,0.7912687945162498,0.7208306291433942,0.7250974298709404,0.6823766044323165,0.8068617059103284,0.6929747868502438,0.8481533914629501,0.8635714877590321,0.9077589909979663,1.1429914366273486,1.308635884350288,1.2142668084600532,1.05421870771464,0.9888667347875136,0.793886909113921,0.6729417620873828,0.6335016232252177,0.687135869252561,0.8510116068489073,1.0672018286281744,1.773988271363504,1.6619415199840981,1.217053298151714,1.2484943491035072,1.06547920965717,1.1100123111310771,0.7234804233393868,0.5965490847565383,0.6188900350099238,0.9435385862543703,0.8078161091332309,0.9870057884041717,1.0680688191059071,1.171520174757815,1.3534469731417118,1.2918968602170662,1.1506772429738654,1.0447659549787713,1.0813363941186949,1.073687731662626,0.9695890655443994,0.7607013640287347,1.0603205193426128,1.512990691052449,1.2680710932334887,1.3709778884628754,1.1674352874991505,1.0849391026378796,0.8920703823433532,0.8094831963294227,0.6957255852641917,0.6417166115259031,0.6489197125537624,0.8219903225247983,0.7666267071538283,0.9386574853422681,1.0854235969446233,0.9438274707310267,0.7595593555538604,0.6719986861127509,0.7153608563692779,0.6705864570499815,0.7358208833411864,0.6835324439068559,0.7368318120789189,0.8400055697124391,0.8465514889766365,1.035378169916596,1.0297171370036176,1.0879761566010895,1.370030937931258,1.3183921127215572,1.0800389586750225,1.0059917288426086,0.885150687617587,0.8680175524975383,0.7733376347277229,0.729575479212263,0.7048343923092513,0.6982340636995108,0.7696286197933793,0.7770528379328927,0.7707902597640609,0.8181952559641321,0.8320001985552173,0.9703082982117952,1.0876124835893375,1.038525034566234,1.038708934329464,1.0743319314839916,1.3451347655981354,1.59894865332472,1.5214379072799138,2.0859441565893317,1.6545461173330236,1.7824570809249656,1.6330164794970088,1.606225122200052,1.8496568231677128,1.5493354138957216,1.5968918245325006,1.5886666616979717,1.4734629859314177,1.6329124424427168,1.49741395343352,1.40439170914315,1.58314246183471,1.6850426194098391,1.5057997490490793,1.5501279303524578,1.7567916000647905,1.7210989403426091,1.6267560659765932,1.7834363624555534,1.916088158153596,1.7941524912745328,1.7759500859509814,2.1605020563267803,2.220824164297206,2.239042613636131,2.3434608029558945,2.135669352682082,2.295746149482957,2.5030369450889625,3.1941663895550514,2.947613513244575,2.5098775085798053,2.4272750662938387,2.352881839629581,2.146803495571745,2.362859539932364,2.571616507990079,2.174538425330708,2.130354426708004,2.572200092472206,2.4924132030661026,2.18484321210465,2.312089853363209,2.7298328780335313,2.4002477711940005,2.0625445959602797,1.8830329542488131,1.6803247133710368,1.7547118579018623,1.7764817399023032,1.7288200191837984,1.7942133896981338,1.5793867748827404,1.593734678314012,1.6908730605190025,1.5535383606583484,1.5229143152119824,1.584371524902434,1.6229900705551672,1.5748778917116373,1.6226408361103473,1.7723959507681524,1.7504718128523857,1.8537082301939778,1.8376948414052245,1.9422055745456799,1.961753768514425,1.9963611545997981,1.8864580619793436,2.0634423105402826,2.2686474048429823,1.9569356100697084,2.043247202173826,2.343641094977862,2.2725114811605622,2.069813675793583,2.525141853844222,2.7905958679009544,2.302235879949163,2.3444482263144435,2.7966044334953506,2.876176579386443,2.576343657047618,2.185241638406145,2.842011121430626,2.4290495743987988,2.5005025530153726,2.0499801091688394,1.8664666133512862,1.7648069866091398,1.8479910944877997,1.6561629113907317,1.7965157915633243,1.5512401440596444,1.66915217452083,1.3290836801370514,1.4992252833758266,1.0961127753307047,1.2505321783008478,1.329834929362351,1.394769879586173,1.6590158785643911,1.4360641228983506,1.4069791620006544,1.4724805701089458,1.1674488362097621,0.9395944028119178,1.2659128202147327,0.9334003784158746,1.75152366823422,1.3383319952544979,1.642691628339938],[2.1332702833084354,1.3566868699545542,1.3831415841285624,0.7292674438440004,0.9661820325814774,0.8838606916517024,0.7800371922615582,0.8192841689184246,0.7575092589422121,0.7097692506576163,0.7049866048821942,0.7519595884165537,0.8037743868623058,0.835037438694299,0.995625193077193,0.9295064863031042,1.0110012214650104,1.155371975321616,1.4611899086654228,1.3480991824144637,1.5591390637708678,1.5698183363042613,1.815830672482051,1.9216855331424174,1.7323520259748595,1.6022532777305736,1.3519661226260602,1.254363736978279,1.106606529476302,0.9216478543928139,1.021122335140883,0.8547002700410905,0.8875998546540086,0.9354338134170888,0.9438547043663961,1.0309202684812988,0.9619193501059666,1.1301343618921884,1.1579073765569896,1.1766816286354083,1.3539902183909507,1.4543463717338287,1.4382626509691343,1.7312001902556104,2.0374528302007713,2.5593843099969686,3.073666728629977,2.160025190882285,2.775613549231381,3.3022249760785223,2.1511643802560023,2.3517860322321553,1.6196567009172955,1.456035595337515,1.5656430799652568,1.4853379184136062,1.5991006392561964,1.4331029094565553,1.471500174428997,1.9521026585538062,1.6815132893136817,1.5520922845345704,1.3563504105313235,1.6542741402943488,1.6208154859477986,1.4087807129481358,1.568791353451614,1.349575382014525,1.4544747725716518,1.3812651326197742,1.4930447976695431,1.7182657136714465,1.4786118536892752,1.6139166416202524,1.3536221442102763,1.6085961806016467,1.3073224938320827,1.2225298091085037,1.1936473817729527,1.273954126772911,1.0529375433204258,1.132123492338902,0.9737093039724193,0.9881455057431696,1.0270585323148707,0.9958979108849882,1.1365406932421604,1.0119442206999756,1.1329509278011123,1.0893584028942112,1.1115218374457614,1.2782218186694312,1.185925876458965,1.0036938712950376,0.955617570397306,0.9843953915870516,1.0221208850369163,0.8580310984012557,0.8155515828812753,0.8133517842293058,0.8010165461111869,0.9487080505083764,0.8722364253780149,1.0019022726547673,1.022748000867315,1.045807331296355,1.25966761355153,1.412102132545443,1.3120293330612556,1.1621113086070551,1.0889326191768236,0.9394496989412551,0.8131223025433717,0.8193257633405395,0.8327662967328381,1.0011192312646746,1.1958430540770377,1.9181605798466734,1.7257013844897808,1.280503131840481,1.2984766952995128,1.1338050056505236,1.2071788309972387,0.8555965420827025,0.7386307984630032,0.80784136411774,1.042677588169692,0.9635703732213583,1.113021864281836,1.2018773431728922,1.2689203231008106,1.4296629908795713,1.3583171610845488,1.2550262043587603,1.1580308630991567,1.2406331694199757,1.2069689979177811,1.1687260196309266,0.9679974899635047,1.2184576174689083,1.7245828104246879,1.5067379698071832,1.5528336347705551,1.3414712546523642,1.2692420641342066,1.058879644364478,0.9819130810946307,0.8697815373109269,0.8176653734570335,0.7986954020582826,0.959142889322193,0.8674848335617839,1.0369773585551596,1.1488930891697777,0.9832881961220322,0.8574568690408504,0.791019925944149,0.8691145632126922,0.8320714563147745,0.9090302684798505,0.8869371089813423,0.9186295192465667,1.04367519090071,1.0508512118988913,1.2431641150687105,1.255478663536714,1.3192897409532032,1.5956130515396758,1.4946436824015996,1.2919113489531697,1.1867285504318175,1.1123866864348704,1.092304731221369,0.9856249572050059,0.9447584741543688,0.9037658355307354,0.8972834766158796,0.9627013039515494,0.9719731509459696,0.9569656706314764,1.0208779637190641,1.0098802384527965,1.1248539984753336,1.2147196646630014,1.1704159392515583,1.2024900610827356,1.2622106313602093,1.5400927664423052,1.6728687440971988,1.6149915678880518,2.0537921469732106,1.6946402731164796,1.7901343151967675,1.6319765193448066,1.6073217639699675,1.842466889530501,1.5818749274826944,1.6387699914637694,1.6449190324329424,1.5444444768807895,1.693546370119545,1.568523637557444,1.4830209896746371,1.6459606381848664,1.7326966199755247,1.5545175734680865,1.5979914414813743,1.7832552829933717,1.7331590871128628,1.6354333281990108,1.776243253107182,1.8800180008585385,1.7558768761345545,1.7432054530402008,2.0907568488994874,2.1843851442025066,2.1662149878755472,2.3015669285753253,2.120478068407099,2.248525418568879,2.4679905255182883,3.088844244431563,2.8741457750222907,2.4560895632161315,2.4058966024018322,2.3374249311104878,2.1674958635671437,2.359234899122645,2.546984317474307,2.1929591999719333,2.14505476371985,2.566418196400167,2.4887574142332993,2.1983409080375416,2.2853597591374615,2.7134849740255755,2.40196357638545,2.059606333182011,1.921098481256382,1.725737698345024,1.7971203221089627,1.825832441295589,1.7914811915550704,1.8572914552658153,1.6499910799485944,1.6636392096492771,1.7420033439685545,1.6187922091482903,1.5954926309456887,1.6380979616493272,1.6579030043634821,1.5933132907329948,1.6400573202751594,1.765995469207284,1.7280680871654153,1.8446692248393746,1.8053570972649389,1.9040186211443573,1.9396692209059239,1.9900925138487615,1.910910634222138,2.059540713470826,2.242464756068518,1.9647485916268599,2.061668717864805,2.325250291941762,2.2579012772761344,2.0917242260071554,2.5147156422144774,2.740686833628798,2.3123431697848926,2.3623806530000264,2.775400030896085,2.852325098309156,2.5886531584752026,2.2121566000117134,2.8775423067147132,2.453812096042599,2.4773173267865407,2.0601399566880274,1.8859126837200029,1.7822844476316768,1.8907590417440543,1.7056296726977165,1.844746265344517,1.5915343516727212,1.710748161525562,1.3981099065522995,1.5798063543538157,1.1902267093817556,1.3295750556233406,1.4015522753520273,1.4442268375952376,1.6577715323531472,1.479705545663023,1.392344768896577,1.4697003356757794,1.256263222957604,1.0356597243945658,1.3276178592771744,0.9863810593671882,1.7555418885881102,1.42266740656023,1.7282316188312066],[1.9407265063970718,1.1977440178275112,1.2368101177717414,0.5022675471896694,0.7873627874859697,0.6850034783822357,0.5486883982837967,0.5960382705239725,0.5429754204000384,0.4671143538699506,0.4715878409975895,0.5344983337149142,0.5697665684442889,0.6207276989715228,0.8000368340036942,0.7073828084134122,0.8190665921541272,0.9761918879340996,1.2989286150138544,1.1562258953061613,1.368710794236814,1.3806838461413864,1.6222416657064336,1.7168733314531468,1.5585916875645665,1.426892345895988,1.1604720130973143,1.0673005375142615,0.9172251452557715,0.7014849918734525,0.8173565860493005,0.5958680382318816,0.6495046493812485,0.7154452445179291,0.7265497758651778,0.8230158917911453,0.7180556818988795,0.9142414837575008,0.9650313998129708,0.9774385150962885,1.1602742701594597,1.2573179632077205,1.230439380831133,1.526814677203953,1.9251611168065699,2.4546242698153558,2.9556208550605487,1.9835667582889247,2.7005213730513584,3.150518543813743,1.9568206398100922,2.1828797466503342,1.4186435952357115,1.2770974679180085,1.3761887974893066,1.2686327520273313,1.3924406274283943,1.2240118233301214,1.2481719422920656,1.7501919534491612,1.4440697764913,1.3343755823924361,1.179191208509449,1.4361045641054562,1.3824471330559605,1.223617209760434,1.3757188804063687,1.1707481798894854,1.2852614840148988,1.2189885319132712,1.318972418786868,1.5603876766280078,1.3233030854649677,1.4744858276327297,1.1788521537787098,1.4988479733907292,1.1322372680671933,1.0233416074487138,0.9784302444805804,1.0614963682959597,0.8381145705324013,0.9152155656561882,0.8048756468780793,0.7640377736525434,0.7907482113618708,0.7740531643049443,0.9247292758702466,0.7920849869398533,0.9234757458709218,0.8919839421830906,0.8955861336730164,1.092633137220293,0.987906324099554,0.7907586531125493,0.7419018647115391,0.8165240889526683,0.8473409067443723,0.6163670306778046,0.547596484707724,0.5970136292510652,0.5585021818908511,0.7446021036701136,0.6012554818255913,0.774602683972839,0.7916196455058913,0.8364583661968134,1.0435466780363751,1.1888206657788103,1.115598740732946,0.9681320754923274,0.8997259906498184,0.6998673472983686,0.5547269581603929,0.536907708258237,0.5886390028973023,0.7980715825959643,1.0062194607218522,1.8189342647830236,1.5625770919803283,1.1053411171068048,1.1449453338559932,0.9460754326087146,1.0478565384719631,0.6198614034476296,0.44487753367812655,0.5232626885512517,0.8593252212108959,0.7185323818417094,0.8959252744097003,0.9771884537200437,1.048286825921249,1.2039596843812195,1.160769410909027,1.0227248674271467,0.9470213835409942,1.0273867694943213,1.0111798325601233,0.9436858676705955,0.8226047742183247,1.0522261244803324,1.469751481198572,1.3183339479451253,1.3895500522436064,1.1759745476330221,1.0807488583696947,0.8563326836572708,0.7711218609488207,0.6075974994307024,0.545806272796501,0.536081206669088,0.7371634038617623,0.6461346866631277,0.8641598934385386,1.034945015780697,0.851053695836848,0.6345971830853624,0.5292916502732145,0.6307144670976892,0.5536911730828061,0.6520950514503495,0.6197650650617498,0.6902840780514409,0.8299332792751424,0.8288534618652921,1.0530586720481097,1.077111015427772,1.0702364732619274,1.3571569339893936,1.304895596563481,1.0836096401522237,0.9767231850559109,0.8830773394840358,0.8479404316465784,0.7277714781810533,0.6702054384406371,0.642975948573512,0.6100655131079507,0.7006257826094857,0.7069436502469325,0.7180090401881535,0.7750938510424077,0.7609138049868046,0.8751089929428797,0.9895777581276854,0.9674888202241637,0.9900858240741108,1.0809168389058783,1.315606941883561,1.615245857045776,1.4101133612472496,1.894483882954715,1.5417658274558905,1.621263854654916,1.5046617120062993,1.455227064844145,1.6741143332080106,1.4225614560720967,1.426968016430356,1.437527644362608,1.3776570343582946,1.4458912452630244,1.349542713046105,1.2970247853506502,1.4248062597207423,1.4887552408159666,1.3696534599378867,1.425281813984479,1.5606675234172969,1.5188353899435612,1.4851439976758742,1.6019976330202086,1.692344724460503,1.6261688334115212,1.6332325140673916,1.9403060304370798,2.0109325414857473,1.9593782839092007,2.0598408034753053,1.8638146632243144,1.969055210970107,2.15938764738152,2.7196070656160027,2.4933028526723193,2.07656989774697,2.0202936693438978,1.9479086584908354,1.8213633656684503,1.9758382364121443,2.1614987672377044,1.862618518809338,1.8198820645112717,2.225133667958404,2.168179018122527,1.8971513387089245,1.9815102198783077,2.4234561928008933,2.1030769110293797,1.8413719655777394,1.6669407130061964,1.4714444696008782,1.524598481012199,1.545994214248558,1.531527325719184,1.5638694867384166,1.4167069088862236,1.4295307079530608,1.4729866809308145,1.385816513707417,1.399430187724346,1.411333772656533,1.44362676969456,1.4373830206265132,1.467353788143123,1.54237430257363,1.5447299720793668,1.7191015816733588,1.6049326091832945,1.6700241246735057,1.6799111609209216,1.69234679833615,1.6207588625469715,1.7271628574339315,1.9136147428093149,1.6880257944488892,1.7483036303345019,1.9881340546896935,1.9492236980993676,1.8002736516823195,2.163544769315162,2.401038894447161,2.025185278187657,2.076798389405226,2.4296531623705975,2.534459537154445,2.3173153737888224,1.996115073449042,2.6481126465589573,2.2768938203549056,2.247616297678189,1.8807906040179867,1.6948962777844943,1.6399734053959252,1.7350305272434825,1.5434170732396029,1.6836999809396702,1.4138149952924994,1.5074009783635254,1.228321962253882,1.389034904447248,0.999980983908577,1.1735619447459034,1.2395308716375195,1.2736243615950462,1.587905871639245,1.3517010862612142,1.2747725960412815,1.3688880973410837,1.1229998963892402,0.8987455519880554,1.221094121893773,0.887086508319572,1.7492543940228995,1.271297906117222,1.5525878407388531],[2.1799411836167026,1.5593874702527435,1.58947201949231,1.0091913711278653,1.1395853425870823,1.1380019424762704,1.0037538025816426,1.0596897362629507,1.037569601895993,0.9627130623223075,0.9821288366952146,1.0352038772167902,0.9631627180795281,1.0359730044349957,1.1307240262959055,1.0197044353217348,1.0638705878653638,1.183953069498956,1.4639967091249078,1.3038550639217636,1.4976049670179878,1.4847549261638402,1.7136780049830467,1.8077731730280293,1.661272548745908,1.5519436870327425,1.2823031745957987,1.2170519365667738,1.114039279143282,0.9550906989454206,1.0718869332405747,0.9217877064109726,0.9621760300094523,0.9930480455422509,0.9657309583398123,1.0138377170346067,0.9313085176750768,1.0351065408436233,1.066611172421637,1.0458016389452058,1.225529365470274,1.3257355284289984,1.2814289538633779,1.5485417593819355,2.0241696662097577,2.526666057297876,3.0243319394553985,2.029003049625919,2.7277956471257476,3.1594645341993326,1.9740174508035915,2.142378456565457,1.42031859268853,1.2975851337948867,1.3810540589788232,1.2825772974300853,1.4144771484894316,1.286157049047693,1.2928034750665742,1.7225762836243574,1.4654454685236293,1.416053340194417,1.3113518259284116,1.5490177752675025,1.457182760758295,1.346296569535563,1.5323891355952206,1.346483753055362,1.484248456474211,1.4229453616301735,1.5199031253909194,1.765839177793833,1.5343977414435612,1.676843744700926,1.3611301573433758,1.7251550235845636,1.2821829284623099,1.1774173181496597,1.1059859941229326,1.145285515968469,0.9784327424419795,1.0011182923298414,1.0070605820533707,0.8510380086082688,0.8606567767598426,0.9058742647607005,1.0389825019743826,0.986211999426839,1.0660640559813817,1.0885110122945807,1.0934037640253913,1.2867167131373345,1.2036660571516256,1.085231164872807,1.0631402910406882,1.1545385579836218,1.1576457863216054,0.9651883472295829,0.9500799380559579,1.0738562420958881,0.9431613685286456,1.126803287119311,0.9088066852819554,1.0776458505749402,1.0263904617888437,1.0972037917903612,1.296548555147954,1.3607357160413136,1.375327642969015,1.2667655265452067,1.1934194930573583,0.9614394194144231,0.9321751120525666,0.8406682710412916,0.8971654367596689,1.019636618789656,1.1856554743581649,1.942046867276618,1.7135599944270619,1.3088960605159825,1.3766057717956484,1.174374828561114,1.2569739441742347,0.9310858840683652,0.8628465761162841,0.8285724456758119,1.1293812991779648,0.9666361411468926,1.0835520121835844,1.121572064923442,1.209995831621662,1.3791317635083653,1.2777977778635394,1.162049731423815,1.064157867862636,1.1049719384908814,1.157197677100644,1.0077918778994022,0.951939842032219,1.1199368777376393,1.4889795617551085,1.3925056090922534,1.4757963164481838,1.2793567462304976,1.1900598592379021,1.0078802656676926,0.9514064434725096,0.8564000089322739,0.8468231929578406,0.9267903239128031,1.1030057135808478,1.0931435169537462,1.2822576926311964,1.474715881432451,1.3102592880933635,1.083041085848587,0.9522571024292124,1.0344365728479095,0.8778255057735855,0.9293760951594408,0.8054993444160767,0.8576353255258036,0.9365322905180815,0.9129109584942582,1.0929101605673486,1.1470271332580961,1.060960881918347,1.3273486878156189,1.2897768287597775,1.0828423338355055,0.9965046947413156,0.9108659591962004,0.8829508437068018,0.8281996803697426,0.8074620476749895,0.8699147502485693,0.8324757692699993,0.9182951806224119,0.83850615718049,0.8843946993034544,0.849888035251109,0.9338660966201037,0.970320121105389,1.056756303173313,1.0422370145123405,1.0374757629956117,1.1328454024498473,1.3019674947978093,1.6608847635841446,1.4358910041100408,1.9135750981092787,1.5531842377310194,1.6631259118386041,1.5717133573436624,1.5439495584180587,1.7733028726927327,1.5251930366836486,1.5936913141997895,1.6615784070782187,1.6533387695588897,1.7243046982584964,1.6616614425122218,1.5982794184286713,1.7256469960792644,1.8128236424704205,1.7117028204870468,1.7491013516490908,1.8928949040376215,1.8731113766087624,1.8164486000798208,1.9325234530492388,2.046072069249191,1.9632717206739492,1.970651129221953,2.2406495799378447,2.307267509495073,2.324944760593924,2.3946791200136106,2.1958751207003697,2.3238696427102306,2.528811288619214,2.9891559435230963,2.7906885304179183,2.360185483348934,2.2941715514369845,2.206221655836444,2.123100750213296,2.22215816528733,2.396202831819189,2.109101353381192,2.0399658427732943,2.3929959232425086,2.344068847418904,2.080855007398033,2.156535460261532,2.557882049985638,2.2387091919432986,1.9860771641645483,1.854757898952134,1.6838555571135645,1.7721565604192444,1.8406048541626459,1.8153957824798552,1.8954451238536834,1.7136524434244782,1.733458580628751,1.8241643089664896,1.7456546003961027,1.7342194991943367,1.7658794359465169,1.8096980122581328,1.801908511989547,1.8231999949610136,1.9033168409140415,1.9234883588811411,2.079860179784166,1.9847977206912744,2.0697678180564343,2.053273890271681,2.0583243253939467,1.9736250645959337,2.0449098299350545,2.239145076930065,2.022417649349959,2.0440715264318174,2.2745587780957868,2.236278642713096,2.0701213537206224,2.408026397190173,2.606758176757956,2.277665147030066,2.298475111945849,2.6472290650566146,2.769053879311176,2.5534373415834573,2.2747246392475593,2.871851022225635,2.537590630433408,2.5372067492278996,2.144517017337644,2.0021806624069756,1.925192196698832,1.962969364110859,1.8095034692895688,1.9210220834065834,1.6651210479460414,1.7675555663820848,1.5097830246734425,1.5939906087407705,1.2402975791473976,1.549768146576248,1.5595683861856995,1.6164525017297535,1.8758307836295576,1.66646827377969,1.6469206759737731,1.7490727330999987,1.5036033418197836,1.3838974343972326,1.6287225726167018,1.4533988797082378,2.1352038753488554,1.5646187522111852,1.6577004051116513],[2.4008495943946753,1.5856269165589756,1.6079798129121814,0.8799418047159737,1.174279788587575,1.0748254702668123,0.8893812475517547,0.9850259709672501,0.8252603307236154,0.6200563670796277,0.6133238909950569,0.7610113521585103,0.6645413512127406,0.5921877491833992,0.7114921549921455,0.6812949041488023,0.7164181934318012,0.830209775202444,1.113316623403647,1.0159257430225335,1.2100662340689234,1.2328537563816342,1.4827405805562526,1.6198707485086101,1.4276260986206766,1.2783460689879276,1.0427236239511142,0.9603548421748009,0.8125322359945902,0.7131882223519072,0.7133904379902084,0.6959420765746438,0.7001749249595672,0.6823232488814058,0.7219752396480112,0.7716949394121574,0.7925232537032498,0.8894712137210691,0.9437459344788657,1.025988454258451,1.1273905061242504,1.1495466985946925,1.1203039042654117,1.4341965871276687,1.788039909134454,2.41524817524748,2.9592697030246953,1.9393917330391397,2.6737454423630855,3.2374752693188658,2.0176052724827342,2.1531802653559127,1.3874028764720094,1.266545411304952,1.4284888012436605,1.2382624661882826,1.3498642340510194,1.17331489718471,1.197835499287079,1.7047411016653615,1.3266072696529323,1.2149347418237257,1.0311797873639277,1.249423312844339,1.2353916273492327,1.0683148990203106,1.2169709251303948,0.9852136711600857,1.1046734321804683,1.0637825355888186,1.1523499205536083,1.3933454744791773,1.1388510920565489,1.2909627386871971,0.9775997425881157,1.2945578224952827,0.9567171985807421,0.8747403262107332,0.8731225793847238,0.9683561729716624,0.8874776518882258,0.9736194755879036,1.023391161785178,0.982484507086881,0.954931568615823,0.8817062254100408,0.920143105113625,0.8594397163716395,0.8431687208611907,0.8172847256586865,0.7889533206612058,0.955871025058867,0.8578368639526954,0.7041566123925924,0.6692364960237376,0.7244017964190671,0.7732348122816416,0.6636610906348615,0.7360873156816844,0.9932534308064506,0.8482042323094884,1.1903602639344635,0.9722985809998042,1.2196393382237516,1.266772511263085,1.2963756253685084,1.5483892946652704,1.648509239151748,1.616708199644012,1.462704257957117,1.3301830674358226,1.0508922227031623,0.891915119669202,0.7723553751175403,0.6414506607855693,0.7425893752607617,0.9201545776270924,1.7169014688662072,1.422718120069327,0.9585463728916439,0.9880212715737124,0.8205094010466817,0.9245019103802947,0.6225409552933675,0.610940318782845,0.74210561298932,1.1172959989906306,1.0764327693144355,1.2699212148251369,1.3709496950566087,1.4879479696049498,1.7059544500922827,1.5910080108247089,1.487398331153032,1.321219360172122,1.286634816302691,1.3716209373300363,1.1123012902803127,0.859896751681997,1.0141287438518007,1.4294058762147148,1.292304889859731,1.2613414628112503,1.072845859888677,0.9935524808571122,0.8233210480017731,0.7837275309546623,0.7404555490633212,0.8205829890878585,0.8576998075922793,1.1609529711037005,1.064071936078815,1.3000150441803993,1.4438789465287059,1.1808769545248496,1.065792580758795,0.8988352528269944,1.0714838521454761,0.869358796505203,1.0152101894718748,0.8843361860978399,0.8124079556898592,0.8852582536865927,0.9183200191588065,1.0986503045941112,1.1682212928421292,1.2190436705934815,1.4546516865191657,1.4540943135877378,1.2359103680330683,1.1942965381123578,1.0153040921136962,1.0123531676686048,0.9725730014792231,0.9381343483784215,1.0230928475102739,0.9061160995879478,1.0823975216095525,0.9896799659269988,1.0926019853226179,1.043732962090601,1.17041779906005,1.2676121722538556,1.351270898092012,1.2958205389440811,1.199528113767537,1.173705400306425,1.4269224569982843,1.5943763485031417,1.6701742796316412,2.08136788711881,1.7505287256315243,1.913246745766112,1.807407254070643,1.8199907150167085,2.0615700367469256,1.7776776900970899,1.9083833085590074,1.965782701713071,1.8888209571406136,2.053660285006612,1.944018639167675,1.8205707330450969,1.9967010749721639,2.1129981905793693,1.9288969140006753,1.9331148972462004,2.145632534342443,2.113950740134157,1.9610985898180986,2.103943858087761,2.238601214721505,2.0876188738766315,2.0492740083653063,2.3925152712148487,2.4705110511346877,2.5281055949622773,2.609053429361791,2.4538918871187776,2.5972604578389045,2.8120537959712064,3.355939230946782,3.159993978997129,2.7541842399377865,2.702651065665311,2.6384158204655215,2.5133013010649137,2.6406977803601475,2.791709337348556,2.4872089289384802,2.4368739585408736,2.740078279153785,2.680419982729895,2.441747251476001,2.4949261825664584,2.8486209665624433,2.5480659434135147,2.259952774258222,2.1797150570172197,2.0397313735067475,2.144024007671502,2.1987711351646912,2.172788098518736,2.260270979906999,2.0362744295404362,2.063968251310686,2.156064078996814,2.0380529958559466,2.0004552863058542,2.0475592844239205,2.0731697976898134,1.9956743861173678,2.023082116658762,2.1637048795999774,2.129237273703469,2.2093883236031213,2.191865251830119,2.3173876639155635,2.33957854069804,2.395150534966566,2.312729797080884,2.4358737796223218,2.606591743440556,2.3368134386758426,2.4104696330570605,2.638959917706885,2.5752913618135436,2.4041538223089014,2.774196037332496,2.967566644477756,2.5815720009719603,2.5880328601210834,2.972988295888276,3.0412360680972843,2.810163913374108,2.4778311899998533,3.0544169175293625,2.649292387747078,2.7218672749625137,2.2998291427386377,2.1868265100149995,2.0356250882497693,2.075432523143406,1.9439713677299069,2.073457421207187,1.8889651404666359,2.0140045402623694,1.6943100972589158,1.8213814569095403,1.4143285719441303,1.691041993222735,1.7361392120430543,1.8084332475805869,1.9050174808266986,1.7669545058448026,1.7218462568236803,1.7726871338921253,1.4817993720595803,1.4075343227805504,1.6821435787819679,1.3265423640981864,2.002163567204979,1.509707335092763,1.7594023047376093],[2.2332216692994877,1.3990845810328252,1.448165514930172,0.7392654352304601,1.0461678912753223,0.9736751031109582,0.8205391316427892,0.8983023163714112,0.7826998407333807,0.6235506811699163,0.6305792966491185,0.732672682294245,0.6671864966417506,0.6267677669157897,0.728095299615263,0.6816850966827644,0.7262192864763202,0.8036489928575735,1.0400634383293086,0.9406018663305286,1.1278421648359556,1.128893600525712,1.373997601673806,1.5131517077394592,1.3274085099824544,1.1926362348730533,0.9383876890952471,0.9166224293772577,0.7912611591499961,0.6898733548232979,0.7066948768446246,0.6934820685512995,0.6878304855644576,0.6850060146273669,0.7175731341655891,0.7462470265419662,0.7367201923837727,0.8027611271864877,0.8406266849064363,0.882277051527715,0.9906559623679323,1.0070410167685198,0.9597429979145502,1.2210547833484515,1.739053421957661,2.361831502914746,2.9297442345266136,1.8085016599689132,2.5367149904248993,3.1031593464608447,1.8528322659644063,1.9788543335334086,1.1831152624090155,1.0851111526016464,1.2722873210897665,1.0366411640268827,1.143498259442571,1.0025072962176544,1.014401713587338,1.4839649771955377,1.1587330451038582,1.0866748013005203,0.9386541089014703,1.1435141855029936,1.1041492981700107,0.9786253061668425,1.1443327140409794,0.9211346254616685,1.0563272878152141,1.0400985118374266,1.1132733862941275,1.3548825458900284,1.0944946679947587,1.2318167062452758,0.9415667256719353,1.2042364933439065,0.8900561410740813,0.8216386295552555,0.7976672257191834,0.844363105573179,0.7964944906672731,0.8733866733757207,0.9452044456138657,0.8645905771615112,0.8156122423871033,0.77429203532228,0.8113921722481403,0.7828790047580552,0.7760984398850181,0.7968074882509243,0.7662366313838274,0.9057885261588353,0.8341263007399391,0.7075759020048538,0.6791732292236841,0.7240130881950049,0.7790123825213975,0.6409419715750089,0.7021197373902038,0.902516338591433,0.8045972588536343,1.0946676969652924,0.885060338286165,1.0903519806973927,1.1116390793112538,1.1479860072821801,1.3903824602223114,1.4888095661712684,1.4390121163089875,1.293884746345077,1.1848841276560738,0.9416617804767822,0.8093505598616124,0.7071535524666062,0.6307993070193162,0.7289578291417222,0.904004776471842,1.691719592273273,1.3547458764130225,0.9317525924343744,0.9650552636448881,0.8129844653685968,0.9019625887470516,0.6233648021538957,0.6048047986236669,0.6905612235538993,1.0571620009466955,0.9593346037429735,1.1354365444325003,1.2164439503752627,1.3157658814663669,1.4996874562346583,1.3995054996361775,1.3045810659067885,1.1543355046077277,1.1559143215543854,1.2450562671515555,0.9864595504046061,0.746707455426401,0.9113479042137456,1.3370520211600894,1.178174524377755,1.130994185750887,1.0030047810211649,0.8997822126102946,0.7662951250109752,0.7400891112639999,0.6918513305332739,0.7441109373565463,0.7938853808868344,1.065288246999988,0.9632203076863158,1.1968672674271856,1.3365854121727199,1.0791353651031645,0.966032273427125,0.8190284411122859,0.9889219813365187,0.8001505397376735,0.9124216077355447,0.7727161185175039,0.7327379686814831,0.7911096185942954,0.7863197950464056,0.9522339105289774,1.038868503272555,1.0311531982216968,1.2549996818976354,1.2645492847220356,1.0470230376797092,1.0018222484268229,0.8449191538564095,0.8353076007655005,0.8222582382608963,0.8072558546269547,0.9042289286910948,0.816511064957121,0.9746643798088606,0.8624481971810066,0.9482843716607761,0.8750717086356639,1.0037162326221518,1.0648083755371118,1.1463173219464362,1.109044723382274,1.0352769996727722,1.0122056578032952,1.2589182065982731,1.5306520514896806,1.5457752755965033,1.9725171529667183,1.6141794451108415,1.772926469307444,1.669283994193478,1.6503240790630078,1.8765859296968368,1.6037219679093577,1.702454835374602,1.7469919206543731,1.6797522811811516,1.8061493338214794,1.706734286947757,1.620346402509949,1.7704355378375807,1.8625441252471033,1.692917871155037,1.7183200643619878,1.9070403263882305,1.8607190571272807,1.728611341589427,1.8695328201652583,1.9785161143491923,1.8300238246494478,1.8013667283030828,2.15655125225794,2.2562088951282115,2.2488508112328804,2.367499828541039,2.205654409609586,2.327807312024247,2.4916609844559536,3.080677263315225,2.8490081618114176,2.482989180327894,2.4169533796985636,2.345190461584501,2.215178376032019,2.3501532740735707,2.5104704819475097,2.2239782635858276,2.1638181384984487,2.497119625175589,2.446187685457918,2.196412295021087,2.2508751788699564,2.6201505210233087,2.3318861082580353,2.0637887095994163,1.9622188429987981,1.804560417049176,1.8790291737048783,1.925144638699326,1.9138528998158484,1.9675021204205991,1.7850253825228697,1.8064961082278148,1.8695166211039427,1.7677521053770338,1.751082196965586,1.7878169604239995,1.8106145653937926,1.7415595975481677,1.780211882946726,1.9027151689926438,1.8665078694891282,1.9613779192369614,1.9291729316472714,2.0275853253187486,2.057770971081343,2.1019374219070035,2.0281310635262533,2.146941856708889,2.321902882133298,2.0707556312433315,2.1400889805542143,2.366551316004602,2.3234851127974534,2.15285638705469,2.4996768700005787,2.7284428644872785,2.344786010830394,2.3488326260762498,2.684200213455854,2.7766462998676573,2.574006528460517,2.2651759630887183,2.8509603974315376,2.4777896421852086,2.526271452532133,2.130580140414911,1.9765189902310205,1.8385793403229402,1.933342345889543,1.7855516956829134,1.9150848873074446,1.6731194653948018,1.7997772059786896,1.508718901242302,1.6657442057991945,1.265961519209206,1.474024252513452,1.5502785177698826,1.5942512842144003,1.7274267357598672,1.6004144149778732,1.5005229837738436,1.55067054762036,1.3677928326980036,1.256281630190611,1.544307839795921,1.1462604774168899,1.9062436563180978,1.455136541024575,1.773123841471898],[2.2432596543536807,1.5734346789211522,1.616750232068414,1.170474462295784,1.3439756468850672,1.325112504867207,1.1946434007906672,1.2542222339157538,1.1988582088623059,1.0425036065811988,1.056410602917891,1.1513325926569409,1.0280606319897583,0.9927964459557079,1.0461760117031356,1.0162970914792708,1.0153642245913401,1.0129461396391963,1.135349325705611,1.0535800735214518,1.116465929540276,1.1334994715488107,1.2702852376782325,1.3471263905399666,1.257729287737684,1.159829057852553,1.0515752191215486,1.040450320379642,1.0228266953649137,1.0153224956875737,1.0209010136081473,1.023994488811623,1.0460003734498433,1.0116821799302482,0.9938622970511007,0.995263783558405,1.0154424450540225,1.026141908178658,1.0134601259523666,1.0278095598733947,1.079749318607309,1.0783068907367643,1.0327316180408892,1.2345621815551115,1.623010798024766,2.2535421640644464,2.723720582577707,1.6890341613359263,2.580037165763455,3.0137596181702357,1.790101474999399,1.927242484188299,1.3137646797837563,1.2561954401101245,1.450978745087186,1.1047937007160917,1.1591563595397325,1.1595481475545468,1.1573297466552959,1.383304708835322,1.1312804917652621,1.1426024449235375,1.094751625198511,1.1685291368879953,1.120565778570293,1.0566984520106129,1.173595176679799,1.0762213101684672,1.1762518542660794,1.2056546854059922,1.1754633371032646,1.3568693133939336,1.2442509117182472,1.3411180458047465,1.0705898581478885,1.4091907422746583,1.0658666444736573,1.027744528434769,1.0088519078268463,1.0087293651139282,1.008991302097515,1.0522304531238718,1.2531128942036214,1.0812186398906072,0.9936595125877863,1.0213446685468175,1.0089424192981036,1.0212953418585295,0.9952191440485411,1.0572798564412162,1.0181905451849003,1.1598918304509893,1.0939768499004774,1.0384682035836053,1.0266351621978476,1.1018252323328774,1.1073652932976987,1.044054721783821,1.0937542061196486,1.2960432217060043,1.1689332249822826,1.397590530555561,1.1631257052669415,1.348212669219482,1.3133411805248367,1.3611598432584766,1.5194638849632267,1.5519197256325015,1.5640788945068618,1.4661123473417617,1.3953253564610322,1.2022864983611208,1.1526986411301419,1.059651148710937,0.9686901152496973,0.987473379619043,1.0412074245344822,1.7104521315374261,1.3390570724222493,1.0574600541044217,1.078488023833523,1.02121166399597,1.084303744155261,0.9608621375427693,1.0089871489823896,1.0401438822771354,1.3223496358967841,1.2182420612990372,1.3290597374437956,1.344530101556407,1.3993384820353045,1.534115557755972,1.4146210200961045,1.3588891055671029,1.2565206912141758,1.3263217490424313,1.4245129749747374,1.2044802525583311,1.0431817579593985,1.0390224045927459,1.2101696023584547,1.2419189726774718,1.198004672096295,1.114765485673906,1.0560199399768124,0.9846844664010098,0.9778785177201701,0.995828387342859,1.077352845883369,1.1464363427221953,1.3562884339940382,1.2996052948752608,1.470458046993806,1.5714436624742898,1.4264041528401823,1.2997848293636454,1.191861924942802,1.2915448128152942,1.1246966179964193,1.196921956668153,1.0442694412493467,1.0117064456299094,0.9936412534861423,0.9767712517090167,1.023836484147196,1.0926001111647328,1.0324877681949027,1.2093063871199432,1.2377770021966452,1.1111396643849185,1.0716383802119975,0.9749452973971124,0.9937575854578088,1.0395321353854223,1.040955073999016,1.1538681259068742,1.118621152919089,1.2462185142508329,1.067815541207129,1.1630620508841178,1.0320947547276818,1.2036660953906917,1.217422702378483,1.27172503387497,1.2503252251298889,1.1515694824924663,1.1061815664091528,1.2855876714062,1.5462292492290495,1.4788743123746844,1.8587850573610747,1.5931500251467186,1.6934237478588094,1.639689818663793,1.6250342697597648,1.8462594796916993,1.628412001773491,1.6574008365410247,1.6937889367865637,1.7284265407354853,1.7202139684005613,1.7030694382712985,1.667533328474563,1.7142423215986755,1.7622438373494003,1.715194468175394,1.7393675956541437,1.7837135730158689,1.7772168751320767,1.760951577366028,1.812935728116431,1.867824072427983,1.85738914833793,1.841231651922377,2.0344737509148256,2.097325488803645,2.0162159477000055,2.042120381125294,1.9207860491559858,1.9862096523779929,2.102419729882935,2.5426275246723544,2.317146354554204,2.027016745131952,1.9772553473719603,1.9344655572630436,1.9665134393853008,1.9927339029412647,2.089236502771024,1.9213901676095069,1.909318946350526,2.133612124281455,2.1040712845363116,1.9569716920146798,2.010719339255366,2.300938556542209,2.040233630622554,1.9536932148530954,1.8042514393365523,1.698888133507877,1.7485068940687745,1.7934392476157632,1.8321054280430213,1.8799353709852566,1.7503732823103093,1.7719617543547137,1.77733001215902,1.7408337790254695,1.7891725719051663,1.7471432243731166,1.7592212403473915,1.7801286626173585,1.776029279415471,1.777065307101055,1.7923377593208065,1.96310361531824,1.8039247120565236,1.8341688736348456,1.8231405004417518,1.834857716138945,1.8223363603081413,1.817804879832895,1.9455168667600504,1.8310135553155678,1.844696829614241,1.966205386544943,1.9510269625839562,1.8848849789848996,2.0899975795574424,2.2333234967258404,2.01686515036357,2.0864767121517107,2.256276831517217,2.381775604595636,2.231346662072327,2.0490586623262503,2.4712383556018027,2.2443481467534765,2.1760863570449556,1.955567279350609,1.861951345098833,1.8647099943314605,1.893884414828949,1.7732952391011407,1.8680644319311253,1.7012655795825604,1.7451023322189674,1.596348013503866,1.7011109791767598,1.4339965615450463,1.6444957956946928,1.720013120439007,1.7488761500741006,2.0276257553921506,1.8652973604206078,1.7388694329639158,1.8304145816923052,1.6321279370413226,1.4300805530419138,1.623217979539321,1.4178341243420234,2.1057917099323884,1.6019807580592194,1.6917057056991613],[1.8183338821091786,1.1178327091373021,1.1992072432057277,0.48235036057978525,0.7926849998212786,0.7069214751096744,0.5765441692898171,0.631150317058398,0.5666526581149798,0.42107155242240196,0.4327828905397721,0.5355801405521662,0.4791927457237089,0.5105872524116387,0.6707225997163433,0.5613527692764235,0.6515182519241902,0.7527474055183632,1.0064762458318832,0.892110791835377,1.059908398588431,1.07788812907806,1.2933514134901463,1.3977173417434416,1.248154060158415,1.122728428685611,0.8897647626899636,0.8413973632083293,0.7287950504590087,0.5620644833983967,0.6379454330725509,0.5008283127585508,0.5287914092489318,0.5744303212474599,0.5647445686798984,0.6356423424104547,0.5772138764732961,0.7071111625808549,0.7308052523130542,0.7475651969834347,0.9060553135175462,0.9473230933148733,0.8956896312306482,1.1746808935199253,1.6353835015438825,2.2387184437913112,2.754220093385546,1.6837516785622713,2.5223155933975274,2.9819335736828676,1.7217421529646695,1.9493879843429927,1.1721171871766953,1.07959120039676,1.225077068568868,0.9621248545141322,1.0604696994516916,0.9677930063583842,0.9763224667468045,1.3726462230396277,1.0724203893289945,1.024047546334679,0.8997974722430121,1.104096890762513,1.053238133137932,0.9275821311296784,1.0928267964418625,0.902727867586693,1.0260862935090547,1.0178670881288916,1.0809736920652118,1.3163828092994112,1.0934433124485943,1.2134573113697786,0.9218917918560154,1.2723310763424183,0.8643050789809383,0.7659338715833028,0.7310711729706856,0.7796822796724925,0.6369279853558389,0.7321727996618531,0.7832782517439826,0.6451172305256244,0.6197196538680384,0.61636992383115,0.7050063126800666,0.6287528080702833,0.6953111340137691,0.7211025115296225,0.6924998985862106,0.8759068887136271,0.7909153912554373,0.639389809306775,0.5984342171546246,0.6871429370155053,0.7340695437229229,0.5102563771171567,0.49756865077336565,0.6297801913329562,0.5492405832136762,0.7898265764835862,0.599988591927332,0.8053055624569044,0.814383447823268,0.8647887936359964,1.04638214381946,1.1661068675335466,1.1247266521220582,0.9923573511243213,0.9174190714921062,0.6996336484004202,0.5665069770522457,0.49206510817772353,0.46651689524320733,0.6471081580570232,0.8242236244947717,1.6858645177387985,1.2945748473619914,0.880258663559137,0.9296171527591498,0.7635653147475561,0.8784671183020274,0.4925998722432668,0.3851495453592285,0.4844087094012924,0.8753106877233008,0.7240157659550102,0.8925079320972329,0.9539235786612096,1.0425802164448725,1.1828167501222215,1.1246554029653277,0.9981643803216456,0.9150719767345536,0.9870196442643768,1.0330522413913135,0.8538144931135484,0.7124635395149364,0.8504128647200666,1.1804515925404309,1.1090960451261551,1.0994855242987558,0.9447053988204628,0.8438123740573628,0.6646037351822274,0.6140798955178721,0.4907629747028131,0.5011171710129312,0.5495081110104895,0.7740251845109425,0.6844752121714361,0.9046840166912526,1.0576934244352554,0.8822113704317077,0.6704531352426779,0.5478200741607347,0.6755306195654432,0.5361441773963138,0.6558447339820328,0.541437857127548,0.5673589864434089,0.6603951640862831,0.6411669620930545,0.8304178824954774,0.8961075983893425,0.8669467505263141,1.1200187851780266,1.1338526804580114,0.9305643283041536,0.8433698176587217,0.6890842603117202,0.6706230559960732,0.6192751725372682,0.5782968382229321,0.6373730943167762,0.595432244038801,0.719734211033169,0.6174844334194227,0.6792741967006468,0.6434541365478356,0.7502298426398927,0.8467524217473197,0.9541909333584938,0.9208477414080968,0.8631294813512134,0.8698361575169917,1.11112448033562,1.4596859293220852,1.3392891121871782,1.812334654420384,1.4771002902412256,1.5751614924385775,1.4817807838024495,1.4295298606952913,1.6566640453281272,1.4125692441262672,1.3922079181750278,1.4028732884433444,1.3818010871633382,1.3646690575525966,1.2978218654522158,1.2727211466469766,1.3488214775236147,1.3739399953323868,1.2933635190148662,1.3484309572827973,1.4217145645598894,1.3731151271994553,1.3724199653500329,1.4563892733024877,1.5081047179963476,1.4787635028616808,1.485278335926739,1.7535115652335116,1.8320684801615739,1.7129212456932397,1.818402621562569,1.6515189819621694,1.714001401075111,1.8827958294207765,2.3934626848885134,2.165385973305285,1.7917743244366757,1.745474451373805,1.6912185670517437,1.638981321632568,1.7589753856948929,1.9044213730290112,1.677698449996491,1.6652408932564537,2.024862302183036,1.9821773130525981,1.7612704448554835,1.8436151350223189,2.216446055458033,1.9536372247922202,1.778256608338435,1.5735250522134405,1.4009048149387509,1.4270282242254844,1.4309011377928431,1.4532330830598819,1.4565893279989979,1.3605686248043585,1.3663461976532187,1.3571821954062282,1.3013037919562749,1.3535028251385406,1.3070106126173298,1.3185758254251365,1.3396043667337947,1.3556895195915328,1.375891979728337,1.3919999698401713,1.5865579171834021,1.4259487994026134,1.4549750132123742,1.4629408857627884,1.4762848106900528,1.444897450357779,1.5033696703587334,1.6598077352973535,1.4995220599562735,1.5524060726238855,1.7392469884214234,1.722173201358987,1.6253845517853267,1.9093093632320037,2.131724819489203,1.825893770708873,1.894780675239081,2.14583415119787,2.261791610433185,2.1027173426961463,1.840575413516195,2.4323719849804366,2.1481897720660554,2.0179800472100733,1.740173012421135,1.5610592274197845,1.5363136107369686,1.6495893734680782,1.4774299417419505,1.6274658298032834,1.3697725191343693,1.436050557985444,1.2174424277948992,1.3797288072595786,0.9950472109430283,1.1501063996605796,1.2189125004290131,1.21656422477152,1.5578059326329399,1.3267372309228238,1.1968769927559058,1.292862171869888,1.1210481571200581,0.9123873995439469,1.2392119283197824,0.8905006782867648,1.7783641956436818,1.326872715069671,1.6056300068471974],[1.6405821583391338,1.17058335933958,1.2676130455008765,0.7084107931329223,0.9263669280644784,0.7911762988800127,0.642433345652354,0.6817134769769599,0.6508202930353295,0.5344142711574495,0.5397482005860823,0.6363306394633429,0.5669203975121555,0.6111124052599186,0.7671718254154182,0.6349080683232671,0.7321078362002353,0.8323721826905841,1.0495628558391112,0.9125042774462208,1.07173730969272,1.0574652939636873,1.2690186656046947,1.333894052576423,1.1764791364212102,1.0925343481436667,0.8736022586756229,0.8316839437686848,0.7495744463740028,0.6215312010683813,0.7498191762207395,0.570743203961582,0.67464803027703,0.704647538687137,0.6408779224087721,0.6976118943088795,0.6217187542413437,0.701883527675385,0.6993049002173812,0.6762028101466864,0.8431937121624697,0.9402154764102435,0.8916447387484078,1.1828271998587967,1.5731131837040264,2.110590276067889,2.596765464857678,1.606644967600727,2.507711915533643,2.866074125072614,1.6109480132907994,1.9020754250092398,1.1025374654976638,1.04370440467476,1.1008158514477844,0.9305978624012078,1.0515504036396601,0.9296352506862271,0.9494681776505817,1.4323707435566795,1.1003134687821012,1.0395330568608567,0.9523810093758054,1.1667272527917063,1.0841598734124622,0.9618719297051491,1.1619101992367602,0.9802367897254902,1.10452719917236,1.1075658217438864,1.180173266534391,1.4323419644177682,1.2106339706479257,1.3313884138589933,1.0309436673698804,1.3965301293006214,0.9325433333585621,0.8417329264857356,0.7933452963497134,0.8202299854048457,0.6376722465075175,0.6746760924975828,0.7536138940807302,0.607429121540921,0.6040549152946297,0.595840591442801,0.6883790538451064,0.6688262883679625,0.7381528679223581,0.7752366884778746,0.7913279295766947,0.9832772556591375,0.9130980705660153,0.7573945692848137,0.7140665953379953,0.8276655613975642,0.8577263325976971,0.6805035559786466,0.6391194711057439,0.6841269409726964,0.5806678643788202,0.7685845463466822,0.5897074707786184,0.7811767799042318,0.7733439234665891,0.8441647476051394,0.97862852475269,1.0795127532806077,1.0651913358940663,0.9740178640170354,0.9186404454619018,0.7198525501190729,0.6245038710760425,0.5249852012348522,0.5319130614593187,0.6388314810511843,0.8057387509939185,1.5544424842212985,1.304049226363664,0.9119409833936889,0.9580056472171432,0.8119601803002316,0.8830686479285315,0.5460340448940707,0.49295474869025824,0.5324209518208951,0.875759372119635,0.7390682764341394,0.8528460788241733,0.9117889706331052,0.9978437020101174,1.0942865772382653,1.059644261838975,0.9287561303011161,0.8802255404198247,0.9636256543863196,1.0233042375641617,0.7586118322191093,0.7391016823559637,0.8288655594990447,0.9396199979520174,1.0291501303373862,1.0502888869092943,0.840530676394531,0.7596345621595783,0.6442157416366525,0.5937597806232194,0.5126188748503767,0.5366484188230047,0.5770551610787139,0.8042719428502755,0.745101897520379,0.9222354871948002,1.1259482645163394,0.9937206468207677,0.703801108534176,0.610686212921532,0.6760441212488733,0.5557264915276175,0.6558287033418144,0.5407505838123419,0.5511669351128423,0.6009820186374486,0.6004775412900768,0.7657597989336646,0.8075365270416516,0.8093517484827422,1.0704860533448135,1.1094761914952362,0.9159118085634653,0.8070223944237619,0.646707367687882,0.6172500990550391,0.5689349330687364,0.5481385715960796,0.6019052888576693,0.6093345046679838,0.6902097913827803,0.6124931980583831,0.6316467688961785,0.5879461781014095,0.6916268317307412,0.7696199783097023,0.8831426902686194,0.839543745377046,0.7896645446863466,0.7912933386067582,1.0880921632930998,1.5416057874318372,1.3291770459823442,1.8770778240822927,1.5576453571685174,1.594045934745069,1.4886772375813984,1.389882255966015,1.5948854312123757,1.3811389621865031,1.3139239966386758,1.3336333310620159,1.372169563332209,1.2852984405971357,1.286350570810854,1.2800999473540589,1.3125513416670345,1.3420253558217055,1.3505070579310046,1.3975645358697544,1.4143760049136829,1.4370503974674658,1.5049807171186687,1.535581250436668,1.5980185814381485,1.6664045353328125,1.6559483950893221,1.8535369775255006,1.863743068515702,1.752223647257957,1.7585837778385844,1.5956274581307672,1.6504939279386248,1.7642084651115442,2.2617497535674347,1.9835823451579229,1.749463744978215,1.5846301483721152,1.5236730567076135,1.498469357691217,1.592201774581253,1.7401259679994474,1.5259077830491068,1.544051597890315,1.8763003735766415,1.8563216628180492,1.640645715644035,1.6864312849322005,2.0768272253248528,1.8235820167497416,1.6771727604402131,1.4652753658469122,1.2970735328470722,1.3142565232624497,1.349581330892168,1.4008847294548052,1.4064152652271422,1.373588471768616,1.346602619738745,1.3345160515629082,1.3522551831570992,1.4160202967154132,1.355663575859578,1.414400582736509,1.4857820677961673,1.4864048713544218,1.4740827329251474,1.540742318014833,1.7465258742775258,1.5361148140036172,1.5342694309585134,1.4906459768844862,1.4493154454320518,1.4084134663680137,1.4149378206999628,1.564563065790253,1.4559448267582942,1.4423887007977618,1.61139721664366,1.619739046253619,1.5067740520716761,1.739518735051202,1.987458057158351,1.7019328645221885,1.7376393571610198,1.9874050263945273,2.12447171251196,1.9697365823664952,1.7478547332502234,2.3127373341217567,2.06262438051359,1.9446570326348398,1.7053764765454305,1.5506245305633377,1.6087969653521605,1.6417298661378408,1.4667108653971999,1.59768069756077,1.3361367056590485,1.3656372230049627,1.2287588392449926,1.3095043434258895,0.9855441843945983,1.2398271694134795,1.248832258545909,1.2765992167617364,1.8169630235147074,1.4261374891211038,1.3841477216630993,1.5129466954906707,1.2717631944498162,0.9724779765544346,1.1872181516332074,0.9945697063700233,1.753181237510316,1.3300497901673385,1.532738891783757],[1.5704943930703177,1.0271595152257238,1.132370825848248,0.557979044071759,0.7650835412769962,0.6673974648591334,0.5664189861310245,0.5966752314730636,0.6147544860221001,0.6035681226046367,0.6403338688881371,0.6611937785850888,0.6634900945398969,0.7775670398089315,0.9535902006735743,0.8173352231399306,0.8991068647504351,1.059290776328597,1.3020987126267123,1.1433111350058451,1.3391420605585211,1.3096893715698263,1.534289662481662,1.593394982705171,1.4305743867203136,1.3524314880402881,1.0867638724224213,1.0438707845139616,0.9449187144361797,0.7707043415083366,0.9447128095876468,0.7171797049682991,0.8074226149430602,0.8893207571964916,0.8299772576433923,0.8982629356907218,0.7787285765089732,0.8752032773652951,0.8745680493216104,0.8015904739330908,1.0017353160280988,1.1626874585309797,1.1086838021540388,1.370342269522946,1.7567836474435623,2.255070009337291,2.7384425755038384,1.8051615913915298,2.604062470946348,2.9584118142110407,1.7790102017372251,2.032114839547073,1.228981567547365,1.1454907300879635,1.1894541825860596,1.129730383150987,1.276291984792512,1.1106603515143116,1.1563031548564309,1.6965111229626972,1.367026765221045,1.3193734680978553,1.1946122917267517,1.4481501918031388,1.364538512170807,1.2116284950571623,1.4167668255559638,1.231846214906857,1.3552400298104108,1.3347528650615905,1.4237481914034662,1.6842028117154713,1.4604366530974036,1.5584719952111028,1.2769754912638287,1.5836920706925628,1.1737243430127506,1.0847043097918299,1.0134661082283123,1.0352319888170094,0.8170845458709295,0.8193922490593789,0.7647549689551287,0.6311306107251227,0.6826223664784264,0.7098069521775592,0.8694468645066601,0.8269129359165824,0.9562652550033021,0.9884205631249129,1.006273484863057,1.1743229719728083,1.1280527690725108,0.9570594280801041,0.9051903903861662,1.0003260349200565,1.0120511444567073,0.799273177324248,0.7032122738414431,0.6548081887081686,0.6161682218001029,0.6808677812051,0.5663706600962879,0.6679151537040037,0.664390375151609,0.7357417413593033,0.8652256625748185,0.967007968766443,0.9436161816826002,0.8548727180955994,0.802077919107125,0.62222305795328,0.5520769980549296,0.5060251569980917,0.6378331958729717,0.7821593779075199,0.9861372127530019,1.6799962425956303,1.5595858427665077,1.150920726670027,1.1983115239886521,1.013420859908266,1.0540837229800237,0.6766865810163432,0.5344180060950959,0.5024284379241876,0.7673616185104553,0.6221359657906826,0.7460293220952059,0.7910956476750685,0.8960310235227575,1.0144617647949823,0.9963676944534356,0.830996982882447,0.7927184429558508,0.8569039363011911,0.9030133451710727,0.7101859900020692,0.7442716606669038,0.9682457616910849,1.119376427876492,1.0576422477744347,1.203370716938874,0.9956260490386508,0.9195185850297454,0.7925282921351292,0.7162311154205918,0.5924632422345996,0.513975397574915,0.5408471457582983,0.6821060242192338,0.6454533126127032,0.8075331894221014,1.0349359180260596,0.9416623836011124,0.6345357631624641,0.5739999217961221,0.5802535835043875,0.5536277397740402,0.5830466963493108,0.5187576062525591,0.6423562148648464,0.6969284346727859,0.7006595936513498,0.8669019904396708,0.8425954280491408,0.8283956197532841,1.0966038250773207,1.0900042386507012,0.878379285162083,0.7636671612229573,0.6795056343896176,0.64694420212831,0.5601125897900185,0.550153108284441,0.5445585615714754,0.6067336392506799,0.6168482850005876,0.6194482159977083,0.5611343593621569,0.5920057737164228,0.5962089166961191,0.6813671836374375,0.7943564785252288,0.7761550418523948,0.7886574650723988,0.8576213447097477,1.1360987422109803,1.5577581800144802,1.380006534631095,1.9656932690121847,1.5891093908788236,1.614670690725388,1.4795317451589574,1.3810595913517008,1.5972856864511138,1.3288882507337598,1.2777848644425498,1.2815240200565456,1.304142092156325,1.208495816489435,1.1620220641830905,1.1524343867066646,1.206347051092645,1.2281443006388282,1.205578852529994,1.2629514872992464,1.3046503705668637,1.2926152704261564,1.3547630417721537,1.4039868670169713,1.4712631634123312,1.51550710984672,1.5127563386423208,1.7309421745117526,1.7602402026005721,1.676234118970043,1.7626780084181353,1.5616863739336222,1.6346125585544264,1.806906780221644,2.3452484162786305,2.0924806807259944,1.7145177729214536,1.6218109379391483,1.553605292600179,1.4731798622190404,1.6196528594593977,1.7949614503274371,1.5336736948917944,1.5305504648533443,1.9391762323328003,1.895857458713676,1.650808071162781,1.7698579709036533,2.20667700115038,1.9013654340405548,1.7106510041206857,1.4439865924583577,1.253152355612076,1.2668418947213576,1.2714046871956226,1.2888543392445662,1.2860456597185062,1.2491432400591775,1.223774227079678,1.2088088541577264,1.1999201334356884,1.2726559291801454,1.2024509371831629,1.2539725682591112,1.3324839872196894,1.3308578668127076,1.3224150614542418,1.3873578605794619,1.6010085815835453,1.3911412719640348,1.404458884991285,1.3775368139595199,1.352570478810804,1.3013986004933285,1.3569020710680937,1.534793642990523,1.3709528041928687,1.397754319425533,1.6209710581718728,1.6053639027568398,1.487920721704263,1.8130411307112229,2.0695339702316145,1.7291875858561956,1.8084300136229987,2.1275247272733484,2.268750390219973,2.0628177562602508,1.7639984791423424,2.419314585236435,2.0989382365908806,1.9783120477999814,1.6520401836879752,1.4645244343741768,1.4782406753851518,1.5333524447339404,1.3725927101899622,1.5491565400255038,1.2732128873832487,1.312602653972741,1.1043537600242992,1.2190199741936205,0.8577705926604065,1.0930470663407672,1.1054584142081179,1.1280569669447824,1.6567684662079083,1.2736770013192307,1.2407489630983253,1.3677632536392927,1.1345585459553642,0.8589859609459471,1.108743753579317,0.9291902138942434,1.764289294042577,1.2604276940913264,1.546248894885946],[1.4516010923109053,0.9549695782925608,1.1103702192998888,0.5175841192552985,0.7159859028126838,0.6428954060368145,0.5797144909971812,0.6023415821500705,0.6546501856592266,0.6751165203659226,0.7251297467334727,0.7310409357040604,0.7607514705422308,0.8793053512535681,1.0995528491669608,0.979598087435541,1.0478621850410845,1.2329216076647103,1.5049810060906421,1.336135542822379,1.546668777763281,1.514378836590508,1.7232301282984972,1.7711725133819252,1.6132944995145997,1.5373111595313391,1.2525920135943518,1.208115665933174,1.1118042255241438,0.9215618595169578,1.1195483940980582,0.8819509527415316,0.9607283839507869,1.0593991551319997,1.0072663538263127,1.0768259968374276,0.939505472223711,1.044744362337091,1.0520413558308754,0.9813769663892847,1.160650244640962,1.3595828710788158,1.3202054630724183,1.5640468115506585,1.8879664799820222,2.3357108426073765,2.810410578155033,1.9451861720744246,2.67281909654905,3.01140892063629,1.9439386952351303,2.113372750878511,1.4084606432752882,1.2978741397988514,1.3505636715243416,1.3393697156306805,1.4818057909091216,1.3313999289729943,1.3861774484544946,1.9105372764786626,1.5841935141544234,1.5390191789035694,1.4149341546502918,1.672147249516034,1.5759819525863337,1.420641819322076,1.6345670160122134,1.4405576881649507,1.5469327064275087,1.5157028920244688,1.6023312911407674,1.872240569133341,1.6449916621085292,1.7493708154946208,1.4787322406967793,1.7854074709562837,1.3976361430829474,1.312349737346013,1.2243756298943447,1.2526554421311915,1.0130300946274124,0.9970439894407623,0.8707169120292085,0.7777340287818142,0.8329190847815465,0.8730675056362395,1.0593603859689658,0.9821910818395532,1.1515947166822031,1.175942360243268,1.2030404432259867,1.3790992091360805,1.3139105366222479,1.1366226846624077,1.0764900794723922,1.1645876004415376,1.1832319473440243,0.9287657169815406,0.7955813697624627,0.7060988398728306,0.7175740317851225,0.6760785171009522,0.6370004079133854,0.6496811971640096,0.6659237602635633,0.7241841075743463,0.8401154835930494,0.9683534256044776,0.9423764415817178,0.8275990455382455,0.7782596799252223,0.6328312061195932,0.5845627812017913,0.5865235468125157,0.7303013424044036,0.8738315959991787,1.1088238389214349,1.731709431263187,1.748535024134747,1.3312500789592272,1.3517598810937426,1.1566785468716128,1.1557278078472737,0.7591532939135406,0.5860128536570864,0.5580467433673854,0.7716466250140768,0.6546926305619143,0.7589924732333468,0.8118742032984912,0.9710511071857454,1.0747665427521094,1.0873270526660184,0.896334747020788,0.882518813235979,0.9047875413920126,0.951132472115447,0.7765832625947257,0.7480558533883643,1.0855841518767098,1.2851194391381628,1.1545163062863635,1.3227490439265106,1.1112839388309297,1.0609789999458439,0.9428980565920534,0.8491573788890044,0.7251897059070537,0.586799455671213,0.5722011046156004,0.6624796453277568,0.6307046554464787,0.7613916770798387,0.9843570856790086,0.9727295334001421,0.6658650027225648,0.6316005568686723,0.5826192048517331,0.6357566017305682,0.60789235734144,0.6088861246490154,0.7813118523227321,0.8298961850754546,0.8487306406114018,1.0024547767982546,0.9383103465348416,0.9352200917002255,1.1927044365844923,1.1843654774661456,0.9645897536982705,0.8648789872507,0.7703410147250627,0.7577299891711248,0.6721016774678579,0.6605879659375561,0.6234927248220293,0.7079012885208718,0.6676347875689537,0.7480035635728777,0.6530616307435683,0.7209641816696074,0.6580677065123417,0.767722702421489,0.8953719628735918,0.8906958819647369,0.9240831239760232,1.0048714822430085,1.2612287797557944,1.6837399318725983,1.4932963289771508,2.150773017147504,1.7739381845937285,1.7761733159771413,1.6129796361854623,1.5064183664483497,1.71617252720869,1.434214440260116,1.3842575675549154,1.3730194684323884,1.3537898300291906,1.253359410700375,1.1626076965965029,1.1587811808021427,1.216992485720295,1.209358862127444,1.16444699381431,1.2346281919757125,1.2716746456378154,1.213123316484148,1.2815401614597193,1.3296068567002401,1.3703880763325587,1.4099008286065164,1.4363271474632293,1.6390873597634066,1.710335884812223,1.5806020688889637,1.7613598948036904,1.5471072298929085,1.6002203004904967,1.8153745713236453,2.384775859330174,2.12570725154329,1.707126978483996,1.6443787142644832,1.590775455652509,1.5053113158041604,1.6876989272225404,1.871440992058596,1.610803279913944,1.5886956081658548,2.054714342014174,1.992060080393738,1.7367295695752447,1.9163706969270031,2.3464374576511546,2.0484043991097223,1.8556776623795346,1.5428918496575321,1.3316687430409697,1.354898413230426,1.309249045863399,1.313316143666676,1.2683044840281925,1.2640961052738944,1.2278577289946508,1.1786264976771235,1.16484453470262,1.2277180454671912,1.1449025019544492,1.1725315687731748,1.2530462484443845,1.2435972129530204,1.2213923707143972,1.274409049347459,1.5103898384857373,1.2821844814173362,1.2906421349588273,1.2939117260545958,1.290603705513186,1.2608177018380193,1.33612719694181,1.497472282500787,1.3366527911282775,1.41489106206224,1.6416368265265155,1.6114218342122786,1.5335561341930128,1.888176342186304,2.119204155573186,1.7927612767948509,1.919814608672076,2.237178163298943,2.3564840490013843,2.1556399114606073,1.8288554202758533,2.5480627017091595,2.1898892841788986,2.0228932958264085,1.6781188192332848,1.4574274736658945,1.4296521890572396,1.544732224921823,1.3955343884458011,1.6076392141153382,1.2930395732799764,1.3487877907459755,1.1263652030732516,1.2656649332838652,0.869712676888195,1.0683339446404343,1.0175771525434072,0.9978212288086911,1.4954405209990562,1.1075089682469563,1.0473515724054165,1.1839789073121352,1.088178131799349,0.8008589836061354,0.9966894862604846,0.8473494030094892,1.6770100927176412,1.334418289133813,1.673291832683955],[1.3006961006078064,0.9305819521385195,1.0651495373819697,0.7021527290648663,0.8038546462436278,0.7658511246830834,0.7450757579383668,0.7732644479387987,0.8503153071025292,0.897321651367556,0.9471748077485753,0.9528201943465806,0.9727803817149064,1.0804021719066226,1.3081174294728652,1.179335421482291,1.207894461961335,1.369575325898406,1.5960020257706564,1.4275972375613215,1.6173565037305384,1.5794861817524086,1.7662028327308186,1.7861015803821654,1.633013999640811,1.5804304199316845,1.3206387747619792,1.2942320224137143,1.2416473524558802,1.1043926941502702,1.308515945823531,1.0940348236483082,1.1834721405819366,1.270815743717677,1.1950803928439044,1.2450850548623082,1.112412247847125,1.1708107728474717,1.1520736604868405,1.067867998941061,1.2136273696923296,1.4235814363731532,1.390052638996113,1.6077300307382456,1.8791392071809117,2.2832798901977367,2.718873186723607,1.9283960123939012,2.6645343088600906,2.9400400374021523,1.9533118724489436,2.1314963291977915,1.4768527764287411,1.3921047546722818,1.3976952854709055,1.4172271144337991,1.5393078928227606,1.3947139032590212,1.4630285508897127,1.9622261335116853,1.6603007768991231,1.6297843452021863,1.5408014242570296,1.7622356364305227,1.6557623795941283,1.5291929276380454,1.7294088955086386,1.570726731098426,1.6656498500596741,1.6615865960074778,1.7361919102134729,2.0010232803986816,1.8028011733946587,1.8770365596999037,1.6191859372728676,1.9508305068516287,1.5355667560687074,1.4785784472278574,1.3890171086931276,1.385838432681633,1.1622750211828954,1.1302990112026408,1.0303765417022595,0.9257543942936041,0.9683723362150072,1.0100721377761768,1.1857705387377075,1.145083513221839,1.303035926589696,1.3402264686268033,1.3794855106588801,1.5631009199211288,1.5178379020462869,1.36879379967705,1.298200441109493,1.3941999909056992,1.3970725578561785,1.1706980967388718,1.0487459519095814,0.9452218238726945,0.9521738726024358,0.8307761058177607,0.835783877601282,0.7839804070645306,0.7678001080471714,0.8107613356786412,0.8530369772290359,0.9525619982430051,0.9165172639072481,0.8653082466311601,0.8356134903503223,0.7535904991198054,0.7543286702889924,0.761516284762068,0.8983765688958548,0.994405496548954,1.1857598168372514,1.6942844926223688,1.8021268395563979,1.440855026527641,1.4629616610643448,1.2843888599057587,1.24015657021496,0.9124226367250923,0.778073229253389,0.723075064015627,0.8382511085816854,0.7569487717698992,0.8136366469140621,0.8603345360161749,0.973408800976448,1.0444392966857319,1.093137016994376,0.9224256982924064,0.9423515743391743,0.9978165636481146,0.9926140801297264,0.8684065416584846,0.863085161959593,1.1436870621803783,1.1665109833257055,1.160158485898888,1.3224963504322018,1.122690238309508,1.1086011004749645,1.050168261008154,0.9679386639724278,0.9006553830537016,0.7720885056863093,0.7795536242946669,0.7863266935325104,0.7965782080139225,0.8698277886340632,1.120950355418255,1.1640500773582314,0.8547455417581687,0.8560901801050858,0.7583129104452923,0.8349436185729368,0.764391658533762,0.743934887969456,0.9143245111268365,0.9106041395481139,0.9458861123329361,1.0448086565792618,0.9652386379876607,0.9627584161679439,1.1951209988789915,1.2093656028125768,1.0174660760404948,0.9163256864562366,0.8554374161733713,0.8408274272793006,0.7866145983432655,0.8002090730327917,0.7763786459515868,0.8842560433225324,0.8471804937755958,0.8744488206004358,0.7949580747710155,0.8449246300451091,0.7543570218033425,0.8121549782435225,0.9238656862638135,0.9242435289410956,0.9587419475033753,1.0374323543580057,1.3145977836741858,1.7425804794096742,1.5392650310711136,2.217269286986669,1.8628345280730476,1.8055030994792216,1.6294508862263812,1.4918498694217877,1.6641586997979083,1.4071918251201423,1.32375112721935,1.2991379918122479,1.33481446711518,1.1616914641130973,1.1016390956391702,1.1129109521739489,1.1254949950989295,1.1083092854243746,1.12475468635219,1.1663311558599871,1.1736106002423679,1.154641032999032,1.2634615958573479,1.2639148652457282,1.3074187911095314,1.4191158701818676,1.4204381326572613,1.575669668167586,1.5914635740916492,1.46457021395362,1.619443200293951,1.4103439884823075,1.4520870109921713,1.6536788163225273,2.2203789075475884,1.9500421787573903,1.5715584244532317,1.4860387868078535,1.417058685011335,1.3416136600482653,1.5134164536991184,1.7046578798723573,1.4537029946367948,1.446689523517761,1.9212820850795165,1.8640582724918346,1.6155355714092716,1.8007842709841149,2.2442794253834895,1.941946320070479,1.7718763595879026,1.4415281429592053,1.2457063682532683,1.2395663028532626,1.1877949000694512,1.2131964164958298,1.163580690811047,1.2354559083730094,1.1630808991040702,1.0919145110271948,1.1324729529637314,1.2256308295272391,1.1079009059503866,1.1802841801834012,1.3223383119401342,1.265599679971174,1.199978790538982,1.3117729045028692,1.5612771301513098,1.2567368254244933,1.2300431991795844,1.1823969513095955,1.1572047577513858,1.143809702797387,1.1958928957428843,1.3456169832041927,1.2152503557892744,1.2698505488360134,1.4840685823549373,1.472698203359804,1.3945335411193498,1.732785457338174,1.9865046236533204,1.659672844534906,1.788544776950749,2.090662999833491,2.224237023576887,2.0255270387676276,1.710959277047463,2.4250944976819095,2.0799798545584753,1.8805485276293714,1.5589784233985002,1.3468764338435515,1.3540128796137216,1.4342510833262156,1.3034774017391937,1.5291455994451781,1.2349634825758418,1.2562888568067156,1.0655036845504064,1.1967698558319015,0.8749557350418949,1.08437442580778,0.9987482587033791,0.9914571020082931,1.6065168145710367,1.1408894635369329,1.1221670588520016,1.2756560579393235,1.1906514135464301,1.0299885437155762,1.0799153525184788,1.0233990822348633,1.7376874987862156,1.3679717366498882,1.8237069670583044],[1.2906373597432461,0.9309380948393979,1.0968248726057195,0.6739777398573324,0.7899265467072752,0.7445199687669178,0.7371608629809515,0.7617334174312452,0.8502585210897451,0.9316582497606917,1.0060936200944848,0.9868206055384431,1.0341199157539946,1.1573339099009923,1.4197711697411246,1.3009508639331424,1.331831964691469,1.543815862182108,1.7849802184610841,1.614465330376105,1.833753152987438,1.8048322027623644,2.018892670250823,2.0315893008190815,1.834459523040432,1.7772501509275431,1.4878705911023689,1.4480393377842722,1.4002443765210464,1.227448847181035,1.4743680915694684,1.2175941732321653,1.3291949631590594,1.4608495514609914,1.3641446587861126,1.4180219213174121,1.2407359120077404,1.345363996504123,1.3065048178435845,1.2423012730822858,1.376448778867516,1.6288739771584657,1.6244100916273323,1.813833909795532,2.0508858682647326,2.390312528641842,2.829042362561968,2.0932271610230484,2.708758723279244,2.9753842527971446,2.1721887164150573,2.2366721222667483,1.7039646721476698,1.6053195778142901,1.5885553037931428,1.6346873147126033,1.7352876433577953,1.5956440451025227,1.6842093001355534,2.206566732835588,1.8657721578230575,1.8375732978309014,1.7871068978597473,2.036884304599735,1.8649062722093581,1.760906215687341,1.9600966643259297,1.7963936739257511,1.8801235799789615,1.8960703506324128,1.9683494809930797,2.235410210798288,2.050298057639873,2.1226434927459175,1.856424603565097,2.1615273488472746,1.7784413053742014,1.7230644115039038,1.6201816109133853,1.6180391408533423,1.3643088585351146,1.3163519255749294,1.1986669686907783,1.0910484396174878,1.1186660810488223,1.1760532305599418,1.3706774107100725,1.2995995671762337,1.5030873792801682,1.5528171156571957,1.6054281741278946,1.801006119978824,1.716571750805169,1.5523293683466117,1.449987287246504,1.5520889966758644,1.5121110493796797,1.2858773596356965,1.1172877201304174,0.987394958825085,1.0162230020999965,0.8686235881178035,0.9247173354531657,0.79962454752842,0.8471273463466742,0.85218476108511,0.9172928207975966,1.0443771064286298,0.9961150510926657,0.8982795658508831,0.8619778703713515,0.7955876582805459,0.764380286479852,0.8112604413518139,0.9720551586868702,1.0637283526254748,1.3024956771307565,1.7526284013531723,1.9605765758053988,1.5963193585712125,1.582785747003085,1.3862343063930394,1.2960264832027708,0.9632660450276115,0.8250609519934247,0.7730778316192142,0.8638128068138391,0.8157421354029389,0.8661792463897463,0.9353652799466939,1.0811785375984315,1.168976622646585,1.2439914051065917,1.041475628435726,1.0581021802174742,1.074570666370536,1.0749241614328644,0.9513062351301906,0.9253382315685411,1.2180967075899929,1.318939801387692,1.3037668718557713,1.4549913906409522,1.257307000064322,1.2852932236623755,1.1799452645185917,1.0748144882792912,0.9846719602899398,0.8288307695216062,0.8101547507659792,0.7827322547253384,0.8038901120160281,0.8715798354940433,1.1075374894474674,1.1915345782103237,0.8943852971063643,0.9003759455310449,0.7776240932853625,0.9079726204075819,0.7958989336028586,0.8464967859394744,1.041173473791227,1.035591260703431,1.0883777589412567,1.1819425437156053,1.0874518590809914,1.1324001142153217,1.3882573626941663,1.3792630817475635,1.1597870044389598,1.051602924681901,0.9599864220410581,0.9670534456089167,0.9263379899548505,0.9256884780155432,0.8936801939871536,1.0205306515011525,0.9678307720670295,1.0265629826834055,0.9386255266586252,0.9665946303202569,0.8717508573851482,0.9733101433651344,1.0916502261290235,1.0784193193382992,1.1440655559958006,1.1959172052118037,1.491834400666366,2.0099927186140887,1.778865273881071,2.5074640308692486,2.082939191187926,2.022980404648702,1.8014333197194754,1.6639514542405889,1.8147846336098608,1.5444487548412418,1.4439123007361678,1.392734223751505,1.367737453516281,1.2158530377900925,1.1141987630063734,1.1212804519245194,1.1558681574801346,1.1303573969827265,1.1090903780647903,1.1739870254312308,1.1941015551700325,1.1288483592844676,1.229288087684736,1.255285693038291,1.2904748982414238,1.381408392008858,1.4158545553160675,1.5833481948185872,1.6260735986526087,1.4841290749264822,1.6993179917496444,1.4625082773513753,1.507182184086198,1.7302922545677684,2.3227209160611,2.0841326226247294,1.6506018705599517,1.583427369073204,1.5233106507402612,1.421975585387344,1.6494197150964047,1.8277770257854542,1.5748445033431273,1.574205074444252,2.0697317949715592,1.9940509255984193,1.7318842730498116,1.950690926385276,2.41002976218667,2.0868259707893424,1.9140924155268926,1.538409573996733,1.3425344917249598,1.3499868929793823,1.26873239444876,1.2835937519000584,1.1828472797152463,1.2608888978533332,1.1919890513828773,1.1128854858991184,1.1404360770843263,1.212711473364739,1.0876416502498616,1.130365440870421,1.2583592286221756,1.2026359101734942,1.147131200075058,1.2361658907479298,1.505284049955531,1.2136801169592355,1.2014762200992841,1.182453809895723,1.173430849186282,1.1673396123932822,1.2587592743382832,1.395278146707045,1.2460826766614825,1.3443715210253135,1.5794866615123404,1.5437998895011367,1.4829001942450561,1.8707940906218756,2.1224906795425165,1.767685582565417,1.9176677028089892,2.258761392925713,2.3771001848716633,2.1572104042417846,1.8038711707365724,2.5455291773262925,2.170783375529487,1.9727106795943572,1.6253301631116928,1.389725058040652,1.345676926522251,1.4716863094400527,1.3507558127597301,1.5952404511852547,1.2912725054678582,1.329978541857689,1.1005005972136885,1.2558863237990279,0.9168535359976353,1.0691022164081874,0.9681835332826181,0.9504518125497381,1.571351238347226,1.081809800713981,1.0484543913887294,1.218128796950589,1.1858605579936723,1.0210384215890138,1.0342244188327916,1.0296422651731743,1.6789079570307697,1.445923134670601,1.8998579515926763],[1.2315396669844683,0.9719915072559809,1.1303272080341622,0.8247704232387665,0.8774938156507007,0.872147588134766,0.842115158114632,0.8704436009538487,0.9621590024167788,0.988015451603628,1.0512652901128194,1.0577329426063715,1.0377129586970615,1.1525121111194654,1.3865178837192464,1.268457165803275,1.2488924414523956,1.410114819186668,1.5905089500008223,1.4374293151558462,1.6267464271759293,1.5816528792362923,1.7720367167864763,1.7578792314037788,1.5907258078162536,1.5525097270625863,1.3024279361969044,1.2687091525978529,1.2579922604537803,1.1497006054454442,1.397070033667025,1.1841167603652238,1.307622932576876,1.3898410706216815,1.2758276297591935,1.3082602339628855,1.1572795288791777,1.174659789111163,1.117688166083183,1.0220484406740222,1.1404573165389416,1.395372532243376,1.3747658065152437,1.5674192110529248,1.7927767422364613,2.13323082315162,2.5286605249921505,1.8189419925435584,2.5501656591245503,2.736677633731021,1.852052166986044,2.04924281738326,1.4361967596875558,1.418971781137599,1.4086823164989006,1.3899931545759647,1.4914624007767119,1.385640626739451,1.4579839259858955,1.9323298157258344,1.6500141549728409,1.654947228747944,1.6046316801840765,1.8130428925750177,1.6640038624109643,1.5704767544529088,1.7709856216242932,1.6276088442545473,1.7150797342308788,1.7662677582316622,1.8092292091722109,2.0669067453677528,1.9023821161956054,1.9613360681037957,1.7037871204933681,2.0599496816636935,1.6043053245196222,1.5698989650083908,1.4560562733699856,1.4262064076029117,1.2018437996457876,1.134006284802882,1.0717414899465643,0.9070183936301248,0.9351092387061982,0.9985097733046111,1.1864626531299087,1.1990227219659273,1.3563107281788114,1.4330623587346658,1.4821988158272497,1.691151038251665,1.6304953299049674,1.4956650189779652,1.4192561260475862,1.5386984824697842,1.5198064213636973,1.3028579861574252,1.1746852755855208,1.0877185086877104,1.0573177046756312,0.9271089484387443,0.8898365768864089,0.8242072458082964,0.7759405317099825,0.8233013939077926,0.8639873409208054,0.9654626424201764,0.9299944479518911,0.8982594514884058,0.8847965939969434,0.7966483775110794,0.8102064761349368,0.7964523531636257,0.9274694648458257,0.969161355721768,1.167724126661253,1.551147590025051,1.7616561851216062,1.460692887518329,1.4811237154054833,1.3121255863946062,1.195469366549841,0.9314721840905964,0.8473226892965298,0.7556102142113712,0.8820206915210305,0.8062734477374123,0.8440372830464954,0.8745341055094061,0.9898858652730489,1.049407234091774,1.086076594856354,0.9186189846590381,0.9365677948002694,0.9951635152498965,1.0110368589547387,0.8278404728796174,0.8214446452359246,1.0596326392230995,0.9404130255136834,1.087971016022967,1.209277566487731,1.0309203436420633,1.046703597105386,1.0224810271529416,0.9448201213289734,0.9232148796142655,0.8058943834038553,0.859941196815011,0.8633773551962939,0.9101238179141969,0.9945998791142691,1.2628843692968192,1.3086798477901536,0.9807771380496106,0.9645519298736407,0.8441545894051765,0.9058614288239695,0.7932685612855941,0.7551997679414147,0.9309642335487065,0.8515559197909356,0.9004990013420124,0.9484498015759286,0.8393068099739541,0.8567783897377179,1.0974279797144744,1.1238096604833159,0.9493704465248889,0.8491841315396377,0.7848958619349768,0.7791765820618654,0.7513075449314767,0.7877044152866904,0.7891680729406287,0.9333359972666316,0.911142402412713,0.8643692777314421,0.7890913019139967,0.783905198774216,0.7546167094109143,0.791826882872785,0.9100399739797227,0.902252688139535,0.8972904627690849,0.9658972380053639,1.2409255856705443,1.7335557239283284,1.5380006988779744,2.212089075685185,1.900874906094562,1.8047275804633462,1.6310863119912737,1.4893338162940934,1.6540505191959478,1.4309201810102197,1.3110892648444334,1.2878897910227622,1.3426524431418403,1.139773282379606,1.1054725396388316,1.1221972955737018,1.1084232795424214,1.0920645831626405,1.1570978745625002,1.1842289559247394,1.1509843728125115,1.1522284828328273,1.2741950490904213,1.2433941158026758,1.2846017888840826,1.4398639890205758,1.429795754705998,1.5323574347173576,1.511404522345117,1.4182363900261872,1.5669946063504943,1.3623819352224882,1.3737567470754874,1.5782961903443793,2.1300906374088893,1.8414492660101418,1.4486325203594717,1.358357618387658,1.3111623750790011,1.2705242763339424,1.4274511160920655,1.5940225830875205,1.3874515214982246,1.3894775697428772,1.845773335003683,1.803569440570268,1.5680796118738751,1.7640403273361847,2.175602669323049,1.9069912194868979,1.7642217105730258,1.4133146871471427,1.220872400627134,1.2046527570435634,1.1629565299657887,1.2114833108545038,1.1775048022129746,1.2900813239114308,1.1783205944809751,1.105179326422882,1.2204496944714582,1.30457659292797,1.1520844736110247,1.2541149255185295,1.4238101842475697,1.316386560188923,1.2136384979958952,1.3531228377527835,1.5921565034450578,1.2583911713339584,1.2120968734733204,1.1489649169690546,1.1079257244560319,1.1136435128084514,1.1174842282995328,1.2468183492310487,1.163734878302222,1.1980915063501565,1.3923130614773238,1.3929295898473932,1.3330220592308064,1.6398583242496476,1.908512318295557,1.6184221830033128,1.7349560501219778,2.0247727693081488,2.1618819879587075,1.98288599954114,1.7037585016168963,2.399476526494566,2.095868246904805,1.8517753393434928,1.5479761865713613,1.323972495795541,1.319542559601723,1.4077424623581523,1.3074067830497869,1.5660905438487986,1.2626364017019516,1.2531863200288087,1.0836943638368146,1.1907831317692996,0.9160071736331379,1.1526896591334066,1.0470065909522002,1.0529815348996043,1.764568257994559,1.2010798659962678,1.1970190773402947,1.3698727268691808,1.3057058709622809,1.2343435704961796,1.1649691618861866,1.196660538246327,1.730845920957233,1.5460683277474434,2.085801062650186],[1.1570179655108095,0.8359548993603425,1.0402434749388734,0.6127156625741336,0.7471185858119959,0.6786623773265834,0.6406267621969013,0.6664796030921127,0.739428937011003,0.7761363020918388,0.8244790716042348,0.8302862018909886,0.8611574019371124,0.9697281220228477,1.204086592497542,1.084360427557763,1.122408886896562,1.290864688361343,1.5196926083778712,1.3474112016055089,1.535765852228752,1.4986251338703713,1.6901041354534903,1.704515435525449,1.5530811579630874,1.5057966282943467,1.2531059599004521,1.2190708469545575,1.163531214615691,1.0130411690888064,1.2200955362587378,0.9939315631006016,1.088070634526459,1.1813687001133961,1.108852860797474,1.159597943106996,1.0300568426093761,1.0944861823748713,1.0747193976644531,0.9951736752451296,1.1435294139817993,1.3397102221390924,1.306101419476969,1.523504265813937,1.8292186899718026,2.2424217094064405,2.6866698726520415,1.8690016671012322,2.6176446325080107,2.8811163056499316,1.8680306052935673,2.0826378288801313,1.394494311074362,1.326665784485857,1.3453294913899214,1.332256770720263,1.4562487786923,1.3221039627895155,1.386954846198192,1.8881531209401081,1.588725945618008,1.5502321284793181,1.4659365471131716,1.6739008384590035,1.5729254661674752,1.4504711342918375,1.641877048775587,1.4883813720984012,1.5851436266020178,1.5854018621529369,1.6508608330116001,1.9025124815052565,1.7087057781894959,1.7989433530682992,1.5303126394721491,1.858351969748596,1.4473015571332863,1.3880087304933528,1.2986958311512709,1.3047719584134851,1.0835278226558076,1.0587715053364999,0.9736592245609189,0.8424363472049567,0.892772823581108,0.9330920652091017,1.1046751049397843,1.0713242221865624,1.2202272375631604,1.25882642831393,1.2917913394815534,1.4756417978471945,1.425092136156444,1.2708847463904387,1.1987424314215467,1.2982602288509124,1.3006099293165547,1.0724709025840822,0.9387476124443549,0.8440679923252841,0.8439887444019364,0.7468005853561355,0.7434094623799402,0.7034330136460398,0.7163970044982709,0.7614273342301755,0.8272754878929305,0.9475895441642167,0.9042474618086506,0.8276461184234212,0.7974832697840338,0.6900519032204223,0.6561049385906302,0.6644785679172516,0.8001676367021716,0.9052283018131264,1.1124268964512745,1.6585768488366992,1.7372673564226302,1.3626932368471567,1.3849384568998753,1.2022150311827058,1.1601782703039125,0.8089764394890167,0.6709626866179959,0.63859046512471,0.7930317790692747,0.7132044601639183,0.7918905880550346,0.8427724508774544,0.9723896139461573,1.0406177040716444,1.0884733365164994,0.907881547554798,0.9280574394412487,0.9733282246114919,0.9853038819092598,0.8190104414668901,0.8248555416257916,1.0680677487890036,1.0544382640700336,1.0959764852565992,1.2601499297906258,1.0633169054022684,1.0498678189683317,0.973503383009913,0.8859265961582518,0.8083159005303476,0.6760992951510387,0.6778119957671684,0.7016052568454776,0.6987637735927426,0.8003559934265959,1.0394499388346836,1.096454228797316,0.7600929082200018,0.7542389477190685,0.6619953126202005,0.7392827665959946,0.6715641097552396,0.6727640832433669,0.8462866727799873,0.8354795196685699,0.8762318909330702,0.9775452628351474,0.8893738096187097,0.8901718151556126,1.1177133458010686,1.1465743083745272,0.972519611581851,0.8648692003379578,0.7939694870892076,0.7793295878292014,0.7234920878809029,0.7293254823566269,0.7057505108910874,0.8155757808342178,0.7899127632721934,0.8035375037786513,0.7335531212988022,0.771674245537804,0.7060570150548411,0.785756890980651,0.9131892144489943,0.8983030947300379,0.9059273285928675,0.972367013901018,1.2709302477589317,1.7315393709875635,1.5059521077917615,2.180983186149746,1.8567344358265658,1.7932320903163532,1.6230573097998442,1.4771885263450162,1.6421477005327023,1.416886449323259,1.3102890732578147,1.2828529615553788,1.3097809421334268,1.1196927860977897,1.0582108934907692,1.0723326821708914,1.0754639540126105,1.0455388204944602,1.0706315774907178,1.1107342350928908,1.0922710918399243,1.0699417486400082,1.1861173024921625,1.1716672910652242,1.2046228627202669,1.3374144960653944,1.3496182955053129,1.471854734588852,1.4834974621629273,1.3440756310165316,1.528946170452708,1.3238742190493353,1.3391401580726543,1.554647123005024,2.112981962685319,1.8376340011179126,1.4497229045202515,1.3678977464868083,1.3127706704930318,1.2720882699002762,1.4370213453445635,1.6021220755587904,1.3911704210533329,1.3964095059763681,1.849954754625355,1.8046284782829676,1.5682267303584878,1.7498419249255226,2.1705007227565547,1.901565490902412,1.7553338999626151,1.4130574566033884,1.215299506914678,1.2048430348732324,1.1562127357682885,1.2010959174262659,1.1453060758645641,1.2363070980529338,1.143462826498723,1.0511182168602238,1.1276699060493345,1.2161461752112144,1.0594464082679347,1.1323371778457756,1.2787657048655383,1.2011496642737618,1.1158869578772663,1.2268181591090328,1.4744225888119071,1.1583085781046403,1.1179505087676338,1.0745185158984243,1.0489774279745312,1.0635994301441216,1.0946430981165138,1.2217774204888128,1.122043877459243,1.1847171829098593,1.3830931403012676,1.3779793721942937,1.3281141973356627,1.6364539566396612,1.8942323774701468,1.602243376257378,1.7332055813817302,2.003947654061397,2.1342247919307766,1.962970982241814,1.6736326758540119,2.365750578879704,2.065774259571251,1.8094289721255998,1.5094926947492053,1.2775899358007161,1.2595003337084818,1.3659371471314068,1.2621742246006542,1.532022393976198,1.228940779877941,1.2299014509635124,1.0382457059479233,1.1804668153042892,0.8513746262855282,1.0432842697108518,0.9667528049561811,0.9462407268700406,1.5985740462520628,1.086701669255917,1.0480471385675825,1.2020235570688518,1.130611066984067,0.9404192918130929,0.9429467125031545,0.9254826580322306,1.6118066591114182,1.3667958033093413,1.8304511617074866],[1.1854215366295924,0.8442072852042359,1.0400526446798235,0.5482022514821806,0.6448954466082927,0.5892340278329611,0.5443822667831888,0.560566127282527,0.6199440895001022,0.6719520706388445,0.7548052984928093,0.7440197994708817,0.7983697387101824,0.9210378535930436,1.2266388185411117,1.0865386739013807,1.1229583149700826,1.3477973397799226,1.6025869436247693,1.4301250545884312,1.6625772443947078,1.6198583564311149,1.8383261512523348,1.8512232935142836,1.662052173310496,1.607956171453547,1.2977126277307238,1.2546579261058437,1.1954327449115494,1.014787814989328,1.2652164935855357,1.0091601739612133,1.1128086521823357,1.2570443002852347,1.1517578526183716,1.217100177990225,1.0450638830106698,1.1256886528353955,1.0980246121675716,1.0162706001899768,1.1725195637927441,1.4379480198992391,1.4224572818221553,1.623073451445164,1.9080914773306479,2.280431429905717,2.75783896642739,1.963197028594482,2.5887376291614483,2.8732697597330024,1.9929835361858954,2.114125367463108,1.524743885448019,1.4105311444627975,1.4345882703077846,1.4461351395051818,1.551115995717096,1.4088963920387636,1.490143331044531,2.010997352751667,1.678952709442398,1.6704890070934943,1.5883727661832758,1.8451053535946196,1.6946539584143443,1.5567474011465292,1.7891114379444901,1.5990926735335467,1.6969696734872386,1.6884485750004707,1.7640473329498587,2.057322174156379,1.8373634284827347,1.925898567165984,1.6489831095191139,1.9802016868092809,1.5645361049227078,1.5064481928091689,1.409313020241175,1.411569031460446,1.1443252621907791,1.102753956521434,0.9705413025103765,0.8597502286304174,0.8985772205935733,0.9502377084650068,1.1542647073120462,1.0959921960859305,1.2983555275173215,1.343387457118336,1.3881367178320887,1.5813560865945202,1.5102790352315247,1.3443240966547627,1.2462674919676815,1.3526496119448748,1.3278962848979403,1.0717444409440495,0.8963824975550594,0.7841795281898836,0.8036678899078474,0.6432743548909846,0.6707365378060121,0.5921968173748942,0.6127816513474346,0.6514564572763489,0.7497349733337926,0.9312772597382094,0.8807107419321212,0.7393406601111823,0.7006092166808005,0.5925092586060674,0.5461250492672581,0.564611925392587,0.7135234802344654,0.8180402469256728,1.1068849094547617,1.6290311163980513,1.8366914558381748,1.4211140123218737,1.4060379526301146,1.1783975529762474,1.0861497323664562,0.6980665559481565,0.5401849115287063,0.5299745812872716,0.724530282301315,0.6286567660430342,0.7155492075403442,0.7917168821711247,0.9876361128143671,1.0731192337787083,1.1290327680751626,0.9148427183164701,0.9321204955543292,0.9386316432880114,0.9426639047922457,0.7659335206118705,0.6401119667197627,1.0303928822060746,1.1655689607026694,1.0718251398396952,1.2520737747406383,1.030936355469953,1.0507922970859824,0.9504569231405977,0.8311214976855203,0.7346945678122415,0.570312357404529,0.5775504716998973,0.5999593479945865,0.6057757037629157,0.733542290655698,0.9858860161624254,1.052270146010038,0.6783808665794788,0.6712164290643212,0.5482833766546211,0.663539134225124,0.5612041430240539,0.5813049798578983,0.8063812575945207,0.7894496014602748,0.8566310841257904,0.9631798533210507,0.8591478854272347,0.9079573230986189,1.1773808774898122,1.1976941650210304,0.9693811060511569,0.8693940594360487,0.7498485882733218,0.7412015234713669,0.6777527520305103,0.6789127384487312,0.6393831274315712,0.7659083455734155,0.7248413285385236,0.787720098613062,0.6779861737916267,0.7433836451860402,0.6527934897415542,0.7932756610768962,0.9329835414182327,0.9083904849017809,0.916253628416979,0.9722352700674552,1.2885106452013655,1.75421421675642,1.562841247089077,2.2980103468436033,1.9314439037667404,1.8800599207552005,1.6917496279053426,1.5741640392903775,1.7625927743324603,1.5023455123341938,1.3960090766565432,1.3333628698473585,1.2996347035808091,1.158388092863095,1.039947387397015,1.0472142070020654,1.0791250741928122,1.0477571998836088,1.027314451645951,1.0874893443639644,1.1115625958715531,1.0370617605248864,1.1488757307531188,1.1721151462193218,1.1896903754433423,1.2877939096455926,1.3397909457719621,1.4847723431086401,1.5373243908540155,1.3771497287743446,1.622811230861567,1.393105649825009,1.4189177818773522,1.6402595425985462,2.232872039799495,1.9866175453612887,1.5428502217074285,1.502281385804801,1.449321048961678,1.3659716342782655,1.589241380177674,1.7481151441448177,1.516922486605309,1.50751215491994,1.9999947591392317,1.9245862608991626,1.6811258637447393,1.924324550058634,2.314158103977988,2.039743763347855,1.8827231457546552,1.5077629963201145,1.29143973622269,1.2901407924273642,1.2036741961871362,1.2362227780371138,1.142206449058133,1.2195416607507399,1.1375389679958703,1.0423610508013608,1.0969667322223304,1.160071490367488,0.9954166785356291,1.0506124886182422,1.192655814533607,1.1286697151905112,1.0629683340270755,1.141811779579146,1.3816867356337592,1.1095356429313075,1.0776468201826228,1.0716720447182049,1.0635348113732979,1.074358173100982,1.1540236647373687,1.2852366620151032,1.1547351883929158,1.2627477351092384,1.49342689856775,1.4628758757594318,1.4129024849433014,1.777182510970474,2.0206256885049205,1.7031126167480954,1.8496936337062988,2.160591462442447,2.272511906285939,2.07878660996152,1.749504687417235,2.4672923811744965,2.1375256864686754,1.910502788777766,1.5958395533726741,1.3360778432974778,1.2717953380606046,1.4388549895954394,1.3135523834238203,1.5685049917185545,1.2220702759996962,1.2558559551930903,1.0143727803917275,1.1841661336664242,0.7947688621317064,0.9827437019207103,0.8699847399990391,0.8389536782775217,1.394225578166534,0.9475251603824537,0.9333274051864197,1.0715975079107005,1.0658793058160183,0.8787862602604639,0.8828228732572526,0.9276809801503803,1.5083688387895182,1.4536348884107033,1.8988706587596211],[1.061195125047277,0.7793948206658541,0.953682095983453,0.5704441326650632,0.664894415749352,0.6637494606851477,0.6790254115974506,0.7150647979180438,0.8022511970415909,0.8793352763881577,0.9791960597918412,0.9678016416103725,1.009687606700821,1.126551840115836,1.4331419702999255,1.2992889192313188,1.3036575985084011,1.515943878613064,1.7272508338896975,1.5626393101104186,1.7713212491007877,1.7191856383546267,1.8970267701614838,1.8740838623722649,1.720989555943243,1.677672986273363,1.415045050779235,1.371467522161704,1.358758612748908,1.2138603605002634,1.474270757140344,1.2421236846249282,1.3567812031268038,1.5048818933616948,1.3680755020976911,1.4151701898700189,1.247524010891966,1.2955158559639217,1.2376068306720074,1.1547554130081072,1.2558649453988036,1.5570558736834212,1.5497749583660525,1.7133256943048527,1.9285959801838346,2.2743276944085062,2.6618456908383763,1.9830917476379148,2.6320778394705084,2.817069014860307,2.023461882353219,2.165269787456597,1.621430733028332,1.5520610431189876,1.5269456313026728,1.5682188546385982,1.6612693801193854,1.5380187599541195,1.6327600652454033,2.0877386399746616,1.7911684505439458,1.810109712733303,1.7475073536144026,1.99084877420204,1.8363526419183003,1.6977819905195086,1.9324318679346977,1.760258177269587,1.8479556140844056,1.8478093618359983,1.9081325076810387,2.2043745352173545,2.008523959675926,2.0801444390710224,1.8316898300904962,2.166011281961704,1.734780235408319,1.6936058648801697,1.5909044255573455,1.569468244673621,1.3423522936018633,1.2701343984074254,1.1419143497101971,1.0386533275587513,1.075527912859825,1.1186466020927135,1.3209364796290866,1.2974985003412471,1.482079392645577,1.555245453255081,1.6017207101937494,1.7731937447257524,1.722378601093364,1.5858398120367092,1.485794835522165,1.5938810484217698,1.5544161700161,1.3143777904648712,1.141816580075417,1.0368592715324823,1.0353328539795426,0.8051449010129909,0.8787314205752744,0.7427721706242849,0.7335652435692551,0.745500476141587,0.7653161164159785,0.8883028573032774,0.8411238891766943,0.7892030123211428,0.7320528523891082,0.7077782501782984,0.7032553392841091,0.7364066615390066,0.9016617548686382,0.9470675592309674,1.2243771120332443,1.5954009856613416,1.9191097388528524,1.5607177549633267,1.5436945132934585,1.3220841395857186,1.1715555314908144,0.8705281056208279,0.7386680589509311,0.6694358506740691,0.7600810374730711,0.703117081753018,0.7494085189078445,0.8239406767757198,0.9613337459795679,1.0082149935495721,1.0840681026721335,0.9215179760355828,0.9472439353078411,0.9771305291822645,0.9421354531499938,0.8069636970452382,0.7626992097861381,1.1106827931493946,1.0629065589386089,1.1079125943481236,1.282173743450381,1.0819851277280677,1.1424813627775732,1.0934863416323066,0.9815287323051212,0.9152106320488077,0.7672220601127663,0.7701227621549176,0.727492125195126,0.7960360626958681,0.874405082637912,1.214080942079993,1.2890393747743778,0.8933026949582805,0.8941266972995408,0.7400320540151443,0.8830426252036353,0.7382966483930337,0.758992999548753,0.9746188533267526,0.90726078762046,0.9979940166340201,1.0497163466048285,0.9368776950806774,0.9853031209298622,1.240604915060636,1.2525776696907145,1.0674194568911817,0.9583329178642784,0.8721135554171235,0.8681293514800069,0.82641665175503,0.8511274190806314,0.8086799136682031,0.9434953093987305,0.9128780123068573,0.9701157809646876,0.8350785803466901,0.882618967104458,0.7604478848173111,0.8470745441620886,0.9766870567583659,0.9700261040509154,0.9918144169391405,1.0630261441150148,1.3655482257763794,1.8347997099992936,1.6240858599839105,2.318537838009029,2.0181577111933238,1.8794462527371996,1.6781732414434998,1.5315383284334327,1.67783582789078,1.4492442275010815,1.3192107464020801,1.2537873621504325,1.2668991891252188,1.0614357846254616,1.003490005109668,1.0133082221261007,0.9845294584340413,0.940110883325299,0.9914152447885896,1.0093524497844448,0.9790629652250425,0.9504458727441815,1.0842617506265062,1.0473965551290931,1.065676504091329,1.2341425336465341,1.2401535755287496,1.3407828884839856,1.3548659221380785,1.2188314783095722,1.4555418184019253,1.2218617986320577,1.221609957753367,1.4498419600108683,2.057046113601694,1.7691965065188098,1.3500143417747799,1.2798865657345058,1.2345028675939353,1.2171543056010365,1.3999340603775163,1.5485895594278234,1.344470797384582,1.35524663911098,1.8428666572732353,1.7705478757069133,1.540306098586336,1.7830279120841475,2.1636124911359182,1.9092791905018032,1.792997838264965,1.3930015449285225,1.1908781597000295,1.1823106125616436,1.1201912025788048,1.1761661715932183,1.1098400519947023,1.2617375289778359,1.119036026879954,0.9924726187419532,1.146594992708941,1.2121290208299482,0.9892937443727979,1.0828225178243511,1.267220970489133,1.1400758509619695,1.0133672614763813,1.1527617758592994,1.392942927384378,1.0355408901817564,0.9752054624998315,0.9266997465878803,0.9011943734652677,0.9425066262976758,0.9780443134017524,1.0802835865168228,0.9936913372762697,1.088100960449504,1.293031262724464,1.277969325454847,1.2537468074876892,1.5933277875441987,1.8428157952383144,1.5553416036338386,1.7144995020389897,2.001920843260954,2.128865622955767,1.9517961382918383,1.6396253051562701,2.3794797148985345,2.0777568284459913,1.7863229116598147,1.4640230771636547,1.1901032399657605,1.1318993439258755,1.287373469214277,1.1956697642323195,1.4991513670301295,1.1667113674714682,1.1652469863028667,0.9684350609158636,1.1209543973913016,0.7781505208864403,0.9996825749708048,0.8405234798496793,0.8112876723513027,1.4837735239384406,0.9544142361104351,0.9434293957490532,1.1375550870610676,1.180934643723486,1.0763258658720967,1.0097957993645164,1.1266317695023547,1.5186932459399438,1.5404599875287834,2.064714649135544],[0.9655489443660059,0.7207085605438444,0.9156629335140904,0.5267664503813625,0.6688556105578705,0.6277963649815869,0.622974837690544,0.6449232306652324,0.6916120131544496,0.7682754824537242,0.8373590678051224,0.835704439490999,0.9053248303152241,0.994571929523496,1.277368075650155,1.163698984198632,1.1824042004284825,1.3660831064177184,1.5692538097060516,1.412641191195694,1.579881213829762,1.537729708131556,1.7047864822564989,1.6960366014899333,1.560882089366095,1.5294079237932439,1.2953980782927308,1.2645939164214905,1.2359108471053033,1.0975772444421654,1.3082111840173734,1.098013718121866,1.1964673127108978,1.3162818166668462,1.213502625551962,1.2593869985395076,1.119620630393131,1.1647313775653123,1.1237010328273473,1.0390619199879756,1.1548952703263387,1.3996599589459089,1.3753263397412918,1.5771773759924044,1.789944123974041,2.175409983002176,2.5418328704046944,1.8284886000043783,2.6173999701393957,2.7719139592400017,1.8633168987247766,2.0450574891862283,1.4512161756931174,1.4178520273639614,1.4126119344199053,1.3952939895315064,1.500711022945221,1.3845900838673162,1.461396221029637,1.9180903778044058,1.6134324747080067,1.6037391813071058,1.5493802179305425,1.7258384671328042,1.6017307651460493,1.5093675109666727,1.6976146394768383,1.571108483025365,1.6533413208933057,1.665156485935904,1.7217030328401568,1.967272984616844,1.7875604089597088,1.8592039514404033,1.624486165858958,1.9538113779685151,1.5414759069925874,1.4958803929809255,1.4132577987933403,1.4036770681314281,1.1867181403748337,1.1428220000382192,1.070637005515667,0.942905582010349,0.9672361237738795,1.0204058631267188,1.1831711639890528,1.161258562137884,1.3194521567151323,1.3835329709578672,1.405400967678035,1.5821090020153692,1.5232003617504517,1.3855040902733062,1.304030163300509,1.3966783857796596,1.3828596044327106,1.1592341781676094,1.0076667343024783,0.9050249223419239,0.92122585910002,0.7633462707873566,0.8076322298473769,0.7146368875197522,0.7380620487071443,0.7620711249184429,0.7951220802343266,0.9037677843574247,0.8571416047903077,0.8055010420080487,0.7444689031870017,0.7038692471374696,0.6627100280768764,0.6986956633892238,0.8267620560725468,0.90685817964824,1.143354588670742,1.6008591519172208,1.7708704619429623,1.4225779558086171,1.4245379372609137,1.2290395877621103,1.138439530779807,0.8011741414511427,0.6615792218707105,0.6588800299747185,0.7518636478466245,0.7174248112761609,0.7680701637148456,0.8288812980353141,0.9523262255813253,0.9907020944952505,1.054030712587955,0.8980581790452755,0.9290402374265507,0.9733201670879682,0.9472399138614109,0.8017420581372442,0.7971493611076907,1.077251117373391,0.9615273891292997,1.1374238060923516,1.2453743621901752,1.044078067094543,1.067667601026778,1.0107048639039633,0.9171108715353492,0.8519564830585103,0.7151269725885949,0.7034652293064161,0.6798033885445796,0.7066635688521086,0.8098585826538168,1.1105371425767965,1.1701837512421864,0.7915445567705218,0.7972737147449186,0.6796055816506908,0.7924195670940662,0.6957642975063504,0.7224565948874828,0.9139609309520703,0.8631188979177656,0.9207752750021903,0.9854580760378743,0.8878791730705637,0.9023386682493076,1.1249503474782225,1.1429953401357373,0.9993645192352202,0.8888658542846993,0.8235326895158309,0.8154807126188743,0.7804541592134694,0.7984033709134273,0.7740237602345442,0.8915458621358258,0.8808045077046993,0.898576502605569,0.8053982626977225,0.8177928538326327,0.7567684074287647,0.8374940840023671,0.9373891432978466,0.9350850045360272,0.9331573953079371,0.9899888463707983,1.3183161954638944,1.820614531062436,1.5513887583662347,2.223189774900444,1.9462536709389573,1.8106632424719835,1.6264663209571188,1.4575194091125312,1.5825178222658534,1.4026320886816652,1.2622752549647231,1.2158330197963905,1.2562545337473374,1.0266674215357752,0.9923417534335505,0.9961558995753687,0.9633026299845047,0.9229630658554241,0.9924396226205549,1.0005988790621199,0.9593137363920161,0.9561717109201513,1.0878275748346957,1.0353815420248078,1.0551782269365515,1.2392169543497038,1.2352793905749404,1.3207183189056628,1.3079152535270702,1.1842481012586479,1.374259415156991,1.1621163812974533,1.1496320368704702,1.3548079276117289,1.9629488634567238,1.633685477626543,1.2852792653273124,1.1669370652223696,1.1199337745919677,1.139209812541518,1.2856506205088518,1.4113991560349977,1.2463520889803161,1.2634852748664824,1.7105482850600728,1.651497041087776,1.4420401098663445,1.6683873016600428,2.025366022820586,1.7979009893340074,1.7009358332883906,1.321711247167052,1.1373643663922934,1.1228713105093302,1.0792421485032548,1.1617099957632373,1.1059057746144703,1.273120974633001,1.120590975222362,0.9983178897310702,1.1708461598274413,1.2302679057957298,1.0137605737626223,1.1172740261440262,1.2912492433974425,1.1635252234616236,1.0383289574455776,1.1805915505751505,1.4088606358282427,1.0476277329149493,0.9830583412008916,0.9102660863772989,0.8890434145057677,0.9373928812093848,0.9319972144270905,1.0065589908618737,0.9542783921558865,1.0255558235317963,1.1888293680152906,1.1930404497880476,1.1783416022325137,1.4627067415156416,1.6956889216195736,1.4615857935710566,1.6149417917208793,1.847657729223344,1.9877172255866202,1.8446364403258813,1.5768766071304727,2.2692210738338847,2.0285231169351636,1.6967229442626368,1.4131641734525315,1.1502829270461419,1.1018041516321653,1.2540254892288,1.173825016509981,1.4803320393646626,1.1692231174922754,1.1399808287290591,0.965581038617383,1.1094756256296345,0.7842096975024774,1.0159335087074246,0.8496502075569252,0.8294945239900787,1.5030821256362126,0.9563353688550359,0.9467364330123172,1.1314150132783005,1.167279708192246,1.0595868286900918,1.0030877300132262,1.1079549616785853,1.4985190479712218,1.4898576176037714,2.005925596717354],[1.0712614386851143,0.7478018179981744,0.9483053105088545,0.3768146904250225,0.5667794539008746,0.5155721716869267,0.4969747305788942,0.514091727630575,0.5407351525016929,0.596449296785574,0.6646370633343607,0.6630447750530448,0.7519696808781111,0.8334816816397838,1.1323018426466835,1.0095820494466283,1.0459523539808429,1.2460869001850579,1.4814842774389931,1.322562895561975,1.5237034411685537,1.479374381025743,1.6805122056299855,1.6939421619714303,1.5393200026349674,1.4911916937396617,1.2137497366703807,1.1860709071386413,1.1180627905898661,0.9466711491943307,1.1605341324682577,0.9345587941822638,1.0237304830991296,1.1430767432711475,1.0634703189011527,1.1266669292124771,0.9811779262619101,1.0566117595678763,1.0352699007683992,0.9502618361938838,1.0969167613297937,1.3276619689943878,1.2947418874547656,1.5039983303147395,1.7849592546628497,2.2030267666258916,2.6604715666321797,1.8475894516779547,2.5755403790983524,2.8475689514435794,1.8798348743735096,2.064966511662408,1.4206830755711843,1.3310557444739304,1.3424267400579581,1.3260101182618187,1.4367780057516433,1.303756118227253,1.3697091300212707,1.8809379625392948,1.5454565953976913,1.520081350365016,1.4364238253544093,1.6498188853216949,1.5270353409339419,1.4166353860569325,1.6207229231298914,1.4598442349816398,1.5469042963355921,1.5532233715868164,1.617831920442809,1.8735837671245004,1.6606178523373722,1.7464998661047373,1.4997397727951227,1.8091461606195292,1.4294333085634305,1.370833138670692,1.2865147176231708,1.2932878358140947,1.0552963766816947,1.0342210545522896,0.9214358766722055,0.816670432607288,0.8579866828304636,0.8897467708015353,1.074945190470778,1.0262648549461606,1.196635563065595,1.2382278481247344,1.2617391913222609,1.4377856950149173,1.3771824311593057,1.2186644079146083,1.136649234380107,1.2310772537921373,1.229232705845386,0.96963689464901,0.8162447226791748,0.7066295006060729,0.7257591535468224,0.5935459283871725,0.6295695654119193,0.5868533926071668,0.6064592525863506,0.6456461038232677,0.7280161482645972,0.8923887784616501,0.8303974934146012,0.7030659233858421,0.6362864227574632,0.5629433201184239,0.5005914678302896,0.527775637968583,0.6657503901162259,0.7847054246341061,1.0584990608123803,1.6172464718099044,1.7336268084140412,1.336130759831784,1.3302693612080976,1.115726983102806,1.0454778101528766,0.6435474629575743,0.4779400651500759,0.499256573993479,0.6693720528535255,0.5941190049900283,0.6893902209734768,0.7813590477577999,0.9626217369988225,1.024429066235827,1.098481110174776,0.9054096532012357,0.9282212642252727,0.9385038818259821,0.9195298758235582,0.7638902585263254,0.6438405231422513,1.0231276403684706,1.1217143029723997,1.0352507782528313,1.1994083156339128,0.9979205963752601,0.9920220831054591,0.9033765484307712,0.7970352365348474,0.6921272752948231,0.5467938512383657,0.534710748925938,0.5433104272991656,0.5544769500525671,0.6893929998946341,0.9542890503562742,1.0018743036570334,0.60757237280533,0.6061973568259784,0.5062324617027013,0.6191078826985804,0.5545931084402571,0.5731721995092424,0.7663616093981414,0.7616076731795982,0.8184509073741687,0.9288324060242004,0.8480062464686793,0.8957370948685572,1.1538275022177165,1.1838674445130661,0.9876328937394079,0.8817691497738027,0.7565156984724375,0.7383858926312378,0.6701157372720807,0.6598565187126414,0.6134471838863284,0.7083060627617414,0.6844787027509304,0.751607857869446,0.6697978964811236,0.7357686746752902,0.6538627742382183,0.7840734029074754,0.9208328803417898,0.8991454328243313,0.8910232693149838,0.9277260197155527,1.246733322398689,1.725468839555283,1.5323218497577824,2.2351749016125453,1.9185704419798635,1.837737655198151,1.6588552682187672,1.5251721619501166,1.6828959839089968,1.4660924734107184,1.3469141949999401,1.2867076666133246,1.278733662825344,1.099538231352779,1.0136632072582605,1.0153745479960998,1.0109220255087936,0.9632103842484849,0.9710693659361713,1.0067351843715968,0.9994292784696162,0.9388159246637435,1.0556280968162444,1.0405853711268065,1.0404097851262006,1.1694148715961423,1.204167044535612,1.3192684344469836,1.36719090014084,1.1927411375905987,1.4422220934752634,1.226951586898921,1.2311245474214298,1.4480616821415861,2.0523816735199256,1.7756701409943156,1.390092790124077,1.3148457184155247,1.2724900279285218,1.2599459363268404,1.4366212632750188,1.5676317036064558,1.3782312123392186,1.382027642714317,1.843305493828027,1.759600106008062,1.5507026507568025,1.7864363834332002,2.1330859062833927,1.8916836896452598,1.7885551250938163,1.4147106518231192,1.2324970248556582,1.2249441053557442,1.1655130136704228,1.2130496180483368,1.129265652422908,1.2518870775332729,1.1300502085933795,1.0030095507907173,1.1056469728216993,1.1590472679828012,0.9726777461245644,1.0214262123972249,1.161190427972216,1.0754321904798942,0.9772097305888805,1.0690018271904576,1.3150960428284904,0.9837442981107304,0.9361823104311868,0.9260120846469277,0.9375741840258345,0.9751112792935247,1.0275080915974086,1.1163635735586614,1.023332014388008,1.1278632055912237,1.3158805750877278,1.2989670443687056,1.2834278392642469,1.602406188769834,1.820218620496402,1.5462514833893923,1.7092937261381913,1.9709986632448866,2.0789550476902603,1.9166302392732055,1.6146587782497333,2.331381465482142,2.0530694321129186,1.7532968239825013,1.4573660907025439,1.1966611475477795,1.1370665501478487,1.317531073899222,1.2067007478520941,1.4757125133104667,1.1492051422528597,1.174541782099103,0.9769177800517652,1.1463349104411218,0.7578015429917146,0.9610649317394832,0.7814014477242747,0.7387136463771072,1.2805058479858853,0.8416352136212628,0.82445930846991,0.995937482313511,1.0808713062915423,0.8801018405309096,0.9205892375162638,0.9792224804651583,1.435580161820273,1.4949561665892381,1.906529137545014],[1.0092722456384589,0.72178783526807,0.9276385857256091,0.43106437028641237,0.5804765195313766,0.5818982898545539,0.6098522839246608,0.648625802947203,0.6737739422869382,0.7618439441439218,0.855414535824764,0.8502166335065796,0.9490949182403026,1.0217937051571393,1.3588534995193629,1.2437248156500715,1.2557550816610192,1.483939228661791,1.7141353887893698,1.5628877052691592,1.778942537899876,1.726002496554565,1.9159925745866957,1.9049213499285849,1.746890069131924,1.7049241293005257,1.417218104598024,1.3820717911883182,1.3390227493553384,1.176907199331797,1.4222934455187428,1.1879427074099764,1.2891636600277951,1.435886787055667,1.3359978887887454,1.3900673460658983,1.2241698131340466,1.2836206855018943,1.25085249462732,1.1665693542306517,1.2860153228529843,1.569635504136113,1.5619590507405259,1.7281921496392312,1.9467937320286897,2.2907317480200575,2.706038665762448,2.0066705320156224,2.619044337505923,2.8508696515403544,2.061571835640019,2.1901782942609564,1.6468339348909435,1.5427847555630703,1.5491708929161163,1.5937986689427903,1.6761834798598694,1.5506435105273737,1.6376338202128926,2.1204993588071788,1.8008842666674252,1.8001501078728168,1.726949343101831,1.9426172982782886,1.802889607624244,1.685770874630345,1.9039358071273935,1.7292537101252023,1.8020916804225358,1.802410980889621,1.8686036350027269,2.1433725427627213,1.9263409919839116,2.007284177173988,1.7690515445546973,2.0993764426524155,1.7084867074026873,1.66584346777846,1.5730074570146924,1.5761667528024732,1.3267943073376833,1.2745130124516566,1.1404176828025208,1.0566582664922601,1.0883886590632932,1.1210872606758495,1.3180108619203958,1.272911243672809,1.4667685626391636,1.525579667722679,1.5509907282763091,1.7288283058955864,1.6629051765076763,1.5157666774983414,1.4073590391289832,1.502722278342802,1.47162867162044,1.2156572989562515,1.0509450293316505,0.9355488923403288,0.9744613577601855,0.768459873304191,0.852754695817937,0.7177932530897071,0.7326684045667696,0.7243408268604151,0.7644294299314028,0.9186736094080201,0.841690125232407,0.7395134448988313,0.6651547174929252,0.6632268283726923,0.633577700764679,0.6787683845515318,0.8390495801312423,0.9164553153067394,1.2141919389415743,1.6233664177475327,1.9334951315299382,1.5528867791462422,1.5076381978442541,1.2776158871846608,1.124079758433093,0.7738511663081968,0.6123387140373862,0.6138986951382626,0.6897935156940725,0.6555697006727741,0.7271594143448443,0.8358551457244012,0.993126752629894,1.0523431400004946,1.154760139348533,0.9844645793166372,1.0079202691436486,0.9923671602294419,0.9305664212816043,0.8389161978594002,0.753142393704535,1.1445599322900137,1.238664069409805,1.0988311788827159,1.3007616839803156,1.1001119323144697,1.1574696433427745,1.0890205601973804,0.966382849807641,0.8780186531027149,0.7271270477000737,0.6987243045528995,0.6429284062440835,0.7178478083755157,0.8109582555025721,1.0851251108778208,1.1758005187170701,0.8154217397191671,0.8243589472499465,0.6836573699278193,0.8377893582672276,0.7080478818823019,0.7452046248164348,0.9607024849584299,0.9205218734218245,1.0043997902259638,1.0743828196490544,0.9569716603702896,1.0092906519540568,1.2461257164595656,1.278075607175275,1.0898905848710134,0.9878559015824606,0.8960978199287938,0.8847635718848181,0.8427779507028503,0.8593340745690267,0.8117662942322613,0.9203176476846889,0.889718507757794,0.9672781256369601,0.8618206926256919,0.920118002257277,0.7832771760184326,0.9029126449418486,1.031473480578416,1.0060002916651098,1.0315205700926955,1.0828646508563762,1.3845015186479035,1.846874962531017,1.670270906264131,2.379701834191763,2.071302578963032,1.9348172836596786,1.734731330790447,1.5925696630239328,1.7190914900259784,1.4921543394794896,1.3662929645311994,1.2769472461016302,1.2615555546772121,1.0764067163677258,0.9959774153518164,0.9910485396270552,0.9696720900980987,0.9174113506354669,0.9407115610828503,0.9591616368352992,0.9498859568348854,0.88651560463242,1.0138040635528907,0.9835437571371664,0.9781119250068451,1.134013173468155,1.1658227879603122,1.2603078068195654,1.3039918172451161,1.1310067576941867,1.408122441385626,1.1823548262890466,1.1795972947170237,1.4115516994334778,2.042049333508276,1.766705844335518,1.3546871858214458,1.2903600954208339,1.2520033832820057,1.235072664134773,1.4355196564239552,1.5576980092133244,1.3764398710924228,1.3672142637393503,1.852389334919589,1.7567169541965546,1.5449655655269443,1.8277474647712213,2.1593152481781446,1.9068452276349226,1.8131710549521547,1.4029279808208042,1.2312338295769718,1.2302589915620077,1.1644561905499986,1.2150069667255459,1.136550904417707,1.3008868911237124,1.1361491333381746,1.0028559533721453,1.1421308639592633,1.1807680999109254,0.9574186638154809,1.025231146759006,1.1930183446348697,1.065215944401521,0.9441654551904226,1.0617792890645894,1.3009224651702513,0.9372470086722471,0.8764099106346896,0.8621880676337136,0.8745560948747811,0.9217169945317317,0.9816009343720433,1.0535026134513628,0.9646032671283716,1.0848974598561052,1.2814563422010847,1.2584336608180409,1.2519171964075522,1.59590883831917,1.8085299397959118,1.5270284780756274,1.7069547261941653,1.9874485162135163,2.0863553234190273,1.9129266708826314,1.5965417389703078,2.339519766338777,2.0625370951719932,1.7437664021072843,1.4352617762246742,1.1546986751539907,1.0787454772897858,1.2825800230630633,1.1754641599350382,1.4614184294256622,1.1345591548490845,1.1432613591679646,0.9367680591045418,1.1127083805044042,0.7389203817034979,0.9613851201486315,0.7394573297639592,0.6937883699723215,1.195221498271462,0.778449432769238,0.7924067082307233,0.9562183155476991,1.0857854953528332,0.951620976953485,0.9563447752255082,1.1011308717238375,1.4469892021215909,1.6375772917441236,2.106122553954926],[0.9469949604125272,0.7116915769402802,0.9451945825888657,0.5203899507724848,0.6606456460271758,0.67012163985257,0.7039166209030704,0.7475600173358143,0.7587534751476916,0.8424818481238342,0.929538951649173,0.9375477389799618,1.026772652225953,1.0858073662377923,1.4241104261341542,1.3133346342963825,1.311764585971297,1.5236981719434801,1.7241132512286697,1.5809520739216678,1.7686372073316396,1.7075525769522908,1.8689116635969534,1.845476244266682,1.7159954881419381,1.6924325473665227,1.4347393861887558,1.412209163169684,1.385209319767528,1.2450136651447876,1.4763358773962936,1.265583685119946,1.362650418506819,1.4947537564750137,1.3965830361986256,1.4395920901874601,1.2925976693674908,1.329168207238761,1.2901716629395068,1.2036334931173165,1.2980621061037294,1.5716560853985133,1.5598405026527922,1.7146328520097482,1.9021848310539409,2.2558028689919682,2.6406450081449027,1.9669402549485486,2.6297170362517157,2.8214959795605314,2.0346230690372598,2.1930506229717244,1.6476409726481274,1.5679469277153264,1.5545216680301774,1.5884914009862632,1.6620302005475394,1.5534392229733036,1.6363962961450949,2.0852083508878314,1.7786508970730435,1.7845649076388563,1.7296045200133519,1.915079031378553,1.7764673591029807,1.6870860096101747,1.8964527514405825,1.7461820811237978,1.8089278760801693,1.8303167119177957,1.8884144693736495,2.1480304221481723,1.9395140558691868,2.0020753947125085,1.7867160381560772,2.1015346320281845,1.72137771671449,1.6878284177483929,1.6014590136867348,1.596568497365109,1.3737085811427456,1.3172918145371117,1.2212349900747552,1.1359687493419268,1.1618617961947,1.1873314496263812,1.358324051799295,1.3302567362040068,1.503229474890813,1.5712175777439579,1.5877386622311824,1.7517319115550123,1.6988631852950293,1.571793914188465,1.47164312407716,1.56465138705044,1.533145768852383,1.2944808138211144,1.1412271074109077,1.0387677400611692,1.0756705531488036,0.8753585112498132,0.9539951616752016,0.8176609324250935,0.8360517284515969,0.822007677005196,0.839649228130951,0.9617284692645596,0.9062202103598257,0.83034865352536,0.7490994795938966,0.7736952941457593,0.7388272867691096,0.7860607833359774,0.9181699945673996,0.9717702560838631,1.2548015369442278,1.6142325599503713,1.9404019829854549,1.5874258481712191,1.5424051678961492,1.3212446662429191,1.1497594416557997,0.832504126391436,0.7001852006225668,0.7217079946994238,0.7463173146945176,0.7548731144429154,0.8095334333813363,0.9188343479715467,1.0523876218287547,1.0934394542650825,1.1974531944291251,1.0556390985081638,1.0839910064983287,1.069901705210216,1.0025007206162464,0.9272133760412733,0.8735244320241032,1.2005430962247663,1.18344861682095,1.121886380355201,1.2971832467086286,1.1141879352448654,1.1788182787214867,1.1417238879693905,1.0324700034991747,0.9674298777898527,0.8313981791546653,0.7968704269066131,0.7375322046640511,0.8184270285445179,0.8993151147128382,1.1524601368523613,1.2500899404865307,0.9238177272218479,0.9301839348493081,0.7960961602378287,0.9397818394056452,0.8161666422499011,0.8489059455333777,1.0370725058091994,0.9850753955858415,1.06554595132286,1.118332385428337,1.02928452949879,1.0729889081126676,1.294207353172389,1.3258890334657083,1.1750852524462916,1.0722447885707906,0.9903508917633461,0.9685203441842515,0.9364650115013937,0.9531683204520274,0.9155412926842551,1.016209412997028,0.9973516542656465,1.0568327346676063,0.9610257742140227,1.0056087940563632,0.8843961528849718,0.9907328910939293,1.1101258593217473,1.0910741126965482,1.0906034763928092,1.1194875875938255,1.4195843365869785,1.9088873306902954,1.7181970276652256,2.4059366494943344,2.1452276911733867,1.9600627581304395,1.762554300142817,1.6103206062045854,1.7094554935660846,1.5075921356526498,1.3753861616907566,1.2749414019836371,1.2957464007707888,1.0780108141889206,1.0385572066250774,1.0273856497974567,0.9632125037706378,0.9182678202214457,0.9839301561813653,0.9565046010338228,0.9279108956811412,0.9057569258904252,1.0286232259043022,0.954209907140661,0.9504783615397068,1.1514974408101482,1.1462094502477296,1.1848551549282882,1.2072925573360789,1.0484431181981757,1.3000918939887027,1.0958285624619428,1.0752693407514442,1.2873261216381275,1.924895702533553,1.6257212398499352,1.2855506441600097,1.1992451100253223,1.170657011594058,1.2035763726233857,1.37096366402372,1.4559169137697832,1.3113690408695986,1.3163971903162142,1.7693231101196334,1.6769868285075265,1.4863840141119309,1.77496427374396,2.054940223238455,1.8272936656921495,1.7865069648028986,1.3647097965110129,1.2320339639330937,1.2351836959490534,1.1835102219499982,1.253565758165908,1.2049940959130734,1.3901781769012662,1.1906295658173012,1.060426358273255,1.240899543855466,1.263678736249273,1.0245106354671916,1.114397029830245,1.2921913610223523,1.1311187660080915,0.9992649580028106,1.1369179581107542,1.348751858548739,0.9662782846102353,0.8979944198537658,0.8478247049918104,0.855037905117152,0.9241295207094649,0.9457350005335621,0.9677203499611865,0.9163616668239173,1.0281126457346776,1.175912587134388,1.1613487411169925,1.1784080677777664,1.4798495058136039,1.6668830992310826,1.4293502144475623,1.6206067592807567,1.8618119876534565,1.946534310974619,1.8002685001041154,1.5136935360205015,2.243424923175457,2.017582313342696,1.6409963207171112,1.362175202728525,1.0939857698594595,1.0253293976109492,1.22247910290009,1.1282679576144734,1.4146501228553918,1.1246787440637005,1.1095022717790108,0.950639786042079,1.1092995451345309,0.796695752282981,1.0254180053039355,0.7837799460414645,0.7469163190062321,1.2001577573074822,0.8123083834089293,0.8425127017629298,0.993916418595231,1.1470663519956923,1.0522203234005945,1.0367770770355587,1.208331048761217,1.4555141446778446,1.7407187440084726,2.2241513432151025],[0.9518348347018825,0.689508502862557,0.9399339447816728,0.3779193721856001,0.5540840648657541,0.5235961938592797,0.5494405824676096,0.5892702039958663,0.5942058049351199,0.6609452150652785,0.7351065380297648,0.7476556987604578,0.8391023628805592,0.9018523344433953,1.2236577684902454,1.1115543888824775,1.15002567506365,1.349826392042474,1.5792383881768013,1.4213406672813886,1.6131241934890788,1.5490842237105622,1.7437964547345268,1.7391285443601174,1.610570695895513,1.5761785533517954,1.303577954325642,1.2892195159265685,1.2219653449921979,1.0542925056259045,1.2666601752995188,1.0513192767178947,1.1353936417069517,1.2561721347917987,1.184485649636241,1.2405995833829007,1.0979742131453718,1.1553854713611615,1.1366129839665746,1.0427391012787326,1.1741252426613038,1.4224758565096831,1.3884782594529268,1.576938864246846,1.8084337459595765,2.2084936438408955,2.643687269572957,1.872291801459427,2.5923629296486776,2.844885132153964,1.9357363227068087,2.106062698512233,1.5032219809789658,1.4014657728330173,1.438192389317059,1.41607252352326,1.5110974406241795,1.3976539319600965,1.4608398416493666,1.950950888592073,1.6225970309760558,1.5940276807833011,1.519663772501922,1.7289046952568818,1.5917389391122223,1.4989565010122987,1.7059724717861113,1.5539097917402396,1.629963061974164,1.6414338573643157,1.7044137422358892,1.947657570956068,1.7319704179454571,1.806507064328033,1.582798970111945,1.8803251840055983,1.5204186305191365,1.474519799265849,1.3944573235226367,1.4051917758325339,1.1766826123558132,1.148106791189461,1.0105821921852396,0.9481651215196649,0.9763246582764565,1.0012122523282507,1.1818394609763403,1.1374902118916346,1.3045727701962437,1.3500344228936094,1.3631002770047398,1.5348315112194195,1.4762063269614167,1.3271428605614557,1.2418436114862819,1.3246247028706395,1.3263156547138877,1.0750980134855737,0.9232165653935666,0.8092026281015806,0.8510764172630715,0.694970581775582,0.7515825980855315,0.6545518961552794,0.6913076966180247,0.6980962775773573,0.7732981620442311,0.9334240452679473,0.8582216216192041,0.722144477133084,0.6553222903052046,0.6291780223816795,0.5786534409519396,0.6164400702842805,0.7570654666517795,0.861740354291029,1.158707623822622,1.6918558390557676,1.836913576994597,1.4527283778420286,1.4178025648076682,1.2061769497458938,1.1017354667550578,0.6974651292423307,0.5340309980612373,0.5689062373609989,0.6707612035743168,0.6368278432109656,0.7301203227859124,0.8490317741804866,1.0189778491070856,1.0783334613399933,1.1753543346838395,0.9989365813130108,1.02501352909416,0.9949183735533599,0.9486693452264603,0.835340556809605,0.7152240547177626,1.098975339501996,1.2916892577969636,1.0732082491860602,1.2700273710314065,1.082260417555211,1.0836420328426724,1.0010393257891417,0.8848569838046365,0.7876447860272267,0.6511963858845173,0.6256109503172492,0.5914786762693057,0.6367929830143572,0.7335231046276065,0.9858185052924132,1.0645049176134127,0.7103646895937751,0.7193064887916545,0.6068244015413615,0.7421793882658699,0.6351478449844097,0.67366382610188,0.8638554503119419,0.8502080119898305,0.9160514417977902,0.989132293567938,0.9073570329006625,0.9552264455823132,1.191599658577129,1.2467422283674239,1.0729964171545936,0.9723810424312885,0.8562693672536734,0.823886289886183,0.7741612471705308,0.7725808937194779,0.727298937448665,0.8150991671547657,0.7884781624564402,0.8751398216288853,0.7844840674728749,0.8431158018806012,0.7453696057936116,0.8840766692532577,1.018260096414216,0.985118916178018,0.9732426817536493,0.9930321706450919,1.3076340200230976,1.791465893584395,1.6130577938961366,2.324957861754474,2.044164482032513,1.9161857771468072,1.7362183245335243,1.599002933621736,1.7181626590310128,1.5089774846320676,1.3836112107363105,1.2924239669506363,1.274480889657141,1.0932515913983605,1.0032962057152555,0.9896105570261469,0.969859107203039,0.9192400748266971,0.9267407176687894,0.9332265187310107,0.9371804533250571,0.8659352651471948,0.9705993969101444,0.9381734075638117,0.9250112377929308,1.0619557274898466,1.0892999054925248,1.1725401817631367,1.23480757541098,1.0625491824595297,1.3436694367932336,1.1404283456378441,1.1270405818619316,1.3468780161733507,1.980058234175888,1.7019512488432946,1.3211131394892048,1.2725619408896165,1.2400218318309768,1.2455852000523653,1.4203715414839224,1.5113132543200334,1.3628128978142056,1.3622592934975888,1.812832424146511,1.7142407969835716,1.5261709614165415,1.8018779166326009,2.083292814208114,1.8614045976904157,1.8037002276539007,1.402812362265287,1.2490354759169588,1.250859828771964,1.1891781763192122,1.2353006377483522,1.1646175130900596,1.3120821111076553,1.1490741829452682,1.0261922614534817,1.1398035931359174,1.1597941909455614,0.9524760273779131,1.0048963614208728,1.1559115626136816,1.033160191141655,0.9264151825873349,1.0282271526994806,1.2644190701941995,0.8957848562279207,0.8456516689851158,0.8395289127584877,0.8654073118977456,0.9243817194196141,0.9888681797754564,1.030533793099161,0.9519547429188517,1.0770998740061726,1.2429635505196386,1.2211282423332874,1.2321487473445585,1.5403917574009203,1.7206928156617582,1.4800814938187679,1.6591175869278918,1.8961069173962188,1.974449922805581,1.8303053162424778,1.5495675991724518,2.257900105261473,2.042379648115202,1.6722651922455567,1.397014178639532,1.1290464583194362,1.0276879690026794,1.2636808495924505,1.1688010367658248,1.447905392182227,1.1430659974849482,1.138573159510211,0.9251773145168383,1.1189046858314768,0.7425463366667172,0.9265996440773443,0.7217274848489162,0.6721475883735986,1.0916408377482223,0.7198652686393862,0.7316380848673675,0.8645364912902002,1.0351547266582222,0.8717885827450012,0.908070557710867,1.0493858110299799,1.369639247470901,1.6687848669581997,2.0730997067031227],[1.1143436556677868,0.7876257448773226,1.0116752790308106,0.4028814978293425,0.5628396566490446,0.5334377726437649,0.5506209520867462,0.5901102757014716,0.6052972806571827,0.6818405000381715,0.7676839585031642,0.7795812292823052,0.8864316355222276,0.9528325228163455,1.312780220654189,1.201150283940737,1.2401661835794846,1.4941161842655384,1.7777501621442224,1.628877563203599,1.8800002869201409,1.8380377300042456,2.070467758293203,2.082569456872942,1.8854612027206474,1.8188126625976389,1.4844693542867815,1.429547679054552,1.3512102377609474,1.1537407371583959,1.4064892442422645,1.1525568444726815,1.245717386969392,1.4068321620011035,1.328202541309264,1.3999282813992449,1.2156940552112354,1.315310295505445,1.2932956116336687,1.2231363479658703,1.3765385768157437,1.66646753570226,1.666786285902788,1.834679694083683,2.0799189687342894,2.4147797610768422,2.872800057163751,2.145467242357824,2.6667549428092268,2.9674639963006078,2.191721592814821,2.2709237028020746,1.7495829534349085,1.5973316517706733,1.6482037052660121,1.6933009462025579,1.7857053617388836,1.6416746671589804,1.7260765480780682,2.242981559593924,1.9077970513259248,1.8865349270962104,1.7831722958305358,2.0459569287874246,1.9012426317975237,1.7578990022728795,1.9788316097978988,1.7719240608653961,1.848536961947231,1.8119705709395255,1.8986909934518272,2.1742158098337443,1.9370805543206915,2.0485440125335748,1.7889536639800359,2.1007325396278285,1.7567480799142785,1.7065722446100784,1.6185069946314616,1.6462813912714516,1.3638894878794534,1.325706114642068,1.104108628925685,1.0723658625462416,1.0973716346962985,1.1330737642474888,1.3612339072255835,1.279317440977649,1.4970321762996857,1.529243169227773,1.5548514564022757,1.7384158782324084,1.6520256732245797,1.4800576484103631,1.3655600464929774,1.447860516052563,1.4128969856663622,1.1577992006955655,0.9741525039233084,0.8293234987636874,0.9123266577018951,0.7088330040685847,0.8130337437711309,0.669880216532885,0.7096589949519966,0.7024109573386088,0.8003819312843092,0.9709676924844871,0.8786237403300527,0.723475702241297,0.6597936259466056,0.627350439799382,0.5794485654400671,0.6248303969254053,0.7924918870806055,0.9010903944182764,1.2427216462729072,1.7300394681516609,2.0026813831328822,1.5894457895491012,1.5146689094176782,1.2615181368504715,1.1227655431164905,0.7138137166166986,0.5400875284553659,0.5628934100213447,0.6823400206538073,0.6263305056184595,0.733001951051447,0.8603019165538364,1.0379887610955432,1.1218328254940462,1.2119699471269405,1.0230610492542482,1.0261650685741843,0.9849883662900937,0.9349117795114223,0.8213394507490408,0.6799021780036689,1.125228703011575,1.5525648824148521,1.1861516820882143,1.4044581282650368,1.1903023857613293,1.2358998426776977,1.108263259667051,0.9564113862275617,0.8418721144848386,0.6769661959241661,0.6309455377550417,0.5895353048902156,0.633426362104399,0.7242374451510455,0.9745698649373493,1.061441362502054,0.7177427144126659,0.7417549006381242,0.6138189442618692,0.7846165980405165,0.6535060324280451,0.7048434745705358,0.9444873882717855,0.9228817202065368,1.02216503589272,1.114241333422446,0.9563837402024713,1.0221046783644887,1.2631137737351252,1.2876536765565434,1.064692744638373,0.986332356224292,0.8755380946812564,0.8774354553492031,0.8260345313903983,0.8409393608345277,0.7751821802369447,0.8784885241432914,0.8474873111761945,0.9604851636700181,0.8496742239911709,0.9204181946566827,0.7636021118697014,0.9165959105943002,1.0526316080513276,1.008948349282807,1.061300727522348,1.1365641809422509,1.393615150929742,1.7860993939821295,1.6558095228812004,2.3908806739503516,2.0430563057066102,1.9545048151976738,1.7579078870323837,1.6507010445318078,1.8106991717816223,1.5626079622378162,1.4730103195983604,1.3875517821769492,1.2886962533419575,1.1928129268779508,1.048345135546483,1.030785562210658,1.0757319463359232,1.028298768702287,0.9701216176572626,1.0255836225970136,1.066502357092625,0.9476812363446211,1.034722396240688,1.058476087899755,1.0452626166011885,1.1112162467384024,1.176895694564103,1.3186792019900673,1.4161537323856221,1.2334239275581638,1.5568823151807647,1.334914943777337,1.34227092444738,1.5906421630224525,2.2037569013639486,1.9790365345585164,1.5278079688165764,1.503472539942664,1.4763675395358835,1.4141386705806278,1.639978010065591,1.7707831513249985,1.5644944965767993,1.5492127542843255,2.0513228680180022,1.9364584006327505,1.715422487206075,1.9958760300327396,2.3390626326396786,2.0759823638020487,1.9347454678806482,1.551617817676435,1.356565357975821,1.3755764393411671,1.2982936422512625,1.289802437715394,1.2104914044358925,1.2988461949981152,1.176332020879333,1.083563120461913,1.123413475943304,1.1349977307722239,0.9759387151638963,0.9935068596128555,1.1182483144149056,1.0354565359211971,0.9612281045563668,1.0245613160266969,1.2751366493155685,0.9577467210032645,0.9359896044081775,0.9718657355301069,1.0129742802922725,1.04269452127891,1.1649992435682703,1.2479274947827104,1.119489410756429,1.2650695477866514,1.4794270121478357,1.4382985672742903,1.4248781928729617,1.7958730390512239,1.9835087168505567,1.6874162417621208,1.8654346637846246,2.172109083536966,2.2424993498837384,2.0576435364537544,1.7325419905152584,2.4614535022409174,2.1678771266187598,1.882926921975761,1.5691596083231187,1.2915906171159977,1.1702872482926823,1.4186988442005048,1.3106457499486466,1.576516607515075,1.2372513131515666,1.262857960766871,0.9852184440950528,1.188615963182786,0.7643071998545993,0.9200368621653567,0.7526430407645041,0.7050803341124391,1.0702752143265406,0.7371382882917776,0.7374352696648654,0.863856289801375,1.0295651395036185,0.8427905855169494,0.9061179449681462,1.0121443810900461,1.3817944077498598,1.6698144146376315,2.0607289204253165],[0.9923408720974382,0.7204058023913541,0.9530542073037367,0.430574274912732,0.59087426899766,0.6017168251501589,0.6693997277585816,0.7454014127158691,0.7607336465702628,0.8725572875255605,0.9784417936072272,1.0005329756047645,1.1042823510115114,1.1564197460210834,1.5402052059397797,1.4347543951382833,1.4481876251055528,1.7109894841300843,1.9765459341972829,1.8346077494953792,2.076259277173186,2.0222480499208313,2.234546154615681,2.2174609537290735,2.0317523761642287,1.9860170666933692,1.6602306231136612,1.607820165162122,1.5594839407513972,1.3863218072448418,1.657182527680681,1.4072769652425616,1.5127978392831498,1.6744836122264684,1.5818615555238402,1.640194223175575,1.451957371677954,1.5340886206619702,1.4883045525018543,1.4066113401968383,1.525988666181375,1.848964685651032,1.8557874977491882,1.9785990127478548,2.154798511160915,2.446643936358001,2.826627744947619,2.208684659188938,2.7059754144606574,2.9252381639076663,2.284494179175827,2.342781496770398,1.897709932700265,1.7698417309198653,1.806287418258146,1.876769584320146,1.9507701813909715,1.830729064758969,1.9210908184055238,2.4074817430875854,2.084226054658679,2.0909325345952685,2.010326734282957,2.2449101901955846,2.0937860185415555,1.9709003953029502,2.1930214045183893,1.9991389396528785,2.07070433703538,2.0400539429919298,2.1304255604640785,2.4029202422706555,2.1710997458452868,2.2732885537625163,2.0234158926879684,2.320305236425054,1.9936153546608293,1.9579814407107492,1.8629486157188733,1.8760004300924331,1.603020779471056,1.5343295606467398,1.337391993956573,1.2871390031344587,1.2980464018861628,1.3504648450958618,1.5788861672022976,1.5140108170596251,1.733577203207883,1.785218429643597,1.8132321484978207,1.9887022978841051,1.9121365378827546,1.7530709586489597,1.627759902796678,1.7156704855996059,1.6413230126216292,1.415843042168897,1.2260000157340898,1.079759203675898,1.176218136816838,0.9311229707372297,1.0597691712313404,0.8756326194395203,0.8827238533186249,0.8364218043239933,0.8810888800664389,1.022307156663922,0.9164928939440664,0.808553370662722,0.7235770808604919,0.7737721740640727,0.7345400203909678,0.8025969016429186,0.9831651247184612,1.050152491233259,1.403100531962845,1.7741790645031652,2.1615699447814545,1.7881811815929212,1.6886571681436224,1.4175999711146554,1.2213178328272987,0.8564647852953373,0.6913825757396715,0.7082251794473161,0.7234171120428013,0.7312025398308418,0.8047892406785132,0.9431308161606017,1.0720542901337888,1.1542922155423705,1.26830844009836,1.1099684176997575,1.1138557701680987,1.0700170589248548,0.9739459169812672,0.9174830519619921,0.8353106479767909,1.2129464565424626,1.5508879978711618,1.24721484523131,1.5031898909661712,1.2952464002336146,1.385215707042676,1.2936581330514083,1.136072951584272,1.0536403839285085,0.8846889017695175,0.8270427766272342,0.7502892564371093,0.8242631984212196,0.8744806771880338,1.1226803591144596,1.2437826260984237,0.9476620713272849,0.9790848630947427,0.8283991200726745,1.0175506605816182,0.8563621419696965,0.900515702364721,1.1474311128041164,1.084683780954964,1.1935330747603181,1.232344025960225,1.0598721455290223,1.1117786899100681,1.3283152015819024,1.3616420132311333,1.1758713726104928,1.0956367945632495,1.0281161966345445,1.0249218461764404,1.004328904460251,1.0413494939313017,0.9880524516580339,1.0985526064351676,1.0760994857401172,1.160903807551199,1.0544997731150119,1.1034260385779326,0.9245337384876756,1.045096190168701,1.1584490993506467,1.1221132675487266,1.1842888714163846,1.2686894069633572,1.5004955424957347,1.8958136925789375,1.7617692639179883,2.467988906860644,2.1562904774065226,2.023185381880218,1.8149894920010807,1.6930071674725606,1.8110768060191247,1.5672029488874746,1.467257707437464,1.355131094685644,1.2690119798340533,1.1503006833165366,1.019749284218017,0.9940042989474913,1.0055496477941779,0.9531165842256294,0.9266058952761121,0.9351040032706248,0.9700062569464788,0.8646926203120665,0.9598692102053187,0.9510446470913729,0.9308187317810018,1.0478766156758215,1.0895837905338606,1.191651000138306,1.2731595759470704,1.1020160766922145,1.4359360240245338,1.2143697709391632,1.2071731428813122,1.461536775550109,2.097466691298647,1.869698769062715,1.4221528837429664,1.411310706027009,1.3902319067797453,1.3566926288483006,1.5769447958083629,1.6876134956060163,1.5004032519545134,1.499504300968988,1.9975663502555945,1.869696403087586,1.6651781783667279,1.9777345258161723,2.2854053079426726,2.0188837886978055,1.9220830406240497,1.4999608753505589,1.335418466661834,1.3596239420305285,1.2778433254177706,1.28650444336025,1.2109015026786243,1.3388341335151488,1.173778425784358,1.0630712453719184,1.1646815072511942,1.1701344064294539,0.9571013151892467,1.0040646697574522,1.1632251056397096,1.0254505997019694,0.9206358309215918,1.0188883988812132,1.2555935580172324,0.8861322042752461,0.8448911491594115,0.8638633715606097,0.9036743571971971,0.9602867043641784,1.0760417727054303,1.1142751268545197,1.0064509370886474,1.1705731856463015,1.3666406722168953,1.3259956137185207,1.3356938853845253,1.7032569033657634,1.868711257078974,1.5943038879250289,1.7965270091556234,2.088489526279122,2.152869815933248,1.9742401958927203,1.6540785935824038,2.3963010182949445,2.117797350315545,1.7845360405547739,1.4708491676891138,1.1827087532236513,1.0473440665958589,1.3115060509891385,1.2211067755299294,1.5103729043962941,1.202959684107252,1.2055886486249003,0.9332856797556477,1.1424625264334827,0.7640046034718083,0.9269122061803066,0.7439557258073862,0.7031566992675846,1.0298967420454819,0.7420864442944082,0.782004410688136,0.900159968632736,1.075996805944486,0.9506957705918361,0.9901558520241937,1.174087215461964,1.4020739425032673,1.7786689406437184,2.2257686924922413],[1.0674482480273082,0.8866782406090987,1.0783570093135963,0.6795001631680863,0.7886930516195771,0.7499653011838884,0.7963025252362174,0.8797670465946189,0.8791240754479056,0.954759512135038,1.0390738590616195,1.0834251371372363,1.1541236917035507,1.1840736438648858,1.515406757331872,1.4158402492074242,1.443519061308503,1.6379506296860296,1.854881244265812,1.7101601011039582,1.8873098175307852,1.8098618222725953,1.987077905598825,1.9622921812978569,1.8453680783015962,1.8359674765879423,1.568683243521586,1.5660097038078309,1.5126764528942578,1.3691245905885645,1.5829096437370629,1.3906296016439244,1.4702732584956035,1.5801438682816047,1.5111570743664067,1.5573928732259457,1.416778597466881,1.4659925019642923,1.4302351963956517,1.3326881702412168,1.4274015868299497,1.6994456126681954,1.6743807484372593,1.8009174045421734,1.9652719421804083,2.299102252161163,2.7174779595075274,2.0282499928920186,2.6309624754818084,2.8650407601146797,2.1227595354224302,2.2546967438723775,1.7589813742093356,1.668331519490726,1.7145299434234882,1.688053994093196,1.7545573872999778,1.676545763748373,1.7282118334282106,2.16680531129764,1.8635081691708644,1.8516863416618623,1.800445434168058,1.9841029924549465,1.8434334453467756,1.7745043155510423,1.9741576658718387,1.8456635687992604,1.9072437385662309,1.922261666717251,1.992914833287619,2.224090858170172,2.003346691411082,2.0660894721205225,1.8659410208977365,2.135233287945762,1.8169323113060991,1.7885285728337021,1.7092645246119722,1.7237495709596402,1.4986195593721146,1.4540230269029994,1.3072122092914742,1.2624946095624339,1.2612885728833878,1.3101088753029173,1.4910451755287588,1.4428385867730216,1.6144952394412222,1.6611549648804038,1.6776430856610554,1.8322402700347866,1.7762285104531763,1.6494928530159607,1.5623817878251207,1.6370936519558694,1.6222458772238952,1.4074607501221335,1.2508498176310248,1.1356592336703641,1.211878274838829,1.0122736839441182,1.105588359763526,0.9550302779746555,0.9589226436669889,0.9182892719850021,0.9592775926282264,1.077601328670799,0.9832961433205012,0.8918414864109556,0.8290136267040183,0.8782923515169547,0.8520104522885474,0.8966472412317789,1.052661247541118,1.1133706290935383,1.4231323716222317,1.8079968617984712,2.0607488862324215,1.7300857310617417,1.6598566288308392,1.4419666512874352,1.2862035914115397,0.9402824322001463,0.7968236046610674,0.8143379184409995,0.8154434380980843,0.8329717170650999,0.8884863237331144,1.0048375039936832,1.081303793376381,1.1540550877639704,1.2624821285643828,1.1378022382511688,1.1432970114077823,1.1041210519877038,1.028490708938814,0.9811491195514627,0.9113095470382208,1.2618575694936867,1.6421140845055737,1.2307147250666544,1.4878911015165095,1.321819415914395,1.357382539597613,1.2912403368264438,1.166553855303363,1.0981367597638942,0.9645536278970925,0.9351837392726733,0.8651422773523526,0.9542885388155505,0.9631612147473817,1.2075663919382056,1.3128572242169925,1.0398753290059468,1.0646566329152747,0.925782105936042,1.0768949922088722,0.9473095022190432,0.9704112178311031,1.1625430467493076,1.1091203501893465,1.181811251491535,1.2122159403753197,1.0901878852162676,1.1363823385480218,1.359771881829452,1.416520380478481,1.2490983264126243,1.151678345865928,1.085845192439179,1.0549443406974037,1.0409445135167417,1.069516417428102,1.0353397811419915,1.1240158427568885,1.0965432557488863,1.1592691647139233,1.0816187414834866,1.12427874297627,0.9860265534932307,1.089095964350095,1.1952698745993646,1.1626085782183115,1.1837854431923909,1.2319629573684032,1.4601127054821668,1.927735359906379,1.7721695776403006,2.489628707688347,2.210582939771592,2.0349649239414704,1.8122866360652967,1.664209606684139,1.7258185295687665,1.5061999100473658,1.4079448311406144,1.2869580802214524,1.2522442978082504,1.1179926665229662,1.035234576366683,1.018619453561134,0.9927787621844133,0.9551023963775028,0.9961716137482463,0.9728677882854678,0.9905740924252237,0.9434986322320126,1.070249872461352,1.028390057313684,1.0124631706891465,1.1677165613052607,1.1808085623577607,1.1980464071594148,1.2382590956955108,1.1173637034287558,1.3581589664958031,1.173704773321261,1.1626602253306695,1.3276967047347465,1.9676057609872106,1.7248374989117123,1.3362632039094782,1.315276535059414,1.28639395724034,1.2911731154605726,1.4591538246179458,1.5247454405194618,1.3893477982303777,1.4001739571416318,1.8322679894406828,1.698137704007757,1.530287693333211,1.8466113221883356,2.077067571705644,1.8394536840776217,1.8008049096963372,1.4039072571869655,1.2860260535470671,1.3169414568799984,1.2684728941457453,1.298852004630262,1.245978238659949,1.3811930373133536,1.20464592053806,1.111937874883941,1.2239728695663923,1.226440515304836,1.024365997559765,1.1094735003143303,1.2800213814803794,1.1381336002563813,1.039750749967956,1.145648130442071,1.356782349441587,1.001451866506241,0.9400503196464931,0.9244212628713758,0.9159893224080371,0.9537158358654138,1.0505443684852376,1.0482201322912363,0.9876831087453117,1.0850937849536197,1.2497243999392205,1.2377668593272584,1.2383698443205113,1.5366724231073428,1.6884308004898054,1.4730029471646404,1.6462286323242405,1.893397036625906,1.958697787206695,1.8046574959248258,1.5452474660999447,2.2133753360240958,2.0483134179027065,1.6882267685568852,1.4418202397543818,1.1762028799673105,1.0887396847802027,1.3407528386915055,1.2358312020581472,1.4751928862583354,1.2228779728391272,1.1733481669769121,0.9657302286677302,1.120356195685296,0.8552591028236266,1.0563465137228771,0.844020890860343,0.8232794072378036,1.073599840314782,0.8869926208599271,0.9734121076086054,1.0274306084157172,1.166530146708273,1.129581238331841,1.1524600291544627,1.2892530394391264,1.449934322944495,1.8524025740307397,2.2648351011196453],[1.1012559587393869,0.800930481110821,1.0179151547219356,0.4155862619013432,0.5767372786718085,0.543238305465203,0.5757235197955338,0.6398088160324928,0.637533729407776,0.7271479102132908,0.8181557899255665,0.8402753446767381,0.9375053689076718,0.977821136826246,1.3151161082449505,1.2103919767921365,1.2671305048005947,1.506781840421379,1.7925970209691247,1.645180787043396,1.8816096352430227,1.8341754997762743,2.0785169041099616,2.108352623731407,1.9101539473417284,1.8441149681158826,1.5190299715633961,1.4770928700281993,1.3825149366923202,1.1829401700838542,1.4116591110403498,1.1792529116040553,1.2583086633026015,1.4039731518179759,1.3395193430284513,1.4080058204233346,1.248430759547006,1.3495632289553758,1.3301854515212221,1.2553176942323498,1.414046538632717,1.6849910100690495,1.671223022545342,1.832396537322615,2.0981382633016485,2.453818086326106,2.950371147962616,2.1680568853951576,2.659031185569911,3.006544850524676,2.216745697414581,2.2785240592860014,1.7704809462313547,1.6052160976279097,1.7000733026445847,1.6953887193851902,1.7896180265521882,1.6631211347387411,1.724512967326816,2.227029690238872,1.8990186215999505,1.8538395170205189,1.7628285219034743,2.025756770900534,1.876031526348218,1.7471080664379706,1.947635076604466,1.7617179048607836,1.8327412870174917,1.7955670828501336,1.885101804509303,2.141894217644331,1.8976532752440471,2.006113221732606,1.7686180752229566,2.0523068434070906,1.7497561278021883,1.6986666216228887,1.6161078282104298,1.6529480998374564,1.3841830240528887,1.3566986767623066,1.1371689680890824,1.1178570178559764,1.1207716321144539,1.1682041874716507,1.390356656320259,1.2972418689940977,1.501812540226819,1.5274689358736746,1.5470886305554892,1.7229710737699846,1.6333795918617455,1.4665508486418695,1.3651925930471076,1.4380018714924552,1.4254585470156185,1.172945427110204,0.9986274959291263,0.8451100145724093,0.9630440382952397,0.7747281457409643,0.8761988086758918,0.7530587257672259,0.7723142871039522,0.7550347186917108,0.8875297533883223,1.0425022331450562,0.9296756218385764,0.7598999806594201,0.6985519908823044,0.6888076885536742,0.6472632735483911,0.696240568275362,0.8587574495654453,0.970175107247432,1.3015733989577538,1.8073915145416086,2.0015869896073073,1.6168278610536395,1.5264881141233697,1.2856015496510462,1.163546776938006,0.7597773361984085,0.6039783066384835,0.624512098228334,0.7250849973416299,0.6734365176741338,0.7724416622548798,0.9223690799130254,1.0845372114148646,1.1842274621593831,1.27525011835668,1.0957743935839341,1.0811607381111135,1.0212824983822408,0.9609015450375119,0.8710563327226895,0.7503417234167551,1.1365223027956424,1.8531710593958366,1.3170056798168646,1.4895857702285962,1.294113224695043,1.3089901512456834,1.1643167117506898,1.0119292770588126,0.8986659411729417,0.7536098773103995,0.6953911097604841,0.6655958466379642,0.6875778024484482,0.7601809172983925,0.9791534360232536,1.0430207264394287,0.7638737657053799,0.7965636492900819,0.6856865934841689,0.8437500029279998,0.7231549850482611,0.7613871104953125,0.9925224160531264,0.9760965318735081,1.059791366667737,1.1453582336324417,0.9783053265247599,1.0463714441705192,1.2693758834201656,1.3078334668471507,1.082588340264474,1.0179111327769157,0.9196137867952234,0.9140573433760908,0.8690841616405293,0.8868956250510243,0.828087061727535,0.9171291155046127,0.889532676726215,0.9914206724668717,0.9086856620594657,0.9675202117727923,0.8143640538966296,0.959569477505786,1.087400141094189,1.039041385194887,1.0859914323709392,1.1756695548793488,1.390887283717957,1.753554229232991,1.6608874718542692,2.405168454236802,2.0521078683639424,1.9877138892668396,1.7924100225578246,1.6972492576731795,1.8390210021959077,1.5987963900923514,1.5202339324333536,1.4178530913073562,1.2760619379762048,1.2301653519606395,1.0585525691158255,1.0239452589926423,1.0859336745383823,1.0412429253512514,0.9467016142298541,0.9833585777970233,1.0557242568615104,0.9216668525738039,0.9705995469957918,1.006913157721811,0.9869481358782324,1.015799978587613,1.0845672826958093,1.2143728924515445,1.3328136478215045,1.165137438325045,1.5137579615097418,1.3149457870072108,1.3206428756602469,1.568552510405208,2.1949721501576827,1.99257679790317,1.5563535936704702,1.5536713563548423,1.536544027926005,1.4763017946946324,1.7056480097942532,1.8132597346384158,1.61539084955942,1.6103856719986767,2.0943170492595558,1.9571738680588044,1.7553042914017256,2.0497106455337617,2.3488997050629994,2.0885123447483647,1.9664456873537055,1.5860464598954842,1.4104958702477148,1.4444861490275074,1.365621062371271,1.3496027887417243,1.2785980869928315,1.3402882125893516,1.2124210599044827,1.139433519138849,1.1525300872507214,1.132495402426865,0.9796763579970863,0.9846713297462287,1.0777641359617263,1.0034727572288626,0.958929712564959,0.9826479898660987,1.208081041248389,0.9024167546604892,0.9024819830446651,0.9616651743332533,1.024266953228657,1.0617192121404821,1.2129952972067608,1.2663296926215666,1.1269350255505215,1.299032141218952,1.4990659004937295,1.4477739471639297,1.4483628480603479,1.8125286753177559,1.9614084756383807,1.6818355084397425,1.8748851210484887,2.167999980562485,2.20766498856404,2.023947830134958,1.7049932207244105,2.4030314654766505,2.143356248533018,1.846587896340812,1.5353409023552476,1.2666099899417815,1.105146909101669,1.3896670815961243,1.2989263216515294,1.5561457034247472,1.2679347591153673,1.2800353935695163,0.9633464355779974,1.1881838966096887,0.7776253766131582,0.8784135900719289,0.7545248919257688,0.7167956409367705,0.9566392870610437,0.708410508062919,0.7335640192699213,0.815847749058714,1.02456417412302,0.8528016787569115,0.9297442725371927,1.0275339461685926,1.3372491214130975,1.7767042663785735,2.145323915963301],[1.1787670504451995,0.8107747306413166,1.0245469125345206,0.3711183754201744,0.5547573410569444,0.525475055168905,0.5558174319158663,0.6219649919782303,0.6193563125086471,0.7223212152282746,0.8243836771351691,0.8394033864804372,0.9525144759367037,0.9950335760274995,1.3515788168934668,1.2464311866605782,1.2985756129022974,1.564227006156543,1.868369503649468,1.727095021620543,1.9973309158521892,1.9653229780415642,2.224202216681262,2.25485735829588,2.022344138208483,1.9332698144921499,1.576395736500424,1.5151134988741386,1.4271640185763852,1.221610634891192,1.4738308355952474,1.2235520595702445,1.3119615148698767,1.4811353108672984,1.4070508829858037,1.4784578504307262,1.3013351310268426,1.4119344832657068,1.3939703025462358,1.3453139647086272,1.500252352091039,1.7927917447638537,1.808047203405864,1.9591378344198167,2.2283638942921473,2.5188411572468605,3.0188356471871396,2.28839282353596,2.659630199542506,3.0211388687248837,2.351325426140572,2.3625330016957866,1.9255374121591622,1.717659708001746,1.8100072917872927,1.8509468828326103,1.9280870030605204,1.781828640097836,1.8618452639141772,2.3793330310268397,2.0394701377761084,2.001572766378511,1.897639399314068,2.196025210986937,2.034122164442074,1.8714724509824396,2.082694093182137,1.863811139813004,1.9330967576590363,1.8770462951021325,1.9787971063140923,2.26044805989646,2.007305532564569,2.1249953724367048,1.8728051511794703,2.1764804365649977,1.8679356063983528,1.8175612890105024,1.7270684907054,1.7718461694744616,1.4786487574364717,1.444311386582897,1.1978445161735118,1.206290759037553,1.19722912144494,1.2357596703364344,1.473123553870134,1.3710999594447444,1.5919121053450398,1.6186390825832118,1.64387996561199,1.8326295400921324,1.7282550192398445,1.5463909765187052,1.425677355494329,1.5010484644283784,1.4690489303667305,1.208699520469288,1.0204000936038164,0.853299185321445,0.990395477629391,0.7844060778193135,0.9058771092184683,0.7710670555050304,0.8131059310945618,0.7868209390151027,0.9255565468958401,1.0841603196030851,0.9621242396629449,0.7804958633289052,0.7065430454644518,0.695232199318225,0.6378175527417768,0.6947369368220343,0.8642931298608507,0.96963521352545,1.3108548071418704,1.7634034080356802,2.0579166878179493,1.6653594013075093,1.5583961824287795,1.2979962888066932,1.152243411649165,0.757892469007354,0.589666655786895,0.6159912364797778,0.7150162082745611,0.6790915176548505,0.7910243060010546,0.9534730963573756,1.1094596408203368,1.2312239572483865,1.3200054040775655,1.1462672639045508,1.1105422420079867,1.0415635488564674,0.9715726125170449,0.888838232162024,0.7675884130837345,1.1470066394417664,1.8465550506689554,1.3195653855242395,1.4895004687644706,1.2969687940557626,1.3467712191166026,1.200279561283931,1.033738200347811,0.9186959774147115,0.7641798927631498,0.6907798543248844,0.6606981444744692,0.6744043661297743,0.7501940456842261,0.9605261135064577,1.0363033795167376,0.7592811119058153,0.7970002161303162,0.6890567705015179,0.8596965817525604,0.7435141636742343,0.7909414866375436,1.0299145649641865,1.0102188612783187,1.1159364651600667,1.202228469348463,1.023783510186454,1.1025695361975445,1.3142346373730107,1.3394642284263198,1.1011406520167608,1.0573352407335406,0.95399767802102,0.9642820249612888,0.9170200766231574,0.9364447298795676,0.8731451894909027,0.9531324606883123,0.9419434951592399,1.0537948798938066,0.9691643185565332,1.0317843146801735,0.8614644597346447,1.023447867512943,1.1504417999562422,1.1002269995851899,1.165251899735614,1.2547219295934549,1.4691397795559413,1.78549559802259,1.71557469053079,2.4406794254004103,2.0436582652023327,2.015832402649848,1.81768292514108,1.7384192811648458,1.894796749954152,1.6254136919529145,1.5624479514735257,1.4513523784673337,1.2817399921239285,1.2712639632662968,1.0766182889471967,1.0361205725377594,1.1195653637360499,1.083295137611847,0.9569445491962324,1.0113836087184145,1.1019692976837678,0.9509158205102856,0.9902447486939459,1.0526813443894136,1.0366543917242985,1.040849688987822,1.1307507248506332,1.295730766297168,1.4212550333364444,1.2431536022646943,1.6000823364777612,1.3944741991612297,1.4163971803264082,1.6872505183181252,2.3321405893649043,2.145500982281097,1.6881952751538225,1.6835582415271613,1.6688446130613315,1.5703188369799763,1.8388133992373659,1.9698852497102248,1.7220654247062264,1.7157854799589758,2.241276564408162,2.091943820523327,1.8588084208702043,2.17361970705484,2.507867795311281,2.206543240759819,2.0355994188990167,1.6523933765046532,1.4689956083749744,1.5142207418099898,1.4192872388840605,1.3812267857769716,1.313522957771021,1.336388948260176,1.2276695259917227,1.1675031215451053,1.1430895527235492,1.1195669356468794,0.9896677941404654,0.9764818985153202,1.0579274929120872,1.0020303945534,0.9744908809746143,0.9813110533286146,1.223414449824431,0.9339868532702238,0.9496659193603478,1.0239929985793235,1.097251194949716,1.1225143980066967,1.3030493846125248,1.3704913896007946,1.1984676731071888,1.3918050093414343,1.618067501533797,1.5495508624523233,1.5337381804316883,1.9484302005624636,2.1063300086826473,1.7744612382157678,1.9738258198345422,2.313542181123159,2.3471739991727443,2.1247485916488986,1.7688061811740619,2.4866638758762445,2.1773232655000445,1.9299293584437698,1.590099655611418,1.3139580235658703,1.1590042835675227,1.4353330929398118,1.3261860330252224,1.5804749150692832,1.2750017858426097,1.308678431557604,0.9738081652935182,1.2111465612128183,0.7847587731906663,0.8735810502855489,0.7660458475472809,0.7272872376898072,0.9588436235553812,0.7045156736373613,0.7223361173762525,0.8066741136442181,1.0070935200871147,0.8334148483641847,0.920388519427879,0.9922678804812014,1.3547001890734747,1.7457213335248007,2.125339050841468],[1.3071682168958474,0.8876416040934874,1.0648178646989528,0.3707675407949523,0.5531976816214225,0.5353525176039857,0.5453340850490496,0.5919758209994092,0.5897734580214877,0.662644011547798,0.7366454173163107,0.748710671059698,0.8598629664942226,0.918406775595146,1.2466049438911266,1.1392509273017584,1.2057535444790775,1.4466973425813685,1.7512775278846942,1.6007039484721848,1.8589396618441043,1.8282370812830453,2.095933997809161,2.1431855417703036,1.9176198631148036,1.8271846146077484,1.4845610134781047,1.4313596691607737,1.322304415976665,1.10913548958262,1.3367970697265377,1.0918746074895662,1.1609205331822388,1.32071710896471,1.2596957716697805,1.3395180621236935,1.1745632138796027,1.2958300134171328,1.2889809947081914,1.2271055320364002,1.4042998542648248,1.662864940449156,1.656027932245825,1.8317841331382625,2.152766947799375,2.5003146364455078,3.0471701072933217,2.2175512003556674,2.6366902469258435,3.0529638824493763,2.2626996151454115,2.286548907154096,1.7777160912123948,1.5888846325636579,1.6952947727949204,1.6882078109674266,1.779190696296479,1.6406567314288054,1.702510742207016,2.2129675051925055,1.88690111957239,1.8360935138449972,1.7217497811908504,2.020421715363056,1.8687390284996248,1.719007019869965,1.9244788821494219,1.7116964969291952,1.7917420162462345,1.7393807466951796,1.8415409277412331,2.108201386165891,1.8575979938963474,1.971534007944272,1.7201705479750358,2.0034993605627265,1.6981855931949568,1.6363434776861072,1.5542245935057015,1.5997008385333924,1.3216629676113683,1.30259438673688,1.0621432283085375,1.0620670348053345,1.0715896450820392,1.1100564771040438,1.3369713979107867,1.2285427603201562,1.4423619228395947,1.4545400845491643,1.482105390979712,1.6594463631182474,1.5698426272047936,1.3836238230010474,1.2836044117935437,1.3557508213464833,1.3461563891430852,1.0787744794908896,0.9091968670735125,0.7541383093664832,0.8669132370568957,0.6883008168599876,0.7891513333893364,0.7009000645187866,0.7414357732106107,0.7442993043325519,0.8998665528539387,1.0743087868497714,0.9593585770953968,0.7670259141244448,0.7043936043321072,0.653594320876924,0.5995862150562621,0.6471708705072601,0.8049511014410594,0.9447504727501798,1.265079932474618,1.8161007384962313,1.9772727089084143,1.5650947739216152,1.4954188724254136,1.2480308736189332,1.1567488062636528,0.7274472972938962,0.5538062473576995,0.5857697445382983,0.7422713891751241,0.6499299975418569,0.7798373626598993,0.9203622197754167,1.0886468447432034,1.2130527935845712,1.2742378298883428,1.0947652487270072,1.0555501538662029,1.008835950016139,0.9382716948911671,0.860293052006898,0.6840377168543962,1.1266337182582058,1.8957232359373917,1.3339394837224796,1.4786285650380189,1.2928195069749278,1.2838826907872534,1.1218074076810387,0.9764153457171378,0.8387288289085165,0.6876705956796922,0.6242152002763113,0.6329872167368389,0.611755497466496,0.7151380550206945,0.920173505571395,0.9473493559174961,0.6726967962745227,0.7052135619478076,0.6161722976327966,0.7665024447013261,0.6779653171797448,0.7133941256042798,0.9328867676369936,0.9490045469479211,1.0289879281534158,1.137903650685081,0.9933425702352692,1.0560905930571485,1.2840854820982042,1.2875367945086664,1.027232594089723,0.9894198761217992,0.8707250242340098,0.8913874363140396,0.8287566231196566,0.8352133368048968,0.7652147000555024,0.8340484148572079,0.8137297013501897,0.9342815956753321,0.8594693689373709,0.9322978115804249,0.7853666856329652,0.9365087504684566,1.0774577646767294,1.0232366674315678,1.0735317711334622,1.1684816108932115,1.3753914466501165,1.7108979982533403,1.6246388444984008,2.3761936417969767,1.9575665073047845,1.955677627672676,1.766579677480595,1.7004913059209097,1.8917175450040589,1.6108238384492104,1.5562949245731006,1.4561618119122561,1.2944809666256794,1.2994107965882697,1.1077501145713466,1.0701008548632187,1.1595535236953713,1.1345107990159597,0.9961777834097576,1.0599534889809037,1.1614083594117706,1.015637904943366,1.0428466935645648,1.1198716011303735,1.1123381066642697,1.0931868085755019,1.1890983851774892,1.3777327986615395,1.5012064642709333,1.3339951427045187,1.6620751270291845,1.4602351180842308,1.4935907307394503,1.7583283398023057,2.3945182972048173,2.212043834912004,1.7374974488342134,1.723588013558669,1.7086404321103283,1.6035637101500746,1.8663835605720438,2.0064724601907407,1.7516439417739968,1.7306498128104222,2.2539884647856536,2.114375597892351,1.8740253174957946,2.162377416792949,2.508746433501603,2.2141054685384107,2.0300784227354387,1.6682849492022436,1.475945227998343,1.5126012336769419,1.4300039377572082,1.384738577154722,1.325699379323725,1.3167965303493403,1.2353449878345395,1.1926058313238088,1.1378434493562386,1.1245805160884168,1.0221637955494096,0.9985849506663746,1.0564786598200582,1.0290958575332336,1.022923806334986,1.0133899470797902,1.2551375402066476,1.0034167379665058,1.0347575856251243,1.1105813159185633,1.17558852095367,1.184798727871611,1.3625542334951484,1.4505153531346817,1.266304666812222,1.446156348696113,1.6763764301668382,1.6079041061973665,1.5760875165378025,1.9920495890307475,2.1560680208420258,1.8152727495761856,2.005424706281022,2.3472019431031557,2.3834601101649464,2.1600920360927516,1.801730965715583,2.5138087411078125,2.191897070403051,1.9724459373817698,1.63032638794047,1.3652852118481562,1.223730264962074,1.4824433022929313,1.361139463625758,1.6006680324482288,1.276870123763427,1.3324185946685143,1.0062801393079461,1.2344411128733914,0.7845310811769167,0.8829011933431724,0.7992349866205776,0.7579035746243102,0.995187020045721,0.7493312346670802,0.7289455167847029,0.8314473521378768,1.0244594469228625,0.8335051406636578,0.9519558348414555,0.9220309779790072,1.3804528297280945,1.6918521798865076,2.0386244962790587],[1.3428563548234265,0.8860485948069429,1.049777958166337,0.3591157443700693,0.5557295125375742,0.5173922175459368,0.5026573330544684,0.5328184905273673,0.5379402818885581,0.6145087612513245,0.6999216238238885,0.7003668752270212,0.8152886751536621,0.891546275796075,1.231361662686506,1.1113168921865155,1.1761367955000013,1.437164756176597,1.7479981474477513,1.5923627666564877,1.8679102084108385,1.8357490787297688,2.1054626844945523,2.1432113792292817,1.9104472854067627,1.8195995547536532,1.4648853949162188,1.4033373316251643,1.2984352589424906,1.0747588468141756,1.3260745877938833,1.0538620228564632,1.1405301630529314,1.306392156349631,1.236593767172661,1.3232824339606541,1.1374529282257015,1.2671645239169662,1.2569870839437542,1.1974826378515284,1.3763364798877935,1.6523600925303223,1.6529117769188142,1.8343120983656915,2.138068104406407,2.4744826246026954,3.0026935966522217,2.2028210494805154,2.640571799599579,3.0350933083348446,2.2514286536589236,2.2887578211919712,1.7683275335954987,1.5754581641090415,1.6532581000082511,1.689621358588946,1.7855284607557858,1.62883359196818,1.7064023155948362,2.2429125248500195,1.9049935967998017,1.8652457884722,1.7435584385521832,2.057294308319062,1.896408658612307,1.728971520631811,1.9519702261996779,1.7240272175153941,1.8086750590845173,1.7580988271401312,1.8569926165840762,2.1435231120209894,1.8925697977404494,2.014024342223727,1.7405408237817364,2.053522489276419,1.7118523054232693,1.646516267189741,1.556482092501749,1.5951771228395693,1.2975814132696686,1.270084228696678,1.025575975239485,1.0205551725111965,1.033476551284384,1.0715567586685055,1.313061016913412,1.2024394576605106,1.4318123224047792,1.4464035564381175,1.4840305062412593,1.6807510429667694,1.5807855848746348,1.3800125521544722,1.270210174590701,1.3502225258541491,1.3238980130955968,1.049507513599074,0.8620066036028188,0.7044150745789648,0.8079452680289722,0.6349944752987265,0.7268951583791505,0.6428134191579863,0.6864324651028713,0.7056301225753526,0.860909439097952,1.0494067871098565,0.94790423610031,0.7459615687296308,0.6816850301365402,0.6023594970813562,0.5348868279180913,0.5781031183966345,0.7452285424672989,0.889298731074987,1.2257879615990979,1.7713790861054666,1.9793819909954964,1.5469311595136912,1.480723845261015,1.2211824935176943,1.1254182386345404,0.6827608825336091,0.48991791217327213,0.5231591076529054,0.7108465925500018,0.6177366714309875,0.7565694400165344,0.8858331285983656,1.0750765164931986,1.1944293980553196,1.250159042464878,1.0578199907324135,1.02432819527303,0.9860062581927792,0.9307320395177671,0.8385412702096322,0.6276526995106065,1.1082273690796218,1.7210952719749135,1.260451005049294,1.4342101665532578,1.2279933432209442,1.2393336412828364,1.0773734018669223,0.9245998014191111,0.7829261547354538,0.6200096145135388,0.5614956731386075,0.5797647147328447,0.5505538760526155,0.6707322466711408,0.9036958550193526,0.9347640688404376,0.615948941185053,0.6388797088390399,0.5497504802745862,0.698385514250513,0.6132073908281456,0.6542289263780807,0.8884771131558201,0.9055422604639413,0.9904289413890788,1.10478927163539,0.9612430634288409,1.032447194279449,1.2720650699789309,1.2704949598591067,1.0087427266851507,0.9624307028848558,0.8385676245832085,0.8540798590290648,0.7829754604533835,0.784189262933967,0.713513617941593,0.7895743642148888,0.7596242072873707,0.8859669679164478,0.805115600391849,0.8853340944736217,0.7361804768262311,0.8993086186861803,1.0436300171360926,0.9935917511966759,1.0452632375257547,1.1369256197232676,1.364342807853238,1.7111451472740646,1.6074941263796685,2.361656622821204,1.938246142675773,1.9456699739158612,1.7586953518324113,1.6933586168336516,1.8935795403949274,1.60731785851171,1.558072072744062,1.4712860914101458,1.3159700227702298,1.3168231154620202,1.123943019072265,1.0884694807104385,1.1916056942630335,1.1713027792419595,1.0312348243865113,1.1068208356279552,1.2100022475993957,1.0669400345635371,1.0941737494242674,1.1831465656584852,1.1870996613577323,1.1618952485065763,1.2485002346245537,1.4619033048469385,1.584026861710673,1.4276721757072615,1.7468498748883656,1.5308403495917569,1.5748362758412076,1.8422923004535596,2.4751236434234802,2.275894749035293,1.8018211215925513,1.7787644622387002,1.7585352918850938,1.635384727031594,1.911817287291117,2.0691115474928092,1.7893740424993507,1.7642787067069299,2.2984215788574884,2.17236233982359,1.9130524064674095,2.189720985198227,2.5755178590299836,2.2690053502448877,2.0541980743923816,1.6903034043774798,1.4809463094941342,1.520675067076662,1.4310225125551694,1.390921430137424,1.325785205276224,1.308650241100056,1.2405172085856453,1.196912335452731,1.1374929786106192,1.1365587375844302,1.0460283652186513,1.025261694464733,1.0795897198388946,1.0645564976383344,1.0648164994966267,1.060826694844359,1.2984305365392488,1.070616112661481,1.0979488969221902,1.1703068563031969,1.2314044355882738,1.2270313078448445,1.4004813341809506,1.5128783051933234,1.3181668553529384,1.4906078310490425,1.7389125285111109,1.6700715213957564,1.6216747995196383,2.0561627863262766,2.237988648048018,1.8775892709689328,2.059518150928947,2.4165906521455076,2.471800107008688,2.2387761702436535,1.86932076891559,2.596339746097476,2.2441717575813356,2.0570666324247338,1.69451107225383,1.4231385367986684,1.2880041524498183,1.528006950699356,1.3961542193984084,1.639134185230638,1.2930759145628723,1.3654646255581762,1.0387537886902054,1.2658006618705422,0.8003935870390345,0.9154740463811114,0.8239720504637587,0.7861999901552477,1.0750326569373696,0.7957962686810566,0.764911294641942,0.8889471140183681,1.0430250376818677,0.827368819958608,0.9449966375060467,0.9078238303169335,1.4182142035437006,1.6010878818730492,1.9340282887984468],[1.3437180450269997,0.8964986700872625,1.0675632870323621,0.3895751135326725,0.5853855731856108,0.5208791358622485,0.4760938519363428,0.4914900004138606,0.5117932947250584,0.5803014139083131,0.6574254991631862,0.6469528347849773,0.7540894352993519,0.8616809207658509,1.1860647817389673,1.0573925136473301,1.1196066393587787,1.3676365936147505,1.6720737564952415,1.5022698448241656,1.7595093350751692,1.718117681782636,1.979308001641305,2.0081209643102573,1.7923079470092764,1.7201153983844755,1.3830442228899889,1.3247588543060724,1.2247514759767943,1.0031802526261924,1.2569908080474141,0.9739758331050676,1.067297677977671,1.2191946249711327,1.1449903672358426,1.235593610370064,1.0409379419675346,1.165892840380833,1.153011793472816,1.0731573455523644,1.2677034268895133,1.5328556643561755,1.5154246116286645,1.7178527426722243,2.014454279939368,2.3809643487510863,2.8850438769501814,2.077762463375399,2.6269217107241762,2.988324945578059,2.0980243674277106,2.2062825556956764,1.6203367523112444,1.4599108484830394,1.5143789108641157,1.5305304839907106,1.6498233809260088,1.4958337161200763,1.5670834568731582,2.103155695522239,1.7836735214934127,1.742413401104429,1.6319604170135098,1.917226875890405,1.779468949383427,1.6230235262743438,1.8484130169483914,1.6373146887840944,1.7366281415196172,1.7082832461450193,1.800831489870562,2.072993046732528,1.8400474015241035,1.95017044792267,1.666021824208939,1.9773286799926282,1.613581404366554,1.542836553922533,1.446350200268965,1.4695508570641989,1.1701971512559086,1.141159556290127,0.9247533219033427,0.8776705947791434,0.9052202937539395,0.9570862691999784,1.1976095781087,1.0983613114062274,1.3329766017310507,1.3482986616836896,1.3958494477182928,1.598607685729502,1.5023305349462928,1.3048727110665692,1.2065311579001279,1.2964364623827378,1.2735838412343587,0.9962699994301156,0.8088007337050592,0.6561160151955837,0.7232162613313182,0.5795157509865356,0.6255038107756621,0.5730891149441042,0.6014824119457666,0.6416271104682284,0.791666346641368,0.9880773053096908,0.91624619805543,0.7261433598255164,0.6680998328060421,0.5545858177048849,0.4724909879964496,0.5125835628528579,0.6857146330823815,0.8474772235091035,1.174032399318008,1.779945994834356,1.9207821582067839,1.478417823684001,1.4433135805177846,1.1947176086992222,1.1256323338210257,0.6627438162913596,0.45561317893408954,0.4748562882803325,0.699354275992102,0.5822360797436761,0.7156073401137635,0.8220804477959477,1.0326391539913982,1.1379303372739655,1.1795066494448851,0.9716363930851105,0.9549205180223893,0.9480808646839637,0.9161868412167841,0.7790876304482496,0.578852907578419,1.0627066939834469,1.5224219796391958,1.2029430021389418,1.3854565962718681,1.1603233231896164,1.1547768253124835,0.9967170680190082,0.8540850350777753,0.7080918375379706,0.5399597988236239,0.5032935955923283,0.5338228572367465,0.5102438069200889,0.6570785131118418,0.8905403961164755,0.9201921306903584,0.5598898343955324,0.5713658747492198,0.4791883031749598,0.6143267960326133,0.5411421516333765,0.5538866753003149,0.7996601243674665,0.8199469926114179,0.8897898433715652,1.0067463757461428,0.8873498468317013,0.9446985477613074,1.210848444874356,1.2114402858032234,0.9532746208491638,0.8781509110128475,0.7568749968625769,0.7582486587919003,0.6721047505554724,0.6675405757683419,0.605701553069125,0.6987088040039985,0.6570968031496877,0.7712023920266534,0.6773821310829036,0.7596620742689911,0.6448057297749186,0.8072532905843254,0.9424371973495925,0.9000224368796799,0.9366488213728301,1.0248949388707462,1.296777563524451,1.6867845363376244,1.5399557194939262,2.2748240527365216,1.8755881181459666,1.8821946924014727,1.7003791848843601,1.6245508034416638,1.8429104684644328,1.5690119295792737,1.5083497023213013,1.4505872075393418,1.3349110676366511,1.2956507221982718,1.13231371680219,1.1106179710810713,1.1996979036399589,1.1743156532984849,1.072905268707874,1.1531290072119187,1.2228023929642233,1.1039332582103165,1.1561309284090724,1.2275352383996578,1.2353988304619288,1.2441401397796594,1.3077671486200368,1.5110468219724391,1.612975520821921,1.4520162041959768,1.7347835218780663,1.5193142523368948,1.5535250266074698,1.8137055743003934,2.40436698417137,2.193233744591122,1.7236421902273729,1.6975465221263695,1.671902853760674,1.5731077059570049,1.8099594743509417,1.9706110096033116,1.7138263987698015,1.692196144231303,2.1981858310491096,2.0986892841031928,1.8513467404821828,2.095194801328422,2.4777416856854013,2.2009028389416843,2.0047019540998474,1.6521022169908326,1.431817256402577,1.454044111011797,1.3801985178964304,1.3624869624219471,1.2892621377429652,1.28250538188807,1.2262759793368172,1.1654918839835975,1.1402899934015316,1.1625537143457052,1.065050973525864,1.058692440791028,1.129105359026582,1.11309663039607,1.0935424411384334,1.1140823199812204,1.3499766673962095,1.1215125448410008,1.130980647101041,1.1797623898608933,1.2241439529959988,1.2211091472084727,1.3468026648311846,1.4707828251019766,1.3049038439013396,1.4471987337622345,1.6811996563844378,1.6261210694917942,1.586225614445726,1.9851121084244425,2.1790597764996877,1.8465374612359633,2.015047699718117,2.34215920621459,2.417438278191586,2.211257993618812,1.8642682350302906,2.592383978625057,2.2382938983101206,2.0342406958133092,1.6970115998706143,1.4362213318095116,1.33019877082911,1.5347857107531966,1.407322442586838,1.6533170503510093,1.2970795030097895,1.3663856530982534,1.076430460693088,1.2725209262848587,0.8115910521938893,0.9652352052095506,0.8570978163372089,0.8222003129219907,1.1951830574070357,0.8698786969953394,0.832962604791729,0.9751406871199052,1.0539968382278746,0.8232045716737566,0.9482384518655174,0.8971193981633659,1.447752197095401,1.505734346904827,1.8631972068443985],[1.568321926334096,1.0224234621211579,1.099114005510123,0.429666856337436,0.5746027018201353,0.5182283986072015,0.48386436078507455,0.5023604204433096,0.5527931915048908,0.6183437323494114,0.6887258583999386,0.6743343937947611,0.7729538885499738,0.8859466389800298,1.1916098975371627,1.0611092880249422,1.1252557477536764,1.3674051276309587,1.6713958491929355,1.4982145335672594,1.7643715803307058,1.7283559627755025,1.999415383647137,2.0374949572550936,1.8093525955153376,1.7259265397952548,1.3793106931601438,1.323775189180011,1.2183705012519415,0.9958218406140698,1.25373911079703,0.9665154134180814,1.0596245988975053,1.2070102844264838,1.133667700088707,1.2240282377096472,1.0269160709079634,1.158179507033674,1.1488197493781687,1.07681855387192,1.277774645216174,1.5363909659943484,1.5219512071426822,1.7265534298550373,2.055848087523478,2.418330258789151,2.9672426034249084,2.11849604457724,2.6017781407621925,3.021967502617161,2.1630714781328217,2.2084748264908396,1.6450792996375683,1.4687456757909005,1.5399165465809515,1.5500037743290966,1.6579012171604242,1.4986502051345965,1.5671025178675508,2.1039545413768956,1.787461627779117,1.7495152798672988,1.6317171134636055,1.941268569244468,1.7868771199284097,1.6241052677150496,1.8541766326411635,1.63592091031216,1.7428267094230376,1.709956954105585,1.808513061365888,2.093049849386216,1.8489049958873873,1.956474425112872,1.6683507689837065,1.9796866149162498,1.6063135433827296,1.5345316497088404,1.4351228229005206,1.461221744093035,1.160312568084208,1.1349375456666517,0.9134543759732932,0.8775032781654747,0.8990301794094991,0.9503159532356771,1.1910384037936377,1.0844643891892065,1.3218047698022255,1.335141600047497,1.3904030623175048,1.6009450665774945,1.5027157123545116,1.3009891121047445,1.2081623155072188,1.2994389229125893,1.283908641159255,1.0013178305751562,0.8198706299001202,0.6569941356633511,0.720234967451101,0.5821319747433635,0.6121515111143345,0.573236398542948,0.6025263335446154,0.6442799352869598,0.8171373445748444,1.0085240423248338,0.9139741522763749,0.7210254246677535,0.6629732630330443,0.5487376962760575,0.4700592583363333,0.5102387780751143,0.7058932808540014,0.8735330072814798,1.1851265657899015,1.7864270861505887,1.920579029042246,1.4806341424999183,1.4560912576111833,1.213306487955815,1.1574441676735372,0.6981403429270225,0.4869254794759026,0.47897169361547165,0.7168772357155299,0.5675540747221459,0.7115169070523324,0.8230731347469664,1.0117971572547704,1.144980412792914,1.1789133589434748,0.9819215470001497,0.9375705181080081,0.9399894772303012,0.875783561423099,0.7941673005816458,0.5671903844845969,1.0706874315861712,1.6091330434400024,1.2237117340421668,1.3920966648357165,1.1843250072938025,1.1637912410169386,0.9994289293398417,0.8612604718627339,0.712046617089367,0.5390212834320048,0.5062657728605928,0.5463695307279818,0.5343384766416656,0.6665818943101999,0.925805716044702,0.9199837416842109,0.5566496771800796,0.5763892506016739,0.4795957108699464,0.6122103347242889,0.5452036144612465,0.5494331032519945,0.7873949485884574,0.8259658630260546,0.888560437347253,1.0200328647210255,0.9086473345629942,0.9724159067958809,1.2348275055996476,1.2216230687202059,0.9454206068276872,0.8861178268861846,0.7562172373229804,0.7663992647916049,0.6701847287873727,0.661993632202594,0.5901561530833243,0.6779583125655959,0.6348484769146846,0.7537447586339142,0.6747847541691984,0.7603717285654396,0.6388923975286748,0.8068063094751043,0.9576722624802135,0.9074098175739789,0.9555191911478375,1.04090892294774,1.3033080557837085,1.6727507634072487,1.5549319108334727,2.3027008459646234,1.847367077278387,1.894597510635078,1.7016451139610096,1.63936897696066,1.873492884378904,1.5488404391706956,1.5112374736272771,1.4429944325295458,1.3010036565554346,1.3273743476206543,1.1399315390665674,1.1032722707597091,1.2254536340505429,1.2246310841573214,1.088412575596619,1.1795402105626485,1.2965088573294823,1.1745213089596458,1.2067720808946225,1.3165515965787276,1.3481966722318173,1.3183997766090008,1.3975867522048917,1.6474777464087635,1.7458840968808262,1.6154372728807675,1.8687826216569607,1.6442957668383276,1.7142625565297398,1.9559403094071535,2.617498668248712,2.388184877962195,1.9199450659576227,1.873421360729343,1.8363594728951036,1.6817741558547417,1.964437246189601,2.13858166469016,1.8061314766704768,1.8044699036134855,2.337963473884875,2.215288556233754,1.937332387156216,2.1705064741041,2.5872363355982597,2.2768732953224564,2.0175857592393927,1.691349905185759,1.4653454998564441,1.5076477664353884,1.4290426914744492,1.3995397825447933,1.3391579163414553,1.265272261941696,1.2397044772127492,1.2188832867072892,1.1273386553748923,1.1431614528231124,1.0906274055285021,1.0794824547846327,1.116208770954243,1.1397607953152453,1.1747790850741948,1.1675631126662045,1.3851904974891405,1.2266687610014948,1.2611536250317228,1.3123942727168232,1.34708693362568,1.3086894223061205,1.4856473002214279,1.6380673851865537,1.4165361417327764,1.5571835168755934,1.830093933812438,1.7718175212378093,1.675932460100523,2.129326119979865,2.351688166240303,1.9496367613441379,2.090338097584415,2.4892450853929686,2.563961471113138,2.3080317489504067,1.9225899871670844,2.6644309440503378,2.2690437883619494,2.1555478006932494,1.7802550031980438,1.5128697533965774,1.4124286348425534,1.6198286817586496,1.4400318141771575,1.652603706479873,1.3004294180211393,1.390977993699274,1.0629916387988485,1.2726153962020548,0.7914193120609176,0.9474959145327706,0.8866887937416302,0.8686664367595835,1.2205831785174173,0.9407812305910392,0.9247271132891737,1.0334906687174616,1.0387754281085513,0.834781914347081,1.0307051035610602,0.8093670221518336,1.4853411741479214,1.4268984254112762,1.8150450009624401],[1.5524369767034916,0.9897769202782112,1.098312901707625,0.34176044135536365,0.5692370656752574,0.5426397889449738,0.5041244688573386,0.5272500493380784,0.5243089126918392,0.5657481889271679,0.6271544872852206,0.6387631904330728,0.738633871041719,0.8226384034168814,1.135865821906172,1.011616571260288,1.0933370668545117,1.3394954817510538,1.661110310908655,1.508289593958113,1.7915676885941856,1.7621566601644427,2.0536003994720304,2.1184169096724514,1.8701678830827886,1.7635854693490576,1.4002812255873955,1.338265334033153,1.2111944561054646,0.9800069907619182,1.2078479553247417,0.9406105641203136,1.01091372555853,1.1702451828072753,1.1167320545742054,1.2092491491965442,1.03443219866485,1.1802391870877011,1.1861206945860256,1.1432061316243343,1.3345308067368573,1.576994810704745,1.5747326108842556,1.781224743194193,2.1491554372479285,2.513968499540148,3.106854136743795,2.216814540768323,2.6116721803123513,3.097824541323694,2.2674354971567876,2.264428140269252,1.726380098427309,1.5189689011055367,1.6211877957804546,1.6239933891031109,1.714554365970718,1.5552212765893116,1.6200674575796192,2.152755569890811,1.8190165353811616,1.7699079697418698,1.6257541216447373,1.967686861885525,1.8054531910312652,1.633507238258229,1.8544448367039001,1.6190112384107767,1.7084516189051817,1.6665257838685188,1.761643561393449,2.0369542110141476,1.7863972153841887,1.9086938420772122,1.6331080714727644,1.9390988358781671,1.5974706031831505,1.5192763837944563,1.4365387392259266,1.4824648346851712,1.1906575298506075,1.1838629195320816,0.9639228690222214,0.9761459648822238,0.9778335140969889,1.0088402862011572,1.2234019313990308,1.0969461435469021,1.3220798256465318,1.3251445513870843,1.3560207377270115,1.5465047100431497,1.4434116228501728,1.241179475464548,1.1426370377867,1.220307281462181,1.212385712975374,0.9289388031894981,0.7551659978519399,0.6196819231295555,0.7180364316128894,0.616107511991757,0.6647094353601708,0.646804063856392,0.7076617607312204,0.7408267930971665,0.9547714775952508,1.1437236779051574,1.0276903072795414,0.8094601782012929,0.7309434958879804,0.6115722200915346,0.5254796151756129,0.5449385550138167,0.6982102530328377,0.8604602233511417,1.1828966227805657,1.7882266408588225,1.911502492298944,1.4671375667084139,1.4199831552349302,1.1709128263289494,1.114067875532719,0.6616430902394913,0.4736554153120543,0.5035088277948581,0.7705922025618551,0.632960523341808,0.7959535403806445,0.931547868137434,1.1406159946714585,1.2881273932738722,1.3164011534396156,1.1309501001799838,1.059090249866675,1.0082551634682386,0.951898551613542,0.8575076882211238,0.6004357465044757,1.080143138356197,1.8204129607771908,1.2965182462985365,1.419276130720534,1.2305520894510078,1.2053734339527253,1.0190354499187741,0.8792648386211181,0.7237965878951041,0.5804098781578808,0.5382561151649314,0.5919661774946606,0.526281687570586,0.7017889361712198,0.8773795434012597,0.8610346240432599,0.5670757287018149,0.5681347048136047,0.5331067667691667,0.6386702310904177,0.6088266099906737,0.630273982160552,0.8259890126853074,0.8762013315716407,0.9478182544690854,1.0862723400185523,0.9808734487181169,1.0432273790733815,1.2905938351534827,1.2710378734383054,0.985391105234217,0.9581530094757109,0.8214753682395859,0.8448309491805173,0.7587723474714407,0.7459805092749316,0.6807307073904925,0.7250709906650022,0.7209983839425778,0.8458536968500744,0.7854293596332115,0.8529416892347454,0.7469825455983283,0.9179187712752631,1.0590756285405496,0.9996771329526151,1.0435670148402352,1.1208504805292692,1.3622984750648819,1.680064583191175,1.5957489284253774,2.364242225223153,1.8906683656111138,1.970344645659127,1.7907541961902393,1.757227453298572,1.995015298102904,1.6725104069371228,1.6541167438700588,1.567159118860174,1.379803557912701,1.44998170153155,1.2328569004703225,1.166173759679459,1.3026632465077115,1.3100239685800095,1.103336417654809,1.1785541280686478,1.3305917390960333,1.1856284490619222,1.147203309079472,1.2732916106943244,1.301767839565825,1.2090504078326147,1.2919324840183892,1.5719621688953984,1.7045240753879167,1.5861955744380174,1.8832362860678613,1.6799064401990338,1.7551660436884078,2.0358426912207266,2.6998733825148293,2.5081892801809413,2.0312196281887345,2.017338852424302,2.00297855158522,1.8498772769400467,2.149646630568509,2.308003113049579,1.977650285774907,1.96775174542445,2.5080058916243075,2.3659310527734716,2.0874309803715736,2.354030577626063,2.743636985061027,2.4218949175254982,2.1630508707311544,1.8248717423013168,1.6233751995807195,1.680336391357862,1.589379367689046,1.5448937280524866,1.4922338516001257,1.396906926403923,1.3651545063345465,1.354897355295443,1.2285446193516514,1.1957268691785243,1.1555513501405126,1.1111801808178532,1.0852127950486694,1.112625346269667,1.177169393916409,1.1256531678954473,1.3364842211747903,1.192211238616815,1.2670525238687458,1.3522276670763593,1.4313383180790993,1.4118603473494353,1.6171901499568608,1.736044881494034,1.4904405982058737,1.6854896370618997,1.9459101427954262,1.854549068693562,1.7844082692738883,2.2586267613193423,2.4338527733618474,2.0271697516633327,2.2102043480992877,2.60372032172287,2.6388227146913574,2.3737650866909963,1.9675502392327422,2.692603941907367,2.2860719372230824,2.169997070424026,1.7701199777235443,1.5169159565777801,1.3606986078288925,1.5986690816066547,1.4566580132108622,1.6749344903136085,1.3501725932863895,1.455889188699199,1.0881276733893084,1.3524466644634792,0.841855143059637,0.9298256155642285,0.9050552194670833,0.88920713220822,1.0879035079041037,0.8664887263502801,0.8182212979131963,0.9151585367024349,1.023982908609615,0.8314910659072658,1.0252906728544073,0.8517823336670567,1.459759998081698,1.545136980665035,1.8891246091563303],[1.4483645792020918,0.9416433666168883,1.072587680412206,0.31924334656807907,0.5272776354197045,0.5186992137692702,0.47505139080110187,0.4948142109429951,0.49476435284631826,0.5236619980538583,0.5736213148229694,0.587628329202076,0.6634379313148608,0.750961728532842,1.0210771106762544,0.9024141885408109,0.9864837003548402,1.1950064219854295,1.4994108444995151,1.334843848489292,1.5727970578532346,1.5397877284741164,1.81615119121538,1.8855852736581287,1.6712354084475218,1.5782835551051089,1.2589572967348412,1.2184815571109548,1.086233354807354,0.8656216761116452,1.0603871077962883,0.8172812536751821,0.8797155746700843,1.0020146272642345,0.964300245341675,1.0524247214423974,0.9018619917789668,1.0344708628573833,1.0434811359850378,0.9829449907223211,1.1840381017939694,1.3783841293352543,1.349763087270387,1.5755916650650534,1.9738462631661584,2.427354529336128,2.999204164862991,2.0404481463845516,2.5825710843584027,3.0569144265131007,2.0540951802582446,2.145445195756498,1.500303250522441,1.3364345944102385,1.4411647526832332,1.386129747808391,1.5009385266703885,1.3578564391325822,1.3964875574316213,1.9252558634575583,1.5919593143519732,1.5277851401083238,1.3987826745534284,1.6978433966699908,1.5593651551737613,1.414963660528821,1.618218921332745,1.4151628939086853,1.5134970005135164,1.4889027313085654,1.5773797353313759,1.827436116616984,1.58278323892573,1.6948049078251084,1.4339216592809276,1.7080524026095143,1.3801174353261976,1.301016640011698,1.2273135032555813,1.2716362432493575,1.0086037186874166,1.0188830239867213,0.8330242519546203,0.7892771813669738,0.8152662408351646,0.8571729172110876,1.0575241049918112,0.9484447665556438,1.1422325783191647,1.1460108816755066,1.1633149926470756,1.344831190319813,1.2621921815230863,1.0756689613723134,1.0022189405869164,1.0809888949712882,1.1032402922876807,0.8238072989706009,0.6768260506834703,0.5595928606443329,0.6227068375678413,0.5724204793866546,0.5696842501617958,0.589203540823083,0.6211267621605784,0.6671586501020151,0.8682141364280517,1.0529877869470547,0.9530151809506846,0.7506449294741423,0.6852280558887325,0.5545535478617762,0.47666666481062414,0.48610820180874614,0.6353864187807321,0.8217453119998573,1.114295905283045,1.8149208761652027,1.7732807824815973,1.3351998599580182,1.31732604030783,1.0999142169664757,1.0920751399600672,0.6295369466578442,0.43553377096238916,0.4509669923011923,0.741527867728469,0.5792992506559326,0.7381283799281708,0.851438173127765,1.0499204345168167,1.1780984427274468,1.1976287086721327,1.0079165257371157,0.9556929151645511,0.9466319432799472,0.9018349149847212,0.7909442055868355,0.5221538139617045,1.028567476312776,1.7276615413657803,1.233105447862278,1.3583286846050169,1.1767042333545892,1.0975154514556011,0.913909436855271,0.7976937446758893,0.6380091246816938,0.502175702992168,0.48122125117961956,0.5608378155297491,0.5013578466708954,0.6753494052221167,0.8839397133509642,0.8382578256328223,0.517046567876282,0.51254254120165,0.482716588685518,0.5570402284455086,0.5323300827198872,0.530802922844133,0.7175376466081077,0.7842561456788888,0.8212302972685388,0.9821628233430648,0.9044615940921172,0.9397732164623399,1.2020681465535583,1.18158151055489,0.9198673077979136,0.8642991193239268,0.7265165489120532,0.734845265128409,0.6396880369964663,0.6217959760783139,0.5665566942157417,0.6101067779100576,0.6021583421664539,0.7067353682682707,0.6470078975230094,0.7208874563302398,0.6479643376150461,0.8028077066949761,0.9436175875355818,0.8905686633511533,0.9075443572699322,0.993601906445919,1.2364324325585314,1.5854561514369512,1.4683644335243156,2.1900089636038453,1.772824433373441,1.8363009468852107,1.6751494162279343,1.6225341140362894,1.8578627108031478,1.5681051642616373,1.5321315169306713,1.4684136454496575,1.3289575607455133,1.3320586253284243,1.1530879720259004,1.112020852920803,1.2110673661746574,1.200757847315762,1.049582005323164,1.115747096751181,1.2247714340388685,1.0955465386872634,1.0949759052458352,1.1855070671765575,1.196882513894657,1.1486431177079202,1.2216308468852286,1.4538667745632765,1.5768210677382308,1.4285808558081698,1.7144306848641298,1.5220937889123636,1.5689515008828812,1.8207431669948464,2.4324995210455853,2.2300775367980363,1.780958418066332,1.765413057099539,1.7431205498370612,1.6429772051529858,1.880559423115816,2.024140072086298,1.7660633791411688,1.7498151969643267,2.2372344107513125,2.1245032660069354,1.8864491970207509,2.1216098683590734,2.482927663672681,2.212399968012749,2.0093760413061386,1.6843479051029466,1.477996533422248,1.5079844205340807,1.437677151989534,1.4193734526809159,1.3576912194241861,1.3189560170112762,1.2731708047342318,1.2347435003990639,1.1576080606590229,1.1554570317470374,1.079264332771227,1.0487693104195053,1.0603830467911066,1.0691116677350003,1.090504987620436,1.0634846651243322,1.293738849622587,1.0937867051610732,1.135423427263073,1.2041936305130696,1.268198355047146,1.2666566923471791,1.4208350533673684,1.5311283432445542,1.3404802974589094,1.5019522987605225,1.7261068706888731,1.6656321872353923,1.616628034975453,2.0168134674892886,2.1941858426281864,1.8542911667071127,2.02229455380941,2.3383896130490402,2.3956151419504734,2.1880028685935593,1.8384914386010536,2.5410826441357273,2.1953616722935383,2.0030968077563407,1.6643508290363864,1.4160181883248948,1.285662700426364,1.518822160962709,1.3866689213184702,1.6100187860336947,1.2743843562256152,1.3645515075635248,1.0394271693050352,1.2876506549009952,0.7911799181602082,0.9055382679497551,0.8633305655137371,0.8314326797583922,1.0877847680589814,0.84578707866527,0.786474700171064,0.89221109981603,1.0055246415914367,0.8372125691591299,1.0259202724087082,0.8260300637006546,1.4768485786285974,1.5363070124774876,1.8861454139228977],[1.60515848473979,1.0219119459818187,1.153739687742494,0.3654511989303593,0.6076371861943471,0.5614076493610101,0.4740459137601419,0.4888606788932878,0.5023133929775602,0.5129989978988801,0.5583466160014827,0.5464843879038387,0.6280989500033335,0.7457291053770156,1.0031119003479527,0.8778837877265743,0.9680975704408497,1.1919303737451703,1.509001544183979,1.3441094289804774,1.600204767713893,1.564835410240906,1.8531012533430744,1.9206193076439764,1.6939037421909326,1.6009310402390995,1.267820276726214,1.2063052865061588,1.0673118773992278,0.8264173197643778,1.0517293887846855,0.7635215186763092,0.836694814019598,0.9785917883857294,0.9319400052840358,1.0310758485291631,0.843598541016948,1.0114114737991104,1.010254018687742,0.9458689923865704,1.1705179592601327,1.3829964276958062,1.3482409245550113,1.5796223748671872,1.966466621165585,2.4048056081973472,2.9612433887718406,2.026911376471753,2.5746079926602388,3.041837286523472,2.0273503873223557,2.1300230434587166,1.4757253615117027,1.3227276557703849,1.4054720450391645,1.3643074063442682,1.4873505562390632,1.3394431603374057,1.3834362961668967,1.9203813638004867,1.6099634698246061,1.5438093307133582,1.419929375925438,1.724979385552933,1.5929450496807451,1.4400780442069292,1.6585188641476454,1.4315836876312757,1.5423526834855878,1.5173398793500383,1.6136372834847772,1.8677434755264228,1.6252587275020778,1.7437679409443052,1.4542497136210009,1.7417187397307317,1.392878557248983,1.3039649336469077,1.218227496501418,1.2625896932267924,0.967195728293996,0.9592369911813103,0.7826053829430811,0.7247205311077706,0.7595446383522951,0.798494139061082,1.0312849757735316,0.9127968906247401,1.125337611993798,1.1239101687921473,1.1620642599861528,1.3656529420479104,1.2720663286084886,1.0687682737833357,0.988608505282499,1.0803259920182644,1.0754505219918198,0.8018557063244918,0.6548217501440915,0.5301481634030404,0.5617646841068484,0.5694600734813906,0.49637342658076183,0.5661439115797444,0.5865828096679861,0.6454972072852808,0.8821617447422262,1.070768751025789,0.9911595648606714,0.7843861683935672,0.7246981177972527,0.5367509550719026,0.44848781625926737,0.442078726228457,0.6149676287238877,0.8199311681570725,1.107673001967866,1.8205309197905544,1.7933587243613873,1.3351830035587056,1.3245778232320535,1.0936078589899214,1.106163919725339,0.630498655524342,0.4215356517082889,0.42153522943777655,0.7557774425646233,0.5830690610656903,0.753382255899754,0.8460642250355133,1.0490184440033405,1.189264128573824,1.1785471394613272,0.9832557552194234,0.9142029732548628,0.931518364307449,0.9160945510124413,0.7755088362596838,0.5401232296188462,1.0109708951570424,1.6080429216849377,1.24492030255849,1.3750793933376886,1.15909449622981,1.0899355534106165,0.8894640244210277,0.7702821031542216,0.5898860393608684,0.44847691025460384,0.4441253847843453,0.5651243183564828,0.4980386628202285,0.680123543592552,0.908025749719662,0.8351022276272928,0.4903448439696391,0.47613105288010266,0.4495381854908682,0.4951254432868588,0.4874584328199761,0.4729248619330942,0.6694179091151212,0.7469792600746304,0.7763963964508951,0.9462971026695571,0.8733791944386988,0.9076786528170333,1.1936600505386352,1.1518397599204537,0.8884184615756061,0.8169109866508999,0.6785078026433309,0.681473638281906,0.5779628971594971,0.5553589066500175,0.4960431725204623,0.5501137949191474,0.5421160370001289,0.6389820104547705,0.568724103060772,0.6526286665941882,0.5985284005364654,0.7531353660292786,0.8925899082494573,0.8392063166617889,0.8525968010255887,0.9580723166584844,1.2215456884498377,1.5782789405814859,1.4435509715686277,2.143044376120291,1.708741519721304,1.7904399654692553,1.6353040105543077,1.593854176856448,1.8578345855123184,1.561235446263223,1.5469087129625683,1.5140448938828484,1.3785073237963994,1.423077836924692,1.252143899232629,1.2058202809514846,1.335571794092356,1.3465176726160237,1.193547411878976,1.2771097712352115,1.3971877855691126,1.2817548060470647,1.2731113192335657,1.383160716805298,1.4168709462309708,1.3527962277441703,1.4106682791094958,1.6804238203673592,1.7983954289524802,1.6674191728363352,1.9191224898705372,1.716633507770303,1.782216973178775,2.0353413444511004,2.639070910486151,2.430422008045525,1.9607150968007288,1.9371502194609749,1.906881617770908,1.774452514322782,2.01384765469477,2.1839706151572225,1.8846253153017951,1.8607068386628112,2.3509628450845432,2.252560457840593,1.9871828973238443,2.1798753546785563,2.58895207789,2.304729663240023,2.0394890370000622,1.7568998229128678,1.527379933686804,1.5692027896276313,1.5230479754838664,1.496350139990708,1.4535449486202239,1.366611630991944,1.351851234010269,1.3386163268464204,1.2435143551731989,1.2508533737180154,1.217932697759067,1.1968253597229463,1.1923287340220914,1.223767542416898,1.269960246869694,1.2464099670341238,1.4535407109789609,1.302612474440372,1.3522946529214246,1.413380908557393,1.4596316928654076,1.432358002864245,1.5839994821736139,1.7275160485111944,1.518353313802717,1.6553638097814538,1.9008494001882117,1.8398177452058424,1.759114920356979,2.1755817643660533,2.3717862374292,2.0096296793670643,2.1487521583483296,2.5028721074926636,2.5768573716557808,2.351281830545708,1.989166855307698,2.7025226996876746,2.3133432371006677,2.1842872053723874,1.826278875244227,1.5867778305325164,1.4731458573338923,1.6709666882868142,1.5179937265700028,1.7252004316544545,1.3818867084708082,1.4845067185851932,1.1529586913393624,1.3664563530781557,0.858449463765177,1.017833546724681,0.9954949957389864,0.9808435019476475,1.2801127985834855,1.0239909754971037,0.9553243316928404,1.0613727382993674,1.0450568770256912,0.7962624482201457,1.014793485949255,0.7955642789341201,1.5191239554670686,1.4006977547125914,1.76125632898608],[1.7675630905137538,1.0973994608733235,1.173301436567163,0.37734200374081056,0.60430211156312,0.5926356169773044,0.5030697670059127,0.5305509208485074,0.5043850354483098,0.48793965227214214,0.5254234090780945,0.5473779082926598,0.6116771370489612,0.7036639603538646,0.9658811538881804,0.8505765565799172,0.9493247574828699,1.1703964027318248,1.5120092649993702,1.3465608566343397,1.6164147740101638,1.5992064447098862,1.903634070669678,1.995950343375325,1.7435531103907411,1.6259456012212377,1.282029991644096,1.2152798653733685,1.0640485053916093,0.8230578667961443,1.0152966774778065,0.7601384004227839,0.8151214741549423,0.9471183420306147,0.919263137788136,1.021286505612785,0.864721399687562,1.0298295925254937,1.0507716594578376,1.0151399846605464,1.2299219000933028,1.419288375514913,1.4009488695154404,1.6454138954266246,2.081800597062411,2.526559453307269,3.1435938434577,2.151490137851485,2.586744632554089,3.1535519056507053,2.1734803970217134,2.2077399386179493,1.5703127476465228,1.363517172858745,1.4994108886714872,1.4499781389167772,1.5642240300048882,1.3937968138220946,1.4396303308420968,1.9864643743293258,1.6564239747432654,1.5801513365177304,1.4225550457608198,1.7557022672058324,1.6246261705340717,1.446103033705444,1.653981125849212,1.4150475832097318,1.5247221664042716,1.4791229614602666,1.5829381905765563,1.847120914898008,1.5848597445232107,1.717080792279664,1.425501037753598,1.7023567959662058,1.3847898151415532,1.2917668626130654,1.2194169554672942,1.2795740605577872,0.9959078003380859,1.0313637699848983,0.8155353073371844,0.8058403717575596,0.8263614308530003,0.8517427665772701,1.0584244301223928,0.9224837706723786,1.129146175979927,1.1159076328622028,1.1380276967188143,1.3275140621243215,1.2280629994201675,1.0196413500944765,0.9421286554517488,1.016597011337094,1.0348901147326168,0.7578745127782793,0.6165846520047242,0.5289593022356472,0.5858022070296554,0.6258876420852442,0.5785553622930015,0.6564529072123177,0.7018650166064732,0.7448510026870079,0.9942171530036666,1.1655942413265912,1.0707062598338755,0.8638664848868332,0.7820861949810686,0.602085549899407,0.49647999675527354,0.4831789331328007,0.6116952877048654,0.8175157289354307,1.1039716262030919,1.8364912696246518,1.7812975760619323,1.3187308527450952,1.3028852889870657,1.0775702087512011,1.0888275869706725,0.6092916897017252,0.4145020310109825,0.4514064947013927,0.8143885461539816,0.6290577383183245,0.8136807753487085,0.9274833955776254,1.1188807993526906,1.280045403580803,1.254193468644395,1.088652871491566,0.9845882308237623,0.9704217581343003,0.9166892564914209,0.8430365073065349,0.5615412538637039,1.0409398006796877,1.8147465629773623,1.3081691545470029,1.3959786397217975,1.2124557738196613,1.1270165028280241,0.9123744846763399,0.79516217996219,0.6151659154691289,0.4922637790527852,0.4814841130651766,0.6196444872468413,0.5502137367880184,0.7554272539529346,0.9520391547126208,0.8159419013128257,0.5427694895061899,0.49881217770687253,0.5231982104312026,0.548219373702361,0.5784257011286243,0.5508036566585297,0.709870998369357,0.8071618038910044,0.8409245955906393,1.0280281990830054,0.9770607364310242,1.0252339399369732,1.3079387476877133,1.2344604293908874,0.9503648838877028,0.9006698027154942,0.7612793072163533,0.7782459693615439,0.6707768984475615,0.6445335795723935,0.5985305474641722,0.6112385116642677,0.6377510051545595,0.7259611221303272,0.6855967216711403,0.7501181626985155,0.697980835166918,0.8576582696426014,0.99140275032193,0.9282358571062912,0.9535635971307457,1.0446202545966026,1.3212536387146907,1.5915313892631213,1.5026921961167528,2.200348126065229,1.7170373458063697,1.845325038901423,1.6798145454871338,1.665581797411844,1.934792874047529,1.6037003762797235,1.6237135193108405,1.5761008312644347,1.3949318079759103,1.527291455055315,1.3250467898182847,1.2458306207104706,1.4069275500629586,1.4474732658609812,1.22533755033436,1.2940137528421054,1.474578425989987,1.3537367986726692,1.2750523611107416,1.4242340432892926,1.481578153475335,1.3503202140066328,1.4073653381006417,1.7322777007370818,1.8630230983297509,1.776991925435771,2.0264585283302727,1.8361444162041698,1.9361748091712445,2.2003462890026624,2.866771889072095,2.66861285402111,2.208533757034355,2.1827897107461114,2.1510247596463095,1.9821138398543194,2.2505383554496543,2.424143256167565,2.0723229386684276,2.0426630652691014,2.552305711547426,2.4300475557011803,2.1412277435889546,2.354512795699296,2.7608428399951404,2.4477384267603823,2.1338175805541355,1.8650458052985046,1.6481593909879362,1.7155948438985191,1.666265759105929,1.617780455392981,1.6063521390941204,1.4509751423719799,1.4464553032925156,1.4780816775411576,1.330953941077209,1.288331487248083,1.3002249042975824,1.2693264073373027,1.2044714120448203,1.2524894580249475,1.3596365801326,1.299899893875815,1.4701893465345937,1.3859160830866473,1.4840056492886704,1.5577705902158503,1.6307236701206411,1.5868128959027616,1.7838818916647452,1.930101054756331,1.6585124949646268,1.8292345701988113,2.0990712103483795,2.0094220272908903,1.9025691815868824,2.379608137767732,2.56599575785785,2.142606599840583,2.288601331337987,2.697311837467343,2.745622977688359,2.471301335827382,2.0638049902535567,2.7796334343294307,2.347052903315463,2.2845493327621305,1.8689136055492825,1.6366333449566726,1.4792680094289898,1.6938123570868509,1.536868532515247,1.729668530732241,1.4168558933919955,1.5433083729667036,1.1530910110228718,1.4087317425808812,0.8869943700451219,1.0093978177439458,1.0347826488711818,1.0379189101189563,1.2006466790068993,1.0218682317789916,0.9565729293822939,1.0238602686347733,1.0200337621247253,0.8875250593677696,1.1478242941278618,0.7959381913656985,1.5763283278715703,1.4789650389990079,1.8659047016552017],[1.7125235293706322,1.0900404732172204,1.1708444585367066,0.4200417566311983,0.6151017415068748,0.6250018622213402,0.5682080846968146,0.6030964203490325,0.5682772392215016,0.5402048784327481,0.562898699380413,0.602730686769286,0.6530751191449191,0.7108656467271681,0.9456640186549315,0.846862035503453,0.928755368902803,1.1258246543670785,1.4530284940151832,1.2886812872704705,1.5388512375762913,1.5198056973160239,1.8237472544988824,1.9266026052152623,1.6794084004667964,1.5615444052225378,1.2379972116656635,1.186728739239022,1.038219474803677,0.8161423510815178,0.9772142663500075,0.7617836948734626,0.7998201628974707,0.9088057185681793,0.8942794712940718,0.9836570985984356,0.8565461602343889,0.9994121944840595,1.022462563441391,0.9891185063943843,1.1913700603127362,1.3538695906269413,1.3270139251284272,1.5732067612298346,2.0279522228217806,2.509272093370424,3.1325198602772226,2.0991399043511083,2.560631696807951,3.1455700880814037,2.1184911135879165,2.15980071963226,1.4977320116342043,1.300538157737144,1.4629654580944806,1.374017711620949,1.4908889782566535,1.331537497782732,1.3649367771497207,1.9005426924526103,1.5772778953110702,1.4955079298404255,1.3414847521974906,1.6540093905045257,1.5291065852573749,1.371181511520694,1.559079159043097,1.339402712655669,1.4481609207241166,1.4082188411795535,1.507614226191749,1.7557329920396192,1.4960407605940853,1.6226648038323217,1.3500305522738272,1.6037804229914159,1.308077808157523,1.2202403758153244,1.155266732594206,1.2149014797401723,0.9602832729771947,1.0080504406971234,0.8209694993147014,0.8080821610445537,0.8145747434972954,0.8428030354520845,1.0225247191825886,0.901843062392714,1.080635264883782,1.0696271304336522,1.083469812686629,1.2612549761641065,1.1726335376030856,0.9833905229853596,0.9155079257349427,0.9803673742736371,1.0089370037979912,0.7536584774023647,0.6401363321536031,0.5790422171714887,0.6254363112020541,0.6850584684567868,0.6356868656192816,0.7126332330784431,0.7448554047974956,0.7864413031074367,1.0241835457708504,1.1847972470451547,1.0923879867901773,0.8935799272187589,0.8208709872273163,0.6574786413126703,0.5735944411937641,0.5523872349708733,0.6517643316347632,0.8394001221881625,1.0971909233002288,1.8384307494858492,1.717397690968222,1.2769855132003571,1.2699078149743446,1.0745516782364017,1.0956157366568897,0.6411720412495362,0.48872983567577,0.5184029924765876,0.8608686528248537,0.682383389279959,0.8510377436073292,0.9565368907894267,1.1383285074816412,1.2934657258120343,1.2687479704447566,1.1101466545902063,1.0050356305907868,0.9933105974633054,0.944095048572749,0.8792602398166655,0.600945470024005,1.0397394684560932,1.8684121424645408,1.3194705888770188,1.3837340205827868,1.2206337241318457,1.1102444985413504,0.9049055544205674,0.8068490871467463,0.6496133210313658,0.5477409953255843,0.5566642974361571,0.6768807514383132,0.6166969548598082,0.8106918313373901,0.977327383147481,0.8334243828793824,0.6069534294968536,0.5575242129273584,0.5940292795326069,0.6060184032709737,0.6413962114040187,0.5952331823122508,0.7234525209923824,0.8179420296943567,0.8351722657221489,1.019908927598297,0.9917531027551344,1.0264814491484722,1.2951914022912472,1.2253634959288728,0.9540161557705251,0.9041419172682699,0.7753112247887962,0.7873165440403475,0.6904450842095007,0.6702969688965091,0.6394492193363108,0.6467239004831619,0.6854487054170825,0.745549444016841,0.7098367702116056,0.7574139085155247,0.7336193279512174,0.8756701728618083,0.9974825964185632,0.9380266674717802,0.9505651895393332,1.0332469275022191,1.3054944054642839,1.5667392012898091,1.4930785028038014,2.176633622253834,1.7069474088717815,1.8418820735645793,1.6842009374157425,1.6690935770775561,1.934084707140393,1.6132981029912126,1.626372319306544,1.5751345794446272,1.398688162291126,1.510362379463332,1.3129314492391608,1.2413417799052684,1.3808842222136017,1.410975403640305,1.1971819243340358,1.2524884935876026,1.421498727169483,1.2991724011487675,1.2206291935948084,1.3576110463654287,1.399108313259355,1.276719953001752,1.3391886455643571,1.6357282514439144,1.7663353412907783,1.662801552369711,1.9207539727248848,1.7485280794123341,1.835269060780012,2.0872789971647774,2.7254713507419543,2.5433964258655415,2.096514450641744,2.0884648723460613,2.0669007818784317,1.9238308328216904,2.1769965715657484,2.328734248975137,2.022498871171369,1.9948487353134372,2.4825239183072845,2.363275526114421,2.09727452063279,2.3139205403950367,2.6990804088120184,2.403097435051069,2.122360677551583,1.8450889377646607,1.6406567686592777,1.696078168594136,1.6423630971395518,1.5996575208689947,1.5794874923340958,1.4517202756110519,1.4366133592783668,1.4545932213939792,1.325651150425508,1.2846227804781714,1.2715109620807936,1.2386507352551963,1.1809442638393646,1.216869593641544,1.308788526944276,1.2484556546089198,1.4189405503547265,1.314447782397476,1.4018572626653685,1.477120422295596,1.5582427784654624,1.5325286513495073,1.7167608444864562,1.8410299231595453,1.5925982186570165,1.769470936369081,2.012698822268308,1.9280483858423112,1.845420943572112,2.2893934597804626,2.4590445865794686,2.0669468446675348,2.2265484196893586,2.591922223169176,2.630015174969447,2.3797114301019486,1.9937005147508988,2.6769856411375894,2.2781970864643815,2.182241712949464,1.7995890168364512,1.5739003017952238,1.4173851371286983,1.6463356440986099,1.5018941610739547,1.692344753464714,1.3891907175053935,1.5080435563511265,1.130828121698416,1.4077162842697417,0.9008651875347924,0.9907845943122207,1.0287602412877555,1.0228415315605506,1.1601313777166913,0.9959605139579858,0.9229089071864565,0.984507568103553,1.017572782439819,0.9440893107676888,1.1700147438400774,0.8269684113306919,1.576954521594447,1.5534724643328894,1.9845491316768997],[1.7373844454969383,1.082209476492681,1.171858807843022,0.38867759738852414,0.6374645878868365,0.6162693601727057,0.5218052061850329,0.5579254836193395,0.5159568032525388,0.4530945934589162,0.4699103389218832,0.5163772499039939,0.537450959370369,0.6165252850868899,0.8213761817820693,0.7230224777997043,0.8181536334490318,0.9897339240601706,1.2941077842524564,1.1408988204002126,1.3656743750967242,1.3445286059279924,1.630873664305421,1.7328468272734414,1.520547487322618,1.4048371440270002,1.107875268507382,1.0618835509672988,0.9103131656852432,0.6922424779304175,0.8357429358304361,0.627700472564448,0.6726026242748762,0.7556039835654921,0.7442614286600999,0.8318264418721499,0.7198573558382286,0.8676787487987144,0.8926924859310318,0.8578348738856539,1.0561335883172382,1.1894004787004926,1.1416975017804487,1.4078848142818348,1.8749339560608653,2.425134411134283,3.00528319467684,1.9474787570013208,2.5704021138129614,3.113061152929741,1.9534769034339714,2.0790350917873655,1.30674143200418,1.154918716366763,1.3033246346773377,1.1847064690884332,1.32142362720465,1.1633864647964147,1.1917735250351142,1.7307632582508354,1.3964461679403706,1.317276680827802,1.1625723805939951,1.4400235208289596,1.3481699621028547,1.2033845311649125,1.390531678658295,1.1786170989770373,1.2951944699358402,1.2657997724612151,1.3511983939901906,1.585733662499848,1.3433570243838215,1.470097968483456,1.194648588324971,1.4423313838757765,1.1319508600725565,1.0362426835472978,0.9732987455129,1.0314874562715621,0.8040982623292303,0.8568519973343,0.7129676703319445,0.6728497851111808,0.6919561970574136,0.7041717014394424,0.8738810483138879,0.7761638677379411,0.9146101986167774,0.9122327558356312,0.9145639690765756,1.0965954865992456,1.0157730162994234,0.8231638197376301,0.7706403010936577,0.8481839879681027,0.8905933526654046,0.6366923870563943,0.5493809193680106,0.5428923051501096,0.5438312823511313,0.6589334925524196,0.542643929619089,0.6784040269315842,0.709122886919285,0.7672130438971462,0.9976324306093298,1.1510396059969317,1.0785907863828297,0.8942039324211807,0.8170528158220511,0.6183961021060693,0.5098056947561593,0.4646979292283582,0.549289082248269,0.7629183723477365,1.0077725055864688,1.8144328986117988,1.586454992462402,1.1411393173626574,1.1541219829134117,0.9706444018248592,1.0299527491468667,0.5691103784542235,0.39861164138276484,0.43677519237330853,0.8298185030447356,0.6469658922380258,0.8280339515144738,0.9189912050944906,1.0851714315233951,1.2388914542830782,1.2020011887523505,1.0411004256882637,0.9438803978738012,0.955429672418178,0.9576062689183006,0.815317609723427,0.5687725235993314,0.9758968329583486,1.6217933241738365,1.2213064829141385,1.2934336956060564,1.127383159854269,0.9975648355750705,0.7966768026025038,0.7176072491990382,0.5437165911674444,0.4632420392633626,0.4800938399351686,0.6589116119335247,0.585813419113223,0.7968420448132024,0.9781810990634879,0.8326012315499937,0.5731894499610699,0.4971425970284786,0.5597595065765298,0.5230792996299105,0.578687827913993,0.5099881586675663,0.6160843290171263,0.7263171354959024,0.7255347409305147,0.9286379135057176,0.9343315905232856,0.9399429415382408,1.2122767947332453,1.1712527546522669,0.9274574776377142,0.8499917117552444,0.7057160042004261,0.6974526573481342,0.5947742246993536,0.567723539500243,0.5556249975753479,0.5592222761111696,0.6112862795801166,0.6346510001825949,0.6144094463444534,0.6549997726239564,0.6682395445920608,0.7946306295573017,0.9324432683765127,0.8834586947098286,0.871766682464049,0.9384675200756798,1.2071788475793481,1.5208229297368614,1.432937788155898,2.0605374764309006,1.6485275476943833,1.760242555659106,1.6190456012778776,1.581457757263833,1.8417290728386329,1.53463632585069,1.5474490979486601,1.5254398469122386,1.402256790391151,1.4615931677593845,1.304181309134308,1.24995252584174,1.3739755031284182,1.395012307526247,1.2256185364134564,1.2875144233101004,1.4220178846055798,1.3167240038268588,1.2672892906276287,1.3849153001804722,1.4268226568200828,1.331250868236104,1.3744288119778223,1.6570695148100583,1.783335150937972,1.661236296137268,1.8918313118994774,1.7185099978171143,1.7924059276016413,2.0177913863526613,2.6208156436984855,2.4000619288631375,1.9820015053971403,1.9631763151561685,1.9305406212811533,1.8214650487882036,2.028735749779451,2.1786078740214636,1.9054429589862651,1.8780228602877052,2.316450908266038,2.2327222453061633,1.9855600293824238,2.149900518315558,2.5376164306999995,2.266967045947698,2.015469710711107,1.761645856670221,1.5524872099418388,1.5956011805748773,1.5650360234102465,1.5419134486289416,1.524877518089316,1.4134378969998307,1.4041768761475149,1.4101452488524182,1.2989461970555085,1.2899320991447403,1.2726126600768288,1.2480933831007062,1.2123759302040558,1.2499987321321946,1.3187056473552066,1.2793904165426386,1.4603656830768466,1.3353810841935219,1.4036008027693434,1.462463842696077,1.5210628974439249,1.494575560655707,1.6312852373139572,1.771781532835864,1.5580368713145858,1.6912318225928133,1.9167264369982706,1.857809462841019,1.7787962620535291,2.1655742132620164,2.3511993856913294,2.0016264038361418,2.1316698849447784,2.4427960040453582,2.5118912798851247,2.308171029678384,1.9636348278853637,2.644874747405787,2.2672240731451536,2.145166038734215,1.79319580221362,1.5768392869835346,1.4609738836100763,1.6596468648795055,1.506195548310518,1.6910664956033956,1.3744371715084698,1.4913233737711917,1.1701552906749815,1.407217219577936,0.9170000238452721,1.0343789413905653,1.071961606830453,1.0636803325327202,1.2702394714034568,1.0780560963661263,0.9828340433141619,1.0637407707864617,1.0404960617298127,0.9228044977358215,1.1847800360162806,0.7982965766271423,1.6343248699267392,1.4550155928546478,1.8532159125459082],[1.9781205990568527,1.2313175135612753,1.2997167920925008,0.49889221635196673,0.7476212626354164,0.7055550954077909,0.5784604960768254,0.6241333390100744,0.5441592338533405,0.47325709404928157,0.49553135134335907,0.5416386659064779,0.5570061672329186,0.6461367891851192,0.8578056569146472,0.7601185482960459,0.8678678472103069,1.072432321525429,1.4164705764592638,1.2509902270540316,1.5192232226951872,1.499331521617557,1.8146807930252487,1.9307834232474934,1.6730948452042345,1.5509809109341972,1.2045438487543767,1.140244928429251,0.9727019733794391,0.7369001472275574,0.8973767071876154,0.6627466413920132,0.7048023570950958,0.8162005148404283,0.8060341740301321,0.9095576609063487,0.770439558990757,0.9318649010676475,0.9649068755598965,0.9362477462655426,1.1563615629994055,1.315146267164551,1.2828859074114616,1.5529437598781377,2.0425060158455888,2.544941618212007,3.1583073901915437,2.1098526431110134,2.591664534657289,3.193643338073611,2.1010894922430086,2.157950579075048,1.4256167767494035,1.2382614152272566,1.398034975977135,1.3113432462592356,1.4523412340772888,1.2696075943127347,1.304996713623827,1.8771692400614435,1.5481942448130068,1.4637973569902951,1.2930846508532294,1.6207960660152223,1.515689801690684,1.3366706879369605,1.5503525579550954,1.3009805847112996,1.4342006794081328,1.3866556516850332,1.4850755841943282,1.7410369019730016,1.4844878216460895,1.6204111136663524,1.3162452561546778,1.56948007231646,1.2496303087409644,1.1424231342730908,1.0754695179099036,1.1398768979004024,0.8799410251225452,0.9370509456598373,0.7466778025275331,0.7353790124952556,0.750385559680562,0.7604734991452625,0.9540082138688145,0.8358514990147317,1.0062416173237085,0.9834791619817442,0.9998177636543396,1.1836862431379462,1.0893078913824579,0.8820745736185247,0.8209628574811263,0.900678099642309,0.927632404938259,0.6554230632558535,0.5657984162138505,0.5901787382432698,0.5732464496980263,0.727768418559278,0.5948149657199254,0.7590258949448742,0.7996299947154639,0.8552706525571688,1.1368044450682395,1.2873972878866642,1.2169526948063063,1.0142422828726076,0.9134848003487398,0.6719305889858921,0.5566401548527782,0.48615808237894204,0.5710377205519391,0.7937558690929207,1.05927951677115,1.8664722256454402,1.7087170290518323,1.230257448318007,1.2416639464695693,1.0233860092513927,1.072993231579037,0.5979049107735065,0.41667685921163294,0.4593862568026007,0.879222868841882,0.6964281820060205,0.8962613370463365,1.0031001838700466,1.2001831842230644,1.3850355371263092,1.3172357653007796,1.163235858844828,1.0193911698097196,0.9852789922441718,0.9933379432108986,0.8345305331242329,0.5814727391123842,1.020799714189013,1.7490849008380318,1.300431609000167,1.3736789490634305,1.1900221652149465,1.0720200490231202,0.8525244281451976,0.7639974215705405,0.5788652688881533,0.49769364541056665,0.5254322227761653,0.7241713055701116,0.6592716911888084,0.8895604739637036,1.063813933687562,0.884175303218786,0.637701991239666,0.5395548532536334,0.6333791272779112,0.5542132073056832,0.624564248928295,0.5575009591706739,0.6578424216159031,0.7728681421917475,0.7823100354183555,0.992052483654715,0.9949452738019815,1.0217648031105273,1.3083177149835876,1.2330733641258813,0.9620482978763032,0.903047943135168,0.7489433669056806,0.7528776760860607,0.6496503702324463,0.6200597461555284,0.6187583217207325,0.6004660384377655,0.6790789355315905,0.6928975019849591,0.6899347881724793,0.7216792223575347,0.7433886780983157,0.8888930090924976,1.0198402295600435,0.9474788813953947,0.9292271797743101,1.0042682281127773,1.2919803724332208,1.5553527502316822,1.4730754955500796,2.1021235781997594,1.648700485538382,1.8080541232655267,1.6704616552001723,1.6831153575128786,1.9804095598415399,1.6354769127070563,1.7117413178849126,1.7041108232389144,1.5435750584248369,1.719347099701361,1.5343996309097507,1.434032081637788,1.6174995569054855,1.6889228733063477,1.4572440992176001,1.5095188538323376,1.7136159125781913,1.6200673769566418,1.49545006389875,1.6508176905124803,1.738371955751463,1.5744454617055794,1.5910519763440951,1.9434194844636918,2.063243834225292,2.0406063811924526,2.248758301398554,2.0755948613751882,2.195034843085391,2.4716550547823695,3.0919993904238643,2.9158423345180653,2.442392744024044,2.4280164128758264,2.3978475340732155,2.225023269623092,2.465921161305923,2.6408438304901756,2.2816863106848144,2.2361929819386384,2.7079998439666717,2.6062273673350376,2.3067401665126033,2.4769411923937388,2.8984897663792464,2.574620285171138,2.2168752725027034,2.0094327333385507,1.7947587810215138,1.877822234337737,1.868884566073064,1.810454027057852,1.8473975225067885,1.639502465122979,1.6529640269092503,1.7170822823655794,1.55809230393431,1.506306881795243,1.5561890956414697,1.5414154254955337,1.451777950920358,1.5031381655855156,1.637316720592988,1.5779709618690476,1.6991847382063376,1.6603927236502467,1.7804544691324822,1.8480552204990748,1.924122541700462,1.8616605073597026,2.0402977209559077,2.2033013718602743,1.917584470898146,2.0669142404745693,2.3324871126492694,2.238492157458967,2.109117990490564,2.5830909645669027,2.762529326666431,2.3361279699587616,2.454616823168962,2.8661632242803745,2.9186087857741785,2.6476172908531646,2.2389161866131175,2.940843927453387,2.4816447385474723,2.469458764331323,2.030534785028917,1.8306379682056988,1.6676275527850326,1.8350278198209269,1.6824621507446837,1.8586712840701287,1.5793417908865999,1.7034848280898098,1.3214864603344099,1.5402494427032762,1.0263890941399785,1.2034716063023956,1.2394793978456815,1.2708003832830692,1.3782663625170328,1.2203586563047815,1.1628853948038487,1.212212081684121,1.1127426768682938,1.0414496502502506,1.3169557919935535,0.9002231344548783,1.7348884117778378,1.443393558952589,1.8345173693491512],[2.0404088853987505,1.2791146459543126,1.2624908062353397,0.5342280674373379,0.7560519401429332,0.7356847228503678,0.6762454734778965,0.7452849683970625,0.65264720254041,0.5797796505553094,0.5779296204865398,0.6416497176772068,0.6780571095588348,0.6804998325879863,0.8489203876466844,0.7824057379506285,0.8561616302840288,1.0224747026675514,1.332228884547199,1.1828264370802033,1.414201861420351,1.4007427380305697,1.7218523064280489,1.8510381920569907,1.5789643709312642,1.4542069588206574,1.1508532639229625,1.1099878437846835,0.9652254882578194,0.7847357636530344,0.8725212642406712,0.7412813778767093,0.7509361367167751,0.8333689980191938,0.8494736498756154,0.9114802578972012,0.8446535235325295,0.9512450713430614,0.9913633403145969,1.0238752847265409,1.1615400990044706,1.2519127351939534,1.24087954995418,1.4865225618427027,2.054043150127221,2.585870352318732,3.237247664402388,2.12238192121969,2.5152822833920894,3.171299329070886,2.138220651645025,2.0657667485737767,1.4536639503717363,1.2816725064791665,1.4861801604483331,1.333904230575162,1.4217809266555796,1.2680827000982746,1.2880122141919654,1.7911624776904536,1.490408278338924,1.3868176506838437,1.228830143579733,1.5072588481651905,1.4178124815815545,1.265168567846206,1.419490978793125,1.2075647355970158,1.324998506323755,1.2700126801149618,1.3632352693665442,1.6075384068148943,1.346876431637142,1.4926859652948745,1.211911145172362,1.456786472896877,1.1829667910024875,1.0856584285349302,1.0442066992696077,1.1200289246641129,0.9373470339561036,1.0367835782831822,0.9022200023677653,0.9151926188646546,0.8947982204237228,0.8802294639185025,0.9725696022792274,0.9040503962786429,0.991039980394367,0.980010982299374,0.9646200574747464,1.126125497133295,1.0240023845873052,0.8633266434209682,0.8072292645446258,0.8682112701553143,0.9032168196955915,0.6897078178941041,0.6509344305552408,0.7053383911863794,0.7088236616648861,0.9120733975312232,0.8109447906335565,0.9787394452038634,1.0140456750999436,1.0360787149175226,1.3263807308198254,1.4718088001631837,1.3377091948359674,1.1535271121594302,1.023179265627552,0.8375056331434967,0.7221390339975069,0.6565417556441172,0.6785809315966672,0.8348047579404874,1.0470830883181397,1.7880668252076217,1.6107257054708712,1.1745964714211898,1.1766965193609276,1.0048927965989765,1.0510036342910731,0.6512408156497554,0.539331519245107,0.6193536288584346,0.9890521414108145,0.8567328211696921,1.059517728280041,1.1971565206796477,1.3620251683548206,1.5627699257197394,1.4999355165944168,1.3809359377246138,1.2146454245747733,1.1370922500523815,1.1108894992152691,1.0065674177515351,0.7156580842024861,1.0303543560197526,1.8455912854330196,1.309096738806686,1.3306531274327666,1.1975299545511413,1.0642693780778403,0.885994324725205,0.8189331121273032,0.7050650438437638,0.686615527441629,0.6961481588788032,0.8617846360999726,0.7859123553425011,1.0347573497330373,1.1382991218440492,0.9204813981476768,0.7805238703646231,0.6872278308282986,0.8075132705086917,0.7304860255402342,0.8323872089565394,0.7660079899806052,0.7871197842494941,0.8744124581634071,0.8855783577121511,1.0745289754887364,1.097854319301104,1.1525717616241826,1.396460426916521,1.3537337966745338,1.0844479774612807,1.0597526443420244,0.901620193590548,0.9196636284346785,0.8560854788934052,0.8271827702291746,0.8414679703018886,0.7842531557481802,0.9059655289111619,0.9030359296470799,0.9186140586228833,0.920546238352861,0.9703123912529041,1.1325852666492728,1.2503454713699937,1.1394209785330895,1.1029891099497002,1.1210062588795502,1.4277044530497653,1.5992765837378038,1.6192831573010593,2.222955951759558,1.75305984883464,1.9290344437616116,1.8029441445971413,1.8533248380432599,2.129788830936316,1.7646739300768772,1.8365388497170756,1.7616237351114328,1.5754267789850298,1.791407741871026,1.5881297532309648,1.4574248098056752,1.6209249624689077,1.712564240102999,1.4367152438655606,1.4452391124781967,1.680852624076138,1.5988041351894529,1.4172359013908615,1.5766469757385206,1.6717216535499728,1.4793291240953317,1.505051849365058,1.857015861551537,1.9671862955540684,1.955129606340088,2.16019430007572,2.02593983691289,2.162268150325656,2.4338735306701533,3.119833138381107,2.959395961886921,2.5412666419990506,2.5278028655801914,2.513029048102561,2.3309762890461783,2.5952613467761427,2.7422049274590394,2.3811550897953526,2.3503842548811527,2.823928160148543,2.6885004899609934,2.4003611580144075,2.6216751462039705,2.9894120219092177,2.6474382476265648,2.3204721672398163,2.081496326832677,1.9243827484159117,2.016175114800256,1.976759751481892,1.9209336866342615,1.9663642427203651,1.7568488550452,1.746262765934487,1.80516944093913,1.6390144197891177,1.5519196578563323,1.5960104291103523,1.5760543228706796,1.4587758898440604,1.4954114374867025,1.6527039792849545,1.5736894327267228,1.6532040199523252,1.6370645876267211,1.771379514745248,1.8412798842971734,1.953927029675601,1.910317472821933,2.1221019903964957,2.244187364489011,1.9282272691778628,2.127791788629135,2.3829990241917476,2.2579347047117775,2.137092665288752,2.6445854641801247,2.79481407752536,2.323962216235125,2.483646116865701,2.901243974120774,2.9058666357729197,2.5940185375764457,2.155707990561462,2.811971999313045,2.334136440983051,2.3718047552124384,1.9192750112946568,1.7432709627520029,1.5602038895043613,1.7490625251711414,1.6028815944440462,1.7549354488278845,1.540741006237143,1.6930948253779117,1.2855180527886998,1.5832661137192936,1.0865667581130574,1.1875365083846083,1.2702703883197688,1.3036255490714748,1.333986128870847,1.2061862139905015,1.1414015825480646,1.157902533953023,1.0777659057819975,1.1515230197480262,1.4402789657751562,0.947657410204842,1.7377201549223789,1.6050788417738397,2.1189481629995344],[1.9744485192768562,1.2756222097420686,1.3141372029832725,0.5508670680634793,0.7808844295289029,0.780190224152923,0.6812900951268628,0.7330704827354744,0.6625875858373552,0.553254324858597,0.556733324989793,0.6178310683427916,0.6156947589774909,0.6215853427873711,0.7595720702007756,0.7013144432224843,0.7594018841568604,0.9051605830532871,1.185682637287167,1.0604203962815788,1.2745059894408064,1.2556518563786463,1.5643812218806592,1.7055581062084921,1.4684586982227519,1.3319814991478611,1.0473100342349373,1.0164312338591637,0.8605537597969011,0.696206286415716,0.7622347904330864,0.6592055195429054,0.6737792763224524,0.7203354424442557,0.7421984629182813,0.7943381200431965,0.7432801132547396,0.8425434036989857,0.8781991707938536,0.8907508097349812,1.046706843264744,1.117339324623971,1.0792678997859606,1.3391446374941598,1.912527824164862,2.53497234733348,3.1372158749703525,1.9861211777530257,2.5582957523385677,3.191651350760798,1.9892938627550465,2.047309376774332,1.264114679496429,1.1204223689707962,1.3182929339042235,1.1475339545406995,1.2747029956600398,1.124176565302079,1.142193530738969,1.6430999468760503,1.3179833029779067,1.2268875788347948,1.066312013037354,1.3253577984664746,1.2496454177348302,1.1182825363827054,1.2688616756038167,1.0598548017856502,1.1755980032448088,1.131378183956753,1.2253146586365935,1.4369445613555216,1.1973393173542375,1.3303095450637927,1.0732446425112916,1.2720798741504076,1.0315198439892375,0.93853605936621,0.90136860686793,0.9623785727415898,0.8068082994752224,0.8909004106094677,0.8113460825021573,0.7873007358564147,0.7760756671484118,0.7660023572578611,0.8482570239241826,0.7860812533138641,0.8586389320192042,0.8598877194654712,0.8211100550617303,0.963492182884589,0.8925178682451601,0.7507732748802217,0.7090322468016647,0.7594223885107887,0.8272644949670586,0.6202335291473297,0.6056139198447497,0.7058270000947519,0.6696359202257929,0.8804293766496657,0.7389327878772517,0.91774866860376,0.9348794608331658,0.9712087807424382,1.235384935447105,1.370842073490739,1.2846311055173696,1.0967772464179875,0.9944223354662671,0.7862174185928956,0.6828961346683339,0.5953869279811581,0.6132803965864216,0.7772299145990234,0.9950012617402842,1.7942574767996124,1.4940943552164152,1.0624475842219072,1.0774215513560812,0.9258053076630338,0.9950543884512821,0.6043570087725171,0.5250032902013083,0.5726059006551432,0.9547636697407471,0.8059234088128002,0.9978396251206165,1.096929924707964,1.2599291449196346,1.4474305096759628,1.376093681810444,1.253128304059398,1.0933590407161966,1.04990179426101,1.068181376006837,0.9038957726713611,0.6419267569004704,0.9634243044717323,1.7303566458235324,1.2700186054604594,1.2707367927591984,1.1442872727070679,0.9833644862674438,0.8026614487591851,0.7556688038768802,0.6315246012291016,0.6131666356412409,0.6564340686737017,0.8614453423677088,0.7782049717758364,1.025791032067981,1.1574231607733185,0.916918614415158,0.7694010090150688,0.6547215760214835,0.7880284295569738,0.6754645459628223,0.7674920033572851,0.6773743340724993,0.6902475573653173,0.7853713552110222,0.7760309650809712,0.973468570295789,1.0408230375138947,1.0419087353298333,1.2953547314088818,1.248400890676936,1.0094856887571293,0.9560396842079205,0.8078924814691396,0.8082734444447013,0.7495342886747279,0.7283467926833919,0.7607527202126886,0.7143759628716072,0.8378865433407313,0.7857144250784517,0.8194979449015184,0.800077697071924,0.8736938171375161,0.9823353540866221,1.0885373320238128,1.0271449099051178,0.9729752865008924,1.0005766511306953,1.2778271799322996,1.5048493979880926,1.4988652214085687,2.042868208856014,1.6259416359606056,1.8128087120940173,1.7062205591093222,1.7188961823772864,1.9909160414161307,1.6615340812062136,1.7356543807701743,1.7161042429430053,1.5698035186597321,1.7044932008911033,1.542626759380832,1.4573695758503125,1.5911104333984694,1.642759571658948,1.437485957148255,1.462018488041604,1.6367090239459883,1.5505796606724744,1.4395346218930616,1.5647936676627874,1.6216111265472317,1.4886192402415412,1.5152301954006335,1.812548466554631,1.9341009666056634,1.8302651646700425,2.0292287896084242,1.9084140649618844,1.9956968163885154,2.2265061926492753,2.8064699782583826,2.634342648584122,2.2359669578807306,2.227543739418746,2.211141115201451,2.1062821428038303,2.301196881764569,2.432451494037907,2.1609236745716904,2.126192087119381,2.529967330025449,2.4374973275819385,2.2073455705154315,2.378527501845134,2.71020829184263,2.4482578718746457,2.186584700626156,1.973995765014279,1.7980750255642175,1.8486895193128465,1.8325587463430444,1.8060863859389915,1.8178149969108535,1.6682370282552281,1.6636124341718155,1.686355040749999,1.56992461289313,1.5241345215969166,1.5385085283402218,1.5177496444447656,1.445364432937644,1.4777021318552883,1.5721594065279685,1.5170431399396809,1.6507085104681627,1.5661708418575107,1.654913589856609,1.7167980907044302,1.7961451399724169,1.773276475578579,1.913978594482427,2.034878153400805,1.8048634249059774,1.9549504146478105,2.156931078525979,2.0788108892216446,1.9989555602475313,2.387082151369793,2.5263378012256164,2.1779431368088193,2.3193717499810753,2.6233804221035464,2.648441073932699,2.4396961812951035,2.0875388478388066,2.67616160641811,2.2976643828097987,2.2455327276347385,1.9102643448253933,1.7350814118200915,1.5989650714492727,1.7946298109565866,1.656357753610156,1.7956576440288934,1.5414950869705113,1.6584655798606225,1.3138536251697015,1.5599572395107653,1.0787533436813541,1.2217909459700536,1.2708183405309506,1.2822096427441985,1.3500406208916946,1.2229865346889504,1.1267789210680865,1.1759852014260228,1.1500498149578986,1.1319029493454298,1.3749954733316938,0.9546388811998633,1.6885239765588038,1.6103233455626607,2.064604688305394],[2.047873987453363,1.2592442631568599,1.3276203618330902,0.5514563228659448,0.8555003052978268,0.7902842401239966,0.6847704775910544,0.7550057891816,0.6433248838250576,0.5337496547401573,0.5436063400496466,0.6079217670745313,0.5830376446902895,0.5953222168190597,0.7260753786378401,0.6589252364181454,0.7185001751900716,0.8510154286442855,1.1292259494004935,0.9911285371950895,1.2006366379378814,1.1726711218833061,1.4706487846497551,1.6015823694371107,1.3834936887146272,1.2572701642214086,0.97503459874116,0.9591074282814157,0.8106858299299758,0.6489201803994834,0.7149743138876024,0.6231999793143069,0.6356749434657355,0.6599529157051296,0.6804589597039573,0.7280254805046544,0.697372462443959,0.7824888254374804,0.82071372224612,0.8513320305290916,0.9759932487949445,1.0353440014104942,0.9870679072120593,1.2546054415094814,1.7894930988513398,2.4151207549049714,3.0037728675303748,1.8715153115031535,2.5307255369462536,3.1312395727840454,1.9016394902397895,1.993746810490448,1.1855584484648352,1.0583908511782205,1.2325647896651033,1.050629936233271,1.18256193127542,1.0352170695672518,1.0588799888367708,1.5640742070506244,1.2233808714119119,1.1453947922367078,0.9862203313070291,1.2363499935004396,1.1673085041107762,1.0368852883872797,1.2141412690150128,1.0000686659736389,1.1340905931009257,1.103754427811134,1.1995683303066966,1.4256904299266464,1.1705942748842635,1.3022846083240234,1.0138918522640812,1.2295885582576476,0.9514207536869832,0.8572174776420729,0.8196103956065882,0.8646955725330544,0.7581309227245262,0.8344858385504766,0.8494915193649932,0.8122335644473533,0.7734705800495218,0.7297832400081254,0.7877499877890234,0.7369951002731776,0.7818959542084135,0.7833097721014075,0.7674530091117436,0.9100493678352282,0.8554590231261472,0.6956731229207052,0.6660188434816383,0.726629588571816,0.7945365293772336,0.5983173964365066,0.6028113194307604,0.7477183750621798,0.6854070461560291,0.9314183578440259,0.7665644092209382,0.9610671264263049,1.0082080625535665,1.043456361694165,1.3133268689082636,1.4200997378393552,1.3681529705244588,1.195414502524001,1.0766036359370084,0.8387572627236412,0.6915700716346111,0.5915449105361893,0.573291980849505,0.7252482113417419,0.9460051344917613,1.7509967253713508,1.4353199854512066,1.0014967106932955,1.0292329392462023,0.8775067663615804,0.958882318707686,0.5803538371262954,0.5009350199601079,0.56912429252659,0.9513805823725027,0.8499136183707889,1.0406922561303675,1.1313617403575753,1.305553128465911,1.5131621970834699,1.4451918455836892,1.312317384303178,1.1486698988256256,1.0738127203657355,1.14731349516654,0.901169717831544,0.6466597874546677,0.9235557551017038,1.5284646370241233,1.1746145384891467,1.187365697996774,1.060016460182351,0.917796455878001,0.7537163820834814,0.7122565190734143,0.620981944683755,0.6316247525365252,0.6653607611930525,0.9105937084110111,0.8146898507971453,1.057149358896678,1.197286351698314,0.961351112490157,0.8190932935178481,0.6869162556523678,0.838050083287201,0.6832123892298803,0.7970790023016197,0.6913348456891195,0.6734868489728666,0.7500033103903415,0.7532140287901524,0.9343644788624096,1.0182985596807952,1.0328149249347736,1.2669845383496476,1.259883400273393,1.0315039471794893,0.9837812457047319,0.804931817158185,0.8006105728869334,0.7666889067149121,0.7399001765294174,0.8085157008364484,0.7312934715289562,0.8875748645370172,0.7913762235308507,0.8684787283421098,0.8319507528165809,0.9328593946732424,1.0473221600572031,1.155358514317719,1.1076563367458767,1.0241004742808149,0.985831606104906,1.2750836433241615,1.5363244507968123,1.5542089338114928,2.0733042084014057,1.6736414093848633,1.8734442497514059,1.7789924015240093,1.7824738340994954,2.0455880116096896,1.6988186316102942,1.7964636885284773,1.8031388096415102,1.6826886490696287,1.785753787599995,1.6359182853866958,1.5462829210308666,1.6849330094408352,1.7364952704640848,1.5338870937769822,1.5532249028225584,1.720964093245528,1.6489000362659212,1.5198648683781746,1.6417418340726833,1.7148157162783735,1.5775145970271858,1.5714934720264888,1.887293265134563,2.0106899381440964,1.9427299502171136,2.1288785972800817,1.9983570160962125,2.0941038166158252,2.342600199891425,2.9052171009842906,2.7261099499216352,2.314418384881642,2.3140403768091216,2.2891100061640044,2.2016970837222343,2.382826537184821,2.5160907303504336,2.2301374464168746,2.1997708262404063,2.5804782420462162,2.4987033641889203,2.2751546943478593,2.435521052149052,2.7724179582775483,2.476553269888731,2.2384977413663965,2.0240577853146324,1.865010152753068,1.9231506633225957,1.917243702581245,1.8936000092257208,1.9064019102323368,1.744344403061481,1.7561878832989841,1.7733160647754103,1.6539047942416454,1.6231043237212988,1.630324038937505,1.6094790779344756,1.528012232097108,1.563325095587234,1.6667700944801969,1.6135753123239482,1.7361385464676433,1.6673107190196454,1.7641439226362787,1.8194116804185445,1.8961088095476344,1.87074748966324,1.9995302236895827,2.128502708139571,1.895450124574181,2.038222998820252,2.2376232736591875,2.1586852855679486,2.0796237059782086,2.466997228086957,2.608354697381174,2.257928950084821,2.391371354412623,2.6934973132098516,2.7416372320288738,2.5405983992185948,2.17521375440177,2.804214596041325,2.360846465517328,2.3301862657229964,1.9557717841559443,1.7994363652348335,1.6659931224931894,1.8160828543363154,1.678913495809388,1.8315801329414578,1.6117353596701391,1.7349901234859662,1.4067364745470585,1.6229281187439857,1.148251247867049,1.306982514440178,1.3638400213108837,1.3806503708579998,1.4659182005012878,1.3309059310814124,1.2199846384397843,1.278969642680514,1.1898047765199522,1.2056907395246306,1.4801818637955928,0.9867742876572724,1.830517197592292,1.5075426563787913,1.9246853393770715],[2.3470091688168244,1.4843136075694348,1.4140755835057894,0.6631397234517721,0.9002599364917565,0.849291429399535,0.7193666863668274,0.7839419897495378,0.7072831749230967,0.5953207107317368,0.6050652334672575,0.6531728439295102,0.6248672327001037,0.6735912625429132,0.8032342691364525,0.7264247874413428,0.8023952475409603,0.9561533680625158,1.2740176892127941,1.1053742296327462,1.3490330895468414,1.3246277954825574,1.6707186311210032,1.8155438774557324,1.5390871898235008,1.4071069006250327,1.0880657727730336,1.0420389357760849,0.8848289765903699,0.7007688319327542,0.7968720266945842,0.6536656774989841,0.6807841571118032,0.7187973414427826,0.7329520715406926,0.7976230773233485,0.7287401153452965,0.8394778960445414,0.8723087271159009,0.9193113391482853,1.057114657273726,1.1443071714044268,1.116859898449204,1.3871030073426684,1.9514559796668762,2.539304152757395,3.15559188451379,2.007177493690876,2.4943587348468594,3.1735530214762915,2.050261056406176,2.0537338820642734,1.342213924735841,1.1696425768839374,1.3563978903367142,1.1990552097080642,1.2936368664002438,1.1411040809447546,1.1575234109608503,1.667460552733756,1.3554528818193161,1.267670078798606,1.0930942751324366,1.402066684764325,1.325772554494374,1.1617140472536234,1.3381061254551012,1.1276220226609315,1.2820448786857008,1.2364771652612023,1.3449979004993409,1.57741935108247,1.3277097946139975,1.448276773435908,1.1439413010163968,1.3874366261562152,1.0689445122884895,0.9523547036983536,0.8978520522692063,0.9639311821748893,0.8039213754628304,0.9059407613669302,0.8526648239272562,0.8785767333096438,0.8178107016376641,0.7614747196446472,0.8416885846775296,0.7864048757257867,0.8630630866573875,0.8611867402696778,0.8497026235018849,1.0427221905845039,0.9496355353132234,0.7744942635835164,0.7441051841795923,0.811584015970302,0.8737479854331469,0.6491995898893256,0.6460521918426089,0.7644927285884291,0.7066331733440407,0.9787330826877769,0.8009774169930599,1.03083295902634,1.0947507161243586,1.1151860716326314,1.4332561264013983,1.5738248695142483,1.4772318614927786,1.2646281269231077,1.11685908457509,0.8562399660244028,0.7117766203450627,0.5999465076431529,0.6219794145883556,0.8012817908624139,1.0289627225568942,1.8581557051257396,1.5780541390098337,1.1297877704856338,1.1662542374392335,0.9807997669487573,1.0685203065446962,0.6539323591439158,0.5397849428051117,0.5699478525299494,1.008165298067031,0.8570319639125293,1.0946594767641913,1.233116917779266,1.4145653194466088,1.678657963458286,1.573238550327762,1.461095352030211,1.230149370683358,1.1237118577585925,1.1394719875489356,0.9403064324130749,0.6595822674570546,0.9400722622680056,1.7312355227093834,1.304478147348761,1.31964323973148,1.1557160871660723,1.0115534594707674,0.7999860135028563,0.742116020098286,0.6378812184624564,0.6530142009191627,0.6883097406998883,0.9406412195964172,0.8484643063551199,1.1246923356997809,1.2714675209045105,1.0038690467679259,0.8446227995201545,0.7024280071407596,0.8745576416271393,0.7057073124047694,0.8237229082489406,0.7137926728931703,0.7013686616479382,0.7733002300099532,0.7814895756297913,0.9912684791297414,1.0473102630738638,1.059224024978618,1.307279049058541,1.2812035233778567,1.0173747110677909,0.9940502630162037,0.8072647121606983,0.8337187541725549,0.8072633038555983,0.7786231491690299,0.8423534840560211,0.7405349468170382,0.9385999519769527,0.8486093972564088,0.9432737790446801,0.8926295785186112,1.0002729980626992,1.157995828001388,1.2687824919834705,1.1634662248984604,1.049747573133873,1.0378828189444365,1.3405600235368467,1.5344274450250872,1.5543562436605791,2.0981053765451985,1.66385708579612,1.914202793504003,1.835075653246243,1.9047545022586418,2.205018880142284,1.8208337207296084,1.9611995611802335,1.9422868234410098,1.7752923625684132,2.005958693638123,1.828599605883527,1.6877940963475928,1.874729433870097,1.9847683337755424,1.7232182005872134,1.7106574079459032,1.9674666643270473,1.9095915466500872,1.7104674274656506,1.8677307756838724,1.9881226585066654,1.7953413027291203,1.7714335638983956,2.1492109967281126,2.2480742681174912,2.2634705492756657,2.4174763019810386,2.2997736527399164,2.4374286539499987,2.7526758461038887,3.32814514174594,3.2088713887329283,2.788812083769761,2.751208073827282,2.734841565687322,2.579515950707059,2.811348839080843,2.9622421221949815,2.5917834329861735,2.5594269373883347,2.9929033090415356,2.8674248380524126,2.5894154615383678,2.7983592915589237,3.128236703407882,2.777581919717689,2.430191529582362,2.2442806797467623,2.096010066921258,2.207130962247798,2.213485084045665,2.167159928302301,2.242159195646717,1.9738409226856295,1.9823007194694249,2.0592363526306654,1.910466665137165,1.8165931358733836,1.8834380608847665,1.8802860485136645,1.7604324691806317,1.797954684961044,1.9695686969355233,1.9019382095054338,1.9661067872000244,1.960355414140512,2.1034759624585786,2.1657280997629216,2.2642086935227788,2.1997475646400195,2.3895951798870443,2.5205129856574437,2.2154023688191997,2.39215642066091,2.6272430883917486,2.5044658243450066,2.375865215854629,2.869571673061349,2.980008643546817,2.5499742745260905,2.685380532132198,3.117784019221071,3.118030694666233,2.8261355144134734,2.3824435377341118,2.9787316608973193,2.4884586452793678,2.561599447015673,2.1428436269556297,1.9981500274077246,1.8243777854388925,1.9614625264967633,1.8119798850879931,1.933092006059374,1.7468501542034705,1.8772764744091701,1.4895166459164713,1.7132619002935765,1.207977163957242,1.4239435903538877,1.4700572675469394,1.5195844059353303,1.5244724843686968,1.4139046267631254,1.3363731864750843,1.3753347265427132,1.2621127400071597,1.3152435525684911,1.6247909333529489,1.0759965029307483,1.8295830720929753,1.5425752275904747,2.011273997814436],[2.283646163170322,1.51476221606195,1.5957222077808715,0.8878132158099522,1.1814369840493903,1.1545326437104284,1.0833995510911871,1.1639016480506665,1.0316706725740008,0.8815828845169882,0.8716386070062749,0.9606400575156605,0.9503042050483238,0.8384143223429934,0.9160596111186373,0.9591609766925763,0.9482597732061215,1.0216453305806168,1.1786010149042863,1.1440799971661835,1.3261224369917055,1.3505033846446703,1.6176365929720802,1.775502448126935,1.548800545868102,1.3621795830272592,1.1316330739153908,1.096427666988364,1.0206321052121632,1.0147186792248417,0.972411163302421,1.0477145617101897,1.0393679040580024,1.0380912839558574,1.080152241459368,1.0613495349488835,1.1175221895389835,1.1103392671491705,1.1449729466696643,1.2819131086228461,1.2451959324835227,1.2464678172346328,1.2479576285947995,1.3972848836154783,2.057714589647692,2.699837770089421,3.3610318392834615,2.152035496205476,2.584193984048112,3.325908147373135,2.2742643428759397,2.2322845996568614,1.556843034710175,1.4105823331326395,1.5508000236111479,1.3913756333179703,1.4229850292129853,1.3140360983856616,1.3392664444598286,1.7127488518794778,1.4184606636858206,1.3213120261981373,1.193355303464305,1.4007831674852684,1.3265088334290678,1.2443030820883798,1.3252746585360466,1.1128717404951758,1.1810511536236006,1.1037490885564971,1.2261313356295949,1.4174553468581217,1.160967545872871,1.3449410986474173,1.1145449598693387,1.270846658144788,1.1244235066008628,1.0996713318737028,1.1089992244313132,1.1764719378533952,1.1893640840569029,1.2692695560443987,1.3002087729099996,1.3539451417066795,1.2839892803026,1.185628221239663,1.1366932030997254,1.1926469150823251,1.0843390092335474,1.096198092407901,1.0163381166646852,1.0573970844646172,1.012244204006251,0.9576297196855715,0.9286273909368205,0.9241357634520105,1.0082084134691558,0.9631067030556909,1.0135127150072842,1.1930750374481875,1.1569928612476061,1.4242491556842645,1.2882773217459103,1.4877906427558907,1.5525230652978979,1.5462671087026887,1.8271248451749293,1.939636794774952,1.838656082928184,1.6415238620919292,1.4838323924806416,1.2740213565641134,1.1393338653041714,1.0201066252034163,0.9253508039330273,0.9350260163568079,1.0778179418994875,1.6891812829543422,1.4687353393221865,1.0981479296302876,1.0863667792599767,0.9670647341413217,0.995929197992247,0.8253860873756229,0.8583339665902466,0.9888521991369924,1.28486167155683,1.2801610285517953,1.4851385260061312,1.6281299636135205,1.7850934257535627,2.0504771554686116,1.9749070213189637,1.9040304981493648,1.6644453391227605,1.4876929997759687,1.5323019759671712,1.196706984219817,0.9227876529336138,1.0801412094872047,1.674405917105161,1.3050305770694042,1.2266745629555065,1.1687148233185445,1.0920750330164264,1.0399739894375386,1.0221332384738995,1.0384362907520475,1.1092788115125036,1.1108733951970433,1.370338678282298,1.230321301152884,1.511477238889565,1.5986529647053689,1.3209852211326505,1.267860179765387,1.135018064593066,1.3321738700011667,1.1483707902645082,1.2788049407830664,1.1894493332421807,1.114834374919782,1.0861984939105704,1.1602527665713824,1.2922855605132464,1.3113506377375925,1.4189242799460735,1.578562868351481,1.6337408367547759,1.3586045481537414,1.4251778073392525,1.180143881181377,1.2627025728671968,1.2879554482581248,1.2687557684373012,1.3455439966349978,1.2234124232833299,1.428320980777681,1.347079219482327,1.4450664404073748,1.3803688063861512,1.4836118649388232,1.622793339348837,1.7238559340451787,1.633994408543177,1.4954502663330826,1.397038187556482,1.6920029706973005,1.8234294139345444,1.9172796955961797,2.371912955614183,2.0182897013714913,2.2402139531008967,2.2048462459920084,2.2726455739450913,2.5230069910962496,2.1671383990878654,2.288046747575893,2.2319453777479903,2.0849519170869804,2.268203193307606,2.1002265844203896,1.971970100707701,2.0997607299578096,2.195336489700894,1.9459826144600259,1.887931975839302,2.1133994742733435,2.0790163225087226,1.8651716040463646,1.9665967225837897,2.0661365545824717,1.8920422936617274,1.8306254705615967,2.151911453943172,2.269909448418849,2.255782207445077,2.394529725688414,2.354324075678139,2.488212989428862,2.766722400150718,3.3580323910429977,3.254493252362577,2.8867850508166097,2.9043882940062176,2.9040754499830514,2.7723899437650337,2.987658761781919,3.094883747642133,2.7701756520077367,2.75959096067116,3.138238897905091,3.0059128244956113,2.787198360604461,3.0031733585134246,3.262671029456286,2.94495265015607,2.6733755212061077,2.4808958221904227,2.4000979281206187,2.4709363964406594,2.4535609638819174,2.4319549323087846,2.4783015515300675,2.275964875780063,2.2651076068132263,2.307730094028441,2.1845177232664037,2.0935401484283314,2.125273236705254,2.1096350919113784,1.989124367429054,2.000648178063394,2.1521222609550357,2.0787115930694573,2.116678341832421,2.0917498729362602,2.2257221110258287,2.2881553817597795,2.410214867783372,2.3834297134826925,2.560091763200708,2.6444379892019136,2.358817384419862,2.557878836655859,2.7372912216523817,2.5982062360837417,2.5165549590373804,2.973432788513966,3.0306759684807307,2.6230688999701877,2.79004719920076,3.1655909047545037,3.1096786597921353,2.8300119741307492,2.4218855496880303,2.868793209291366,2.4350529434042576,2.530471360768696,2.1723803878890724,2.0840332700128856,1.9363098009897344,2.0540926202926797,1.969475590113103,2.061396554470083,1.9589348826928865,2.042809976475225,1.7274641004856337,1.9877952926708298,1.5049049558034722,1.6791851013040267,1.7517304709648907,1.786374451933704,1.7357273757626381,1.6084534749111987,1.4881466915520996,1.5309868955555779,1.5143656414805013,1.5167965147230744,1.7313673088817598,1.3073424050096902,1.8682965084570853,1.7998223759877316,2.2481003470376066],[2.182338501873425,1.4657111934339178,1.5450724263864801,0.8218788502224141,1.061687682601313,1.0740389384685451,0.9574536222259357,1.0359919480356967,0.9204459630915046,0.7528165821485765,0.7506680953293413,0.8394986955748095,0.7817227089468123,0.7078178236548344,0.7752455354321437,0.7931700540163374,0.7911256377637511,0.883921282557645,1.087142819270662,1.022992580373986,1.215188795663427,1.2231397137044808,1.5387093675077699,1.7113357868994035,1.4563219830520975,1.2794447869896663,1.013686596774301,0.9794153713059268,0.8693024455473555,0.8175093015808976,0.8040638874034314,0.8418463332782489,0.8505566142736506,0.8410408918570007,0.8692422606546922,0.8622691186938608,0.8903948600377689,0.905732703561991,0.9406079875386555,1.0327390005653123,1.0729662962898434,1.0858094971315209,1.0738791253241944,1.304360449911622,1.962767853014738,2.6681226006655177,3.2927262386246405,2.0514158829414213,2.5793167515657025,3.30589516883597,2.1101663490602625,2.140595591708374,1.3285923085224118,1.1837564698077214,1.3899284633601126,1.1965676532212308,1.2933877432991516,1.1423879724495332,1.1621052193423,1.5837665174473161,1.2797508816695118,1.1909894298210477,1.0246170051223975,1.2529049999088273,1.2002438243839177,1.0878548793918397,1.1889322279992278,0.986014382367073,1.088347474193878,1.012394188101029,1.1209933237563006,1.3031803111386362,1.0704727017287645,1.2282818067312513,0.9954214440612388,1.1671098309279853,0.9762867741989091,0.9181996262063472,0.9153247797136074,0.9755010083591595,0.9479184801133111,1.025270458376199,1.051978854070822,1.0629638705614435,0.9974627283844497,0.9368317335581285,0.9210343235345965,0.9319060024634169,0.8920789109551845,0.9312672320640327,0.8461692456893724,0.923599080413445,0.8761023200285986,0.7897032596446832,0.7666835746259614,0.7857855357494495,0.8818443754494608,0.8074810818963682,0.8571331901244148,1.0501034090128782,0.9717739760532721,1.2460639407936331,1.0743337770784938,1.2766003131040151,1.3046182353964773,1.3159324317703356,1.6102510792659113,1.7122126528282244,1.6394961637523495,1.4473892272559412,1.3189158352688655,1.0736405236528868,0.9624398655581965,0.8085363967395286,0.75214711124201,0.8172990490727087,0.9804702650029723,1.7490354471296832,1.3792727443799304,0.9888787196371177,1.0070624307989102,0.8942897626415173,0.9571257832111669,0.7010836121578338,0.7212848766955982,0.783768821085309,1.155600777162129,1.0670315331981022,1.271557162121723,1.385202611762999,1.5351611101446054,1.776114127605308,1.644078179051164,1.5793672345298677,1.336253307141391,1.2351318403413352,1.2790852162010606,0.99073123732472,0.7556170333079629,0.9593558200516216,1.709881987636504,1.3005484028448817,1.224660281614046,1.1301832722229563,0.9875965910883056,0.8533935836393985,0.8318983387852431,0.8169010628913012,0.8943736416509012,0.9338945095995913,1.2088242086559178,1.1073900149346387,1.372983475562934,1.5114298331215255,1.2079667066105781,1.126218634527641,0.9793051556104074,1.1518107953486654,0.9631673792728299,1.0708296070775247,0.93643575928878,0.869449519434641,0.8816410939261283,0.9123841183227421,1.0934326983956357,1.1663529389500187,1.1881443160819631,1.412312593897624,1.3862167303478103,1.1410264205533411,1.1253391671267365,0.94912393251969,0.9858514557012242,0.9943718897597003,0.9892047839337204,1.077209346909026,0.9862018127385525,1.1706901518808255,1.0517923033749679,1.1588374807288702,1.0641277445153485,1.1947589607637408,1.2846037983849263,1.34895792235019,1.2828725581332368,1.176111506214339,1.1478125773503527,1.4095341861644144,1.6203312181557574,1.6170286491557715,2.0267648623739154,1.671204016747873,1.8826000466663804,1.8289489804220018,1.8929073421704585,2.17366467949298,1.859218458489545,2.02003608759271,2.0455624696486585,1.9142380866294213,2.101813374530505,1.951167954008226,1.8331212506839,1.981417342041414,2.069476634265496,1.8477974941602102,1.8145685649843661,2.0306874924951046,1.9854771516317538,1.8056293499851064,1.910557676991988,1.9965067674637176,1.8399554245064145,1.7939910795026324,2.0886808217053043,2.2080006035092468,2.16074813576087,2.3064035239366847,2.261265011303875,2.3664969071742616,2.6042132581225936,3.1166387839771383,3.0072748862513934,2.6383529579943232,2.6433615580750938,2.6287342385358614,2.5377249132348596,2.6972252423133263,2.802041034052149,2.5476252291264743,2.503795890553007,2.837689477605885,2.75233941027125,2.548232911257703,2.6849417111870597,2.9569751927883074,2.719257454045635,2.4243335640384447,2.3028430398424184,2.160579104645711,2.232034247195736,2.253330965643165,2.229523625142243,2.2761155196211837,2.0860318645826066,2.0880386002209814,2.1404156638893674,2.028298159683387,1.955346274556299,1.996995065301445,1.9887440574653614,1.8903707948305597,1.9122934888636371,2.0376868916879425,1.977901208286767,2.048815075878468,2.0036026359045915,2.1150544310184545,2.1699848094286063,2.259418797987202,2.230540822609833,2.3677153982857644,2.4668089436904306,2.23271475132603,2.385316483941793,2.550564464753655,2.4536042450660065,2.378698229506934,2.7536079720333717,2.828810279751934,2.5019166273264246,2.63576670220845,2.9177779919284834,2.8953918386560087,2.7067155195729464,2.3642914195578397,2.794368380311267,2.3988761363591604,2.460623360956659,2.143221738444903,2.040088598204746,1.8855954654812346,2.0112987055950566,1.9245875162716004,2.036040198257371,1.869371206925397,1.9621785057107821,1.612769790317182,1.8394610354402174,1.3572482627850455,1.5795974739384508,1.6334530878417706,1.672334079165178,1.6347098701614233,1.5277081312276957,1.4148257214144155,1.4617877605071845,1.427585741333165,1.4737380300106147,1.6723059910729579,1.233789269979406,1.8193937250529153,1.7444229814236591,2.233806588332092],[2.0144018113901834,1.446501247836119,1.5652326654109066,0.9246901045763797,1.1298057227289002,1.2023088572747154,1.1042433351281973,1.1424424085622042,1.1014744821802886,0.9892864841173998,0.9854176441470619,1.0506828928970162,1.0082264526784104,0.9796383043874984,1.0403568433442925,1.0577660825676298,1.096590583569509,1.1738378261658828,1.3657452206516278,1.313374490560628,1.4675682306107047,1.5016895820662206,1.7644085998564027,1.9348219949493806,1.7045282577128753,1.5432664373273561,1.3244870302585694,1.2609534735154122,1.1465950256297406,1.0736776784853368,1.077130557848821,1.051387924681007,1.0579189694146445,1.0754762166595062,1.098263124001344,1.1203409948502996,1.1036646785301325,1.1814355747059802,1.2052699611032536,1.2645989016027297,1.3604931965059635,1.3724557433966034,1.3513722414575613,1.6059462160944853,2.2036430090810115,2.9221512681387267,3.470621463177289,2.272462845027316,2.8342040185387036,3.4939936945692995,2.2471520607353215,2.3602699593953105,1.503421412971045,1.4213460154931763,1.5873328329529817,1.4226930662897075,1.555975666715751,1.384085406643825,1.3805917145417084,1.767457494589671,1.5051923679307648,1.42858740771942,1.264625765238342,1.477975456381028,1.4812882911361873,1.350105094282741,1.4299505225204021,1.2597554931630326,1.3644700108207763,1.262471594401957,1.3458417201322945,1.4783938179316596,1.2996980807512148,1.4461099369173047,1.2688669038454397,1.3725264542712738,1.2272635695910696,1.1618524556542102,1.1617783273821538,1.2159513778910165,1.1522906847867398,1.2338838965465209,1.17022426581624,1.1493766426293384,1.1568585676963494,1.125715459684989,1.1787000511597996,1.1255254353969744,1.1517403888678475,1.1545170529958904,1.1011571355432437,1.188396023914163,1.1478310717485576,1.0547405821231892,1.0289259660195518,1.0387462510262397,1.1106771356323737,1.0272923683391342,1.0501394808712772,1.162441146671774,1.1057189983794313,1.3072564584621011,1.1763562670863468,1.3263617021156235,1.3189025118658164,1.3365668207517216,1.5630058022907083,1.657195414387864,1.6071461357468497,1.4377613569659755,1.3640931268382828,1.1866922766411843,1.1187021844506964,1.043431828509939,1.0313595183205069,1.1231845888690375,1.2315347471794085,2.0066122135939883,1.5693627482562913,1.2365370822975637,1.2712313703452827,1.1636738595462701,1.2397638771782333,1.024905907581496,0.9984236113900041,1.05323022463109,1.3037346098180647,1.2034467563867173,1.3550000520763081,1.410483472836695,1.5114984470065853,1.671801450596676,1.534801862775549,1.4888565169437784,1.338239004222309,1.3584526457082167,1.3895234912761687,1.2423347461994747,1.1363661747434548,1.249614561947048,1.947709355238245,1.6575619638364045,1.5414602432377056,1.4367797226523502,1.32750852603248,1.1584347546141527,1.1469302748451597,1.0717873714095512,1.076257095726881,1.0994449565008,1.3048131765108457,1.1993151257541468,1.427265615981331,1.5643975812522497,1.2817275230648113,1.215795458570909,1.122725610510348,1.2431642458627867,1.1148155126098298,1.1714195264548595,1.1152548250825391,1.101295887317271,1.1599266071335608,1.1584947274382458,1.348978840109507,1.4471110521620465,1.4075507416588695,1.6215990411060401,1.5548914021911107,1.3808172377587833,1.2903842348286803,1.2046720191799414,1.1946500811770464,1.1548023823882383,1.1375249057362646,1.1734487274095016,1.157315458655367,1.2422966869668683,1.1590452195907879,1.2058525976665349,1.1602478884813334,1.239563415528821,1.267884082173364,1.3262864272159551,1.3162428370654669,1.2766693650019325,1.3624194849988802,1.5445794838029663,1.8098352499546901,1.6768692006244905,1.9729821085000914,1.6629833812338513,1.8158371537852505,1.7385328530492872,1.7366944930591355,1.9715582213026752,1.7597396899276436,1.8822650074095237,1.9412467267382514,1.8414216836875352,1.984906464321241,1.86467617697831,1.7847306664382705,1.907069540834564,1.9753321998053068,1.796957892167877,1.7858170325284937,1.970991166160842,1.9142572572175303,1.7760728054041104,1.8719514105564747,1.9367482773395326,1.8012279702210943,1.7663858329841622,2.0237940178692084,2.135897955132556,2.058748940051014,2.2245123694599713,2.18454969800035,2.2591954672252976,2.4405591296448033,2.8755909960040342,2.783266385282824,2.400258412231512,2.4127193928786936,2.36861358387922,2.3055803011501372,2.4082861628124106,2.5113390544196843,2.3441680176790354,2.249657226657148,2.511315349969363,2.4715958484127594,2.311216389356591,2.394403640391419,2.6505692877980347,2.480597011644838,2.2315183838859385,2.1593657649118865,1.9917987979770395,2.025513920584134,2.0855146941955476,2.0673384731355435,2.1016706156173837,1.970174284074338,1.968670865429947,2.0076797141615197,1.9276589723818083,1.8844569544275014,1.9077792720220383,1.902105798448223,1.8335132946244146,1.8584680519957164,1.9530620015662008,1.9019477523964496,2.003070103842829,1.9209251996497345,2.0081843687654057,2.059134436091686,2.118329753080248,2.095483801017401,2.182067289084106,2.3012156678638505,2.1228443289251233,2.221082503891521,2.371890151268604,2.317929015598472,2.2491587564718842,2.5365543355666356,2.6242148466468445,2.3866089701066793,2.4744815786102583,2.6578224341931955,2.6728035568914787,2.5670100145166606,2.316907040975486,2.735201546476761,2.4054392131047218,2.3880232773774055,2.098690255374658,2.0059940465761974,1.8513717542941455,1.955602105924043,1.9021051101216655,2.021120490568524,1.826865406442776,1.9285170405727605,1.610201321283005,1.8278262536675278,1.4005769676986626,1.577243436866451,1.620341993166625,1.6353243057116922,1.648296731660405,1.5540922612409156,1.3969469549346416,1.4705142035387406,1.513766507711556,1.3748207357741402,1.5174989265132546,1.2711030244014863,1.6799930387264135,1.7396830803851508,2.191881156020957],[2.6382280871728327,2.0845784704301273,2.1173525558865482,1.4512717317955353,1.5831188710399693,1.6988574453446714,1.5317231216731555,1.6190200963489756,1.511996206771908,1.235680933191956,1.2349403833807733,1.3705712944118233,1.2077192350442487,1.0580272736399619,1.0771729625743836,1.1305410680612769,1.0105759673176777,0.991457754269072,1.0517737308228121,1.0449993161326732,1.1935916473362305,1.1994381762848831,1.5140830841635806,1.7218268112142914,1.469301331922273,1.234138665356062,1.0327621628649888,1.0197752664534891,1.0190898501217394,1.1222697448090944,1.0641469454198178,1.2274769063248316,1.2428848553361815,1.1443689653304157,1.1565203599268705,1.0618561668050865,1.17979001294609,1.0650310062208104,1.0616302854059685,1.1981688595115174,1.136052660717161,1.1046432554190668,1.1355897307963854,1.2901040140903444,1.9743638220509365,2.756068941320832,3.358624998015779,2.0715751391676593,2.599299143499232,3.3821503213520137,2.1867508169258763,2.1573657734310148,1.405058954860627,1.2584749858375541,1.5100125340368868,1.279409750175928,1.3193628246966191,1.196112783160974,1.2224279157769922,1.60789057205979,1.3017022807058625,1.1935018526761771,1.1024504634668648,1.2519987234072316,1.1839382705625112,1.1412163529560444,1.1538993172516467,1.0124998996265127,1.017800017339839,1.0110378892355751,1.0654990203013142,1.19714914497981,1.0325576970793031,1.1499294853307724,1.030984337908811,1.170638540029548,1.0620533256822804,1.0648549243360652,1.0692536353322042,1.1044255002969594,1.1744549927822483,1.2162377671353213,1.3551990236256033,1.3532778104825753,1.2226510313371797,1.1861810308296947,1.086932245797344,1.1901377837151115,1.0520234640438468,1.1083441523731288,1.026627682625278,1.0907240547430632,1.0778197609508113,1.1228740351302606,1.1196118068388978,1.1322792723047537,1.209409713625256,1.2372900518051413,1.3573081313557052,1.645337428871462,1.4693123514964261,1.781171161968734,1.5244518893467172,1.7632458526339707,1.7064340361550185,1.7435684041914739,2.073871035000175,2.148909153248374,2.1219937231249175,1.9522898757590113,1.837426772490276,1.5153901517639463,1.464447933389816,1.2019179602435912,1.0623678225243305,0.9709023576587145,1.035336990151481,1.614976949575927,1.264352815972874,1.0101134422390112,1.0061464767846975,0.9717607304418363,0.9610871558626772,0.954260111568672,1.1286861016317304,1.1765632670543298,1.6160349632778817,1.5073261054097324,1.713473204932517,1.7732896325295147,1.8939847575257,2.1362873645817877,1.8863585492243884,1.8907601881634677,1.5924003674282958,1.5115690857547792,1.5875331317944092,1.23556917914289,0.9186087309166158,0.9664314764023897,1.5840781936469344,1.3082972991935622,1.1674867162406146,1.0986519924113345,1.0213334257269961,1.0000569162130415,1.0068221614081898,1.1465528788199684,1.3079099265234524,1.4248626391799364,1.7541930450250034,1.6964912119397713,1.9949157959881276,2.142552983013645,1.7844255781335043,1.7168065567001682,1.515398243763505,1.6864851248886608,1.4144390939655076,1.5021851957364014,1.259280917767871,1.1220045749909355,1.0243070884863448,1.0755050801599413,1.1936912739032122,1.278844866760715,1.3202248062683288,1.5872697557254392,1.5265469187468652,1.2762836449343393,1.266294328092197,1.0765330386960559,1.1555207722441134,1.2359739072682943,1.274587976358102,1.436694337994958,1.3584601244983447,1.542041973955324,1.3554609808564686,1.4749832989750198,1.3021884605411622,1.522715561321275,1.5406679609369045,1.5556691167471217,1.4758532990361903,1.3761445173840476,1.2949072882899926,1.5433186779235268,1.7192908550320556,1.7528047968004177,2.0727252566706453,1.7294451755684404,1.9079692261638637,1.8941883988383459,2.0183718288574437,2.3243322889454685,2.1036349519590267,2.3554326884802532,2.462539044894174,2.35110864190208,2.6305195591954424,2.512407440284696,2.3793446915300906,2.569563260200032,2.6836589984418637,2.488902701003904,2.4602796855287195,2.6848911929050727,2.660588852242368,2.4756386984869017,2.5866235481758393,2.681474253557244,2.5283907004680373,2.463784125106269,2.7212622836644145,2.810790565038491,2.796726320307907,2.864310295073002,2.871388350419087,2.962324656837646,3.1017584590519385,3.5563255559594933,3.416684402554771,3.127696382502508,3.11774378322141,3.080960264177989,2.9947980925419957,3.0745723684340365,3.164417511397936,3.008920955919917,2.9086051240876465,3.1255687476402194,3.101058443830596,2.9351777508025174,2.9638202926608663,3.1663208139974257,3.058953832098892,2.701378138293411,2.751550770853002,2.5844487745282487,2.64469663180358,2.7481357128748427,2.711379810594568,2.811765899637931,2.595930524961585,2.6120739916346793,2.71327958344824,2.6322709155272306,2.558296358960294,2.640701334327801,2.6566588274029455,2.57946762468402,2.6045531940687314,2.7127308129407224,2.672377726094151,2.729482201628715,2.6989483618389016,2.7863017672571333,2.824864944455252,2.8823256365918075,2.8344657091837604,2.9327328812118436,3.036595630034962,2.8519484045946384,2.939795389776828,3.06737630257292,3.009274754910002,2.925904924570454,3.1680802418346237,3.2233540691445817,3.0142588156648955,3.065405275085073,3.221715248004542,3.185841364589259,3.0743302997348274,2.8860924750364694,3.035852996624748,2.816284700465506,2.94098576299333,2.691350886084694,2.660848698749524,2.4860918333391897,2.5159270652335772,2.4986749231104772,2.601489522042244,2.503103503372357,2.566145256120857,2.1497968253188997,2.3002066647982216,1.8188675266426169,2.2179041435023135,2.228211683603786,2.3063814800728504,2.2130712044048404,2.1402665044485545,2.0892587205220505,2.1196942885442596,2.0259337651854095,1.8311024088930383,1.9464697143859453,1.8881244013468144,1.9209274676268877,2.0108196773113267,2.3180204579494923],[2.4467131804325284,2.0040745282424006,2.0571625840864685,1.58782954967121,1.689049251088221,1.8509042804935931,1.7358279985350868,1.7899425864949938,1.7413870043232904,1.5081692266836193,1.5092844085576553,1.6255602702316785,1.4611676038481043,1.3379365934647185,1.340920975773498,1.3936036632664004,1.2490701901356702,1.168359473485681,1.0902349002448506,1.1047377451610083,1.1290957071909,1.1474375466728446,1.382743636665521,1.5489946840759263,1.3412601232187662,1.1295690715386555,1.0538521951998854,1.0922394379807703,1.1739501647922632,1.3441897485624366,1.304525650881267,1.4565001926674979,1.4795996711831116,1.382674162480068,1.3671313117387767,1.2491828446087185,1.3663209423032219,1.1967042557931982,1.149148246295964,1.2538977118938437,1.1193670478329005,1.0942377839361213,1.1257449010952771,1.2117175207881843,1.8869024491823667,2.6889994511043263,3.242608278645566,1.9396200000836477,2.5365223178494283,3.315604695199523,2.097179384308524,2.1325854795324624,1.406389829542996,1.2866010741672387,1.5819953701780507,1.2814106386593653,1.256984607763554,1.2311004508915253,1.2453645998362983,1.4822920995627207,1.2319799434632173,1.1827217498105083,1.178186312617575,1.2060319266122508,1.1451544045578332,1.1683673381353683,1.1271786309929266,1.1101748454070648,1.0899155401839955,1.1504933183535002,1.1553277664596593,1.2418439267158927,1.1601010704834391,1.1753255945283634,1.1766710447119706,1.2673268132253395,1.1466886983683922,1.1985943720421093,1.1917621470633528,1.1788852827303475,1.3067650571340323,1.314738060546722,1.4850143242244265,1.4438117639466366,1.3071063409637609,1.309662039885155,1.1909155783529122,1.3487794954537806,1.1884175498851908,1.3000638759881888,1.224423894938988,1.2919438071271572,1.3083914458617918,1.391908815388529,1.3917023238519532,1.4089768774574607,1.4729800823297006,1.5055471050590121,1.606842493316649,1.8331925198191936,1.6688119287650227,1.9178961578320084,1.6876979626623085,1.877647446690849,1.7877174344436768,1.831568829859374,2.0826491656333244,2.138838806567513,2.141166960667499,1.9956643450786298,1.9429210437081506,1.689371135213099,1.6727843581071307,1.4446372548654016,1.3224699073700805,1.1699713780844134,1.146008423684552,1.6049812319141301,1.1812344417914447,1.1122678219427269,1.1166860139699952,1.1766059195851082,1.1269408448903018,1.2326125283671814,1.4153195426152705,1.433303470590414,1.814101404602981,1.6974546522553753,1.8511059697839851,1.8519799668958576,1.9356512317349508,2.091972139971147,1.86085104859023,1.886282000100594,1.6368603464221587,1.6358878248337758,1.7332383911338523,1.41633155167752,1.1179055162833182,1.0263464148885182,1.4180333825587423,1.253123963516119,1.0988153937407583,1.0759903217640105,1.062369226237991,1.1374295466433277,1.1800035095340207,1.3728753296919638,1.5182914702462253,1.6368836601096908,1.921203250810526,1.856358010124551,2.112752176418653,2.291378837578597,1.9451858229663181,1.8819205900327485,1.7182075012213003,1.854435255495554,1.6145550433499087,1.6588187795598572,1.429397561822346,1.2951216677566213,1.1234598105461346,1.1496160677913485,1.1733854032984972,1.2079953989316186,1.2820687692250756,1.474339459246707,1.466680762770486,1.2430828590867113,1.2663656593708048,1.1246065912592782,1.2163390126656808,1.343111063469176,1.406319668602751,1.5686753752288602,1.5415884391252783,1.668635971348008,1.4654992052253533,1.570318096182886,1.3730397336049616,1.61737937622067,1.5640952512171176,1.5416954100262736,1.499980439821018,1.3814590319667894,1.3179005961466406,1.5357186147699151,1.733324498579717,1.7293345412247156,1.9285534392309969,1.6992400563329106,1.8496808850449016,1.8551455950341935,1.9483995011878765,2.2004007377422745,2.0543943152919164,2.2449604730462673,2.3514942448306,2.2794790393414637,2.4077000504868504,2.3524138302855357,2.2974429578780975,2.3572266792350085,2.394991013842779,2.2978562468756385,2.259696297906574,2.342026177636231,2.3397354416115608,2.2432502567392394,2.263143714399909,2.299647456468269,2.249534857843163,2.193736550382157,2.3256416631202277,2.386104499190982,2.306094301182911,2.288825126426788,2.343485275135149,2.3939429436458126,2.4536340945267576,2.9303290688116777,2.7573824929983557,2.492303439632861,2.522031868861431,2.5181871039311057,2.5491720385819514,2.5609408650280083,2.5715992283777056,2.5512036395049065,2.4803956302212904,2.586030119527419,2.5499726260703772,2.511317367225571,2.5620054604617377,2.631603822445583,2.5360098053973568,2.4612510577530324,2.4815501797427233,2.3882519229665067,2.372030806750572,2.4404694139398897,2.463086205725485,2.506574313749889,2.4196723918688354,2.4254735280391535,2.443360953383002,2.418337861270945,2.4026744663813466,2.395938470787097,2.3909370339556815,2.3592911411805138,2.363344983223666,2.3651194954462516,2.3523482061120338,2.4807199867025163,2.325289083291791,2.357244465287078,2.3724337251783094,2.4255707536778557,2.440241408715074,2.4551827883295085,2.500838843535083,2.412799311151649,2.4820424440264057,2.4887405473671866,2.4567908852741573,2.45915468023514,2.545258435252177,2.5292770349581,2.4252328042054243,2.5114157000725217,2.479672396591723,2.4187293726651604,2.3656161708886065,2.3074454944096776,2.398971997664374,2.3034289901812084,2.3433462425409703,2.263491612411083,2.296484823413875,2.2369790794651534,2.2354545569087936,2.2475823409218885,2.2473382565612994,2.285413543157287,2.3192250439528164,2.107590830071902,2.3023067509510713,1.911454324759309,2.1863771384807493,2.194831879305335,2.211087983000504,2.173003758688127,2.1457765598828535,1.9773425234932684,2.054119780240294,2.117638583484683,1.7938512702801657,1.8590595765595666,1.969086837521238,1.9068722836832623,2.084602810408273,2.3809263609195375],[1.950477863735767,1.4042426355886124,1.4508254436035264,0.8370996226338749,0.9935896594901047,1.1047357220662672,1.0540835140278615,1.1248070865227615,1.054086318455576,0.9227802668101681,0.913785595286664,1.0075670451057193,0.9692349070486929,0.8671204897511569,0.9612845243079974,1.0100665862642277,1.010010518763838,1.1080644705805618,1.2596830272933162,1.2789852375664978,1.4485768918047193,1.4917831326291633,1.7730743606148816,1.9477495787331442,1.6970928159018273,1.480915599617265,1.2928078212611906,1.2027450195727183,1.121685582032151,1.0790780342758766,1.0338115576442812,1.1016212849677125,1.1172699261017387,1.1201371531378923,1.1596266358543,1.1413585910023982,1.1767592783997989,1.2152583118538745,1.252577898124184,1.3776302794285342,1.4088198756607113,1.3958558271056984,1.4284034675933013,1.6233307091801108,2.126933003365479,2.7993647953302805,3.3942081629358682,2.208114789972555,2.65550981261254,3.393890047320224,2.298522253909534,2.2843372485027227,1.6385734060342358,1.4808437237808052,1.717626583520472,1.5291062466626235,1.583162019544195,1.4693249181370882,1.4932129943704282,1.8328338587818447,1.5710511085980774,1.469067296781419,1.331319551386934,1.5350278613918278,1.4928982017841854,1.3807100709344493,1.3831989886319211,1.2104750490923146,1.2652511939236024,1.1481055096425,1.2304610206259503,1.3769210108881502,1.1834708176573485,1.3725875226745063,1.1993596823029773,1.3186479089192238,1.2341857393978606,1.2086598554477355,1.2377498742876443,1.3095590964842692,1.2605212779560364,1.3392967814841852,1.2716326075607907,1.3386381788415687,1.2875961068269874,1.2453697788406362,1.2574698476016632,1.2166791598671518,1.2014966887174503,1.2198225824084608,1.1095274474125632,1.154145140623711,1.0898658378847985,1.0486370607495803,1.007629251684632,0.9937156807155946,1.0732828040165476,1.0204201612453399,1.0374350338313392,1.1627008431675872,1.1454025389251752,1.3395661434237705,1.237302149693978,1.3771700497244994,1.3898391165305752,1.3744464089120842,1.640197946411958,1.7354961275833742,1.6481711356365394,1.4830467031268664,1.3609689321385179,1.1960657480209405,1.103747714309197,1.0080546029297943,0.949838984085275,0.9885032241126873,1.1494955874423003,1.7915301509466872,1.4418390650669402,1.1443429733035442,1.1033459176976552,0.9987688187799943,1.0110786169373145,0.8570239958503497,0.8821010681388453,0.9651667789910712,1.2286401256437958,1.1936406708426228,1.3738177377058676,1.4859637698933708,1.5998243721975205,1.819809027292363,1.7241487631286851,1.6729364918672367,1.4637862523362855,1.3683737877133157,1.3458636194943885,1.1956167424408932,1.0290133438396505,1.1446553595747984,1.9031131043904859,1.5895260552078594,1.4565891490621663,1.3441756636949111,1.2906220359063505,1.1369591680354607,1.0916006667995706,1.0638567211777006,1.0977274069770373,1.0896459236843523,1.2887230000487504,1.1892140591199745,1.4545469405286546,1.5744602234636786,1.2620627167324117,1.2227996834645485,1.1110627127763413,1.2546380953006668,1.1415060135632205,1.2102260443879442,1.1646665087045067,1.144359654294957,1.179003411640693,1.2287627921581483,1.3889180207666025,1.447936078442931,1.506847311302258,1.727821518744818,1.6463965255276514,1.4339505725927755,1.4051121477462685,1.2269882647573302,1.2842498830329305,1.2496235540216873,1.2386387572267874,1.2700877165594169,1.207966747697352,1.3569197049387467,1.3060631807912542,1.3450540404134206,1.3205627279749808,1.348743541226515,1.4387745118420414,1.4929521927648268,1.4883230545532244,1.4570044219889082,1.4749580387636831,1.6254322836588342,1.867126429892799,1.8169768488258622,2.1235591925026087,1.7798973877992432,2.008913522941562,1.9279468016859598,1.969804205659507,2.237728765544367,1.9363001813600282,2.057628284461703,2.0053967939624875,1.84971195268931,2.0232055747662523,1.857871425829026,1.7290898545299307,1.8429454984613394,1.9243105193519232,1.692519170589957,1.6350683828724575,1.8465425053444247,1.8021087969276497,1.6145283952407155,1.7148484375515967,1.7835940843155624,1.6360958335727633,1.6082795329714048,1.8789826028007333,1.9807854714968447,1.9499703778317292,2.104979848228485,2.0602712729745467,2.151978968471441,2.3688478532178316,2.9150536774448237,2.8057569953286854,2.434771562547542,2.457740901868704,2.462780093865428,2.3819572191746357,2.537044372447941,2.612856722223397,2.4359061545616916,2.3906963278735573,2.703096279066998,2.603142660066695,2.4474578461224064,2.6276216950762925,2.824361938796517,2.612170798357668,2.439040674017924,2.2388539703794765,2.133759835602261,2.1815853189268495,2.1628499703266195,2.143976734649955,2.170279543839727,2.043814157049124,2.016577724961006,2.0496619884629035,1.9567324758686047,1.8661953054907283,1.8667791538380847,1.849887388284631,1.7605772385023455,1.7691652062296652,1.8675685291440072,1.8082841007603871,1.8823098617825513,1.805482167843027,1.9149589780220544,1.9710005233421524,2.073762038021193,2.0634839932474653,2.2040276212808867,2.2621361483936955,2.0475056466118557,2.2302810589617983,2.3615555364860668,2.259829136966187,2.216412382343264,2.5476741635379554,2.5719666545627886,2.296213370876992,2.463241495944555,2.6942901824037553,2.6442720595914313,2.4489513833377483,2.164415248475698,2.5709142346902176,2.3051150274831316,2.2957937862142512,1.9873586274469228,1.8655942062996167,1.6656617432819265,1.7996525360240263,1.76897302904019,1.9090952505143124,1.7813455650564822,1.8375587163093554,1.4653726157702152,1.7509415834239086,1.3037668920571157,1.4583567168786644,1.5217579919175523,1.5655857582934583,1.521162956989875,1.3845345268985956,1.3127335604196428,1.3438686993638893,1.4305634197240436,1.4634665332471082,1.6001722539480971,1.338844045861301,1.6518755561207978,1.8626894597950105,2.4088000305330146],[1.4905016125030295,1.090970072072213,1.167097807909632,0.6509985535615682,0.8083523518731293,0.9066976462757066,0.9281842005505858,0.9939474860255623,0.9462735801350411,0.8673924004968085,0.8673701023115592,0.9207590082581829,0.911609054763673,0.8184878701311724,0.8731231735749608,0.9189640719674493,0.8784273297169207,0.9126416136676965,0.9875033823627293,0.9625926210576092,1.0638334046202178,1.0712958160057613,1.339941496087802,1.5030042153297358,1.2916664197782077,1.0815050547560492,0.9476109952478934,0.9462323272655334,0.9205207890367578,0.9416310214995117,0.9120823145346014,0.9707712217591394,0.9809533050024299,0.9583924603676413,0.9857233505265344,0.9494033543994429,0.995856825146291,0.9654128498527202,0.964308021394757,1.071155087280625,1.016321315534595,0.9873446893071365,1.0146556076921112,1.1298353418420628,1.7943859756961342,2.5392112996695047,3.077487965400028,1.8033492669020998,2.425402167896248,3.11169190519935,1.9169123449123322,2.012821935260551,1.3126051433645045,1.172529995751899,1.445542737390521,1.1321118505946508,1.1354137297532376,1.1027113968598563,1.1040320728991218,1.3977728611529816,1.1498894848819177,1.0754187071456054,1.0217555694085318,1.1326540198755934,1.0666622746134489,1.0448202916261469,1.0403973887206583,0.9305079192700727,0.9611887311773801,0.9178555080773458,0.9963830385979587,1.1356111999164131,0.9383532946451711,1.0694315730479598,0.9686164870304483,1.079921027014387,0.9685882192931811,0.963118975549858,0.9668756246248261,0.999879429471147,1.0296731845269091,1.0801763408255032,1.1176202650074676,1.1127699355067344,1.0366518439165253,1.021366731520551,0.9677402031760274,1.0192582991037575,0.9560213366041737,0.9931678700728481,0.9307376733323074,1.0031572903136385,0.9661355878252836,0.9377282003533002,0.9033999242265114,0.897841231681262,0.9718570135800438,0.9149041660526175,0.9334573108814693,1.0424359034452342,1.0273668102039528,1.1952278774877005,1.1072293095907277,1.212416905405467,1.210210959505875,1.2050775196105796,1.3913851129285268,1.4727457799253076,1.3644826606654181,1.2370935996277892,1.1515805835417823,1.0641184484795578,0.9931863708938065,0.923961687895703,0.8773607321657717,0.8671577990347029,0.972595681854205,1.5654156668317623,1.157139100370296,0.9351227984268374,0.9260311438465623,0.886774329168004,0.8821602515652642,0.7893836024897674,0.8225355666581888,0.8915370169526848,1.1074939336946759,1.0672459386244066,1.2021684174473577,1.3002580274861772,1.3831372943928189,1.5139008835812038,1.491289426115036,1.43409816848489,1.3134046152425682,1.2759580046661454,1.2322480097088735,1.0861156542009602,0.8710890600282972,0.8873486367909641,1.4683062590394025,1.1853393893628201,1.0553899321768423,1.0231364429781924,0.9478288748403288,0.9206207647927898,0.9192062845278504,0.9463117136958159,0.9784988216789227,0.9830742929247702,1.135380656004908,1.0430125205142446,1.2655331028030288,1.398936233034321,1.1145626466313783,1.0811505910795216,0.9874141311541785,1.1118598940883753,1.0288550524492874,1.0734070789269896,1.0074628076096936,0.9657073618548322,0.927918310563432,0.9550612220621315,1.0616579991195898,1.1216235796997858,1.1568095812993564,1.284395501225874,1.305374769422796,1.146268624282209,1.1385183626479514,0.9705392344548807,1.0237458850664505,1.0510594406132838,1.0524491462508807,1.1030967371246685,1.073483051195238,1.1794132473358114,1.0990605648973957,1.1442526043137846,1.0846705364826958,1.1776134322353058,1.2215474866819815,1.2887694906462488,1.276254809929897,1.2014013147394922,1.1739226645113512,1.4350702374578883,1.644209046041443,1.5889221482658766,1.8599435173062084,1.6037494994003723,1.7722251852287596,1.7353202767496205,1.7202000000189344,1.8905727751902481,1.7015639847312682,1.672334785374219,1.5715442343695185,1.4991537610652583,1.4821407181675372,1.3837178193329576,1.3227883205133661,1.2901921930242313,1.3198338287306814,1.1824386238098417,1.0980399190055663,1.2215256602762246,1.1852138746553191,1.08773043422803,1.1151463683016782,1.1359628472337946,1.0914542012617423,1.0995797822900415,1.2706842908144678,1.3438126514885314,1.2632906870067528,1.4079882651484315,1.3349892249471154,1.3956487657049397,1.5707432127639562,2.173290005524019,2.0284409456883536,1.6566090504489526,1.6918993725367188,1.6956541104207246,1.7000364991512933,1.824504309129132,1.8421995496832495,1.7377764849185284,1.7382681683708554,2.0270633302091103,1.8958121561901606,1.780486743122398,1.9508742220357864,2.086067709589403,1.9244839253755655,1.9092783014678867,1.6674788132862783,1.6522434979856293,1.636571151406006,1.58948884098461,1.6329362151212974,1.6037414025356673,1.609666657873543,1.535392505657358,1.4820796995505643,1.4620663128257083,1.4296485511268626,1.3165839278303717,1.2891458416520465,1.2587779109491632,1.2292435932957244,1.2457123509749273,1.2135053561619504,1.3600492541676432,1.169653574775975,1.2326725776416632,1.266932003270308,1.3651210383210344,1.4024069553702734,1.4895837988083458,1.5050269507799678,1.3563708081225734,1.522739550998767,1.5977528042690827,1.5440825867973993,1.5307802188250081,1.7643406844921579,1.8292825804263784,1.5869559113489546,1.7518616960933795,1.9040843235210727,1.8713189011680633,1.7145611794379134,1.498258034792621,2.0193656738919117,1.9105539883672642,1.6578579952290011,1.4123711845915219,1.2625557840774169,1.1439206808652305,1.3434172834631644,1.2818171890454104,1.3809481907263834,1.229664910652277,1.2724128478325218,1.07320342250966,1.4076387053803596,1.0727706152479435,1.0747833694486597,1.1968560606406613,1.2001521291789152,1.2566989096202963,1.0703172944868236,1.0111299078188554,1.026308629097456,1.201740968245321,1.4179353359737905,1.5477822923224105,1.136597789489375,1.632657940959201,1.8640602644204873,2.481258111053953],[1.4380260344092008,1.0247809012827283,1.1586296224067751,0.5269559929207988,0.6757859217251977,0.7366131747164025,0.7025159845880633,0.7316475055767135,0.703351006395126,0.6195309158016525,0.6164820803567352,0.660963275176155,0.6461610333867084,0.6266166557709479,0.7214128563011653,0.6991585094833299,0.72460628546843,0.8201029511550271,1.025241103515524,0.9332732960371299,1.0896840495992937,1.08911602902414,1.3622888260259067,1.5061436962090242,1.3093430663042982,1.1437152450377859,0.9233630971128165,0.9110339375493567,0.7946248843983098,0.6859991273513756,0.7197433688279968,0.6784572278640636,0.695103916473691,0.7067865736888191,0.7339075620196645,0.750272571181347,0.7313488025197229,0.7878004817671674,0.8133890217485088,0.8425814460036015,0.9408454023355975,0.9692033224529689,0.943712430234015,1.1788647405312107,1.7707691174936937,2.4731978366702267,3.007343853800882,1.8349240180460764,2.5514313878965074,3.1481587513750653,1.8620640701085331,2.025697945111564,1.1910511293480908,1.0473177817578962,1.2788069810612395,1.0321395643637183,1.130524526222845,1.037950805390864,1.0378789517500102,1.4576848722786206,1.155904292325455,1.0608416390501907,0.9363844753419436,1.1611590071028195,1.0781962336801736,0.9819325690741875,1.0750095176653611,0.9142111405131229,1.0005829336366072,0.9513618533856558,1.0412022320144583,1.208411647451101,0.9899186647667312,1.126939068549534,0.9327351591067957,1.094589891575062,0.8991505156329996,0.8390365603957266,0.8221669830122741,0.8786787209873843,0.7689391444005745,0.846128021205932,0.7829853118535688,0.753951243860876,0.729243867397331,0.734298777398474,0.7860298805806583,0.7597515197628959,0.7960710404905849,0.8205861701572131,0.747717461270658,0.8580389439500481,0.8155823057881028,0.7120853468589651,0.6899166843856216,0.7273682559380744,0.8324082563216115,0.6614949552421225,0.645245383563524,0.6973710965655796,0.6744735139119828,0.8127830553203694,0.7144617749340048,0.819966449417616,0.8052027394218371,0.8376466835776483,1.0225211884907168,1.1460048239371603,1.0641885295406766,0.907617173943849,0.8618909781691774,0.7185566569852779,0.6818691062472042,0.6255225897884945,0.6518828769711502,0.7600784185414261,0.9361366219979387,1.6838867488483988,1.2747983477515665,0.941822157488453,0.9591593593306359,0.859228456154083,0.897117877635477,0.6290096124416001,0.6002534003105314,0.6127128687699543,0.8999251897922389,0.7393448391506673,0.8746873954255543,0.9499058298590868,1.0750028550273678,1.191354305645217,1.16400836765263,1.0471602465307255,0.9603118610969767,0.9776512491750954,0.9603043666107008,0.8384066940584781,0.5909916807013882,0.9010430177661187,1.6315324105251898,1.196734001217533,1.1470049004173015,1.0754529083302389,0.8962893778212971,0.7566249779567846,0.7356738878158775,0.6461706838273832,0.6223563527674342,0.6617830687720069,0.8039047253868082,0.7355793707422894,0.9387307398780579,1.13319944978594,0.8855160393974153,0.7352752870160353,0.6535329315810638,0.738023531811449,0.6755872782816378,0.7043218097844016,0.6446533662665794,0.6717356611684243,0.7500931148352449,0.7279954709730354,0.9192131775277231,1.021982656237075,0.981980187870752,1.206749237286649,1.1798037208886414,0.9818698430475513,0.891142870508173,0.7615507109984225,0.7524191576340887,0.6964072314924937,0.6826655753538371,0.6978002230824673,0.7009773542305494,0.7752430307085691,0.7376616218899846,0.725633559392907,0.7338014481099618,0.7747325777949156,0.8394821640466652,0.9484505985363739,0.9360559944232284,0.9257148714175202,0.9610647252809733,1.199036391828635,1.5039566546268068,1.4078349201987739,1.8776365934847368,1.5570627922152025,1.6690193933739699,1.5642389330563615,1.491999026146891,1.6831530222064806,1.469590071698682,1.4435550240708377,1.403512641891455,1.3348764459011486,1.3003928833094354,1.1888225702787187,1.162357136592508,1.1835190667185025,1.1829876381336137,1.0768332864158086,1.073057382248596,1.1710662814631996,1.0860378707617144,1.0695369095895269,1.1198344252607286,1.1179561932619426,1.0907466352802193,1.1441019713362162,1.3153501565219567,1.412865344336687,1.2603072916935727,1.4515457634232567,1.336944635950717,1.3710401345320893,1.5560571368290785,2.1433962945187126,1.956367001764802,1.5702066667519585,1.559849102574503,1.5383647469657304,1.520304928431496,1.65620503250558,1.7284835140341177,1.5923324114396114,1.5678715454519918,1.9275904453815402,1.8238891612085277,1.6598470135562453,1.8307775949338678,2.0681045053984453,1.8917853234241948,1.7990343924319008,1.5437228389733273,1.4091800751110333,1.4155322444857537,1.389384865323677,1.4123626957247168,1.3714441675643578,1.3790909936034181,1.3115875811842899,1.2704358933082638,1.2414829466450017,1.2308232461679869,1.133510687622868,1.1137710943124173,1.1170669478328887,1.1101489098888284,1.1151058095270772,1.0958598777564883,1.2942375772351289,1.0768564066054276,1.112299266397442,1.1572630321065633,1.2206170269345855,1.2410833514011417,1.325730131192623,1.3916413061382802,1.258601990774529,1.3860192149140464,1.5162884628628297,1.4826616328334037,1.457842927063084,1.7192588336472732,1.8324425420927044,1.5955888156107323,1.7472807017944787,1.9253931564867524,1.9435167968833453,1.8034413426121982,1.5617781198086456,2.112625476804162,1.9497420987427208,1.6974224577242714,1.4792013778374096,1.2974775848346627,1.2009368142359618,1.4272139750835364,1.3250936409019243,1.4486792885347155,1.1948600917627161,1.2537141982751034,1.0306728557872937,1.2892662161965556,0.8850261939455457,0.9600458382873739,0.9921730773638362,0.9672598813280713,1.0705869375420618,0.9168969761169532,0.8515218934626729,0.8962938470635171,1.0750216168795432,1.1558818281885845,1.3080003129321862,0.9616805663654572,1.5504727401357157,1.7380601693829154,2.237318631555393],[1.1188281340252166,0.8947984515341225,1.1120027167705866,0.5994519794800726,0.6744120429340288,0.7875589509896236,0.7744390681832523,0.759548654369541,0.8101273962029572,0.7343635148470964,0.7293832142137674,0.7088198913837284,0.6952020513895381,0.6961925055103387,0.724141529266297,0.6989568921950277,0.6863251116387473,0.7326649960847579,0.8729978948638732,0.7892853559632987,0.9039211554799788,0.9122780314491102,1.1579633829115974,1.274462828725953,1.1276786237652208,0.9437200015094813,0.7708610079020871,0.779352543244671,0.7033896642507069,0.6335619030524877,0.6810904714356849,0.6409921465424987,0.6541789250312964,0.6493283174099234,0.6631608313470005,0.6670851000561233,0.6480903735957728,0.6799692777376907,0.696192008865595,0.7240024538990669,0.8099996546786283,0.8102838182594964,0.7907956093323874,1.0289171905141261,1.5805728295157233,2.2929507777836453,2.768504783257061,1.6382145936921781,2.5375001087788234,3.040649374151681,1.6813503875006997,1.9534864893787156,1.084106295955488,0.9542195223292731,1.1688372330691004,0.9180965312423991,0.9987822551405696,0.9132954498019411,0.9185786292917015,1.3380655146418206,1.0138507126161265,0.9177371335298928,0.8051163153070116,0.981023306005332,0.8969355414768567,0.8376443236596854,0.9011880399384034,0.7704413717751366,0.839610395124191,0.834623579753804,0.9194194849165068,1.0824171499460955,0.860289175885706,0.9718476346229403,0.8211498560108699,0.9924905383424987,0.7679850505381841,0.7319579233769162,0.7062857402402464,0.7552884304593094,0.6668898912385975,0.7329985262511268,0.7072874570537565,0.6317428848422497,0.628432976077047,0.6281527125660965,0.6784205717399352,0.6803458154105178,0.6885115507391923,0.7307025265359541,0.6700217710649884,0.821818186448982,0.7786859457384117,0.7004448131712137,0.6875088014971786,0.7403930201804576,0.8498733884727082,0.6510765702714569,0.6465109271294032,0.6719956093647824,0.6297300223923384,0.7286492214673934,0.6183973563751319,0.6835321666404129,0.6191089737188982,0.6662187309393371,0.7823221298457649,0.8825286294595035,0.7957295721076102,0.6982117227748686,0.7113594614541286,0.6441836088190303,0.699028859566222,0.6620204572961451,0.6928301826525738,0.7387748105358303,0.8436570666618394,1.5205214814916508,1.061102427479516,0.8161638296532766,0.8465681876793392,0.8079178742424199,0.8197862701457012,0.7293065949760299,0.7512095123396918,0.716105495738963,0.8807624562878842,0.6707413322603695,0.7032494030432481,0.7453974776024339,0.807540584076721,0.8645536356505726,0.8965070824277396,0.784816433458873,0.7646775999645853,0.8779412764630461,0.8216397845861024,0.7743272722112988,0.5117987425818382,0.7796465654755946,1.3032962052515842,1.040612891816231,0.9571947616606385,0.9058874517724115,0.7546990589873975,0.6559913891539271,0.6608688970534415,0.6221410131638033,0.5865675918507267,0.6734760314751709,0.7516715850096283,0.7194779157517016,0.8733900135947729,1.0732392805665805,0.873118624520205,0.6934470905081838,0.6396886675075613,0.6706736365073326,0.6301616082612063,0.604499675021305,0.5416721114037595,0.5815083284384603,0.6439631849531791,0.6202306451855368,0.814132050561879,0.924153487060159,0.868470187793937,1.075153152327612,1.0916634436398334,0.9331356162325547,0.7982725711006137,0.6782063217175046,0.6422083618098621,0.5647487023744829,0.5528648429742938,0.5529166709325346,0.5994495390695851,0.6303124388935256,0.612688482926091,0.5727200577171999,0.6181319206695428,0.602968329507063,0.6670948662978486,0.7960216771593134,0.8036224905976865,0.8218322913661624,0.8560714997765095,1.0871028888437786,1.4607553138609433,1.3396289224225637,1.8252296974458233,1.6420769729860856,1.5859856048698928,1.445371666287896,1.2639847414128236,1.3483621150519263,1.1784465983067796,1.0926903269611414,1.0475135358994612,1.108094515166865,0.9214683734333314,0.8829801663308544,0.8917790325283809,0.834380318664607,0.8138161490690675,0.8343824337026472,0.8203378490940728,0.8530943948199469,0.7899196529497398,0.8800233784492263,0.8745750022543866,0.8493533991335184,0.9264504088324058,0.9956532790963974,1.0660910791675557,1.113682017185692,0.9655399209769361,1.1313463125725542,0.9844873615651035,0.9885502467911557,1.1273911142600233,1.8126068151909938,1.5283130722378624,1.1933056966349382,1.1323785720522814,1.0843336682394134,1.1000073352282411,1.2153933811931235,1.25309172721511,1.1604428042641404,1.149788407527966,1.5220411083370737,1.4220481040678892,1.232582541221045,1.4182654454660453,1.6556558620644102,1.511952629142602,1.4469647134556867,1.1492416431501609,1.0213089673212097,1.046704714684283,1.044472048541177,1.0898402135842842,1.0496857907494592,1.170179713136097,1.0232271366083707,0.9576150162100314,1.0066405986798117,1.0198084184098872,0.8420837896303215,0.8744786622354382,0.9673302132919548,0.9112109355679969,0.855376301116432,0.8864634087161593,1.1223652634873185,0.8073546953886979,0.7843239995360892,0.7933397287012667,0.8244570967617865,0.8519089583810957,0.9049437338297228,0.9387050536725174,0.8651170771634468,0.9426061021062546,1.0668169851940554,1.08509842138669,1.055332118923318,1.2541556795530138,1.4300045158806207,1.236161432931111,1.352494866027895,1.521067354735708,1.565424426443245,1.4509576675245213,1.2636493326954128,1.8521727329669435,1.8198998176388899,1.4068723775020615,1.2367818118091138,1.0220742717250462,0.9692081011961615,1.2205727892697091,1.1123834537066708,1.2483665535990158,1.0594468385668847,0.949346168101859,0.7988253677381324,0.975923070450654,0.7131034562589933,0.8331348639215304,0.7673715822470866,0.7277389849615781,0.9388712709169532,0.7631072885937046,0.7687562862031191,0.8077860082966061,1.0658837430453045,1.0233883983492866,1.1055940162744797,1.0375504912289975,1.397013729870091,1.795804562703757,2.17154549462573],[1.3641683347164844,1.163388258979766,1.2313013763377119,0.8666903408010026,0.9515397200905588,1.0480123903376912,1.1214430438270335,1.1434730564387232,1.171375707847946,1.1448309277420117,1.145328009058328,1.148711235266632,1.1587854404229074,1.1031582573901848,1.114867382084202,1.146942940140796,1.0903885667441626,1.0866924007054473,1.086077166229746,1.0611143182111225,1.0803212763177028,1.0909129504056423,1.2634097769774273,1.3703366818007878,1.2485577540600017,1.0602858531193833,1.015601735293601,1.0501199874047749,1.0786326996601272,1.1310414287713044,1.1186586756913472,1.1507259055369072,1.1584888151575499,1.1331209682738048,1.1361017518711827,1.1071448869641776,1.1263170317389666,1.093241729703912,1.0501026537462974,1.1120793991943188,1.0427206993461922,1.0108593035461084,1.0469288170070132,1.0636855705706272,1.6671408479036418,2.3869025470320566,2.818856659577564,1.5879968099780737,2.3819821118745086,2.9392798696917843,1.7393737520193824,1.9216078179534977,1.3289394690157705,1.22545508270668,1.4650031077209547,1.1273034849567833,1.0817168291499326,1.1028369877125765,1.1009845716827145,1.3095223012826258,1.130785271455198,1.098924569248181,1.1090620794600878,1.1543540718441527,1.1248542558430732,1.1152904015082987,1.0940604346597007,1.0503940573894877,1.0607905077019626,1.0584484658207067,1.107698418402372,1.1971089544401101,1.0586254843473963,1.1468161562318413,1.1074747665947744,1.1878568023647826,1.0725284099419696,1.0828959292451006,1.0600019166962142,1.051015293590899,1.1056166378638543,1.1093759130008833,1.2012979983178629,1.1201076815386255,1.0620485967297335,1.0860372846428503,1.0507256486615248,1.1217870167276862,1.0780513048413969,1.0918503168944789,1.1034594624836613,1.1935737154693544,1.162937246204633,1.1585941308530652,1.1379922390832278,1.1327738331099597,1.199016690574558,1.1192250276269442,1.1308752046468782,1.1559682409827465,1.1546140022925448,1.2441665495180607,1.1770335528992917,1.2156188396768945,1.1441624704601177,1.1434857005005163,1.1770248582985048,1.1969039823062908,1.1141352929642478,1.0851236830546442,1.1096681551647383,1.143791725543459,1.1685153493871328,1.1664999668979492,1.1368943331089538,1.08059311742861,1.1028377821160642,1.489301135958715,1.1201635830050234,1.0566564510324885,1.0644427202641966,1.0785538877460663,1.046213585051126,1.0815107111670403,1.1137753248970617,1.1826885909173264,1.2472743527940795,1.1831327344609348,1.1712626459743183,1.164321404983398,1.0889172512302197,1.130437297401971,1.1975419240537803,1.1877912441557252,1.1935912445849568,1.349462716236871,1.3254689251938694,1.2689645542770998,1.0677248506901613,0.9506136148766869,1.1054775568589803,1.1832130646352674,1.0030217623690034,0.9818578721373535,1.0185108612367109,1.0647452742826469,1.08873320713309,1.1527994743021666,1.1426170931678292,1.1665819658955257,1.2237790506006492,1.1590424602011606,1.288537246959064,1.4533046036182502,1.2200206055970881,1.1679842873660187,1.1365717295348159,1.1937005217192,1.1650913498301507,1.1374712029119598,1.118470088619096,1.0975064453701249,1.0298527933734778,1.035272873721145,1.0707453967555816,1.1110903260445273,1.0892857919944228,1.1230813346097628,1.171368854238203,1.1211686689950187,1.1104124380452682,1.0152103833485329,1.0546957309048834,1.0988418562014879,1.1096212850853453,1.1374753602318022,1.178024069311745,1.1962680454478012,1.128756673502827,1.111383975915013,1.0695194397431091,1.1511843491277696,1.108621109985193,1.180863815121397,1.2262698933598672,1.1959765298205776,1.1879971216396288,1.3942092772045354,1.6669854684760048,1.6204842882358286,1.7476839980513283,1.6038978098526675,1.6426568522705005,1.5828548286358857,1.4374418577565207,1.457731308859317,1.290630268585161,1.1745616964297916,1.0718123041949927,1.1792223670738684,0.9834295271881067,0.9911559283355251,1.0150365541482913,0.8937634746247524,0.8899063069323178,0.9063042792471657,0.8840915803563438,0.925680975777685,0.8662966390695748,0.9394378226835793,0.9446076676267467,0.9213732996224502,0.9691207343281153,1.0304256939675447,1.110370472195495,1.1276572951074715,1.0607269018862757,1.2070389919610902,1.0500624460038774,1.0578174292674212,1.1464570382364776,1.8109062996944545,1.5803886791954893,1.2494304801991745,1.1930129496358524,1.132983561154013,1.158352434313858,1.2522856257380643,1.2656392580868019,1.199368169046694,1.180014786410579,1.5017800949120574,1.4153298288392153,1.2295174876333157,1.3987179303958743,1.5926227470831935,1.4932804284114511,1.41680177869622,1.148422558668788,1.1127568823766045,1.1130267632956916,1.1073307533338255,1.1793724422490297,1.143140398682222,1.2720388846568704,1.1267347338620461,1.0524967897017292,1.1173587357872543,1.1321948754843576,0.9283191372360388,0.9466084244757733,1.015672201243745,0.9729963868134176,0.9229323172562314,0.9438679487920022,1.1452567422701314,0.9080945685837002,0.8928604598499538,0.8957895667073833,0.9201901379019978,0.9311523733450752,0.9791029651227218,1.0144151205473806,0.9422492364617013,1.0021865151049534,1.114917737197985,1.1549625053770698,1.0998025125197364,1.2628964722606122,1.4681046241742943,1.2946954543710918,1.3558609797165015,1.5110246456413883,1.5749302873100757,1.4757404060324137,1.3490582789530645,1.922580587118817,1.973361727976198,1.5061280109088748,1.3146704896921289,1.112597473569818,1.0387450275002215,1.2853617609059007,1.2254399029563359,1.3531339765751147,1.2589992126905456,1.024521464959041,0.8999312908352737,1.073706871240655,0.9900710519371664,0.9610783925825203,1.0448165660839062,1.0034455689284585,1.1840992302090847,1.032935397046804,1.0391747865496195,1.0250257971632524,1.2572754804016801,1.4604736652012138,1.5480560728496695,1.2076568189738106,1.6398939756100188,1.948890644916217,2.482094831313455],[1.377537417614535,1.0477531681364676,1.1535033394609817,0.6522841791230365,0.826268189244876,0.954593871699286,0.9820603727264345,1.0615440303564618,0.9917929736817335,0.8886127936941509,0.8898666157018515,0.9731770497097635,0.9364936188708725,0.8129780569643797,0.8587200880012729,0.9332039211202229,0.8576896275162974,0.8482464694755915,0.8656799007107466,0.863691128775758,0.8971096664530303,0.9376319778358131,1.1186320085755674,1.233447897886776,1.109814739364032,0.9007522817447023,0.8315954441536164,0.8405930131141031,0.8784693544414053,0.9520001776273073,0.9027402034171408,1.0084965857268244,1.0175711893810588,0.970706472426812,0.9905989118810575,0.9234450751811611,1.010398525284706,0.9534153258664055,0.9210704440531915,1.0668371899661464,0.935795257082931,0.8649868484013211,0.9319745630257285,0.9835502759388103,1.605145916370064,2.364957181217674,2.8022438564878964,1.5643556554644233,2.4039763647311765,2.9405522898207868,1.7146622286490145,1.9241860747031654,1.3255576086107088,1.2023829351312265,1.445633992377447,1.1006463276398677,1.019146722946954,1.0295350938735919,1.0483342668127675,1.2485359695091334,1.028228135446412,0.9793544213100295,0.9448207911359264,0.9910890713532358,0.9532424985641812,0.9466799586107337,0.915824361616068,0.836383613507705,0.8551933989592212,0.8364086354367083,0.8830478503508581,1.0003532880076427,0.8477609331443408,0.9531071410827772,0.8821957978098464,1.0047255371833075,0.8801626565283035,0.9151114365422591,0.9176836469726285,0.9419503904309308,1.0466395107379436,1.0850522058077225,1.252738853640357,1.2041273319003833,1.09245023394917,1.0421606454114227,0.9435015502183343,1.0468796907478581,0.9170264248952125,0.9654150145797863,0.8937384026759059,0.9864208380764582,0.9409718016054212,0.9458641823667091,0.916544287935107,0.9015874724411106,0.9767967090783995,0.9532211807804513,1.0016281607839643,1.1427963413502116,1.1138295262677855,1.3396242875774647,1.2153232001634522,1.3739040096636095,1.399550434791462,1.3973083733318155,1.5470747813515382,1.6401909707807976,1.5500786885869111,1.4005476864487354,1.309618809615594,1.1944596309901017,1.087016788626745,0.983531780763781,0.8737665880956414,0.8114091659634014,0.8802987933804236,1.4899144166276554,0.9899877972723126,0.8244404824663757,0.8314670729583821,0.81542803386305,0.8110724457222801,0.7657930146316452,0.8396843140396876,0.9492802089559823,1.2169077939865531,1.236053302858627,1.4001840485479151,1.4775963978120237,1.5583756518476526,1.6561357866396043,1.612911994654346,1.5710843294916816,1.462886503377907,1.462878427420611,1.5571392247487428,1.1847021783935758,0.7833655998737395,0.7932000190498675,1.131131142223078,1.06768223229573,0.9088549828137914,0.8664365150466725,0.8393804204442953,0.8785342309591871,0.8886381574095592,0.9857977784391214,1.0713344527109008,1.0684039345563034,1.2851403125336889,1.1254590622131355,1.3611537618408098,1.459897611469793,1.1931415675008916,1.1854805898785798,1.0833657890550281,1.247555062344599,1.1180419569604796,1.210709783349854,1.0998656336692272,0.9979872897280238,0.8943889026437292,0.9451187633526429,0.9725410501311369,1.0030357224777273,1.048463676198317,1.0927712039217963,1.1747462074590558,1.0671350474719519,1.1205234089746445,0.9355623765038888,1.029660121445468,1.1289891008071418,1.139292248651179,1.242197816530653,1.1770551450660758,1.3106984458653137,1.1991660549020509,1.2704866919117206,1.1664051225848266,1.341170570343246,1.3679290196044829,1.4252392975065011,1.3825208586113897,1.2578501633726256,1.159244053718149,1.3947875635491767,1.6273985858131554,1.6396735785397305,1.7576430801427905,1.6508325614199935,1.7430983894698384,1.7582897700952873,1.739546264341745,1.8579785586529576,1.7865657107829434,1.7148313135161997,1.6192125923253011,1.6847281485619754,1.4794112924452445,1.4782315943102189,1.4693330371815838,1.29778481346455,1.2883511662651317,1.2351535561814004,1.0660568401883423,1.1306704404480261,1.1422003657153166,1.0597820855622966,1.020369264763903,1.0286261393315337,1.0454425582524882,1.0264150433640422,1.1497344852382398,1.203841996960362,1.0888506333370955,1.2045061405246187,1.1391442523780297,1.1817170778093153,1.3293163890856559,1.9419438002784344,1.7126881944188472,1.4258361453940147,1.4247758147094889,1.4637120458614916,1.5731265779236643,1.596764322908841,1.5679386195582723,1.5353903842260257,1.5710079907502124,1.737290206510718,1.6369113857551525,1.596370891581811,1.74900137570387,1.7623961218261428,1.6347683693209534,1.757436958576036,1.567018672740951,1.659335561076298,1.5804374294728911,1.5490905095925815,1.6906577347104454,1.6194085481609763,1.7138263280422317,1.6169067133965318,1.4729525411251054,1.535840804701625,1.558250172563766,1.363572060487985,1.3341594519088742,1.339255525927446,1.266068984176006,1.2332963206094958,1.2158381408890224,1.3650781091917317,1.0823733820424983,1.1026307273713174,1.1204136693674533,1.221010592361427,1.3210082848884637,1.3222342711222006,1.2901703617693518,1.2165065984720775,1.3486851521662997,1.3523846388009233,1.318628663382525,1.3483139561879118,1.4867902942744433,1.5380097686383536,1.3643510587553291,1.5126189209218888,1.5824396319902925,1.5794647426442756,1.4788971306806127,1.3139948090154066,1.8484510848221078,1.885282935047822,1.4542184054642369,1.2646239420885725,1.1081488501577461,1.043117861367925,1.2410165527808525,1.1506269916102467,1.2686892539982189,1.1010707647608506,1.1504697714482202,1.15323219802328,1.5983056456261184,1.2476289967148053,1.1609912830845488,1.3276857972974072,1.2488479800281858,1.3929618453988182,1.195017948335755,0.9890164805915668,1.0862464342522387,1.2894865119041832,1.2891741506040422,1.396688535003044,1.1274842044463493,1.5568629808430312,1.7829527656252135,2.2594104292067945],[1.6566676744247675,1.1650168569432129,1.2392881592636993,0.6699652929338635,0.962457866031851,1.0555766209913169,1.047542290643,1.154791746475199,1.0436406892119696,0.915267086175551,0.9238153408483798,1.0518123310215612,0.9879195162446289,0.8208331218294127,0.8848143547675247,0.9820605002999152,0.8791312092996295,0.8561038988120452,0.8503856963913443,0.8751890331072311,0.9005916976324184,0.9572611767682208,1.141869890113326,1.2692561512948186,1.1290221061255359,0.8989751292619794,0.8416595575063576,0.8441728977097501,0.9041362838430235,1.0144169153237228,0.9486764262827867,1.0912464546929959,1.107505172838186,1.0528717783585646,1.0690189074227965,0.9809613588817634,1.095827328275287,1.0078881315762815,0.9696034869829834,1.1386782144742873,0.9647314376439509,0.8946371279580071,0.9834562108146866,1.0242853492563984,1.6669571721049636,2.435794348394543,2.890557851954095,1.618638651665753,2.401459001061648,3.0016530830310773,1.7907877384523545,1.9797293171866837,1.3820435396037045,1.2438430577450246,1.52792499171113,1.174617448761581,1.077047742317247,1.0920818005723614,1.1203633741685888,1.2915311271862555,1.067684223975976,1.011281452529439,0.9886028920671024,1.0117106488953234,0.9835200544846565,0.9767769947055706,0.917232309764995,0.8421165613485585,0.8309721001429725,0.8211492237645248,0.8559304078832423,0.967706823820774,0.8314334251199588,0.9250211070250841,0.8872499434860832,1.021425003369248,0.9105968344137833,0.9662962667301986,0.9820302616716475,1.0114585260239675,1.1425257039310102,1.1811138344989787,1.3465352905664556,1.3057345310464297,1.1783922549588304,1.1290861155675567,1.0151226193177136,1.136203889262473,0.9741617499583628,1.0389021565064702,0.9492133868138954,1.0283835894655329,0.9845192424501813,1.0078590514167318,0.9746960604702936,0.9495000041018059,1.0134919750696345,1.037157460669534,1.1019007176150188,1.285210436455455,1.2308077910260435,1.483023741991429,1.3439517000697532,1.5247884982460986,1.5532749883737988,1.5472340287885895,1.7434992294321523,1.8294167050639731,1.7447626943472934,1.583359495154947,1.4612496487081896,1.2906751612952565,1.1637789019902762,1.0231811584743746,0.8917798220857831,0.7993810117028664,0.8621742519339217,1.4540430430785343,0.9619321730524563,0.8058966484871548,0.7894649595550728,0.780591520754582,0.7577611270017846,0.7380989156022818,0.8389107327048196,0.9667366579504464,1.2996595282819348,1.3123489263317982,1.511136485355361,1.6027540305663055,1.6886486178500801,1.8297399816430835,1.7224458555897775,1.699648107102903,1.5286095091520848,1.5006871944617006,1.5716674970401583,1.2023540140708242,0.790711073327547,0.796613756723427,1.1193570583748247,1.0500175598630876,0.895490328975264,0.8545719613794673,0.8517874323014933,0.9085487528512843,0.9120148222760283,1.033176065842628,1.1444274110229573,1.152188874479808,1.4067816018154686,1.251630047679256,1.5100640520191813,1.6053464189022149,1.3297022428573388,1.3256069041731202,1.2034438457710819,1.3852631520801533,1.221325217037822,1.3253752633007028,1.173682685506074,1.0593491486920685,0.9277736081017168,0.9945261260359314,1.0012093752606621,1.019420097405048,1.09219346844566,1.1634338062031353,1.2282694903670064,1.1024235861786003,1.154607533677664,0.9597159411831767,1.073975133003975,1.197261382270992,1.226733835178907,1.362021319652726,1.279251334510279,1.4532275186811958,1.3034419666195372,1.3965311951844679,1.2531806718663645,1.4483542502970632,1.468540816578004,1.5089646169640194,1.4437398256064196,1.3189805754038064,1.219203201050407,1.4687520216201053,1.6646259674090773,1.6803233649923917,1.7383818739172996,1.6036495569510514,1.738636519424517,1.7636070290209216,1.79759119073306,1.9697518911660883,1.8712837472523043,1.8920814282850869,1.8696968090406614,1.8625172326958304,1.7633188685432366,1.728442883361489,1.7017475773961324,1.6038648211141153,1.5928270558319417,1.4860888122143323,1.3357782060768992,1.4126587673309945,1.4170975824771264,1.2691618176659438,1.2390662341009058,1.2664437744155486,1.2344674977727281,1.156861140543809,1.327304403888655,1.4041981491431772,1.3048183899443402,1.3810388811205798,1.3802528620296477,1.433764237426612,1.583763600780923,2.133756317241528,1.948156241975271,1.695594337354557,1.7179511617745813,1.7549229968032565,1.8447244908928424,1.8702217293624155,1.851351515910314,1.8044703016583552,1.8430506379067717,1.9860568836169028,1.8915560034786956,1.865824783779605,1.9405341838671797,1.9764122296322677,1.8574963002406344,1.954465245167334,1.8526946010247873,1.8856554078249825,1.814993154240278,1.7986496128633829,1.9103153820896885,1.8536030246691892,1.8807968247303206,1.84348599839886,1.739117430152124,1.7503663085127534,1.767153553862033,1.6254775612951609,1.5733880495380173,1.5478500739635839,1.4934584785969451,1.4749197326047148,1.4468276508464735,1.578891197898572,1.3431140096304155,1.38735789574473,1.4153846190557262,1.5263604044613628,1.6212403665089523,1.633660061134323,1.6135338332479063,1.5204317944778503,1.6636195624209138,1.649370502710187,1.5951963639692892,1.646082866791759,1.766834284779822,1.7927965891878324,1.603310775836099,1.7607162083144732,1.7737912477244613,1.7494311840397605,1.6450262228226824,1.4513907185789003,1.9204221374930601,1.8857966618058344,1.5800683878801873,1.3561076881006218,1.28359294097551,1.207579557560236,1.2972394790251291,1.2501682683062383,1.3087158224927047,1.2087950441808388,1.4661710420532186,1.4233884889734656,1.8461492331498048,1.4217508899259392,1.4091423195965869,1.5614663049942064,1.4991629306103558,1.5610740978505482,1.4362547776845067,1.1877781123804638,1.27239436867367,1.399731113762447,1.4390460995798728,1.5897799541417643,1.200006963184609,1.666327285157844,1.7508922786795738,2.318446923533543],[1.7473549569453224,1.339832730472073,1.683461239203582,1.0495434121308722,1.5400428078319,1.5514347174566436,1.5072517301389101,1.6140295149882764,1.4737708784439187,1.2953344804292284,1.294350441514317,1.4539208564041575,1.3622084901294893,1.154071677938799,1.2120939677233067,1.3122829939753347,1.1704896207466482,1.0870322443437928,1.0040659146361124,1.0412864372668205,1.0254855308906183,1.091016668180183,1.198814314714906,1.2570744173040702,1.1927062123358738,0.996026535161431,1.0119520694314836,1.0418798018513284,1.1540346585443808,1.3201956663955299,1.2530708707196376,1.4547355521079117,1.4595119006434973,1.3615500617568819,1.3626021523467193,1.246922328752474,1.3804153315250873,1.2517525848242055,1.18364551768043,1.310330827690114,1.1190540559531705,1.0598838347436774,1.134390950175955,1.0734540295167405,1.6669057310769346,2.3754354589019306,2.8218023707093085,1.6057852492985842,2.4084759241164084,2.9417033120308314,1.809792032510013,2.0375583125637466,1.5138995000067574,1.4436105546114621,1.6622040722427474,1.3231995756790509,1.180465555417741,1.248610772728621,1.28269018049695,1.3403856707040844,1.174818927033526,1.1768937594874573,1.1816613006715515,1.1780970834135434,1.1146783614101348,1.162082893807564,1.0540832475964446,1.0430689789273815,0.9545416092800676,0.9868075016805371,1.0000563777038332,1.0752072851020162,0.9918795653311598,1.0530692984213703,1.1207531139591609,1.2345495621550686,1.1211242675179396,1.2255909027231222,1.2248857401723747,1.225950882765339,1.3863556119424902,1.3933400017333342,1.650776944607929,1.5618780494165934,1.4156137992630333,1.3805504203673278,1.244267989854435,1.4042033192582353,1.2192903985208718,1.3100021614453843,1.230575474532061,1.27724667892752,1.2596385012277218,1.33876252682138,1.3175931139078731,1.2800844735755712,1.3459805719631242,1.4123776475032639,1.5132552759418927,1.7138515469577467,1.6341600890763854,1.888018137150594,1.6931123597198252,1.8766985050141392,1.8656037180542502,1.9023447161863583,2.0302375589192723,2.067686230600294,2.0705756738331127,1.9485003900086961,1.8756947055162372,1.6792067394174328,1.5899951702812944,1.4091433252481058,1.2328555730592914,1.0624622172849298,1.0568416291370908,1.443127355260677,1.0282291072482745,1.009741184393199,0.956426155613439,1.010129929231092,0.9315781168014232,1.044270995549073,1.2131567985749379,1.3527035530114124,1.7241468510431737,1.7205921912944997,1.8617890596822355,1.8723459692292668,1.9054107525915804,2.003465772632437,1.848026192570924,1.8872660710433498,1.7186211288432347,1.771676001915883,1.9039865707459471,1.4338311910153758,0.9876485623624328,1.000679586542192,1.0458840054085095,1.0676247121286728,0.9585203918023473,0.9603784079617044,1.005217444297397,1.157874158014243,1.1774079198495904,1.373226498251067,1.5222355658291473,1.5687973947420866,1.8576424447559137,1.68282797252373,1.9254552126712203,2.001788601099688,1.7596602178658627,1.7545145420965642,1.617379806981824,1.7965624167255816,1.6012760447819874,1.692181626670853,1.497905671187248,1.347540560094603,1.1524564421115515,1.2170985349816348,1.1375969397982033,1.0790350359004153,1.1999327252807999,1.2054986050696412,1.2941763279032197,1.185118688507704,1.297370023014094,1.14630679431382,1.283098307776764,1.451675409446629,1.5088065050411315,1.6735321598585777,1.606185235737826,1.733741167262496,1.5883958953662245,1.6662628685611818,1.4806008822336063,1.7285947396182968,1.664576693435591,1.662537266871897,1.5993782271691497,1.4740204846589637,1.3581523352949223,1.5282798946163798,1.7211312738474307,1.758497992706068,1.801053612942961,1.7231825766748137,1.7933238435938417,1.8296326506923437,1.8416667963270357,1.9643869881585785,1.9398553748093688,1.9670647747201218,2.007299309830087,2.199719745807506,1.9813185701568263,2.0920093670243745,2.150965492749395,1.945923382178314,1.8975386511149022,1.9572026708193175,1.8252551238892463,1.7318711458412597,1.7883144330710015,1.7298006140201858,1.587809716572034,1.5792748355433681,1.6400730308167193,1.4785140362099978,1.5496423465632736,1.6256416930604887,1.4444612922740556,1.426794315648767,1.4910024628091096,1.5267170286909364,1.6023796800649672,2.079722304652845,1.8668657853599586,1.705263902027831,1.7022081702352923,1.768070072785595,1.9417289760068441,1.855522132378227,1.799195407274791,1.8171743483898077,1.852306945499825,1.8616177487290015,1.7947617980071437,1.8296686678140073,1.8695052055628822,1.8417247792098306,1.7096512954875196,1.8681346818616746,1.8812668730884794,2.0155481300254596,1.9169982219013963,1.9700909075974766,2.1406250012420567,2.088987026798104,2.2022106326533217,2.1509379391119814,2.002139937207131,2.0990209484223774,2.1876573771445984,2.011420387945511,1.9753881686168824,1.999811845284093,1.9371121942946872,1.82588281661002,1.8290665377969881,1.9886888801676115,1.6627095475803575,1.6415783357910405,1.6429784450738014,1.7272539825178566,1.854637352382007,1.7447114366183407,1.715304272087708,1.7191890786244357,1.7658321542256397,1.6667549919564613,1.6337862541471548,1.7058956036398507,1.7037225029936527,1.7153416883073838,1.577908445664991,1.672926501398543,1.6516768242334574,1.6647518593966173,1.5844274891434265,1.4497166411756213,1.9530740687785337,1.9508459356535228,1.584197722939352,1.407580265874772,1.4960710685283147,1.588341819431864,1.458909427935511,1.4846879881660335,1.3772739352567984,1.3003184677896378,1.683507091030749,2.0122633555664384,2.2058981104519435,1.9162038215644306,1.9763270331236966,2.074957627113835,1.9489805606604165,2.128090537683369,2.0013266695813288,1.6320867321397403,1.7893011941929249,1.9025007063825563,1.4266497739044268,1.4975455285854495,1.4945039165343532,1.661647971811712,1.8840487870449192,2.060986847400166],[1.8813983609033371,1.4505448766905027,1.713533259537342,0.909171021932412,1.171039652248318,1.1659860778968434,0.9799841399626584,1.035865834119965,0.9321939046949714,0.6857702095097717,0.6763128842745401,0.832269662087371,0.6766020038215467,0.5729510367783603,0.6510027587788341,0.6445216830684798,0.6269341310382207,0.6658602556929885,0.9008128815457692,0.7946730318664587,0.9592177123099437,0.9896185229598498,1.2304337096403748,1.3756086773330338,1.2042955328183638,1.0450526921148118,0.8129719795262637,0.7695424120837736,0.666414011659821,0.6127217593104218,0.6251475858294581,0.6807113177747899,0.7002573295384461,0.6109701693171707,0.632569178450059,0.6008574149384119,0.6581661212671771,0.6839512943080203,0.6948940136752195,0.7525639698350756,0.8643937687924662,0.8609562213888992,0.830219589140753,1.0828387987714247,1.6638421917944761,2.380942423571432,2.837656964472003,1.690925810415537,2.5564284222932274,3.05141824547043,1.6960170232853988,1.9375755060988413,1.11946952942488,1.0272920537162682,1.2226217364764755,0.9360847194514481,1.0157723141360913,0.9175971576691426,0.9278427371412232,1.3061829330364774,1.0248050550110945,0.9464640221373168,0.7979389068365419,1.0012087112964798,0.9794814775384435,0.8545571285511725,0.9494824127884546,0.7599012171268916,0.8578499526119779,0.8261619074443303,0.9195627770754303,1.130597681064431,0.8842957782650374,0.98896099204763,0.804718705446668,1.0334512369848141,0.736259433969337,0.6802664744367762,0.6571215570717434,0.7223740381287772,0.6806995070158555,0.7439686954444633,0.9075114612404813,0.7857824970927028,0.672285160859596,0.6702638681947082,0.672700563421479,0.6910844105660905,0.6377025881768773,0.6812578861027918,0.6040124920796992,0.7734691544688378,0.715732864634181,0.6493375725745423,0.6414034280777811,0.6835382666722355,0.8049896169988413,0.702760441536803,0.7997459221395076,1.013804952236658,0.874707465261167,1.1720011716586727,0.9056800154465715,1.1256212746915564,1.1054004962901263,1.172983449824042,1.3852518641809948,1.4844575978892094,1.4850469868218366,1.3274613096573111,1.274359308518266,0.9858608148759089,0.9132014027900341,0.6991104417152996,0.5824703366454602,0.6371159795075765,0.7953260491274354,1.6732364489565137,1.1714305918315568,0.7795764403353012,0.8182430459176296,0.7087002162460054,0.794769569350076,0.5273822157565793,0.6188033517630258,0.6854603091407986,1.1838649285101503,1.0193847418677269,1.1823366138939013,1.2138631702583753,1.3155633859062257,1.4591618681696787,1.2917466839991385,1.227721542860007,1.0720793920818632,1.1230226851006608,1.2401510995412401,0.899206184757061,0.6644590208748404,0.810101510894843,1.3359876959993797,1.1521111731410698,1.1013045596105668,0.9522909102404818,0.7989617034751303,0.637165275285436,0.6226308566961679,0.6297544130824404,0.7543635081497547,0.8638204603182056,1.189740235627212,1.0642481528806222,1.3110177769644482,1.4768946302706545,1.1695450662361941,1.0640670382736435,0.8984434900753172,1.0672705180423012,0.8363913533458255,0.9354744155332274,0.7299912058841393,0.6382080839836558,0.6634591126845159,0.6356951766373733,0.8092536527839507,0.9520476403751764,0.8602218322966632,1.1128444332660534,1.0864178157365685,0.9051726440534155,0.8170566366834074,0.6856429348101993,0.6708558972826544,0.7028228915215031,0.7200943531760369,0.8679905607425755,0.8134239960026014,0.9424983889250348,0.7900453360147958,0.8721437483935937,0.7281533960136147,0.958264005175885,0.9606047921509312,1.0229875016106245,0.9725747460387254,0.8839405427807312,0.8805872753047593,1.0969511565140642,1.4515055135352375,1.3521639606961597,1.7122046302418437,1.4502680527177974,1.5519193718683164,1.5013294597027769,1.4795649726948072,1.7027205833597903,1.5636933995015094,1.6228444860794997,1.7097553137231907,1.7545730834840507,1.7322181814780881,1.7333190867291184,1.728281219312539,1.7591858370499394,1.7722784212953635,1.7638774314773702,1.795030385317295,1.8038055146574152,1.7791712163090116,1.788970267793325,1.7996493131754463,1.7975866793561288,1.7987758347900444,1.7731545405075249,1.904272469809504,2.0168735313189887,1.795557481716825,1.8627430376564853,1.832636459766098,1.8541288039418016,1.9567830769917143,2.395860117454154,2.1850966066993123,1.887383277919663,1.8570132299766442,1.8485304344265898,1.877147821879538,1.8806333315725448,1.9556016552412543,1.8702283510914952,1.8132654458651372,2.0153094380548446,1.9817328945731565,1.8699132739098174,1.9191741930516344,2.1270870546535305,1.9771729647195984,1.8787830054533936,1.8073925860354043,1.6877811617091667,1.6850899878921737,1.7682849639938008,1.8300103790042794,1.8181792176770288,1.8121558231665922,1.7891260510940696,1.7757928528634392,1.7869574490569848,1.8208296297654487,1.7793410349099714,1.7871424037244874,1.805597279744207,1.809386590181452,1.7827970402860627,1.7894699500164324,1.976348940762507,1.7570651243189255,1.7493066516898828,1.7625674998311047,1.777896831389052,1.7981656941955166,1.7728400005703442,1.8668275143809465,1.8089561280508977,1.8154936733489215,1.8819655574454521,1.8774850829183438,1.848528412730803,1.9752865858977449,2.0687123406135344,1.920911947088378,1.9738574958699253,2.0559867448222113,2.113816275665013,2.0405241701679473,1.9049192178082446,2.2555588034055845,2.0864006530982504,1.9612720617582715,1.8886532452922908,1.8631575260192834,1.8900394282967485,1.9613339168626158,1.8865140457643834,1.8665162044837367,1.598886585984014,1.759287246155523,1.6673028115088386,1.7549688654613742,1.3652962235038866,1.6335004484762594,1.644945162325803,1.6094407768880026,1.8093606471911248,1.6534718698868456,1.4725413971479748,1.589705398214,1.5697243652388422,1.1801876564045306,1.2758049715078605,1.2095138298735535,1.5424541789647785,1.6655672934040566,1.8508619156602126],[1.1726740905270754,0.8569187379879256,1.113837956907611,0.40771033650478544,0.7564382880297872,0.7280309281891422,0.6254239917955636,0.6569384747271613,0.616782965724765,0.43911348192315103,0.44351808898486705,0.5577994908397198,0.45936671301958665,0.40647320787879837,0.5021156712514306,0.4720963097155523,0.4931664341325615,0.5254600465921588,0.739645211949984,0.6202267311314701,0.732938360550793,0.75164212311865,0.965566367273032,1.0644553066354747,0.9538761186417286,0.8038016378414281,0.6253577349339168,0.6023141992022036,0.5205150952442147,0.4366087826011861,0.4821999108764128,0.4510223031085297,0.4825381349476229,0.4496445490542834,0.4555794049526551,0.4496632362428156,0.459961569001372,0.515944101718808,0.516135844994829,0.5667327755458467,0.6573029033370603,0.6449518367074074,0.6075797531901465,0.8631505080598714,1.4233873663598409,2.1227645214000126,2.5365849889524914,1.422511945244918,2.4802661624550426,2.8470449353803864,1.4421169821868967,1.8215483019543692,0.9650000806967499,0.8590357840306213,1.0124249190687957,0.7165809917161042,0.7944795183388647,0.7168409809843377,0.7301187468844678,1.1574538363888158,0.8336757367480969,0.7471698029603097,0.6210589221283848,0.7720312796178532,0.7467755471331721,0.6447580463160318,0.7661893009202011,0.6122314067219109,0.7334722394135914,0.7445029881389357,0.8170637984310404,1.0189636372836797,0.7985623610871012,0.9033451362903718,0.6756236777692122,0.9416321096252027,0.5854695235907567,0.5191489834366502,0.48317488692780375,0.5393027446811899,0.48678629741432067,0.5583820681200293,0.739638237096406,0.5869839536819981,0.5257648989367818,0.48184072548829215,0.49532451556578516,0.5066793266923354,0.47044137641331735,0.5501057961054466,0.4844780625463872,0.6754458622831365,0.6085234680527499,0.4741762319339029,0.45986799585939014,0.5422088600664955,0.65333705806144,0.4799418326357353,0.5264071472458914,0.6560280414744746,0.5701606525006102,0.8104549682391838,0.6142852670794183,0.7937815730918459,0.7947203109619954,0.8495254232801345,0.9784480917641294,1.0701693463199047,1.039864894105381,0.9381035901082786,0.8880929722546934,0.6959102427212963,0.6015662877064955,0.48043304658744673,0.41063466760689354,0.5129647015792906,0.6661190714352111,1.5307580296756886,0.9672501535064011,0.628750878466934,0.6802653284182977,0.5958705700017474,0.6878130655617047,0.39106117780790506,0.3937461011190509,0.4824860837666628,0.8987221512410869,0.7415151378947454,0.8636411231286502,0.906739939943299,0.9642005052866294,1.0632381828547037,1.0027143343643206,0.9239893840335378,0.8517497319049675,0.9495329004521371,1.0444677267822178,0.7291213440544277,0.672136418134712,0.6597848996011964,0.9374640859131261,0.9476047066850689,0.8946913014718569,0.7424778212855662,0.610043727031624,0.47564802016777724,0.46365887023825053,0.44007053121144707,0.5053980480256448,0.5809610788416176,0.8250570682729513,0.6765628020236534,0.8886737121242396,1.0803010841774974,0.8638895853615463,0.6827300079132007,0.567772691057001,0.7093643329181456,0.5554117508340359,0.6570284892745493,0.5216404106265322,0.452966674109673,0.4926795088583623,0.4659995305197446,0.6397923121703953,0.7689778853151105,0.7019864679413299,0.9408751670671155,0.9641594656872333,0.8265925889423282,0.6906721607402952,0.5563131603429826,0.5386219310963509,0.5408621427883139,0.5326019269376947,0.6142023104277201,0.5955584473766978,0.707411403406926,0.6030499687463282,0.6446048826751135,0.564126006026032,0.719785512365016,0.7793763426731428,0.8564573634606908,0.8328121234658764,0.7679022232331294,0.7217712044476501,1.054889751169827,1.48533688558906,1.3181594321049954,1.6849191994436357,1.4548872422576817,1.464334442241982,1.384845230508684,1.2614483520914386,1.4046004572281399,1.2863018826721035,1.2095134670382708,1.2134999088988079,1.3571213269254745,1.1372771727681301,1.169625488027715,1.1908699032989944,1.0999244464935294,1.0862563641106358,1.1413916433733082,1.1193165669635528,1.0717992096511384,1.0882089072817565,1.154521954797284,1.0914565989811955,1.0876400655136875,1.1952452964151126,1.1789017371069759,1.2500969753175573,1.2881978737667217,1.1254670179631894,1.1872945652195104,1.0996199482842504,1.1048764923289447,1.2382356081256345,1.7982672719065194,1.4798013897432463,1.2908332432494913,1.150201779442321,1.1265436985745783,1.2165871249148776,1.2247837829237622,1.269668306459889,1.192715805226803,1.2200922203571172,1.4679230710725275,1.4284766459717613,1.3020121630919188,1.4186534947001495,1.619109209314845,1.456147797147516,1.4621998669062832,1.2434987741179238,1.1792727864959007,1.153441595182258,1.1793237785821016,1.2966687614834225,1.2471824898841823,1.3366763502635326,1.2584344929736868,1.164039621481264,1.2369097967350717,1.3073994301585674,1.160931911455613,1.187649440106078,1.2679287016735787,1.2134121241695963,1.1324067731148524,1.183236047728277,1.4165882740058666,1.0832852216056656,1.0445832996826512,1.0225615010475322,1.0471097470013293,1.1033746181934643,1.0582264144511735,1.0970506497710826,1.0681505142875847,1.0967432918617346,1.143882192785861,1.1569107126637928,1.1447083038926789,1.2746559885129607,1.431184963946002,1.2678151640166988,1.3607892854016985,1.4574715382561925,1.5532568545206864,1.471072482140736,1.3133670245029443,1.8127274274028682,1.7631023232172136,1.3883797843320236,1.2452560229887228,1.1096242166575092,1.1614508405688722,1.244121942184925,1.1129901275979193,1.2852830655654577,1.0453614470238377,1.0891405873000455,1.0988080716736757,1.2440614203745304,0.9496526093423162,1.0941121253548693,1.1018652302577034,1.0249375298787105,1.4696781898945197,1.1679125620556536,0.9436688006009862,1.113710544330323,1.1831407981181066,0.8708712126254456,1.0401394596741775,0.8475938902570521,1.5038317838542468,1.455948175801845,1.7497782117630167],[1.1918253698559056,0.8340730470657184,1.0825507823699294,0.3575515113620057,0.7158572816389926,0.588434114473194,0.4677096852499611,0.506670391708642,0.4816600291800278,0.36254051619061833,0.3871513715415418,0.46489150010496455,0.4128603409226447,0.4636304529376887,0.5980534165722565,0.4864125090502622,0.5707303302120109,0.6506160759318793,0.868661200621626,0.741601674331026,0.8661342526599852,0.854215648059778,1.0590462486050218,1.141655808892385,1.0317864368793546,0.921913442051071,0.7249571255151582,0.7069445375879699,0.610635877233136,0.45567320480651063,0.5434552301686192,0.4066127580219192,0.46474386257433875,0.48505404662651397,0.46687827079401484,0.5063532947921283,0.4464313087065073,0.5376882695230967,0.5462311153237746,0.547543864803134,0.6954736559994746,0.7315899805812507,0.663003959765748,0.9548399202053998,1.4391589664223037,2.0910392967016933,2.500860566464683,1.4527716988041308,2.518485315610463,2.835241825199813,1.4518152908935331,1.839034572462445,0.9609525892161398,0.8748993467466181,1.0151653679796817,0.7372597082972703,0.8519310363922842,0.7713843343877438,0.7908723383777864,1.2400166306459626,0.907825677891266,0.8451382801239622,0.7366106577046598,0.8975480102575913,0.8578619419174158,0.7453758929971439,0.9217022251126548,0.7671671672194089,0.9006803109862794,0.9141576442663251,0.9768370045047069,1.1943080142300988,0.9821265839454881,1.083673358245222,0.8173713576352934,1.1082878465722532,0.7155280034170379,0.6249528712656959,0.5751892778183317,0.6134143089314917,0.4673391890604117,0.5426233436114305,0.6819275606907883,0.48399308648525274,0.450343862574275,0.45294733705785173,0.5317617236393987,0.5010832028500088,0.5414632741809753,0.615539130155904,0.5741704575960255,0.7503134936077355,0.688108914093731,0.5336207197914741,0.5145530437876538,0.619680623599161,0.6821679727627769,0.47081059786912804,0.44273538088034176,0.5132170920691882,0.44521376071480745,0.6605878229366143,0.45478509990842714,0.651199533944684,0.6563570125586164,0.7220200724336165,0.8670714455843894,0.967778112231369,0.9485131927132034,0.8428009817449719,0.7782788359278687,0.5664114364680831,0.43901589976206107,0.3526892432898444,0.37825117813037307,0.5600678408425434,0.7350392308141885,1.6060540858772594,1.1284492832705202,0.7654197958888281,0.8370169471503344,0.7120779023203954,0.827745651150795,0.4275459290657895,0.28759065867420713,0.3606587959994821,0.7507871855073649,0.6118496545102583,0.7447076860295698,0.7990919296199862,0.8954272655170555,1.003923707936281,0.9506486048412036,0.8339647932596436,0.7748393385689615,0.847629465497868,0.9540572380742609,0.6257689640797411,0.7443484285051605,0.7235175467037691,0.8872328808134804,0.9499443001728572,0.9695966826197024,0.7882307134447897,0.6574377519757858,0.5063076837510458,0.46695237410057555,0.3652984322672892,0.3617453695634897,0.4411540822244222,0.6625595456126693,0.5472505998724454,0.7565001384936592,0.971077080923907,0.817763694820131,0.5436667965328197,0.4268919175743757,0.5381082016550521,0.4078196624983433,0.5129016347372382,0.39484117368354377,0.39937635266078003,0.49119859660380283,0.4489959376182374,0.642580670072427,0.7456684379750221,0.6672987404766044,0.9249034498940496,0.9485078016763457,0.7986084162695068,0.6517461484199205,0.52327094747703,0.4845771238557474,0.4428046001438667,0.4199205026716656,0.4770012863865784,0.48308533502659445,0.5934714497998462,0.49122234534019055,0.5158353576564296,0.4645360132500779,0.5878360385452504,0.6759043612874297,0.7823735153752228,0.7692914667949754,0.716611508987162,0.7062015304941357,1.0211279706809875,1.4524890682924176,1.2728343664774333,1.7016146462422603,1.4521982999644851,1.4590482093336028,1.3771249302991713,1.2568383051398848,1.4292365894753227,1.2821741852718016,1.1934811271188734,1.2017043520664585,1.3188325416589464,1.11248048711316,1.1343869073465696,1.1459112614716442,1.0946546094378231,1.0843063787292675,1.1406990605511877,1.1601007383564497,1.098798858714102,1.1165321354298812,1.2069973620859336,1.157199395461243,1.1667012269277246,1.2882426582266049,1.2731585241893075,1.3637965732410564,1.3939180925022627,1.2120340651351555,1.277954696229594,1.1697731596914713,1.1736143443453235,1.3166396117777674,1.8372805755578279,1.5105782364684945,1.323210014780625,1.1685697073994838,1.1355466909264686,1.2097719804620137,1.23982627662626,1.3069347756675838,1.2008335085827007,1.2407020576989085,1.504882825744726,1.4860227377996795,1.347303256482896,1.4490176997659108,1.6940405457366474,1.512007978245721,1.4908309231103634,1.2581691946624538,1.1514962735262748,1.1323524019370754,1.1561234918756793,1.26437078230449,1.2244987645698389,1.2858905826767788,1.222278209990577,1.1347836165231737,1.2018463906701626,1.2812333297032035,1.1414678585746272,1.1819647624604228,1.2746838736495094,1.229657832774704,1.1518914920561572,1.217588857026381,1.4453300055063465,1.1439636010690262,1.1018340405045348,1.0643209049571245,1.0623620890180536,1.1008752719477353,1.0569755206893914,1.1224526579488219,1.0904566249407621,1.1045139357063676,1.1797691417818825,1.1939638521061824,1.1741420174009838,1.3253261219831978,1.502970140600316,1.325423225691938,1.4138671696132943,1.5363409265795833,1.6562743684191632,1.5629486904345127,1.4011464334961217,1.9021040100599058,1.795536666830459,1.4830127009719052,1.321447771227911,1.1837566822048915,1.248757565496796,1.3022851679122995,1.1943756776546004,1.3811786258218173,1.1221250958603066,1.1464536801245848,1.0820854296026203,1.1888632484267279,0.8688858780740648,1.0846806458754423,1.0580585054979539,1.016760510467865,1.5593105168795516,1.1748193902934798,1.0188403779543256,1.1748069610299285,1.1000503730791715,0.7493024920850858,0.9801294685353916,0.7876191516025972,1.617840484891623,1.3023987512359068,1.6043096157349201],[0.8199275893581615,0.5946089523769167,0.7792828353869019,0.14447340211987764,0.5247057881860462,0.46437176469642316,0.4208785611195033,0.4494628453893631,0.46823662057111515,0.342261710112982,0.3648503695283992,0.44415643277501293,0.3764685605186099,0.3722995312189412,0.4849736747053297,0.4055985920081571,0.44592038784059423,0.45889562120237715,0.611736718914019,0.5271731948670297,0.590611439159068,0.6109165209923941,0.7765009036812993,0.8477532485452898,0.7907998021467076,0.6436593047947123,0.5098132957495942,0.49629501209280075,0.4526362262923561,0.3821532439364852,0.4346934271756452,0.36669375085125594,0.43126879474855234,0.41850844227278217,0.39225209443312453,0.3907430572068576,0.37413789008201576,0.4182322983941234,0.41803622942837204,0.44733949189732175,0.5395097171028178,0.5332128061808921,0.47957989625437053,0.7732827115526503,1.2496157902337108,1.9030366982037683,2.251234343022157,1.2177413847059386,2.438595807421422,2.6615096998711,1.2742834434514143,1.724451422398895,0.9135364202219884,0.8127131482789102,0.9662157166374211,0.5923961717536489,0.6659545104429441,0.6264365240628664,0.657690927863964,1.077610906152587,0.7227408623382564,0.6571741953916445,0.5627560739310818,0.6666139443600477,0.6118207893500225,0.5435028548945126,0.6833596354988853,0.5463554637726218,0.6639256684738685,0.6968211138975862,0.7548538511046461,0.9639852815348466,0.752326896192933,0.8640559493044121,0.6222931894195388,0.9759319649629514,0.5294576830390955,0.4738520057556959,0.43019524749912735,0.4664822771556572,0.3980422716131102,0.47909145043117024,0.6977988074267009,0.45882614209341066,0.39946812879207566,0.3934816567429376,0.41833318346219894,0.4387553742884532,0.40356416275958107,0.5255271393608504,0.4508203104347572,0.6630360358161992,0.5824675277836701,0.43806698432150265,0.4269020987292052,0.5343952747400678,0.6130189232079135,0.44389649441422235,0.43398191778142414,0.4930741420641512,0.4322841933558321,0.619397382046434,0.42754206562382396,0.5817361929746734,0.5743672367366193,0.625104173649188,0.7054219758199731,0.7770907759903839,0.7420679115138107,0.7018512071879291,0.6410118746424541,0.5126550034964923,0.4099140490085141,0.3633203211779513,0.32434268439836683,0.41678660196668876,0.5492529049595501,1.376287172686162,0.7986450785694289,0.5245604009356052,0.5801736563856248,0.5188233685252782,0.6020074902018298,0.318830869376429,0.2879392496426553,0.3715309889724341,0.6694540045244471,0.5515300117297209,0.6188096710568205,0.6774790495550361,0.7235763315992699,0.7831895562471641,0.7657892310283838,0.7101258924539154,0.6724784724714034,0.7926074768478304,0.874290879059625,0.5418818871748182,0.7761212428708854,0.5368328117161942,0.6833280749981238,0.870672251085379,0.7250982696898288,0.5670449876469592,0.4810719724648008,0.3771859523014545,0.36141204946917194,0.34616168917557744,0.35981308026531406,0.4350044429240965,0.5945488983033042,0.48892814083094216,0.6650243531316583,0.9015661237566635,0.8107182609855833,0.5021982091236354,0.4147214285257639,0.4913685863218097,0.39413292465808036,0.4714427007308055,0.3768269626787697,0.352294968731055,0.3792773736825935,0.35587273219186877,0.5012704356378067,0.6308214607604893,0.5538477755321524,0.7783044120596625,0.8359722832169564,0.7357913379732982,0.5760743179576506,0.4462945954118782,0.42843136176285124,0.4051922849363892,0.3881518060360216,0.4537557812726187,0.4700813041427998,0.5900611251531354,0.4634602009005088,0.48710703371972125,0.42048388830510214,0.5282712847548259,0.6087115460670155,0.6991624505962988,0.716851203430639,0.6826878341045319,0.6192812688096812,0.9976720337673693,1.4418163686268082,1.212163567624681,1.6140309011724796,1.4069179694425271,1.317577923538694,1.227172726190177,1.0475845296449606,1.1592280641741879,1.0928376341518113,0.9400717823475965,0.9101674855841881,1.1620279066945405,0.8159091823542653,0.9208183451800143,0.927852837004243,0.7583398043520626,0.7632967460399137,0.9294208597414343,0.8646152409009416,0.7375655090911551,0.8735732395997501,0.9895238396218713,0.8365296589487391,0.8753152117052022,1.1133655823649835,1.0488998874401592,1.0522198074527447,0.9631045338824361,0.9248618500397372,0.8556343097865114,0.7519729478849095,0.7455153933478484,0.8565989051709433,1.5763733007452692,1.0884575661217963,1.0970496400152026,0.7916106567933158,0.7357818117147927,0.8795928886611468,0.8495969860557511,0.8498213364637552,0.792223881457617,0.8785620640848599,1.1055338017065939,1.1069817043998789,0.954241607323568,1.127130866311979,1.3143675091704825,1.1570874503616007,1.235192874118784,0.8994747111648693,0.8658930512663717,0.8530758353510302,0.8912246680844966,1.063502080275313,1.032912125697127,1.1943402485310497,1.0529139831841692,0.942868635036555,1.1046802121129529,1.1794897329854468,0.9686802762895156,1.0705880958014968,1.2157264049269942,1.1064972568106852,0.9981134890029815,1.1210542448725862,1.3265897975254055,0.9712782883781191,0.9027318934138,0.7927228094232949,0.7718479567799119,0.818503537588305,0.7024718750384598,0.6988991566126466,0.707865073620023,0.6960985722050104,0.7138579812385617,0.752607196722738,0.7370157458183155,0.8466399852655713,1.0524752968791842,0.9000689151429769,1.0101857638194673,1.0936439903592639,1.2591810105570707,1.1767392137618833,1.055300185064005,1.5823017124105436,1.6201977418521964,1.1298664015874085,0.9636751250063856,0.7493004490286722,0.8158383818915228,0.9013591940360355,0.8325356081251963,1.1178109439795216,0.9753951411487027,0.7964136889522127,0.7911886008657838,0.8892391212065875,0.6852818666053953,0.9751547005884076,0.7824026040030252,0.738147434686002,1.473883574750848,0.9237240161754049,0.8070357288807047,1.0014871661196767,1.0172006753168843,0.7689350631010922,0.9463460904958454,0.8259252601318441,1.5834261467722572,1.3177534766623598,1.6472100712147346],[0.8910058891108443,0.6628924906718653,0.8511810312189213,0.29475469423932915,0.4641436741675864,0.3895869686122196,0.38329817666366733,0.402808643427571,0.44119511617083534,0.4135265932593618,0.4619571094266241,0.4894924401287722,0.4668277725694923,0.560748606693096,0.7137509462702546,0.5800348884830199,0.6037370619097937,0.6610500141534433,0.8191330002442528,0.6649808830124954,0.7497840232443584,0.7234633266193787,0.9048114369776676,0.9564025628477154,0.8721044462730854,0.7759803830917156,0.6127591437447454,0.6373236477496786,0.6025768174296139,0.47265434983308335,0.6203525033637419,0.46733651859538916,0.5415331933868628,0.5539951556077892,0.5040720961898115,0.5167344510915991,0.4620724150491437,0.5101829907514739,0.4846719188413366,0.5151445344059185,0.5727604749316779,0.6221391430812094,0.5708936876106007,0.8392591277574364,1.3044926355864745,1.9090447054598105,2.335727009324919,1.2768312502132748,2.3675499947671343,2.6317781803261715,1.335760642453926,1.7318016178476159,0.9716012859166067,0.9083170440585224,0.9972411123157111,0.6583882084527959,0.7446335063019782,0.7010289767596128,0.7124837973489972,1.1682826086372318,0.8149965355256416,0.7646757453880643,0.6851177820670495,0.8123999266437426,0.755704977521632,0.6644232124657464,0.8471514793737712,0.7386555948666526,0.8761257852929036,0.9496234202945302,1.0061782459524982,1.234725884040409,1.0089174000628058,1.0613463607344007,0.8412743509517661,1.1219144769332274,0.7093222589318644,0.654348321165157,0.578047091285732,0.5880553724304127,0.46377531894588486,0.5250517186256898,0.6766512594370833,0.5123638694304607,0.46240802831491545,0.43816973458064024,0.4944597439848853,0.4906485504217389,0.5346486905835709,0.638796966027202,0.6149525895830287,0.823327652598948,0.780966363471651,0.644923138415784,0.631250122884656,0.7603221227595023,0.8374958699399461,0.5741365426048847,0.5018805775204324,0.46002800279414074,0.4380232566038856,0.5313441591713597,0.4153234896242763,0.5612649846067577,0.6391290715220173,0.6956890945766478,0.7949738065964613,0.9429754495932832,0.8718807968950978,0.7586668245575906,0.6716497349222359,0.555942545252739,0.40358288662614844,0.3756933350539856,0.39829330180940214,0.5270460418185432,0.696052237466009,1.5044668802011696,1.0473181314547586,0.759475345633615,0.8462877190408445,0.7763577780409956,0.8369312559624043,0.44076241016101736,0.29976606870508016,0.39629279341842527,0.6904121311640778,0.6489986215923124,0.7713998580322463,0.8641665197544328,1.0194481004676088,1.0553483123665253,1.1033287704924832,0.9635492686570065,0.9855207491046162,1.0223911472353293,1.0758261036420098,0.7507956422830584,0.5700361535413594,0.5844009356141462,0.6427365142820491,0.8844467093619766,0.7934702980830097,0.6353618316608928,0.5289118569560278,0.4456017324020981,0.4214492075387636,0.36263447191273773,0.3601964120081135,0.38866227036790574,0.5283971167667664,0.4351673853923576,0.6025106951537681,0.8507170387787215,0.8106642551821656,0.45021596287669774,0.3853363169290545,0.41734715957683965,0.3740943052793586,0.47443303535443015,0.42645525599917716,0.39883265058484535,0.4118518827840465,0.40106130026393716,0.5678926637198559,0.6323256983178958,0.6806973846769486,0.8758981199766406,0.9848306093747924,0.8768068065611664,0.7924254876829651,0.5628481768542104,0.5516923262869201,0.5145484219239262,0.4419299674125797,0.48802441339323305,0.4694385196437887,0.5552600122426585,0.4954807225746037,0.5521635531948532,0.5437056079608642,0.6711860105166929,0.819783158270214,0.9393868973651843,0.9265077281174801,0.8060129682368756,0.6975048220020383,1.0924037197529697,1.5579172744865784,1.3686413197407687,1.8565796195021829,1.6292501390836638,1.6303049213521639,1.5461366282231044,1.4093369129710471,1.5222698733932503,1.435932688992026,1.2718517818233972,1.2054423597811494,1.3070193324398554,1.0260217181568267,1.0284040314144343,1.0272160695625574,0.9114306529086295,0.8699362609475109,0.9368570739506921,0.8795925282598043,0.8198855800994568,0.8466496274512857,0.9288836236523759,0.8300554439313632,0.8368717707044725,1.025301970250698,1.006974792782461,1.0296972534155868,0.9999549735988421,0.9266803770857518,1.0021399251086864,0.8806822530022914,0.8560202022965366,1.031953074508314,1.6987661989497553,1.3225237855554324,1.1677304480758215,0.9931196768744458,0.9684654164159886,1.0726900700331499,1.1336185203480544,1.1393614347553511,1.0828301937031843,1.1498368368587533,1.4461555760980773,1.379864034851843,1.2673943932129652,1.48018181570621,1.638025254072291,1.4852203079707973,1.5573546914074392,1.2122547189422006,1.1381534860948948,1.1214606075234206,1.0858938864684775,1.2316325055175759,1.1254699284303826,1.2913875903795935,1.161943241287986,1.022354130758126,1.1535261607459777,1.1946043056478997,0.9784532808489261,1.037509475102475,1.1658504532527414,1.0503517987227613,0.9489244441624286,1.0473683425122604,1.2584897421163168,0.8938100333360546,0.8263600044433641,0.7607980839622746,0.7871257136522211,0.8758853170205849,0.8633101143392182,0.8189013332442496,0.806656895952495,0.9011968628803293,0.9438153096381139,0.9469857201952738,0.9918273280221878,1.1602763590421183,1.3063736019619252,1.1618928537459379,1.3148150045103784,1.4360792515321272,1.5175220373601161,1.4399789883499006,1.2469501146159057,1.8095896464727361,1.7504563062617775,1.2798364290064599,1.0983773256607101,0.8816720427010896,0.847211085842434,1.0126530703386356,0.9479284559453273,1.2375036202883103,1.0340092533509584,0.9748692492936248,0.9191635323380075,1.114873716552144,0.7915356565184828,0.9340539920381206,0.7513378738200908,0.6686747451599088,1.2307485914077563,0.7552709463348697,0.6946101399917126,0.8433162050970988,0.977190207803425,0.8381023627442938,0.9597056770832225,0.8465720547550893,1.5183536371925554,1.5347633270668088,1.8960837063879936],[0.7980427501569958,0.59038854190194,0.906566291709348,0.39266836586552806,0.6622316978657522,0.5130572933514439,0.4443215829951587,0.4401108038341337,0.4528930610940381,0.3971602477606657,0.43623116096188225,0.4783478788720878,0.48731449732345694,0.5695442011273941,0.8043572518057203,0.6662974770583551,0.7119689170241348,0.8229951434296431,0.9807994487674924,0.8449588063498654,0.9688283293092275,0.9382285919847915,1.112481695696278,1.1383859363142412,1.0263839033043298,0.9650668910004585,0.7781799010907097,0.763214286375643,0.7263513499399401,0.5928695755692944,0.7621276347500553,0.5807808273737111,0.6705509049644782,0.7258982206724615,0.653158679314749,0.6947194542048845,0.594526904974083,0.6498379275802423,0.6332183595584148,0.5832113308408231,0.7175154563003262,0.8308817788972973,0.7723781675836011,1.053193580127912,1.3753212726936963,1.913202578884089,2.2910722916173,1.4053279876026714,2.464951945702247,2.6169373632995714,1.4486098728223706,1.8078857867820528,1.0614277724349632,1.0782796848091543,1.034908054778077,0.8266646345222882,0.9357156810786585,0.8137168208463607,0.8643239810988995,1.3536909174048324,0.9959686432200657,0.9717658492145912,0.915397489865204,1.0715472049540347,0.9571212309846325,0.9066636033439635,1.0864911122255585,0.9538183838291229,1.0527180243178902,1.119129313318201,1.1471695911209998,1.3810808528642844,1.1923363221700582,1.2662204386872713,1.022076797480187,1.370846391632839,0.918466028122812,0.8638113149932303,0.789372240701148,0.7942614432360371,0.6174909034873237,0.639682362361834,0.72660916273181,0.5555024236801716,0.572276240433904,0.543039135463689,0.6538713707162457,0.6355861625011338,0.722710930416161,0.800663911386125,0.7979887697008557,1.0032993578534068,0.9457849876470852,0.8085899888370673,0.7600533304157038,0.8674648791671845,0.9079290440310783,0.6570557270690134,0.5444967165399835,0.5138933871111228,0.46312191638724143,0.5033711817954987,0.419884565504163,0.5411165550138838,0.5842345050678781,0.6647018610709818,0.7416697616565804,0.8768257435662594,0.843340868628815,0.7610472127696368,0.6859100294098635,0.5655408974676713,0.45256601669738805,0.4369347174579244,0.42859138118795426,0.5344096398336053,0.723810592126215,1.4580168703506367,1.2362981875496684,0.8896991178688953,0.9449505115346742,0.8004140315676371,0.8229915786224353,0.4313335540126911,0.3506309386372759,0.46616040355951993,0.6943880310568691,0.6440370309619432,0.7340742925210202,0.8137533138163415,0.9625237420374801,0.975059179995019,1.003068628819223,0.8715809452082561,0.8942511112263403,0.9687284315140213,0.9929428122439689,0.6903612580347441,0.6710928759211476,0.7311631290253421,0.5786927086027202,0.880278903005407,0.8468296094688692,0.6567504665101602,0.6194747273411657,0.5524051168707929,0.4941104629953614,0.4286655209728184,0.39805578229008926,0.4207839921543369,0.5588138922068476,0.4577383318992488,0.6069790728147232,0.9203140942095163,0.923960078768422,0.46429526882928085,0.4098311643354777,0.4266481488029135,0.3887178684903588,0.4727695727039565,0.4482341339002919,0.48061225149073644,0.4993361753130965,0.5154736477226378,0.6517522744433667,0.6879667285755117,0.7199515659071459,0.947502358768048,1.0168959988790336,0.9119857190608676,0.7962084974666753,0.6246116278630809,0.5884091898310533,0.5304695443423068,0.4652738890705625,0.4719476176793062,0.4928162208682756,0.5473771585224703,0.5259142622036376,0.5388448213940977,0.5588063586447535,0.6182749850301922,0.7378626031548552,0.8447931144819563,0.8264270915944572,0.7409467041272451,0.6727793729797331,1.020086932033007,1.5537164964159837,1.304554624650643,1.868197199822823,1.69651312986988,1.5763681627627322,1.464639947739449,1.328769203222891,1.4545701676499545,1.3688939198522112,1.2241475231929155,1.1863341660746,1.3115667607486141,1.0448801735446558,1.091634343567807,1.092085983256622,0.9756407834321271,0.9553573723320525,1.0673787154042051,1.0208752988240557,0.9292736273156041,0.9982556979702704,1.0890281646237445,0.9659460382214393,0.9840729255883528,1.198218483756052,1.1410417114245421,1.1489451311901453,1.1453243151977512,1.0174180429910067,1.111478814022727,0.9785623293567538,0.951876280841966,1.1147422012577426,1.7501881638483614,1.348718828007318,1.2242645226802678,1.0092418896929805,0.9802894271917995,1.0857652333664982,1.127169767372338,1.1538367889397638,1.087681061660915,1.1386408181976744,1.442502936526564,1.3971956488104316,1.2638022281578003,1.4596979236582723,1.6727391011894601,1.5111021931974133,1.5351673873710967,1.2088036375793905,1.107074670338377,1.1014392492006146,1.1006750136712504,1.2569088404501496,1.181767864642298,1.360224130245999,1.2116243238140698,1.09790853779558,1.2665582027398474,1.3153781896042325,1.107326589449905,1.2032583129518957,1.3559826740461087,1.2206772111874655,1.1061718822046875,1.2370954454121823,1.4434049562365459,1.072654896472661,1.0011000660269087,0.903091801553762,0.8999543744036477,0.9714972786889151,0.914111855833091,0.9038816921319826,0.905812586072437,0.9543803543648094,0.9983286546770976,1.004251795855333,1.0399602153817633,1.20607218723351,1.3728095934404654,1.2201964868954467,1.3621979545569385,1.4951313194787017,1.6171428818133797,1.5297530775515809,1.342548656824046,1.9235805715135532,1.8196961830188778,1.3983399067857918,1.201646911951226,1.0029730998105753,0.9889999323010038,1.1149105753025763,1.0719728233232404,1.3440368175500967,1.0838536903916074,1.044191007437666,1.0006205535588726,1.1206929113228548,0.8552690224642037,1.0645359988860823,0.8676840513618664,0.8218900525148669,1.5457963569665019,0.930477357347617,0.8543415021690601,1.0943275904076506,1.1755835253996523,0.9719413690133093,0.923624368085535,0.9979017477320664,1.3617365835344384,1.4915124534980275,1.856093535640391],[0.8511348047821865,0.6244271345580107,0.9156301501532566,0.3591295036521522,0.5842172934035973,0.48079522269877123,0.44659725862683175,0.4682430344921854,0.5076535027526733,0.5453285861064145,0.6137600938901001,0.6221016051562702,0.6842602631069574,0.7744639584902558,1.0452570277306228,0.9261939902014419,0.9611888321254655,1.1240075428988725,1.301656884399372,1.1679292444765978,1.3241252450942718,1.279322569654639,1.457389790878252,1.463099640726145,1.3431767264408725,1.3011240221993623,1.076216729763563,1.0563332704064738,1.00416072884092,0.8509212706741142,1.0493861337988668,0.8462807455436588,0.9282732361327791,1.0273467137007701,0.9497419295847697,1.0032081096899303,0.8666062716021681,0.9319511510563304,0.8951206698555678,0.7989319874468828,0.9453869965105259,1.1276050613676616,1.069905105422316,1.2956167869114663,1.5427124751782433,2.0204667051829,2.3969878181594066,1.6031699270675437,2.538619450627285,2.6950440616267453,1.641343447296803,1.9328051037668823,1.2405770412052115,1.2564072675125593,1.1941017213991114,1.106991305154883,1.2087332685835814,1.091353042503394,1.1593721000357193,1.6257668572215185,1.3077583579092826,1.3013197803472771,1.2555300699338126,1.4391229209117422,1.2939447218890308,1.2614497425281295,1.4428086904943045,1.2918925635930907,1.3863654900457285,1.428167508240943,1.4637651793711974,1.6663090605382993,1.5050615563673653,1.5772919732054436,1.3496879072794674,1.6615420249574453,1.2588540776259831,1.2093122273557073,1.1293401296454164,1.1283916297926042,0.9106510187594663,0.882789172876594,0.847339542362888,0.7117001153740308,0.7683719542326201,0.7710252021022159,0.9410301640406763,0.9181029640854346,1.0446057886245004,1.105613904961647,1.1207701849333527,1.2943662687557096,1.242236245250141,1.101068133930078,1.038413056586985,1.1238793404423761,1.1451333608344583,0.8937677654459959,0.7492953670877881,0.6591684928990876,0.651298573200036,0.5494776174454771,0.5691427696160504,0.5567913737658484,0.5558524746243974,0.6026965116495362,0.6750824518370815,0.8314279609414265,0.7843989162198666,0.679299904714863,0.6077123594078508,0.5203980782747821,0.4651586372578655,0.48267144177972254,0.6187581742367553,0.7378396813725249,0.9733516453033151,1.5870372638204984,1.5682100368122105,1.2083642038954927,1.2327910599930119,1.052027796994115,1.014527412067224,0.5945063626397723,0.41751575802654567,0.4552067004028178,0.6296538439832904,0.5784371377850547,0.6712714464535265,0.7659673965647719,0.9326035519750108,0.9518708446807372,1.0069580014320993,0.8441688740371005,0.8785401382336039,0.9297627820041033,0.9153052025734367,0.6990710587117206,0.6830525937173324,0.9255794186942197,0.7362598978190692,0.9322871056874654,1.0512605013399587,0.8623392725031124,0.8540613012978396,0.7997585834737927,0.7092720441685322,0.618322288073718,0.4972515559911121,0.4897180861444611,0.5079464866697013,0.5216140913695023,0.6314181553761345,0.960012057877751,1.0078116924087899,0.5513169356707737,0.5410010412438147,0.4635605176203306,0.5567933564661756,0.5051440039841145,0.5409307526119745,0.6813509909682893,0.6700830685061612,0.7096263853456651,0.7816272449029138,0.7415946217879282,0.7822135152687894,1.0139994151497547,1.0728599210568335,0.9445733023508464,0.8316403342194223,0.6970221089750772,0.6673104352647417,0.6119738411005625,0.587734169033688,0.5520788683561618,0.6354085050353115,0.6326415580009607,0.6692701036366225,0.6030591713975044,0.6510678747998881,0.615616682739505,0.7346620188708022,0.8514607662267469,0.8302282608900818,0.7799733321770256,0.7866431352617489,1.0568580581816762,1.618340432505131,1.3891020361751665,2.004572187227741,1.8166065920549275,1.664402042845013,1.5223594846832367,1.383588256445044,1.5149802598203361,1.3815770839399908,1.2374150459788016,1.1917986581814692,1.2758417499161967,1.0243749464187162,1.0322025009105438,1.0351492686069381,0.9514220853626617,0.9169215093859148,1.010859811312016,0.9859243797530738,0.9191453272908034,0.9440786478957351,1.0526294459436458,0.9557242449877951,0.9619105908055942,1.16243525126233,1.1333676535717148,1.1599971455889506,1.1878686596448813,1.02580779502189,1.2065715531011587,1.0302202761628103,0.999909013603017,1.183679560762113,1.817405731060207,1.4491904835285983,1.2430647227968348,1.0723019801063065,1.0284367259102514,1.091329474397429,1.180277053611282,1.2550887069399514,1.1508233390238949,1.1715904081970387,1.5547842899855053,1.4990171106073613,1.3280185241333387,1.5471116405714749,1.8139311044764703,1.6327632482378729,1.6093164027624198,1.2524469404684493,1.1063180627206173,1.10387133668739,1.0819231014343338,1.2123246309985172,1.1366175648393344,1.3211206622223322,1.1610021196404903,1.0441638959127328,1.2142039511191454,1.2577187268803953,1.0404411162560716,1.1307718323690237,1.288926073842895,1.1571051413850162,1.0373426685061133,1.165325637227807,1.3918565615219856,1.0127914361100778,0.9404381169969738,0.8646422853580856,0.8601628954670582,0.9232253341420862,0.8989166538555756,0.923234248594563,0.8985779925029026,0.9648683388627048,1.0668332243466547,1.068601746435295,1.0953170726317965,1.3237748096573705,1.511615841675842,1.3236879026927222,1.474685117189974,1.6577816612681022,1.7739528378978195,1.6660161780583924,1.4394020544137598,2.0990973780713365,1.9329615744161375,1.527774082161097,1.2866138469958919,1.0539644412161635,1.0122328669824388,1.174510218177224,1.1128200657517935,1.3993347834026482,1.0996694327303074,1.0680825167589227,0.9621726866316863,1.0906359218861326,0.776580359730636,1.0190711944442927,0.7816555469253721,0.7429531836551068,1.4004431117599703,0.8506800219640858,0.8160045373804217,1.0395821459085968,1.1409665297926268,0.9750505124885906,0.9358901172511521,1.039318014460915,1.3548830888138468,1.5323282944462202,1.9332646405351364],[0.937991856827198,0.6822105734715559,0.913842282903446,0.5618342114812938,0.6988918282974983,0.7761426676533758,0.91816788843365,1.0171558458132588,1.097143953612143,1.2488262428500767,1.3486700399954055,1.3395518716067172,1.3912087641742028,1.4834102808865033,1.6670594424251894,1.5794405499710544,1.5619688486304188,1.669073196707367,1.72813312812179,1.6054302041796322,1.6508142554714498,1.5607030874007393,1.6496118494255216,1.5861993886543388,1.537362474938831,1.5636523066638939,1.472716703163477,1.52804772757001,1.5721886946421768,1.4959725093213956,1.6511087646242515,1.5270108172141585,1.60002920945192,1.6350149735692674,1.5770354013591683,1.5854816525854938,1.4730734780646562,1.4563837147832017,1.3453899405512058,1.2081963276582115,1.2649760588571655,1.4750271077739479,1.4353572516183932,1.5300883122892248,1.6762808336656745,2.0521802381715855,2.3483866136877776,1.7062788438115504,2.6409800421627274,2.638759526536247,1.7615381872681997,2.0211723709839764,1.4200788041612835,1.4592158308928522,1.469083278656446,1.4439072855723691,1.5232382206362551,1.5143263370690814,1.586562658864262,1.904432559159895,1.6858579326980654,1.6955177917734858,1.68897656483086,1.7308670976512082,1.648361236239718,1.649487644024446,1.8029732188699712,1.7392045829607263,1.8192623414111757,1.9154489120225742,1.9182174543046824,2.078474203223223,1.9626418987014702,2.0156232017646922,1.7939935057555647,1.9482096859806746,1.7269608799193974,1.7282171411086091,1.6428619431036968,1.6016457567806508,1.466845051396827,1.39626924759821,1.3413714715108087,1.1775111567061034,1.1820522243281533,1.301787533732793,1.460651730715558,1.487048771465387,1.5967492308072737,1.6700030294297616,1.6847193158454015,1.7364219250234798,1.7874639800143588,1.7283299275451838,1.6848513965625311,1.7424615531618273,1.7134529973139814,1.5734307338813274,1.4541022604418283,1.3691674048356288,1.3578176776475996,1.2051054431251387,1.2027800537566722,1.0441702266167607,0.9351136869397626,0.9195080518801068,0.8748442429960417,0.851810433261813,0.7923851336929062,0.866906157489793,0.8357815817520297,0.8785563041262789,0.9766976131434457,0.9895148097133813,1.257294306481827,1.271889388539562,1.4885700877686778,1.7908410293210197,1.8781303584932203,1.712519999581093,1.7506837392834804,1.6606803454629808,1.5261802744742632,1.2412104730894091,1.0346711026764115,0.8857288315039004,0.8172597872043947,0.8085767770780937,0.7973083521235159,0.8352732144917598,0.854309284903397,0.8498627853389513,0.8979751345083223,0.8463191724150393,0.8498044333078669,0.9427878598351753,0.8644465994395929,0.7672086625851854,0.9660365327543805,1.1328410504235573,0.9096574707761722,1.0969797640688452,1.2986625229919215,1.2005452149161606,1.2060224553118115,1.3005501340563252,1.2196363062947808,1.196373073182004,1.0861095199028217,1.1234954129265393,1.0089683972553427,1.1708180840943803,1.2487815863912426,1.4937143555340087,1.5789161871087463,1.2579011305075998,1.2333375967943772,1.088374016043419,1.2205289295169184,1.0457569821543882,1.0007923669345493,1.210756802266329,1.0662044616210433,1.117681784824389,1.023133755992584,0.8789963625486457,0.8785912931790414,1.01648495754512,1.032352806050841,0.9703341583262719,0.8882963065713105,0.8867219965474448,0.9282996147326216,0.9712537900275128,1.0636781719622492,1.0618813031461996,1.2295301078126435,1.1792036984725924,1.1641493616741214,1.0233957337608715,0.991561752789058,0.8993431405425039,0.8590950879553155,0.9032144936913955,0.908467274085986,0.9914244260068991,1.0787975244563621,1.3758315432513792,1.7327979699614653,1.454329024564592,1.9460890807076627,1.8254883807463729,1.5438292261765036,1.4000202938025663,1.2316822034601176,1.3140957984875705,1.2244498843731972,1.0706439568680766,1.0298955551721949,1.2462172449412472,0.9209041217346123,1.0658534863512374,1.0539543184984947,0.8677809760044197,0.8871172831004243,1.0976512676171697,0.9960787113456637,0.8927634661452996,1.0548497295950119,1.1744108870257506,1.0128187441027443,1.0578286083624855,1.3426054889443653,1.2513987100325747,1.215747740510658,1.1574464297228917,1.0743845957253622,1.1479853862854406,0.9627791367697904,0.9412571026445868,1.0767562457235318,1.7805470765430318,1.2954205576898017,1.1174079382241862,0.9145246915779598,0.8804129077691335,0.9783418296566704,0.9864487735806784,1.0007275923880552,0.9449764726598884,0.9724445852649679,1.3039559171343127,1.274706025119048,1.1023386767206036,1.3401571222176734,1.6000698167559229,1.4355418538798383,1.4166568226125151,1.0607771552875276,0.9727258392844795,0.9750029031649705,1.0120804503147103,1.2330638614863436,1.2413247785023722,1.4907917735217127,1.2525887532456288,1.1487136204005979,1.4360000810046227,1.460156509564418,1.1993938040164076,1.3795403911786004,1.589783881800841,1.3798136720615868,1.2335585008289294,1.4472324932171785,1.611043921618666,1.2122791347134014,1.1268445882891525,0.9640461372569996,0.9160086497850692,0.9700791309689516,0.8421977980237183,0.8292047153578431,0.8453269911284482,0.8211254876414893,0.8933345050896692,0.9251657145751238,0.9203589966108614,1.0880066477771906,1.3328243247613207,1.1764255672794361,1.2809324387605945,1.4636955360180783,1.6331439799795995,1.5466294576728619,1.3535947063072535,2.00862144073945,1.911176713528277,1.4905699531078431,1.2751264712067745,1.0017952787759514,1.0002401118032354,1.176419096453763,1.0870680270952977,1.3870780812582568,1.0850849105036546,0.9629841427488144,0.9010442498427899,0.9235974550220373,0.78092223248494,1.1995499221028656,0.8569656374241484,0.8611956756679241,1.4679119254008155,0.9294075133430607,0.9688770504226651,1.1341133817169053,1.1658188903576063,1.2221873677684,1.1407725000870208,1.2874326481487939,1.6286855167691496,1.7659638408994136,2.467286244383089],[0.7874276655625316,0.5474368845727993,0.8267053206684782,0.407686537701006,0.6264720122923086,0.489723812290087,0.4875880718341732,0.5052256137152159,0.5141238916342455,0.4805768703715389,0.5123583578392934,0.5513746328987925,0.5583720363629743,0.6146060444502573,0.8389472381963607,0.7143875682218092,0.7380777108731303,0.8064079811906338,0.9040866561798693,0.8081505958034242,0.8815756636838463,0.8659245669174866,0.9964174119699878,1.0280128703872553,0.9509741343875712,0.8735445852242549,0.7544329087421083,0.7468890412074372,0.7373710414748815,0.6472101527984531,0.7763606510566592,0.647998547456244,0.72299205417987,0.7525779493518283,0.6947907317045244,0.7166310942164379,0.657360188190954,0.6786006608960392,0.6622778201951321,0.6172970079321923,0.7211452876616364,0.7926197573939859,0.7426622442672667,1.008044540666652,1.3053688579427638,1.835550436030358,2.163406903443132,1.3370121052156876,2.468780713611985,2.546291378930509,1.3979082048275184,1.7722391386013392,1.042352598556075,1.1127465311408995,1.051047213235448,0.8036467298037361,0.8883730694673725,0.8236145567684537,0.8570258390074899,1.26516062195553,0.9319130484059119,0.9142477170079877,0.8705574969917251,0.9863205080511693,0.8769513556374474,0.8607012694434366,0.9949346829404748,0.8974195099407549,0.9636192941284797,1.0568361066059333,1.0604333304586326,1.264393738872909,1.1085324277144104,1.1604590153425733,0.9738620948256832,1.3235084456967565,0.8789596722502168,0.8450435703783841,0.785483534494744,0.7953478556455068,0.6581785256668017,0.6776689602706542,0.7597291098938737,0.5906434465441032,0.6190469795756119,0.5931114954011439,0.6873693660293746,0.687399402220188,0.7316190025145287,0.815763536105426,0.7899649314716608,0.9740969816113231,0.9328908033816483,0.8206195505218362,0.7850832130793867,0.8837543379333191,0.9377853502977977,0.7152293944838822,0.6280214076673029,0.5924536115180289,0.5511692571462544,0.5198059535161283,0.48337988333853865,0.5566404854925093,0.5668172208557896,0.6261588843426157,0.6591009489710599,0.7630036446493432,0.703587902356575,0.6851738247071569,0.5779578439970195,0.541275459620319,0.48791116649497657,0.48352606704639023,0.4960189114848005,0.5760692123151232,0.7296797847667762,1.4416478565428776,1.1273376958061876,0.8523736454620667,0.9129070753732048,0.8173633656073154,0.8283325169950232,0.483287045538365,0.4052448771727881,0.4833231124539762,0.5668169688886644,0.5870567499473612,0.6460760787765616,0.7402312744744022,0.8645307778215718,0.8449358717665916,0.8829343676778895,0.8050849450651322,0.8193726461400996,0.9056255733672893,0.871466712234895,0.6481215693025564,0.7849398580565904,0.7746937892479571,0.6564230674283943,0.8932847756058422,0.7822036518067699,0.6477836946112124,0.6148316283220444,0.5878983233292668,0.5474174750684223,0.49732968179655773,0.45932729135635303,0.47539882998732697,0.5286988733823811,0.5292106826769432,0.638867076100671,0.9367789992819551,0.9712020332229896,0.5323654257609111,0.4916393945074524,0.45629200187678687,0.46822187709101204,0.5059556725799298,0.5211638234326627,0.5508805020923675,0.5453018865459652,0.5660198421000373,0.6575200469035363,0.6955153450203588,0.7171079807021411,0.9025677894125158,0.9630648632414652,0.9081967593327651,0.7961692464651682,0.6644311952003762,0.6294194744593727,0.5762249402984403,0.5248448645652237,0.5107915612148342,0.5483145914332256,0.5960216091989514,0.5782396335288029,0.5729336850559199,0.6007829486567887,0.6143782346878054,0.7112317256839066,0.8097371103868656,0.8036875627820841,0.738243201522254,0.6886415210058717,0.9686931357013763,1.4966635265957937,1.2358939476046518,1.7403486228300595,1.67319931744022,1.4399233238148703,1.329269164291856,1.1832056516931702,1.267050108686995,1.215386540285957,1.0883661662444661,1.040725509078882,1.2773787335086462,0.9549093790704336,1.0517091929838687,1.0304438343710443,0.8644265063523321,0.8798729531555849,1.0449034146576217,0.9414633439831818,0.8557388524141073,0.9814838443650925,1.0642546740716656,0.9082722640015006,0.9456368935564704,1.190430100102753,1.1047568508305012,1.0797331836683537,1.0169039909188669,0.971673179332374,0.9657263890987674,0.8587338462005888,0.8423586432499561,0.966537462200734,1.707190005131431,1.2370578364079787,1.146776309274447,0.9199648970840202,0.8912885106566907,1.0117715570610053,1.0013349464820283,0.9785433660509162,0.9390307272995325,0.9949065044933666,1.2621987283299818,1.2138769723101028,1.075880470974691,1.3002519231044787,1.456931291351983,1.3083549848159268,1.3699292671492371,1.0383889053062945,0.9900265384066446,1.0145071404430128,1.0496495811726678,1.2244921390757895,1.1929994943349271,1.412606498326239,1.207284900758449,1.1037102304775508,1.3312116966696133,1.353835595158497,1.1259864379337778,1.2623137512166112,1.4269582018855291,1.2619313558620477,1.1478900293894128,1.3009588051868555,1.4687268841645675,1.1014712430354399,1.0261313292869725,0.8919402244578107,0.8762087090834306,0.9423895513771312,0.8514942660328773,0.7914061180448382,0.8126648988273074,0.8264128420245331,0.8370799887428447,0.8713248498433993,0.8685513740066687,0.9924673543814085,1.1761678712838535,1.0518643011523534,1.1590848351121796,1.2809425797412866,1.4085141624570157,1.3409361074677386,1.1958317783512145,1.786831124062833,1.766009481613105,1.2570608249209687,1.078182352633071,0.8688089147325507,0.8638589694843032,1.0134586233929568,0.9524088416395622,1.213500442733633,1.0349068955129863,0.9103514878563057,0.8919211081058793,0.9424996801533231,0.7765664722842502,1.1175052335525941,0.731114332374003,0.7201406136468559,1.4014179699055165,0.7953117301045909,0.8135153476157639,0.9982473183964772,1.135480671708456,1.0691365508891584,0.9821908526801207,1.1348286782215742,1.33173019043242,1.6395257746666534,2.057929096778444],[0.7913196592821596,0.5991390516343438,0.8752171705139223,0.41003617916475066,0.5584903363812543,0.5024921271957674,0.5027656568288544,0.5452386505060678,0.5555711228063328,0.5996812555863559,0.6615504618223566,0.6742499019829561,0.7365887224161269,0.8156602257356286,1.0881802681505788,0.9706360055200002,1.0087378448122342,1.147182173761645,1.321664676483725,1.1634352379986914,1.2896099845216051,1.2316259748192981,1.3911723289660205,1.3971821665831015,1.3080070485576565,1.2757190305989323,1.0741648663987662,1.1001059576022758,1.0406185361869955,0.8927619672605354,1.073692641729122,0.8903967422078324,0.9560623040965558,1.0296991413197727,0.9764733263818427,1.0165660210325573,0.9067325997548006,0.943371593554417,0.9146014001641406,0.8011442350231267,0.9412140052129484,1.1154117445490912,1.0459927300605958,1.264368559062726,1.533319896648709,2.0514903061314804,2.4248748048834092,1.6006903346931756,2.5804458657888247,2.7234057245330017,1.6486474405545,1.9149237800615615,1.216820172911417,1.2257449662435653,1.2294050618980856,1.0799708663901253,1.1816990249977695,1.1035754978086378,1.1468965028110956,1.581662754801014,1.29046958542811,1.2744199393659184,1.2201777824248072,1.3749366255090159,1.2502257582979266,1.2208166140034404,1.3822887289896406,1.2709991314183298,1.3477770534268891,1.4024704921128783,1.436050076591086,1.6155880524601844,1.4518566796011674,1.5027438547264915,1.3214845704627365,1.5747069164943546,1.2377387763239946,1.1923170345010752,1.1147877477209658,1.115684522741941,0.9234292448815187,0.9078137978467249,0.8621255941535579,0.7326075202156687,0.763048260357972,0.7975133793201632,0.9501048757031934,0.9259293881289551,1.0464734251385295,1.1069746998138217,1.1100974987889285,1.261060797515888,1.2370437071122935,1.1039425107123508,1.0571918243340084,1.1399691743394655,1.185668202319798,0.9379953097960104,0.807476370835439,0.7099470799273465,0.7270489159418877,0.5870442336391445,0.6136370581105158,0.5726574414372873,0.5714638036937288,0.609218909691664,0.6777960340145516,0.838003511921254,0.7697511658870154,0.6555231801552257,0.591519578122516,0.5458218195245128,0.5091290740538991,0.5142376148510203,0.6662569460853667,0.7959212597812492,1.0521573217761886,1.754265598359817,1.5815721109078382,1.2517822257246616,1.2763009935155156,1.1191981160838147,1.097142216426453,0.6489141923510171,0.4718667392681188,0.48326285745492636,0.6095162523897719,0.5736861507093154,0.6632745738350596,0.765102502304919,0.9425066619107686,0.9480576591099121,1.011033203595791,0.8476082026639818,0.8945413613833482,0.9270817885961062,0.8925651721239347,0.7139001300737392,0.6519858827042926,0.9460220395899744,0.7963936916007059,0.9253828127063767,1.104328426719177,0.934908573347395,0.8773572812445617,0.833790138540225,0.7439873705301527,0.6591184321135577,0.5279680077706814,0.5352616670193873,0.5254150899088949,0.5736739268988341,0.6716346456361642,0.9275116186902599,0.9915387602725809,0.6155620312577669,0.6193006301601731,0.5123573806875495,0.6184395648728837,0.5250149506548751,0.5421216059673726,0.6969172898894009,0.6740099242642156,0.716195773129658,0.7712021463074712,0.7320386080059874,0.7600690895430227,0.9765879675250845,1.0493493562267981,0.9520093217910639,0.835276101344931,0.7059676862829108,0.6603148116980198,0.6089594518339654,0.5988426147275744,0.5664198157874136,0.6549332163209705,0.6322739545762311,0.6914931292038329,0.6155198510387347,0.6665539594762399,0.6196937194535116,0.7424254201991971,0.8533129708437782,0.8340643768756799,0.7849163267093654,0.7851842061193351,1.0623316228835793,1.5899936480704122,1.349653754810791,1.9471249039826024,1.8227106827203274,1.6219816428352019,1.496711723849314,1.361610260059966,1.4686326360134374,1.3760475995945687,1.232013806438545,1.1763376888455603,1.2487553687257127,1.001628611998795,0.9832506813838082,0.9712345536606066,0.8884975663644064,0.8521590772055082,0.926786950696242,0.8802356649217901,0.8482066317157749,0.8512566052388882,0.9321654131213803,0.8460272863715314,0.8446953823420771,1.0216328317808416,1.0180040773004482,1.0452000999506623,1.082550653649408,0.9318954811916701,1.1259604809092778,0.9589608012520222,0.9286120776749726,1.102440768798365,1.8030163890561888,1.4340656024554062,1.194317065704667,1.0741036522691902,1.0220005484303307,1.0831191617614166,1.1610662323710081,1.2114756659320014,1.139302100910448,1.1491661362003323,1.5231263402460735,1.4544032562354767,1.2940920338513835,1.5343288536611845,1.7494496882300739,1.588766184315449,1.5885939066710508,1.2362356015823373,1.0955120041259692,1.1000717493115515,1.0765840528425399,1.185847495967508,1.1307653306432517,1.317191933029042,1.1309017229357698,1.0139670568226404,1.1819811028267286,1.1956613651708008,0.969631933329318,1.0579146688049796,1.211819872362208,1.0643383303302032,0.9576941590562231,1.076993405806081,1.2867412565604937,0.9083248270326487,0.8412505815730372,0.7772552547792863,0.7953688574985618,0.8683969726287755,0.8785328701951188,0.853270797395778,0.8290263215192157,0.9215218021908076,1.0163149231701356,1.021339085242421,1.0515192537416789,1.26415722832044,1.4420167588128727,1.2788752149627167,1.4188605354095452,1.5921477725540083,1.6750107782793358,1.5872219257338096,1.3760441726757477,2.019330447191264,1.9190260553289442,1.4359072553385743,1.2222195522963948,0.9851307424530241,0.8913999764799336,1.1289733770482508,1.06570266500336,1.3485128550570635,1.1187790792854022,1.0259184275519122,0.8892729302745791,1.0478129515980428,0.7404677433269662,0.9469814541222976,0.6807062885223739,0.6343815918279138,1.1217089440304029,0.6854056820247496,0.6891718496010816,0.8402627339281709,1.0297475987711617,0.8774387426201653,0.8702345469408123,1.0767174587293384,1.3273066582366293,1.718291023647645,2.1065878274478123],[0.8095615821034017,0.5763866619733589,0.8176704869125189,0.39858954760421605,0.58449538249091,0.5002884063663274,0.5907182104571359,0.7152114332108629,0.7698986104438356,0.8877159509588853,0.9927350912956414,0.9971081066909461,1.0729312322371023,1.1547901337447002,1.475623354744976,1.3541645825023756,1.3582555553313145,1.4994362982653253,1.5879033893292602,1.436854038845862,1.5196877307260888,1.4176066826665603,1.5326431561279557,1.4637267308340534,1.3981548155751886,1.4374021972263629,1.2768034024293722,1.3423245580833558,1.350592465086209,1.2503074575424864,1.4683902458140958,1.2923855544437337,1.3841119009265153,1.438297636476115,1.3561272953843004,1.3773305739935109,1.2415771117807934,1.2123654952809393,1.1339432392217021,0.9860071485648118,1.0820348410022456,1.3166736408458066,1.2547581560866943,1.4138479426284758,1.5456453776329189,1.9802619008123814,2.26157269270775,1.6260450259396049,2.588718968533126,2.614182113040885,1.7186114814267381,1.9544129054945831,1.3521492203606096,1.4062792687608419,1.3280457206852903,1.2861014498796384,1.3660172275077243,1.3258551041246383,1.3810233868404083,1.7653890802646812,1.4775512179608714,1.512163849664458,1.52087525961369,1.6223025774164115,1.4677324871592359,1.491586836430164,1.6785595771180484,1.6018075568317112,1.670373093665553,1.7804176771113314,1.787257161631829,1.9576750394184257,1.8220206971486355,1.8261736658611143,1.674238420887048,1.896441123527593,1.5652013003460898,1.5502806524170205,1.4589522757689948,1.4192483473792172,1.2390793981962802,1.150186352387,1.0998146133005897,0.9719300359366891,1.0022025718638545,1.0609769546422676,1.223328920603079,1.2435202979805566,1.3803274192097061,1.4771378001884048,1.491552535091614,1.6159078686316228,1.618060942889939,1.521754331915704,1.4761500166392467,1.5523885056196343,1.5820431965217727,1.3575917765874235,1.2039743039598514,1.08770940664666,1.112424935030716,0.8561990718377007,0.9318135196535708,0.7780848515742124,0.685017204055808,0.668214098496602,0.6650109609804827,0.7692116820546318,0.6599221074242216,0.6409213400741528,0.5417240896690608,0.6095102100596922,0.6583787478116623,0.667054005202869,0.9311713594965896,0.980348575372464,1.2678351238570527,1.7027020740013443,1.8205228544472567,1.574433676129456,1.593178389366215,1.4175068222104819,1.2643428305231683,0.8396110304320726,0.6091593896818093,0.5543668425475847,0.5007945423596583,0.5593745464769231,0.60760091538641,0.7214069714185222,0.8569142892655309,0.8519200790824166,0.9623639809155456,0.8177340486931487,0.8690352703984817,0.8850019349042035,0.7939576465377767,0.6981595618926194,0.7353499563408988,1.0188116538845782,0.6722481712294025,0.980231209063129,1.116285343490568,0.9691414293002134,1.0003862696680883,1.0588498126652703,0.95333205698908,0.9346673081999701,0.7614084545042265,0.7787991689523728,0.6448562609504273,0.8358934905688671,0.8755556930203364,1.194758141932306,1.317847497119051,0.9346555604999148,0.9476433800754269,0.7640048226479981,0.9373889368526551,0.7373067185009434,0.746495756482682,0.9367584378057084,0.8214028009165862,0.8926660308010836,0.8425230649193383,0.8373142251430646,0.8481158402436498,1.0601907581003274,1.121107555556705,1.0417338036914114,0.9126343327442301,0.8214288665126979,0.7787269124311621,0.7636877638708242,0.8134362374756161,0.7897148411855698,0.940375113522402,0.9065793837960241,0.9292210693351575,0.8106401879535764,0.8224113815797497,0.7015827493949548,0.7829498973724723,0.8814175794270588,0.8732456161364235,0.8453294312181001,0.8653092651099836,1.1656928842853285,1.6822266040275182,1.4126163600027022,2.0056589232002864,1.9254112305323043,1.6274797449622176,1.4854366610048197,1.3330430168679723,1.4051119927718119,1.3066036587257825,1.1552102072834336,1.093753831550728,1.20502890563022,0.9211492455359769,0.949345657423119,0.932881727248117,0.8134631692492071,0.7971021445485998,0.9468986777418864,0.8560292460993659,0.8053563551891337,0.8824433921169411,0.9878787909167946,0.851714955391953,0.875173781723977,1.1299644143182253,1.0727167604885075,1.0520136200589612,1.0178663033789022,0.9295510150223868,1.0453493301679468,0.8790210606049892,0.8429416878628944,1.0098374753317052,1.7505491291974222,1.343632302466601,1.1149890648137315,0.9773299686012428,0.9161197271381843,0.9883981408281236,1.0467483958331654,1.0927730638696822,1.0237694695208766,1.0452515605834043,1.4414017807566621,1.3687971117441158,1.203155302650166,1.4703244675696594,1.7003585038455509,1.526407817043442,1.52208100684536,1.151712191625949,1.0003058783932273,1.020686423174027,1.007661570053519,1.1296322010699127,1.1138893159675156,1.3377519641438878,1.1091694520743771,1.0114117811075847,1.2473834857341282,1.2547450873919712,1.0198718923229355,1.1733395856258901,1.364480320628057,1.1791397231850254,1.0536819277652083,1.2272537802060313,1.4001502035951625,1.0155386457030213,0.9277672461036922,0.7961262902389737,0.7860025790998124,0.8474142258300921,0.8152809780548441,0.7552106484520683,0.7588317852904145,0.8151452184227359,0.8972720561248992,0.9260720491351374,0.9395377903970913,1.1454137450798534,1.3518699999506454,1.1926231288390015,1.3318174955076219,1.5221354913335496,1.6147408976695783,1.5281493352448037,1.3125116537735393,1.985489821634992,1.8895392693578603,1.3817891267356712,1.1615602385607708,0.909911218834642,0.8510666202406345,1.0673283413496535,1.0047736440702715,1.3048783464109575,1.0828012230718929,0.9468555192757859,0.8295072572493505,0.9295605300313116,0.6991927897896567,1.0520914610151006,0.6215529990295801,0.6336841411788586,1.1344411178239922,0.7220863102671485,0.8114936117191164,0.949736418561,1.0928448108865148,1.0830676188378152,1.0245174167416116,1.2411574182698335,1.398844809232761,1.737200913576394,2.267026856320826],[1.1259979547868348,0.806738485163609,1.0477294887224926,0.7003929648552834,0.8688485107840558,0.7646067503562505,0.8329347212264673,0.9150810883805229,0.8977314226633206,0.9341347626044576,0.9562637710550728,1.0076239854878701,1.032535359314199,1.0655058814450558,1.2909343756439924,1.1748897816380643,1.1412344737324804,1.136113221925736,1.0918813825497684,1.0300802287409945,1.013374725944962,0.998287439778995,1.0178878502533693,1.0260631772806261,0.9848834115595593,0.9477935548307053,0.93735498577097,1.0003286510145708,1.0795938003588825,1.078949300520935,1.172547160627079,1.1322926324645979,1.18368035154087,1.1681820753056071,1.1179344053476523,1.0894438160516842,1.076661057236334,0.9853960626566333,0.9297428058705008,0.8412976768217901,0.8906820934001226,0.9614435601253182,0.9109817866874981,1.1208497915306306,1.2601339890699454,1.7362260532298601,1.9761588137964883,1.3519805129302787,2.5215660649153313,2.4746432767497613,1.480608728260978,1.7550829772733592,1.0987476768562894,1.2159590446922122,1.166366041172996,0.9662862626563241,1.0590584132744316,1.0651880615227287,1.0892043142044279,1.3952910817177087,1.070756369289282,1.1022123807848498,1.1170969024665633,1.1344166261659998,1.0174294144201799,1.0616926022205362,1.1456104508891924,1.141774227007551,1.135576080348427,1.307860428640228,1.2399367389060856,1.3573803638731592,1.3107418318705721,1.2933756196913127,1.2185053380010227,1.5332555912188353,1.1449658184601257,1.1573475825273218,1.106075336027722,1.0850161666122746,1.008377150044985,0.9757757617545627,1.0558096667028602,0.8589366332403906,0.865051092886388,0.9242121171778849,0.9953374797132729,1.0343418934479807,1.0611348734591481,1.1852137034548877,1.1401226797343982,1.2434326343303062,1.256444356630421,1.226060960192066,1.2197328712466249,1.299051765703223,1.3554753387190348,1.196381247809357,1.1337336204006732,1.104303162488218,1.072263682036981,0.9315185616393473,0.9475274204693497,0.8687580195546439,0.7873844536954319,0.7649518467965853,0.7317614271952185,0.7366169271628393,0.737704149229931,0.8352298738796401,0.708094740315176,0.762752682839796,0.8349602183458007,0.7966188161644417,0.9267315595424901,0.9184776151840638,1.0177512800836421,1.4326546205312212,1.1916803380377885,1.1349544383866337,1.1916978465740058,1.2130549156098267,1.1735875173679824,0.8965193663350012,0.7553986579002399,0.6925830351643026,0.6245635383889767,0.6943146440233275,0.6957548066168402,0.746507587126677,0.8912015186902353,0.842556346804617,0.8454004814140265,0.7705621976819346,0.7969895432102128,0.8097716130100173,0.8387771276721914,0.7605828921402852,1.0499990626346836,0.9835415498470561,1.0200260659589417,1.0305419706210432,0.818577978926107,0.7765437445354402,0.7687899052586139,0.8864780635639861,0.8624043940238937,0.9061440454731431,0.8401643198013306,0.8745961273115193,0.792565596775999,0.9993942102821595,1.0430922645964684,1.3556657337834634,1.4014891618930576,1.0387715701024864,1.0099305476509923,0.8669325961578915,0.9494564400147625,0.8352367380283081,0.8198146664237241,0.8886838616681958,0.7891151202052924,0.8107329176657913,0.8031836392845826,0.7888019409863486,0.7797970056058626,0.9311365771494913,0.9717593087685195,0.9651621189957195,0.8541364750128265,0.7806344250752882,0.7702621216903204,0.7848471390731497,0.8162017214207844,0.8417532735601446,0.944293673608193,0.9420450360772818,0.8828774129687452,0.8278334749380435,0.8047068394706304,0.781281262529668,0.8131120964349519,0.8771603347635055,0.8766501615815407,0.8446430175401289,0.8236903526754593,1.085389505608972,1.5734455137342653,1.3194277794948157,1.7279871498214838,1.8121792428594858,1.437566298061279,1.3114903317653108,1.1577770427869818,1.2016805099288446,1.1463262880705178,1.0366797968619144,0.9761010563101743,1.4616918973865607,1.0838988401685394,1.2688664939823244,1.218580388750372,1.0033782648549285,1.088770050935096,1.3141118846161122,1.13125746199206,1.055161461629633,1.2814042500060736,1.3363542420663814,1.1382041970229761,1.215441402840965,1.4891186178931197,1.3368637140872695,1.257242512315815,1.1245345227230958,1.1799203589541083,0.9752859511169027,0.9461095027134618,0.9630215421000761,1.0040563274659837,1.7285459796575158,1.27912550040047,1.3119357815274222,1.102169939494757,1.0373099582992815,1.1610172228749505,1.0302792734086554,0.9396403977666286,0.9558578001491538,0.9783471666162751,1.1255698474082723,1.081943161884533,0.9723098025729235,1.2302980953042766,1.2682847317820345,1.131912608284973,1.2672517716820517,0.9528902901665033,1.0537143614224043,1.1259311692038285,1.2029446691592234,1.417560271519788,1.4976397004999389,1.71448886936397,1.4548170421061628,1.410394409077527,1.686619758291681,1.6750944799498726,1.449604956246546,1.6437583887045224,1.8259045651330246,1.613122562430604,1.507110801429021,1.6944217619424746,1.7786330746180736,1.4531454972519842,1.3797468276438176,1.1978515130779332,1.1907862599071568,1.2342644283911954,1.1046487294143936,0.9749447787020009,1.0061743034589854,0.9573415892200935,0.8742403847541547,0.9349240011669008,0.8598463095714671,0.8763802175643938,1.0326271813829937,0.9659690906546261,1.007878555917848,1.1208217636858429,1.2550489058983547,1.2254609991588152,1.125657139828046,1.6785730619031063,1.7303091149067997,1.1934005610102723,1.0778359286165824,0.9373020923183785,0.9973798702522734,1.0733278522288983,0.9943114792473043,1.1780402072770426,1.0599006902562544,0.926124880358275,0.9998153485280095,0.8144605824074804,0.9239710472398025,1.4686642049705478,0.8806926260169203,0.9077975157321042,1.2799938863637654,0.9624828798505017,1.0777488448337544,1.1278283102437805,1.2232909893637793,1.2569115281627115,1.1687061072130296,1.3934973172414666,1.5864077453447434,1.8665578320175054,2.4000067946639185],[0.9065086596608856,0.7310250230450925,0.9498613146203999,0.6079200632254563,0.7356251786111716,0.6075164902061119,0.6438543397131914,0.7097333552970533,0.6963486957626996,0.700260763044928,0.724706829892945,0.7652664577972949,0.7942039482450886,0.8041768197802853,1.0183166305377271,0.9249808337049295,0.936832796936765,0.9798146864820847,1.06214093116209,0.9412922663235764,0.9759690321990373,0.955465834796622,1.0335484896162839,1.0436799793843372,1.0220098454636828,0.9697787196569064,0.8888458689866596,0.9551974052241686,0.9450065976077016,0.8603842002755652,0.9511878612627315,0.873090720417928,0.9150054177931337,0.9198768569887656,0.8958214680243554,0.8964217630725103,0.8767018484036675,0.8520350993423658,0.8395910501912238,0.7520394494602295,0.8263527220188159,0.9148281699247713,0.8489439872133504,1.0784457174494284,1.3496407625698423,1.940656141782575,2.251585451516565,1.4278405676083565,2.60892592223695,2.6868670524871194,1.5438621277289968,1.8694696472653891,1.145215806539427,1.187349783138196,1.1478554779360925,0.9468176942164902,1.0150169637165942,0.9391872049238603,0.9821117988193154,1.372493717091047,1.0770739520149986,1.0362584974852582,0.9929246144901318,1.0533478022856995,0.9634355449447676,0.9730234361724545,1.0624842622088755,1.0095370619140618,1.0325148327680789,1.1323193560914677,1.1352184444072146,1.2907144418743655,1.1366448954073682,1.1689576388195453,1.0823265360944125,1.3079021148967198,1.0076866983498125,0.9932807877717141,0.9450123011775305,0.9477531514713264,0.8431390266540684,0.8528115029435737,0.8744182870675372,0.7566090850016806,0.774728404713164,0.7786636789662325,0.8622185405162389,0.8853716772123006,0.9026351525671217,0.9739961127780424,0.9390287576696227,1.069841000286695,1.0693042495688418,0.9751309136971297,0.9600497738310638,1.026125505828978,1.1287147917352816,0.9276120512577885,0.8535874811215405,0.7882250568282844,0.797972583581455,0.6942326771498336,0.7077057903200199,0.6623878170850986,0.6232024774029122,0.6291877261678226,0.6451846026828884,0.7461917245552836,0.671140614968619,0.641088918532862,0.5696236791582302,0.5982005592172986,0.6399352633605714,0.6221537824950392,0.740191444202936,0.8340408056611963,0.9881009120126865,1.7132555071892386,1.2147660055103342,1.0415982759737086,1.0691938128421232,1.0270375109421617,1.026667202305765,0.7100062096306331,0.607926734189697,0.568783441555565,0.5320204789787758,0.5713127461277213,0.6043641738905708,0.7298455317543316,0.8464568457621661,0.8216296010776778,0.889803033629526,0.7954729418418948,0.8363161129001343,0.8880359485094248,0.7828742793131835,0.6981719742783677,0.8139186700438553,0.9639836060869676,0.7191248140051544,0.9673308354997724,0.952900270245117,0.8676103799334783,0.7779944343404698,0.7885408294212634,0.7516798314984626,0.7071149145594662,0.626967577944078,0.6649658978919898,0.5976650491316648,0.7351259181589854,0.787626295380216,1.0273826553544354,1.0682053484303389,0.7426173662725402,0.7389257357895208,0.6310882200464758,0.7188075029665756,0.6398490864578475,0.639024712847769,0.7333102213405899,0.7049742651738536,0.7262101190469793,0.7584558283471325,0.7770737945883514,0.7804949664703931,0.9310876993225042,0.9864310920536054,0.9685990730769993,0.8583686338687972,0.7655177220680686,0.7222348066899564,0.6757870225264793,0.6651158290370548,0.6470578103459627,0.7108803515862543,0.7016255330104465,0.7250503676658812,0.6791171980328125,0.7178001225153093,0.6720326183763085,0.7749729604686567,0.859169595940236,0.8573961511793435,0.7987028753671751,0.7686910354911395,1.0954812663041518,1.6533280069584362,1.374125002430878,1.839799959400882,1.857834979448048,1.5119677640427973,1.3725587155932166,1.2065894011116138,1.2311377250184055,1.1782056233099487,1.065015346524506,1.0133776178584568,1.2558845136460999,0.9513157213319541,1.020738600177027,0.9913791564484566,0.8549363410162768,0.8676797383882285,1.019347811163793,0.9203044489190372,0.8792346719302103,0.9672080147143529,1.0420875741627162,0.9222936758371068,0.9521183870254121,1.1605913601646274,1.1122352415018835,1.07493590696861,1.0324105263268053,0.9855863969262256,0.9803656800621486,0.872474294133875,0.8452854134461721,0.9463426241152597,1.700446324582483,1.2921065918031573,1.1502569157818554,1.029390664430709,0.9415974868193622,1.027472328350804,0.9995067314493086,0.9697127646834572,0.9566212266043022,0.9796165445786544,1.2592944762999487,1.1914632922721968,1.0585230863528845,1.3116701667766033,1.4031191410285655,1.2886327342708572,1.3369404515616468,1.030242111351593,0.9769835426045256,1.0176613016685032,1.0462307691947608,1.1942448153008702,1.2033017240419737,1.4132094883548822,1.1842549857673454,1.0928238121075977,1.316387196431313,1.3067889887766344,1.097203270191033,1.2382442856379914,1.3996799660022128,1.232738288980275,1.1279638711754914,1.2872705829800355,1.417708579149401,1.083063793086213,1.0104803722604245,0.890191458022727,0.8996701361964564,0.9455488369752636,0.8920673055170676,0.8015510087188686,0.8174657801884042,0.8275410359952651,0.8404810740595337,0.9090306419845257,0.8753321382593388,0.9654522413897714,1.1814781598130772,1.0859066707353895,1.1361852744972407,1.2841879160074712,1.3703253720614923,1.3330408187238292,1.196318773254157,1.7663798946300358,1.7943967310199407,1.2405695495115456,1.118615129906599,0.9361209530236685,0.8984954580118936,1.117729319229321,1.0233631971296067,1.222593661106883,1.127773878224167,0.9149562099704369,0.8709347407061213,0.8633233040905258,0.7696877459962975,1.147517671558815,0.6771336368198805,0.6721878664536914,0.983238684177128,0.7358936135373142,0.865380492508657,0.8605113032843378,0.9836563754202069,0.9694782396848519,0.942875306496919,1.2219509404879416,1.4004045845770194,1.8762586253774873,2.3548975468330053],[0.9639374612243147,0.7710416430811489,0.9693796100614636,0.6329543035947627,0.7770287818117787,0.6449435193197244,0.7311293089437082,0.868356747891285,0.8834742339306205,1.0001149137254748,1.0879017917000688,1.1294941509531211,1.199900085396785,1.2355642706616818,1.5551877056516457,1.4549126377620047,1.4826236531209964,1.607567680490432,1.710355269322526,1.541199043772614,1.5965807152627016,1.4756821463081282,1.5738233874200522,1.5042684732275848,1.4851148370228482,1.5412863273006185,1.4001443335713573,1.5228111277763692,1.4924724181894433,1.3728281303324226,1.5515013147687682,1.3983469888513878,1.4566427124450285,1.5080515704589954,1.45967014962168,1.4791966961124163,1.3633279787327024,1.3322114258997186,1.2589690729928227,1.0560541723779455,1.155443895526648,1.401299922684102,1.315173696862753,1.4269866458242992,1.5642057142393437,1.9839580085650914,2.3188820096413028,1.635531720452278,2.5707845766232604,2.631384659749946,1.7188032685824537,1.944622648784949,1.363916791793978,1.4107317935362174,1.424953311126015,1.3053573463244843,1.3833303996430761,1.403281826102959,1.4262038050395331,1.7423402276480007,1.4984944332625434,1.5370063351273129,1.5532970141819287,1.6472478925713836,1.4884019137959823,1.5345282988650393,1.6985615258426696,1.6617566930491665,1.7043497365998084,1.7952366292473727,1.8170695809317285,1.9560840395973702,1.8108363121348683,1.794773529005258,1.7205890449426349,1.8956994030541672,1.6218807027992206,1.6111763902999106,1.5301077264472454,1.4933760758145407,1.3324840279564036,1.2409056457463912,1.1947265812172572,1.0349785517819863,1.0624367511183326,1.169780254091671,1.3254171881587076,1.339314267289442,1.471065959965941,1.549433180415069,1.5560338950680415,1.6453106787926024,1.6693719609870135,1.5891471700283797,1.5509419416479782,1.6141410007703618,1.641287338132808,1.4382153652416236,1.303996796432712,1.1753567184335107,1.2303211416001048,0.9870401250450297,1.0700953703690743,0.8666056200200168,0.7532597543418696,0.7222102119502202,0.716229388125673,0.7904993374040615,0.7194702886625981,0.7016129920360658,0.636470117334578,0.6920873273496742,0.7925240736743029,0.8036759137996744,1.0915263177874375,1.1776660477957706,1.494132895801731,2.018014769720436,1.924443240846724,1.7107797621114484,1.6881341081879186,1.532897372211916,1.3971633520342956,0.9872669375308946,0.771466014370069,0.6605572395903434,0.6068860038858213,0.625912526545694,0.660378662538108,0.7491354970429761,0.9108506277623128,0.8974068351455897,1.0030951271478412,0.8475552046864919,0.9014676247577175,0.8742074812021248,0.8345590713371587,0.734398095671772,0.7457235574800026,1.140176333727897,0.9070789531567095,0.9489075393228197,1.3322550289750537,1.2186656099267112,1.1653053352757392,1.2238657681247274,1.1241092424229426,1.0725306108980537,0.8890716953338844,0.9184214301750346,0.7466196270850527,0.9879628507445618,1.012275114264159,1.2548430006234115,1.3943746053014052,1.0641968575584377,1.0911684350709847,0.8987118000406236,1.084034072232918,0.8593718152635561,0.8387692772001697,1.0621772727986296,0.9263753613585012,0.9740636745988425,0.885151325257488,0.8339955803212208,0.8552328986593161,1.0716257566008172,1.1377715585665953,1.0736585543762969,0.9346500167305621,0.8345255823207915,0.7965154219690506,0.8155050826185503,0.8996912117406815,0.8891793492888838,1.0563574843241508,0.982239258485004,1.0114273391976472,0.8878918600062481,0.8741426843508692,0.7397215782240812,0.8153143031683246,0.8994070799707456,0.8851294520441724,0.8599639140775165,0.9035641204650917,1.1516958289355075,1.6809501516917267,1.4421720980883181,2.0184968313555736,1.979697664367331,1.6380322926205635,1.497273380961418,1.3652821093643455,1.4442708806133149,1.3689147096585825,1.2435650970500092,1.1910929752758754,1.212456214107515,0.9984372146528765,0.9806006282713456,0.9608929829108113,0.9079929506901597,0.8673128731485263,0.9634500814418473,0.9297372457104274,0.8949302810724213,0.9148585332818323,0.9994960095679203,0.9085408414140911,0.9169880236338033,1.1143846009158804,1.0934600092227715,1.0742559701044554,1.0851469169105896,0.9688802083641564,1.1531385881181864,0.9851644833955128,0.9376217500886598,1.0870457375745126,1.7929003684548337,1.4174369674637362,1.1564150543223892,1.1127928439798234,1.0527658824988682,1.0875660855264317,1.178192942879414,1.2104688244334056,1.1442772581165994,1.1608085245167263,1.5602270781771188,1.4687322826279157,1.3137271327325877,1.565210539617041,1.7953974539520174,1.6503938052814155,1.5857690002143991,1.2701188676903739,1.0745408421750011,1.1118979702357077,1.0901766174602279,1.1603743104339528,1.1598941436023213,1.363471692449869,1.1397698391591893,1.049621745142234,1.2513106710237163,1.2368599209076847,1.024243020393594,1.1566104185727784,1.326799645495126,1.1600658227435647,1.0435674176803151,1.2032586365989877,1.3474684316952998,1.0094683400406683,0.9415529609843021,0.8604616201763582,0.8666244046181129,0.9089851993263534,0.9116365656570038,0.8710228837651864,0.8604156110241288,0.9199020619909627,1.0283439401265244,1.0625011729677822,1.0658007073956104,1.2593093422025239,1.4838290963368663,1.3301092618346506,1.4364532347115757,1.626731966848227,1.7007699987572864,1.6184341281594223,1.4204449624564708,2.0667482879385712,2.0051874731028354,1.469235500934638,1.2733682857832533,1.0484873904937155,0.9486656218612566,1.2220710290062273,1.1484986889942082,1.4095389104313854,1.2362674930213589,1.0618156004942068,0.9041995562852299,0.9814001520306666,0.7803932953796384,1.1048346121025445,0.6951431091431041,0.7001810468867956,0.9107129537956488,0.7584450528045783,0.8852433136538349,0.8567584550523449,0.9384067219645293,0.9477120042173037,0.9533077272842441,1.186016057771982,1.4554876031045614,1.8697722508171777,2.430932217193012],[1.5974936240457025,1.273925109652495,1.221560009836911,1.1033053001844442,0.9610063770374824,1.198933689871896,1.3295056625319124,1.4778763561749342,1.7518676103246265,1.964513508365932,2.1719877151922717,2.084124895234098,2.0108773179741797,2.327413127190815,2.544269206559615,2.2576508158317874,2.1948691322815415,2.2241298531191203,2.1113223125920597,1.7104641426675338,1.6211369644908808,1.3559663210758484,1.415066885369159,1.2791636485033986,1.2942836949329066,1.4379441503798835,1.4274119876880524,1.773843612240434,1.88230961951791,1.845836633203672,2.2524134405513787,1.9745608717204186,2.113788114204402,2.0454335877973584,1.8728804312392928,1.8243345570708243,1.6604078959195503,1.4692572620343707,1.3462835049134103,1.3873626585874927,1.3844572918083133,1.3300080923331874,1.2821891128925642,1.513993981901416,1.4758505924771752,2.082757941742534,2.1500337961839047,1.6147789607017147,2.6873475396824498,2.720328303851624,2.062847350976609,1.9671125884907283,1.6335152062650973,1.607750347594114,1.429481686322402,1.425666916760828,1.4397281895091658,1.4094026475238917,1.4426851119864772,1.8528321282383984,1.4579692754846083,1.5087058794387795,1.6032584831782064,1.6573208630830796,1.4477153592366314,1.5686108232212304,1.9251764734687908,2.0900202680842566,2.375544398656026,2.7132654870683046,2.847469659695146,3.039615551983556,2.747079186648133,2.437971949210719,2.33527978392114,2.28491196396635,1.873784412214828,1.9054701760526314,1.706214451707491,1.5390255640078003,1.4651522017144576,1.3548959128150735,1.3587254669592808,1.3443291471591592,1.3920768718229224,1.3277122553622653,1.4068065744755167,1.537585881569389,1.6642486518916555,1.8819196584578481,2.035947455784275,2.2145843100449296,2.380444849256422,2.3618175654531024,2.4130608395599342,2.6418685491979113,2.695298362169041,2.29867882276577,2.14244403880922,1.9508142697916182,1.8150654817241405,1.4977579594636075,1.448718020660064,1.2773162337468211,1.2663795448918256,1.206179721059295,1.269281246511717,1.3991264940482924,1.2098867858607314,1.1401714484694132,0.9625801388478398,1.0626840919126128,1.2242576394279356,1.1833997968269132,1.7065586570533382,1.6704018611186686,2.0363564746468046,2.3025317119075437,2.483290074094689,2.5126514722568642,2.7522283425720513,2.6188687982203316,2.3513450403182423,1.7965492243061432,1.4844166289534149,1.0135029955620058,0.932438222154089,1.0016661710911186,1.1312464343988822,1.4118338722485062,1.699604976987624,1.7844257764262437,2.105990514122879,1.795439570859614,1.9512574285292743,1.592302883178504,1.5159894340774003,1.4318840409954314,1.426688419358171,1.3028492764976103,1.4779498874045036,2.1611245808439725,1.279655482305806,1.2686734694002484,1.2914210153119001,1.402774073684839,1.3536662772011407,1.465481074203856,1.2728911513187104,1.4237676070434806,1.197838891944425,1.6477445030641864,1.5532882891370914,1.9604876374612468,2.1441962386499407,1.727969383524541,1.723114470901063,1.3875900333886182,1.5506312774796622,1.2557573033415372,1.2261091286777535,1.2942058827844705,1.3393428209392724,1.4057171544634002,1.8512611013139233,2.3825554565641296,2.3982405860312497,2.785712684361026,2.732127197074584,2.5590448804732646,2.3250921993590623,1.9427285686899536,1.7392995067362098,1.474653683860434,1.325510145137868,1.2617673219910395,1.3445035430597843,1.3041802096999588,1.3285436665730757,1.3631541655367148,1.5696326477297846,1.4430550608268997,1.8252437271402835,2.1331782521654894,2.153111446419488,1.9394614407498794,1.7003194972814364,2.241660872924503,2.798318356483464,2.8050208273275823,3.2767905416908367,3.038877960265144,2.9871391372073584,2.803665944037068,2.5994874017044163,2.570472278957297,2.2713999766729858,2.0287098409639617,1.7028313915807343,1.693862334113971,1.4155679320415055,1.3205209456219988,1.2295688089946284,1.1080525940861907,1.0795289712764595,1.1299775833051386,0.9895302346334934,0.9531708041617147,1.0692394774161544,1.1543648889215015,0.9937974459580413,1.042488897985171,1.3686579948516138,1.3089060080837205,1.1825680908293268,1.0438295533376116,0.9952228083912887,0.9816674028625118,0.9050637173520646,0.8871396785345952,1.1179269889027093,1.7701029917418178,1.5551602247066838,1.3029761387360175,1.4198463341262366,1.4977075336348382,1.5671008292186503,1.7196188379877708,1.6479151782536845,1.5824902993352432,1.7168935428565755,2.0663036471762775,1.903744745247615,1.8672429090322862,2.3232405239227365,2.345690228332348,2.0566299593243835,2.2808043010725383,1.697412050311275,1.7781808766688125,1.783877914855016,1.5320348913045652,1.6461357550071962,1.57022644663329,1.7271208069924255,1.5074394575736754,1.3565922280458818,1.5421237497048668,1.4901359822138136,1.278482697361588,1.3967884952505953,1.5883186697425213,1.373702153992019,1.2524915152961815,1.4767369303744389,1.601844830650488,1.2321469695674383,1.146866466415964,0.9964147711670291,1.054483742287472,1.164484407917895,1.1838371096652727,0.9851809572926175,0.9616482865147873,1.1816044982228109,1.1719311385517313,1.078146906766174,1.2301113004346758,1.4927181491296442,1.4993983764504133,1.352308203484855,1.6411254075743211,1.8334321750275393,1.7364031308904817,1.6494170651541316,1.366876777429873,1.9845035846089734,1.8606060057366327,1.2787658857416484,1.0766357882404733,0.9173530088912389,0.9405036680679835,1.0695596900082194,0.994531729690057,1.2775340194906182,1.238223919732815,1.1412284908440053,1.0300033906274761,1.2359549716603275,1.0538902481691252,1.3004538192242816,0.9849441941512143,0.9857809899946572,1.083056557192015,1.0953724335775654,1.2340929408992969,1.2429672235790379,1.1949091059666448,1.317463227039784,1.404720380458642,1.3967236680338033,1.989656178367942,2.3065581052765585,2.9342010591101246],[2.7733532815082613,2.5776222790130263,2.3583053221430683,2.3207014676191178,2.051834565052938,2.5652345099952925,2.729467178446276,2.9375542314920433,3.387825922380382,3.600752386737921,3.8500676243791943,3.728529161385623,3.5406024904467066,3.996446114215355,4.147103083706756,3.7418222607463214,3.59986503390552,3.508610188746183,3.215303213405048,2.7609877780108145,2.600007974069658,2.2276255505735008,2.325723877866269,2.1825591294456266,2.1666963527872443,2.447120153635362,2.3892433251183234,2.8302058051829224,3.056779546815983,3.1161224802086154,3.635490135337259,3.3575182230928817,3.524707357323997,3.3785450306156637,3.109291537143583,3.0065107434313547,2.762006156277676,2.37266395180896,2.0414683795440425,1.783566998961884,1.8980252905833999,2.0827872712161737,2.0084354325821256,2.0533025160129292,2.428859980981828,2.7421326949669758,3.006629483497889,2.2885583602361494,2.712417977678002,2.9549472286276126,2.306897925673538,2.2332716560900363,2.0793491568198585,1.7841818750730443,1.9966660311950677,2.0253155816599797,2.0575795836869486,2.1641856074558747,2.1774535049288275,2.5439907739281122,2.245670239356586,2.3584510685287388,2.5820174399472733,2.58092375654577,2.3410059746006766,2.4821292623592264,2.896983459804555,3.222421325255657,3.5126293360830805,4.009733320983171,4.07883612219577,4.186035442243349,3.992870667408633,3.544455451557737,3.5339647159060936,3.3731273560939776,2.96764113914344,3.0222445349111733,2.7547026533096277,2.4551632810409165,2.338127428122741,2.0115784678671433,2.133996345474586,1.7715088353080433,1.7353976874076036,2.0720449401721828,2.2378461162727326,2.535902139248471,2.736392404361234,3.064048787504334,3.2768879604811056,3.446565997458778,3.68499966366732,3.783719702943236,3.911301313451989,4.190487000294126,4.305501783631367,3.8535552032183036,3.7036457126686573,3.51264593127713,3.221954260800309,2.760690643913335,2.554077016842136,2.2012066374779895,1.6890360049769642,1.7233408660586327,1.6201738225197657,1.440273681760994,1.3976222059111079,1.6751145289665106,1.81887141147395,1.839703150736841,2.4138616557767474,2.218245995545295,3.0714359704399556,2.8838745778538404,3.241818453256074,3.31135977479806,3.495171104492082,3.7785743262602933,4.141858897641053,4.1496671580817255,3.760078144996795,3.215230276377648,2.8836523588292304,1.9451564350656239,1.9898215934138084,1.588364511149434,1.4227231987538171,1.3618055402819587,1.4448414819981727,1.5095367427479374,1.8397042679849664,1.580261708073043,1.655409259575737,1.3952955559006437,1.36969295003886,1.2525222288359372,1.2024160220763966,1.4477107424705324,1.4607841236363772,2.5461575416132827,2.1774303898227085,1.933013400911817,1.990555416074911,2.2959354521776127,2.251576938101818,2.543924511057546,2.331463349812984,2.771271038517079,2.487029051876451,3.1310876968859107,2.975723284368301,3.5248062527970814,3.776839619516333,3.2093594474345433,3.18386421526223,2.6735909038925354,2.807436377604528,2.14898972248978,1.7320439272377643,2.067316612275947,1.5925747215099135,1.6834046042436377,1.888401431089232,2.320597097569861,2.442757886988144,3.1401472198004527,2.915224314043613,2.572080876370002,2.1904456067071556,1.7011126412197608,1.6140778647269993,1.512397556028358,1.6983646831658512,1.8472532873306213,2.2764495786219383,2.0266039399244007,1.8133932043063106,1.6397433055405084,1.5725059230711134,1.4899887725623848,1.6407129247378045,1.9265218954005836,1.9425647628993705,1.9112653832963737,1.8555813878206475,2.6326489797231982,3.222135004877154,3.0159394133120423,3.5786496764652456,3.0078937008933133,3.033912943755681,2.7408516704878028,2.4755003616152824,2.4310512758876,2.04991742746433,1.7890688165968478,1.5451470829635765,1.5187481626399506,1.4196903542886194,1.6081044094316541,1.625181138126772,1.517394276559475,1.6389855771369062,1.983786072263675,1.8130463103433456,1.7947351692263378,2.0739992311998323,2.347622246158474,2.1674209532726754,2.273183741954165,2.6923147284258735,2.550431796909324,2.3902479260804617,2.0475268188228815,2.2220742279956562,1.7384231147682057,1.7236891570183528,1.758801431344948,1.5980803427239432,1.9247590164751274,1.726037291227344,1.9271500275215037,1.6678997488929623,1.563558083085893,1.534815569168061,1.5821250903345128,1.588173888567195,1.5035745518593393,1.5967701516104673,1.9167647726718453,1.7992774235619615,1.7048710742319424,2.096070136861085,2.2265587750598863,1.9919537170824042,2.0847474622385027,1.5937108412596857,1.522860589569694,1.5622761618293395,1.5556598323075774,1.6957290926247104,1.776778597525414,1.901107001819634,1.7307727900506735,1.8434978834876583,2.109678560433544,2.136283463823157,2.0376748956935287,2.34811931560304,2.6403113991839113,2.455125908948496,2.309541103444956,2.606154245353325,2.7964043889720007,2.4468099484661754,2.3066609583105055,2.0550872822602027,1.9006505682119434,1.7920832548032117,1.6737581049159957,1.6731124361367835,1.6896152296830356,1.5288687163982406,1.5364303255326475,1.6160404357696483,1.5238529206622284,1.5998445014972007,1.7508482777085845,1.6570691989484783,1.6920447007065897,1.9217290699068361,1.9280437094941956,1.8448663087183572,1.7117583428390126,2.1152119574319155,2.124324869906536,1.7938755991680657,1.785775960068634,1.7290631118895399,2.0258446063154505,1.8853147436309465,1.679866551605319,1.716726864177207,1.6357405264999667,1.4903668124167768,1.5359212427624882,1.3872590863826864,1.492215875359441,2.2814323350761008,1.9837482364977463,2.139551011308736,2.359632920480142,2.4916382545011384,2.697826979119781,2.9155498995887172,2.9018699874743765,2.965718337134065,3.149439280077541,3.013123026737521,3.4685248144561953,3.2189955324291226,3.384218906377559],[3.606972230758245,3.227622044994923,2.900745775651071,2.9439844115970604,2.4669259134368717,3.335936014018054,3.523774230873882,3.83039026240273,4.5794305830502715,4.858040035266924,5.328009825173938,5.097336051656101,4.710732029680431,5.4634125679521,5.622444391167225,4.9954492705853895,4.670889773722732,4.615032987106966,4.222446367980962,3.700646493233636,3.5786005871036397,3.2601085741294873,3.3559627229850846,3.3403067497019374,3.2834304259919214,3.448723000727249,3.3283535107735753,3.618382836277107,3.965135185301925,4.086596664037658,4.907274712362684,4.480878961354312,4.769549642270327,4.588422826192484,4.177280901475728,4.018268592220933,3.663245268119375,3.2602339160008356,2.9512261416781223,2.893116247977595,3.1052416611762617,3.1200518149068768,3.108675847402846,3.31108971165868,3.735128812083087,3.9787012886531428,4.334134036983869,3.5186755996502557,3.5773219745966216,4.036776306870657,3.4637281151967936,3.5067464010265628,3.4109700026953376,3.1210640082791454,3.119601242683805,3.1532361498506862,3.1536545767450295,3.1282947126166776,3.128913553556624,3.3457614630057066,3.2022380838285898,3.3186749122926242,3.5914243764510605,3.5795636238351594,3.31543420189224,3.4763466679391057,3.9103410175771462,4.324808120502712,4.723973023418709,5.429921842494412,5.543826597061258,5.7603219899108655,5.510458816477169,4.834408869162715,4.807234697256797,4.625689673460462,4.042586898896272,4.129817300476442,3.7762203791516296,3.426886009135794,3.27284140489847,2.9561490338948717,3.020809308879395,2.7212728129852954,2.722232150532437,2.9432417900043095,3.1614989162560763,3.450972617772657,3.7137691493758167,4.14431193290502,4.471750065076018,4.772483311965251,5.078123610043612,5.207193571158424,5.343066021373553,5.794525278205147,5.921839122756338,5.230203995504976,5.002558980221369,4.762898182986294,4.309486112219477,3.674346671277699,3.407620970860658,2.912660215110776,2.3876417984351073,2.3473660685688578,2.2351610188768922,2.067192355523063,1.9146721503430089,2.2528799142637013,2.307736813687861,2.3593741505944683,3.0631626825675564,2.7749624547632847,3.875597292085433,3.4788659760722656,3.9327407503623144,3.7417659517831283,4.324975477230137,4.813413282731996,5.3078139615931565,5.364814093635343,4.436136929872876,4.003680094008531,3.6905935488637693,2.38420027324442,2.497037007199328,2.0559716448130274,1.9547427512302755,2.037159477851811,2.2666158399306435,2.3742454047932244,2.8906050350572285,2.471160086953454,2.623775223265575,2.1852814954488395,2.170095126079296,2.0448347398311535,1.9439911162516639,2.2243734966919027,2.8472494102848986,3.7226049121643494,3.175571712776346,2.7620657408126563,2.935412661738384,3.0543151066219383,2.9185808615968853,3.2605167506931583,3.0155381388921185,3.5774879179374213,3.250959090587505,4.120546747805,3.939816589815336,4.641533249075361,4.9965773153352,4.2986354348310325,4.216574386329274,3.524604547020904,3.6838871880287725,2.815199528508384,2.3889898185136005,2.8247047154930396,2.4787719891024764,2.66410196305772,3.160090062388518,3.631272989987443,3.861449595937974,4.757350801111582,4.4671754966755675,3.9591959134630446,3.4684727841496765,2.7779237475893406,2.704167168112853,2.433231196251057,2.5125343992918188,2.6016677187983954,3.0709444721225414,2.8177561487165104,2.655599218720405,2.4854931101249753,2.5725156671141383,2.285461151957682,2.6632497165421185,3.0785087997312846,3.1068540875509214,3.143510136624817,3.105990954213599,3.8981734227274374,4.565685015525896,4.376030517678864,5.002761417457081,4.138467937364313,4.424719500266531,4.033122906893532,3.717410829168312,3.6607302598167175,3.1683261202773925,2.7467538327557914,2.339594822617355,2.0201999572966303,1.9678650819735877,2.048349985669047,2.051776854411775,1.9691454946051974,2.069865129173945,2.4067593531495564,2.2265944892043077,2.194452729766842,2.5391292195099155,2.8504413816668155,2.613422101209708,2.7574660298843323,3.299886002616836,3.101007139193896,2.900382983787173,2.5143733055408215,2.627707531360587,2.1536013097174638,2.128115888574407,2.180827600443636,2.0996559874733385,2.275158592506,2.1596179268166433,2.332732894751015,2.1124306263147936,2.142811963297175,2.112010590157896,2.2910060314703595,2.3185907939480592,2.1820397306971855,2.35908385218707,2.7977152449116396,2.6327288821899075,2.5607563148038466,3.0139741371898525,3.254196960313145,2.954752874388254,3.081778388833037,2.400891574403981,2.326618608418333,2.3039376007017607,2.1120628259517824,2.195300300679062,2.239921725670136,2.2837420951455782,2.143982826859032,2.2666881561453422,2.5458894259765525,2.554205043072205,2.4768169030853433,2.8505201215933806,3.212914449023893,2.9858511513955186,2.8143307736815024,3.2052755940727633,3.459394825847439,3.0110585320567953,2.840655850307718,2.526038245956522,2.3512308651378313,2.2404706653296733,2.1209252654209925,2.1246004683045245,2.12654055992082,2.0371719242179123,2.058122217920435,2.058654722755908,2.0631147387160547,2.2599364647246887,2.312325537257287,2.1921202922406224,2.4386285615557983,2.728602248219399,2.621848225133057,2.5150022622271,2.285047881193912,2.7113429400774183,2.6089923468395733,2.2283772203678462,2.191441628947393,2.1301579383936136,2.4453458976113294,2.2569299117278483,2.1053687999934096,2.24145392856818,2.152077344967139,2.0195329309749184,1.9874258265068498,1.884111029251139,1.9257869937367533,2.702789967130514,2.4594068436435608,2.659455057982191,2.939286973684463,3.0236620669010055,3.2769176671016815,3.656629309791289,3.645199383879708,3.612007677604581,3.9121630403071785,3.9157058694076143,4.505057886490049,4.338971590106464,4.389656421469383],[3.318301947146961,3.0261363846870766,2.898154029871315,2.767192707143258,2.566177611557525,2.959754730992558,3.1410880774718835,3.5244026625199645,4.227690348199831,4.643892028089524,5.295183100371763,5.089882724095749,4.790871998716076,5.566736053286585,6.091517646520847,5.4598862869831875,5.165562174633391,5.483549896976998,5.388017654333075,4.596475401328073,4.606698429923667,4.029134343886685,4.161720943883584,3.917513654482153,3.7943627184961346,4.217107477998924,3.86803922355106,4.173644037947425,4.58056432305899,4.555663205415925,5.709714010259414,4.986357791448302,5.376969561600817,5.377880381655972,4.870804732347297,4.762809851833215,4.182844536670688,3.782186747884688,3.3326887257190605,3.242015631069532,3.304869831650716,3.625394745720317,3.548439645354222,3.5154116582365806,3.8254851016265055,3.93664156161048,4.32115105347955,3.7274156543384662,3.683394711797486,4.134908280601804,3.681242311865335,3.7813907854858844,3.7334298809507835,3.51614791656385,3.6188893574211543,3.5315384036052113,3.5468941514692878,3.698990120166246,3.7030608818528368,3.6613411866438885,3.795832726077249,4.2257235637280495,4.600554410102483,4.700498723677352,4.2280510143342545,4.4009810988823075,5.176555068873245,5.493251344241628,6.128916462190986,6.66097558227473,6.971263445930053,7.33578800887875,6.9252379758341425,6.333674797704602,6.047609335151471,5.878869869085284,5.136991276039748,5.178371754499923,4.68879074121365,4.205116983902779,3.9117503658187274,3.467978730341399,3.548163179300943,3.1923439523265413,3.152281261682326,3.388507944586165,3.7333142019062073,4.064418866045183,4.526569406523092,5.006611232822536,5.444973439961225,5.85109924118322,6.083950717514507,6.048451744094516,6.0519320799815555,6.511456150514473,6.466407962345006,5.676750353028495,5.242837940333627,4.871206854016771,4.584373207790539,3.803598944043712,3.692568979362317,3.1553230121808817,2.9336013355446973,2.7878066840714517,2.957173101855128,3.161351582052126,2.8958489071647446,2.7641412132560226,2.6151974819724964,2.5908653861504116,2.9211516818874816,2.693854536619635,3.8036234193336758,3.4089644323988804,4.234842334799443,4.167226462757042,5.471329817585206,5.717144037821376,6.073401793376012,5.580585326891978,4.32010907402363,3.7281092563772944,3.3411707358964273,2.3516348220983048,2.514193236644832,2.4764868731617566,2.741558970034669,3.028900629596884,3.5872551446027465,3.7826479764598533,4.258146339509988,3.667673457547364,3.826989777063151,3.0729039004538286,3.2534907588246647,2.8462007752003804,2.5379716020705776,2.3385838198038904,2.4282387920779596,3.012763214846701,2.9501905894525047,2.681498223173953,3.0022560288786995,3.3202441625591455,3.056737151847935,3.3795971165268353,3.09241281784123,3.47252406852562,3.1914774494223344,3.926899083359043,3.8393571396671535,4.416665828916795,4.87555207142843,4.286593820710746,4.240056032985703,3.5611764903609067,3.836740108775899,3.0025928178264576,2.697110743721289,3.1103745415784028,2.6615562405130055,2.9514285819785195,3.4131731125226,4.033062771161135,4.534386256607854,5.506550397992429,5.580088433877911,5.0051965399720215,4.473786570808294,3.4834993130222385,3.245357776871565,2.955641587630302,2.939444115975333,3.013367039009256,3.4139318075793144,3.2536549381828315,3.0957146980637384,3.060683157813934,3.171359256975419,2.992983921900296,3.6375752122352796,4.119668388297885,4.074502634568198,3.763341212609026,3.4569160726272377,4.125717178012263,4.777393559707898,5.022133108599743,5.74038409919203,5.036384033171293,5.615837933519564,5.342596177541587,5.148770633429894,5.189365131610827,4.654987527236019,4.2950307191817805,3.845295051631641,3.281726021776717,3.3415790055416354,2.9614023132140823,2.8784155486868284,3.111060553939809,3.0354815801033124,2.877112400903688,2.9178469418347337,3.0136911089771066,2.9485695109741314,2.989571505915502,2.9761777032854804,3.021809250887884,3.1974361765340222,3.09473831610873,3.1140140478887446,3.052221446278245,3.0889733694209647,3.3107943068731185,3.194765827117375,3.1534266299508085,3.3987286753828068,3.5488206849245953,3.5963273440036834,3.614842448222378,3.5791897023968904,3.622277845506796,3.5104812719238576,3.8507254191485467,3.9593192589217407,3.7109453638475687,3.9452422847140745,4.455614662017267,4.322300411078774,4.213525720016741,4.657928995289579,4.981119666035621,4.663225540469277,4.711896569601856,3.9999444637945913,3.830003463137496,3.7732836990810865,3.4083848764605977,3.351733357737445,3.216500642445653,3.0781045732361547,3.090795571571079,3.0417564833113326,3.0275755252601106,2.9679348599588775,2.9727132744559666,3.092973721018879,3.259126216545073,3.1038396960655645,3.0794852213378894,3.2299327368963198,3.3306222978730595,3.112177759030506,3.0566770888212744,3.000335571050012,3.013735586039514,3.040019721767385,3.2466347581781188,3.154509529958854,3.077548143366484,3.3219640538906163,3.4752105785424474,3.377646093551059,3.5242568645854657,3.9002058756784357,3.9259208962055636,3.7635730960004863,4.120348544685768,4.486015719808838,4.332405380762607,4.19272005653501,3.822271989270963,4.307964234319554,3.97099397465945,3.555883409283081,3.273336263024385,3.110742929180559,2.8848801876090877,3.0338271017720215,3.1716563954382493,3.6223905676354256,3.631812098416459,3.4512400370831853,2.976078788165213,3.13065124862914,2.6717553988969756,2.876610357192732,2.692609554921054,2.800711629342212,2.9436425466906155,2.9114420603364732,3.0810396237471527,3.347271531583905,3.3153138372555375,3.2151759359527885,3.4729324931292083,3.564995376369904,4.086616604547622,4.106300451087318,4.3097896565633835]]}]}